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-a1	\(\Q(\zeta_{11})^+\)	23	23.4	23.4-a	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( -a^{4} - a^{3} + 5 a^{2} + 3 a - 5\) , \( a^{4} + a^{3} - 4 a^{2} - 2 a + 3\) , \( -2681 a^{4} - 1331 a^{3} + 7125 a^{2} + 587 a - 4049\) , \( -146736 a^{4} - 108973 a^{3} + 354020 a^{2} + 126719 a - 132130\bigr] \)
529.15-a1	\(\Q(\zeta_{11})^+\)	529	529.15	529.15-a	\( \bigl[a^{2} - 1\) , \( -a^{4} + 5 a^{2} - a - 5\) , \( a^{3} - 3 a\) , \( -9701 a^{4} + 4825 a^{3} + 37011 a^{2} - 14694 a - 30397\) , \( 683650 a^{4} - 332513 a^{3} - 2681517 a^{2} + 978125 a + 2147146\bigr] \)