Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields (Q1372588)
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scientific article; zbMATH DE number 1088549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields |
scientific article; zbMATH DE number 1088549 |
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Nonexistence of elliptic curves with good reduction everywhere over real quadratic fields (English)
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18 November 1997
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The authors prove two theorems about the existence of elliptic curves with everywhere good reduction. In both they show that over certain classes of real quadratic fields all such curves must have a point of order two. Numerous examples are given.
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elliptic curves
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good reduction
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real quadratic fields
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0.99426776
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0.9919783
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0.96213746
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0.9401158
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0.92398775
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0.9214566
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0.9190813
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0.9165925
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