Elliptic curve isogeny class with LMFDB label 6045.e (Cremona label 6045f)

• Label: 6045.e
• Number of curves: $1$
• Conductor: $6045$
• CM: no
• Rank: $1$

Elliptic curves in class 6045.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6045.e1	6045f1	\([0, 1, 1, -3621, -180439]\)	\(-5252054436020224/10838181904875\)	\(-10838181904875\)	\([]\)	\(15600\)	\(1.1903\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 6045.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 6045.e do not have complex multiplication.

Modular form 6045.2.a.e