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
41.3-a1	\(\Q(\zeta_{21})^+\)	41	41.3	41.3-a	\( \bigl[a^{2} + a - 2\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 5 a - 2\) , \( a^{5} - 5 a^{3} + 2 a^{2} + 5 a - 3\) , \( a^{5} - a^{4} - 6 a^{3} + 4 a^{2} + 6 a - 3\) , \( -a^{5} - a^{4} + 4 a^{3} + 3 a^{2} - 2 a - 1\bigr] \)
41.3-d1	\(\Q(\zeta_{21})^+\)	41	41.3	41.3-d	\( \bigl[a^{4} - 3 a^{2} + a + 1\) , \( -a^{5} + 6 a^{3} - 8 a\) , \( a^{5} - 5 a^{3} + 2 a^{2} + 6 a - 3\) , \( 6 a^{5} - 4 a^{4} - 36 a^{3} + 23 a^{2} + 49 a - 30\) , \( 37 a^{5} - 35 a^{4} - 231 a^{3} + 201 a^{2} + 333 a - 260\bigr] \)