Elliptic curve isogeny class with Cremona label 107712x (LMFDB label 107712.dn)

• Label: 107712x
• Number of curves: $2$
• Conductor: $107712$
• CM: no
• Rank: $2$

Elliptic curves in class 107712x

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
107712.dn2	107712x1	[0, 0, 0, -6924, -179728]	[2]	147456	\(\Gamma_0(N)\)-optimal
107712.dn1	107712x2	[0, 0, 0, -104844, -13066000]	[2]	294912

Rank

The elliptic curves in class 107712x have rank \(2\).

Complex multiplication

The elliptic curves in class 107712x do not have complex multiplication.

Modular form 107712.2.a.x

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.