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Label Class Conductor Rank* Torsion $\textrm{End}^0(J_{\overline\Q})$ Igusa-Clebsch invariants Igusa invariants G2-invariants Equation
7662.b.45972.1 7662.b \( 2 \cdot 3 \cdot 1277 \) $2$ $\mathsf{trivial}$ \(\Q\) $[500,19129,2141869,5884416]$ $[125,-146,2448,71171,45972]$ $[30517578125/45972,-142578125/22986,1062500/1277]$ $y^2 + (x^3 + 1)y = -2x^4 + x^3 + 2x^2 - x$
9426.a.509004.1 9426.a \( 2 \cdot 3 \cdot 1571 \) $2$ $\mathsf{trivial}$ \(\Q\) $[468,25113,2276253,65152512]$ $[117,-476,6100,121781,509004]$ $[270672597/6284,-2352987/1571,257725/1571]$ $y^2 + (x^3 + 1)y = 3x^3 + 4x^2 + x$
12330.a.73980.1 12330.a \( 2 \cdot 3^{2} \cdot 5 \cdot 137 \) $2$ $\Z/2\Z$ \(\Q\) $[684,49833,15970923,9469440]$ $[171,-858,-111616,-4955625,73980]$ $[5415228513/2740,-79447797/1370,-30220032/685]$ $y^2 + (x^3 + x^2 + x)y = 2x^3 - 3x + 1$
14394.a.259092.1 14394.a \( 2 \cdot 3 \cdot 2399 \) $2$ $\mathsf{trivial}$ \(\Q\) $[468,8553,339381,33163776]$ $[117,214,10576,297899,259092]$ $[812017791/9596,6347133/4798,1340508/2399]$ $y^2 + (x^3 + 1)y = x^5 + x^4 + 3x^2 + 3x$
16824.a.403776.1 16824.a \( 2^{3} \cdot 3 \cdot 701 \) $2$ $\Z/3\Z$ \(\Q\) $[136,8512,221804,1615104]$ $[68,-1226,2880,-326809,403776]$ $[22717712/6309,-6023338/6309,23120/701]$ $y^2 + (x^3 + x)y = x^5 + 3x^2 + 3x + 1$
28542.c.171252.1 28542.c \( 2 \cdot 3 \cdot 67 \cdot 71 \) $2$ $\mathsf{trivial}$ \(\Q\) $[148,14953,-685963,21920256]$ $[37,-566,16048,68355,171252]$ $[69343957/171252,-14334799/85626,5492428/42813]$ $y^2 + (x^3 + x^2 + x)y = x^4 + 2x^3 - x^2 - 2x$
33336.a.800064.1 33336.a \( 2^{3} \cdot 3^{2} \cdot 463 \) $2$ $\mathsf{trivial}$ \(\Q\) $[216,7920,689076,-3200256]$ $[108,-834,-34048,-1093185,-800064]$ $[-8503056/463,607986/463,229824/463]$ $y^2 + (x + 1)y = x^6 - 2x^5 - 2x^4 + x^3 + x^2$
35544.a.853056.1 35544.a \( 2^{3} \cdot 3 \cdot 1481 \) $2$ $\mathsf{trivial}$ \(\Q\) $[128,2620,420388,-3412224]$ $[64,-266,-38340,-631129,-853056]$ $[-16777216/13329,1089536/13329,272640/1481]$ $y^2 + (x + 1)y = x^6 + x^4 - 2x^2$
38466.a.692388.1 38466.a \( 2 \cdot 3^{2} \cdot 2137 \) $2$ $\mathsf{trivial}$ \(\Q\) $[2900,165049,138935309,-88625664]$ $[725,15024,337428,4728681,-692388]$ $[-200304189453125/692388,-477109812500/57699,-4926683125/19233]$ $y^2 + (x^2 + x + 1)y = 6x^5 + 9x^4 - 4x^2 - x$
40152.a.963648.1 40152.a \( 2^{3} \cdot 3 \cdot 7 \cdot 239 \) $2$ $\mathsf{trivial}$ \(\Q\) $[32,4396,-95924,3854592]$ $[16,-722,13924,-74625,963648]$ $[16384/15057,-46208/15057,55696/15057]$ $y^2 + (x + 1)y = x^6 + 4x^5 + 3x^4$
