Elliptic curve isogeny class with LMFDB label 36800.bi (Cremona label 36800ct)

• Label: 36800.bi
• Number of curves: $1$
• Conductor: $36800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 36800.bi1 has rank \(1\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 + 2 T + 13 T^{2}\)	1.13.c
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 36800.bi do not have complex multiplication.

Modular form 36800.2.a.bi

Isogeny graph

Elliptic curves in class 36800.bi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
36800.bi1	36800ct1	\([0, -1, 0, -60833, 5929537]\)	\(-19450850/529\)	\(-677120000000000\)	\([]\)	\(145920\)	\(1.6272\)	\(\Gamma_0(N)\)-optimal