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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
8379.5-a1 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-a \( \bigl[a\) , \( -1\) , \( 0\) , \( -7912 a + 8171\) , \( -10322 a - 273673\bigr] \)
8379.5-a2 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-a \( \bigl[a\) , \( -1\) , \( 0\) , \( -6532 a + 2141\) , \( -171056 a + 165017\bigr] \)
8379.5-a3 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-a \( \bigl[a\) , \( -1\) , \( 0\) , \( -622 a + 476\) , \( -2951 a - 2080\bigr] \)
8379.5-a4 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-a \( \bigl[a\) , \( -1\) , \( 0\) , \( 203 a - 109\) , \( -452 a - 316\bigr] \)
8379.5-a5 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-a \( \bigl[a\) , \( -1\) , \( 0\) , \( 83 a - 64\) , \( 241 a - 43\bigr] \)
8379.5-a6 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-a \( \bigl[a\) , \( -1\) , \( 0\) , \( 2948 a - 1414\) , \( -40205 a - 16444\bigr] \)
8379.5-b1 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-b \( \bigl[1\) , \( a\) , \( 1\) , \( a - 1\) , \( -1\bigr] \)
8379.5-c1 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-c \( \bigl[1\) , \( -1\) , \( 1\) , \( -3 a + 10\) , \( 51 a + 12\bigr] \)
8379.5-d1 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-d \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( 19 a - 17\) , \( 46 a - 16\bigr] \)
8379.5-d2 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-d \( \bigl[1\) , \( -a + 1\) , \( a + 1\) , \( -36 a - 27\) , \( 183 a + 49\bigr] \)
8379.5-d3 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-d \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 15 a\) , \( 12 a - 16\bigr] \)
8379.5-d4 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-d \( \bigl[a + 1\) , \( 0\) , \( 0\) , \( 180 a + 30\) , \( 297 a - 1207\bigr] \)
8379.5-e1 \(\Q(\sqrt{-3}) \) 8379.5 8379.5-e \( \bigl[0\) , \( a + 1\) , \( a + 1\) , \( 17 a - 55\) , \( -53 a - 49\bigr] \)
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