Elliptic curve isogeny class with Cremona label 56316k (LMFDB label 56316.i)

• Label: 56316k
• Number of curves: $2$
• Conductor: $56316$
• CM: no
• Rank: $0$

Elliptic curves in class 56316k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
56316.i2	56316k1	\([0, 1, 0, -1925, -29856]\)	\(1048576/117\)	\(88069889232\)	\([2]\)	\(85536\)	\(0.83312\)	\(\Gamma_0(N)\)-optimal
56316.i1	56316k2	\([0, 1, 0, -7340, 208404]\)	\(3631696/507\)	\(6106178986752\)	\([2]\)	\(171072\)	\(1.1797\)

Rank

The elliptic curves in class 56316k have rank \(0\).

Complex multiplication

The elliptic curves in class 56316k do not have complex multiplication.

Modular form 56316.2.a.k

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.