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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 (6 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
19.2-a1 4.4.5125.1 19.2 19.2-a \( \bigl[0\) , \( a^{3} - a^{2} - 3 a\) , \( a^{2} - a - 4\) , \( -a^{3} + a^{2} + 5 a + 3\) , \( a^{3} - 6 a - 6\bigr] \)
19.2-b1 4.4.5125.1 19.2 19.2-b \( \bigl[0\) , \( a^{3} - 6 a - 3\) , \( a^{2} - 4\) , \( 3 a^{3} - 18 a^{2} + 12 a + 40\) , \( -9 a^{3} + 37 a^{2} - 9 a - 71\bigr] \)
361.4-a1 4.4.5125.1 361.4 361.4-a \( \bigl[0\) , \( 1\) , \( a^{3} - a^{2} - 3 a\) , \( -3 a^{2} + 13 a - 13\) , \( 4 a^{2} - 27 a + 39\bigr] \)
361.4-b1 4.4.5125.1 361.4 361.4-b \( \bigl[0\) , \( -a^{3} + 2 a^{2} + 3 a - 3\) , \( a^{3} - 4 a - 3\) , \( -6 a^{3} - 2 a^{2} + 28 a + 26\) , \( -15 a^{3} - 8 a^{2} + 68 a + 65\bigr] \)
475.2-a1 4.4.5125.1 475.2 475.2-a \( \bigl[0\) , \( a^{3} - 6 a - 5\) , \( a^{2} - 3\) , \( -6 a^{3} - 2 a^{2} + 30 a + 27\) , \( -3 a^{3} - 4 a^{2} + 6 a + 7\bigr] \)
475.2-d1 4.4.5125.1 475.2 475.2-d \( \bigl[0\) , \( -a^{2} + 2 a + 5\) , \( a^{2} - a - 4\) , \( 3 a^{3} - 15 a^{2} + 12 a + 21\) , \( 9 a^{3} - 38 a^{2} + 21 a + 44\bigr] \)
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