Elliptic curve isogeny class with Cremona label 162624p (LMFDB label 162624.gj)

• Label: 162624p
• Number of curves: $1$
• Conductor: $162624$
• CM: no
• Rank: $1$

Elliptic curves in class 162624p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
162624.gj1	162624p1	\([0, 1, 0, -205861, 24727811]\)	\(274717696/83349\)	\(292726347734532096\)	\([]\)	\(2027520\)	\(2.0565\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 162624p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 162624p do not have complex multiplication.

Modular form 162624.2.a.p