Elliptic curve isogeny class with Cremona label 122018c (LMFDB label 122018.r)

• Label: 122018c
• Number of curves: $1$
• Conductor: $122018$
• CM: no
• Rank: $1$

Rank

The elliptic curve 122018c1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 + T$
$13$	$1$
$19$	$1$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$3$	$1 + 2 T + 3 T^{2}$	1.3.c
$5$	$1 + 5 T^{2}$	1.5.a
$7$	$1 + 7 T^{2}$	1.7.a
$11$	$1 + 3 T + 11 T^{2}$	1.11.d
$17$	$1 - 7 T + 17 T^{2}$	1.17.ah
$23$	$1 + 4 T + 23 T^{2}$	1.23.e
$29$	$1 - 3 T + 29 T^{2}$	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 122018c do not have complex multiplication.

Modular form 122018.2.a.c

Elliptic curves in class 122018c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
122018.r1	122018c1	$[1, -1, 0, -72448, 170017784]$	$-27/8$	$-12460415070631657688$	$[]$	$5116320$	$2.3433$	$\Gamma_0(N)$-optimal