Elliptic curve isogeny class with LMFDB label 2550.f (Cremona label 2550c)

• Label: 2550.f
• Number of curves: $1$
• Conductor: $2550$
• CM: no
• Rank: $1$

Elliptic curves in class 2550.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2550.f1	2550c1	\([1, 1, 0, -48450, 3136500]\)	\(1288009359025/304570368\)	\(2974320000000000\)	\([]\)	\(21840\)	\(1.6806\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2550.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2550.f do not have complex multiplication.

Modular form 2550.2.a.f