Elliptic curve isogeny class with LMFDB label 463680.le (Cremona label 463680le)

• Label: 463680.le
• Number of curves: $2$
• Conductor: $463680$
• CM: no
• Rank: $2$

Elliptic curves in class 463680.le

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
463680.le1	463680le1	\([0, 0, 0, -2389932, -1386122544]\)	\(292583028222603/8456021875\)	\(43631215526707200000\)	\([2]\)	\(13271040\)	\(2.5465\)	\(\Gamma_0(N)\)-optimal
463680.le2	463680le2	\([0, 0, 0, 573588, -4597392816]\)	\(4044759171237/1771943359375\)	\(-9142838530560000000000\)	\([2]\)	\(26542080\)	\(2.8930\)

Rank

The elliptic curves in class 463680.le have rank \(2\).

Complex multiplication

The elliptic curves in class 463680.le do not have complex multiplication.

Modular form 463680.2.a.le

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.