Elliptic curve isogeny class with Cremona label 4080l (LMFDB label 4080.u)

• Label: 4080l
• Number of curves: $4$
• Conductor: $4080$
• CM: no
• Rank: $0$

Elliptic curves in class 4080l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4080.u3	4080l1	$[0, 1, 0, -951, -9576]$	$5951163357184/1129312125$	$18068994000$	$[2]$	$3456$	$0.68569$	$\Gamma_0(N)$-optimal
4080.u2	4080l2	$[0, 1, 0, -4596, 109980]$	$41948679809104/3291890625$	$842724000000$	$[2, 2]$	$6912$	$1.0323$
4080.u1	4080l3	$[0, 1, 0, -72096, 7426980]$	$40472803590982276/281883375$	$288648576000$	$[2]$	$13824$	$1.3788$
4080.u4	4080l4	$[0, 1, 0, 4584, 502884]$	$10400706415004/112060546875$	$-114750000000000$	$[2]$	$13824$	$1.3788$

Rank

The elliptic curves in class 4080l have rank $0$.

Complex multiplication

The elliptic curves in class 4080l do not have complex multiplication.

Modular form 4080.2.a.l

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.