Dina, Bogdan; Ionica, Sorina; Sijsling, Jeroen Isogenous hyperelliptic and non-hyperelliptic Jacobians with maximal complex multiplication. (English) Zbl 1507.14044 Math. Comput. 92, No. 339, 349-383 (2023). Reviewer: Tony Ezome (Libreville) MSC: 14H40 14H25 14H45 14H50 14K20 14K22 PDFBibTeX XMLCite \textit{B. Dina} et al., Math. Comput. 92, No. 339, 349--383 (2023; Zbl 1507.14044) Full Text: DOI arXiv
Kirschmer, Markus; Narbonne, Fabien; Ritzenthaler, Christophe; Robert, Damien Spanning the isogeny class of a power of an elliptic curve. (English) Zbl 1486.14046 Math. Comput. 91, No. 333, 401-449 (2022). Reviewer: Anatoli Shatsila (Kraków) MSC: 14H42 14G15 14H45 16H20 PDFBibTeX XMLCite \textit{M. Kirschmer} et al., Math. Comput. 91, No. 333, 401--449 (2022; Zbl 1486.14046) Full Text: DOI HAL
Hanselman, Jeroen; Schiavone, Sam; Sijsling, Jeroen Gluing curves of genus 1 and 2 along their 2-torsion. (English) Zbl 1472.14036 Math. Comput. 90, No. 331, 2333-2379 (2021). Reviewer: Sebastián Reyes-Carocca (Temuco) MSC: 14H40 14H25 14H30 14H45 14H50 14K20 14K30 PDFBibTeX XMLCite \textit{J. Hanselman} et al., Math. Comput. 90, No. 331, 2333--2379 (2021; Zbl 1472.14036) Full Text: DOI arXiv
Marseglia, Stefano Computing square-free polarized abelian varieties over finite fields. (English) Zbl 1469.11211 Math. Comput. 90, No. 328, 953-971 (2021). MSC: 11G25 11G20 14G15 14K02 PDFBibTeX XMLCite \textit{S. Marseglia}, Math. Comput. 90, No. 328, 953--971 (2021; Zbl 1469.11211) Full Text: DOI arXiv Link
Moody, Dustin; Shumow, Daniel Analogues of Vélu’s formulas for isogenies on alternate models of elliptic curves. (English) Zbl 1339.14026 Math. Comput. 85, No. 300, 1929-1951 (2016). Reviewer: Andrea Bandini (Parma) MSC: 14K02 14H52 11G05 11Y16 PDFBibTeX XMLCite \textit{D. Moody} and \textit{D. Shumow}, Math. Comput. 85, No. 300, 1929--1951 (2016; Zbl 1339.14026) Full Text: DOI
Nelson, Paul D. Evaluating modular forms on Shimura curves. (English) Zbl 1323.11021 Math. Comput. 84, No. 295, 2471-2503 (2015). Reviewer: Oliver Stein (Bonn) MSC: 11F11 11Y40 11F27 PDFBibTeX XMLCite \textit{P. D. Nelson}, Math. Comput. 84, No. 295, 2471--2503 (2015; Zbl 1323.11021) Full Text: DOI arXiv
Bisson, Gaetan Computing endomorphism rings of abelian varieties of dimension two. (English) Zbl 1315.11102 Math. Comput. 84, No. 294, 1977-1989 (2015). MSC: 11Y40 11G10 14K15 PDFBibTeX XMLCite \textit{G. Bisson}, Math. Comput. 84, No. 294, 1977--1989 (2015; Zbl 1315.11102) Full Text: DOI arXiv
Cosset, Romain; Robert, Damien Computing \((\ell,\ell)\)-isogenies in polynomial time on Jacobians of genus \(2\) curves. (English) Zbl 1315.11103 Math. Comput. 84, No. 294, 1953-1975 (2015). MSC: 11Y40 11T71 14H40 14K02 94A60 PDFBibTeX XMLCite \textit{R. Cosset} and \textit{D. Robert}, Math. Comput. 84, No. 294, 1953--1975 (2015; Zbl 1315.11103) Full Text: DOI
Streng, Marco Computing Igusa class polynomials. (English) Zbl 1322.11066 Math. Comput. 83, No. 285, 275-309 (2014). MSC: 11G15 14K22 11Y40 PDFBibTeX XMLCite \textit{M. Streng}, Math. Comput. 83, No. 285, 275--309 (2014; Zbl 1322.11066) Full Text: DOI arXiv
Ionica, Sorina; Joux, Antoine Pairing the volcano. (English) Zbl 1278.11067 Math. Comput. 82, No. 281, 581-603 (2013). Reviewer: Imin Chen (Burnaby) MSC: 11G20 11Y16 14H52 14K02 PDFBibTeX XMLCite \textit{S. Ionica} and \textit{A. Joux}, Math. Comput. 82, No. 281, 581--603 (2013; Zbl 1278.11067) Full Text: DOI
