Elliptic curve isogeny class with Cremona label 476850gj (LMFDB label 476850.gj)

• Label: 476850gj
• Number of curves: $2$
• Conductor: $476850$
• CM: no
• Rank: $0$

Elliptic curves in class 476850gj

LMFDB label	Cremona label	Weierstrass coefficients	Torsion structure	Modular degree	Optimality
476850.gj2	476850gj1	[1, 1, 1, 191312, 28264781]	[2]	7077888	\(\Gamma_0(N)\)-optimal^*
476850.gj1	476850gj2	[1, 1, 1, -1036938, 259175781]	[2]	14155776	\(\Gamma_0(N)\)-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 476850gj1.

Rank

The elliptic curves in class 476850gj have rank \(0\).

Complex multiplication

The elliptic curves in class 476850gj do not have complex multiplication.

Modular form 476850.2.a.gj

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.