Elliptic Curve Search Results

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Base field	Conductor norm	Isogenous curves	Base change curves	\(\Q\)-curves	CM curves
Torsion order	Isogeny degree	Torsion structure	j-invariant

Results (displaying both matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
39.1-a2	5.5.36497.1	39	39.1	39.1-a	\( \bigl[a^{4} - 2 a^{3} - 2 a^{2} + 4 a\) , \( -a^{4} + 2 a^{3} + 4 a^{2} - 7 a - 3\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 7 a + 3\) , \( 25 a^{4} - 77 a^{3} - 28 a^{2} + 177 a - 82\) , \( 195 a^{4} - 507 a^{3} - 353 a^{2} + 1180 a - 360\bigr] \)
39.1-b2	5.5.36497.1	39	39.1	39.1-b	\( \bigl[a^{4} - a^{3} - 3 a^{2} + 2 a + 1\) , \( -2 a^{4} + 3 a^{3} + 7 a^{2} - 7 a - 3\) , \( a^{4} - 2 a^{3} - 2 a^{2} + 4 a\) , \( -4 a^{4} + 10 a^{3} - a^{2} + 8 a - 21\) , \( 38 a^{4} - 121 a^{3} + 60 a^{2} + 31 a + 19\bigr] \)