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-a6	5.5.36497.1	39	39.1	39.1-a	\( \bigl[a^{4} - 2 a^{3} - 2 a^{2} + 4 a\) , \( -a^{4} + 2 a^{3} + 4 a^{2} - 7 a - 3\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 7 a + 3\) , \( 2185 a^{4} - 6512 a^{3} - 2423 a^{2} + 15352 a - 7692\) , \( -148316 a^{4} + 370555 a^{3} + 276975 a^{2} - 864563 a + 250675\bigr] \)
39.1-b6	5.5.36497.1	39	39.1	39.1-b	\( \bigl[2 a^{4} - 3 a^{3} - 6 a^{2} + 7 a + 1\) , \( a^{3} - a^{2} - 3 a + 2\) , \( 2 a^{4} - 3 a^{3} - 6 a^{2} + 7 a + 2\) , \( -4889 a^{4} + 8124 a^{3} + 17837 a^{2} - 18525 a - 13048\) , \( -269334 a^{4} + 434813 a^{3} + 983058 a^{2} - 970083 a - 674066\bigr] \)