Elliptic curve isogeny class with Cremona label 1800h (LMFDB label 1800.c)

• Label: 1800h
• Number of curves: $4$
• Conductor: $1800$
• CM: no
• Rank: $0$

Elliptic curves in class 1800h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1800.c4	1800h1	$[0, 0, 0, 825, 4250]$	$21296/15$	$-43740000000$	$[2]$	$1536$	$0.73028$	$\Gamma_0(N)$-optimal
1800.c3	1800h2	$[0, 0, 0, -3675, 35750]$	$470596/225$	$2624400000000$	$[2, 2]$	$3072$	$1.0769$
1800.c2	1800h3	$[0, 0, 0, -30675, -2043250]$	$136835858/1875$	$43740000000000$	$[2]$	$6144$	$1.4234$
1800.c1	1800h4	$[0, 0, 0, -48675, 4130750]$	$546718898/405$	$9447840000000$	$[2]$	$6144$	$1.4234$

Rank

The elliptic curves in class 1800h have rank $0$.

Complex multiplication

The elliptic curves in class 1800h do not have complex multiplication.

Modular form 1800.2.a.h

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.