Elliptic curve isogeny class with LMFDB label 8016.g (Cremona label 8016j)

• Label: 8016.g
• Number of curves: $2$
• Conductor: $8016$
• CM: no
• Rank: $1$

Elliptic curves in class 8016.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8016.g1	8016j2	\([0, 1, 0, -200, 564]\)	\(217081801/83667\)	\(342700032\)	\([2]\)	\(5888\)	\(0.33673\)
8016.g2	8016j1	\([0, 1, 0, 40, 84]\)	\(1685159/1503\)	\(-6156288\)	\([2]\)	\(2944\)	\(-0.0098414\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 8016.g have rank \(1\).

Complex multiplication

The elliptic curves in class 8016.g do not have complex multiplication.

Modular form 8016.2.a.g

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the LMFDB numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.