Elliptic curve isogeny class with LMFDB label 72450.dx (Cremona label 72450ea)

• Label: 72450.dx
• Number of curves: $4$
• Conductor: $72450$
• CM: no
• Rank: $0$

Elliptic curves in class 72450.dx

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
72450.dx1	72450ea4	\([1, -1, 1, -37536980, 88528217397]\)	\(513516182162686336369/1944885031250\)	\(22153456059082031250\)	\([2]\)	\(8626176\)	\(2.9267\)
72450.dx2	72450ea3	\([1, -1, 1, -2380730, 1340717397]\)	\(131010595463836369/7704101562500\)	\(87754531860351562500\)	\([2]\)	\(4313088\)	\(2.5801\)
72450.dx3	72450ea2	\([1, -1, 1, -639230, 21227397]\)	\(2535986675931409/1450751712200\)	\(16524968721778125000\)	\([2]\)	\(2875392\)	\(2.3773\)
72450.dx4	72450ea1	\([1, -1, 1, -414230, -102072603]\)	\(690080604747409/3406760000\)	\(38805125625000000\)	\([2]\)	\(1437696\)	\(2.0308\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 72450.dx have rank \(0\).

Complex multiplication

The elliptic curves in class 72450.dx do not have complex multiplication.

Modular form 72450.2.a.dx

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 3 & 6 \\ 2 & 1 & 6 & 3 \\ 3 & 6 & 1 & 2 \\ 6 & 3 & 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.