Elliptic curve isogeny class with LMFDB label 111600.v (Cremona label 111600gf)

• Label: 111600.v
• Number of curves: $2$
• Conductor: $111600$
• CM: no
• Rank: $2$

Elliptic curves in class 111600.v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
111600.v1	111600gf2	\([0, 0, 0, -7455, -247750]\)	\(1964215568/31\)	\(723168000\)	\([2]\)	\(129024\)	\(0.83383\)
111600.v2	111600gf1	\([0, 0, 0, -480, -3625]\)	\(8388608/961\)	\(1401138000\)	\([2]\)	\(64512\)	\(0.48725\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 111600.v have rank \(2\).

Complex multiplication

The elliptic curves in class 111600.v do not have complex multiplication.

Modular form 111600.2.a.v

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.