Elliptic curve isogeny class with LMFDB label 47610.c (Cremona label 47610s)

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

Elliptic curves in class 47610.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
47610.c1	47610s1	\([1, -1, 0, -11562705, -15720912675]\)	\(-443321577260160665089/20407334400000000\)	\(-7869904845350400000000\)	\([]\)	\(4792320\)	\(2.9651\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 47610.c1 has rank \(1\).

Complex multiplication

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

Modular form 47610.2.a.c