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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 (20 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
256.1-a1 \(\Q(\sqrt{6}) \) 256.1 256.1-a \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 14 a + 35\) , \( -131 a - 321\bigr] \)
256.1-a2 \(\Q(\sqrt{6}) \) 256.1 256.1-a \( \bigl[0\) , \( 1\) , \( 0\) , \( -2\) , \( -2\bigr] \)
256.1-b1 \(\Q(\sqrt{6}) \) 256.1 256.1-b \( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 1\bigr] \)
256.1-b2 \(\Q(\sqrt{6}) \) 256.1 256.1-b \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 46 a - 112\) , \( -196 a + 480\bigr] \)
256.1-c1 \(\Q(\sqrt{6}) \) 256.1 256.1-c \( \bigl[0\) , \( a\) , \( 0\) , \( 2\) , \( -a - 3\bigr] \)
256.1-c2 \(\Q(\sqrt{6}) \) 256.1 256.1-c \( \bigl[0\) , \( a\) , \( 0\) , \( 2\) , \( -a + 3\bigr] \)
256.1-c3 \(\Q(\sqrt{6}) \) 256.1 256.1-c \( \bigl[0\) , \( a\) , \( 0\) , \( -10 a - 23\) , \( -35 a - 86\bigr] \)
256.1-c4 \(\Q(\sqrt{6}) \) 256.1 256.1-c \( \bigl[0\) , \( a\) , \( 0\) , \( 10 a - 23\) , \( -35 a + 86\bigr] \)
256.1-d1 \(\Q(\sqrt{6}) \) 256.1 256.1-d \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a - 5\) , \( 0\bigr] \)
256.1-d2 \(\Q(\sqrt{6}) \) 256.1 256.1-d \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a + 5\) , \( 0\bigr] \)
256.1-e1 \(\Q(\sqrt{6}) \) 256.1 256.1-e \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a - 5\) , \( 0\bigr] \)
256.1-e2 \(\Q(\sqrt{6}) \) 256.1 256.1-e \( \bigl[0\) , \( 0\) , \( 0\) , \( 2 a + 5\) , \( 0\bigr] \)
256.1-f1 \(\Q(\sqrt{6}) \) 256.1 256.1-f \( \bigl[0\) , \( -a\) , \( 0\) , \( 2\) , \( a - 3\bigr] \)
256.1-f2 \(\Q(\sqrt{6}) \) 256.1 256.1-f \( \bigl[0\) , \( -a\) , \( 0\) , \( 2\) , \( a + 3\bigr] \)
256.1-f3 \(\Q(\sqrt{6}) \) 256.1 256.1-f \( \bigl[0\) , \( -a\) , \( 0\) , \( -10 a - 23\) , \( 35 a + 86\bigr] \)
256.1-f4 \(\Q(\sqrt{6}) \) 256.1 256.1-f \( \bigl[0\) , \( -a\) , \( 0\) , \( 10 a - 23\) , \( 35 a - 86\bigr] \)
256.1-g1 \(\Q(\sqrt{6}) \) 256.1 256.1-g \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 14 a + 35\) , \( 131 a + 321\bigr] \)
256.1-g2 \(\Q(\sqrt{6}) \) 256.1 256.1-g \( \bigl[0\) , \( -1\) , \( 0\) , \( -2\) , \( 2\bigr] \)
256.1-h1 \(\Q(\sqrt{6}) \) 256.1 256.1-h \( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( -1\bigr] \)
256.1-h2 \(\Q(\sqrt{6}) \) 256.1 256.1-h \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 46 a - 112\) , \( 196 a - 480\bigr] \)
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