Elliptic curve isogeny class with Cremona label 15680bl (LMFDB label 15680.h)

• Label: 15680bl
• Number of curves: $2$
• Conductor: $15680$
• CM: no
• Rank: $0$

Elliptic curves in class 15680bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15680.h1	15680bl1	\([0, 0, 0, -412972, 102148144]\)	\(-5154200289/20\)	\(-30224159866880\)	\([]\)	\(161280\)	\(1.7999\)	\(\Gamma_0(N)\)-optimal
15680.h2	15680bl2	\([0, 0, 0, 2879828, -969197264]\)	\(1747829720511/1280000000\)	\(-1934346231480320000000\)	\([]\)	\(1128960\)	\(2.7728\)

Rank

The elliptic curves in class 15680bl have rank \(0\).

Complex multiplication

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

Modular form 15680.2.a.bl

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.