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-b1	\(\Q(\zeta_{21})^+\)	41	41.1	41.1-b	\( \bigl[a^{3} - 2 a + 1\) , \( a^{5} - 5 a^{3} + 6 a - 1\) , \( a^{4} - 4 a^{2} + 3\) , \( 4 a^{5} + 3 a^{4} - 20 a^{3} - 8 a^{2} + 19 a - 4\) , \( 28 a^{5} + 18 a^{4} - 137 a^{3} - 58 a^{2} + 124 a - 19\bigr] \)
41.1-c1	\(\Q(\zeta_{21})^+\)	41	41.1	41.1-c	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 3 a^{2} + 6 a\) , \( -a^{5} + 5 a^{3} - 2 a^{2} - 4 a + 5\) , \( a^{5} - 5 a^{3} + a^{2} + 6 a - 1\) , \( -3 a^{5} - 2 a^{4} + 13 a^{3} + 5 a^{2} - 12 a + 4\) , \( -a^{5} - a^{4} + 5 a^{3} + 2 a^{2} - 5 a + 1\bigr] \)