Elliptic curve isogeny class with LMFDB label 47610.b (Cremona label 47610r)

• Label: 47610.b
• Number of curves: $1$
• Conductor: $47610$
• CM: no
• Rank: $1$

Elliptic curves in class 47610.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
47610.b1	47610r1	\([1, -1, 0, -52470, 819238900]\)	\(-529/9600\)	\(-289919296077601161600\)	\([]\)	\(1978368\)	\(2.6052\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 47610.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 47610.b do not have complex multiplication.

Modular form 47610.2.a.b