Elliptic curve isogeny class with Cremona label 486720l (LMFDB label 486720.l)

• Label: 486720l
• Number of curves: $2$
• Conductor: $486720$
• CM: no
• Rank: $1$

Elliptic curves in class 486720l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
486720.l1	486720l1	\([0, 0, 0, -5490303, -4951563448]\)	\(998800479936/625\)	\(11452859322840000\)	\([2]\)	\(10223616\)	\(2.4017\)	\(\Gamma_0(N)\)-optimal
486720.l2	486720l2	\([0, 0, 0, -5457348, -5013940672]\)	\(-15326915904/390625\)	\(-458114372913600000000\)	\([2]\)	\(20447232\)	\(2.7482\)

Rank

The elliptic curves in class 486720l have rank \(1\).

Complex multiplication

The elliptic curves in class 486720l do not have complex multiplication.

Modular form 486720.2.a.l

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 Cremona numbering.

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.