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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 (24 matches)

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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 \( \bigl[1\) , \( a\) , \( 1\) , \( -4092 a + 5285\) , \( 3495 a + 194846\bigr] \)
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