Elliptic curve isogeny class with LMFDB label 343850.cs (Cremona label 343850cs)

• Label: 343850.cs
• Number of curves: $1$
• Conductor: $343850$
• CM: no
• Rank: $0$

Elliptic curves in class 343850.cs

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
343850.cs1	343850cs1	$[1, 1, 1, 6337, -2141019]$	$304175/21632$	$-2001445219280000$	$[]$	$2128896$	$1.6156$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 343850.cs1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$5$	$1$
$13$	$1 + T$
$23$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + T + 3 T^{2}$	1.3.b
$7$	$1 - 4 T + 7 T^{2}$	1.7.ae
$11$	$1 + T + 11 T^{2}$	1.11.b
$17$	$1 - 7 T + 17 T^{2}$	1.17.ah
$19$	$1 - 3 T + 19 T^{2}$	1.19.ad
$29$	$1 + 4 T + 29 T^{2}$	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 343850.cs do not have complex multiplication.

Modular form 343850.2.a.cs