83999.a.83999.1 83999.a \( 19 \cdot 4421 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1428,53145,22805757,10751872]$ $[357,3096,8168,-1667310,83999]$ $[5798839393557/83999,140865811128/83999,1041003432/83999]$ $y^2 + (x^3 + 1)y = 3x^5 + 9x^4 + 8x^3 - 2x$
91771.a.91771.1 91771.a \( 91771 \) $3$ $\mathsf{trivial}$ \(\Q\) $[96,-2160,-15984,367084]$ $[48,456,-2768,-85200,91771]$ $[254803968/91771,50429952/91771,-6377472/91771]$ $y^2 + y = x^5 + x^4 - x^2 - x$
94961.a.94961.1 94961.a \( 94961 \) $3$ $\mathsf{trivial}$ \(\Q\) $[980,22105,6915165,-12155008]$ $[245,1580,680,-582450,-94961]$ $[-882735153125/94961,-23235677500/94961,-40817000/94961]$ $y^2 + (x^2 + x + 1)y = x^5 + x^4 - 3x^3 - 2x^2 + x$
125237.a.125237.1 125237.a \( 7 \cdot 17891 \) $3$ $\mathsf{trivial}$ \(\Q\) $[600,5760,1142136,500948]$ $[300,2790,15596,-776325,125237]$ $[2430000000000/125237,75330000000/125237,200520000/17891]$ $y^2 + y = x^5 - x^4 - 3x^3 + x^2 + 2x$
140615.a.703075.1 140615.a \( 5 \cdot 28123 \) $3$ $\mathsf{trivial}$ \(\Q\) $[72,-1008,253656,2812300]$ $[36,222,-29756,-280125,703075]$ $[60466176/703075,10357632/703075,-38563776/703075]$ $y^2 + y = x^5 + 2x^4 - 3x^3 + x^2 - x$
141991.b.141991.1 141991.b \( 141991 \) $3$ $\mathsf{trivial}$ \(\Q\) $[660,5337,754461,-18174848]$ $[165,912,10112,209184,-141991]$ $[-122298103125/141991,-4096818000/141991,-275299200/141991]$ $y^2 + (x^2 + x + 1)y = x^5 - 2x^4 - 2x^3 + x^2$
143313.a.429939.1 143313.a \( 3 \cdot 23 \cdot 31 \cdot 67 \) $3$ $\mathsf{trivial}$ \(\Q\) $[40,-6080,642680,1719756]$ $[20,1030,-77020,-650325,429939]$ $[3200000/429939,8240000/429939,-30808000/429939]$ $y^2 + x^3y = x^5 - 5x^3 - 5x^2 + 5x + 6$
143482.a.286964.1 143482.a \( 2 \cdot 71741 \) $3$ $\mathsf{trivial}$ \(\Q\) $[24,7272,-144549,1147856]$ $[12,-1206,20105,-303294,286964]$ $[62208/71741,-520992/71741,723780/71741]$ $y^2 + (x + 1)y = x^6 + x^5 - 2x^4 - x^3 + x^2$
143849.a.143849.1 143849.a \( 19 \cdot 67 \cdot 113 \) $3$ $\mathsf{trivial}$ \(\Q\) $[2964,-11895,-21353019,18412672]$ $[741,23374,1136380,73928426,143849]$ $[11758107837879/7571,500534552466/7571,32840245620/7571]$ $y^2 + (x^2 + x + 1)y = -x^5 + 3x^4 - 9x^2 + x + 6$
144203.a.144203.1 144203.a \( 144203 \) $3$ $\mathsf{trivial}$ \(\Q\) $[40,-1664,22552,576812]$ $[20,294,-4028,-41749,144203]$ $[3200000/144203,2352000/144203,-1611200/144203]$ $y^2 + y = x^5 - 2x^4 + x^3 + 2x^2 - 2x$
