Elliptic curve isogeny class with LMFDB label 56784.bt (Cremona label 56784cq)

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

Elliptic curves in class 56784.bt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
56784.bt1	56784cq1	\([0, 1, 0, -271708792, 1733637352916]\)	\(-112205650221491190337/745029571313664\)	\(-14729688842579702653648896\)	\([]\)	\(19192320\)	\(3.6649\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 56784.bt1 has rank \(1\).

Complex multiplication

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

Modular form 56784.2.a.bt