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-a1	\(\Q(\zeta_{21})^+\)	43	43.1	43.1-a	\( \bigl[a^{2} + a - 2\) , \( a^{4} - 3 a^{2} - a + 1\) , \( a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 2\) , \( -1815 a^{5} + 640 a^{4} + 11287 a^{3} - 3274 a^{2} - 16592 a + 2508\) , \( 61652 a^{5} - 18037 a^{4} - 382582 a^{3} + 96346 a^{2} + 561130 a - 84717\bigr] \)
43.1-b1	\(\Q(\zeta_{21})^+\)	43	43.1	43.1-b	\( \bigl[a^{5} + a^{4} - 5 a^{3} - 2 a^{2} + 6 a - 1\) , \( -a^{5} + a^{4} + 6 a^{3} - 4 a^{2} - 9 a + 2\) , \( 0\) , \( 298 a^{5} - 358 a^{4} - 2027 a^{3} + 1978 a^{2} + 3192 a - 2634\) , \( 22934 a^{5} - 21647 a^{4} - 143434 a^{3} + 125585 a^{2} + 208990 a - 162582\bigr] \)