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-a2	\(\Q(\zeta_{11})^+\)	23	23.3	23.3-a	\( \bigl[a^{4} - 3 a^{2}\) , \( -a^{4} + a^{3} + 4 a^{2} - 4 a - 2\) , \( a^{4} - 3 a^{2} + a + 1\) , \( 18 a^{4} - 30 a^{3} - 46 a^{2} + 82 a - 17\) , \( -37 a^{4} + 76 a^{3} + 93 a^{2} - 205 a + 49\bigr] \)
529.13-a2	\(\Q(\zeta_{11})^+\)	529	529.13	529.13-a	\( \bigl[a^{4} - 4 a^{2} + 2\) , \( -a^{3} + a^{2} + 2 a - 1\) , \( a^{4} - 4 a^{2} + 3\) , \( 23 a^{4} + 20 a^{3} - 94 a^{2} - 57 a + 16\) , \( 140 a^{4} + 24 a^{3} - 462 a^{2} - 205 a + 95\bigr] \)