Elliptic curve isogeny class with LMFDB label 57330.k (Cremona label 57330ba)

• Label: 57330.k
• Number of curves: $1$
• Conductor: $57330$
• CM: no
• Rank: $1$

Elliptic curves in class 57330.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57330.k1	57330ba1	\([1, -1, 0, -39510, 3033666]\)	\(-27279055902727/10156250\)	\(-2539539843750\)	\([]\)	\(199680\)	\(1.3475\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 57330.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 57330.k do not have complex multiplication.

Modular form 57330.2.a.k