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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
1024.6-a1 \(\Q(\sqrt{-7}) \) 1024.6 1024.6-a \( \bigl[0\) , \( 0\) , \( 0\) , \( -1\) , \( 0\bigr] \)
1024.6-a2 \(\Q(\sqrt{-7}) \) 1024.6 1024.6-a \( \bigl[0\) , \( 0\) , \( 0\) , \( 4\) , \( 0\bigr] \)
2048.6-d1 \(\Q(\sqrt{-7}) \) 2048.6 2048.6-d \( \bigl[0\) , \( 0\) , \( 0\) , \( -a - 1\) , \( 0\bigr] \)
2048.6-d2 \(\Q(\sqrt{-7}) \) 2048.6 2048.6-d \( \bigl[0\) , \( 0\) , \( 0\) , \( -a + 2\) , \( 0\bigr] \)
2048.7-d1 \(\Q(\sqrt{-7}) \) 2048.7 2048.7-d \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 2\) , \( 0\bigr] \)
2048.7-d2 \(\Q(\sqrt{-7}) \) 2048.7 2048.7-d \( \bigl[0\) , \( 0\) , \( 0\) , \( a + 1\) , \( 0\bigr] \)
4096.7-c1 \(\Q(\sqrt{-7}) \) 4096.7 4096.7-c \( \bigl[0\) , \( 0\) , \( 0\) , \( 1\) , \( 0\bigr] \)
4096.7-c2 \(\Q(\sqrt{-7}) \) 4096.7 4096.7-c \( \bigl[0\) , \( 0\) , \( 0\) , \( -4\) , \( 0\bigr] \)
8192.6-a1 \(\Q(\sqrt{-7}) \) 8192.6 8192.6-a \( \bigl[0\) , \( 0\) , \( 0\) , \( -a - 2\) , \( 0\bigr] \)
8192.6-a2 \(\Q(\sqrt{-7}) \) 8192.6 8192.6-a \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a - 2\) , \( 0\bigr] \)
8192.6-b1 \(\Q(\sqrt{-7}) \) 8192.6 8192.6-b \( \bigl[0\) , \( 0\) , \( 0\) , \( a\) , \( 0\bigr] \)
8192.6-b2 \(\Q(\sqrt{-7}) \) 8192.6 8192.6-b \( \bigl[0\) , \( 0\) , \( 0\) , \( -4 a\) , \( 0\bigr] \)
8192.9-a1 \(\Q(\sqrt{-7}) \) 8192.9 8192.9-a \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 3\) , \( 0\bigr] \)
8192.9-a2 \(\Q(\sqrt{-7}) \) 8192.9 8192.9-a \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a\) , \( 0\bigr] \)
8192.9-b1 \(\Q(\sqrt{-7}) \) 8192.9 8192.9-b \( \bigl[0\) , \( 0\) , \( 0\) , \( -a + 1\) , \( 0\bigr] \)
8192.9-b2 \(\Q(\sqrt{-7}) \) 8192.9 8192.9-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 4 a - 4\) , \( 0\bigr] \)
16384.7-e1 \(\Q(\sqrt{-7}) \) 16384.7 16384.7-e \( \bigl[0\) , \( 0\) , \( 0\) , \( a + 2\) , \( 0\bigr] \)
16384.7-e2 \(\Q(\sqrt{-7}) \) 16384.7 16384.7-e \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a + 2\) , \( 0\bigr] \)
16384.7-f1 \(\Q(\sqrt{-7}) \) 16384.7 16384.7-f \( \bigl[0\) , \( 0\) , \( 0\) , \( -a\) , \( 0\bigr] \)
16384.7-f2 \(\Q(\sqrt{-7}) \) 16384.7 16384.7-f \( \bigl[0\) , \( 0\) , \( 0\) , \( 4 a\) , \( 0\bigr] \)
16384.9-e1 \(\Q(\sqrt{-7}) \) 16384.9 16384.9-e \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a\) , \( 0\bigr] \)
16384.9-e2 \(\Q(\sqrt{-7}) \) 16384.9 16384.9-e \( \bigl[0\) , \( 0\) , \( 0\) , \( -a + 3\) , \( 0\bigr] \)
16384.9-f1 \(\Q(\sqrt{-7}) \) 16384.9 16384.9-f \( \bigl[0\) , \( 0\) , \( 0\) , \( -4 a + 4\) , \( 0\bigr] \)
16384.9-f2 \(\Q(\sqrt{-7}) \) 16384.9 16384.9-f \( \bigl[0\) , \( 0\) , \( 0\) , \( a - 1\) , \( 0\bigr] \)
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