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jesper-petersen

Member since .

About

Danish amateur mathematician in the sense that I don't hold an academic position. I have a long interest in elliptic curves since my university studies. I wrote my master's thesis on modular symbols and the work of John Cremona 25 years ago, and have been doing my own research on these subjects throughout the years. Email: jesper.koch.petersen at gmail.

Curves (40)

curve a-invariants rank torsion log N log |Δ| Faltings height naive height
#3875 [1, 0, 0, -3099002508611…, 20997686720958…] ≥ 19 ℤ/2ℤ 173.46 315.28 25.38 332.76
#1379 [0, -1, 0, -9760152474023…, -3518287165082…] ≥ 13 ℤ/2ℤ × ℤ/2ℤ 154.65 370.10 29.53 377.65
#3844 [0, 1, 0, -1674433172091…, -1763177092982…] ≥ 12 ℤ/2ℤ × ℤ/2ℤ 106.49 281.97 22.19 289.47
#1384 [0, -1, 0, -1358886867969…, 19280709927026…] ≥ 11 ℤ/2ℤ 60.17 93.52 7.20 116.15
#1375 [0, 1, 0, -7739356160225…, 82871530290372…] ≥ 11 ℤ/2ℤ 79.14 158.43 12.76 183.54
#1374 [1, 1, 1, -1702849424631…, 81543305806052…] ≥ 10 ℤ/2ℤ 60.88 127.70 9.40 137.55
#3482 [0, -1, 0, -1961335186252…, 32417180218045…] ≥ 10 ℤ/2ℤ × ℤ/2ℤ 76.28 176.06 13.44 186.33
#1246 [0, -1, 0, -234752993400, -3775233935487…] ≥ 9 ℤ/2ℤ 45.73 81.34 5.50 90.16
#3757 [0, 1, 0, -43135, 13298769] ≥ 6 ℤ/2ℤ 26.50 38.81 1.92 46.33
#3756 [0, 1, 0, -298553, 59896048] ≥ 6 ℤ/2ℤ 26.56 39.54 2.05 49.43
#3734 [1, 1, 1, -2918820563, -8136278627344] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 27.50 69.52 4.48 77.00
#3725 [0, -1, 0, -46694850008, 38738536393125…] ≥ 6 ℤ/2ℤ × ℤ/2ℤ 29.01 72.58 4.92 85.31
#3494 [1, 0, 1, -2612439389653…, 10369934070873…] ≥ 6 ℤ/6ℤ 37.69 111.78 8.01 119.51
#3483 [0, 1, 0, -2474617489821…, 14983292255697…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 38.67 120.02 9.17 138.67
#2152 [0, -1, 0, -7602351178123…, 80680442961959…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 39.33 122.84 9.44 142.04
#3484 [0, -1, 0, -9543695128779…, 11343572956219…] ≥ 6 ℤ/2ℤ × ℤ/4ℤ 38.14 128.13 9.63 142.72
#1249 [1, 1, 0, -22198, 480352] ≥ 5 ℤ/2ℤ 21.03 34.02 1.53 41.64
#3724 [1, 1, 0, -14142125, -9175021875] ≥ 5 ℤ/2ℤ × ℤ/2ℤ 21.65 53.33 3.14 61.01
#1762 [1, 1, 0, -134726750, 601046062500] ≥ 5 ℤ/2ℤ × ℤ/2ℤ 22.18 54.39 3.43 67.77
#3754 [0, 1, 0, -2183329539, 39266211378241] ≥ 5 ℤ/2ℤ 26.07 26.76 3.48 76.13
#3490 [1, 0, 1, -2376745793554, 51687474097079…] ≥ 5 ℤ/6ℤ 27.11 89.50 6.15 97.10
#3474 [1, 1, 1, -3142081556619…, -3379133522064…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 29.95 104.28 7.38 111.76
#3566 [0, -1, 0, -3809890521953…, 28617957065131…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 28.81 96.95 7.08 112.33
#3473 [0, -1, 0, -7289132920284…, 59870607570494…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 31.27 105.85 7.53 114.28
#3491 [0, 1, 0, -9481521345937…, 11237381939628…] ≥ 5 ℤ/6ℤ 29.78 71.93 6.79 115.07
#2123 [0, -1, 0, -1295200614248…, 10024622212124…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 31.79 108.18 7.71 116.01
#1829 [1, 0, 0, -4906764644296…, -1050023235516…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 34.35 119.39 8.64 126.91
#1815 [1, 0, 0, -1142413426785…, 13810425722951…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 36.04 120.00 8.74 129.44
#3521 [0, 1, 0, -4727871213189…, 10333719083064…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 38.13 133.09 9.78 140.61
#1763 [0, -1, 0, -1030521694067…, 39883498265835…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 46.39 152.25 11.50 163.67
#1377 [1, 0, 0, -3052093537091…, 20523190315517…] ≥ 5 ℤ/4ℤ 42.83 149.63 13.39 194.56
#1376 [1, 0, 0, -3052093665091…, 20523188508026…] ≥ 5 ℤ/2ℤ × ℤ/4ℤ 42.83 172.10 13.74 194.56
#1373 [0, 1, 0, -3929, 93415] ≥ 4 ℤ/2ℤ 15.30 22.59 0.80 36.44
#3758 [0, 1, 0, -6199, 185805] ≥ 4 ℤ/2ℤ 16.13 19.66 0.78 37.81
#3564 [0, 0, 0, 1746004, -261650384] ≥ 4 ℤ/4ℤ 18.25 47.36 2.64 54.73
#3755 [0, -1, 0, -9469635, 11219414691] ≥ 4 ℤ/2ℤ 20.63 21.32 2.24 59.80
#2122 [0, 1, 0, -30867739684, 20710921965930…] ≥ 4 ℤ/2ℤ × ℤ/4ℤ 21.61 72.45 4.86 84.07
#1378 [1, 0, 0, -1148701945424…, -1342517594919…] ≥ 4 ℤ/2ℤ × ℤ/6ℤ 61.14 313.80 24.88 322.88
#3876 [1, 1, 1, -32658450, 71822280750] ≥ 3 ℤ/4ℤ 15.88 21.17 2.50 63.52
#3759 [0, 1, 1, -73844607, 244220728125] ≥ 3 ℤ/3ℤ 16.49 16.49 2.63 65.97

Contributions to other curves (1)

curve a-invariants contribution rank when
#308 [0, 0, 0, 0, 24537619889008718205152851658505801] improved rank ≥ 15 → ≥ 17 17