Bröker, Reinier; Lauter, Kristin; Sutherland, Andrew V. Modular polynomials via isogeny volcanoes. (English) Zbl 1267.11125 Math. Comput. 81, No. 278, 1201-1231 (2012). MSC: 11Y16 11G15 11G20 PDFBibTeX XMLCite \textit{R. Bröker} et al., Math. Comput. 81, No. 278, 1201--1231 (2012; Zbl 1267.11125) Full Text: DOI arXiv
Sutherland, Andrew V. Constructing elliptic curves over finite fields with prescribed torsion. (English) Zbl 1267.11074 Math. Comput. 81, No. 278, 1131-1147 (2012). MSC: 11G05 11-04 11G20 14G15 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Math. Comput. 81, No. 278, 1131--1147 (2012; Zbl 1267.11074) Full Text: DOI arXiv
Sutherland, Andrew V. Computing Hilbert class polynomials with the Chinese remainder theorem. (English) Zbl 1231.11144 Math. Comput. 80, No. 273, 501-538 (2011). Reviewer: Florin Nicolae (Berlin) MSC: 11Y16 11G15 11G20 14H52 PDFBibTeX XMLCite \textit{A. V. Sutherland}, Math. Comput. 80, No. 273, 501--538 (2011; Zbl 1231.11144) Full Text: DOI arXiv
Rubin, K.; Silverberg, A. Choosing the correct elliptic curve in the CM method. (English) Zbl 1213.11127 Math. Comput. 79, No. 269, 545-561 (2010). Reviewer: Olaf Ninnemann (Uffing am Staffelsee) MSC: 11G15 11G07 11G20 11T71 PDFBibTeX XMLCite \textit{K. Rubin} and \textit{A. Silverberg}, Math. Comput. 79, No. 269, 545--561 (2010; Zbl 1213.11127) Full Text: DOI
Enge, Andreas Computing modular polynomials in quasi-linear time. (English) Zbl 1215.11121 Math. Comput. 78, No. 267, 1809-1824 (2009). Reviewer: Dimitros Poulakis (Thessaloniki) MSC: 11Y16 11G15 11G50 PDFBibTeX XMLCite \textit{A. Enge}, Math. Comput. 78, No. 267, 1809--1824 (2009; Zbl 1215.11121) Full Text: DOI
Enge, Andreas The complexity of class polynomial computation via floating point approximations. (English) Zbl 1208.11136 Math. Comput. 78, No. 266, 1089-1107 (2009). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 11Y16 11G15 PDFBibTeX XMLCite \textit{A. Enge}, Math. Comput. 78, No. 266, 1089--1107 (2009; Zbl 1208.11136) Full Text: DOI
Bröker, Reinier A \(p\)-adic algorithm to compute the Hilbert class polynomial. (English) Zbl 1223.11073 Math. Comput. 77, No. 264, 2417-2435 (2008). Reviewer: Jannis A. Antoniadis (Iraklion) MSC: 11G15 11R54 11Y35 PDFBibTeX XMLCite \textit{R. Bröker}, Math. Comput. 77, No. 264, 2417--2435 (2008; Zbl 1223.11073) Full Text: DOI
Dimitrov, Vassil; Imbert, Laurent; Mishra, Pradeep K. The double-base number system and its application to elliptic curve cryptography. (English) Zbl 1133.14034 Math. Comput. 77, No. 262, 1075-1104 (2008). Reviewer: Juan Tena Ayuso (Valladolid) MSC: 14G50 94A60 11A63 11T71 PDFBibTeX XMLCite \textit{V. Dimitrov} et al., Math. Comput. 77, No. 262, 1075--1104 (2008; Zbl 1133.14034) Full Text: DOI
Bernstein, Daniel J.; Sorenson, Jonathan P. Modular exponentiation via the explicit Chinese remainder theorem. (English) Zbl 1183.11080 Math. Comput. 76, No. 257, 443-454 (2007). MSC: 11Y16 68W10 PDFBibTeX XMLCite \textit{D. J. Bernstein} and \textit{J. P. Sorenson}, Math. Comput. 76, No. 257, 443--454 (2007; Zbl 1183.11080) Full Text: DOI
van der Geer, Gerard; van der Vlugt, Marcel Tables of curves with many points. (English) Zbl 0965.11028 Math. Comput. 69, No. 230, 797-810 (2000). Reviewer: Harald Niederreiter (Wien) MSC: 11G20 14G15 14H05 11G50 PDFBibTeX XMLCite \textit{G. van der Geer} and \textit{M. van der Vlugt}, Math. Comput. 69, No. 230, 797--810 (2000; Zbl 0965.11028) Full Text: DOI