Elliptic curve isogeny class with LMFDB label 29760.bz (Cremona label 29760cj)

• Label: 29760.bz
• Number of curves: $4$
• Conductor: $29760$
• CM: no
• Rank: $0$

Elliptic curves in class 29760.bz

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
29760.bz1	29760cj4	$[0, 1, 0, -26561, -1674945]$	$15811147933922/1016955$	$133294325760$	$[2]$	$49152$	$1.1922$
29760.bz2	29760cj3	$[0, 1, 0, -8961, 303615]$	$607199886722/41558445$	$5447148503040$	$[2]$	$49152$	$1.1922$
29760.bz3	29760cj2	$[0, 1, 0, -1761, -23265]$	$9220796644/1946025$	$127534694400$	$[2, 2]$	$24576$	$0.84561$
29760.bz4	29760cj1	$[0, 1, 0, 239, -2065]$	$91765424/174375$	$-2856960000$	$[2]$	$12288$	$0.49904$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 29760.bz have rank $0$.

Complex multiplication

The elliptic curves in class 29760.bz do not have complex multiplication.

Modular form 29760.2.a.bz

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.

$\left(\begin{array}{rrrr} 1 & 4 & 2 & 4 \\ 4 & 1 & 2 & 4 \\ 2 & 2 & 1 & 2 \\ 4 & 4 & 2 & 1 \end{array}\right)$

Isogeny graph

The vertices are labelled with LMFDB labels.