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-a1	\(\Q(\zeta_{21})^+\)	41	41.1	41.1-a	\( \bigl[a^{3} + a^{2} - 2 a - 1\) , \( -a^{5} + 6 a^{3} - a^{2} - 7 a + 2\) , \( a^{4} + a^{3} - 3 a^{2} - 3 a + 1\) , \( a^{4} + a^{3} - a - 3\) , \( 2 a^{5} + 2 a^{4} - 7 a^{3} - 5 a^{2} + 5 a + 1\bigr] \)
41.1-d1	\(\Q(\zeta_{21})^+\)	41	41.1	41.1-d	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 3 a^{2} + 5 a + 1\) , \( -a^{5} + 4 a^{3} - 2 a^{2} - 2 a + 5\) , \( a^{4} + a^{3} - 4 a^{2} - 3 a + 2\) , \( -a^{5} + 3 a^{4} + a^{3} - 14 a^{2} + 10 a + 7\) , \( -a^{5} + 4 a^{4} + 2 a^{3} - 17 a^{2} + 8 a + 4\bigr] \)