## Refine search

*The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.

## Results (1-50 of 496 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
49.1-CMa1 $$\Q(\sqrt{-3})$$ 49.1 49.1-CMa $$\bigl[0$$ , $$a + 1$$ , $$a$$ , $$a$$ , $$0\bigr]$$
49.3-CMa1 $$\Q(\sqrt{-3})$$ 49.3 49.3-CMa $$\bigl[0$$ , $$-a - 1$$ , $$a + 1$$ , $$a$$ , $$-a\bigr]$$
81.1-CMa1 $$\Q(\sqrt{-3})$$ 81.1 81.1-CMa $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$0\bigr]$$
144.1-CMa1 $$\Q(\sqrt{-3})$$ 144.1 144.1-CMa $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$1\bigr]$$
256.1-CMb1 $$\Q(\sqrt{-3})$$ 256.1 256.1-CMb $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$0\bigr]$$
256.1-CMa1 $$\Q(\sqrt{-3})$$ 256.1 256.1-CMa $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$0\bigr]$$
441.1-CMa1 $$\Q(\sqrt{-3})$$ 441.1 441.1-CMa $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$-10 a + 14\bigr]$$
441.3-CMa1 $$\Q(\sqrt{-3})$$ 441.3 441.3-CMa $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$9 a + 4\bigr]$$
729.1-CMb1 $$\Q(\sqrt{-3})$$ 729.1 729.1-CMb $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-a\bigr]$$
729.1-CMa1 $$\Q(\sqrt{-3})$$ 729.1 729.1-CMa $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$0\bigr]$$
784.1-CMb1 $$\Q(\sqrt{-3})$$ 784.1 784.1-CMb $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$94 a - 105\bigr]$$
784.1-CMa1 $$\Q(\sqrt{-3})$$ 784.1 784.1-CMa $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$-2 a + 4\bigr]$$
784.3-CMb1 $$\Q(\sqrt{-3})$$ 784.3 784.3-CMb $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$-94 a - 11\bigr]$$
784.3-CMa1 $$\Q(\sqrt{-3})$$ 784.3 784.3-CMa $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$2 a + 2\bigr]$$
961.1-CMa1 $$\Q(\sqrt{-3})$$ 961.1 961.1-CMa $$\bigl[0$$ , $$a + 1$$ , $$1$$ , $$a$$ , $$287 a - 76\bigr]$$
961.3-CMa1 $$\Q(\sqrt{-3})$$ 961.3 961.3-CMa $$\bigl[0$$ , $$-a - 1$$ , $$1$$ , $$a$$ , $$-287 a + 211\bigr]$$
1296.1-CMa1 $$\Q(\sqrt{-3})$$ 1296.1 1296.1-CMa $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$4\bigr]$$
1521.1-CMb1 $$\Q(\sqrt{-3})$$ 1521.1 1521.1-CMb $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$-136 a + 165\bigr]$$
1521.1-CMa1 $$\Q(\sqrt{-3})$$ 1521.1 1521.1-CMa $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$-4 a + 2\bigr]$$
1521.3-CMb1 $$\Q(\sqrt{-3})$$ 1521.3 1521.3-CMb $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$135 a + 29\bigr]$$
1521.3-CMa1 $$\Q(\sqrt{-3})$$ 1521.3 1521.3-CMa $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$3 a - 2\bigr]$$
1849.1-CMa1 $$\Q(\sqrt{-3})$$ 1849.1 1849.1-CMa $$\bigl[0$$ , $$-a - 1$$ , $$1$$ , $$a$$ , $$0\bigr]$$
1849.3-CMa1 $$\Q(\sqrt{-3})$$ 1849.3 1849.3-CMa $$\bigl[0$$ , $$a + 1$$ , $$1$$ , $$a$$ , $$0\bigr]$$
2304.1-CMa1 $$\Q(\sqrt{-3})$$ 2304.1 2304.1-CMa $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$-1\bigr]$$
2401.3-CMd1 $$\Q(\sqrt{-3})$$ 2401.3 2401.3-CMd $$\bigl[0$$ , $$a + 1$$ , $$1$$ , $$a$$ , $$-27 a + 50\bigr]$$
