Elliptic curve isogeny class with Cremona label 259920b (LMFDB label 259920.b)

• Label: 259920b
• Number of curves: $2$
• Conductor: $259920$
• CM: no
• Rank: $1$

Elliptic curves in class 259920b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
259920.b2	259920b1	$[0, 0, 0, 15162, -294937]$	$702464/475$	$-260652999092400$	$[2]$	$1105920$	$1.4549$	$\Gamma_0(N)$-optimal
259920.b1	259920b2	$[0, 0, 0, -66063, -2455522]$	$3631696/1805$	$15847702344817920$	$[2]$	$2211840$	$1.8014$

Rank

The elliptic curves in class 259920b have rank $1$.

Complex multiplication

The elliptic curves in class 259920b do not have complex multiplication.

Modular form 259920.2.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.