Elliptic curve isogeny class with Cremona label 15808q (LMFDB label 15808.k)

• Label: 15808q
• Number of curves: $1$
• Conductor: $15808$
• CM: no
• Rank: $1$

Rank

The elliptic curve 15808q1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(13\)	\(1 - T\)
\(19\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - 3 T + 5 T^{2}\)	1.5.ad
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 8 T + 29 T^{2}\)	1.29.ai
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 15808q do not have complex multiplication.

Modular form 15808.2.a.q

Elliptic curves in class 15808q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
15808.k1	15808q1	\([0, 0, 0, 4, -24]\)	\(6912/247\)	\(-252928\)	\([]\)	\(1280\)	\(-0.28334\)	\(\Gamma_0(N)\)-optimal