Elliptic curve isogeny class with LMFDB label 4788.c (Cremona label 4788b)

• Label: 4788.c
• Number of curves: $2$
• Conductor: $4788$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 4788.c have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$7$	$1 + T$
$19$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 + 5 T^{2}$	1.5.a
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 - 6 T + 13 T^{2}$	1.13.ag
$17$	$1 - 8 T + 17 T^{2}$	1.17.ai
$23$	$1 - 2 T + 23 T^{2}$	1.23.ac
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 4788.c do not have complex multiplication.

Modular form 4788.2.a.c

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.

Elliptic curves in class 4788.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
4788.c1	4788b2	$[0, 0, 0, -13215, 410006]$	$1367595682000/402300927$	$75079008200448$	$[2]$	$13824$	$1.3683$
4788.c2	4788b1	$[0, 0, 0, 2220, 42653]$	$103737344000/127413867$	$-1486155344688$	$[2]$	$6912$	$1.0217$	$\Gamma_0(N)$-optimal