146594.a.293188.1 146594.a \( 2 \cdot 7 \cdot 37 \cdot 283 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1320,22896,9789003,-1172752]$ $[660,14334,277433,-5589444,-293188]$ $[-31308314400000/73297,-1030241916000/73297,-30212453700/73297]$ $y^2 + xy = x^5 + 3x^4 - x^3 - 7x^2 + 4$
150443.a.150443.1 150443.a \( 23 \cdot 31 \cdot 211 \) $3$ $\mathsf{trivial}$ \(\Q\) $[280,1216,63768,-601772]$ $[140,614,7148,155931,-150443]$ $[-53782400000/150443,-1684816000/150443,-140100800/150443]$ $y^2 + y = x^5 - 2x^4 - x^3 + 2x^2$
151507.a.151507.1 151507.a \( 151507 \) $3$ $\mathsf{trivial}$ \(\Q\) $[20,7129,-207011,19392896]$ $[5,-296,3288,-17794,151507]$ $[3125/151507,-37000/151507,82200/151507]$ $y^2 + (x^2 + x + 1)y = x^5 - x^4 + x^2 - x$
153499.a.153499.1 153499.a \( 153499 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1396,40441,18768877,19647872]$ $[349,3390,1076,-2779144,153499]$ $[5177583776749/153499,144103981110/153499,131057876/153499]$ $y^2 + (x^2 + x + 1)y = x^5 - 4x^3 - x^2 + 2x$
157137.a.471411.1 157137.a \( 3 \cdot 52379 \) $3$ $\mathsf{trivial}$ \(\Q\) $[180,-15495,-3934035,-60340608]$ $[45,730,46780,393050,-471411]$ $[-20503125/52379,-7391250/52379,-10525500/52379]$ $y^2 + (x^3 + 1)y = 2x^3 - 5x^2 + 2x$
159482.a.318964.1 159482.a \( 2 \cdot 23 \cdot 3467 \) $3$ $\mathsf{trivial}$ \(\Q\) $[104,2872,104963,1275856]$ $[52,-366,-4423,-90988,318964]$ $[95051008/79741,-12865632/79741,-2989948/79741]$ $y^2 + xy = x^5 + x^4 + x^3 + x^2 + x + 1$
160507.a.160507.1 160507.a \( 160507 \) $3$ $\mathsf{trivial}$ \(\Q\) $[224,3856,161264,-642028]$ $[112,-120,5328,145584,-160507]$ $[-17623416832/160507,168591360/160507,-66834432/160507]$ $y^2 + y = x^5 + 2x^4 - 2x^3 - x^2$
164326.a.328652.1 164326.a \( 2 \cdot 82163 \) $3$ $\mathsf{trivial}$ \(\Q\) $[500,21049,1530861,-42067456]$ $[125,-226,13712,415731,-328652]$ $[-30517578125/328652,220703125/164326,-53562500/82163]$ $y^2 + (x^3 + 1)y = 2x^4 + x^3 - 2x^2 - x$
166319.a.166319.1 166319.a \( 166319 \) $3$ $\mathsf{trivial}$ \(\Q\) $[24,-3492,-159705,665276]$ $[12,588,15809,-39009,166319]$ $[248832/166319,1016064/166319,2276496/166319]$ $y^2 + xy = x^5 - x^3 - x^2 + 1$
168328.a.336656.1 168328.a \( 2^{3} \cdot 53 \cdot 397 \) $3$ $\mathsf{trivial}$ \(\Q\) $[496,3172,816364,1346624]$ $[248,2034,-18980,-2211049,336656]$ $[58632501248/21041,1939036608/21041,-72959120/21041]$ $y^2 + (x^3 + x)y = x^5 - x^4 - x^3 + x^2 - 2x + 1$
183902.a.367804.1 183902.a \( 2 \cdot 91951 \) $3$ $\mathsf{trivial}$ \(\Q\) $[2144,70216,44820647,1471216]$ $[1072,36180,1356401,36267368,367804]$ $[353927196049408/91951,11142763868160/91951,389688581696/91951]$ $y^2 + xy = x^5 - 6x^3 - x^2 + 8x + 4$
