Elliptic curve isogeny class with LMFDB label 8784.w (Cremona label 8784t)

• Label: 8784.w
• Number of curves: $1$
• Conductor: $8784$
• CM: no
• Rank: $1$

Elliptic curves in class 8784.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8784.w1	8784t1	\([0, 0, 0, -291, 2018]\)	\(-912673/61\)	\(-182145024\)	\([]\)	\(3072\)	\(0.33699\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8784.w1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8784.w do not have complex multiplication.

Modular form 8784.2.a.w