Elliptic curve isogeny class with LMFDB label 17280.h (Cremona label 17280a)

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

Rank

The elliptic curve 17280.h1 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 $\mathbb{F}_p$
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 - 5 T + 11 T^{2}$	1.11.af
$13$	$1 - T + 13 T^{2}$	1.13.ab
$17$	$1 - 3 T + 17 T^{2}$	1.17.ad
$19$	$1 + 19 T^{2}$	1.19.a
$23$	$1 + 3 T + 23 T^{2}$	1.23.d
$29$	$1 + 5 T + 29 T^{2}$	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 17280.2.a.h

Elliptic curves in class 17280.h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
17280.h1	17280a1	$[0, 0, 0, -20628, 1151248]$	$-4388755356576/48828125$	$-10800000000000$	$[]$	$29568$	$1.3157$	$\Gamma_0(N)$-optimal