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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 (12 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
56.1-a1 \(\Q(\sqrt{7}) \) 56.1 56.1-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 14 a + 36\) , \( 221 a + 584\bigr] \)
56.1-a2 \(\Q(\sqrt{7}) \) 56.1 56.1-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -706 a - 1869\) , \( -14839 a - 39261\bigr] \)
56.1-a3 \(\Q(\sqrt{7}) \) 56.1 56.1-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -226 a - 599\) , \( 2341 a + 6193\bigr] \)
56.1-a4 \(\Q(\sqrt{7}) \) 56.1 56.1-a \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -3586 a - 9489\) , \( 181961 a + 481423\bigr] \)
56.1-b1 \(\Q(\sqrt{7}) \) 56.1 56.1-b \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -3 a - 5\) , \( 384 a + 1015\bigr] \)
56.1-b2 \(\Q(\sqrt{7}) \) 56.1 56.1-b \( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 484 a - 1279\) , \( -9793 a + 25911\bigr] \)
56.1-c1 \(\Q(\sqrt{7}) \) 56.1 56.1-c \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -2 a - 4\) , \( -396 a - 1048\bigr] \)
56.1-c2 \(\Q(\sqrt{7}) \) 56.1 56.1-c \( \bigl[a + 1\) , \( a\) , \( a + 1\) , \( 485 a - 1278\) , \( 8998 a - 23802\bigr] \)
56.1-d1 \(\Q(\sqrt{7}) \) 56.1 56.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 15 a + 40\) , \( -161 a - 426\bigr] \)
56.1-d2 \(\Q(\sqrt{7}) \) 56.1 56.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -705 a - 1865\) , \( 11554 a + 30569\bigr] \)
56.1-d3 \(\Q(\sqrt{7}) \) 56.1 56.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -225 a - 595\) , \( -3396 a - 8985\bigr] \)
56.1-d4 \(\Q(\sqrt{7}) \) 56.1 56.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -3585 a - 9485\) , \( -198626 a - 525515\bigr] \)
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