Elliptic curve isogeny class with LMFDB label 38088.q (Cremona label 38088r)

• Label: 38088.q
• Number of curves: $1$
• Conductor: $38088$
• CM: no
• Rank: $0$

Rank

The elliptic curve 38088.q1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(23\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 5 T^{2}\)	1.5.a
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 5 T + 13 T^{2}\)	1.13.f
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 6 T + 19 T^{2}\)	1.19.g
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 38088.q do not have complex multiplication.

Modular form 38088.2.a.q

Elliptic curves in class 38088.q

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
38088.q1	38088r1	\([0, 0, 0, -261855, -51575913]\)	\(-1149984000/23\)	\(-39713884013808\)	\([]\)	\(177408\)	\(1.7302\)	\(\Gamma_0(N)\)-optimal