Elliptic curve isogeny class with LMFDB label 51800.k (Cremona label 51800u)

• Label: 51800.k
• Number of curves: $1$
• Conductor: $51800$
• CM: no
• Rank: $1$

Elliptic curves in class 51800.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
51800.k1	51800u1	\([0, 0, 0, 85, -250]\)	\(265302/259\)	\(-66304000\)	\([]\)	\(11648\)	\(0.18784\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 51800.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 51800.k do not have complex multiplication.

Modular form 51800.2.a.k