Elliptic curve isogeny class with Cremona label 53361x (LMFDB label 53361.j)

• Label: 53361x
• Number of curves: $1$
• Conductor: $53361$
• CM: no
• Rank: $1$

Elliptic curves in class 53361x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53361.j1	53361x1	\([0, 0, 1, -124509, 16922848]\)	\(-3469312/3\)	\(-184588161301467\)	\([]\)	\(358848\)	\(1.6638\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 53361x1 has rank \(1\).

Complex multiplication

The elliptic curves in class 53361x do not have complex multiplication.

Modular form 53361.2.a.x