Elliptic curve isogeny class with Cremona label 17280c (LMFDB label 17280.b)

• Label: 17280c
• Number of curves: $1$
• Conductor: $17280$
• CM: no
• Rank: $1$

Rank

The elliptic curve 17280c1 has rank $1$.

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$11$	$1 - 5 T + 11 T^{2}$	1.11.af
$13$	$1 + 3 T + 13 T^{2}$	1.13.d
$17$	$1 - 3 T + 17 T^{2}$	1.17.ad
$19$	$1 + 19 T^{2}$	1.19.a
$23$	$1 - T + 23 T^{2}$	1.23.ab
$29$	$1 - 7 T + 29 T^{2}$	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 17280c do not have complex multiplication.

Modular form 17280.2.a.c

Elliptic curves in class 17280c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17280.b1	17280c1	$[0, 0, 0, 27, 162]$	$864/5$	$-12597120$	$[]$	$2880$	$0.044379$	$\Gamma_0(N)$-optimal