Elliptic curve isogeny class with Cremona label 100800mb (LMFDB label 100800.gj)

• Label: 100800mb
• Number of curves: $4$
• Conductor: $100800$
• CM: no
• Rank: $1$

Elliptic curves in class 100800mb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
100800.gj3	100800mb1	$[0, 0, 0, -64200, -6001000]$	$2508888064/118125$	$1377810000000000$	$[2]$	$589824$	$1.6657$	$\Gamma_0(N)$-optimal
100800.gj2	100800mb2	$[0, 0, 0, -176700, 20774000]$	$3269383504/893025$	$166659897600000000$	$[2, 2]$	$1179648$	$2.0123$
100800.gj4	100800mb3	$[0, 0, 0, 453300, 135434000]$	$13799183324/18600435$	$-13885150325760000000$	$[2]$	$2359296$	$2.3589$
100800.gj1	100800mb4	$[0, 0, 0, -2606700, 1619714000]$	$2624033547076/324135$	$241965480960000000$	$[2]$	$2359296$	$2.3589$

Rank

The elliptic curves in class 100800mb have rank $1$.

Complex multiplication

The elliptic curves in class 100800mb do not have complex multiplication.

Modular form 100800.2.a.mb

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.