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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-c1 \(\Q(\sqrt{7}) \) 72.1 72.1-c \( \bigl[a + 1\) , \( a\) , \( 0\) , \( 190 a + 504\) , \( -16334 a - 43216\bigr] \)
72.1-d1 \(\Q(\sqrt{7}) \) 72.1 72.1-d \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 189 a + 503\) , \( 17022 a + 45035\bigr] \)
432.1-c1 \(\Q(\sqrt{7}) \) 432.1 432.1-c \( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -17 a + 40\) , \( -428 a + 1123\bigr] \)
432.1-g1 \(\Q(\sqrt{7}) \) 432.1 432.1-g \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -15 a + 45\) , \( 412 a - 1081\bigr] \)
432.2-c1 \(\Q(\sqrt{7}) \) 432.2 432.2-c \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 15 a + 40\) , \( 427 a + 1123\bigr] \)
432.2-g1 \(\Q(\sqrt{7}) \) 432.2 432.2-g \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( 15 a + 45\) , \( -412 a - 1081\bigr] \)
648.1-f1 \(\Q(\sqrt{7}) \) 648.1 648.1-f \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -1690 a + 4481\) , \( 451707 a - 1195095\bigr] \)
648.1-m1 \(\Q(\sqrt{7}) \) 648.1 648.1-m \( \bigl[a + 1\) , \( a + 1\) , \( 0\) , \( -1689 a + 4485\) , \( -450610 a + 1192215\bigr] \)
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