Elliptic curve isogeny class with Cremona label 19600db (LMFDB label 19600.g)

• Label: 19600db
• Number of curves: $2$
• Conductor: $19600$
• CM: no
• Rank: $1$

Elliptic curves in class 19600db

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
19600.g1	19600db1	\([0, 0, 0, -52675, 4653250]\)	\(-5154200289/20\)	\(-62720000000\)	\([]\)	\(69120\)	\(1.2850\)	\(\Gamma_0(N)\)-optimal
19600.g2	19600db2	\([0, 0, 0, 367325, -44150750]\)	\(1747829720511/1280000000\)	\(-4014080000000000000\)	\([]\)	\(483840\)	\(2.2580\)

Rank

The elliptic curves in class 19600db have rank \(1\).

Complex multiplication

The elliptic curves in class 19600db do not have complex multiplication.

Modular form 19600.2.a.db

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.