Elliptic curve isogeny class with Cremona label 9800s (LMFDB label 9800.f)

• Label: 9800s
• Number of curves: $1$
• Conductor: $9800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 9800s1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 - 7 T + 23 T^{2}\)	1.23.ah
\(29\)	\( 1 - 2 T + 29 T^{2}\)	1.29.ac
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9800s do not have complex multiplication.

Modular form 9800.2.a.s

Isogeny graph

Elliptic curves in class 9800s

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9800.f1	9800s1	\([0, 1, 0, 14292, -384287]\)	\(1280\)	\(-252210043750000\)	\([]\)	\(26880\)	\(1.4514\)	\(\Gamma_0(N)\)-optimal