cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A110620 Number of elliptic curves (up to isomorphism) of conductor n.

This page as a plain text file.
%I A110620 #9 Nov 05 2024 12:16:46
%S A110620 0,0,0,0,0,0,0,0,0,0,3,0,0,6,8,0,4,0,3,4,6,0,0,6,0,5,4,0,0,8,0,4,4,4,
%T A110620 3,4,4,5,4,4,0,6,1,2,8,2,0,6,4,8,2,2,1,6,4,6,7,3,0,0,1,4,6,4,2,12,1,0,
%U A110620 2,4,0,6,2,0,12,1,6,4,1,8,0,2,1,6,2,0,0,1,3,16,4,3,0,2,0,8,0,6,11,4,1,12,0
%N A110620 Number of elliptic curves (up to isomorphism) of conductor n.
%H A110620 J. E. Cremona, <a href="/A110620/b110620.txt">Table of n, a(n) for n = 1..10000</a>
%H A110620 A. Brumer and J. H. Silverman, <a href="https://doi.org/10.1007/BF02567942">The number of elliptic curves over Q with conductor N</a>, Manuscripta Math. 91 (1996), no. 1, 95-102.
%H A110620 J. E. Cremona, <a href="https://johncremona.github.io/ecdata/">Elliptic Curve Data</a>.
%H A110620 LMFDB, <a href="https://www.lmfdb.org/EllipticCurve/Q/">Elliptic curves over Q</a>.
%e A110620 a(11)=3 since there are three non-isomorphic elliptic curves of conductor eleven, represented by the minimal models y^2+y=x^3-x^2-10*x-20, y^2+y=x^3-x^2-7820*x-263580 and y^2+y=x^3-x^2.
%o A110620 (Sage)  # Uses Cremona's database of elliptic curves (works for all n < 500000)
%o A110620 def a(n):
%o A110620     return CremonaDatabase().number_of_curves(n)  # _Robin Visser_, Nov 04 2024
%Y A110620 Cf. A005788, A060564.
%K A110620 nonn
%O A110620 1,11
%A A110620 _Steven Finch_, Sep 14 2005