Elliptic curve isogeny class with Cremona label 5550k (LMFDB label 5550.d)

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

Elliptic curves in class 5550k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5550.d1	5550k1	\([1, 1, 0, -5830, -173900]\)	\(-175362106452317/131292576\)	\(-16411572000\)	\([]\)	\(5760\)	\(0.89334\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5550k1 has rank \(1\).

Complex multiplication

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

Modular form 5550.2.a.k