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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
72.1-a6 \(\Q(\sqrt{7}) \) 72.1 72.1-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -42 a - 175\) , \( -307 a - 1155\bigr] \)
72.1-b6 \(\Q(\sqrt{7}) \) 72.1 72.1-b \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -40 a - 175\) , \( 226 a + 805\bigr] \)
432.1-m6 \(\Q(\sqrt{7}) \) 432.1 432.1-m \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -5613 a - 14856\) , \( 372908 a + 986611\bigr] \)
432.1-o6 \(\Q(\sqrt{7}) \) 432.1 432.1-o \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -5611 a - 14851\) , \( -378520 a - 1001465\bigr] \)
432.2-m6 \(\Q(\sqrt{7}) \) 432.2 432.2-m \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 1371 a - 3656\) , \( 50531 a - 133669\bigr] \)
432.2-o6 \(\Q(\sqrt{7}) \) 432.2 432.2-o \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 1371 a - 3651\) , \( -49160 a + 130015\bigr] \)
648.1-d6 \(\Q(\sqrt{7}) \) 648.1 648.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -357 a - 1563\) , \( -9110 a - 30545\bigr] \)
648.1-l6 \(\Q(\sqrt{7}) \) 648.1 648.1-l \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -358 a - 1567\) , \( 6823 a + 24893\bigr] \)
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