Elliptic curve isogeny class with Cremona label 298908c (LMFDB label 298908.c)

• Label: 298908c
• Number of curves: $1$
• Conductor: $298908$
• CM: no
• Rank: $2$

Rank

The elliptic curve 298908c1 has rank \(2\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(19\)	\(1\)
\(23\)	\(1 + T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + T + 7 T^{2}\)	1.7.b
\(11\)	\( 1 - T + 11 T^{2}\)	1.11.ab
\(13\)	\( 1 + 4 T + 13 T^{2}\)	1.13.e
\(17\)	\( 1 - 5 T + 17 T^{2}\)	1.17.af
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 298908c do not have complex multiplication.

Modular form 298908.2.a.c

Elliptic curves in class 298908c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
298908.c1	298908c1	\([0, 0, 0, -12970008, 17980758756]\)	\(-27482443554816/3628411\)	\(-31857051253552982784\)	\([]\)	\(9953280\)	\(2.7621\)	\(\Gamma_0(N)\)-optimal