Elliptic curve isogeny class with Cremona label 15680x (LMFDB label 15680.k)

• Label: 15680x
• Number of curves: $2$
• Conductor: $15680$
• CM: no
• Rank: $2$

Elliptic curves in class 15680x

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
15680.k2	15680x1	[0, 1, 0, 159, 895]	[2]	6144	\(\Gamma_0(N)\)-optimal
15680.k1	15680x2	[0, 1, 0, -961, 7839]	[2]	12288

Rank

The elliptic curves in class 15680x have rank \(2\).

Complex multiplication

The elliptic curves in class 15680x do not have complex multiplication.

Modular form 15680.2.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.