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
41.5-a1	\(\Q(\zeta_{21})^+\)	41	41.5	41.5-a	\( \bigl[a^{5} + a^{4} - 4 a^{3} - 2 a^{2} + 3 a - 1\) , \( -a^{4} + a^{3} + 4 a^{2} - 2 a - 1\) , \( a^{5} - 4 a^{3} + a^{2} + 3 a - 2\) , \( 17 a^{5} + 13 a^{4} - 68 a^{3} - 31 a^{2} + 59 a - 8\) , \( 42 a^{5} + 54 a^{4} - 196 a^{3} - 123 a^{2} + 199 a - 27\bigr] \)
41.5-d1	\(\Q(\zeta_{21})^+\)	41	41.5	41.5-d	\( \bigl[a^{5} - 4 a^{3} + 2 a^{2} + 2 a - 4\) , \( a^{5} - a^{4} - 4 a^{3} + 6 a^{2} + a - 7\) , \( a^{5} - 5 a^{3} + a^{2} + 6 a - 2\) , \( 6 a^{5} - 6 a^{4} - 32 a^{3} + 31 a^{2} + 35 a - 26\) , \( 4 a^{5} - 5 a^{4} - 20 a^{3} + 25 a^{2} + 18 a - 20\bigr] \)