Elliptic curve isogeny class with LMFDB label 13860.c (Cremona label 13860a)

• Label: 13860.c
• Number of curves: $2$
• Conductor: $13860$
• CM: no
• Rank: $0$

Elliptic curves in class 13860.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
13860.c1	13860a1	\([0, 0, 0, -34368, 2452333]\)	\(10392086293512192/1684375\)	\(727650000\)	\([2]\)	\(24960\)	\(1.1024\)	\(\Gamma_0(N)\)-optimal
13860.c2	13860a2	\([0, 0, 0, -34263, 2468062]\)	\(-643570518871152/8271484375\)	\(-57172500000000\)	\([2]\)	\(49920\)	\(1.4489\)

Rank

The elliptic curves in class 13860.c have rank \(0\).

Complex multiplication

The elliptic curves in class 13860.c do not have complex multiplication.

Modular form 13860.2.a.c

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.