Wrong form... and to pay the deferred SS tax, the IRS has said it needs to be done via EFTPS.

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Form 1040-SS:

This form is for residents of the U.S. Virgin Islands (USVI), Guam, American Samoa, the Commonwealth of the Northern Mariana Islands (CNMI), and the Commonwealth of Puerto Rico (Puerto Rico) who are not required to file a U.S. income tax return. One purpose of the form is to report net earnings from self-employment (SE) to the United States and, if necessary, pay SE tax on that income. The Social Security Administration (SSA) uses this information to figure your benefits under the social security program. SE tax applies no matter how old you are and even if you already are receiving social security or Medicare benefits.