Elliptic curve isogeny class with LMFDB label 55545.i (Cremona label 55545b)

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

Elliptic curves in class 55545.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55545.i1	55545b1	\([0, -1, 1, -621011791, -7509852593853]\)	\(-338220995109488656384/115404510498046875\)	\(-9037440922973558807373046875\)	\([]\)	\(31530240\)	\(4.0759\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55545.i1 has rank \(1\).

Complex multiplication

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

Modular form 55545.2.a.i