Elliptic curve isogeny class with LMFDB label 178752.ds (Cremona label 178752jy)

• Label: 178752.ds
• Number of curves: $1$
• Conductor: $178752$
• CM: no
• Rank: $1$

Elliptic curves in class 178752.ds

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
178752.ds1	178752jy1	$[0, -1, 0, 10715, -308867]$	$70575104/61731$	$-118990281424896$	$[]$	$506880$	$1.3883$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 178752.ds1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$3$	$1 + T$
$7$	$1$
$19$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$5$	$1 - T + 5 T^{2}$	1.5.ab
$11$	$1 - 5 T + 11 T^{2}$	1.11.af
$13$	$1 + 2 T + 13 T^{2}$	1.13.c
$17$	$1 - T + 17 T^{2}$	1.17.ab
$23$	$1 - 4 T + 23 T^{2}$	1.23.ae
$29$	$1 - 6 T + 29 T^{2}$	1.29.ag
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 178752.ds do not have complex multiplication.

Modular form 178752.2.a.ds