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 all 3 matches)

Label	Base field	Conductor norm	Conductor label	Isogeny class	Weierstrass coefficients
41.3-a2	\(\Q(\zeta_{7})^+\)	41	41.3	41.3-a	\( \bigl[1\) , \( a^{2} - a - 3\) , \( 0\) , \( -71 a^{2} + 146 a - 43\) , \( -456 a^{2} + 1027 a - 381\bigr] \)
1681.5-a2	\(\Q(\zeta_{7})^+\)	1681	1681.5	1681.5-a	\( \bigl[a^{2} - 1\) , \( a^{2} - a - 1\) , \( a^{2} - 1\) , \( -267 a^{2} + 195 a + 96\) , \( -707 a^{2} + 3324 a - 255\bigr] \)
2009.3-a1	\(\Q(\zeta_{7})^+\)	2009	2009.3	2009.3-a	\( \bigl[a^{2} - 2\) , \( a + 1\) , \( 0\) , \( -957 a^{2} + 2101 a - 741\) , \( 25291 a^{2} - 56714 a + 20237\bigr] \)