John Cremona

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Samir SiksekUniversity of WarwickVerified email at warwick.ac.uk
Andrew V. SutherlandPrincipal Research Scientist, Massachusetts Institute of TechnologyVerified email at math.mit.edu
David J RusinUniversity of TexasVerified email at math.utexas.edu
John VoightDartmouth CollegeVerified email at dartmouth.edu
Elise WhitleyMedical statisticianVerified email at glasgow.ac.uk
Ariel Martin PacettiUniversidade de AveiroVerified email at ua.pt
Mark van HoeijProfessor of Mathematics, Florida State UniversityVerified email at math.fsu.edu
Barinder S. BanwaitHarish-Chandra Research InstituteVerified email at hri.res.in
Jon KeatingSedleian Professor of Natural Philosophy, University of OxfordVerified email at maths.ox.ac.uk
Nicholas G JonesUniversity of CambridgeVerified email at cam.ac.uk
Mohammad SadekSabanci UniversityVerified email at sabanciuniv.edu
Andrew R. BookerProfessor of pure Mathematics, University of BristolVerified email at bristol.ac.uk
Alex J BestVerified email at kcl.ac.uk
Edgar CostaResearch Scientist at Massachusetts Institute of TechnologyVerified email at mit.edu
David Lowry-DudaICERMVerified email at lowryduda.com
Filip NajmanDepartment of Mathematics, Faculty of Science, University of ZagrebVerified email at math.pmf.unizg.hr
E A O'BrienUniversity of AucklandVerified email at math.auckland.ac.nz

John Cremona

University of Warwick

Verified email at warwick.ac.uk - Homepage

Number Theory


Title Sort by citations Sort by year Sort by title	Cited by Cited by	Year
Algorithms for Modular Elliptic Curves Full Canadian Binding JE Cremona Cambridge University Press, 1997	1292	1997
Elliptic curve data JE Cremona http://www. maths. nott. ac. uk/personal/jec/ftp/data/INDEX. html, 2004	206	2004
Systematics of bonding in non-icosahedral carbon clusters PW Fowler, JE Cremona, JI Steer Theoretica chimica acta 73, 1-26, 1988	193	1988
Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields JE Cremona Compositio Mathematica 51 (3), 275-324, 1984	136	1984
Efficient solution of rational conics JE Cremona, D Rusin Mathematics of Computation 72 (243), 1417-1442, 2003	109	2003
Explicit n-descent on elliptic curves, I. Algebra JE Cremona, TA Fisher, C O'Neil, D Simon, M Stoll Walter de Gruyter 2008 (615), 121-155, 2008	106	2008
Reduction of binary cubic and quartic forms JE Cremona LMS Journal of Computation and Mathematics 2 (1), 62-92, 1999	103	1999
Visualizing Elements in the Shafarevich—Tate Group JE Cremona, B Mazur Experimental Mathematics 9 (1), 13-28, 2000	97	2000
Height difference bounds for elliptic curves over number fields JE Cremona, M Prickett, S Siksek Journal of Number Theory 116 (1), 42-68, 2006	73	2006
Minimisation and reduction of 2-, 3-and 4-coverings of elliptic curves JE Cremona, TA Fisher, M Stoll Algebra & Number Theory 4 (6), 763-820, 2010	71	2010
Computational mathematics with SageMath P Zimmermann, A Casamayou, N Cohen, G Connan, T Dumont, L Fousse, ... Society for Industrial and Applied Mathematics, 2018	69	2018
Finding all elliptic curves with good reduction outside a given set of primes JE Cremona, MP Lingham Experimental Mathematics 16 (3), 303-312, 2007	62	2007
Periods of cusp forms and elliptic curves over imaginary quadratic fields JE Cremona, E Whitley Mathematics of computation 62 (205), 407-429, 1994	59	1994
On the reduction theory of binary forms M Stoll, JE Cremona Walter de Gruyter GmbH & Co. KG 2003 (565), 79-99, 2003	54	2003
Classical invariants and 2-descent on elliptic curves JE Cremona Journal of Symbolic Computation 31 (1-2), 71-87, 2001	54	2001
The elliptic curve database for conductors to 130000 J Cremona International Algorithmic Number Theory Symposium, 11-29, 2006	48	2006
Abelian varieties with extra twist, cusp forms, and elliptic curves over imaginary quadratic fields JE Cremona Journal of the London Mathematical Society 2 (3), 404-416, 1992	47	1992
Modular symbols for 1 (N) and elliptic curves with everywhere good reduction JE Cremona Mathematical Proceedings of the Cambridge Philosophical Society 111 (2), 199-218, 1992	47	1992
Computing the degree of the modular parametrization of a modular elliptic curve JE Cremona Mathematics of computation 64 (211), 1235-1250, 1995	42	1995
Some density results for negative Pell equations; an application of graph theory JE Cremona, RWK Odoni Journal of the London Mathematical Society 2 (1), 16-28, 1989	42	1989

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