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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 (1-50 of 264 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
3072.1-a1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 504 a - 872\) , \( -2120 a + 3672\bigr] \)
3072.1-a2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 284 a - 492\) , \( 3672 a - 6360\bigr] \)
3072.1-a3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4544 a - 7872\) , \( 223656 a - 387384\bigr] \)
3072.1-a4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4 a - 7\) , \( 134 a - 232\bigr] \)
3072.1-b1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-b \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -48 a - 112\) , \( 1016 a + 1720\bigr] \)
3072.1-b2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-b \( \bigl[0\) , \( -1\) , \( 0\) , \( 107702 a - 186545\) , \( -25356654 a + 43919013\bigr] \)
3072.1-b3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-b \( \bigl[0\) , \( -1\) , \( 0\) , \( 6862 a - 11885\) , \( -381770 a + 661245\bigr] \)
3072.1-b4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -23148 a + 40096\) , \( -10988976 a + 19033464\bigr] \)
3072.1-b5 \(\Q(\sqrt{3}) \) 3072.1 3072.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 116 a - 200\) , \( 756 a - 1308\bigr] \)
3072.1-b6 \(\Q(\sqrt{3}) \) 3072.1 3072.1-b \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -244 a + 400\) , \( 4260 a - 7308\bigr] \)
3072.1-c1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-c \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 96 a - 160\) , \( 632 a - 1096\bigr] \)
3072.1-c2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-c \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 6 a - 10\) , \( 8 a - 16\bigr] \)
3072.1-c3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-c \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -4 a\) , \( 36 a - 60\bigr] \)
3072.1-c4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-c \( \bigl[0\) , \( 1\) , \( 0\) , \( -32 a - 56\) , \( -142 a - 246\bigr] \)
3072.1-d1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-d \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a + 13\) , \( 23 a - 39\bigr] \)
3072.1-d2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-d \( \bigl[0\) , \( 1\) , \( 0\) , \( -3\) , \( -3\bigr] \)
3072.1-d3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-d \( \bigl[0\) , \( 1\) , \( 0\) , \( 10 a - 33\) , \( 50 a - 69\bigr] \)
3072.1-d4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-d \( \bigl[0\) , \( 1\) , \( 0\) , \( -10 a - 33\) , \( -50 a - 69\bigr] \)
3072.1-e1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 430252 a - 745216\) , \( 202069724 a - 349995028\bigr] \)
3072.1-e2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -32 a + 64\) , \( -1080 a + 1800\bigr] \)
3072.1-e3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( 1\) , \( 0\) , \( -54060 a + 93635\) , \( 11124426 a - 19268071\bigr] \)
3072.1-e4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1812 a - 3136\) , \( 40796 a - 70660\bigr] \)
3072.1-e5 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 48 a - 96\) , \( -216 a + 360\bigr] \)
3072.1-e6 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 26892 a - 46576\) , \( 3152252 a - 5459860\bigr] \)
3072.1-e7 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 768 a - 1536\) , \( -16632 a + 27720\bigr] \)
3072.1-e8 \(\Q(\sqrt{3}) \) 3072.1 3072.1-e \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 24812 a - 42976\) , \( 3661724 a - 6342292\bigr] \)
3072.1-f1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -1\) , \( 0\) , \( 30890 a - 53505\) , \( 3879118 a - 6718827\bigr] \)
3072.1-f2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 32 a + 64\) , \( -1080 a - 1800\bigr] \)
3072.1-f3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -3882 a + 6724\) , \( 217892 a - 377400\bigr] \)
3072.1-f4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -1\) , \( 0\) , \( 130 a - 225\) , \( 750 a - 1299\bigr] \)
3072.1-f5 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -48 a - 96\) , \( -216 a - 360\bigr] \)
3072.1-f6 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -1\) , \( 0\) , \( 1930 a - 3345\) , \( 60126 a - 104139\bigr] \)
3072.1-f7 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -768 a - 1536\) , \( -16632 a - 27720\bigr] \)
3072.1-f8 \(\Q(\sqrt{3}) \) 3072.1 3072.1-f \( \bigl[0\) , \( -1\) , \( 0\) , \( 1770 a - 3105\) , \( 69998 a - 121131\bigr] \)
3072.1-g1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-g \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -1\) , \( -4 a - 2\bigr] \)
3072.1-g2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-g \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -40 a - 56\) , \( 40 a + 72\bigr] \)
3072.1-g3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-g \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -20 a - 36\) , \( -72 a - 120\bigr] \)
3072.1-g4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-g \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -320 a - 576\) , \( -4296 a - 7464\bigr] \)
3072.1-h1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-h \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 1312 a - 2272\) , \( 32872 a - 56936\bigr] \)
3072.1-h2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-h \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 82 a - 142\) , \( 448 a - 776\bigr] \)
3072.1-h3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-h \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -28 a + 48\) , \( 1836 a - 3180\bigr] \)
3072.1-h4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 9\) , \( -3 a + 3\bigr] \)
3072.1-i1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-i \( \bigl[0\) , \( 1\) , \( 0\) , \( 122 a - 225\) , \( 1074 a - 1797\bigr] \)
3072.1-i2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-i \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1500096 a - 2598240\) , \( -1316558104 a + 2280345528\bigr] \)
3072.1-i3 \(\Q(\sqrt{3}) \) 3072.1 3072.1-i \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 95576 a - 165540\) , \( -19749120 a + 34206480\bigr] \)
3072.1-i4 \(\Q(\sqrt{3}) \) 3072.1 3072.1-i \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -322420 a + 558448\) , \( -571215336 a + 989373984\bigr] \)
3072.1-i5 \(\Q(\sqrt{3}) \) 3072.1 3072.1-i \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 1612 a - 2792\) , \( 39276 a - 68028\bigr] \)
3072.1-i6 \(\Q(\sqrt{3}) \) 3072.1 3072.1-i \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -3308 a + 5728\) , \( 220380 a - 381708\bigr] \)
3072.1-j1 \(\Q(\sqrt{3}) \) 3072.1 3072.1-j \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 40 a - 56\) , \( -40 a + 72\bigr] \)
3072.1-j2 \(\Q(\sqrt{3}) \) 3072.1 3072.1-j \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 20 a - 36\) , \( 72 a - 120\bigr] \)
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