## 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 (1-50 of 192 matches)

Label Base field Conductor Isogeny class Weierstrass coefficients
112896.2-a1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$-69 a - 120$$ , $$-504 a - 446\bigr]$$
112896.2-a2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$-189 a + 120$$ , $$504 a - 950\bigr]$$
112896.2-a3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$-9 a$$ , $$-26\bigr]$$
112896.2-a4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-a $$\bigl[0$$ , $$0$$ , $$0$$ , $$6 a$$ , $$-5\bigr]$$
112896.2-b1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-b $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-310 a - 193$$ , $$3157 a + 287\bigr]$$
112896.2-b2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-b $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$830 a - 3493$$ , $$28801 a - 81469\bigr]$$
112896.2-b3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-b $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-250 a - 253$$ , $$3961 a - 901\bigr]$$
112896.2-b4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-b $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-370 a + 2027$$ , $$29617 a + 5555\bigr]$$
112896.2-c1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-c $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$57 a - 339$$ , $$-441 a + 2772\bigr]$$
112896.2-c2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-c $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-3 a + 21$$ , $$-45 a\bigr]$$
112896.2-c3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-c $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-63 a + 21$$ , $$-201 a + 204\bigr]$$
112896.2-c4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-c $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-1143 a + 381$$ , $$-11865 a + 11652\bigr]$$
112896.2-d1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-366 a + 1263$$ , $$-15561 a + 1341\bigr]$$
112896.2-d2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$54 a + 3$$ , $$-525 a - 255\bigr]$$
112896.2-d3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-111 a - 87$$ , $$819 a\bigr]$$
112896.2-d4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-21 a - 42$$ , $$-54 a - 90\bigr]$$
112896.2-d5 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$1674 a - 537$$ , $$-12513 a - 12891\bigr]$$
112896.2-d6 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-d $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-336 a - 672$$ , $$-5220 a - 6012\bigr]$$
112896.2-e1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-e $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-1008 a + 672$$ , $$5220 a - 11232\bigr]$$
112896.2-e2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-e $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$57 a - 3$$ , $$525 a - 780\bigr]$$
112896.2-e3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-e $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-198 a + 87$$ , $$-819 a + 819\bigr]$$
112896.2-e4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-e $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-63 a + 42$$ , $$54 a - 144\bigr]$$
112896.2-e5 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-e $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$897 a - 1263$$ , $$15561 a - 14220\bigr]$$
112896.2-e6 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-e $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$1137 a + 537$$ , $$12513 a - 25404\bigr]$$
112896.2-f1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-261 a + 4872$$ , $$-144984 a + 63506\bigr]$$
112896.2-f2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-189 a + 408$$ , $$9912 a - 6886\bigr]$$
112896.2-f3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$219 a - 408$$ , $$-9912 a + 3026\bigr]$$
112896.2-f4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$51 a - 72$$ , $$-168 a + 170\bigr]$$
112896.2-f5 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-21 a + 312$$ , $$-2184 a + 1010\bigr]$$
112896.2-f6 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$-21 a + 72$$ , $$168 a + 2\bigr]$$
112896.2-f7 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$291 a - 312$$ , $$2184 a - 1174\bigr]$$
112896.2-f8 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-f $$\bigl[0$$ , $$0$$ , $$0$$ , $$4611 a - 4872$$ , $$144984 a - 81478\bigr]$$
112896.2-g1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-g $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$28 a - 35$$ , $$82 a - 81\bigr]$$
112896.2-g2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-g $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-167 a - 335$$ , $$1777 a + 2124\bigr]$$
112896.2-g3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-g $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$13 a - 35$$ , $$121 a - 48\bigr]$$
112896.2-g4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-g $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-527 a - 95$$ , $$-4151 a + 7476\bigr]$$
112896.2-g5 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-g $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-47 a + 265$$ , $$1441 a - 348\bigr]$$
112896.2-g6 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-g $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-2687 a - 5375$$ , $$124249 a + 137700\bigr]$$
112896.2-h1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-h $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$36 a - 27$$ , $$-90 a + 36\bigr]$$
112896.2-h2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-h $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$336 a + 168$$ , $$-2280 a + 4236\bigr]$$
112896.2-h3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-h $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$36 a - 12$$ , $$-144 a + 108\bigr]$$
112896.2-h4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-h $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$96 a + 528$$ , $$3528 a + 3420\bigr]$$
112896.2-h5 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-h $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-264 a + 48$$ , $$-1224 a + 828\bigr]$$
112896.2-h6 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-h $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$5376 a + 2688$$ , $$-132312 a + 267324\bigr]$$
112896.2-i1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-i $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-503 a + 193$$ , $$-3157 a + 3444\bigr]$$
112896.2-i2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-i $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-2663 a + 3493$$ , $$-28801 a - 52668\bigr]$$
112896.2-i3 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-i $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$1657 a - 2027$$ , $$-29617 a + 35172\bigr]$$
112896.2-i4 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-i $$\bigl[0$$ , $$-a - 1$$ , $$0$$ , $$-503 a + 253$$ , $$-3961 a + 3060\bigr]$$
112896.2-j1 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-j $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$5 a + 17$$ , $$49 a - 28\bigr]$$
112896.2-j2 $$\Q(\sqrt{-3})$$ 112896.2 112896.2-j $$\bigl[0$$ , $$a + 1$$ , $$0$$ , $$-55 a - 283$$ , $$385 a + 2048\bigr]$$