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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 (32 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
30.1-a1 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-11$$ , $$51\bigr]$$
30.1-a2 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$4$$ , $$0\bigr]$$
30.1-a3 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-451$$ , $$91\bigr]$$
30.1-a4 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-66$$ , $$126\bigr]$$
30.1-a5 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-16$$ , $$-44\bigr]$$
30.1-a6 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-331$$ , $$2035\bigr]$$
30.1-a7 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-286$$ , $$-2150\bigr]$$
30.1-a8 $$\Q(\sqrt{15})$$ 30.1 30.1-a $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-5331$$ , $$145035\bigr]$$
30.1-b1 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-14$$ , $$-64\bigr]$$
30.1-b2 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$1$$ , $$2\bigr]$$
30.1-b3 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-454$$ , $$-544\bigr]$$
30.1-b4 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-69$$ , $$-194\bigr]$$
30.1-b5 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-19$$ , $$26\bigr]$$
30.1-b6 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-334$$ , $$-2368\bigr]$$
30.1-b7 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-289$$ , $$1862\bigr]$$
30.1-b8 $$\Q(\sqrt{15})$$ 30.1 30.1-b $$\bigl[1$$ , $$0$$ , $$1$$ , $$-5334$$ , $$-150368\bigr]$$
30.1-c1 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-432 a - 1675$$ , $$-32562 a - 126115\bigr]$$
30.1-c2 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$48 a + 185$$ , $$1182 a + 4577\bigr]$$
30.1-c3 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-14512 a - 56235$$ , $$-288562 a - 1117635\bigr]$$
30.1-c4 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-2192 a - 8495$$ , $$-99842 a - 386695\bigr]$$
30.1-c5 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-592 a - 2295$$ , $$12638 a + 48945\bigr]$$
30.1-c6 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-10672 a - 41355$$ , $$-1204018 a - 4663203\bigr]$$
30.1-c7 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-9232 a - 35775$$ , $$929342 a + 3599337\bigr]$$
30.1-c8 $$\Q(\sqrt{15})$$ 30.1 30.1-c $$\bigl[a + 1$$ , $$1$$ , $$a + 1$$ , $$-170672 a - 661355$$ , $$-75956018 a - 294179203\bigr]$$
30.1-d1 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-434 a - 1670$$ , $$31264 a + 121092\bigr]$$
30.1-d2 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$46 a + 190$$ , $$-1040 a - 4020\bigr]$$
30.1-d3 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-14514 a - 56230$$ , $$245024 a + 948932\bigr]$$
30.1-d4 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-2194 a - 8490$$ , $$93264 a + 361212\bigr]$$
30.1-d5 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-594 a - 2290$$ , $$-14416 a - 55828\bigr]$$
30.1-d6 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-10674 a - 41350$$ , $$1172000 a + 4539140\bigr]$$
30.1-d7 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-9234 a - 35770$$ , $$-957040 a - 3706660\bigr]$$
30.1-d8 $$\Q(\sqrt{15})$$ 30.1 30.1-d $$\bigl[a + 1$$ , $$-a$$ , $$0$$ , $$-170674 a - 661350$$ , $$75444000 a + 292195140\bigr]$$