Elliptic curve isogeny class with LMFDB label 66424.i (Cremona label 66424h)

• Label: 66424.i
• Number of curves: $4$
• Conductor: $66424$
• CM: no
• Rank: $1$

Elliptic curves in class 66424.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
66424.i1	66424h4	$[0, 0, 0, -220571, -35433594]$	$24634706148/2997383$	$144398872503729152$	$[2]$	$472320$	$2.0230$
66424.i2	66424h2	$[0, 0, 0, -54511, 4321170]$	$1487354832/190969$	$2299982041264384$	$[2, 2]$	$236160$	$1.6764$
66424.i3	66424h1	$[0, 0, 0, -52706, 4657261]$	$21511084032/437$	$328944799952$	$[4]$	$118080$	$1.3299$	$\Gamma_0(N)$-optimal
66424.i4	66424h3	$[0, 0, 0, 82669, 22566110]$	$1296970812/5316979$	$-256145368385022976$	$[2]$	$472320$	$2.0230$

Rank

The elliptic curves in class 66424.i have rank $1$.

Complex multiplication

The elliptic curves in class 66424.i do not have complex multiplication.

Modular form 66424.2.a.i

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.