Romosozumab/Denosumab Study for Premenopausal IOP

Inclusion Criteria: * Premenopausal women, aged 18-48, with regular menses and no historical or biochemical secondary cause of osteoporosis; the lower age limit is to ensure epiphyses are fused, the upper to make it less likely that women will enter menopause during the study. All subjects under age 25 will be screened (bone age radiograph) prior to enrollment to rule out open epiphyses. * Documented adult fractures judged to be low-trauma (equivalent to a fall from a standing height or less) and T-score or Z-score ≤ -1.5 at the LS, TH or FN. * Must agree to use highly effective contraception throughout the period of study drug administration. Highly effective contraception includes methods considered by the CDC to be \>99% effective (e.g. vasectomized partner, tubal ligation, hysterectomy, IUD) as well as a combination of barrier method (condoms) with hormonal contraception considered to be \> 90% effective (oral contraceptive pill, patch or ring). Systemic progestin only methods (oral or implanted) are not included due to their effect on systemic estrogen levels and thus potential effects on bone health in this premenopausal population. Exclusion Criteria: * Any cardiovascular disease: history of myocardial infarction (MI) or stroke. Normal electrocardiogram (ECG) or ECG with no clinically significant abnormality is required at study entry. * Conditions requiring chronic anticoagulation (coumadin, heparins) * Early follicular phase serum FSH\>20 mIU/ml (to exclude perimenopausal women) * Disorders of mineral metabolism: primary/secondary hyperparathyroidism, osteomalacia (including that associated with a diagnosis of hypophosphatasia), vitamin D deficiency * Suspicion of osteomalacia (elevated alkaline phosphatase, bone pain exacerbated by weight bearing, bone tenderness) * Vitamin D deficiency (serum 25-OHD\<30ng/ml). Women with levels of 10-29 ng/ml will be eligible after treatment with vitamin D has resulted in levels ≥30 ng/ml. * Hypocalcemia * Hypercalciuria: urinary calcium excretion over 300 mg/g Cr that can not be effectively lowered with medical management (reduced calcium intake, thiazide diuretics). As in our prior studies, prevalent nephrolithiasis in the absence of pretreatment hypercalciuria is not an exclusion. * Current pregnancy or lactation * Highly effective contraception is required, pregnancy testing is performed at each visit * Current active eating disorder, hypothalamic or exercise induced amenorrhea. Patients with past history of these disorders, resolved \> 1 year ago, are eligible to participate. The Eating Aptitude Test -Questionnaire is given to identify women with subclinical eating disorders * Current malignancy * Endocrinopathy: new onset untreated hyperthyroidism/hypothyroidism, Cushing's syndrome, prolactinoma * Renal insufficiency (eGFR below 60 ml/min) * Liver disease (AST, ALT, bilirubin, total alkaline phosphatase activity above upper normal limit) * Intestinal malabsorption disorders including but not limited to pancreatic insufficiency, active Crohn Disease or untreated celiac disease. * History/current GCs, anticonvulsants, anticoagulants, methotrexate, GnRH agonists to suppress menstruation * Oral glucocorticoid dose equivalent \>5 mg prednisone for \>3 months. * Current use of specific anticonvulsants (carbamazepine, phenytoin, phenobarbital), methotrexate, GnRH agonists to suppress menstruation. Subjects who completed treatment with these medications \> 1 year ago are eligible to participate * Current GCs (oral GC equivalent to 5mg prednisone or more). Subjects who completed treatment with these medications for ≤ 3 months, \> 1 year ago are eligible to participate. * Current anticoagulant use; past use of warfarin (Coumadin) or low molecular weight heparin is not an exclusion, although known thrombotic disease is an exclusion * Depo Provera (depot medroxyprogesterone acetate) unless taken after age 20, more than 5 years ago * Drugs for osteoporosis (raloxifene, bisphosphonates, denosumab, calcitonin, TPTD/abaloparatide): Subjects who discontinue these medications will be eligible: * 3 months after stopping raloxifene or calcitonin * 12 months after stopping abaloparatide, teriparatide, alendronate, risedronate, ibandronate, or pamidronate * 24 months after the last dose of zoledronate * 18 months after the last dose of denosumab. Subjects who have received ≤ 6 months of teriparatide or abaloparatide will be eligible 2 months after the last dose. Subjects who have received ≤ 12 months of teriparatide or abaloparatide will be eligible 6 months after the last dose. * Women with a history of dental extraction or other invasive dental work within 3 months, or who require invasive dental work within the next two years, will be excluded * Hypersensitivity to romosozumab or denosumab