Elliptic curve isogeny class with Cremona label 8372b (LMFDB label 8372.b)

• Label: 8372b
• Number of curves: $2$
• Conductor: $8372$
• CM: no
• Rank: $1$

Elliptic curves in class 8372b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8372.b2	8372b1	\([0, 1, 0, 23, 0]\)	\(80494592/48139\)	\(-770224\)	\([2]\)	\(1248\)	\(-0.18117\)	\(\Gamma_0(N)\)-optimal
8372.b1	8372b2	\([0, 1, 0, -92, -92]\)	\(340062928/190463\)	\(48758528\)	\([2]\)	\(2496\)	\(0.16541\)

Rank

The elliptic curves in class 8372b have rank \(1\).

Complex multiplication

The elliptic curves in class 8372b do not have complex multiplication.

Modular form 8372.2.a.b

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.