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
41.1-b2	\(\Q(\zeta_{21})^+\)	41	41.1	41.1-b	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 3 a^{2} + 6 a\) , \( a^{5} - a^{4} - 5 a^{3} + 5 a^{2} + 5 a - 4\) , \( a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( -a^{4} + a^{3} + 2 a^{2} - 4 a + 3\) , \( -a^{4} + 3 a^{2} - a - 1\bigr] \)
41.1-c2	\(\Q(\zeta_{21})^+\)	41	41.1	41.1-c	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 2\) , \( a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 4 a - 3\) , \( a^{3} - 3 a\) , \( 8 a^{5} + 3 a^{4} - 45 a^{3} - 2 a^{2} + 62 a - 8\) , \( -4 a^{5} + 9 a^{4} + 37 a^{3} - 30 a^{2} - 71 a + 11\bigr] \)