If you are referring to the specific proposed amendment from the 1970's, then yes, you capitalize it. If you are referring to the general concept of similar proposals, then you do not capitalize it.
For example:
to give woman equal rights
The Right to Equal treatment under the law.
It isn’t an amendment, but a law passed in 1965 as the Civil Rights Act.
women
The equal rights amendment caused questions as a result of states revoking their ratification rights. This amendment was finally ratified in 1992 which was more than 202 years after it was first introduced into Congress.
The Equal Rights Amendment
The goal of the Equal Rights Amendment was to make gender equality a constitutional right.
It was a failed US amendment that would have guaranteed equal rights to both men and women.
to give woman equal rights
The Amendment was not ratified.
The amendment was not ratified.
Yes, Nevada was one of the states that refused to ratify the Equal Rights Amendment.
The majority of states that did not ratify the Equal Rights Amendment were located in the Midwest.
The Right to Equal treatment under the law.
The Equal Rights Amendment was a proposed amendment that failed to be ratified by enough states. It proposed equal rights for both sexes.
the amendment was not ratified
Yes, it is called the Equal Rights Amendment (ERA). It hasn't been ratified yet though, so it isn't a real amendment yet.