Elliptic Curve Search Results

Refine search

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-a4	\(\Q(\zeta_{7})^+\)	41	41.2	41.2-a	\( \bigl[1\) , \( a + 1\) , \( 1\) , \( -75 a^{2} - 69 a + 35\) , \( -646 a^{2} - 526 a + 340\bigr] \)
1681.4-a4	\(\Q(\zeta_{7})^+\)	1681	1681.4	1681.4-a	\( \bigl[a^{2} + a - 2\) , \( -a^{2} + a + 1\) , \( a^{2} + a - 2\) , \( 70 a^{2} - 267 a - 313\) , \( -2618 a^{2} - 707 a + 4273\bigr] \)
2009.2-a4	\(\Q(\zeta_{7})^+\)	2009	2009.2	2009.2-a	\( \bigl[a^{2} + a - 1\) , \( a^{2} - a - 2\) , \( a^{2} + a - 2\) , \( -1144 a^{2} - 957 a + 588\) , \( 29910 a^{2} + 24148 a - 16393\bigr] \)