Elliptic curve isogeny class with LMFDB label 6498.p (Cremona label 6498w)

• Label: 6498.p
• Number of curves: $4$
• Conductor: $6498$
• CM: no
• Rank: $0$

Elliptic curves in class 6498.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
6498.p1	6498w3	$[1, -1, 1, -284456516, -1846525107769]$	$74220219816682217473/16416$	$563010478039584$	$[2]$	$691200$	$3.1230$
6498.p2	6498w2	$[1, -1, 1, -17778596, -28848405049]$	$18120364883707393/269485056$	$9242380007497810944$	$[2, 2]$	$345600$	$2.7764$
6498.p3	6498w4	$[1, -1, 1, -17258756, -30615029305]$	$-16576888679672833/2216253521952$	$-76009622006037231510048$	$[2]$	$691200$	$3.1230$
6498.p4	6498w1	$[1, -1, 1, -1143716, -422722105]$	$4824238966273/537919488$	$18448727344401088512$	$[4]$	$172800$	$2.4298$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 6498.p have rank $0$.

Complex multiplication

The elliptic curves in class 6498.p do not have complex multiplication.

Modular form 6498.2.a.p

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.