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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 (8 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
12675.3-a1 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1650 a + 881\) , \( 30903 a - 44980\bigr] \)
12675.3-a2 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 1\) , \( -7 a + 10\bigr] \)
12675.3-a3 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( 525 a - 279\) , \( 1246 a - 1999\bigr] \)
12675.3-a4 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -150 a + 81\) , \( 283 a - 370\bigr] \)
12675.3-a5 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -75 a + 41\) , \( -114 a + 191\bigr] \)
12675.3-a6 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -2025 a + 1081\) , \( 22808 a - 32945\bigr] \)
12675.3-a7 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -1200 a + 641\) , \( -9279 a + 14036\bigr] \)
12675.3-a8 \(\Q(\sqrt{-3}) \) 12675.3 12675.3-a \( \bigl[a\) , \( -a - 1\) , \( a\) , \( -32400 a + 17281\) , \( 1408313 a - 2063210\bigr] \)
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