Elliptic curve isogeny class with LMFDB label 480960.fb (Cremona label 480960fb)

• Label: 480960.fb
• Number of curves: $2$
• Conductor: $480960$
• CM: no
• Rank: $0$

Elliptic curves in class 480960.fb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
480960.fb1	480960fb2	\([0, 0, 0, -219185292, 1268107303664]\)	\(-6093832136609347161121/108676727597808690\)	\(-20768446065882571737661440\)	\([]\)	\(101154816\)	\(3.6547\)	\(\Gamma_0(N)\)-optimal^*
480960.fb2	480960fb1	\([0, 0, 0, -852492, -1306690576]\)	\(-358531401121921/3652290000000\)	\(-697963488215040000000\)	\([]\)	\(14450688\)	\(2.6818\)	\(\Gamma_0(N)\)-optimal^*

^*optimality has not been determined rigorously for conductors over 400000. In this case the optimal curve is certainly one of the 2 curves highlighted, and conditionally curve 480960.fb1.

Rank

The elliptic curves in class 480960.fb have rank \(0\).

Complex multiplication

The elliptic curves in class 480960.fb do not have complex multiplication.

Modular form 480960.2.a.fb

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.

\(\left(\begin{array}{rr} 1 & 7 \\ 7 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with LMFDB labels.