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 (unique match)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
49.1-a2	6.6.485125.1	49	49.1	49.1-a	\( \bigl[a^{2} + a - 1\) , \( 2 a^{5} - 3 a^{4} - 8 a^{3} + 10 a^{2} + 6 a - 3\) , \( -a^{5} + 2 a^{4} + 4 a^{3} - 7 a^{2} - 3 a + 4\) , \( -6 a^{5} + 2 a^{4} + 42 a^{3} + 5 a^{2} - 71 a - 40\) , \( 11 a^{5} + 11 a^{4} - 89 a^{3} - 91 a^{2} + 157 a + 153\bigr] \)