Elliptic curve isogeny class with LMFDB label 8550.z (Cremona label 8550v)

• Label: 8550.z
• Number of curves: $1$
• Conductor: $8550$
• CM: no
• Rank: $1$

Elliptic curves in class 8550.z

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8550.z1	8550v1	\([1, -1, 1, 355, 12197]\)	\(272199695/3735552\)	\(-68080435200\)	\([]\)	\(6144\)	\(0.75940\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8550.z1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8550.z do not have complex multiplication.

Modular form 8550.2.a.z