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-b2	\(\Q(\zeta_{21})^+\)	41	41.2	41.2-b	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 3 a^{2} + 5 a + 1\) , \( -a^{5} + a^{4} + 6 a^{3} - 6 a^{2} - 8 a + 6\) , \( a^{5} - 5 a^{3} + 2 a^{2} + 5 a - 3\) , \( -3 a^{5} - a^{4} + 19 a^{3} - 4 a^{2} - 27 a + 15\) , \( a^{5} - 8 a^{4} + 8 a^{3} + 14 a^{2} - 20 a + 6\bigr] \)
41.2-c2	\(\Q(\zeta_{21})^+\)	41	41.2	41.2-c	\( \bigl[a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( a^{4} - a^{3} - 5 a^{2} + 3 a + 4\) , \( a^{5} + a^{4} - 4 a^{3} - 3 a^{2} + 2 a\) , \( -2 a^{4} - a^{3} + 8 a^{2} + a - 3\) , \( a^{4} - a^{3} - 4 a^{2} + 3 a\bigr] \)