Elliptic curve isogeny class with LMFDB label 3822.a (Cremona label 3822f)

• Label: 3822.a
• Number of curves: $3$
• Conductor: $3822$
• CM: no
• Rank: $0$

Elliptic curves in class 3822.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3822.a1	3822f3	$[1, 1, 0, -1276769, 554763189]$	$-1956469094246217097/36641439744$	$-4310828744441856$	$[]$	$93312$	$2.1244$
3822.a2	3822f2	$[1, 1, 0, -5954, 1691124]$	$-198461344537/10417365504$	$-1225592634180096$	$[]$	$31104$	$1.5751$
3822.a3	3822f1	$[1, 1, 0, 661, -61851]$	$270840023/14329224$	$-1685818874376$	$[]$	$10368$	$1.0258$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 3822.a have rank $0$.

Complex multiplication

The elliptic curves in class 3822.a do not have complex multiplication.

Modular form 3822.2.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.

$\left(\begin{array}{rrr} 1 & 3 & 9 \\ 3 & 1 & 3 \\ 9 & 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.