Elliptic curve isogeny class with LMFDB label 388080.ey (Cremona label 388080ey)

• Label: 388080.ey
• Number of curves: $2$
• Conductor: $388080$
• CM: no
• Rank: $1$

Elliptic curves in class 388080.ey

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
388080.ey1	388080ey2	\([0, 0, 0, -1050168, 1138058908]\)	\(-5833703071744/22107421875\)	\(-485393361799500000000\)	\([]\)	\(11943936\)	\(2.6549\)
388080.ey2	388080ey1	\([0, 0, 0, 114072, -37124948]\)	\(7476617216/31444875\)	\(-690407668244448000\)	\([]\)	\(3981312\)	\(2.1056\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 388080.ey have rank \(1\).

Complex multiplication

The elliptic curves in class 388080.ey do not have complex multiplication.

Modular form 388080.2.a.ey

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.