The Cleveland Browns had a record of 0-1 against the spread when allowing 50+ points in 1979.

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record against the spread after giving up 50 or more points any season
ATS
0-10-10-10-10-10-20-10-10-10-10-10-11-00-10-10-10-10-10-10-10-10-10-10-10-20-10-10-10-10-10-10-1
TEAMSEASONGPATSATS COV %ATS AVGO/U RECO/U AVGOPP PTSWLTTDPTSPPGOPP PPG1DWN3DWN%4DWN%
Cleveland BrownsCleveland Browns197910-10-121-0+505101053535.051.024
Baltimore ColtsBaltimore Colts197910-10-191-0+315001032121.050.024
New York JetsNew York Jets197910-10-451-0+1756010033.056.012
Atlanta FalconsAtlanta Falcons197910-10-211-0+325001031919.050.027
Cincinnati BengalsCincinnati Bengals197910-10-301-0+415101032424.051.016
Green Bay PackersGreen Bay Packers198020-20-322-0+33.511202042814.056.035
San Francisco 49ersSan Francisco 49ers198010-10-361-0+255901021414.059.014
Seattle SeahawksSeattle Seahawks198010-10-341-0+1051010177.051.018
St. Louis CardinalsSt. Louis Cardinals198110-10-37.51-0+205201011010.052.013
Oakland RaidersOakland Raiders198110-10-371-0+315501032121.055.018
Cincinnati BengalsCincinnati Bengals198210-10-131-0+345001043434.050.022
Los Angeles RamsLos Angeles Rams198310-10-34.551010177.051.012
Kansas City ChiefsKansas City Chiefs198311-0100+0.51-0+52.55101074848.051.026
Houston OilersHouston Oilers198310-10-36.51-0+245501021414.055.020
Tampa Bay BuccaneersTampa Bay Buccaneers198310-10-34.51-0+275501021414.055.018
Indianapolis ColtsIndianapolis Colts198410-10-26.51-0+245001021717.050.017
Buffalo BillsBuffalo Bills198410-10-17.51-0+34.55201032121.052.025
San Diego ChargersSan Diego Chargers198410-10-251-0+29.55201032424.052.023
Minnesota VikingsMinnesota Vikings198410-10-271-0+1451010177.051.018
Pittsburgh SteelersPittsburgh Steelers198510-10-51-0+48.55401054444.054.028
Dallas CowboysDallas Cowboys198510-10-28.51-0+295001032424.050.020
Tampa Bay BuccaneersTampa Bay Buccaneers198510-10-241-0+486201042828.062.015
Green Bay PackersGreen Bay Packers198610-10-17.51-0+435501032424.055.017
New York JetsNew York Jets198610-10-23.51-0+275201032121.052.016
Miami DolphinsMiami Dolphins198620-20-15.82-0+38101020107336.550.547
Houston OilersHouston Oilers198710-10-201-0+35.55101032727.051.026
Denver BroncosDenver Broncos198810-10-30.51-0+37.55501032323.055.022
Pittsburgh SteelersPittsburgh Steelers198910-10-491-0+851010000.051.05
Denver BroncosDenver Broncos198910-10-33.51-0+185501011010.055.012
Houston OilersHouston Oilers198910-10-50.51-0+2861010177.061.014
Tampa Bay BuccaneersTampa Bay Buccaneers198910-10-261-0+385601032323.056.021
Cleveland BrownsCleveland Browns199010-10-30.51-0+26.55801021414.058.012
StatMuse has team, game-level data for spread records going back to the 1979 season.