Elliptic curve isogeny class with LMFDB label 5550.z (Cremona label 5550y)

• Label: 5550.z
• Number of curves: $1$
• Conductor: $5550$
• CM: no
• Rank: $1$

Elliptic curves in class 5550.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5550.z1	5550y1	\([1, 1, 1, 37, -5719]\)	\(357911/909312\)	\(-14208000000\)	\([]\)	\(4160\)	\(0.62704\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5550.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5550.z do not have complex multiplication.

Modular form 5550.2.a.z