Elliptic curve isogeny class with LMFDB label 980.e (Cremona label 980f)

• Label: 980.e
• Number of curves: $2$
• Conductor: $980$
• CM: no
• Rank: $0$

Elliptic curves in class 980.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
980.e1	980f1	$[0, -1, 0, -48820, -4138168]$	$-177953104/125$	$-9039207968000$	$[]$	$3024$	$1.4223$	$\Gamma_0(N)$-optimal
980.e2	980f2	$[0, -1, 0, 47220, -17660600]$	$161017136/1953125$	$-141237624500000000$	$[]$	$9072$	$1.9716$

Rank

The elliptic curves in class 980.e have rank $0$.

Complex multiplication

The elliptic curves in class 980.e do not have complex multiplication.

Modular form 980.2.a.e

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.