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
37.1-b1	5.5.36497.1	37	37.1	37.1-b	\( \bigl[2 a^{4} - 3 a^{3} - 7 a^{2} + 8 a + 4\) , \( a^{2} - a - 1\) , \( a^{4} - 2 a^{3} - 3 a^{2} + 6 a + 1\) , \( a^{4} - a^{3} - a^{2} + a - 2\) , \( -4 a^{4} + 5 a^{3} + 15 a^{2} - 12 a - 11\bigr] \)
37.1-c1	5.5.36497.1	37	37.1	37.1-c	\( \bigl[a^{4} - a^{3} - 3 a^{2} + a\) , \( a^{3} - a^{2} - 2 a + 1\) , \( 2 a^{4} - 3 a^{3} - 7 a^{2} + 8 a + 3\) , \( a^{4} - 2 a^{3} - 2 a^{2} + 4 a - 1\) , \( -2 a^{4} + 3 a^{3} + 7 a^{2} - 6 a - 5\bigr] \)