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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-a2 \(\Q(\sqrt{-2}) \) 72.2 72.2-a \( \bigl[0\) , \( -1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
144.2-a2 \(\Q(\sqrt{-2}) \) 144.2 144.2-a \( \bigl[0\) , \( 1\) , \( 0\) , \( 1\) , \( 0\bigr] \)
648.3-a2 \(\Q(\sqrt{-2}) \) 648.3 648.3-a \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( -7\bigr] \)
1296.3-b2 \(\Q(\sqrt{-2}) \) 1296.3 1296.3-b \( \bigl[0\) , \( 0\) , \( 0\) , \( 6\) , \( 7\bigr] \)
6912.2-a2 \(\Q(\sqrt{-2}) \) 6912.2 6912.2-a \( \bigl[0\) , \( a + 1\) , \( 0\) , \( 2 a - 1\) , \( 0\bigr] \)
6912.2-n2 \(\Q(\sqrt{-2}) \) 6912.2 6912.2-n \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 2 a - 1\) , \( 0\bigr] \)
6912.3-a2 \(\Q(\sqrt{-2}) \) 6912.3 6912.3-a \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -2 a - 1\) , \( 0\bigr] \)
6912.3-n2 \(\Q(\sqrt{-2}) \) 6912.3 6912.3-n \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -2 a - 1\) , \( 0\bigr] \)
9216.2-m2 \(\Q(\sqrt{-2}) \) 9216.2 9216.2-m \( \bigl[0\) , \( a\) , \( 0\) , \( -2\) , \( 0\bigr] \)
9216.2-o2 \(\Q(\sqrt{-2}) \) 9216.2 9216.2-o \( \bigl[0\) , \( -a\) , \( 0\) , \( -2\) , \( 0\bigr] \)
20808.4-c2 \(\Q(\sqrt{-2}) \) 20808.4 20808.4-c \( \bigl[0\) , \( -a\) , \( 0\) , \( -8 a\) , \( -10 a - 17\bigr] \)
20808.6-c2 \(\Q(\sqrt{-2}) \) 20808.6 20808.6-c \( \bigl[0\) , \( a\) , \( 0\) , \( 8 a\) , \( 10 a - 17\bigr] \)
26136.4-d2 \(\Q(\sqrt{-2}) \) 26136.4 26136.4-d \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 6 a - 21\) , \( -25 a - 14\bigr] \)
26136.6-i2 \(\Q(\sqrt{-2}) \) 26136.6 26136.6-i \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( 14 a + 11\) , \( -43 a + 4\bigr] \)
26136.7-i2 \(\Q(\sqrt{-2}) \) 26136.7 26136.7-i \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -14 a + 11\) , \( 43 a + 4\bigr] \)
26136.9-d2 \(\Q(\sqrt{-2}) \) 26136.9 26136.9-d \( \bigl[0\) , \( a - 1\) , \( 0\) , \( -6 a - 21\) , \( 25 a - 14\bigr] \)
27648.2-v2 \(\Q(\sqrt{-2}) \) 27648.2 27648.2-v \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -2 a + 1\) , \( -3 a + 1\bigr] \)
27648.2-bb2 \(\Q(\sqrt{-2}) \) 27648.2 27648.2-bb \( \bigl[0\) , \( -a - 1\) , \( 0\) , \( -2 a + 1\) , \( 3 a - 1\bigr] \)
27648.3-f2 \(\Q(\sqrt{-2}) \) 27648.3 27648.3-f \( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 2 a + 1\) , \( 3 a + 1\bigr] \)
27648.3-bp2 \(\Q(\sqrt{-2}) \) 27648.3 27648.3-bp \( \bigl[0\) , \( a - 1\) , \( 0\) , \( 2 a + 1\) , \( -3 a - 1\bigr] \)
41616.4-c2 \(\Q(\sqrt{-2}) \) 41616.4 41616.4-c \( \bigl[0\) , \( a\) , \( 0\) , \( -8 a\) , \( 10 a + 17\bigr] \)
41616.6-g2 \(\Q(\sqrt{-2}) \) 41616.6 41616.6-g \( \bigl[0\) , \( -a\) , \( 0\) , \( 8 a\) , \( -10 a + 17\bigr] \)
45000.2-i2 \(\Q(\sqrt{-2}) \) 45000.2 45000.2-i \( \bigl[0\) , \( 1\) , \( 0\) , \( 17\) , \( 38\bigr] \)
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