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
23.5-a3	\(\Q(\zeta_{11})^+\)	23	23.5	23.5-a	\( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( a^{4} - 4 a^{2} + a + 3\) , \( 12 a^{4} - 18 a^{3} - 37 a^{2} + 45 a + 6\) , \( -18 a^{4} + 26 a^{3} + 47 a^{2} - 72 a + 15\bigr] \)
529.11-a3	\(\Q(\zeta_{11})^+\)	529	529.11	529.11-a	\( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a\) , \( a^{3} - 3 a + 1\) , \( 18 a^{4} - 44 a^{3} - 55 a^{2} + 112 a - 12\) , \( 122 a^{4} - 165 a^{3} - 331 a^{2} + 471 a - 35\bigr] \)