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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 (4 matches)

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Label Base field Conductor Isogeny class Weierstrass coefficients
29.2-a1 4.4.5125.1 29.2 29.2-a \( \bigl[a^{3} - 5 a - 3\) , \( -a\) , \( a^{3} - a^{2} - 3 a + 1\) , \( -2 a^{3} + 3 a^{2} + 6 a - 7\) , \( -2 a^{3} + 4 a^{2} + 6 a - 12\bigr] \)
29.2-a2 4.4.5125.1 29.2 29.2-a \( \bigl[a^{3} - a^{2} - 3 a + 1\) , \( -a^{3} + a^{2} + 3 a - 1\) , \( a^{3} - 5 a - 3\) , \( 63 a^{3} - 159 a^{2} - 264 a + 319\) , \( -43 a^{3} - 362 a^{2} + 1021 a + 2586\bigr] \)
29.2-b1 4.4.5125.1 29.2 29.2-b \( \bigl[a^{2} - a - 3\) , \( -a^{3} + a^{2} + 4 a - 1\) , \( a^{3} - 4 a - 3\) , \( 2 a^{3} - a^{2} - 11 a - 6\) , \( -5 a^{3} - a^{2} + 27 a + 24\bigr] \)
29.2-b2 4.4.5125.1 29.2 29.2-b \( \bigl[a^{3} - a^{2} - 4 a\) , \( -a^{3} + a^{2} + 4 a\) , \( a + 1\) , \( 1230 a^{3} - 3982 a^{2} - 2398 a + 11270\) , \( -12237 a^{3} + 35584 a^{2} + 43296 a - 135242\bigr] \)
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