Elliptic curve isogeny class with LMFDB label 4598.k (Cremona label 4598g)

• Label: 4598.k
• Number of curves: $1$
• Conductor: $4598$
• CM: no
• Rank: $0$

Elliptic curves in class 4598.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4598.k1	4598g1	\([1, -1, 0, -5407, 158285]\)	\(-81563625/2432\)	\(-521320798592\)	\([]\)	\(16632\)	\(1.0266\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 4598.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4598.k do not have complex multiplication.

Modular form 4598.2.a.k