The database currently contains 661,077 elliptic curves in 320,449 isogeny classes, over 396 number fields of degree from 2 up to 6. Elliptic curves defined over $\mathbb{Q}$ are contained in a separate database.

## Browse elliptic curves defined over:

- 130 real quadratic fields, including: \(\Q(\sqrt{5}) \) , \(\Q(\sqrt{89}) \) , \(\Q(\sqrt{229}) \) , \(\Q(\sqrt{497}) \)
- 13 imaginary quadratic fields, including: \(\Q(\sqrt{-1}) \) , \(\Q(\sqrt{-2}) \) , \(\Q(\sqrt{-3}) \) , \(\Q(\sqrt{-7}) \) , \(\Q(\sqrt{-11}) \)
- 62 cubic fields, including: 3.1.23.1 , \(\Q(\zeta_{7})^+\) , 3.3.148.1 , 3.3.1957.1
- 123 totally real quartic fields, including: 4.4.725.1 , 4.4.2777.1 , 4.4.9909.1 , 4.4.19821.1
- 34 totally real quintic fields, including: \(\Q(\zeta_{11})^+\) , 5.5.24217.1 , 5.5.36497.1 , 5.5.38569.1 , 5.5.65657.1
- 34 totally real sextic fields, including: 6.6.300125.1 , \(\Q(\zeta_{13})^+\) , 6.6.434581.1 , \(\Q(\zeta_{21})^+\) , 6.6.485125.1
- All available fields

A random elliptic curve from the database

### Browse elliptic curves by degree of base number field: 2, 3, 4, 5, 6

### Curves with interesting properties:

- A curve with $C_3\times C_3$ torsion
- A curve with $C_4\times C_4$ torsion
- A curve with CM by $\sqrt{-267}$
- An isogeny class with isogenies of degree $3$ and $89$ (and $267$)
- A curve with everywhere good reduction, but no global minimal model