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
1.1-a5	\(\Q(\zeta_{21})^+\)	1	1.1	1.1-a	\( \bigl[0\) , \( a^{4} - 3 a^{2} + a + 1\) , \( a^{5} - 4 a^{3} + a^{2} + 2 a - 2\) , \( a^{5} + a^{4} - 4 a^{3} - 2 a^{2} + 3 a\) , \( a^{5} - 6 a^{3} + 2 a^{2} + 9 a - 6\bigr] \)
1.1-a6	\(\Q(\zeta_{21})^+\)	1	1.1	1.1-a	\( \bigl[0\) , \( -a^{5} + a^{4} + 6 a^{3} - 4 a^{2} - 9 a + 1\) , \( a^{5} - 5 a^{3} + a^{2} + 5 a - 1\) , \( 2 a^{5} - a^{4} - 13 a^{3} + 5 a^{2} + 20 a - 3\) , \( -2 a^{5} + a^{4} + 11 a^{3} - 5 a^{2} - 13 a + 2\bigr] \)