## Refine search

*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 (24 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
28.2-a1 $$\Q(\sqrt{-7})$$ 28.2 28.2-a $$\bigl[1$$ , $$0$$ , $$1$$ , $$-171$$ , $$-874\bigr]$$
896.2-b1 $$\Q(\sqrt{-7})$$ 896.2 896.2-b $$\bigl[a$$ , $$1$$ , $$a$$ , $$-853 a - 340$$ , $$-14854 a + 5243\bigr]$$
896.7-b1 $$\Q(\sqrt{-7})$$ 896.7 896.7-b $$\bigl[a + 1$$ , $$-a + 1$$ , $$a + 1$$ , $$851 a - 1193$$ , $$14853 a - 9611\bigr]$$
1568.2-b1 $$\Q(\sqrt{-7})$$ 1568.2 1568.2-b $$\bigl[a$$ , $$-a$$ , $$a$$ , $$-3581 a + 2388$$ , $$55046 a - 134557\bigr]$$
1568.5-b1 $$\Q(\sqrt{-7})$$ 1568.5 1568.5-b $$\bigl[a + 1$$ , $$-1$$ , $$a + 1$$ , $$3579 a - 1193$$ , $$-55047 a - 79511\bigr]$$
1792.5-b1 $$\Q(\sqrt{-7})$$ 1792.5 1792.5-b $$\bigl[0$$ , $$-1$$ , $$0$$ , $$-2728$$ , $$55920\bigr]$$
2268.2-b1 $$\Q(\sqrt{-7})$$ 2268.2 2268.2-b $$\bigl[1$$ , $$-1$$ , $$1$$ , $$-1535$$ , $$23591\bigr]$$
6272.2-b1 $$\Q(\sqrt{-7})$$ 6272.2 6272.2-b $$\bigl[a$$ , $$a - 1$$ , $$a$$ , $$5967 a + 2388$$ , $$30581 a - 379207\bigr]$$
6272.7-b1 $$\Q(\sqrt{-7})$$ 6272.7 6272.7-b $$\bigl[a + 1$$ , $$a$$ , $$a + 1$$ , $$-5969 a + 8354$$ , $$-28195 a - 336690\bigr]$$
7168.5-h1 $$\Q(\sqrt{-7})$$ 7168.5 7168.5-h $$\bigl[0$$ , $$a$$ , $$0$$ , $$-2728 a + 5456$$ , $$55920 a + 111840\bigr]$$
7168.7-h1 $$\Q(\sqrt{-7})$$ 7168.7 7168.7-h $$\bigl[0$$ , $$-a + 1$$ , $$0$$ , $$2728 a + 2728$$ , $$-55920 a + 167760\bigr]$$
17500.2-f1 $$\Q(\sqrt{-7})$$ 17500.2 17500.2-f $$\bigl[1$$ , $$1$$ , $$1$$ , $$-4263$$ , $$-109219\bigr]$$
23548.4-c1 $$\Q(\sqrt{-7})$$ 23548.4 23548.4-c $$\bigl[1$$ , $$-a$$ , $$1$$ , $$-1364 a + 5285$$ , $$-87375 a - 28834\bigr]$$
23548.6-e1 $$\Q(\sqrt{-7})$$ 23548.6 23548.6-e $$\bigl[1$$ , $$a - 1$$ , $$1$$ , $$1364 a + 3921$$ , $$87375 a - 116209\bigr]$$
23716.4-g1 $$\Q(\sqrt{-7})$$ 23716.4 23716.4-g $$\bigl[1$$ , $$a + 1$$ , $$1$$ , $$-9548 a + 1193$$ , $$-415905 a + 422021\bigr]$$
23716.6-e1 $$\Q(\sqrt{-7})$$ 23716.6 23716.6-e $$\bigl[1$$ , $$-a - 1$$ , $$0$$ , $$9550 a - 8356$$ , $$406356 a + 14472\bigr]$$
27104.13-c1 $$\Q(\sqrt{-7})$$ 27104.13 27104.13-c $$\bigl[a + 1$$ , $$-a - 1$$ , $$0$$ , $$2217 a - 8014$$ , $$107002 a - 256732\bigr]$$
27104.15-j1 $$\Q(\sqrt{-7})$$ 27104.15 27104.15-j $$\bigl[a + 1$$ , $$a + 1$$ , $$a + 1$$ , $$853 a + 6990$$ , $$-180013 a + 149453\bigr]$$
27104.4-j1 $$\Q(\sqrt{-7})$$ 27104.4 27104.4-j $$\bigl[a$$ , $$a$$ , $$a$$ , $$-853 a + 7844$$ , $$187856 a - 36697\bigr]$$
27104.6-c1 $$\Q(\sqrt{-7})$$ 27104.6 27104.6-c $$\bigl[a$$ , $$-1$$ , $$0$$ , $$-2217 a - 5797$$ , $$-107002 a - 149730\bigr]$$
28672.7-e1 $$\Q(\sqrt{-7})$$ 28672.7 28672.7-e $$\bigl[0$$ , $$1$$ , $$0$$ , $$-10913$$ , $$436447\bigr]$$
28672.7-o1 $$\Q(\sqrt{-7})$$ 28672.7 28672.7-o $$\bigl[0$$ , $$-1$$ , $$0$$ , $$-10913$$ , $$-436447\bigr]$$
38332.4-c1 $$\Q(\sqrt{-7})$$ 38332.4 38332.4-c $$\bigl[1$$ , $$-a + 1$$ , $$1$$ , $$4092 a + 1193$$ , $$-3495 a + 198341\bigr]$$
38332.6-c1 $$\Q(\sqrt{-7})$$ 38332.6 38332.6-c $$\bigl[1$$ , $$a$$ , $$1$$ , $$-4092 a + 5285$$ , $$3495 a + 194846\bigr]$$