Elliptic curve isogeny class with Cremona label 82800et (LMFDB label 82800.q)

• Label: 82800et
• Number of curves: $1$
• Conductor: $82800$
• CM: no
• Rank: $0$

Rank

The elliptic curve 82800et1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(5\)	\(1\)
\(23\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 8 T + 19 T^{2}\)	1.19.ai
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 82800et do not have complex multiplication.

Modular form 82800.2.a.et

Elliptic curves in class 82800et

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
82800.q1	82800et1	\([0, 0, 0, 1125, -107190]\)	\(2109375/67712\)	\(-5054673715200\)	\([]\)	\(169344\)	\(1.1176\)	\(\Gamma_0(N)\)-optimal