Elliptic curve isogeny class with LMFDB label 55545.m (Cremona label 55545e)

• Label: 55545.m
• Number of curves: $1$
• Conductor: $55545$
• CM: no
• Rank: $1$

Elliptic curves in class 55545.m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55545.m1	55545e1	\([0, -1, 1, -1173935, 617639573]\)	\(-338220995109488656384/115404510498046875\)	\(-61048986053466796875\)	\([]\)	\(1370880\)	\(2.5082\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55545.m1 has rank \(1\).

Complex multiplication

The elliptic curves in class 55545.m do not have complex multiplication.

Modular form 55545.2.a.m