Elliptic curve isogeny class with LMFDB label 51842.b (Cremona label 51842k)

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

Elliptic curves in class 51842.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51842.b1	51842k1	\([1, -1, 0, -30781, -2073275]\)	\(-97967097/128\)	\(-4214145767552\)	\([]\)	\(302400\)	\(1.3294\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51842.b1 has rank \(1\).

Complex multiplication

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

Modular form 51842.2.a.b