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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
29.1-a1 4.4.5125.1 29.1 29.1-a \( \bigl[a^{3} - 4 a - 4\) , \( -a - 1\) , \( a^{3} - a^{2} - 4 a + 1\) , \( -64 a^{3} + 32 a^{2} + 393 a - 43\) , \( 43 a^{3} - 491 a^{2} - 169 a + 3203\bigr] \)
29.1-a2 4.4.5125.1 29.1 29.1-a \( \bigl[a^{3} - a^{2} - 4 a + 1\) , \( 0\) , \( a^{3} - 4 a - 4\) , \( a^{3} - a^{2} - 6 a - 2\) , \( a^{3} - 7 a - 7\bigr] \)
29.1-b1 4.4.5125.1 29.1 29.1-b \( \bigl[a^{3} - 5 a - 4\) , \( -a^{3} + 4 a + 4\) , \( a + 1\) , \( -1238 a^{3} - 283 a^{2} + 6707 a + 6118\) , \( 9222 a^{3} - 1273 a^{2} - 59782 a - 52486\bigr] \)
29.1-b2 4.4.5125.1 29.1 29.1-b \( \bigl[a^{2} - a - 3\) , \( a^{3} - 2 a^{2} - 3 a + 3\) , \( a^{3} - a^{2} - 3 a\) , \( -3 a^{3} + 7 a^{2} + 8 a - 18\) , \( 4 a^{3} - 14 a^{2} - 9 a + 43\bigr] \)
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