Elliptic curve isogeny class with LMFDB label 212121.y (Cremona label 212121y)

• Label: 212121.y
• Number of curves: $2$
• Conductor: $212121$
• CM: no
• Rank: $0$

Elliptic curves in class 212121.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
212121.y1	212121y1	$[1, -1, 0, -30585, 1262008]$	$996105067803/362467651$	$1151386830157473$	$[2]$	$1437696$	$1.5904$	$\Gamma_0(N)$-optimal
212121.y2	212121y2	$[1, -1, 0, 93630, 8839123]$	$28576837742517/27219390289$	$-86463019298985147$	$[2]$	$2875392$	$1.9370$

Rank

The elliptic curves in class 212121.y have rank $0$.

Complex multiplication

The elliptic curves in class 212121.y do not have complex multiplication.

Modular form 212121.2.a.y

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.