Elliptic curve isogeny class with LMFDB label 8100.f (Cremona label 8100e)

• Label: 8100.f
• Number of curves: $2$
• Conductor: $8100$
• CM: no
• Rank: $0$

Elliptic curves in class 8100.f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8100.f1	8100e1	$[0, 0, 0, -975, 11750]$	$-316368$	$-324000000$	$[]$	$3888$	$0.50016$	$\Gamma_0(N)$-optimal
8100.f2	8100e2	$[0, 0, 0, 2025, 60750]$	$432$	$-2125764000000$	$[]$	$11664$	$1.0495$

Rank

The elliptic curves in class 8100.f have rank $0$.

Complex multiplication

The elliptic curves in class 8100.f do not have complex multiplication.

Modular form 8100.2.a.f

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.