Elliptic curve isogeny class with LMFDB label 540.e (Cremona label 540e)

• Label: 540.e
• Number of curves: $2$
• Conductor: $540$
• CM: no
• Rank: $0$

Elliptic curves in class 540.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
540.e1	540e1	$[0, 0, 0, -72, -236]$	$-5971968/25$	$-172800$	$[]$	$72$	$-0.14004$	$\Gamma_0(N)$-optimal
540.e2	540e2	$[0, 0, 0, 168, -1244]$	$8429568/15625$	$-972000000$	$[3]$	$216$	$0.40927$

Rank

The elliptic curves in class 540.e have rank $0$.

Complex multiplication

The elliptic curves in class 540.e do not have complex multiplication.

Modular form 540.2.a.e

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.

$\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.