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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 (23 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
72.2-a8 \(\Q(\sqrt{-2}) \) 72.2 72.2-a \( \bigl[a\) , \( 1\) , \( a\) , \( -95\) , \( 347\bigr] \)
144.2-a8 \(\Q(\sqrt{-2}) \) 144.2 144.2-a \( \bigl[a\) , \( 0\) , \( a\) , \( -95\) , \( -346\bigr] \)
648.3-a8 \(\Q(\sqrt{-2}) \) 648.3 648.3-a \( \bigl[a\) , \( -1\) , \( a\) , \( -863\) , \( -9355\bigr] \)
1296.3-b8 \(\Q(\sqrt{-2}) \) 1296.3 1296.3-b \( \bigl[a\) , \( -1\) , \( 0\) , \( -864\) , \( 10220\bigr] \)
6912.2-a8 \(\Q(\sqrt{-2}) \) 6912.2 6912.2-a \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -768 a + 384\) , \( 2772 a - 13860\bigr] \)
6912.2-n8 \(\Q(\sqrt{-2}) \) 6912.2 6912.2-n \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -768 a + 384\) , \( -2772 a + 13860\bigr] \)
6912.3-a8 \(\Q(\sqrt{-2}) \) 6912.3 6912.3-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 768 a + 384\) , \( -2772 a - 13860\bigr] \)
6912.3-n8 \(\Q(\sqrt{-2}) \) 6912.3 6912.3-n \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 768 a + 384\) , \( 2772 a + 13860\bigr] \)
9216.2-m8 \(\Q(\sqrt{-2}) \) 9216.2 9216.2-m \( \bigl[0\) , \( a\) , \( 0\) , \( 768\) , \( -5544 a\bigr] \)
9216.2-o8 \(\Q(\sqrt{-2}) \) 9216.2 9216.2-o \( \bigl[0\) , \( -a\) , \( 0\) , \( 768\) , \( 5544 a\bigr] \)
20808.4-c8 \(\Q(\sqrt{-2}) \) 20808.4 20808.4-c \( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 1154 a - 96\) , \( -14320 a - 15496\bigr] \)
20808.6-c8 \(\Q(\sqrt{-2}) \) 20808.6 20808.6-c \( \bigl[a\) , \( a - 1\) , \( 0\) , \( -1154 a - 96\) , \( 14320 a - 15496\bigr] \)
26136.4-d8 \(\Q(\sqrt{-2}) \) 26136.4 26136.4-d \( \bigl[a\) , \( -a + 1\) , \( a\) , \( -769 a + 2979\) , \( -43172 a - 34454\bigr] \)
26136.6-i8 \(\Q(\sqrt{-2}) \) 26136.6 26136.6-i \( \bigl[a\) , \( -a + 1\) , \( 0\) , \( -1922 a - 1634\) , \( -48352 a - 3366\bigr] \)
26136.7-i8 \(\Q(\sqrt{-2}) \) 26136.7 26136.7-i \( \bigl[a\) , \( a + 1\) , \( 0\) , \( 1922 a - 1634\) , \( 48352 a - 3366\bigr] \)
26136.9-d8 \(\Q(\sqrt{-2}) \) 26136.9 26136.9-d \( \bigl[a\) , \( a + 1\) , \( a\) , \( 769 a + 2979\) , \( 43172 a - 34454\bigr] \)
27648.2-v8 \(\Q(\sqrt{-2}) \) 27648.2 27648.2-v \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 1538 a - 769\) , \( 29257 a + 10319\bigr] \)
27648.2-bb8 \(\Q(\sqrt{-2}) \) 27648.2 27648.2-bb \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 1538 a - 769\) , \( -29257 a - 10319\bigr] \)
27648.3-f8 \(\Q(\sqrt{-2}) \) 27648.3 27648.3-f \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -1538 a - 769\) , \( -29257 a + 10319\bigr] \)
27648.3-bp8 \(\Q(\sqrt{-2}) \) 27648.3 27648.3-bp \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -1538 a - 769\) , \( 29257 a - 10319\bigr] \)
41616.4-c8 \(\Q(\sqrt{-2}) \) 41616.4 41616.4-c \( \bigl[a\) , \( a - 1\) , \( a\) , \( 1152 a - 95\) , \( 13167 a + 15593\bigr] \)
41616.6-g8 \(\Q(\sqrt{-2}) \) 41616.6 41616.6-g \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1152 a - 95\) , \( -13167 a + 15593\bigr] \)
45000.2-i8 \(\Q(\sqrt{-2}) \) 45000.2 45000.2-i \( \bigl[a\) , \( 0\) , \( 0\) , \( -2402\) , \( 45714\bigr] \)
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