Elliptic curve isogeny class with LMFDB label 8112.bd (Cremona label 8112be)

• Label: 8112.bd
• Number of curves: $1$
• Conductor: $8112$
• CM: no
• Rank: $1$

Elliptic curves in class 8112.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8112.bd1	8112be1	\([0, 1, 0, -11717, 1134303]\)	\(-851968/2187\)	\(-456704790227712\)	\([]\)	\(26208\)	\(1.5006\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8112.bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 8112.bd do not have complex multiplication.

Modular form 8112.2.a.bd