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
41.4-b2	\(\Q(\zeta_{21})^+\)	41	41.4	41.4-b	\( \bigl[a^{5} - 5 a^{3} + 2 a^{2} + 6 a - 3\) , \( -a^{4} - a^{3} + 4 a^{2} + 2 a - 1\) , \( a + 1\) , \( 2 a^{5} - 10 a^{3} + 3 a^{2} + 10 a - 5\) , \( 2 a^{5} - 10 a^{3} + 3 a^{2} + 11 a - 7\bigr] \)
41.4-c2	\(\Q(\zeta_{21})^+\)	41	41.4	41.4-c	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 1\) , \( a^{3} - a^{2} - 4 a + 2\) , \( a^{2} + a - 1\) , \( -3 a^{5} - a^{4} + 18 a^{3} + 5 a^{2} - 20 a + 3\) , \( 17 a^{5} + 11 a^{4} - 82 a^{3} - 31 a^{2} + 79 a - 11\bigr] \)