Penile vein thrombosis is possible, and can lead to the symptoms you describe. An ultrasound of the penis can confirm this. Normally, they resolve on their own with conservative treatment, however a urology evaluation can be considered for a surgical procedure if they persist.
The curvature of the penis can be due to Peyronie's disease, which are plaques that can lead to the symptoms. Again, the ultrasound of the penis would be helpful in ruling this out. The plaques may not be palpable, which is why the ultrasound is important.
These options can be discussed with your urologist.
Followup with your personal physician is essential.
This answer is not intended as and does not substitute for medical advice - the information presented is for patient education only. Please see your personal physician for further evaluation of your individual case.
Kevin, M.D.
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