184029.a.552087.1 184029.a \( 3 \cdot 61343 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1396,77497,29789069,70667136]$ $[349,1846,-2300,-1052604,552087]$ $[5177583776749/552087,78470781454/552087,-280142300/552087]$ $y^2 + (x^2 + x + 1)y = x^5 + 3x^4 - 3x^3 - 3x^2$
191872.a.383744.1 191872.a \( 2^{7} \cdot 1499 \) $3$ $\mathsf{trivial}$ \(\Q\) $[6,102,-1236,1499]$ $[12,-266,9700,11411,383744]$ $[972/1499,-3591/2998,21825/5996]$ $y^2 + y = 2x^5 + x^4 - x^3$
197317.a.197317.1 197317.a \( 23^{2} \cdot 373 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1048,31648,8995208,789268]$ $[524,6166,101340,3770651,197317]$ $[39505397402624/197317,887150662784/197317,27825531840/197317]$ $y^2 + y = x^5 - 3x^4 - x^3 + 7x^2 - 2x$
206111.a.206111.1 206111.a \( 79 \cdot 2609 \) $3$ $\mathsf{trivial}$ \(\Q\) $[788,34153,6373269,-26382208]$ $[197,194,7052,337902,-206111]$ $[-296709280757/206111,-1483202362/206111,-273681068/206111]$ $y^2 + (x^3 + x^2 + x)y = 3x^4 + 3x^3 - x^2 - x$
209889.a.629667.1 209889.a \( 3^{2} \cdot 23321 \) $3$ $\mathsf{trivial}$ \(\Q\) $[300,30825,2650347,-80597376]$ $[75,-1050,-9076,-445800,-629667]$ $[-87890625/23321,16406250/23321,5672500/69963]$ $y^2 + (x^3 + x^2 + x)y = 2x^4 + 2x^3 + x^2 - x$
215851.a.215851.1 215851.a \( 215851 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1108,50089,14937781,-27628928]$ $[277,1110,2316,-147642,-215851]$ $[-1630793025157/215851,-23591865630/215851,-177704364/215851]$ $y^2 + (x^2 + x + 1)y = x^5 + x^4 - 4x^3 - x^2 + x$
216423.a.649269.1 216423.a \( 3^{2} \cdot 139 \cdot 173 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1056,43488,12553920,2597076]$ $[528,4368,8896,-3595584,649269]$ $[1519867920384/24047,23813357568/24047,1982464/519]$ $y^2 + y = x^5 - 8x^3 + 10x^2 - 3x$
225411.a.676233.1 225411.a \( 3 \cdot 227 \cdot 331 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1492,130105,48423725,-86557824]$ $[373,376,9256,827778,-676233]$ $[-7220115733093/676233,-19512563992/676233,-1287778024/676233]$ $y^2 + (x^3 + 1)y = x^5 - 5x^3 + x^2 + 2x$
226133.a.226133.1 226133.a \( 226133 \) $3$ $\mathsf{trivial}$ \(\Q\) $[192,10368,376272,904532]$ $[96,-1344,6320,-299904,226133]$ $[8153726976/226133,-1189085184/226133,58245120/226133]$ $y^2 + y = x^5 + 2x^4 - 6x^3 + 4x^2 - x$
