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
23.2-a3	\(\Q(\zeta_{11})^+\)	23	23.2	23.2-a	\( \bigl[a^{3} - 2 a\) , \( a^{4} - a^{3} - 4 a^{2} + 2 a + 3\) , \( a^{3} + a^{2} - 2 a - 2\) , \( -187 a^{4} - 46 a^{3} + 506 a^{2} - 163 a - 437\) , \( -3375 a^{4} - 1423 a^{3} + 9018 a^{2} - 208 a - 5628\bigr] \)
529.14-a3	\(\Q(\zeta_{11})^+\)	529	529.14	529.14-a	\( \bigl[a^{4} - 4 a^{2} + 3\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a - 1\) , \( a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( 47 a^{4} + 150 a^{3} - 160 a^{2} - 971 a - 874\) , \( -7241 a^{4} - 8629 a^{3} + 18825 a^{2} + 27489 a + 9832\bigr] \)