Elliptic curve isogeny class with LMFDB label 1137.a (Cremona label 1137a)

• Label: 1137.a
• Number of curves: $1$
• Conductor: $1137$
• CM: no
• Rank: $2$

Elliptic curves in class 1137.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1137.a1	1137a1	\([1, 1, 1, -2, 2]\)	\(-912673/3411\)	\(-3411\)	\([]\)	\(72\)	\(-0.63644\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1137.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1137.a do not have complex multiplication.

Modular form 1137.2.a.a