Elliptic curve isogeny class with Cremona label 3800b (LMFDB label 3800.c)

• Label: 3800b
• Number of curves: $2$
• Conductor: $3800$
• CM: no
• Rank: $0$

Elliptic curves in class 3800b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3800.c2	3800b1	$[0, 1, 0, -15083, 701338]$	$12144109568/130321$	$4072531250000$	$[2]$	$8960$	$1.2352$	$\Gamma_0(N)$-optimal
3800.c1	3800b2	$[0, 1, 0, -240708, 45375088]$	$3084800518928/361$	$180500000000$	$[2]$	$17920$	$1.5818$

Rank

The elliptic curves in class 3800b have rank $0$.

Complex multiplication

The elliptic curves in class 3800b do not have complex multiplication.

Modular form 3800.2.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 Cremona numbering.

$\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with Cremona labels.