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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 (20 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
21609.3-CMd1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-CMd $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$-4202\bigr]$$
21609.3-CMc1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-CMc $$\bigl[0$$ , $$0$$ , $$a + 1$$ , $$0$$ , $$-6 a + 14\bigr]$$
21609.3-CMb1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-CMb $$\bigl[0$$ , $$0$$ , $$1$$ , $$0$$ , $$12\bigr]$$
21609.3-CMa1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-CMa $$\bigl[0$$ , $$0$$ , $$a$$ , $$0$$ , $$5 a + 9\bigr]$$
21609.3-a1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a$$ , $$-14122 a - 799$$ , $$-780754 a + 343883\bigr]$$
21609.3-a2 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a + 1$$ , $$-672 a - 579$$ , $$52809 a - 36737\bigr]$$
21609.3-a3 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a$$ , $$578 a + 671$$ , $$-52810 a + 16073\bigr]$$
21609.3-a4 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a + 1$$ , $$63 a + 156$$ , $$-846 a + 895\bigr]$$
21609.3-a5 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a$$ , $$-892 a - 64$$ , $$-11944 a + 5636\bigr]$$
21609.3-a6 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a$$ , $$-157 a - 64$$ , $$845 a + 50\bigr]$$
21609.3-a7 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a + 1$$ , $$63 a + 891$$ , $$11943 a - 6308\bigr]$$
21609.3-a8 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-a $$\bigl[a + 1$$ , $$0$$ , $$a + 1$$ , $$798 a + 14121$$ , $$780753 a - 436871\bigr]$$
21609.3-b1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-b $$\bigl[0$$ , $$a + 1$$ , $$1$$ , $$-8210 a - 13685$$ , $$-646946 a - 543199\bigr]$$
21609.3-b2 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-b $$\bigl[0$$ , $$a + 1$$ , $$1$$ , $$-20 a - 35$$ , $$64 a + 71\bigr]$$
21609.3-c1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-c $$\bigl[0$$ , $$-a - 1$$ , $$1$$ , $$13686 a + 8211$$ , $$625050 a - 1176460\bigr]$$
21609.3-c2 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-c $$\bigl[0$$ , $$-a - 1$$ , $$1$$ , $$36 a + 21$$ , $$-120 a + 170\bigr]$$
21609.3-d1 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-d $$\bigl[1$$ , $$-1$$ , $$a$$ , $$-53 a + 33$$ , $$-79 a + 162\bigr]$$
21609.3-d2 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-d $$\bigl[a$$ , $$-a + 1$$ , $$a + 1$$ , $$-34 a + 53$$ , $$78 a + 83\bigr]$$
21609.3-d3 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-d $$\bigl[a$$ , $$-a + 1$$ , $$a + 1$$ , $$-559 a + 893$$ , $$5013 a + 4535\bigr]$$
21609.3-d4 $$\Q(\sqrt{-3})$$ 21609.3 21609.3-d $$\bigl[1$$ , $$-1$$ , $$a$$ , $$-893 a + 558$$ , $$-5014 a + 9549\bigr]$$