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The database currently contains the Cremona database of all 2,365,566 elliptic curves defined over $\Q$ with conductor at most 379,998, all of which have rank $\leq 4$. Here are some further statistics.

Browse elliptic curves over $\Q$

By conductor: 1-99 100-999 1000-9999 10000-99999 100000-379998

By rank: 0 1 2 3 4

By torsion order: 1 2 3 4 5 6 7 8 9 10 12 16

A random elliptic curve from the database

Find a specific curve or isogeny class by coefficients or LMFDB label


e.g. 11.a2 or 389.a or Cremona:11a1 or [0,1,1,-2,0] or [-3024, 46224]

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conductor e.g. 389 or 100-200 j-invariant e.g. 1728 or -4096/11
rank e.g. 0
torsion order e.g. 2 torsion structure e.g. [2,4]
analytic order of Ш e.g. 4
surjective primes e.g. 2,3 non-surjective primes e.g. 2,3
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