Hwang, Wontae; Jeon, Daeyeol Modular curves with infinitely many quartic points. (English) Zbl 07753433 Math. Comput. 93, No. 345, 383-395 (2024). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11G18 11G30 PDFBibTeX XMLCite \textit{W. Hwang} and \textit{D. Jeon}, Math. Comput. 93, No. 345, 383--395 (2024; Zbl 07753433) Full Text: DOI
Savaş Çelık, Gamze; Soydan, Gökhan Elliptic curves containing sequences of consecutive cubes. (English) Zbl 1405.14081 Rocky Mt. J. Math. 48, No. 7, 2163-2174 (2018). Reviewer: Andrea Bandini (Parma) MSC: 14H52 11B83 11D25 11G05 14G05 PDFBibTeX XMLCite \textit{G. Savaş Çelık} and \textit{G. Soydan}, Rocky Mt. J. Math. 48, No. 7, 2163--2174 (2018; Zbl 1405.14081) Full Text: DOI arXiv Euclid
Bennett, Michael A.; Rechnitzer, Andrew Computing elliptic curves over \(\mathbb{Q}\): bad reduction at one prime. (English) Zbl 1410.11045 Melnik, Roderick (ed.) et al., Recent progress and modern challenges in applied mathematics, modeling and computational science. Toronto: The Fields Institute for Research in the Mathematical Sciences; New York, NY: Springer. Fields Inst. Commun. 79, 387-415 (2017). MSC: 11G05 11D25 11D59 11E76 11Y50 11Y65 14H52 PDFBibTeX XMLCite \textit{M. A. Bennett} and \textit{A. Rechnitzer}, Fields Inst. Commun. 79, 387--415 (2017; Zbl 1410.11045) Full Text: DOI
Bhargava, Manjul; Shankar, Arul Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. (English) Zbl 1307.11071 Ann. Math. (2) 181, No. 1, 191-242 (2015). Reviewer: D. R. Heath-Brown (Oxford) MSC: 11G05 11E76 11P21 PDFBibTeX XMLCite \textit{M. Bhargava} and \textit{A. Shankar}, Ann. Math. (2) 181, No. 1, 191--242 (2015; Zbl 1307.11071) Full Text: DOI arXiv
Najman, Filip Exceptional elliptic curves over quartic fields. (English) Zbl 1295.11064 Int. J. Number Theory 8, No. 5, 1231-1246 (2012). MSC: 11G05 11G18 11R16 14G25 14H52 PDFBibTeX XMLCite \textit{F. Najman}, Int. J. Number Theory 8, No. 5, 1231--1246 (2012; Zbl 1295.11064) Full Text: DOI arXiv
Kagawa, Takaaki The Diophantine equation \(X^3=u+v\) over real quadratic fields. (English) Zbl 1228.11039 Bull. Pol. Acad. Sci., Math. 59, No. 1, 1-9 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11D25 11G05 PDFBibTeX XMLCite \textit{T. Kagawa}, Bull. Pol. Acad. Sci., Math. 59, No. 1, 1--9 (2011; Zbl 1228.11039) Full Text: DOI EuDML
Fujita, Yasutsugu The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves. (English) Zbl 1248.11025 Rocky Mt. J. Math. 39, No. 6, 1907-1932 (2009). MSC: 11D25 11B39 11D09 11G05 PDFBibTeX XMLCite \textit{Y. Fujita}, Rocky Mt. J. Math. 39, No. 6, 1907--1932 (2009; Zbl 1248.11025) Full Text: DOI
Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark Average ranks of elliptic curves: tension between data and conjecture. (English) Zbl 1190.11032 Bull. Am. Math. Soc., New Ser. 44, No. 2, 233-254 (2007). MSC: 11G05 11-02 11D25 11Y35 11Y40 PDFBibTeX XMLCite \textit{B. Bektemirov} et al., Bull. Am. Math. Soc., New Ser. 44, No. 2, 233--254 (2007; Zbl 1190.11032) Full Text: DOI
Draziotis, Konstantinos; Poulakis, Dimitrios Practical solution of the Diophantine equation \( y^2 = x(x+2^ap^b)(x-2^ap^b)\). (English) Zbl 1119.11073 Math. Comput. 75, No. 255, 1585-1593 (2006). Reviewer: Alain S. Togbe (Westville) MSC: 11Y50 11D25 11G05 PDFBibTeX XMLCite \textit{K. Draziotis} and \textit{D. Poulakis}, Math. Comput. 75, No. 255, 1585--1593 (2006; Zbl 1119.11073) Full Text: DOI
