Elliptic curve isogeny class with Cremona label 8400cj (LMFDB label 8400.ci)

• Label: 8400cj
• Number of curves: $2$
• Conductor: $8400$
• CM: no
• Rank: $0$

Elliptic curves in class 8400cj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8400.ci2	8400cj1	\([0, 1, 0, 9792, 33588]\)	\(2595575/1512\)	\(-60480000000000\)	\([]\)	\(25920\)	\(1.3339\)	\(\Gamma_0(N)\)-optimal
8400.ci1	8400cj2	\([0, 1, 0, -140208, 21333588]\)	\(-7620530425/526848\)	\(-21073920000000000\)	\([]\)	\(77760\)	\(1.8832\)

Rank

The elliptic curves in class 8400cj have rank \(0\).

Complex multiplication

The elliptic curves in class 8400cj do not have complex multiplication.

Modular form 8400.2.a.cj

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.

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.