Elliptic curve isogeny class with Cremona label 53361r (LMFDB label 53361.d)

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

Elliptic curves in class 53361r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
53361.d1	53361r1	\([0, 0, 1, -1760913, -644053930]\)	\(1216512/343\)	\(170260981985731035861\)	\([]\)	\(1824768\)	\(2.5889\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 53361r1 has rank \(1\).

Complex multiplication

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

Modular form 53361.2.a.r