Elliptic curve isogeny class with LMFDB label 200376.bj (Cremona label 200376bp)

• Label: 200376.bj
• Number of curves: $1$
• Conductor: $200376$
• CM: no
• Rank: $1$

Rank

The elliptic curve 200376.bj1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(11\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - T + 7 T^{2}\)	1.7.ab
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 200376.bj do not have complex multiplication.

Modular form 200376.2.a.bj

Elliptic curves in class 200376.bj

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
200376.bj1	200376bp1	\([0, 0, 0, -18443667, -30487276402]\)	\(197094217318/207\)	\(728722187089864704\)	\([]\)	\(6082560\)	\(2.7170\)	\(\Gamma_0(N)\)-optimal