Elliptic curve isogeny class with Cremona label 167310bl (LMFDB label 167310.dt)

• Label: 167310bl
• Number of curves: $1$
• Conductor: $167310$
• CM: no
• Rank: $1$

Rank

The elliptic curve 167310bl1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1 - T\)
\(11\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(17\)	\( 1 + 17 T^{2}\)	1.17.a
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 167310bl do not have complex multiplication.

Modular form 167310.2.a.bl

Elliptic curves in class 167310bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
167310.dt1	167310bl1	\([1, -1, 1, -62942873, 192246511097]\)	\(-17218915986569071075813/2522559283200000\)	\(-4040163741243801600000\)	\([]\)	\(22848000\)	\(3.1603\)	\(\Gamma_0(N)\)-optimal