Elliptic curve isogeny class with LMFDB label 380880.y (Cremona label 380880y)

• Label: 380880.y
• Number of curves: $2$
• Conductor: $380880$
• CM: no
• Rank: $0$

Elliptic curves in class 380880.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
380880.y1	380880y2	\([0, 0, 0, -8838003, -9703255502]\)	\(172715635009/7935000\)	\(3507530236099522560000\)	\([2]\)	\(19464192\)	\(2.8957\)
380880.y2	380880y1	\([0, 0, 0, 303117, -578589518]\)	\(6967871/331200\)	\(-146401262028501811200\)	\([2]\)	\(9732096\)	\(2.5492\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 380880.y have rank \(0\).

Complex multiplication

The elliptic curves in class 380880.y do not have complex multiplication.

Modular form 380880.2.a.y

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.