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-a3	\(\Q(\zeta_{11})^+\)	23	23.4	23.4-a	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 3 a\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -7 a^{4} + 26 a^{3} + 4 a^{2} - 50 a + 12\) , \( -45 a^{4} + 84 a^{3} + 135 a^{2} - 274 a + 66\bigr] \)
529.15-a3	\(\Q(\zeta_{11})^+\)	529	529.15	529.15-a	\( \bigl[a\) , \( -a^{4} + 4 a^{2} + a - 2\) , \( a + 1\) , \( 2 a^{4} + a^{3} - 26 a^{2} - 29 a + 8\) , \( -98 a^{4} - 35 a^{3} + 270 a^{2} + 62 a - 39\bigr] \)