Elliptic curve isogeny class with Cremona label 51842l (LMFDB label 51842.a)

• Label: 51842l
• Number of curves: $1$
• Conductor: $51842$
• CM: no
• Rank: $1$

Elliptic curves in class 51842l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51842.a1	51842l1	\([1, -1, 0, -16283248, 25323236224]\)	\(-97967097/128\)	\(-623844815075147673728\)	\([]\)	\(6955200\)	\(2.8972\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51842l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 51842l do not have complex multiplication.

Modular form 51842.2.a.l