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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 (16 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
1296.1-a1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-a \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -a - 2\) , \( -a - 1\bigr] \)
1296.1-b1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-b \( \bigl[0\) , \( a\) , \( a + 1\) , \( 0\) , \( -a - 1\bigr] \)
1296.1-c1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-c \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -36\) , \( -72 a\bigr] \)
1296.1-c2 \(\Q(\sqrt{3}) \) 1296.1 1296.1-c \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -18\) , \( 26 a\bigr] \)
1296.1-c3 \(\Q(\sqrt{3}) \) 1296.1 1296.1-c \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -a + 16\) , \( -2 a - 1\bigr] \)
1296.1-d1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-d \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( -2 a - 1\bigr] \)
1296.1-d2 \(\Q(\sqrt{3}) \) 1296.1 1296.1-d \( \bigl[0\) , \( 0\) , \( a + 1\) , \( 0\) , \( a - 1\bigr] \)
1296.1-e1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-e \( \bigl[0\) , \( -a\) , \( 0\) , \( -39\) , \( -43 a\bigr] \)
1296.1-e2 \(\Q(\sqrt{3}) \) 1296.1 1296.1-e \( \bigl[0\) , \( a\) , \( 0\) , \( -39\) , \( 43 a\bigr] \)
1296.1-e3 \(\Q(\sqrt{3}) \) 1296.1 1296.1-e \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( -6 a\bigr] \)
1296.1-e4 \(\Q(\sqrt{3}) \) 1296.1 1296.1-e \( \bigl[0\) , \( 0\) , \( 0\) , \( 0\) , \( 6 a\bigr] \)
1296.1-f1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-f \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( -a - 38\) , \( 34 a - 1\bigr] \)
1296.1-f2 \(\Q(\sqrt{3}) \) 1296.1 1296.1-f \( \bigl[a + 1\) , \( -1\) , \( 0\) , \( -18\) , \( -26 a\bigr] \)
1296.1-f3 \(\Q(\sqrt{3}) \) 1296.1 1296.1-f \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 18\) , \( 18 a\bigr] \)
1296.1-g1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-g \( \bigl[0\) , \( -a\) , \( a + 1\) , \( 0\) , \( -1\bigr] \)
1296.1-h1 \(\Q(\sqrt{3}) \) 1296.1 1296.1-h \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -a - 2\) , \( -1\bigr] \)
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