Elliptic curve isogeny class with LMFDB label 3840.t (Cremona label 3840i)

• Label: 3840.t
• Number of curves: $2$
• Conductor: $3840$
• CM: no
• Rank: $0$

Elliptic curves in class 3840.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3840.t1	3840i2	$[0, 1, 0, -61, 155]$	$778688/45$	$1474560$	$[2]$	$512$	$-0.062445$
3840.t2	3840i1	$[0, 1, 0, -11, -15]$	$314432/75$	$38400$	$[2]$	$256$	$-0.40902$	$\Gamma_0(N)$-optimal

Rank

The elliptic curves in class 3840.t have rank $0$.

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 - 2 T + 7 T^{2}$	1.7.ac
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 - 2 T + 13 T^{2}$	1.13.ac
$17$	$1 + 17 T^{2}$	1.17.a
$19$	$1 + 19 T^{2}$	1.19.a
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 3840.t do not have complex multiplication.

Modular form 3840.2.a.t

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.