Goodwill and Intangible Assets

6 Months Ended

Jun. 30, 2021

Goodwill and Intangible Assets Disclosure [Abstract]

Changes in the carrying amount of goodwill for the six months ended June 30, 2021 and the year ended December 31, 2020 were as follows:


(in thousands)	June 30, 2021	December 31, 2020
Beginning balance	$6,925	$6,323
Foreign currency translation	(210)	602
Ending balance	$6,715	$6,925

The Company’s intangible assets at June 30, 2021 and December 31, 2020 consisted of the following:


	June 30, 2021			December 31, 2020
(in thousands)	Gross Carrying Amount	Accumulated Amortization	Net		Gross Carrying Amount	Accumulated Amortization	Net
Other intangible assets:
Developed technology	$798,253	($274,345)	$523,908		$798,260	($254,629)	$543,631
Trade name	27,222	—	27,222		27,343	—	27,343
Service provider network	2,000	—	2,000		2,000	—	2,000
Customer relationships	18,731	(4,758)	13,973		19,072	(4,042)	15,030
Software	11,342	(10,407)	935		10,865	(9,693)	1,172
Other	100	(83)	17		100	(75)	25
Total intangible assets	$857,648	($289,593)	$568,055		$857,640	($268,439)	$589,201

At June 30, 2021, the weighted-average amortization periods remaining for developed technology, customer relationships, software and other was 14.0, 11.5, 1.9, and 1.0 years, respectively, and the weighted-average amortization periods remaining for these finite-lived intangible assets was 13.9 years.

Estimated annual amortization expense for finite-lived intangible assets subsequent to June 30, 2021 is as follows:


(in thousands)			Amount
2021 (remaining)			$20,778
2022			41,054
2023			40,931
2024			40,812
2025			40,729
Thereafter			354,529
Total			$538,833

Amortization expense for intangible assets was $10.5 million and $10.9 million for the three months ended June 30, 2021 and 2020, respectively and $21.3 million and $21.9 million for the six months ended June 30, 2021 and 2020, respectively.