Elliptic curve isogeny class with LMFDB label 4080.s (Cremona label 4080ba)

• Label: 4080.s
• Number of curves: $2$
• Conductor: $4080$
• CM: no
• Rank: $0$

Elliptic curves in class 4080.s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4080.s1	4080ba2	$[0, 1, 0, -739096, -244794220]$	$10901014250685308569/1040774054400$	$4263010526822400$	$[2]$	$48384$	$2.0357$
4080.s2	4080ba1	$[0, 1, 0, -42776, -4424556]$	$-2113364608155289/828431400960$	$-3393255018332160$	$[2]$	$24192$	$1.6892$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 4080.s have rank $0$.

Complex multiplication

The elliptic curves in class 4080.s do not have complex multiplication.

Modular form 4080.2.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 LMFDB numbering.

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

Isogeny graph

The vertices are labelled with LMFDB labels.