233138.a.466276.1 233138.a \( 2 \cdot 17 \cdot 6857 \) $3$ $\mathsf{trivial}$ \(\Q\) $[692,15193,901341,59683328]$ $[173,614,29888,1198407,466276]$ $[154963892093/466276,1589559119/233138,223629488/116569]$ $y^2 + (x^2 + x + 1)y = 2x^5 - x^4 - 3x^3$
233344.a.466688.1 233344.a \( 2^{7} \cdot 1823 \) $3$ $\mathsf{trivial}$ \(\Q\) $[150,450,15336,1823]$ $[300,2550,53444,2382675,466688]$ $[9492187500/1823,537890625/3646,75155625/7292]$ $y^2 + y = 2x^5 - x^4 - 3x^3 + x^2 + x$
235606.a.471212.1 235606.a \( 2 \cdot 7 \cdot 16829 \) $3$ $\mathsf{trivial}$ \(\Q\) $[208,1336,318649,1884848]$ $[104,228,-26369,-698590,471212]$ $[3041632256/117803,64117248/117803,-10185968/16829]$ $y^2 + (x + 1)y = x^6 - x^5 + x^4 - 2x^2$
249362.a.498724.1 249362.a \( 2 \cdot 41 \cdot 3041 \) $3$ $\mathsf{trivial}$ \(\Q\) $[4212,154569,192076389,-63836672]$ $[1053,39760,1918804,109910753,-498724]$ $[-1294618640600493/498724,-11605704217380/124681,-531896786109/124681]$ $y^2 + (x^2 + x + 1)y = 2x^5 - 9x^4 + 9x^3 - 2x$
249478.a.498956.1 249478.a \( 2 \cdot 124739 \) $3$ $\mathsf{trivial}$ \(\Q\) $[1832,33760,22104779,-1995824]$ $[916,29334,754697,-42295276,-498956]$ $[-161219428390144/124739,-5636346933216/124739,-158308261508/124739]$ $y^2 + (x^2 + 1)y = 2x^5 + 5x^4 - 5x^2 + x$
251578.a.503156.1 251578.a \( 2 \cdot 125789 \) $3$ $\mathsf{trivial}$ \(\Q\) $[696,-4464,-2086677,2012624]$ $[348,5790,257489,14020518,503156]$ $[1275957556992/125789,61003717920/125789,7795736964/125789]$ $y^2 + xy = x^6 - x^5 - 2x^4 + 3x^3 + x^2 - 2x$
252040.b.504080.1 252040.b \( 2^{3} \cdot 5 \cdot 6301 \) $3$ $\mathsf{trivial}$ \(\Q\) $[272,28852,618836,-2016320]$ $[136,-4038,118724,-39745,-504080]$ $[-2907867136/31505,634838208/31505,-137244944/31505]$ $y^2 + (x + 1)y = -2x^5 + 3x^4 + 6x^3 + 2x^2$
253832.a.507664.1 253832.a \( 2^{3} \cdot 31729 \) $3$ $\mathsf{trivial}$ \(\Q\) $[976,22420,8941756,-2030656]$ $[488,6186,-217988,-36161185,-507664]$ $[-1729733224448/31729,-44931342912/31729,3244533392/31729]$ $y^2 + (x^3 + x^2)y = -2x^4 + 7x^2 - 10x + 4$
254848.b.509696.1 254848.b \( 2^{7} \cdot 11 \cdot 181 \) $3$ $\mathsf{trivial}$ \(\Q\) $[374,-62,-48328,1991]$ $[748,23478,1278084,101197587,509696]$ $[83152505348/181,6978518547/362,1015757259/724]$ $y^2 + y = 2x^5 - 7x^4 + 5x^3 + 2x^2$
261357.a.784071.1 261357.a \( 3 \cdot 87119 \) $3$ $\mathsf{trivial}$ \(\Q\) $[3604,88249,-5939923,100361088]$ $[901,30148,2695912,380028702,784071]$ $[593777798104501/784071,22051233069748/784071,2188544057512/784071]$ $y^2 + (x^2 + x + 1)y = x^5 - 6x^3 - 3x^2 + 6x + 6$
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