Elliptic curve isogeny class with Cremona label 273600s (LMFDB label 273600.s)

• Label: 273600s
• Number of curves: $2$
• Conductor: $273600$
• CM: no
• Rank: $1$

Elliptic curves in class 273600s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
273600.s2	273600s1	$[0, 0, 0, 4200, -43000]$	$702464/475$	$-5540400000000$	$[2]$	$589824$	$1.1339$	$\Gamma_0(N)$-optimal
273600.s1	273600s2	$[0, 0, 0, -18300, -358000]$	$3631696/1805$	$336856320000000$	$[2]$	$1179648$	$1.4805$

Rank

The elliptic curves in class 273600s have rank $1$.

Complex multiplication

The elliptic curves in class 273600s do not have complex multiplication.

Modular form 273600.2.a.s

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.