The database currently contains the Cremona database of all 2,483,649 elliptic curves defined over $\Q$ with conductor at most 400,000, all of which have rank $\leq 4$. Here are some further statistics.

## Browse elliptic curves over $\Q$

By rank: 0 1 2 3 4

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]

## Search

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 conductor e.g. 389 or 100-200 j-invariant e.g. 1728 or -4096/11 rank e.g. 0 CM include exclude only torsion order e.g. 2 torsion structure any trivial $C_{2}$ $C_{3}$ $C_{4}$ $C_{5}$ $C_{6}$ $C_{7}$ $C_{8}$ $C_{9}$ $C_{10}$ $C_{12}$ $C_{2}\times C_{2}$ $C_{2}\times C_{4}$ $C_{2}\times C_{6}$ $C_{2}\times C_{8}$ analytic order of Ш e.g. 4 isogeny degree e.g. 16 maximal primes e.g. 2,3 non-maximal primes include exactly e.g. 2,3 Optimal only No Yes Maximum number of curves to display