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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 (8 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
91.1-a1 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -1030 a^{2} + 1620 a - 484\) , \( -21769 a^{2} + 41147 a - 14213\bigr] \)
91.1-a2 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( 15 a^{2} + 5 a - 89\) , \( -89 a^{2} - 20 a + 385\bigr] \)
91.1-a3 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -4\) , \( -3 a^{2} - a + 9\bigr] \)
91.1-a4 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -15 a^{2} - 5 a + 1\) , \( -49 a^{2} - 26 a + 29\bigr] \)
91.1-a5 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( 1\) , \( 0\bigr] \)
91.1-a6 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -10 a^{2} - 20 a + 21\) , \( -90 a^{2} + 20 a + 26\bigr] \)
91.1-a7 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -260 a^{2} - 70 a + 61\) , \( -2872 a^{2} - 1452 a + 1192\bigr] \)
91.1-a8 \(\Q(\zeta_{7})^+\) 91.1 91.1-a \( \bigl[a^{2} - 2\) , \( a^{2} - 3\) , \( 0\) , \( -3410 a^{2} - 2800 a + 1566\) , \( -163347 a^{2} - 131435 a + 88489\bigr] \)
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