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
41.4-b1	\(\Q(\zeta_{21})^+\)	41	41.4	41.4-b	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( a^{4} - 5 a^{2} + a + 3\) , \( a^{2} + a - 2\) , \( 3 a^{5} - 14 a^{3} + 15 a + 1\) , \( 5 a^{5} - 28 a^{3} + 2 a^{2} + 38 a - 5\bigr] \)
41.4-c1	\(\Q(\zeta_{21})^+\)	41	41.4	41.4-c	\( \bigl[a^{5} - 5 a^{3} + 2 a^{2} + 6 a - 3\) , \( -a^{5} + a^{4} + 4 a^{3} - 4 a^{2} - a + 2\) , \( a^{5} - 4 a^{3} + 2 a^{2} + 2 a - 4\) , \( 3 a^{5} + 2 a^{4} - 11 a^{3} - 4 a^{2} + 8 a + 1\) , \( 6 a^{5} + 6 a^{4} - 24 a^{3} - 14 a^{2} + 19 a - 2\bigr] \)