LMFDB - Elliptic curves over \(\Q(\sqrt{-3}) \) of conductor 37632.2

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Base field	Base field degree	Conductor norm	j-invariant	Base change curves

\(\Q\)-curves	Cyclic isogeny degree	Rank*	Torsion order	Torsion structure

CM	CM discriminant	Curves per isogeny class

Results (1-50 of 94 matches)

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Label	Base field	Conductor	Isogeny class	Weierstrass coefficients
37632.2-a1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -113\) , \( 516\bigr] \)
37632.2-a2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( 15 a + 67\) , \( -285 a + 183\bigr] \)
37632.2-a3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -185 a - 13\) , \( -1525 a + 1535\bigr] \)
37632.2-a4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( 185 a - 198\) , \( 1525 a + 10\bigr] \)
37632.2-a5	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( 7\) , \( 0\bigr] \)
37632.2-a6	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -28\) , \( 28\bigr] \)
37632.2-a7	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -15 a + 82\) , \( 285 a - 102\bigr] \)
37632.2-a8	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-a	\( \bigl[0\) , \( -1\) , \( 0\) , \( -1828\) , \( 30700\bigr] \)
37632.2-b1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-b	\( \bigl[0\) , \( a\) , \( 0\) , \( -a - 6\) , \( -5 a - 5\bigr] \)
37632.2-b2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-b	\( \bigl[0\) , \( a\) , \( 0\) , \( 19 a + 94\) , \( 567 a - 357\bigr] \)
37632.2-b3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-b	\( \bigl[0\) , \( a\) , \( 0\) , \( -21 a + 14\) , \( 23 a - 45\bigr] \)
37632.2-b4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-b	\( \bigl[0\) , \( a\) , \( 0\) , \( -381 a + 254\) , \( 1271 a - 2613\bigr] \)
37632.2-c1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-c	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 64 a - 168\) , \( 492 a - 824\bigr] \)
37632.2-c2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-c	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 1164 a - 888\) , \( -14220 a + 2448\bigr] \)
37632.2-c3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-c	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 84 a - 168\) , \( 324 a - 864\bigr] \)
37632.2-c4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-c	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -676 a + 552\) , \( 4116 a - 7056\bigr] \)
37632.2-d1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-d	\( \bigl[0\) , \( -1\) , \( 0\) , \( 168 a - 64\) , \( -492 a - 332\bigr] \)
37632.2-d2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-d	\( \bigl[0\) , \( -1\) , \( 0\) , \( 888 a - 1164\) , \( 14220 a - 11772\bigr] \)
37632.2-d3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-d	\( \bigl[0\) , \( -1\) , \( 0\) , \( -552 a + 676\) , \( -4116 a - 2940\bigr] \)
37632.2-d4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-d	\( \bigl[0\) , \( -1\) , \( 0\) , \( 168 a - 84\) , \( -324 a - 540\bigr] \)
37632.2-e1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-e	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -19 a + 113\) , \( -567 a + 210\bigr] \)
37632.2-e2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-e	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( a - 7\) , \( 5 a - 10\bigr] \)
37632.2-e3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-e	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 21 a - 7\) , \( -23 a - 22\bigr] \)
37632.2-e4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-e	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 381 a - 127\) , \( -1271 a - 1342\bigr] \)
37632.2-f1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( 7520 a - 2384\) , \( 119424 a + 121984\bigr] \)
37632.2-f2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( -544\) , \( 13888\bigr] \)
37632.2-f3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( 16\) , \( 0\bigr] \)
37632.2-f4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( -64\) , \( 64\bigr] \)
37632.2-f5	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( -7520 a + 5136\) , \( -119424 a + 241408\bigr] \)
37632.2-f6	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( -624\) , \( -5760\bigr] \)
37632.2-f7	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( -784\) , \( 8704\bigr] \)
37632.2-f8	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-f	\( \bigl[0\) , \( -1\) , \( 0\) , \( -12544\) , \( 544960\bigr] \)
37632.2-g1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-g	\( \bigl[0\) , \( -1\) , \( 0\) , \( 48\) , \( -48\bigr] \)
37632.2-g2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-g	\( \bigl[0\) , \( -1\) , \( 0\) , \( -12\) , \( 0\bigr] \)
37632.2-g3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-g	\( \bigl[0\) , \( -1\) , \( 0\) , \( 80 a + 488\) , \( 5312 a - 3760\bigr] \)
37632.2-g4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-g	\( \bigl[0\) , \( -1\) , \( 0\) , \( -7\) , \( 10\bigr] \)
37632.2-g5	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-g	\( \bigl[0\) , \( -1\) , \( 0\) , \( -80 a + 568\) , \( -5312 a + 1552\bigr] \)
37632.2-g6	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-g	\( \bigl[0\) , \( -1\) , \( 0\) , \( -152\) , \( -672\bigr] \)
37632.2-h1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-h	\( \bigl[0\) , \( 1\) , \( 0\) , \( -7\) , \( -52\bigr] \)
37632.2-h2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-h	\( \bigl[0\) , \( 1\) , \( 0\) , \( -392\) , \( 228\bigr] \)
37632.2-h3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-h	\( \bigl[0\) , \( 1\) , \( 0\) , \( 195 a - 37\) , \( -243 a - 727\bigr] \)
37632.2-h4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-h	\( \bigl[0\) , \( 1\) , \( 0\) , \( -195 a + 158\) , \( 243 a - 970\bigr] \)
37632.2-h5	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-h	\( \bigl[0\) , \( 1\) , \( 0\) , \( -252\) , \( -1620\bigr] \)
37632.2-h6	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-h	\( \bigl[0\) , \( 1\) , \( 0\) , \( -4032\) , \( -99900\bigr] \)
37632.2-i1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-i	\( \bigl[0\) , \( -a\) , \( 0\) , \( -64 a - 104\) , \( 492 a + 332\bigr] \)
37632.2-i2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-i	\( \bigl[0\) , \( -a\) , \( 0\) , \( -1164 a + 276\) , \( -14220 a + 11772\bigr] \)
37632.2-i3	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-i	\( \bigl[0\) , \( -a\) , \( 0\) , \( 676 a - 124\) , \( 4116 a + 2940\bigr] \)
37632.2-i4	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-i	\( \bigl[0\) , \( -a\) , \( 0\) , \( -84 a - 84\) , \( 324 a + 540\bigr] \)
37632.2-j1	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-j	\( \bigl[0\) , \( -a\) , \( 0\) , \( 299 a + 122\) , \( -1431 a + 3309\bigr] \)
37632.2-j2	\(\Q(\sqrt{-3}) \)	37632.2	37632.2-j	\( \bigl[0\) , \( -a\) , \( 0\) , \( 19 a - 18\) , \( -115 a + 145\bigr] \)

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