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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 (4 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
41.2-a1 \(\Q(\zeta_{7})^+\) 41.2 41.2-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -10 a^{2} - 89 a - 140\) , \( -216 a^{2} - 736 a - 678\bigr] \)
41.2-a2 \(\Q(\zeta_{7})^+\) 41.2 41.2-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 6 a - 5\) , \( 4 a^{2} - 6 a + 2\bigr] \)
41.2-a3 \(\Q(\zeta_{7})^+\) 41.2 41.2-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( a\) , \( 0\bigr] \)
41.2-a4 \(\Q(\zeta_{7})^+\) 41.2 41.2-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -75 a^{2} - 69 a + 35\) , \( -646 a^{2} - 526 a + 340\bigr] \)
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