So...searching "curviest street in Los Angeles" only brings up lots of information on the steepest streets in Los Angeles, with articles like:
LA Has the Most Ridiculously Steep Streets of Any US City
https://la.curbed.com/maps/la-has-th...of-any-us-city
...and...
California Has Seven of the Ten Steepest Streets in America
https://www.motherjones.com/kevin-dr...ts-in-america/
From that article:
According to fixr.com, here are the ten steepest streets in America:
Waipio Rd. in Honokaa, HI — 45% gradient
Canton Ave. in Pittsburgh, PA — 37% gradient
Eldred St. in Los Angeles, CA — 33.3% gradient
28th St. in Los Angeles, CA — 33% gradient
Baxter St. in Los Angeles, CA — 32% gradient
Fargo St. in Los Angeles, CA — 32% gradient
Maria Ave. in Spring Valley, CA — 32% gradient
Dornbush St. in Pittsburgh, PA — 31.98% gradient
22nd St. in San Francisco, CA — 31.5% gradient
Filbert St. in San Francisco, CA — 31.5% gradient
___
ETA: Fixr's list with info:
The steepest street in Los Angeles is Eldred Street. It was mentioned once on NLA by
E_R on Valentine's Day in 2014,
HERE, and then others commented on the post a few times. As discussed there, Baxter Street doesn't go anywhere and ends in a wooden staircase at the top end.
KCET
Baxter Street on the list above got lots of attention in the past few years, noted by the article above:
In recent years, navigation apps have directed more drivers to Baxter Street to avoid traffic jams along nearby Glendale Boulevard. But the apps don’t tell drivers how treacherous the road can be, especially in rainy weather.
Herman Schultheis took several photos of Baxter Street in 1937.
L.A. ALMANAC -- some interesting information:
Longest/Shortest Streets & Steepest Grades in Los Angeles County
https://www.laalmanac.com/transport/tr01r.php
The longest street in Los Angeles County is Sepulveda Boulevard which runs 42.8 miles between Mission Hills in the San Fernando Valley and Long Beach (26.4 miles through the City of Los Angeles).
I found this 1935 map of the entire route, showing some sections where improvements were to be made.
MetroPrimaryResources
The shortest street in Los Angeles is Powers Place, located in downtown Los Angeles. It extends a mere 13 feet between Alvarado Terrace and Bonnie Brae.
Noted at least once on NLA
HERE by E_R in 2018 (also with a GSV link).
LAEG
The LA Explorers Guild link has some history of the street. THey say it was officially named in 1911 and that:
"On the books, Powers Place is only 13 feet long. I’m not quite sure how this 13 feet was measured, but it’s actually a bit longer than that. This is quite apparent when you visit the street in person."
I'm 6'5" and x2 that would be 2 inches more than my height.

Maybe, this image from
Wikimapia shows one side longer than the other:
Well I went off on some tangents. And still no information on L.A.'s curviest street...but that's the long and short of it.