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curve label base field conductor norm conductor label isogeny class label Weierstrass coefficients
13.1-a1 5.5.36497.1 13 13.1 13.1-a \( \bigl[a^{4} - a^{3} - 4 a^{2} + 3 a + 3\) , \( 2 a^{4} - 3 a^{3} - 8 a^{2} + 9 a + 4\) , \( a\) , \( 53 a^{4} - 87 a^{3} - 190 a^{2} + 191 a + 122\) , \( 579 a^{4} - 931 a^{3} - 2120 a^{2} + 2049 a + 1416\bigr] \)
13.1-a2 5.5.36497.1 13 13.1 13.1-a \( \bigl[a^{4} - 2 a^{3} - 3 a^{2} + 6 a + 1\) , \( -a^{2} + 2 a + 1\) , \( a^{2} - a - 2\) , \( 4 a^{4} - 6 a^{3} - 13 a^{2} + 10 a + 6\) , \( 5 a^{4} - 4 a^{3} - 19 a^{2} + 2 a + 3\bigr] \)
13.1-b1 5.5.36497.1 13 13.1 13.1-b \( \bigl[1\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 6 a + 2\) , \( 0\) , \( 8 a^{4} - 12 a^{3} - 28 a^{2} + 24 a + 12\) , \( 10 a^{4} - 19 a^{3} - 39 a^{2} + 50 a + 43\bigr] \)
13.1-b2 5.5.36497.1 13 13.1 13.1-b \( \bigl[1\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 6 a + 2\) , \( 0\) , \( -2 a^{4} + 3 a^{3} + 7 a^{2} - 6 a - 3\) , \( 0\bigr] \)



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