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-b2	\(\Q(\zeta_{21})^+\)	41	41.6	41.6-b	\( \bigl[a^{5} - 4 a^{3} + 2 a^{2} + 3 a - 4\) , \( a^{4} - a^{3} - 5 a^{2} + 4 a + 5\) , \( a^{3} + a^{2} - 2 a - 2\) , \( 4 a^{5} + 7 a^{4} - 15 a^{3} - 27 a^{2} + 9 a + 20\) , \( 6 a^{5} + 11 a^{4} - 21 a^{3} - 39 a^{2} + 10 a + 22\bigr] \)
41.6-c2	\(\Q(\zeta_{21})^+\)	41	41.6	41.6-c	\( \bigl[a^{3} + a^{2} - 2 a - 2\) , \( a^{5} - 6 a^{3} + a^{2} + 7 a - 1\) , \( a^{4} + a^{3} - 3 a^{2} - 2 a + 1\) , \( -a^{5} + 2 a^{3} - a^{2} + a + 3\) , \( a^{5} + a^{4} - 6 a^{3} - 2 a^{2} + 8 a - 1\bigr] \)