From: "Troy Kessler" Subject: [missing] Date: Mon, 27 Mar 2000 23:28:59 -0800 To: Summary: [missing] I would like to add some high rank elliptic curves to your page and ask if any research has done before for this family. x^3+y^3=m I give all m values I know of for rank 4,5 and 6. Rank 4 Rank 5 Rank 6 34706 489489 425992483 Wilson 45353 763002 467239591 Wilson 55298 903210 4058099857 Wilson 55335 1588620 11930824603 Wilson 59690 1886852 62628 2577185 82290 2861430 108570 2976190 111690 3091110 114589 Wilson 4780230 115995 49067109 Wilson 120870 404694801 Wilson 123006 503723402 Wilson 131070 136530 143299 Wilson 152490 152551 UPINT 155220 156009 170476 171292 173602 192045 200811 212970 221646 222859 UPINT 239430 240465 253946 262515 268830 271780 281220 282315 288052 291935 297570 308009 308730 311922 327763 Silverman 343027 344630 351234 353190 359658 366366 389298 392084 404670 405060 409773 420546 447330 447678 470580 476532 482460 487730 510510 551025 554743 562483 576065 595110 611490 613060 645612 648830 654255 679357 742170 759220 759906 814385 866580 895070 932015 939673 1015980 1032820 1111530 1170708 1179486 1182890 1194930 1216950 1275337 1301690 1334333 1340670 1345890 1402310 1503060 1540140 1561098 1594145 1607970 1618188 1634380 1674420 1697430 1771770 1796970 1849430 1889550 1943795 1975380 1982916 1998542 2046198 2047782 2082906 2085258 2089780 2111538 2162622 2206204 2228700 2259290 2260830 2284590 2300311 2322210 2384310 2395470 2402066 2492490 2508798 2628073 2631090 2641665 2691451 2691780 2693990 2710780 2714322 2747719 2771340 2820727 2827260 2871330 2880570 2947230 2955169 3038070 3076626 3180619 3188010 3242197=141^3+76^3=138^3+85^3=(-171)^3+202^3 Silverman 3653839 3723876 3746071 3785892 3906210 3984337 4006002 4072530 4085445 4153380 4186182 4603170 4886310 4957260 5047350 5153610 5222910 5290740 5415690 5585690 16776487 UPINT 23529961 Wilson 333812557 Wilson 4012222058 Wilson 15170835645 Silverman ============================================================================== From: "Troy Kessler" Subject: [missing] Date: Mon, 27 Mar 2000 23:30:48 -0800 To: Summary: [missing] Keywords: [missing] When I said research for that family I meant other than Zagier and Kramarz 1987 and Selmer 1954.