Elliptic curve isogeny class with LMFDB label 121.a (Cremona label 121a)

• Label: 121.a
• Number of curves: $2$
• Conductor: $121$
• CM: no
• Rank: $0$

Elliptic curves in class 121.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
121.a1	121a2	$[1, 1, 1, -305, 7888]$	$-121$	$-25937424601$	$[]$	$66$	$0.68099$
121.a2	121a1	$[1, 1, 1, -30, -76]$	$-24729001$	$-121$	$[]$	$6$	$-0.51796$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 121.a have rank $0$.

Complex multiplication

The elliptic curves in class 121.a do not have complex multiplication.

Modular form 121.2.a.a

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.

$\left(\begin{array}{rr} 1 & 11 \\ 11 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.