Elliptic curve isogeny class with LMFDB label 206310.bl (Cremona label 206310bj)

• Label: 206310.bl
• Number of curves: $1$
• Conductor: $206310$
• CM: no
• Rank: $1$

Rank

The elliptic curve 206310.bl1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(13\)	\(1 + T\)
\(23\)	\(1\)

Good L-factors:

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

See L-function page for more information

Complex multiplication

The elliptic curves in class 206310.bl do not have complex multiplication.

Modular form 206310.2.a.bl

Elliptic curves in class 206310.bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
206310.bl1	206310bj1	\([1, 1, 1, -126, -501]\)	\(418403281/78000\)	\(41262000\)	\([]\)	\(59904\)	\(0.17935\)	\(\Gamma_0(N)\)-optimal