Elliptic curve isogeny class with LMFDB label 4851.r (Cremona label 4851i)

• Label: 4851.r
• Number of curves: $1$
• Conductor: $4851$
• CM: no
• Rank: $1$

Elliptic curves in class 4851.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4851.r1	4851i1	\([0, 0, 1, 5145, -515615]\)	\(3584000/29403\)	\(-123567281532387\)	\([]\)	\(20160\)	\(1.3854\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4851.r1 has rank \(1\).

Complex multiplication

The elliptic curves in class 4851.r do not have complex multiplication.

Modular form 4851.2.a.r