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
41.5-b1	\(\Q(\zeta_{21})^+\)	41	41.5	41.5-b	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 5 a - 1\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( a^{5} + a^{4} - 4 a^{3} - 3 a^{2} + 2 a\) , \( 4 a^{5} + 6 a^{4} - 20 a^{3} - 14 a^{2} + 21 a - 3\) , \( 4 a^{5} + 6 a^{4} - 20 a^{3} - 14 a^{2} + 21 a - 3\bigr] \)
41.5-c1	\(\Q(\zeta_{21})^+\)	41	41.5	41.5-c	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 1\) , \( a^{5} + a^{4} - 4 a^{3} - 2 a^{2} + 2 a - 1\) , \( a^{4} - 3 a^{2} + 1\) , \( 17 a^{5} + 11 a^{4} - 72 a^{3} - 20 a^{2} + 60 a - 11\) , \( 34 a^{5} + 34 a^{4} - 144 a^{3} - 84 a^{2} + 133 a - 13\bigr] \)