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
41.5-b2	\(\Q(\zeta_{21})^+\)	41	41.5	41.5-b	\( \bigl[a^{5} + a^{4} - 4 a^{3} - 3 a^{2} + 2 a + 1\) , \( a^{5} + a^{4} - 6 a^{3} - 3 a^{2} + 7 a\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a\) , \( -4 a^{5} + 2 a^{4} + 23 a^{3} - 8 a^{2} - 32 a + 6\) , \( -32 a^{5} + 10 a^{4} + 198 a^{3} - 51 a^{2} - 290 a + 44\bigr] \)
41.5-c2	\(\Q(\zeta_{21})^+\)	41	41.5	41.5-c	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 5 a - 1\) , \( -a^{5} + 6 a^{3} - 2 a^{2} - 9 a + 4\) , \( a^{3} + a^{2} - 3 a - 1\) , \( a^{5} + a^{4} - 5 a^{3} - 5 a^{2} + 4 a + 2\) , \( -4 a^{5} - 2 a^{4} + 20 a^{3} + 6 a^{2} - 19 a + 3\bigr] \)