Elliptic curve isogeny class with LMFDB label 28749.b (Cremona label 28749f)

• Label: 28749.b
• Number of curves: $4$
• Conductor: $28749$
• CM: no
• Rank: $0$

Elliptic curves in class 28749.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
28749.b1	28749f4	$[1, 0, 0, -3575172, 1185634485]$	$1969718647361977/903077159859$	$2317048918414951016331$	$[2]$	$1313280$	$2.7944$
28749.b2	28749f2	$[1, 0, 0, -1802317, -918744400]$	$252352098250057/3961065969$	$10163011564454475321$	$[2, 2]$	$656640$	$2.4478$
28749.b3	28749f1	$[1, 0, 0, -1795472, -926160273]$	$249487788397177/62937$	$161479123003233$	$[2]$	$328320$	$2.1013$	$\Gamma_0(N)$-optimal
28749.b4	28749f3	$[1, 0, 0, -138982, -2548480033]$	$-115714886617/1093466116323$	$-2805534891996587074107$	$[2]$	$1313280$	$2.7944$

Rank

The elliptic curves in class 28749.b have rank $0$.

Complex multiplication

The elliptic curves in class 28749.b do not have complex multiplication.

Modular form 28749.2.a.b

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.