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
41.2-b1	\(\Q(\zeta_{21})^+\)	41	41.2	41.2-b	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( -a^{5} + 4 a^{3} - a^{2} - 3 a + 1\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -a^{5} + 4 a^{3} - 3 a - 1\) , \( -1\bigr] \)
41.2-c1	\(\Q(\zeta_{21})^+\)	41	41.2	41.2-c	\( \bigl[a^{4} - 3 a^{2} + 1\) , \( -a^{5} - a^{4} + 4 a^{3} + 2 a^{2} - a + 1\) , \( a + 1\) , \( -a^{5} - a^{4} + 6 a^{3} + 3 a^{2} - 9 a + 1\) , \( 3 a^{5} - a^{4} - 20 a^{3} + 5 a^{2} + 31 a - 5\bigr] \)