Elliptic curve isogeny class with LMFDB label 20070.ba (Cremona label 20070w)

• Label: 20070.ba
• Number of curves: $2$
• Conductor: $20070$
• CM: no
• Rank: $0$

Elliptic curves in class 20070.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20070.ba1	20070w1	$[1, -1, 1, -14528, 661987]$	$17227485284283/456704000$	$8989304832000$	$[2]$	$74592$	$1.2667$	$\Gamma_0(N)$-optimal
20070.ba2	20070w2	$[1, -1, 1, 2752, 2127331]$	$117145509957/99458000000$	$-1957631814000000$	$[2]$	$149184$	$1.6132$

Rank

The elliptic curves in class 20070.ba have rank $0$.

Complex multiplication

The elliptic curves in class 20070.ba do not have complex multiplication.

Modular form 20070.2.a.ba

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.