Elliptic curve isogeny class with LMFDB label 208725.x (Cremona label 208725m)

• Label: 208725.x
• Number of curves: $2$
• Conductor: $208725$
• CM: no
• Rank: $1$

Elliptic curves in class 208725.x

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
208725.x1	208725m2	$[1, 0, 0, -73873, 7721462]$	$201333092381/16767$	$3712970410875$	$[2]$	$691200$	$1.4558$
208725.x2	208725m1	$[1, 0, 0, -4298, 137787]$	$-39651821/14283$	$-3162900720375$	$[2]$	$345600$	$1.1092$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 208725.x have rank $1$.

Complex multiplication

The elliptic curves in class 208725.x do not have complex multiplication.

Modular form 208725.2.a.x

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 LMFDB numbering.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.