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

• Label: 476850gr
• Number of curves: $2$
• Conductor: $476850$
• CM: no
• Rank: $1$

Elliptic curves in class 476850gr

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
476850.gr2	476850gr1	\([1, 1, 1, -1911163, -51065719]\)	\(2046931732873/1181672448\)	\(445667191390608000000\)	\([2]\)	\(17694720\)	\(2.6517\)	\(\Gamma_0(N)\)-optimal
476850.gr1	476850gr2	\([1, 1, 1, -21563163, -38451073719]\)	\(2940001530995593/8673562656\)	\(3271229954453488500000\)	\([2]\)	\(35389440\)	\(2.9983\)

Rank

The elliptic curves in class 476850gr have rank \(1\).

Complex multiplication

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

Modular form 476850.2.a.gr

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.