For elliptic curves over Q with rational isogenies of various degrees, the Tamagawa number is shown to have only prescribed prime divisors, and infinite families with small prescribed Tamagawa numbers are constructed.
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Small Tamagawa numbers of elliptic curves with isogenies or torsion
For elliptic curves over Q with rational isogenies of various degrees, the Tamagawa number is shown to have only prescribed prime divisors, and infinite families with small prescribed Tamagawa numbers are constructed.