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-a1	\(\Q(\zeta_{21})^+\)	41	41.4	41.4-a	\( \bigl[a^{5} + a^{4} - 4 a^{3} - 2 a^{2} + 2 a - 2\) , \( -a^{3} - a^{2} + 4 a + 1\) , \( a^{4} - 4 a^{2} + 2\) , \( 3 a^{5} + a^{4} - 15 a^{3} - 3 a^{2} + 17 a + 1\) , \( 2 a^{5} - 10 a^{3} + 2 a^{2} + 10 a - 2\bigr] \)
41.4-d1	\(\Q(\zeta_{21})^+\)	41	41.4	41.4-d	\( \bigl[a^{5} - 5 a^{3} + a^{2} + 6 a - 2\) , \( a^{5} - a^{4} - 6 a^{3} + 5 a^{2} + 7 a - 4\) , \( a^{2} + a - 2\) , \( -6 a^{5} + 36 a^{3} - 3 a^{2} - 53 a + 7\) , \( -14 a^{5} + 3 a^{4} + 86 a^{3} - 18 a^{2} - 126 a + 18\bigr] \)