Elliptic curve isogeny class with Cremona label 158400fr (LMFDB label 158400.ou)

• Label: 158400fr
• Number of curves: $4$
• Conductor: $158400$
• CM: no
• Rank: $0$

Elliptic curves in class 158400fr

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
158400.ou3	158400fr1	$[0, 0, 0, -4537800, 3720627000]$	$885956203616256/15125$	$176418000000000$	$[2]$	$3538944$	$2.2756$	$\Gamma_0(N)$-optimal
158400.ou2	158400fr2	$[0, 0, 0, -4542300, 3712878000]$	$55537159171536/228765625$	$42693156000000000000$	$[2, 2]$	$7077888$	$2.6221$
158400.ou4	158400fr3	$[0, 0, 0, -2364300, 7280442000]$	$-1957960715364/29541015625$	$-22052250000000000000000$	$[2]$	$14155776$	$2.9687$
158400.ou1	158400fr4	$[0, 0, 0, -6792300, -350622000]$	$46424454082884/26794860125$	$20002255903872000000000$	$[2]$	$14155776$	$2.9687$

Rank

The elliptic curves in class 158400fr have rank $0$.

Complex multiplication

The elliptic curves in class 158400fr do not have complex multiplication.

Modular form 158400.2.a.fr

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 Cremona 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 Cremona labels.