Elliptic curve isogeny class with LMFDB label 20070.v (Cremona label 20070v)

• Label: 20070.v
• Number of curves: $1$
• Conductor: $20070$
• CM: no
• Rank: $0$

Elliptic curves in class 20070.v

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
20070.v1	20070v1	$[1, -1, 1, -45116243, -118131988493]$	$-376147968271152925023018387/5647084311992320000000$	$-152471276423792640000000$	$[]$	$2951200$	$3.2517$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 20070.v1 has rank $0$.

L-function data

Bad L-factors:

Prime	L-Factor
$2$	$1 - T$
$3$	$1$
$5$	$1 + T$
$223$	$1 + T$

Good L-factors:

Prime	L-Factor	Isogeny Class over $\mathbb{F}_p$
$7$	$1 + 3 T + 7 T^{2}$	1.7.d
$11$	$1 + T + 11 T^{2}$	1.11.b
$13$	$1 + 4 T + 13 T^{2}$	1.13.e
$17$	$1 - T + 17 T^{2}$	1.17.ab
$19$	$1 + 4 T + 19 T^{2}$	1.19.e
$23$	$1 + 5 T + 23 T^{2}$	1.23.f
$29$	$1 + 9 T + 29 T^{2}$	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 20070.v do not have complex multiplication.

Modular form 20070.2.a.v