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
41.2-a1	\(\Q(\zeta_{7})^+\)	41	41.2	41.2-a	\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -10 a^{2} - 89 a - 140\) , \( -216 a^{2} - 736 a - 678\bigr] \)
1681.4-a3	\(\Q(\zeta_{7})^+\)	1681	1681.4	1681.4-a	\( \bigl[a^{2} + a - 2\) , \( -a^{2} + a + 1\) , \( a^{2} + a - 2\) , \( 2645 a^{2} - 1272 a - 6863\) , \( -93216 a^{2} + 45529 a + 215128\bigr] \)
2009.2-a1	\(\Q(\zeta_{7})^+\)	2009	2009.2	2009.2-a	\( \bigl[a^{2} + a - 1\) , \( a^{2} - a - 2\) , \( a^{2} + a - 2\) , \( -704 a^{2} - 1192 a - 417\) , \( 23671 a^{2} + 27605 a - 2352\bigr] \)