Elliptic curve isogeny class with LMFDB label 2550.t (Cremona label 2550z)

• Label: 2550.t
• Number of curves: $1$
• Conductor: $2550$
• CM: no
• Rank: $0$

Elliptic curves in class 2550.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2550.t1	2550z1	$[1, 1, 1, -8795013, -12177716469]$	$-192607474931043120625/52443022624653312$	$-20485555712755200000000$	$[]$	$289800$	$2.9973$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 2550.t1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1 + T$
$5$	$1$
$17$	$1 - T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 + 4 T + 7 T^{2}$	1.7.e
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 + 2 T + 13 T^{2}$	1.13.c
$19$	$1 - 8 T + 19 T^{2}$	1.19.ai
$23$	$1 + T + 23 T^{2}$	1.23.b
$29$	$1 + 4 T + 29 T^{2}$	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2550.t do not have complex multiplication.

Modular form 2550.2.a.t