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-b1	\(\Q(\zeta_{21})^+\)	41	41.3	41.3-b	\( \bigl[a^{4} - 4 a^{2} + a + 3\) , \( a^{5} - 4 a^{3} + a^{2} + a - 2\) , \( a^{4} + a^{3} - 3 a^{2} - 2 a\) , \( -a^{5} - 2 a^{4} + 6 a^{3} + 7 a^{2} - 10 a\) , \( -a^{5} - a^{4} + 6 a^{3} + 3 a^{2} - 10 a\bigr] \)
41.3-c1	\(\Q(\zeta_{21})^+\)	41	41.3	41.3-c	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 1\) , \( -a^{5} - a^{4} + 6 a^{3} + 3 a^{2} - 7 a - 1\) , \( a^{5} + a^{4} - 4 a^{3} - 3 a^{2} + 2 a + 1\) , \( 3 a^{5} + 5 a^{4} - 15 a^{3} - 11 a^{2} + 17 a - 1\) , \( 9 a^{5} + 3 a^{4} - 33 a^{3} - 8 a^{2} + 25 a - 4\bigr] \)