Elliptic curve isogeny class with LMFDB label 44688.k (Cremona label 44688bt)

• Label: 44688.k
• Number of curves: $1$
• Conductor: $44688$
• CM: no
• Rank: $1$

Elliptic curves in class 44688.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
44688.k1	44688bt1	\([0, -1, 0, 51204984, -113067598608]\)	\(628805222251722551/597713542447104\)	\(-14113585673062840673501184\)	\([]\)	\(9483264\)	\(3.5129\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 44688.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 44688.k do not have complex multiplication.

Modular form 44688.2.a.k