## Found 1,002 Documents (Results 1–100)

100
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### On the division fields of an elliptic curve and an effective bound to the hypotheses of the local-global divisibility. (English)Zbl 07543087

MSC:  11G05 11G07
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### An elliptic curve analogue of Pillai’s lower bound on primitive roots. (English)Zbl 07532818

MSC:  11G20 14H52
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### Linear complexity of some sequences derived from hyperelliptic curves of genus 2. (English)Zbl 1484.11141

MSC:  11G20 11K45 11T71
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### Special values of triple-product $$p$$-adic L-functions and non-crystalline diagonal classes. (English. French summary)Zbl 07469016

MSC:  11G40 11F85
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### A congruence property of Fourier coefficients for modular forms. (English)Zbl 07523002

MSC:  14H52 11G05 11G07
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### Improved torsion-point attacks on SIDH variants. (English)Zbl 07512107

Malkin, Tal (ed.) et al., Advances in cryptology – CRYPTO 2021. 41st annual international cryptology conference, CRYPTO 2021, virtual event, August 16–20, 2021. Proceedings. Part III. Cham: Springer. Lect. Notes Comput. Sci. 12827, 432-470 (2021).
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### Faster point compression for elliptic curves of $$j$$-invariant 0. (English)Zbl 07511189

MSC:  94A60 11G07 11T71
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### High-throughput elliptic curve cryptography using AVX2 vector instructions. (English)Zbl 1485.94071

Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 698-719 (2021).
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### Trapdoor DDH groups from pairings and isogenies. (English)Zbl 1485.94102

Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 431-450 (2021).
MSC:  94A60 11G07 14G50
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### On index calculus algorithms for subfield curves. (English)Zbl 1485.94086

Dunkelman, Orr (ed.) et al., Selected areas in cryptography. 27th international conference, Halifax, NS, Canada (virtual event), October 21–23, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12804, 115-138 (2021).
MSC:  94A60 11G07 14G50
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### Elliptic curves with all quartic twists of the same root number. (English)Zbl 07473072

MSC:  11G05 11G07
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### Tamagawa products of elliptic curves over $$\mathbb{Q}$$. (English)Zbl 07456279

MSC:  11G05 11G07 11M41
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### Rubin’s conjecture on local units in the anticyclotomic tower at inert primes. (English)Zbl 07441739

MSC:  11R23 11G07 11G15
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### CSURF-TWO: CSIDH for the ratio $$(2:1)$$. (English)Zbl 1479.94166

Wu, Yongdong (ed.) et al., Information security and cryptology. 16th international conference, Inscrypt 2020, Guangzhou, China, December 11–14, 2020. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 12612, 148-156 (2021).
MSC:  94A60 11G07 81P94
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### Adelic point groups of elliptic curves. (English)Zbl 1472.11172

MSC:  11G05 11G07 11F80
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### The greatest common valuation of $$\phi_n$$ and $$\psi_n^2$$ at points on elliptic curves. (English)Zbl 07391364

MSC:  11G07 14H52 14G20
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### Constructing plus/minus local points over Iwasawa Kummer extensions, and Iwasawa theory for supersingular reduction. (English)Zbl 1479.11095

MSC:  11G05 11R23 11G07
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### On elements of large order on elliptic curves and multiplicative dependent images of rational functions over finite fields. (English)Zbl 1479.11106

MSC:  11G20 11G05 11G07
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### The positive integer solutions of elliptic curves $${y^2} = qx ({x^2} - 256)$$. (Chinese. English summary)Zbl 1474.11087

MSC:  11D25 11G05 11G07
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### The proportion of genus one curves over $$\mathbb{Q}$$ defined by a binary quartic that everywhere locally have a point. (English)Zbl 1484.11133

MSC:  11G07 11G05
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### On elliptic curves with complex multiplication and root numbers. (English)Zbl 1479.11096

MSC:  11G05 11G07
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### The discriminant in universal formulas for the canonical lifting. (English)Zbl 1479.11100

MSC:  11G07 11F03
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### Fundamentals of cryptography. Introducing mathematical and algorithmic foundations. (English)Zbl 1467.94001

Undergraduate Topics in Computer Science. Cham: Springer (ISBN 978-3-030-73491-6/pbk; 978-3-030-73492-3/ebook). xv, 278 p. (2021).
MSC:  94-01 94A60 11G07
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### On oriented supersingular elliptic curves. (English)Zbl 1469.11177

MSC:  11G07 11Z05
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### Effective forms of the Sato-Tate conjecture. (English)Zbl 1465.11140

MSC:  11F70 11G05 11F30
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### Improved classical cryptanalysis of SIKE in practice. (English)Zbl 1481.94093

Kiayias, Aggelos (ed.) et al., Public-key cryptography – PKC 2020. 23rd IACR international conference on practice and theory of public-key cryptography, Edinburgh, UK, May 4–7, 2020. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12111, 505-534 (2020).
MSC:  94A60 81P94 11G07
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### An identity-based encryption scheme using isogeny of elliptic curves. (English)Zbl 07387214

