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-a1	\(\Q(\zeta_{21})^+\)	41	41.6	41.6-a	\( \bigl[a^{4} - 3 a^{2}\) , \( a^{5} - a^{4} - 4 a^{3} + 5 a^{2} + 3 a - 5\) , \( a^{5} + a^{4} - 4 a^{3} - 2 a^{2} + 2 a - 2\) , \( -2 a^{5} + 13 a^{3} - 3 a^{2} - 21 a + 8\) , \( -a^{4} - a^{3} + 3 a^{2} + 2 a - 1\bigr] \)
41.6-d1	\(\Q(\zeta_{21})^+\)	41	41.6	41.6-d	\( \bigl[a^{3} - 2 a + 1\) , \( -a^{5} + 4 a^{3} - 2 a^{2} - 2 a + 3\) , \( a^{4} - 3 a^{2} + 1\) , \( -2 a^{4} + 2 a^{3} + 4 a^{2} - 6 a + 3\) , \( a^{5} - 3 a^{4} + 5 a^{2} - 4 a + 1\bigr] \)