Elliptic curve isogeny class with Cremona label 382200f (LMFDB label 382200.f)

• Label: 382200f
• Number of curves: $2$
• Conductor: $382200$
• CM: no
• Rank: $1$

Elliptic curves in class 382200f

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
382200.f2	382200f1	$[0, -1, 0, 136792, 8132412]$	$1203052/819$	$-192709062000000000$	$[2]$	$5038080$	$2.0053$	$\Gamma_0(N)$-optimal
382200.f1	382200f2	$[0, -1, 0, -598208, 68402412]$	$50307514/24843$	$11691016428000000000$	$[2]$	$10076160$	$2.3519$

Rank

The elliptic curves in class 382200f have rank $1$.

Complex multiplication

The elliptic curves in class 382200f do not have complex multiplication.

Modular form 382200.2.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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.