Elliptic curve isogeny class with LMFDB label 15600.bz (Cremona label 15600o)

• Label: 15600.bz
• Number of curves: $2$
• Conductor: $15600$
• CM: no
• Rank: $0$

Elliptic curves in class 15600.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15600.bz1	15600o2	\([0, 1, 0, -5008, -136012]\)	\(434163602/7605\)	\(243360000000\)	\([2]\)	\(18432\)	\(0.98134\)
15600.bz2	15600o1	\([0, 1, 0, -8, -6012]\)	\(-4/975\)	\(-15600000000\)	\([2]\)	\(9216\)	\(0.63476\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 15600.bz have rank \(0\).

Complex multiplication

The elliptic curves in class 15600.bz do not have complex multiplication.

Modular form 15600.2.a.bz

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.