The database currently contains the complete Cremona database. This contains all 2,483,649 elliptic curves defined over $\Q$ with conductor at most 400,000.
Here are some further statistics.

## Browse elliptic curves over $\Q$

By conductor: 1-99 100-999 1000-9999 10000-99999 100000-400000

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

A random elliptic curve from the database