Dujella, Andrej Diophantine \(m\)-tuples and elliptic curves. (English) Zbl 1046.11034 J. Théor. Nombres Bordx. 13, No. 1, 111-124 (2001). MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, J. Théor. Nombres Bordx. 13, No. 1, 111--124 (2001; Zbl 1046.11034) Full Text: DOI Numdam EuDML EMIS
Dujella, Andrej Diophantine triples and construction of high-rank elliptic curves over \(\mathbb{Q}\) with three nontrivial 2-torsion points. (English) Zbl 0989.11032 Rocky Mt. J. Math. 30, No. 1, 157-164 (2000). Reviewer: Federico Pellarin (Caen) MSC: 11G05 11D25 PDFBibTeX XMLCite \textit{A. Dujella}, Rocky Mt. J. Math. 30, No. 1, 157--164 (2000; Zbl 0989.11032) Full Text: DOI arXiv Link
Rose, Harvey E. On some elliptic curves with large sha. (English) Zbl 0983.11032 Exp. Math. 9, No. 1, 85-89 (2000). Reviewer: Roelof J.Stroeker (Rotterdam) MSC: 11G05 14H52 11D25 PDFBibTeX XMLCite \textit{H. E. Rose}, Exp. Math. 9, No. 1, 85--89 (2000; Zbl 0983.11032) Full Text: DOI Euclid EuDML
Stroeker, Roel J.; Tzanakis, Nikos On the elliptic logarithm method for elliptic Diophantine equations: reflections and an improvement. (English) Zbl 0979.11060 Exp. Math. 8, No. 2, 135-149 (1999). Reviewer: I.Gaál (Debrecen) MSC: 11Y50 11D25 11G05 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{N. Tzanakis}, Exp. Math. 8, No. 2, 135--149 (1999; Zbl 0979.11060) Full Text: DOI Euclid EuDML
Cremona, J. E. Reduction of binary cubic and quartic forms. (English) Zbl 0927.11020 LMS J. Comput. Math. 2, 62-92 (1999). Reviewer: A.Pethő (Debrecen) MSC: 11E76 12Y05 11R16 11R29 11H55 PDFBibTeX XMLCite \textit{J. E. Cremona}, LMS J. Comput. Math. 2, 64--94 (1999; Zbl 0927.11020) Full Text: DOI Link
Stroeker, Roelof J.; de Weger, Benjamin M. M. Elliptic binomial diophantine equations. (English) Zbl 0920.11014 Math. Comput. 68, No. 227, 1257-1281 (1999). Reviewer: Jan-Hendrik Evertse (Leiden) MSC: 11D25 11G05 11B65 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{B. M. M. de Weger}, Math. Comput. 68, No. 227, 1257--1281 (1999; Zbl 0920.11014) Full Text: DOI
Buchholz, Ralph H.; Rathbun, Randall L. Heron triangles and elliptic curves. (English) Zbl 0923.11052 Bull. Aust. Math. Soc. 58, No. 3, 411-421 (1998). Reviewer: Edward J. Barbeau (Toronto) MSC: 11D25 11G05 51N35 14G05 PDFBibTeX XMLCite \textit{R. H. Buchholz} and \textit{R. L. Rathbun}, Bull. Aust. Math. Soc. 58, No. 3, 411--421 (1998; Zbl 0923.11052) Full Text: DOI
Schneiders, Ursula Estimating the 2-rank of cubic fields by Selmer groups of elliptic curves. (English) Zbl 0870.11033 J. Number Theory 62, No. 2, 375-396 (1997). Reviewer: F.Lemmermeyer (Heidelberg) MSC: 11G05 11R16 11R29 11R37 PDFBibTeX XMLCite \textit{U. Schneiders}, J. Number Theory 62, No. 2, 375--396 (1997; Zbl 0870.11033) Full Text: DOI
Stroeker, Roel J.; de Weger, Benjamin M. M. On elliptic diophantine equations that defy Thue’s method: The case of the Ochoa curve. (English) Zbl 0824.11012 Exp. Math. 3, No. 3, 209-220 (1994). Reviewer: N.Tzanakis (Iraklion) MSC: 11D25 11Y50 11G05 PDFBibTeX XMLCite \textit{R. J. Stroeker} and \textit{B. M. M. de Weger}, Exp. Math. 3, No. 3, 209--220 (1994; Zbl 0824.11012) Full Text: DOI Euclid EuDML EMIS
Wada, Hideo; Tairo, Mayako Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\). (English) Zbl 0820.14040 Proc. Japan Acad., Ser. A 70, No. 5, 154-157 (1994). Reviewer: J.R.Sendra (Madrid) MSC: 14Q05 14H52 11D25 11G05 PDFBibTeX XMLCite \textit{H. Wada} and \textit{M. Tairo}, Proc. Japan Acad., Ser. A 70, No. 5, 154--157 (1994; Zbl 0820.14040) Full Text: DOI