Elliptic curve isogeny class with Cremona label 5550p (LMFDB label 5550.t)

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

Elliptic curves in class 5550p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5550.t1	5550p1	\([1, 0, 1, -3251, 72398]\)	\(-243087455521/5328000\)	\(-83250000000\)	\([]\)	\(8064\)	\(0.88461\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5550p1 has rank \(1\).

Complex multiplication

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

Modular form 5550.2.a.p