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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-a3 \(\Q(\sqrt{7}) \) 72.1 72.1-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( 218 a - 555\) , \( 3073 a - 8255\bigr] \)
72.1-b3 \(\Q(\sqrt{7}) \) 72.1 72.1-b \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 220 a - 555\) , \( -2634 a + 7145\bigr] \)
432.1-m3 \(\Q(\sqrt{7}) \) 432.1 432.1-m \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 567 a + 1404\) , \( 28208 a + 74191\bigr] \)
432.1-o3 \(\Q(\sqrt{7}) \) 432.1 432.1-o \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 569 a + 1409\) , \( -27640 a - 72785\bigr] \)
432.2-m3 \(\Q(\sqrt{7}) \) 432.2 432.2-m \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 22751 a - 60196\) , \( 3035951 a - 8032369\bigr] \)
432.2-o3 \(\Q(\sqrt{7}) \) 432.2 432.2-o \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 22751 a - 60191\) , \( -3013200 a + 7972175\bigr] \)
648.1-d3 \(\Q(\sqrt{7}) \) 648.1 648.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 1983 a - 4983\) , \( 74050 a - 199025\bigr] \)
648.1-l3 \(\Q(\sqrt{7}) \) 648.1 648.1-l \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 1982 a - 4987\) , \( -75077 a + 202913\bigr] \)
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