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
23.4-a2	\(\Q(\zeta_{11})^+\)	23	23.4	23.4-a	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( -a^{4} - a^{3} + 5 a^{2} + 3 a - 5\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -136 a^{4} - 116 a^{3} + 365 a^{2} + 142 a - 269\) , \( -2624 a^{4} - 2311 a^{3} + 6124 a^{2} + 3032 a - 2236\bigr] \)
529.15-a2	\(\Q(\zeta_{11})^+\)	529	529.15	529.15-a	\( \bigl[a^{4} - 3 a^{2} + 1\) , \( -a^{3} + a^{2} + 2 a - 1\) , \( a^{4} - 3 a^{2} + a + 1\) , \( -41 a^{4} - 126 a^{3} - 86 a^{2} - 450 a - 792\) , \( 5064 a^{4} + 2872 a^{3} - 6769 a^{2} + 9962 a + 8997\bigr] \)