Elliptic Curves of Large Rank and Small Conductor
نویسندگان
چکیده
For r = 6, 7, . . . , 11 we find an elliptic curve E/Q of rank at least r and the smallest conductor known, improving on the previous records by factors ranging from 1.0136 (for r = 6) to over 100 (for r = 10 and r = 11). We describe our search methods, and tabulate, for each r = 5, 6, . . . , 11, the five curves of lowest conductor, and (except for r = 11) also the five of lowest absolute discriminant, that we found.
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تاریخ انتشار 2004