Elliptic curve isogeny class with LMFDB label 262080.eh (Cremona label 262080eh)

• Label: 262080.eh
• Number of curves: $4$
• Conductor: $262080$
• CM: no
• Rank: $1$

Elliptic curves in class 262080.eh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
262080.eh1	262080eh3	\([0, 0, 0, -48672588, 130699754512]\)	\(266912903848829942596/152163375\)	\(7269718450176000\)	\([2]\)	\(11010048\)	\(2.8045\)
262080.eh2	262080eh2	\([0, 0, 0, -3042588, 2041406512]\)	\(260798860029250384/196803140625\)	\(2350604116224000000\)	\([2, 2]\)	\(5505024\)	\(2.4579\)
262080.eh3	262080eh4	\([0, 0, 0, -2412588, 2911058512]\)	\(-32506165579682596/57814914850875\)	\(-2762150571297202176000\)	\([2]\)	\(11010048\)	\(2.8045\)
262080.eh4	262080eh1	\([0, 0, 0, -230088, 17531512]\)	\(1804588288006144/866455078125\)	\(646805250000000000\)	\([2]\)	\(2752512\)	\(2.1113\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 262080.eh have rank \(1\).

Complex multiplication

The elliptic curves in class 262080.eh do not have complex multiplication.

Modular form 262080.2.a.eh

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.