Elliptic curve isogeny class with LMFDB label 8041.a (Cremona label 8041b)

• Label: 8041.a
• Number of curves: $1$
• Conductor: $8041$
• CM: no
• Rank: $1$

Elliptic curves in class 8041.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8041.a1	8041b1	\([0, 1, 1, -1072, -14872]\)	\(-136368207106048/12090986347\)	\(-12090986347\)	\([]\)	\(9144\)	\(0.67831\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8041.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8041.a do not have complex multiplication.

Modular form 8041.2.a.a