Elliptic curve isogeny class with LMFDB label 66150.el (Cremona label 66150be)

• Label: 66150.el
• Number of curves: $2$
• Conductor: $66150$
• CM: no
• Rank: $0$

Elliptic curves in class 66150.el

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
66150.el1	66150be2	\([1, -1, 0, -1755042, 895536116]\)	\(-16522921323/4000\)	\(-144730329187500000\)	\([]\)	\(1555200\)	\(2.2816\)
66150.el2	66150be1	\([1, -1, 0, 8958, 4324116]\)	\(1601613/163840\)	\(-8131898880000000\)	\([]\)	\(518400\)	\(1.7323\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curves in class 66150.el have rank \(0\).

Complex multiplication

The elliptic curves in class 66150.el do not have complex multiplication.

Modular form 66150.2.a.el

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.

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

Isogeny graph

The vertices are labelled with LMFDB labels.