## 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 (34 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
32.1-a3 $$\Q(\sqrt{2})$$ 32.1 32.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$1$$ , $$0\bigr]$$
32.1-a4 $$\Q(\sqrt{2})$$ 32.1 32.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$-1$$ , $$0\bigr]$$
256.1-a3 $$\Q(\sqrt{2})$$ 256.1 256.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$2 a + 3$$ , $$0\bigr]$$
256.1-a4 $$\Q(\sqrt{2})$$ 256.1 256.1-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$-2 a - 3$$ , $$0\bigr]$$
1024.1-f3 $$\Q(\sqrt{2})$$ 1024.1 1024.1-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 a + 6$$ , $$0\bigr]$$
1024.1-f4 $$\Q(\sqrt{2})$$ 1024.1 1024.1-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 a - 6$$ , $$0\bigr]$$
1024.1-k3 $$\Q(\sqrt{2})$$ 1024.1 1024.1-k $$\bigl[0$$ , $$0$$ , $$0$$ , $$2$$ , $$0\bigr]$$
1024.1-k4 $$\Q(\sqrt{2})$$ 1024.1 1024.1-k $$\bigl[0$$ , $$0$$ , $$0$$ , $$-2$$ , $$0\bigr]$$
1568.2-c1 $$\Q(\sqrt{2})$$ 1568.2 1568.2-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$-16 a - 13$$ , $$0\bigr]$$
1568.2-c2 $$\Q(\sqrt{2})$$ 1568.2 1568.2-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$16 a + 13$$ , $$0\bigr]$$
1568.2-g1 $$\Q(\sqrt{2})$$ 1568.2 1568.2-g $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 a + 5$$ , $$0\bigr]$$
1568.2-g2 $$\Q(\sqrt{2})$$ 1568.2 1568.2-g $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 a - 5$$ , $$0\bigr]$$
1568.2-i3 $$\Q(\sqrt{2})$$ 1568.2 1568.2-i $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 a + 9$$ , $$0\bigr]$$
1568.2-i4 $$\Q(\sqrt{2})$$ 1568.2 1568.2-i $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 a - 9$$ , $$0\bigr]$$
1568.3-c1 $$\Q(\sqrt{2})$$ 1568.3 1568.3-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$16 a - 13$$ , $$0\bigr]$$
1568.3-c2 $$\Q(\sqrt{2})$$ 1568.3 1568.3-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$-16 a + 13$$ , $$0\bigr]$$
1568.3-g1 $$\Q(\sqrt{2})$$ 1568.3 1568.3-g $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 a + 5$$ , $$0\bigr]$$
1568.3-g2 $$\Q(\sqrt{2})$$ 1568.3 1568.3-g $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 a - 5$$ , $$0\bigr]$$
1568.3-i3 $$\Q(\sqrt{2})$$ 1568.3 1568.3-i $$\bigl[0$$ , $$0$$ , $$0$$ , $$4 a + 9$$ , $$0\bigr]$$
1568.3-i4 $$\Q(\sqrt{2})$$ 1568.3 1568.3-i $$\bigl[0$$ , $$0$$ , $$0$$ , $$-4 a - 9$$ , $$0\bigr]$$
2592.1-c1 $$\Q(\sqrt{2})$$ 2592.1 2592.1-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$-27$$ , $$0\bigr]$$
2592.1-c2 $$\Q(\sqrt{2})$$ 2592.1 2592.1-c $$\bigl[0$$ , $$0$$ , $$0$$ , $$27$$ , $$0\bigr]$$
2592.1-d3 $$\Q(\sqrt{2})$$ 2592.1 2592.1-d $$\bigl[0$$ , $$0$$ , $$0$$ , $$9$$ , $$0\bigr]$$
2592.1-d4 $$\Q(\sqrt{2})$$ 2592.1 2592.1-d $$\bigl[0$$ , $$0$$ , $$0$$ , $$-9$$ , $$0\bigr]$$
2592.1-f1 $$\Q(\sqrt{2})$$ 2592.1 2592.1-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-3$$ , $$0\bigr]$$
2592.1-f2 $$\Q(\sqrt{2})$$ 2592.1 2592.1-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$3$$ , $$0\bigr]$$
4096.1-e1 $$\Q(\sqrt{2})$$ 4096.1 4096.1-e $$\bigl[0$$ , $$0$$ , $$0$$ , $$2 a + 2$$ , $$0\bigr]$$
4096.1-e2 $$\Q(\sqrt{2})$$ 4096.1 4096.1-e $$\bigl[0$$ , $$0$$ , $$0$$ , $$-2 a - 2$$ , $$0\bigr]$$
4096.1-f1 $$\Q(\sqrt{2})$$ 4096.1 4096.1-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$a - 1$$ , $$0\bigr]$$
4096.1-f2 $$\Q(\sqrt{2})$$ 4096.1 4096.1-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-a + 1$$ , $$0\bigr]$$
4096.1-g1 $$\Q(\sqrt{2})$$ 4096.1 4096.1-g $$\bigl[0$$ , $$0$$ , $$0$$ , $$-2 a + 2$$ , $$0\bigr]$$
4096.1-g2 $$\Q(\sqrt{2})$$ 4096.1 4096.1-g $$\bigl[0$$ , $$0$$ , $$0$$ , $$2 a - 2$$ , $$0\bigr]$$
4096.1-h1 $$\Q(\sqrt{2})$$ 4096.1 4096.1-h $$\bigl[0$$ , $$0$$ , $$0$$ , $$-a - 1$$ , $$0\bigr]$$
4096.1-h2 $$\Q(\sqrt{2})$$ 4096.1 4096.1-h $$\bigl[0$$ , $$0$$ , $$0$$ , $$a + 1$$ , $$0\bigr]$$