Elliptic curve isogeny class with LMFDB label 15680.ba (Cremona label 15680cl)

• Label: 15680.ba
• Number of curves: $3$
• Conductor: $15680$
• CM: no
• Rank: $1$

Elliptic curves in class 15680.ba

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
15680.ba1	15680cl3	[0, -1, 0, -25741, -1654309]	[]	41472
15680.ba2	15680cl1	[0, -1, 0, -261, 1891]	[]	4608	\(\Gamma_0(N)\)-optimal
15680.ba3	15680cl2	[0, -1, 0, 1699, -5165]	[]	13824

Rank

The elliptic curves in class 15680.ba have rank \(1\).

Complex multiplication

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

Modular form 15680.2.a.ba

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.

\(\left(\begin{array}{rrr} 1 & 9 & 3 \\ 9 & 1 & 3 \\ 3 & 3 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.