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
49.1-a1	5.5.36497.1	49	49.1	49.1-a	\( \bigl[2 a^{4} - 3 a^{3} - 7 a^{2} + 7 a + 4\) , \( a^{4} - 2 a^{3} - 3 a^{2} + 6 a + 2\) , \( a^{2} - 2\) , \( -127 a^{4} + 191 a^{3} + 470 a^{2} - 400 a - 351\) , \( -1617 a^{4} + 2597 a^{3} + 5876 a^{2} - 5786 a - 3783\bigr] \)
49.1-b1	5.5.36497.1	49	49.1	49.1-b	\( \bigl[2 a^{4} - 3 a^{3} - 6 a^{2} + 6 a + 1\) , \( a^{4} - a^{3} - 4 a^{2} + 3 a + 2\) , \( a^{4} - 2 a^{3} - 3 a^{2} + 6 a + 1\) , \( 2 a^{4} - 3 a^{3} + 5 a^{2} + a - 44\) , \( 20 a^{4} - 15 a^{3} - 37 a^{2} - 26 a - 133\bigr] \)