Elliptic curve isogeny class with Cremona label 13680ba (LMFDB label 13680.w)

• Label: 13680ba
• Number of curves: $2$
• Conductor: $13680$
• CM: no
• Rank: $1$

Elliptic curves in class 13680ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
13680.w2	13680ba1	\([0, 0, 0, -3, -4862]\)	\(-1/3420\)	\(-10212065280\)	\([2]\)	\(9216\)	\(0.59945\)	\(\Gamma_0(N)\)-optimal
13680.w1	13680ba2	\([0, 0, 0, -4323, -107678]\)	\(2992209121/54150\)	\(161691033600\)	\([2]\)	\(18432\)	\(0.94603\)

Rank

The elliptic curves in class 13680ba have rank \(1\).

Complex multiplication

The elliptic curves in class 13680ba do not have complex multiplication.

Modular form 13680.2.a.ba

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.