A Study of Eloralintide (LY3841136) in Female Participants With Obesity or Overweight

Inclusion Criteria: * Are individuals AFAB who are individuals of childbearing potential using non-hormonal methods of contraception, or individuals not of childbearing potential. * Have safety laboratory test results within normal reference range for the population or investigative site. * Have a body mass index (BMI) within the range of 27.0 to 35.0 kilograms per square meter (kg/m²), inclusive. * Have had a stable body weight, with less than 5 percent (%) change during the 3-month period prior to screening. Exclusion Criteria: * Have a history or presence of contraindications to the Combined Oral Contraceptive (COC) tablet including thrombosis and the history of any thromboembolic disease, recurrent jaundice, acute or chronic liver disease, hormonally-induced migraines, undiagnosed vaginal bleeding, significant hyperlipidemia, and mammary, endometrial, or hepatic carcinoma (known or suspected). * Have known risks of arterial or venous thrombotic diseases. * Have a significant history of or current cardiovascular, respiratory, hepatic, renal, gastrointestinal (GI), endocrine, hematological, or neurological disorders capable of significantly altering the absorption, metabolism, or elimination of drugs, or of constituting a risk when taking the study drug, or of interfering with the interpretation of data. * Have a known clinically significant gastric emptying abnormality; a GI disorder that impacts GI absorption or gastric emptying; or have undergone weight loss surgery; or have had endoscopic and/or device-based therapy for obesity or device removal within the last 6 months. * Have a history of breast, uterine or ovarian cancer any time or have any malignancy within the past 5 years with the exceptions of basal cell or squamous epithelial carcinomas of the skin, or cervical carcinoma in situ. * Have received drugs that reduce GI motility within 1 month prior to screening. * Have received oral contraceptives within 3 months, implanted contraceptives within 6 months, injectable contraceptives within 12 months, or topical controlled delivery contraceptives (patch) or hormonal intrauterine device within 3 months prior to the study or plan to use during the study. * Have an estimated glomerular filtration rate (eGFR), using the Chronic Kidney Disease Epidemiology Collaboration equation (2021), less than 60.0 milliliter per minute per 1.73 square meters (mL/Minute/1.73m²). * Are pregnant or intend to become pregnant or to breastfeed during the study.