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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-a2 \(\Q(\sqrt{7}) \) 72.1 72.1-a \( \bigl[a + 1\) , \( -a + 1\) , \( a + 1\) , \( -2 a\) , \( -a\bigr] \)
72.1-b2 \(\Q(\sqrt{7}) \) 72.1 72.1-b \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 0\) , \( 0\bigr] \)
432.1-m2 \(\Q(\sqrt{7}) \) 432.1 432.1-m \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 7 a + 19\) , \( -57 a - 151\bigr] \)
432.1-o2 \(\Q(\sqrt{7}) \) 432.1 432.1-o \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 9 a + 24\) , \( 65 a + 172\bigr] \)
432.2-m2 \(\Q(\sqrt{7}) \) 432.2 432.2-m \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -9 a + 19\) , \( 56 a - 151\bigr] \)
432.2-o2 \(\Q(\sqrt{7}) \) 432.2 432.2-o \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -9 a + 24\) , \( -65 a + 172\bigr] \)
648.1-d2 \(\Q(\sqrt{7}) \) 648.1 648.1-d \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( 3 a + 12\) , \( 7 a + 10\bigr] \)
648.1-l2 \(\Q(\sqrt{7}) \) 648.1 648.1-l \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( 2 a + 8\) , \( a + 8\bigr] \)
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