## 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 60 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
25.2-d1 $$\Q(\sqrt{6})$$ 25.2 25.2-d $$\bigl[0$$ , $$-a$$ , $$1$$ , $$2$$ , $$-192 a - 470\bigr]$$
25.2-d2 $$\Q(\sqrt{6})$$ 25.2 25.2-d $$\bigl[0$$ , $$-a$$ , $$a + 1$$ , $$2$$ , $$a - 5\bigr]$$
25.3-d1 $$\Q(\sqrt{6})$$ 25.3 25.3-d $$\bigl[0$$ , $$a$$ , $$1$$ , $$2$$ , $$192 a - 470\bigr]$$
25.3-d2 $$\Q(\sqrt{6})$$ 25.3 25.3-d $$\bigl[0$$ , $$a$$ , $$a + 1$$ , $$2$$ , $$-2 a - 5\bigr]$$
36.1-a1 $$\Q(\sqrt{6})$$ 36.1 36.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$198 a - 485\bigr]$$
36.1-a2 $$\Q(\sqrt{6})$$ 36.1 36.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$1\bigr]$$
81.1-b3 $$\Q(\sqrt{6})$$ 81.1 81.1-b $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$0\bigr]$$
81.1-b4 $$\Q(\sqrt{6})$$ 81.1 81.1-b $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$49 a - 123\bigr]$$
100.2-a1 $$\Q(\sqrt{6})$$ 100.2 100.2-a $$\bigl[0$$ , $$-a$$ , $$a$$ , $$2$$ , $$-2\bigr]$$
100.2-a2 $$\Q(\sqrt{6})$$ 100.2 100.2-a $$\bigl[0$$ , $$-a$$ , $$a$$ , $$2$$ , $$-9 a - 23\bigr]$$
100.2-b1 $$\Q(\sqrt{6})$$ 100.2 100.2-b $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$50 a - 123\bigr]$$
100.2-b2 $$\Q(\sqrt{6})$$ 100.2 100.2-b $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$-4 a - 9\bigr]$$
100.3-a1 $$\Q(\sqrt{6})$$ 100.3 100.3-a $$\bigl[0$$ , $$a$$ , $$a$$ , $$2$$ , $$-2\bigr]$$
100.3-a2 $$\Q(\sqrt{6})$$ 100.3 100.3-a $$\bigl[0$$ , $$a$$ , $$a$$ , $$2$$ , $$9 a - 23\bigr]$$
100.3-b1 $$\Q(\sqrt{6})$$ 100.3 100.3-b $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$-50 a - 123\bigr]$$
100.3-b2 $$\Q(\sqrt{6})$$ 100.3 100.3-b $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$4 a - 9\bigr]$$
144.1-c1 $$\Q(\sqrt{6})$$ 144.1 144.1-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$-1\bigr]$$
144.1-c2 $$\Q(\sqrt{6})$$ 144.1 144.1-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$0$$ , $$198 a + 485\bigr]$$
225.2-i1 $$\Q(\sqrt{6})$$ 225.2 225.2-i $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$6 a - 15\bigr]$$
225.2-i2 $$\Q(\sqrt{6})$$ 225.2 225.2-i $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$10 a + 24\bigr]$$
225.3-i1 $$\Q(\sqrt{6})$$ 225.3 225.3-i $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$-6 a - 15\bigr]$$
225.3-i2 $$\Q(\sqrt{6})$$ 225.3 225.3-i $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-11 a + 24\bigr]$$
256.1-c1 $$\Q(\sqrt{6})$$ 256.1 256.1-c $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$-a - 3\bigr]$$
256.1-c2 $$\Q(\sqrt{6})$$ 256.1 256.1-c $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$-a + 3\bigr]$$
