Elliptic curve isogeny class with LMFDB label 6762.g (Cremona label 6762b)

• Label: 6762.g
• Number of curves: $4$
• Conductor: $6762$
• CM: no
• Rank: $0$

Elliptic curves in class 6762.g

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6762.g1	6762b4	\([1, 1, 0, -37755, -498147]\)	\(50591419971625/28422890688\)	\(3343924666552512\)	\([2]\)	\(34560\)	\(1.6690\)
6762.g2	6762b2	\([1, 1, 0, -28200, -1834524]\)	\(21081759765625/57132\)	\(6721522668\)	\([2]\)	\(11520\)	\(1.1197\)
6762.g3	6762b1	\([1, 1, 0, -1740, -29952]\)	\(-4956477625/268272\)	\(-31561932528\)	\([2]\)	\(5760\)	\(0.77309\)	\(\Gamma_0(N)\)-optimal
6762.g4	6762b3	\([1, 1, 0, 9285, -55971]\)	\(752329532375/448524288\)	\(-52768433958912\)	\([2]\)	\(17280\)	\(1.3224\)

Rank

The elliptic curves in class 6762.g have rank \(0\).

Complex multiplication

The elliptic curves in class 6762.g do not have complex multiplication.

Modular form 6762.2.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.

\(\left(\begin{array}{rrrr} 1 & 3 & 6 & 2 \\ 3 & 1 & 2 & 6 \\ 6 & 2 & 1 & 3 \\ 2 & 6 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.