Elliptic curve isogeny class with Cremona label 1147a (LMFDB label 1147.b)

• Label: 1147a
• Number of curves: $1$
• Conductor: $1147$
• CM: no
• Rank: $2$

Elliptic curves in class 1147a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1147.b1	1147a1	\([0, -1, 1, -9, 9]\)	\(89915392/35557\)	\(35557\)	\([]\)	\(80\)	\(-0.42835\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1147a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1147a do not have complex multiplication.

Modular form 1147.2.a.a