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-a4	\(\Q(\zeta_{11})^+\)	23	23.5	23.5-a	\( \bigl[a^{3} + a^{2} - 3 a - 1\) , \( -a^{4} + a^{3} + 5 a^{2} - 4 a - 5\) , \( a^{4} - 4 a^{2} + a + 3\) , \( 247 a^{4} - 703 a^{3} - 792 a^{2} + 1375 a - 829\) , \( 3387 a^{4} - 14884 a^{3} - 12485 a^{2} + 30720 a - 11294\bigr] \)
529.11-a4	\(\Q(\zeta_{11})^+\)	529	529.11	529.11-a	\( \bigl[a^{3} - 3 a\) , \( a^{3} - 2 a\) , \( a^{3} - 3 a + 1\) , \( -3637 a^{4} - 5289 a^{3} + 8335 a^{2} + 9042 a - 4717\) , \( 319273 a^{4} + 370615 a^{3} - 699390 a^{2} - 593640 a + 189760\bigr] \)