The Modular Forms Database William A. Stein Tables The Modular Forms Explorer Elliptic Curves Calculator Software Papers Lecture notes If you have any questions or comments, please send email to was@math.harvard.edu. In order to make these tables, I made extensive use of MAGMA, C++, LiDIA, and PARI, and greatly appreciate the work of the designers of these packages. If you find these tables ...

Table with ellitic curves with largest known ranks for curves with given torsion group ...

Rational Points on Elliptic Curves (last updated, Jul. 30, 2002) Curves (Short) Weierstrass forms Diophantine Equations y2 = x3 + b y2 = x3 + ax y2 = x3 + ax + b X3 + Y3 = A A : integer, X, Y : rational (y2 = x3 - 432A2) y2 = Dx4+1 Congruent numbers : D (y2 = x3 - D2x) Concordant numbers : n (y2 = x(x+1)(x+n) ) y2 = (x+p)(x2+p2) (x+y+z)(1/x+1/y+1/z)=n n, x, y, z : integer (y2 = x3 + (n2-6n-3)x2 ...

Modular Polynomials visitors since Sep. 18, 2000. This page links to the data of modular polynomials. There is also a Perl program mpoly.pl that generates a Maple program to use modular polynomial data. Now we have the data up to level 95 (4/1/2002). INSTRUCTION Download modular polynomial data of prime level in plain text format from Fujitsu Laboratory: http://www.labs.fujitsu.

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Best known conductors for elliptic curves of given rank The curves are given in the form . There are four classes of curves here, which I've colour-coded in what I hope is a meaningful way: Green Curve is known to have the smallest conductor for that rank, as a result of an exhaustive search over conductors Blue Curve is known to have the smallest conductor for that rank among curves with ...

Tables with currents records for generic ranks of elliptic curves with given torsion group ...

Tables of rank one Drinfeld modules Complete tables of sign-normalized, rank one, Drinfeld modules on the elliptic curves over finite fields of order less than 16 were computed by Dummit and Hayes (Mathematics of Computation, 62, 875-883) in 1994. These tables are available in two usable formats by anonymous ftp. The first format is designed for inclusion in TeX documents, and the second is ...

Elliptic curves with CM defined over extensions of type (2, ..., 2) Joan-C. Lario This horizontal page contains data on the finite set (up to isomorphism) of elliptic curves with complex multiplication defined over extensions of type (2, ..., 2). An elliptic curve over the complex numbers is said to have CM if its algebra of endomorphisms is larger than the ring of rational integers. Class Field ...