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

• Label: 99372e
• Number of curves: $1$
• Conductor: $99372$
• CM: no
• Rank: $1$

Rank

The elliptic curve 99372e1 has rank \(1\).

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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 + T + 11 T^{2}\)	1.11.b
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(19\)	\( 1 + 7 T + 19 T^{2}\)	1.19.h
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 99372.2.a.e

Elliptic curves in class 99372e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
99372.e1	99372e1	\([0, -1, 0, -10404, -2371032]\)	\(-38416/729\)	\(-2363642937347328\)	\([]\)	\(508032\)	\(1.6309\)	\(\Gamma_0(N)\)-optimal