Elliptic curve isogeny class with LMFDB label 270504.e (Cremona label 270504e)

• Label: 270504.e
• Number of curves: $1$
• Conductor: $270504$
• CM: no
• Rank: $1$

Elliptic curves in class 270504.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
270504.e1	270504e1	\([0, 0, 0, -41259, 3225206]\)	\(36004308772/6591\)	\(1421924834304\)	\([]\)	\(580608\)	\(1.3349\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 270504.e1 has rank \(1\).

Complex multiplication

The elliptic curves in class 270504.e do not have complex multiplication.

Modular form 270504.2.a.e