Elliptic curve isogeny class with Cremona label 5547d (LMFDB label 5547.c)

• Label: 5547d
• Number of curves: $1$
• Conductor: $5547$
• CM: no
• Rank: $1$

Rank

The elliptic curve 5547d1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$3$	$1 + T$
$43$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$2$	$1 - 2 T + 2 T^{2}$	1.2.ac
$5$	$1 + 2 T + 5 T^{2}$	1.5.c
$7$	$1 + 3 T + 7 T^{2}$	1.7.d
$11$	$1 + 6 T + 11 T^{2}$	1.11.g
$13$	$1 - T + 13 T^{2}$	1.13.ab
$17$	$1 - 6 T + 17 T^{2}$	1.17.ag
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 + 4 T + 23 T^{2}$	1.23.e
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 5547d do not have complex multiplication.

Modular form 5547.2.a.d

Elliptic curves in class 5547d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5547.c1	5547d1	$[0, 1, 1, -35747, -2623132]$	$-799178752/3483$	$-22017307499667$	$[]$	$14784$	$1.4135$	$\Gamma_0(N)$-optimal