Elliptic curve isogeny class with LMFDB label 110670.l (Cremona label 110670m)

• Label: 110670.l
• Number of curves: $1$
• Conductor: $110670$
• CM: no
• Rank: $1$

Elliptic curves in class 110670.l

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
110670.l1	110670m1	$[1, 1, 0, -3307, 71869]$	$-4001579756065081/2007996480$	$-2007996480$	$[]$	$120960$	$0.73762$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 110670.l1 has rank $1$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 + T$
$3$	$1 + T$
$5$	$1 - T$
$7$	$1 - T$
$17$	$1 + T$
$31$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$11$	$1 + 5 T + 11 T^{2}$	1.11.f
$13$	$1 - T + 13 T^{2}$	1.13.ab
$19$	$1 + 2 T + 19 T^{2}$	1.19.c
$23$	$1 - 8 T + 23 T^{2}$	1.23.ai
$29$	$1 + 6 T + 29 T^{2}$	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 110670.l do not have complex multiplication.

Modular form 110670.2.a.l