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-a1	\(\Q(\zeta_{11})^+\)	23	23.5	23.5-a	\( \bigl[a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -a^{4} + 3 a^{2} + a + 1\) , \( a\) , \( -308 a^{4} + 310 a^{3} + 1145 a^{2} - 661 a - 1021\) , \( -4125 a^{4} + 3861 a^{3} + 15898 a^{2} - 8465 a - 13846\bigr] \)
529.11-a1	\(\Q(\zeta_{11})^+\)	529	529.11	529.11-a	\( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a\) , \( a^{3} - 3 a + 1\) , \( -372 a^{4} + 56 a^{3} + 1290 a^{2} - 663 a - 1537\) , \( 1811 a^{4} + 11552 a^{3} + 4197 a^{2} - 27571 a - 17723\bigr] \)