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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 104 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
1792.1-a1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-a \( \bigl[0\) , \( -1\) , \( 0\) , \( -6 a + 17\) , \( 0\bigr] \)
1792.1-a2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-a \( \bigl[0\) , \( -1\) , \( 0\) , \( 24 a - 68\) , \( -24 a + 68\bigr] \)
1792.1-b1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 5 a + 9\) , \( 48 a + 86\bigr] \)
1792.1-b2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 295 a - 826\) , \( 3312 a - 9246\bigr] \)
1792.1-b3 \(\Q(\sqrt{21}) \) 1792.1 1792.1-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 95 a - 266\) , \( -720 a + 2010\bigr] \)
1792.1-b4 \(\Q(\sqrt{21}) \) 1792.1 1792.1-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 1495 a - 4186\) , \( -47760 a + 133330\bigr] \)
1792.1-c1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-c \( \bigl[0\) , \( -1\) , \( 0\) , \( 9 a - 36\) , \( 29 a - 92\bigr] \)
1792.1-c2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-c \( \bigl[0\) , \( -1\) , \( 0\) , \( 149 a - 596\) , \( 1877 a - 6112\bigr] \)
1792.1-d1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( -2728\) , \( 55920\bigr] \)
1792.1-d2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( -8\) , \( -16\bigr] \)
1792.1-d3 \(\Q(\sqrt{21}) \) 1792.1 1792.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( 72\) , \( 368\bigr] \)
1792.1-d4 \(\Q(\sqrt{21}) \) 1792.1 1792.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( -568\) , \( 4464\bigr] \)
1792.1-d5 \(\Q(\sqrt{21}) \) 1792.1 1792.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( -168\) , \( -784\bigr] \)
1792.1-d6 \(\Q(\sqrt{21}) \) 1792.1 1792.1-d \( \bigl[0\) , \( -1\) , \( 0\) , \( -43688\) , \( 3529328\bigr] \)
1792.1-e1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-e \( \bigl[0\) , \( 1\) , \( 0\) , \( -6 a + 17\) , \( 0\bigr] \)
1792.1-e2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-e \( \bigl[0\) , \( 1\) , \( 0\) , \( 24 a - 68\) , \( 24 a - 68\bigr] \)
1792.1-f1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-f \( \bigl[0\) , \( -1\) , \( 0\) , \( 6 a + 11\) , \( 0\bigr] \)
1792.1-f2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-f \( \bigl[0\) , \( -1\) , \( 0\) , \( -24 a - 44\) , \( 24 a + 44\bigr] \)
1792.1-g1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-g \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a - 6\) , \( -4 a + 11\bigr] \)
1792.1-g2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-g \( \bigl[0\) , \( 0\) , \( 0\) , \( 617 a - 1731\) , \( -12688 a + 35410\bigr] \)
1792.1-g3 \(\Q(\sqrt{21}) \) 1792.1 1792.1-g \( \bigl[0\) , \( 0\) , \( 0\) , \( 37 a - 111\) , \( -200 a + 550\bigr] \)
1792.1-g4 \(\Q(\sqrt{21}) \) 1792.1 1792.1-g \( \bigl[0\) , \( 0\) , \( 0\) , \( 17 a - 171\) , \( -256 a + 186\bigr] \)
1792.1-h1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a + 15\) , \( a - 4\bigr] \)
1792.1-h2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-h \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -7 a - 125\) , \( -83 a - 284\bigr] \)
1792.1-i1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-i \( \bigl[0\) , \( -1\) , \( 0\) , \( -a - 3\) , \( 3 a + 5\bigr] \)
1792.1-i2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-i \( \bigl[0\) , \( -1\) , \( 0\) , \( -21 a - 63\) , \( 131 a + 193\bigr] \)
1792.1-j1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-j \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a + 15\) , \( -a + 4\bigr] \)
1792.1-j2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-j \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -7 a - 125\) , \( 83 a + 284\bigr] \)
1792.1-k1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-k \( \bigl[0\) , \( 1\) , \( 0\) , \( 9 a - 36\) , \( -29 a + 92\bigr] \)
1792.1-k2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-k \( \bigl[0\) , \( 1\) , \( 0\) , \( 149 a - 596\) , \( -1877 a + 6112\bigr] \)
1792.1-l1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-l \( \bigl[0\) , \( 1\) , \( 0\) , \( 6 a + 11\) , \( 0\bigr] \)
1792.1-l2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-l \( \bigl[0\) , \( 1\) , \( 0\) , \( -24 a - 44\) , \( -24 a - 44\bigr] \)
1792.1-m1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 4 a + 8\) , \( 16 a + 28\bigr] \)
1792.1-m2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -a - 2\) , \( 0\bigr] \)
1792.1-m3 \(\Q(\sqrt{21}) \) 1792.1 1792.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -6 a - 17\) , \( -27 a - 53\bigr] \)
1792.1-m4 \(\Q(\sqrt{21}) \) 1792.1 1792.1-m \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -31 a - 57\) , \( 111 a + 200\bigr] \)
1792.1-n1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-n \( \bigl[0\) , \( -1\) , \( 0\) , \( -9 a - 27\) , \( -29 a - 63\bigr] \)
1792.1-n2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-n \( \bigl[0\) , \( -1\) , \( 0\) , \( -149 a - 447\) , \( -1877 a - 4235\bigr] \)
1792.1-o1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-o \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a + 7\) , \( -7 a - 4\bigr] \)
1792.1-o2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-o \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 9 a - 133\) , \( -91 a + 500\bigr] \)
1792.1-p1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-p \( \bigl[0\) , \( 1\) , \( 0\) , \( -a - 3\) , \( -3 a - 5\bigr] \)
1792.1-p2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-p \( \bigl[0\) , \( 1\) , \( 0\) , \( -21 a - 63\) , \( -131 a - 193\bigr] \)
1792.1-q1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-q \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a + 7\) , \( 7 a + 4\bigr] \)
1792.1-q2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-q \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 9 a - 133\) , \( 91 a - 500\bigr] \)
1792.1-r1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-r \( \bigl[0\) , \( 1\) , \( 0\) , \( -9 a - 27\) , \( 29 a + 63\bigr] \)
1792.1-r2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-r \( \bigl[0\) , \( 1\) , \( 0\) , \( -149 a - 447\) , \( 1877 a + 4235\bigr] \)
1792.1-s1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-s \( \bigl[0\) , \( -1\) , \( 0\) , \( a - 4\) , \( -3 a + 8\bigr] \)
1792.1-s2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-s \( \bigl[0\) , \( -1\) , \( 0\) , \( 21 a - 84\) , \( -131 a + 324\bigr] \)
1792.1-t1 \(\Q(\sqrt{21}) \) 1792.1 1792.1-t \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -8 a - 12\) , \( -16 a - 28\bigr] \)
1792.1-t2 \(\Q(\sqrt{21}) \) 1792.1 1792.1-t \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -128 a - 232\) , \( -1128 a - 2020\bigr] \)
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