Elliptic curve isogeny class with LMFDB label 592.b (Cremona label 592d)

• Label: 592.b
• Number of curves: $1$
• Conductor: $592$
• CM: no
• Rank: $1$

Elliptic curves in class 592.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
592.b1	592d1	\([0, 1, 0, -5, -1]\)	\(65536/37\)	\(9472\)	\([]\)	\(48\)	\(-0.54697\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 592.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 592.b do not have complex multiplication.

Modular form 592.2.a.b