Elliptic curve isogeny class with Cremona label 22848br (LMFDB label 22848.p)

• Label: 22848br
• Number of curves: $1$
• Conductor: $22848$
• CM: no
• Rank: $0$

Rank

The elliptic curve 22848br1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 - T\)
\(7\)	\(1 + T\)
\(17\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 22848br do not have complex multiplication.

Modular form 22848.2.a.br

Elliptic curves in class 22848br

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
22848.p1	22848br1	\([0, -1, 0, 139, -723]\)	\(17997824/22491\)	\(-368492544\)	\([]\)	\(9216\)	\(0.32979\)	\(\Gamma_0(N)\)-optimal