Elliptic curve isogeny class with LMFDB label 99372.j (Cremona label 99372w)

• Label: 99372.j
• Number of curves: $1$
• Conductor: $99372$
• CM: no
• Rank: $2$

Rank

The elliptic curve 99372.j1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(7\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + 9 T + 23 T^{2}\)	1.23.j
\(29\)	\( 1 + 3 T + 29 T^{2}\)	1.29.d
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 99372.j do not have complex multiplication.

Modular form 99372.2.a.j

Elliptic curves in class 99372.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
99372.j1	99372w1	\([0, -1, 0, 1699, -95031]\)	\(8192/63\)	\(-4168682429184\)	\([]\)	\(138240\)	\(1.1030\)	\(\Gamma_0(N)\)-optimal