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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 (13 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
8379.2-a1 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-a \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 7912 a + 259\) , \( 10322 a - 283995\bigr] \)
8379.2-a2 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-a \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 6532 a - 4391\) , \( 171056 a - 6039\bigr] \)
8379.2-a3 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-a \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( 622 a - 146\) , \( 2951 a - 5031\bigr] \)
8379.2-a4 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-a \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -203 a + 94\) , \( 452 a - 768\bigr] \)
8379.2-a5 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-a \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -83 a + 19\) , \( -241 a + 198\bigr] \)
8379.2-a6 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-a \( \bigl[a + 1\) , \( -a - 1\) , \( 0\) , \( -2948 a + 1534\) , \( 40205 a - 56649\bigr] \)
8379.2-b1 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-b \( \bigl[1\) , \( -a + 1\) , \( 1\) , \( -a\) , \( -1\bigr] \)
8379.2-c1 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-c \( \bigl[1\) , \( -1\) , \( 1\) , \( 3 a + 7\) , \( -51 a + 63\bigr] \)
8379.2-d1 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-d \( \bigl[1\) , \( a\) , \( a\) , \( -20 a + 3\) , \( -47 a + 31\bigr] \)
8379.2-d2 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-d \( \bigl[1\) , \( a\) , \( a\) , \( 35 a - 62\) , \( -184 a + 233\bigr] \)
8379.2-d3 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-d \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -15\) , \( -12 a - 4\bigr] \)
8379.2-d4 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-d \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -30 a - 180\) , \( -297 a - 910\bigr] \)
8379.2-e1 \(\Q(\sqrt{-3}) \) 8379.2 8379.2-e \( \bigl[0\) , \( -a - 1\) , \( a\) , \( -15 a - 39\) , \( 68 a - 62\bigr] \)
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