Elliptic curve isogeny class with LMFDB label 55545.j (Cremona label 55545a)

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

Elliptic curves in class 55545.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
55545.j1	55545a1	\([0, -1, 1, -18691, 985032]\)	\(2580674412544/14467005\)	\(4048461146205\)	\([]\)	\(107520\)	\(1.2614\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 55545.j1 has rank \(1\).

Complex multiplication

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

Modular form 55545.2.a.j