Sen. Elizabeth Warren (D., Mass.) is viewed unfavorably by nearly half of voters in Massachusetts according to a new poll, an unusually high number for a lawmaker in her home state.

Warren, who has established herself as one of the top 2020 Democratic presidential candidates, is as likely to be viewed favorably (46 percent) as unfavorably (46 percent) with the voters who know her best in the Suffolk University/Boston Globe survey. In comparison, Republican Gov. Charlie Baker was viewed favorably by 69 percent of respondents, with just 15 percent viewing him unfavorably. Sixty-six percent said he should run for a third term.

When asked who they would support in the 2020 Democratic primary, Massachusetts voters picked Joe Biden (22 percent) over Warren (10 percent) by a significant margin. Forty-one percent of respondents were still undecided on whom they would pick in the crowded field.

Warren was easily re-elected to a second Senate term in November, but she said several times before the election that she was "not running in 2020." Unlike Sen. Kirsten Gillibrand (D., N.Y.), Warren did finally acknowledge before last November that she would take a look at running for the presidency. She has won praise from progressives for her exhaustive suite of policy proposals.

Her national ambitions could be hurting her back home. A survey in September showed 58 percent of Massachusetts voters didn't think she should run for president.

Favorable/unfavorable ratings in Massachusetts (Suffolk): Gov. Charlie Baker (R) 69-15%

Sen. Elizabeth Warren (D) 46%-46%

Sen. Ed Markey (D) 38-25%

President Donald Trump (R) 30-61%https://t.co/PThltcpLdq — Steve Kornacki (@SteveKornacki) June 11, 2019

Warren likely wouldn't have to worry about the deep-blue state in a general election if she were to be the Democratic nominee. President Donald Trump lost Massachusetts by nearly 28 points in 2016, and no Republican has won Massachusetts in a presidential election since Ronald Reagan in 1984.

Trump is viewed unfavorably by 61 percent of Massachusetts voters in the poll, but only 41 percent favored starting impeachment proceedings against him, with 48 percent saying they shouldn't start.