MSC:  11G07 14K02
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### Beilinson-Kato and Beilinson-Flach elements, Coleman-Rubin-Stark classes, Heegner points and a conjecture of Perrin-riou. (English)Zbl 1473.11119

Kurihara, Masato (ed.) et al., Development of Iwasawa theory – the centennial of K. Iwasawa’s birth. Proceedings of the international conference “Iwasawa 2017”, University of Tokyo, Tokyo, Japan, July 19–28, 2017. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 86, 141-193 (2020).
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MSC:  11G05
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### On two problems about isogenies of elliptic curves over finite fields. (English)Zbl 1474.11119

MSC:  11G07 11G20 14H52
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### Solution distribution of integral points on the elliptic curve $${y^2} = nx ({x^2} + 256)$$. (Chinese. English summary)Zbl 1474.11118

MSC:  11G05 11G07
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### Computing the optimal ate pairing over elliptic curves with embedding degrees 54 and 48 at the 256-bit security level. (English)Zbl 1461.94083

MSC:  94A60 11G20 11G05
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### Supersingular curves with small noninteger endomorphisms. (English)Zbl 1460.11093

Galbraith, Steven D. (ed.), ANTS XIV. Proceedings of the fourteenth algorithmic number theory symposium, Auckland, New Zealand, virtual event, June 29 – July 4, 2020. Berkeley, CA: Mathematical Sciences Publishers (MSP). Open Book Ser. 4, 7-22 (2020).
MSC:  11G20 14H52
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### On the distribution of orders of Frobenius action on $$\ell$$-torsion of abelian surfaces. (English)Zbl 1457.11091

MSC:  11G25 14H52 14Q05
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### The existence of supersingular curves of genus 4 in arbitrary characteristic. (English)Zbl 1461.14038

MSC:  14H25 11G20
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### An elementary proof for the number of supersingular elliptic curves. (English)Zbl 1452.11071

MSC:  11G20 11G07
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### Root number of twists of an elliptic curve. (English. French summary)Zbl 1459.11133

MSC:  11G05 11G07
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### On integral points on isotrivial elliptic curves over function fields. (English)Zbl 1456.11102

MSC:  11G05 11G20
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### Rank and bias in families of hyperelliptic curves via Nagao’s conjecture. (English)Zbl 1469.11169

MSC:  11G05 11G20 11G25
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### On the $$p$$-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields. (English)Zbl 1469.11217

MSC:  11G40 11F85
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### Wild Galois representations: elliptic curves over a 3-adic field. (English)Zbl 1469.11176

MSC:  11G07 11F80 11G40
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### On the degree of the $$p$$-torsion field of elliptic curves over $$\mathbb{Q}_\ell$$ for $$\ell \neq p$$. (English)Zbl 1448.11103

MSC:  11G05 11G07
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### Wild Galois representations: elliptic curves over a $$2$$-adic field with non-abelian inertia action. (English)Zbl 1465.11149

MSC:  11G07 11F80
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### Inferring sequences produced by elliptic curve generators using Coppersmith’s methods. (English)Zbl 1452.11093

MSC:  11K45 94A60 11G07
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### Orders of points in families of elliptic curves. (English)Zbl 1436.11061

MSC:  11G05 11G07
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### Weierstrass coefficients of the canonical lifting. (English)Zbl 1456.11105

MSC:  11G07 11F03
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### Some notes on the multiplicative order of $$\alpha+\alpha^{-1}$$ in finite fields of characteristic two. (English)Zbl 1449.11113

MSC:  11T30 11G20 37P55
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### Honda-Kaneko congruences and the Mazur-Tate $$p$$-adic $$\sigma$$-function. (English)Zbl 1472.11131

MSC:  11F33 11G07
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### Alternative method to find the number of points on Koblitz curve. (English)Zbl 1448.11117

MSC:  11G20 11T71 94A60
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### Cycles in the supersingular $$\ell$$-isogeny graph and corresponding endomorphisms. (English)Zbl 1436.11148

Balakrishnan, Jennifer S. (ed.) et al., Research directions in number theory. Women in numbers IV. Proceedings of the women in numbers, WIN4 workshop. Banff International Research Station, Banff, Alberta, Canada, August 14–18, 2017. Cham: Springer. Assoc. Women Math. Ser. 19, 41-66 (2019).
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### Optimized method for computing odd-degree isogenies on Edwards curves. (English)Zbl 1458.94251

Galbraith, Steven D. (ed.) et al., Advances in cryptology – ASIACRYPT 2019. 25th international conference on the theory and application of cryptology and information security, Kobe, Japan, December 8–12, 2019. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 11922, 273-292 (2019).
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### Corrigendum to: “On a special case of Watkins’ conjecture”. (English)Zbl 1465.11147

MSC:  11G05 11G20
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### Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction. (English)Zbl 1456.11212

Reviewer: Wei Feng (Beijing)
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