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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-c6 \(\Q(\sqrt{7}) \) 72.1 72.1-c \( \bigl[a + 1\) , \( a\) , \( 0\) , \( -4610 a - 12196\) , \( -286494 a - 757992\bigr] \)
72.1-d6 \(\Q(\sqrt{7}) \) 72.1 72.1-d \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -4611 a - 12197\) , \( 269682 a + 713511\bigr] \)
432.1-c6 \(\Q(\sqrt{7}) \) 432.1 432.1-c \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( 383 a - 1060\) , \( -6584 a + 17323\bigr] \)
432.1-g6 \(\Q(\sqrt{7}) \) 432.1 432.1-g \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 385 a - 1055\) , \( 6968 a - 18381\bigr] \)
432.2-c6 \(\Q(\sqrt{7}) \) 432.2 432.2-c \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -385 a - 1060\) , \( 6583 a + 17323\bigr] \)
432.2-g6 \(\Q(\sqrt{7}) \) 432.2 432.2-g \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -385 a - 1055\) , \( -6968 a - 18381\bigr] \)
648.1-f6 \(\Q(\sqrt{7}) \) 648.1 648.1-f \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -41505 a - 109815\) , \( -7584046 a - 20065501\bigr] \)
648.1-m6 \(\Q(\sqrt{7}) \) 648.1 648.1-m \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -41506 a - 109819\) , \( 7391211 a + 19555309\bigr] \)
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