Elliptic curve isogeny class with Cremona label 51376n (LMFDB label 51376.s)

• Label: 51376n
• Number of curves: $1$
• Conductor: $51376$
• CM: no
• Rank: $2$

Elliptic curves in class 51376n

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51376.s1	51376n1	\([0, 1, 0, 33744, -1075372]\)	\(214921799/150176\)	\(-2969071076900864\)	\([]\)	\(161280\)	\(1.6574\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51376n1 has rank \(2\).

Complex multiplication

The elliptic curves in class 51376n do not have complex multiplication.

Modular form 51376.2.a.n