Elliptic curve isogeny class with Cremona label 466752j (LMFDB label 466752.j)

• Label: 466752j
• Number of curves: $4$
• Conductor: $466752$
• CM: no
• Rank: $2$

Elliptic curves in class 466752j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
466752.j3	466752j1	\([0, -1, 0, -42164, 3346518]\)	\(129532710166090048/207347283\)	\(13270226112\)	\([2]\)	\(1146880\)	\(1.2070\)	\(\Gamma_0(N)\)-optimal
466752.j2	466752j2	\([0, -1, 0, -42569, 3279369]\)	\(2082832332478912/80898718329\)	\(331361150275584\)	\([2, 2]\)	\(2293760\)	\(1.5536\)
466752.j4	466752j3	\([0, -1, 0, 18271, 11833473]\)	\(20584340639416/1859925891681\)	\(-60946051618603008\)	\([4]\)	\(4587520\)	\(1.9002\)
466752.j1	466752j4	\([0, -1, 0, -109889, -9578751]\)	\(4478580585645704/1372874803443\)	\(44986361559220224\)	\([2]\)	\(4587520\)	\(1.9002\)

Rank

The elliptic curves in class 466752j have rank \(2\).

Complex multiplication

The elliptic curves in class 466752j do not have complex multiplication.

Modular form 466752.2.a.j

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.

\(\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)\)

Isogeny graph

The vertices are labelled with Cremona labels.