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
23.2-a2	\(\Q(\zeta_{11})^+\)	23	23.2	23.2-a	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( a^{2} + a - 1\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 2\) , \( 49 a^{4} - 67 a^{3} - 121 a^{2} + 192 a - 44\) , \( 233 a^{4} - 388 a^{3} - 573 a^{2} + 1088 a - 256\bigr] \)
529.14-a2	\(\Q(\zeta_{11})^+\)	529	529.14	529.14-a	\( \bigl[a^{2} - 2\) , \( a^{3} - a^{2} - 3 a + 2\) , \( a^{2} - 1\) , \( -17 a^{4} - 3 a^{3} + 94 a^{2} + 8 a - 117\) , \( -157 a^{4} + 133 a^{3} + 635 a^{2} - 364 a - 450\bigr] \)