Elliptic curve isogeny class with LMFDB label 5684.k (Cremona label 5684h)

• Label: 5684.k
• Number of curves: $1$
• Conductor: $5684$
• CM: no
• Rank: $1$

Elliptic curves in class 5684.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5684.k1	5684h1	\([0, 0, 0, -236719, 44330006]\)	\(-48707390098512/29\)	\(-873426176\)	\([]\)	\(34560\)	\(1.4738\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5684.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5684.k do not have complex multiplication.

Modular form 5684.2.a.k