Elliptic curve isogeny class with LMFDB label 20216.a (Cremona label 20216l)

• Label: 20216.a
• Number of curves: $1$
• Conductor: $20216$
• CM: no
• Rank: $2$

Rank

The elliptic curve 20216.a1 has rank $2$.

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + 3 T + 3 T^{2}$	1.3.d
$5$	$1 + 3 T + 5 T^{2}$	1.5.d
$11$	$1 + 4 T + 11 T^{2}$	1.11.e
$13$	$1 - 3 T + 13 T^{2}$	1.13.ad
$17$	$1 + 3 T + 17 T^{2}$	1.17.d
$23$	$1 + 9 T + 23 T^{2}$	1.23.j
$29$	$1 - 9 T + 29 T^{2}$	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 20216.a do not have complex multiplication.

Modular form 20216.2.a.a

Elliptic curves in class 20216.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20216.a1	20216l1	$[0, 0, 0, -19, 19]$	$131328/49$	$283024$	$[]$	$5184$	$-0.25406$	$\Gamma_0(N)$-optimal