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
43.1-a2	\(\Q(\zeta_{21})^+\)	43	43.1	43.1-a	\( \bigl[a^{2} + a - 2\) , \( a^{4} - 3 a^{2} - a + 1\) , \( a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 2\) , \( -3 a^{3} + a^{2} + 8 a - 2\) , \( -a^{5} - a^{4} + 5 a^{3} + 2 a^{2} - 5 a\bigr] \)
43.1-b2	\(\Q(\zeta_{21})^+\)	43	43.1	43.1-b	\( \bigl[a^{5} - 5 a^{3} + a^{2} + 5 a - 1\) , \( -a^{5} + a^{4} + 6 a^{3} - 6 a^{2} - 9 a + 6\) , \( a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 2\) , \( -2 a^{5} - 2 a^{4} + 9 a^{3} + 4 a^{2} - 8 a + 6\) , \( a^{5} + a^{4} - 5 a^{3} - 5 a^{2} + 3 a + 1\bigr] \)