Elliptic curve isogeny class with LMFDB label 54150.cv (Cremona label 54150cr)

• Label: 54150.cv
• Number of curves: $4$
• Conductor: $54150$
• CM: no
• Rank: $0$

Elliptic curves in class 54150.cv

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
54150.cv1	54150cr3	\([1, 0, 0, -3862888, 2921896892]\)	\(8671983378625/82308\)	\(60503943333562500\)	\([2]\)	\(1866240\)	\(2.3824\)
54150.cv2	54150cr4	\([1, 0, 0, -3772638, 3064943142]\)	\(-8078253774625/846825858\)	\(-622494820987357781250\)	\([2]\)	\(3732480\)	\(2.7290\)
54150.cv3	54150cr1	\([1, 0, 0, -72388, -578608]\)	\(57066625/32832\)	\(24134536953000000\)	\([2]\)	\(622080\)	\(1.8331\)	\(\Gamma_0(N)\)-optimal
54150.cv4	54150cr2	\([1, 0, 0, 288612, -4549608]\)	\(3616805375/2105352\)	\(-1547627182111125000\)	\([2]\)	\(1244160\)	\(2.1797\)

Rank

The elliptic curves in class 54150.cv have rank \(0\).

Complex multiplication

The elliptic curves in class 54150.cv do not have complex multiplication.

Modular form 54150.2.a.cv

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.