Elliptic curve isogeny class with Cremona label 388800hi (LMFDB label 388800.hi)

• Label: 388800hi
• Number of curves: $1$
• Conductor: $388800$
• CM: no
• Rank: $1$

Elliptic curves in class 388800hi

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
388800.hi1	388800hi1	$[0, 0, 0, 24300, 425250]$	$995328/625$	$-996451875000000$	$[]$	$1244160$	$1.5670$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 388800hi1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1$
$5$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 + 2 T + 11 T^{2}$	1.11.c
$13$	$1 - T + 13 T^{2}$	1.13.ab
$17$	$1 + 2 T + 17 T^{2}$	1.17.c
$19$	$1 + 7 T + 19 T^{2}$	1.19.h
$23$	$1 + 6 T + 23 T^{2}$	1.23.g
$29$	$1 + 4 T + 29 T^{2}$	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 388800hi do not have complex multiplication.

Modular form 388800.2.a.hi