Elliptic curve isogeny class with LMFDB label 69360.dy (Cremona label 69360bs)

• Label: 69360.dy
• Number of curves: $2$
• Conductor: $69360$
• CM: no
• Rank: $1$

Elliptic curves in class 69360.dy

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
69360.dy1	69360bs2	\([0, 1, 0, -126100, -17185492]\)	\(7304528/45\)	\(1366132337245440\)	\([2]\)	\(522240\)	\(1.7425\)
69360.dy2	69360bs1	\([0, 1, 0, -3275, -579552]\)	\(-2048/75\)	\(-142305451796400\)	\([2]\)	\(261120\)	\(1.3960\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 69360.dy have rank \(1\).

Complex multiplication

The elliptic curves in class 69360.dy do not have complex multiplication.

Modular form 69360.2.a.dy

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.