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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 (8 matches)

8.2-a1 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$-a - 1$$ , $$a^{2} + a - 2$$ , $$2190935255 a^{2} - 1159698357 a - 9309591809$$ , $$-81630791102268 a^{2} + 43208531179462 a + 346860703632228\bigr]$$
8.2-a2 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$-a - 1$$ , $$0$$ , $$-272 a^{2} + 144 a + 1157$$ , $$2826 a^{2} - 1496 a - 12008\bigr]$$
8.2-a3 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$a + 1$$ , $$a^{2} + a - 2$$ , $$-91 a^{2} + 363 a - 351$$ , $$-1638 a^{2} + 5248 a - 3310\bigr]$$
8.2-a4 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$a + 1$$ , $$a^{2} + a - 2$$ , $$-6 a^{2} + 23 a - 21$$ , $$-25 a^{2} + 80 a - 56\bigr]$$
8.2-a5 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$a + 1$$ , $$a^{2} + a - 2$$ , $$-a^{2} + 3 a - 11$$ , $$-72 a^{2} + 200 a - 106\bigr]$$
8.2-a6 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$a + 1$$ , $$a^{2} + a - 2$$ , $$-a^{2} + 3 a - 1$$ , $$-2 a\bigr]$$
8.2-a7 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$-a^{2} + a + 3$$ , $$a$$ , $$14246 a^{2} - 7541 a - 60535$$ , $$-1307660 a^{2} + 692166 a + 5556430\bigr]$$
8.2-a8 3.3.316.1 8.2 8.2-a $$\bigl[a$$ , $$-a^{2} + a + 3$$ , $$a$$ , $$-2419 a^{2} + 1279 a + 10275$$ , $$-4236156 a^{2} + 2242268 a + 18000022\bigr]$$