Elliptic curve isogeny class with LMFDB label 16560.a (Cremona label 16560bn)

• Label: 16560.a
• Number of curves: $2$
• Conductor: $16560$
• CM: no
• Rank: $1$

Elliptic curves in class 16560.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
16560.a1	16560bn2	\([0, 0, 0, -34923, -2510822]\)	\(1577505447721/838350\)	\(2503299686400\)	\([2]\)	\(55296\)	\(1.3288\)
16560.a2	16560bn1	\([0, 0, 0, -1803, -53318]\)	\(-217081801/285660\)	\(-852976189440\)	\([2]\)	\(27648\)	\(0.98223\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 16560.a have rank \(1\).

Complex multiplication

The elliptic curves in class 16560.a do not have complex multiplication.

Modular form 16560.2.a.a

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.