Elliptic curve isogeny class with LMFDB label 332010.eh (Cremona label 332010eh)

• Label: 332010.eh
• Number of curves: $4$
• Conductor: $332010$
• CM: no
• Rank: $0$

Elliptic curves in class 332010.eh

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
332010.eh1	332010eh4	$[1, -1, 1, -4438247, -3177501109]$	$13262655736458056369449/1687849747327022580$	$1230442465801399460820$	$[2]$	$18350080$	$2.7759$
332010.eh2	332010eh2	$[1, -1, 1, -1118147, 404222771]$	$212076490729573807849/26036036269059600$	$18980270440144448400$	$[2, 2]$	$9175040$	$2.4293$
332010.eh3	332010eh1	$[1, -1, 1, -1082867, 433984979]$	$192628775813900462569/3542105790720$	$2582195121434880$	$[4]$	$4587520$	$2.0827$	$\Gamma_0(N)$-optimal
332010.eh4	332010eh3	$[1, -1, 1, 1637473, 2080741979]$	$666068469803369686871/2952087953560672500$	$-2152072118145730252500$	$[2]$	$18350080$	$2.7759$

Rank

The elliptic curves in class 332010.eh have rank $0$.

Complex multiplication

The elliptic curves in class 332010.eh do not have complex multiplication.

Modular form 332010.2.a.eh

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.

$\left(\begin{array}{rrrr} 1 & 2 & 4 & 4 \\ 2 & 1 & 2 & 2 \\ 4 & 2 & 1 & 4 \\ 4 & 2 & 4 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.