Elliptic curve isogeny class with LMFDB label 254800.cc (Cremona label 254800cc)

• Label: 254800.cc
• Number of curves: $1$
• Conductor: $254800$
• CM: no
• Rank: $1$

Rank

The elliptic curve 254800.cc1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1$
$5$	$1$
$7$	$1$
$13$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + T + 3 T^{2}$	1.3.b
$11$	$1 + T + 11 T^{2}$	1.11.b
$17$	$1 - 7 T + 17 T^{2}$	1.17.ah
$19$	$1 + 3 T + 19 T^{2}$	1.19.d
$23$	$1 + 23 T^{2}$	1.23.a
$29$	$1 + 4 T + 29 T^{2}$	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 254800.cc do not have complex multiplication.

Modular form 254800.2.a.cc

Elliptic curves in class 254800.cc

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
254800.cc1	254800cc1	$[0, -1, 0, 9392, 3864512]$	$304175/21632$	$-6515156910080000$	$[]$	$1161216$	$1.7140$	$\Gamma_0(N)$-optimal