Examples of genus two CM curves defined over the rationals
نویسندگان
چکیده
منابع مشابه
Examples of genus two CM curves defined over the rationals
We present the results of a systematic numerical search for genus two curves defined over the rationals such that their Jacobians are simple and have endomorphism ring equal to the ring of integers of a quartic CM field. Including the well-known example y2 = x5−1 we find 19 non-isomorphic such curves. We believe that these are the only such curves.
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1999
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-99-01020-0