Elliptic curve isogeny class with LMFDB label 9200.bi (Cremona label 9200o)

• Label: 9200.bi
• Number of curves: $1$
• Conductor: $9200$
• CM: no
• Rank: $1$

Rank

The elliptic curve 9200.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 \(\mathbb{F}_p\)
\(3\)	\( 1 - 2 T + 3 T^{2}\)	1.3.ac
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 + 7 T + 17 T^{2}\)	1.17.h
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 9200.bi do not have complex multiplication.

Modular form 9200.2.a.bi

Isogeny graph

Elliptic curves in class 9200.bi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9200.bi1	9200o1	\([0, -1, 0, 7, -43]\)	\(1024/23\)	\(-736000\)	\([]\)	\(1408\)	\(-0.19399\)	\(\Gamma_0(N)\)-optimal