The database currently contains 319,882 elliptic curves in 139,552 isogeny classes, over 330 number fields (not including $\mathbb{Q}$) of degree up to 6.

## Browse elliptic curves defined over:

- the rational field: $\Q$
- 138 real quadratic fields, including: \(\Q(\sqrt{5}) \) , \(\Q(\sqrt{89}) \) , \(\Q(\sqrt{229}) \) , \(\Q(\sqrt{497}) \)
- 5 imaginary quadratic fields: \(\Q(\sqrt{-1}) \) , \(\Q(\sqrt{-2}) \) , \(\Q(\sqrt{-3}) \) , \(\Q(\sqrt{-7}) \) , \(\Q(\sqrt{-11}) \)
- 62 cubic fields, including: 3.1.23.1 , 3.3.49.1 , 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
- 1 totally real quintic field: 5.5.14641.1
- 1 totally real sextic field: 6.6.371293.1
- All available fields

### 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