Elliptic curve isogeny class with Cremona label 141120jb (LMFDB label 141120.ln)

• Label: 141120jb
• Number of curves: $4$
• Conductor: $141120$
• CM: no
• Rank: $0$

Elliptic curves in class 141120jb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141120.ln4	141120jb1	$[0, 0, 0, 6468, -93296]$	$21296/15$	$-21077881896960$	$[2]$	$294912$	$1.2451$	$\Gamma_0(N)$-optimal
141120.ln3	141120jb2	$[0, 0, 0, -28812, -784784]$	$470596/225$	$1264672913817600$	$[2, 2]$	$589824$	$1.5917$
141120.ln2	141120jb3	$[0, 0, 0, -240492, 44853424]$	$136835858/1875$	$21077881896960000$	$[2]$	$1179648$	$1.9382$
141120.ln1	141120jb4	$[0, 0, 0, -381612, -90678224]$	$546718898/405$	$4552822489743360$	$[2]$	$1179648$	$1.9382$

Rank

The elliptic curves in class 141120jb have rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$5$	$1 - T$
$7$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$11$	$1 + 4 T + 11 T^{2}$	1.11.e
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - 2 T + 17 T^{2}$	1.17.ac
$19$	$1 - 2 T + 19 T^{2}$	1.19.ac
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 - 4 T + 29 T^{2}$	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 141120jb do not have complex multiplication.

Modular form 141120.2.a.jb

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 Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.