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
41.3-b2	\(\Q(\zeta_{21})^+\)	41	41.3	41.3-b	\( \bigl[a^{5} + a^{4} - 4 a^{3} - 2 a^{2} + 3 a - 1\) , \( a^{5} - 6 a^{3} + a^{2} + 9 a - 3\) , \( a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 5 a - 2\) , \( 15 a^{5} + 15 a^{4} - 66 a^{3} - 37 a^{2} + 68 a - 10\) , \( 41 a^{5} + 38 a^{4} - 177 a^{3} - 90 a^{2} + 170 a - 26\bigr] \)
41.3-c2	\(\Q(\zeta_{21})^+\)	41	41.3	41.3-c	\( \bigl[a^{4} - 4 a^{2} + a + 3\) , \( -a^{4} + a^{3} + 5 a^{2} - 2 a - 5\) , \( a^{5} - 4 a^{3} + 2 a^{2} + 3 a - 3\) , \( a^{5} + 2 a^{4} - 7 a^{3} - 8 a^{2} + 11 a + 5\) , \( -a^{5} - a^{4} + 6 a^{3} + 3 a^{2} - 9 a - 1\bigr] \)