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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-a8 \(\Q(\sqrt{7}) \) 72.1 72.1-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -222 a - 555\) , \( 2633 a + 7145\bigr] \)
72.1-b8 \(\Q(\sqrt{7}) \) 72.1 72.1-b \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -220 a - 555\) , \( -3074 a - 8255\bigr] \)
432.1-m8 \(\Q(\sqrt{7}) \) 432.1 432.1-m \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -22753 a - 60196\) , \( -3035952 a - 8032369\bigr] \)
432.1-o8 \(\Q(\sqrt{7}) \) 432.1 432.1-o \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -22751 a - 60191\) , \( 3013200 a + 7972175\bigr] \)
432.2-m8 \(\Q(\sqrt{7}) \) 432.2 432.2-m \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -569 a + 1404\) , \( -28209 a + 74191\bigr] \)
432.2-o8 \(\Q(\sqrt{7}) \) 432.2 432.2-o \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -569 a + 1409\) , \( 27640 a - 72785\bigr] \)
648.1-d8 \(\Q(\sqrt{7}) \) 648.1 648.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -1977 a - 4983\) , \( 70090 a + 189055\bigr] \)
648.1-l8 \(\Q(\sqrt{7}) \) 648.1 648.1-l \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -1978 a - 4987\) , \( -79037 a - 212887\bigr] \)
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