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*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 (12 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
64.1-a3 $$\Q(\sqrt{2})$$ 64.1 64.1-a $$\bigl[0$$ , $$a - 1$$ , $$0$$ , $$-4 a - 4$$ , $$-4 a - 6\bigr]$$
64.1-a4 $$\Q(\sqrt{2})$$ 64.1 64.1-a $$\bigl[0$$ , $$-a + 1$$ , $$0$$ , $$-4 a - 4$$ , $$4 a + 6\bigr]$$
256.1-c3 $$\Q(\sqrt{2})$$ 256.1 256.1-c $$\bigl[0$$ , $$-a$$ , $$0$$ , $$-1$$ , $$a\bigr]$$
256.1-c4 $$\Q(\sqrt{2})$$ 256.1 256.1-c $$\bigl[0$$ , $$a$$ , $$0$$ , $$-1$$ , $$-a\bigr]$$
1024.1-d3 $$\Q(\sqrt{2})$$ 1024.1 1024.1-d $$\bigl[0$$ , $$-1$$ , $$0$$ , $$-3$$ , $$-1\bigr]$$
1024.1-d4 $$\Q(\sqrt{2})$$ 1024.1 1024.1-d $$\bigl[0$$ , $$1$$ , $$0$$ , $$-3$$ , $$1\bigr]$$
1024.1-m3 $$\Q(\sqrt{2})$$ 1024.1 1024.1-m $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-6 a - 9$$ , $$-5 a - 7\bigr]$$
1024.1-m4 $$\Q(\sqrt{2})$$ 1024.1 1024.1-m $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-6 a - 9$$ , $$5 a + 7\bigr]$$
3136.2-a3 $$\Q(\sqrt{2})$$ 3136.2 3136.2-a $$\bigl[0$$ , $$-1$$ , $$0$$ , $$-10 a - 18$$ , $$-20 a - 24\bigr]$$
3136.2-a4 $$\Q(\sqrt{2})$$ 3136.2 3136.2-a $$\bigl[0$$ , $$1$$ , $$0$$ , $$-10 a - 18$$ , $$20 a + 24\bigr]$$
3136.3-a3 $$\Q(\sqrt{2})$$ 3136.3 3136.3-a $$\bigl[0$$ , $$-1$$ , $$0$$ , $$10 a - 18$$ , $$20 a - 24\bigr]$$
3136.3-a4 $$\Q(\sqrt{2})$$ 3136.3 3136.3-a $$\bigl[0$$ , $$1$$ , $$0$$ , $$10 a - 18$$ , $$-20 a + 24\bigr]$$
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