Elliptic curve isogeny class with LMFDB label 298116.cl (Cremona label 298116cl)

• Label: 298116.cl
• Number of curves: $1$
• Conductor: $298116$
• CM: no
• Rank: $2$

Rank

The elliptic curve 298116.cl1 has rank \(2\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 + 4 T + 19 T^{2}\)	1.19.e
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 298116.cl do not have complex multiplication.

Modular form 298116.2.a.cl

Elliptic curves in class 298116.cl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
298116.cl1	298116cl1	\([0, 0, 0, -46137, 2199197]\)	\(23296/9\)	\(4195975260217104\)	\([]\)	\(1257984\)	\(1.6967\)	\(\Gamma_0(N)\)-optimal