Elliptic curve isogeny class with Cremona label 51376p (LMFDB label 51376.e)

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

Elliptic curves in class 51376p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51376.e1	51376p1	\([0, 1, 0, -3605, 82447]\)	\(-4194304/19\)	\(-23477598976\)	\([]\)	\(51840\)	\(0.84154\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51376p1 has rank \(2\).

Complex multiplication

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

Modular form 51376.2.a.p