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

• Label: 9200h
• Number of curves: $1$
• Conductor: $9200$
• CM: no
• Rank: $0$

Rank

The elliptic curve 9200h1 has rank $0$.

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.c
$7$	$1 + T + 7 T^{2}$	1.7.b
$11$	$1 - 3 T + 11 T^{2}$	1.11.ad
$13$	$1 + 5 T + 13 T^{2}$	1.13.f
$17$	$1 + 6 T + 17 T^{2}$	1.17.g
$19$	$1 - 7 T + 19 T^{2}$	1.19.ah
$29$	$1 - 3 T + 29 T^{2}$	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 9200.2.a.h

Elliptic curves in class 9200h

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
9200.o1	9200h1	$[0, -1, 0, -8, -113]$	$-256/23$	$-5750000$	$[]$	$1280$	$-0.023342$	$\Gamma_0(N)$-optimal