ecdata swMATH ID: 27596 Software Authors: J. E. Cremona Description: ecdata Elliptic Curve Data. This is a repository of the data files containing the Cremona Database of all elliptic curves over Q of bounded conductor. Homepage: http://johncremona.github.io/ecdata/ Source Code: https://github.com/JohnCremona/ecdata Related Software: Magma; SageMath; PARI/GP; LMFDB; mwrank; APECS; KANT/KASH; GitHub; Mathematica; Maple; eclib; OEIS; Coleman; QCI; CLN; MathOverflow; TECC; UBASIC; GL(n)pack; eisenstein_series Cited in: 330 Publications Standard Articles 2 Publications describing the Software, including 2 Publications in zbMATH Year Algorithms for modular elliptic curves. Zbl 0872.14041Cremona, J. E. 1997 Algorithms for modular elliptic curves. Zbl 0758.14042Cremona, J. E. 1992 all top 5 Cited by 322 Authors 21 Dujella, Andrej 17 Cremona, John E. 13 Siksek, Samir 10 Fisher, Tom A. 10 Peral Alonso, Juan Carlos 8 González-Jiménez, Enrique 8 Mazur, Barry 8 Stein, William A. 7 Wuthrich, Christian 6 Jeon, Daeyeol 6 Stoll, Michael 5 Bennett, Michael A. 5 Delaunay, Christophe 5 Halberstadt, Emmanuel 5 Kraus, Alain 4 Agashe, Amod 4 Billerey, Nicolas 4 Freitas, Nuno 4 González, Josep R. 4 Jukić Bokun, Mirela 4 Kida, Masanari 4 Matsuno, Kazuo 4 Najman, Filip 4 Poonen, Bjorn 4 Rubin, Karl Cooper 4 Stroeker, Roelof J. 4 Tadić, Petra 3 Aguirre Estibalez, Julián 3 Box, Josha 3 Chen, Imin 3 Darmon, Henri René 3 de Weger, Benjamin M. M. 3 Doyle, John R. 3 Galbraith, Steven D. 3 Leprévost, Franck 3 Lorenzini, Dino J. 3 Schaefer, Edward F. 3 Tornero, José María 3 Voight, John Michael 3 Yang, Yifan 3 Zhai, Shuai 2 Aygin, Zafer Selçuk 2 Balakrishnan, Jennifer S. 2 Bruin, Nils 2 Brunault, François 2 Bugeaud, Yann 2 Dieulefait, Luis Victor 2 Draziotis, Konstantinos A. 2 Fernandez, Julio 2 Flynn, Eugene Victor 2 García-Selfa, Irene 2 Guitart, Xavier 2 Gusić, Ivica 2 Jarvis, Frazer 2 Kim, Chang Heon 2 Klosin, Krzysztof 2 Krishnamoorthy, Srilakshmi 2 Lario, Joan-Carles 2 Liu, Qing 2 Luca, Florian 2 Matar, Ahmed 2 Mignotte, Maurice 2 Miller, Robert L. 2 Morton, Patrick 2 Nakano, Shin-ichi 2 Ono, Ken 2 Papikian, Mihran 2 Park, Jinseo 2 Poulakis, Dimitrios 2 Rechnitzer, Andrew Daniel 2 Reynolds, Jonathan 2 Rotger, Victor 2 Sairaiji, Fumio 2 Schoof, René 2 Schweizer, Andreas 2 Silverman, Joseph Hillel 2 Simon, Denis 2 Smart, Nigel P. 2 Soydan, Gokhan 2 Vatsal, Vinayak 2 Verrill, Helena A. 2 Wang, Xueli 2 Watkins, Mark James 2 Xarles, Xavier 2 Yamauchi, Takuya 2 Yasaki, Dan 1 Adachi, Norio 1 Akiyama, Shigeki 1 Alaca, Ayşe 1 Alaca, Şaban 1 Anshel, Michael 1 Arias-de-Reyna, Sara 1 Armana, Cécile 1 Ash, Avner 1 Askerov, Idrak M. 1 Ballet, Stéphane 1 Barrios, Alexander J. 1 Bars Cortina, Francesc 1 Bauer, Mark L. 1 Bayer Isant, Pilar ...and 222 more Authors all top 5 Cited in 80 Serials 46 Journal of Number Theory 32 Mathematics of Computation 21 International Journal of Number Theory 20 Experimental Mathematics 17 Journal de Théorie des Nombres de Bordeaux 11 Proceedings of the Japan Academy. Series A 11 Transactions of the American Mathematical Society 11 LMS Journal of Computation and Mathematics 8 Rocky Mountain Journal of Mathematics 8 Duke Mathematical Journal 7 Manuscripta Mathematica 6 Acta Arithmetica 5 Journal of Algebra 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Annalen 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Proceedings of the American Mathematical Society 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Research in Number Theory 3 Bulletin of the Australian Mathematical Society 3 Archiv der Mathematik 3 Compositio Mathematica 3 Journal of Pure and Applied Algebra 3 Glasnik Matematički. Serija III 3 The Ramanujan Journal 3 Journal of the European Mathematical Society (JEMS) 2 Advances in Mathematics 2 Annales de l’Institut Fourier 2 Functiones et Approximatio. Commentarii Mathematici 2 Glasgow Mathematical Journal 2 Mathematische Zeitschrift 2 Results in Mathematics 2 Acta Mathematica Hungarica 2 Journal of Symbolic Computation 2 Revista Matemática Iberoamericana 2 Journal of the American Mathematical Society 2 Forum Mathematicum 2 Science in China. Series A 2 Bulletin of the American Mathematical Society. New Series 2 Journal of Algebraic Geometry 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Annals of Mathematics. Second Series 2 Communications of the Korean Mathematical Society 2 Journal of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Linear and Multilinear Algebra 1 Periodica Mathematica Hungarica 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tokyo Journal of Mathematics 1 Facta Universitatis. Series Mathematics and Informatics 1 The Journal of Geometric Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 The New York Journal of Mathematics 1 Mathematical Research Letters 1 Documenta Mathematica 1 Journal of Mathematical Chemistry 1 The Asian Journal of Mathematics 1 Journal for Geometry and Graphics 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Far East Journal of Mathematical Sciences 1 Journal of High Energy Physics 1 Integers 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Central European Journal of Mathematics all top 5 Cited in 22 Fields 311 Number theory (11-XX) 119 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 4 Special functions (33-XX) 3 Field theory and polynomials (12-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Numerical analysis (65-XX) 3 Computer science (68-XX) 2 Mathematical logic and foundations (03-XX) 2 \(K\)-theory (19-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year