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-a1	\(\Q(\zeta_{21})^+\)	1	1.1	1.1-a	\( \bigl[0\) , \( -a^{4} + 3 a^{2} - a - 1\) , \( a^{5} - 4 a^{3} + a^{2} + 2 a - 2\) , \( 171 a^{5} + 81 a^{4} - 934 a^{3} - 192 a^{2} + 1093 a - 400\) , \( -1717 a^{5} - 882 a^{4} + 9032 a^{3} + 2384 a^{2} - 9721 a + 2928\bigr] \)
1.1-a2	\(\Q(\zeta_{21})^+\)	1	1.1	1.1-a	\( \bigl[0\) , \( a^{4} - 3 a^{2} + a + 1\) , \( a^{5} - 4 a^{3} + a^{2} + 2 a - 2\) , \( 681 a^{5} - 1179 a^{4} - 4774 a^{3} + 5988 a^{2} + 7513 a - 6850\) , \( 23972 a^{5} - 32308 a^{4} - 159295 a^{3} + 171151 a^{2} + 242140 a - 203233\bigr] \)