2401.3-CMc1 $$\Q(\sqrt{-3})$$ 2401.3 2401.3-CMc $$\bigl[0$$ , $$-a - 1$$ , $$a$$ , $$a$$ , $$-10 a + 48\bigr]$$
2401.3-CMb1 $$\Q(\sqrt{-3})$$ 2401.3 2401.3-CMb $$\bigl[0$$ , $$a + 1$$ , $$a + 1$$ , $$a$$ , $$9 a + 38\bigr]$$
2401.3-CMa1 $$\Q(\sqrt{-3})$$ 2401.3 2401.3-CMa $$\bigl[0$$ , $$-a - 1$$ , $$1$$ , $$a$$ , $$27 a + 23\bigr]$$
3969.1-CMc1 $$\Q(\sqrt{-3})$$ 3969.1 3969.1-CMc $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-159 a + 177\bigr]$$
3969.1-CMb1 $$\Q(\sqrt{-3})$$ 3969.1 3969.1-CMb $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$15 a - 28\bigr]$$
3969.1-CMa1 $$\Q(\sqrt{-3})$$ 3969.1 3969.1-CMa $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-2\bigr]$$
3969.3-CMc1 $$\Q(\sqrt{-3})$$ 3969.3 3969.3-CMc $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$158 a + 19\bigr]$$
3969.3-CMb1 $$\Q(\sqrt{-3})$$ 3969.3 3969.3-CMb $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$-15 a - 13\bigr]$$
3969.3-CMa1 $$\Q(\sqrt{-3})$$ 3969.3 3969.3-CMa $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$-a - 1\bigr]$$
4096.1-CMb1 $$\Q(\sqrt{-3})$$ 4096.1 4096.1-CMb $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$2 a - 1\bigr]$$
4096.1-CMa1 $$\Q(\sqrt{-3})$$ 4096.1 4096.1-CMa $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$-2 a + 1\bigr]$$
4489.1-CMa1 $$\Q(\sqrt{-3})$$ 4489.1 4489.1-CMa $$\bigl[0$$ , $$-a - 1$$ , $$a + 1$$ , $$a$$ , $$2040 a - 987\bigr]$$
4489.3-CMa1 $$\Q(\sqrt{-3})$$ 4489.3 4489.3-CMa $$\bigl[0$$ , $$a + 1$$ , $$a$$ , $$a$$ , $$-2041 a + 1054\bigr]$$
5625.1-CMb1 $$\Q(\sqrt{-3})$$ 5625.1 5625.1-CMb $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$156\bigr]$$
5625.1-CMa1 $$\Q(\sqrt{-3})$$ 5625.1 5625.1-CMa $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$1\bigr]$$
5776.1-CMc1 $$\Q(\sqrt{-3})$$ 5776.1 5776.1-CMc $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$-349 a + 190\bigr]$$
5776.1-CMb1 $$\Q(\sqrt{-3})$$ 5776.1 5776.1-CMb $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$-6 a - 12\bigr]$$
5776.1-CMa1 $$\Q(\sqrt{-3})$$ 5776.1 5776.1-CMa $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$a$$ , $$a - 1\bigr]$$
5776.3-CMc1 $$\Q(\sqrt{-3})$$ 5776.3 5776.3-CMc $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$349 a - 159\bigr]$$
5776.3-CMb1 $$\Q(\sqrt{-3})$$ 5776.3 5776.3-CMb $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$6 a - 18\bigr]$$
5776.3-CMa1 $$\Q(\sqrt{-3})$$ 5776.3 5776.3-CMa $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$a$$ , $$-a\bigr]$$
6241.1-CMa1 $$\Q(\sqrt{-3})$$ 6241.1 6241.1-CMa $$\bigl[0$$ , $$a + 1$$ , $$a + 1$$ , $$a$$ , $$-a\bigr]$$
6241.3-CMa1 $$\Q(\sqrt{-3})$$ 6241.3 6241.3-CMa $$\bigl[0$$ , $$-a - 1$$ , $$a$$ , $$a$$ , $$0\bigr]$$
6561.1-CMf1 $$\Q(\sqrt{-3})$$ 6561.1 6561.1-CMf $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-3 a\bigr]$$
6561.1-CMe1 $$\Q(\sqrt{-3})$$ 6561.1 6561.1-CMe $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$2 a - 2\bigr]$$