Elliptic curve isogeny class with LMFDB label 29988.l (Cremona label 29988bm)

• Label: 29988.l
• Number of curves: $2$
• Conductor: $29988$
• CM: no
• Rank: $1$

Elliptic curves in class 29988.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29988.l1	29988bm2	$[0, 0, 0, -97671, -11747554]$	$1609752103216/210681$	$13486118913792$	$[2]$	$92160$	$1.5396$
29988.l2	29988bm1	$[0, 0, 0, -6636, -149695]$	$8077950976/2255067$	$9021963810384$	$[2]$	$46080$	$1.1931$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 29988.l have rank $1$.

Complex multiplication

The elliptic curves in class 29988.l do not have complex multiplication.

Modular form 29988.2.a.l

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.