Elliptic Curve Search Results

Refine search

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
23.1-a1	\(\Q(\zeta_{11})^+\)	23	23.1	23.1-a	\( \bigl[a^{3} + a^{2} - 2 a - 2\) , \( -a^{4} - a^{3} + 5 a^{2} + 4 a - 4\) , \( a^{3} - 3 a + 1\) , \( 2 a^{3} + a^{2} - 3 a + 1\) , \( 2 a^{4} - 4 a^{2} + a\bigr] \)
529.12-a1	\(\Q(\zeta_{11})^+\)	529	529.12	529.12-a	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( a^{3} + a^{2} - 3 a - 3\) , \( a^{2} - 1\) , \( 8 a^{4} + 5 a^{3} - 22 a^{2} - 9 a + 5\) , \( 4 a^{4} + 7 a^{3} - 7 a^{2} + a + 7\bigr] \)