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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 (17 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
27225.2-a1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-a \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -120 a + 21\) , \( 584 a - 628\bigr] \)
27225.2-a2 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-a \( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( -5 a - 9\) , \( 5 a - 25\bigr] \)
27225.2-b1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-b \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( -11 a + 28\) , \( -11 a + 30\bigr] \)
27225.2-b2 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-b \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 44 a - 137\) , \( -220 a + 360\bigr] \)
27225.2-b3 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-b \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 319 a - 962\) , \( 4895 a - 9540\bigr] \)
27225.2-b4 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-b \( \bigl[a + 1\) , \( -1\) , \( a + 1\) , \( 649 a - 1952\) , \( -16071 a + 29400\bigr] \)
27225.2-c1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-c \( \bigl[1\) , \( -1\) , \( a\) , \( 47 a + 6\) , \( 36 a + 265\bigr] \)
27225.2-c2 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-c \( \bigl[1\) , \( -1\) , \( a\) , \( 57 a + 111\) , \( 457 a - 512\bigr] \)
27225.2-d1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-d \( \bigl[a\) , \( 0\) , \( a\) , \( -10 a - 63\) , \( 57 a + 160\bigr] \)
27225.2-d2 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-d \( \bigl[1\) , \( a - 1\) , \( 1\) , \( 42 a - 35\) , \( -98 a - 120\bigr] \)
27225.2-e1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-e \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -408 a + 493\) , \( -784 a + 7502\bigr] \)
27225.2-e2 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-e \( \bigl[1\) , \( -a - 1\) , \( 1\) , \( -23 a - 2\) , \( 74 a + 176\bigr] \)
27225.2-f1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-f \( \bigl[a\) , \( a\) , \( 0\) , \( -3755 a - 17754\) , \( -313015 a - 857265\bigr] \)
27225.2-f2 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-f \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 1738 a - 2624\) , \( 2648 a + 21893\bigr] \)
27225.2-f3 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-f \( \bigl[a\) , \( a\) , \( 0\) , \( -3645 a - 18249\) , \( -321166 a - 799548\bigr] \)
27225.2-f4 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-f \( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( 21648 a - 26219\) , \( 1749954 a - 331009\bigr] \)
27225.2-g1 \(\Q(\sqrt{-11}) \) 27225.2 27225.2-g \( \bigl[a + 1\) , \( -1\) , \( a\) , \( 127 a - 384\) , \( -3063 a + 5599\bigr] \)
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