Elliptic curve isogeny class with LMFDB label 51376.b (Cremona label 51376r)

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

Elliptic curves in class 51376.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51376.b1	51376r1	\([0, 1, 0, 19210, 465739]\)	\(10150866176/7054567\)	\(-544816759787248\)	\([]\)	\(282240\)	\(1.5162\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51376.b1 has rank \(2\).

Complex multiplication

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

Modular form 51376.2.a.b