Elliptic curve isogeny class with Cremona label 56784bp (LMFDB label 56784.n)

• Label: 56784bp
• Number of curves: $1$
• Conductor: $56784$
• CM: no
• Rank: $1$

Elliptic curves in class 56784bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
56784.n1	56784bp1	\([0, -1, 0, -742096, -266048576]\)	\(-5022437771811277/497757560832\)	\(-4479276487261814784\)	\([]\)	\(988416\)	\(2.3194\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 56784bp1 has rank \(1\).

Complex multiplication

The elliptic curves in class 56784bp do not have complex multiplication.

Modular form 56784.2.a.bp