Elliptic curve isogeny class with Cremona label 312620y (LMFDB label 312620.y)

• Label: 312620y
• Number of curves: $2$
• Conductor: $312620$
• CM: no
• Rank: $0$

Elliptic curves in class 312620y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
312620.y1	312620y1	\([0, -1, 0, -42924065, -108228582538]\)	\(4646415367355940880384/38478378125\)	\(72431083328450000\)	\([2]\)	\(16934400\)	\(2.8229\)	\(\Gamma_0(N)\)-optimal
312620.y2	312620y2	\([0, -1, 0, -42894420, -108385570600]\)	\(-289799689905740628304/835751962890625\)	\(-25171297966622500000000\)	\([2]\)	\(33868800\)	\(3.1695\)

Rank

The elliptic curves in class 312620y have rank \(0\).

Complex multiplication

The elliptic curves in class 312620y do not have complex multiplication.

Modular form 312620.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.