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-a1	\(\Q(\zeta_{21})^+\)	41	41.2	41.2-a	\( \bigl[a^{4} + a^{3} - 4 a^{2} - 2 a + 2\) , \( a^{5} - a^{4} - 5 a^{3} + 4 a^{2} + 4 a - 1\) , \( a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( -a^{5} - 4 a^{4} + 6 a^{3} + 14 a^{2} - 13 a - 2\) , \( -a^{5} - 3 a^{4} + 6 a^{3} + 9 a^{2} - 12 a + 3\bigr] \)
41.2-d1	\(\Q(\zeta_{21})^+\)	41	41.2	41.2-d	\( \bigl[a^{3} + a^{2} - 2 a - 1\) , \( -a^{5} - a^{4} + 5 a^{3} + 4 a^{2} - 5 a - 1\) , \( a^{2} + a - 1\) , \( -a^{5} + 7 a^{3} - 7 a + 1\) , \( 2 a^{5} - 2 a^{4} - 2 a^{3} + 3 a^{2} - 2 a\bigr] \)