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curve label base field conductor norm conductor label isogeny class label Weierstrass coefficients
27.2-a1 6.6.434581.1 27 27.2 27.2-a \( \bigl[a + 1\) , \( a^{5} - 4 a^{4} + 12 a^{2} - 3 a - 4\) , \( a^{5} - 2 a^{4} - 4 a^{3} + 5 a^{2} + 4 a - 1\) , \( -2 a^{5} + 3 a^{4} + 8 a^{3} - 6 a - 1\) , \( -3 a^{5} + 6 a^{4} + 10 a^{3} - 10 a^{2} - 3 a\bigr] \)
27.2-a2 6.6.434581.1 27 27.2 27.2-a \( \bigl[2 a^{5} - 4 a^{4} - 7 a^{3} + 8 a^{2} + 5 a - 2\) , \( -a^{2} + a\) , \( 2 a^{5} - 5 a^{4} - 5 a^{3} + 12 a^{2} - 3\) , \( -10 a^{5} + 23 a^{4} + 29 a^{3} - 48 a^{2} - 13 a + 2\) , \( -18 a^{5} + 38 a^{4} + 59 a^{3} - 78 a^{2} - 35 a\bigr] \)
27.2-b1 6.6.434581.1 27 27.2 27.2-b \( \bigl[a^{5} - 2 a^{4} - 3 a^{3} + 3 a^{2} + 2 a + 1\) , \( -3 a^{5} + 8 a^{4} + 6 a^{3} - 18 a^{2} + a + 6\) , \( 3 a^{5} - 6 a^{4} - 10 a^{3} + 12 a^{2} + 5 a - 2\) , \( 11 a^{5} - 13 a^{4} - 58 a^{3} + 16 a^{2} + 61 a + 21\) , \( -560 a^{5} + 744 a^{4} + 2735 a^{3} - 952 a^{2} - 2871 a - 825\bigr] \)



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