256.1-f1 $$\Q(\sqrt{6})$$ 256.1 256.1-f $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$a - 3\bigr]$$
256.1-f2 $$\Q(\sqrt{6})$$ 256.1 256.1-f $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$a + 3\bigr]$$
324.1-a1 $$\Q(\sqrt{6})$$ 324.1 324.1-a $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$-2\bigr]$$
324.1-a2 $$\Q(\sqrt{6})$$ 324.1 324.1-a $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$99 a + 241\bigr]$$
400.2-c1 $$\Q(\sqrt{6})$$ 400.2 400.2-c $$\bigl[0$$ , $$a$$ , $$a$$ , $$2$$ , $$-1\bigr]$$
400.2-c2 $$\Q(\sqrt{6})$$ 400.2 400.2-c $$\bigl[0$$ , $$a$$ , $$a$$ , $$2$$ , $$9 a + 20\bigr]$$
400.2-e1 $$\Q(\sqrt{6})$$ 400.2 400.2-e $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$4 a + 9\bigr]$$
400.2-e2 $$\Q(\sqrt{6})$$ 400.2 400.2-e $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$-50 a + 123\bigr]$$
400.2-g1 $$\Q(\sqrt{6})$$ 400.2 400.2-g $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$-1534 a - 3758\bigr]$$
400.2-g2 $$\Q(\sqrt{6})$$ 400.2 400.2-g $$\bigl[0$$ , $$a$$ , $$0$$ , $$2$$ , $$14 a - 26\bigr]$$
400.3-c1 $$\Q(\sqrt{6})$$ 400.3 400.3-c $$\bigl[0$$ , $$-a$$ , $$a$$ , $$2$$ , $$-1\bigr]$$
400.3-c2 $$\Q(\sqrt{6})$$ 400.3 400.3-c $$\bigl[0$$ , $$-a$$ , $$a$$ , $$2$$ , $$-9 a + 20\bigr]$$
400.3-e1 $$\Q(\sqrt{6})$$ 400.3 400.3-e $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$-4 a + 9\bigr]$$
400.3-e2 $$\Q(\sqrt{6})$$ 400.3 400.3-e $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$50 a + 123\bigr]$$
400.3-g1 $$\Q(\sqrt{6})$$ 400.3 400.3-g $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$1534 a - 3758\bigr]$$
400.3-g2 $$\Q(\sqrt{6})$$ 400.3 400.3-g $$\bigl[0$$ , $$-a$$ , $$0$$ , $$2$$ , $$-14 a - 26\bigr]$$
625.1-a1 $$\Q(\sqrt{6})$$ 625.1 625.1-a $$\bigl[0$$ , $$a$$ , $$1$$ , $$2$$ , $$3 a + 6\bigr]$$
625.1-a2 $$\Q(\sqrt{6})$$ 625.1 625.1-a $$\bigl[0$$ , $$a$$ , $$a + 1$$ , $$2$$ , $$-110 a + 267\bigr]$$
625.1-d1 $$\Q(\sqrt{6})$$ 625.1 625.1-d $$\bigl[0$$ , $$a$$ , $$1$$ , $$2$$ , $$63 a - 154\bigr]$$
625.1-d2 $$\Q(\sqrt{6})$$ 625.1 625.1-d $$\bigl[0$$ , $$a$$ , $$a + 1$$ , $$2$$ , $$-5 a - 13\bigr]$$
625.1-g1 $$\Q(\sqrt{6})$$ 625.1 625.1-g $$\bigl[0$$ , $$-a$$ , $$1$$ , $$2$$ , $$-63 a - 154\bigr]$$
625.1-g2 $$\Q(\sqrt{6})$$ 625.1 625.1-g $$\bigl[0$$ , $$-a$$ , $$a + 1$$ , $$2$$ , $$4 a - 13\bigr]$$
625.1-i1 $$\Q(\sqrt{6})$$ 625.1 625.1-i $$\bigl[0$$ , $$-a$$ , $$1$$ , $$2$$ , $$-3 a + 6\bigr]$$
625.1-i2 $$\Q(\sqrt{6})$$ 625.1 625.1-i $$\bigl[0$$ , $$-a$$ , $$a + 1$$ , $$2$$ , $$109 a + 267\bigr]$$
729.1-b1 $$\Q(\sqrt{6})$$ 729.1 729.1-b $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-a - 3\bigr]$$
729.1-b2 $$\Q(\sqrt{6})$$ 729.1 729.1-b $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$-5 a + 12\bigr]$$