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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 (23 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
72.2-a2 $$\Q(\sqrt{-2})$$ 72.2 72.2-a $$\bigl[0$$ , $$-1$$ , $$0$$ , $$1$$ , $$0\bigr]$$
144.2-a2 $$\Q(\sqrt{-2})$$ 144.2 144.2-a $$\bigl[0$$ , $$1$$ , $$0$$ , $$1$$ , $$0\bigr]$$
648.3-a2 $$\Q(\sqrt{-2})$$ 648.3 648.3-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$6$$ , $$-7\bigr]$$
1296.3-b2 $$\Q(\sqrt{-2})$$ 1296.3 1296.3-b $$\bigl[0$$ , $$0$$ , $$0$$ , $$6$$ , $$7\bigr]$$
6912.2-a2 $$\Q(\sqrt{-2})$$ 6912.2 6912.2-a $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$2 a - 1$$ , $$0\bigr]$$
6912.2-n2 $$\Q(\sqrt{-2})$$ 6912.2 6912.2-n $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$2 a - 1$$ , $$0\bigr]$$
6912.3-a2 $$\Q(\sqrt{-2})$$ 6912.3 6912.3-a $$\bigl[0$$ , $$-a + 1$$ , $$0$$ , $$-2 a - 1$$ , $$0\bigr]$$
6912.3-n2 $$\Q(\sqrt{-2})$$ 6912.3 6912.3-n $$\bigl[0$$ , $$a - 1$$ , $$0$$ , $$-2 a - 1$$ , $$0\bigr]$$
9216.2-m2 $$\Q(\sqrt{-2})$$ 9216.2 9216.2-m $$\bigl[0$$ , $$a$$ , $$0$$ , $$-2$$ , $$0\bigr]$$
9216.2-o2 $$\Q(\sqrt{-2})$$ 9216.2 9216.2-o $$\bigl[0$$ , $$-a$$ , $$0$$ , $$-2$$ , $$0\bigr]$$
20808.4-c2 $$\Q(\sqrt{-2})$$ 20808.4 20808.4-c $$\bigl[0$$ , $$-a$$ , $$0$$ , $$-8 a$$ , $$-10 a - 17\bigr]$$
20808.6-c2 $$\Q(\sqrt{-2})$$ 20808.6 20808.6-c $$\bigl[0$$ , $$a$$ , $$0$$ , $$8 a$$ , $$10 a - 17\bigr]$$
26136.4-d2 $$\Q(\sqrt{-2})$$ 26136.4 26136.4-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$6 a - 21$$ , $$-25 a - 14\bigr]$$
26136.6-i2 $$\Q(\sqrt{-2})$$ 26136.6 26136.6-i $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$14 a + 11$$ , $$-43 a + 4\bigr]$$
26136.7-i2 $$\Q(\sqrt{-2})$$ 26136.7 26136.7-i $$\bigl[0$$ , $$a - 1$$ , $$0$$ , $$-14 a + 11$$ , $$43 a + 4\bigr]$$
26136.9-d2 $$\Q(\sqrt{-2})$$ 26136.9 26136.9-d $$\bigl[0$$ , $$a - 1$$ , $$0$$ , $$-6 a - 21$$ , $$25 a - 14\bigr]$$
27648.2-v2 $$\Q(\sqrt{-2})$$ 27648.2 27648.2-v $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-2 a + 1$$ , $$-3 a + 1\bigr]$$
27648.2-bb2 $$\Q(\sqrt{-2})$$ 27648.2 27648.2-bb $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-2 a + 1$$ , $$3 a - 1\bigr]$$
27648.3-f2 $$\Q(\sqrt{-2})$$ 27648.3 27648.3-f $$\bigl[0$$ , $$-a + 1$$ , $$0$$ , $$2 a + 1$$ , $$3 a + 1\bigr]$$
27648.3-bp2 $$\Q(\sqrt{-2})$$ 27648.3 27648.3-bp $$\bigl[0$$ , $$a - 1$$ , $$0$$ , $$2 a + 1$$ , $$-3 a - 1\bigr]$$
41616.4-c2 $$\Q(\sqrt{-2})$$ 41616.4 41616.4-c $$\bigl[0$$ , $$a$$ , $$0$$ , $$-8 a$$ , $$10 a + 17\bigr]$$
41616.6-g2 $$\Q(\sqrt{-2})$$ 41616.6 41616.6-g $$\bigl[0$$ , $$-a$$ , $$0$$ , $$8 a$$ , $$-10 a + 17\bigr]$$
45000.2-i2 $$\Q(\sqrt{-2})$$ 45000.2 45000.2-i $$\bigl[0$$ , $$1$$ , $$0$$ , $$17$$ , $$38\bigr]$$