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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
12675.1-a1 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -879 a + 1650\) , \( -30133 a - 13197\bigr] \)
12675.1-a2 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( a\) , \( 7 a + 3\bigr] \)
12675.1-a3 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( 281 a - 525\) , \( -1491 a - 1033\bigr] \)
12675.1-a4 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -79 a + 150\) , \( -213 a - 7\bigr] \)
12675.1-a5 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -39 a + 75\) , \( 149 a + 117\bigr] \)
12675.1-a6 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -1079 a + 2025\) , \( -21863 a - 9057\bigr] \)
12675.1-a7 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -639 a + 1200\) , \( 9839 a + 5397\bigr] \)
12675.1-a8 \(\Q(\sqrt{-3}) \) 12675.1 12675.1-a \( \bigl[1\) , \( a + 1\) , \( 1\) , \( -17279 a + 32400\) , \( -1393193 a - 637617\bigr] \)
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