Elliptic curve isogeny class with LMFDB label 18400.r (Cremona label 18400q)

• Label: 18400.r
• Number of curves: $1$
• Conductor: $18400$
• CM: no
• Rank: $1$

Elliptic curves in class 18400.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
18400.r1	18400q1	$[0, -1, 0, 2467, -11867563]$	$25934336/950546875$	$-60835000000000000$	$[]$	$96768$	$1.8995$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 18400.r1 has rank $1$.

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 - 2 T + 3 T^{2}$	1.3.ac
$7$	$1 + T + 7 T^{2}$	1.7.b
$11$	$1 - 2 T + 11 T^{2}$	1.11.ac
$13$	$1 + 13 T^{2}$	1.13.a
$17$	$1 - T + 17 T^{2}$	1.17.ab
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$29$	$1 + 5 T + 29 T^{2}$	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 18400.r do not have complex multiplication.

Modular form 18400.2.a.r