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
41.6-b1	\(\Q(\zeta_{21})^+\)	41	41.6	41.6-b	\( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( a^{5} - 6 a^{3} + 8 a - 1\) , \( a + 1\) , \( a^{5} - 11 a^{3} + 26 a - 3\) , \( -4 a^{5} + 14 a^{4} + 3 a^{3} - 53 a^{2} + 49 a - 8\bigr] \)
41.6-c1	\(\Q(\zeta_{21})^+\)	41	41.6	41.6-c	\( \bigl[a^{5} - 4 a^{3} + 2 a^{2} + 3 a - 4\) , \( a^{5} - a^{4} - 6 a^{3} + 6 a^{2} + 7 a - 7\) , \( a^{3} - 3 a\) , \( -a^{5} + 3 a^{4} + 11 a^{3} - 9 a^{2} - 22 a + 5\) , \( 6 a^{5} + 2 a^{4} - 31 a^{3} - 2 a^{2} + 37 a - 6\bigr] \)