Elliptic curve isogeny class with LMFDB label 84640.w (Cremona label 84640s)

• Label: 84640.w
• Number of curves: $1$
• Conductor: $84640$
• CM: no
• Rank: $0$

Elliptic curves in class 84640.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
84640.w1	84640s1	$[0, -1, 0, 52195, -1155078475]$	$25934336/950546875$	$-576368851668160000000$	$[]$	$2128896$	$2.6625$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 84640.w1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1 - T$
$23$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 - 2 T + 3 T^{2}$	1.3.ac
$7$	$1 - T + 7 T^{2}$	1.7.ab
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - T + 17 T^{2}$	1.17.ab
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$29$	$1 + 5 T + 29 T^{2}$	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 84640.w do not have complex multiplication.

Modular form 84640.2.a.w