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
23.3-a3	\(\Q(\zeta_{11})^+\)	23	23.3	23.3-a	\( \bigl[a^{4} - 4 a^{2} + a + 3\) , \( a^{3} + a^{2} - 4 a - 1\) , \( a^{4} - 4 a^{2} + a + 3\) , \( -2 a^{4} + a^{3} + 9 a^{2} - 4 a - 6\) , \( -2 a^{4} + 8 a^{2} - 4\bigr] \)
529.13-a3	\(\Q(\zeta_{11})^+\)	529	529.13	529.13-a	\( \bigl[a^{4} - 4 a^{2} + 2\) , \( -a^{3} + a^{2} + 2 a - 1\) , \( a^{4} - 4 a^{2} + 3\) , \( -2 a^{4} + 6 a^{2} - 2 a - 4\) , \( 5 a^{4} + 3 a^{3} - 15 a^{2} - 10 a + 1\bigr] \)