| Label |
Class |
Conductor |
Discriminant |
Rank* |
2-Selmer rank |
Torsion |
$\textrm{End}^0(J_{\overline\Q})$ |
$\textrm{End}^0(J)$ |
$\GL_2\textsf{-type}$ |
Sato-Tate |
Nonmaximal primes |
$\Q$-simple |
\(\overline{\Q}\)-simple |
\(\Aut(X)\) |
\(\Aut(X_{\overline{\Q}})\) |
$\Q$-points |
$\Q$-Weierstrass points |
mod-$\ell$ images |
Locally solvable |
Square Ш* |
Analytic Ш* |
Tamagawa |
Regulator |
Real period |
Leading coefficient |
Igusa-Clebsch invariants |
Igusa invariants |
G2-invariants |
Equation |
| 4158.a.16632.1 |
4158.a |
\( 2 \cdot 3^{3} \cdot 7 \cdot 11 \) |
\( - 2^{3} \cdot 3^{3} \cdot 7 \cdot 11 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
|
|
$8$ |
\( 3 \) |
\(1.000000\) |
\(1.221349\) |
\(0.814233\) |
$[260796,1850978385,134364376171431,2128896]$ |
$[65199,99997134,172172445984,306511124374215,16632]$ |
$[43635595725427687775037/616,513235392243926913579/308,44004900412520412]$ |
$y^2 + (x^2 + x)y = -15x^6 + 32x^5 - 53x^4 + 64x^3 - 53x^2 + 32x - 15$ |
| 5040.c.141120.1 |
5040.c |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$0$ |
$5$ |
$\Z/4\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 2^{3} \) |
\(1.000000\) |
\(3.617301\) |
\(0.904325\) |
$[3388552,174712,197326050612,564480]$ |
$[1694276,119607102722,11258185829425920,1192153758196342556159,141120]$ |
$[218142768611210403574323981584/2205,9089279812657801356650662498/2205,229006686528379459553216]$ |
$y^2 + (x^3 + x)y = -x^6 - 36x^4 - 560x^2 - 2940$ |
| 7140.a.14280.1 |
7140.a |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.45.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(0.565877\) |
\(1.131754\) |
$[40716,-1225313367,-3692075477589,1827840]$ |
$[10179,55371892,-90637046256,-997160229374872,14280]$ |
$[36425398951350015633/4760,4866575441726570949/1190,-391295389699815354/595]$ |
$y^2 + (x^2 + x + 1)y = 7x^6 + 39x^5 + 2x^4 + 28x^3 - 14x^2 - 8x - 1$ |
| 8960.b.8960.1 |
8960.b |
\( 2^{8} \cdot 5 \cdot 7 \) |
\( - 2^{8} \cdot 5 \cdot 7 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(3.515644\) |
\(0.781254\) |
$[29416,401950,3856349254,1120]$ |
$[29416,35786244,57682311680,104031905187836,8960]$ |
$[86035585584425236096/35,3558172542444145704/35,5570598795672448]$ |
$y^2 + xy = -5x^6 - 19x^4 - 21x^2 - 7$ |
| 15840.a.633600.1 |
15840.a |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{2} \cdot 11 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 2^{2} \) |
\(1.000000\) |
\(2.659469\) |
\(1.329735\) |
$[478388,635197,101122884003,79200]$ |
$[478388,9535204808,253395837446400,7575349288450521584,633600]$ |
$[97872666473665168660951028/2475,4077846669904890347985946/2475,91526079989770404656]$ |
$y^2 + (x^2 + 1)y = -33x^6 - 83x^4 - 69x^2 - 19$ |
| 30888.a.123552.1 |
30888.a |
\( 2^{3} \cdot 3^{3} \cdot 11 \cdot 13 \) |
\( - 2^{5} \cdot 3^{3} \cdot 11 \cdot 13 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
|
|
$8$ |
\( 3 \) |
\(1.000000\) |
\(3.594858\) |
\(2.396572\) |
$[332376,527040,58267241604,494208]$ |
$[166188,1150680966,10622245645440,110305768452422391,123552]$ |
$[13338035805456768285792/13,555709070505136654788/13,2374465605757903680]$ |
$y^2 + (x^3 + x)y = -x^6 - 17x^4 - 120x^2 - 286$ |
| 30912.d.92736.1 |
30912.d |
\( 2^{6} \cdot 3 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7 \cdot 23 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
|
|
$8$ |
\( 2 \) |
\(1.000000\) |
\(2.622997\) |
\(1.165776\) |
$[282764,1297315,121785864076,11592]$ |
$[282764,3330613444,52294241220480,923485727778566396,92736]$ |
$[28244936909000890514471216/1449,1176566846346573015943724/1449,45087249203349453280]$ |
$y^2 + (x^2 + 1)y = -7x^6 - 42x^4 - 82x^2 - 52$ |
| 32640.a.32640.1 |
32640.a |
\( 2^{7} \cdot 3 \cdot 5 \cdot 17 \) |
\( - 2^{7} \cdot 3 \cdot 5 \cdot 17 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.794347\) |
\(2.397174\) |
$[392064,9213,1204027536,4080]$ |
$[392064,6404751362,139503756771840,3418390221488455679,32640]$ |
$[24124238194999818543169536/85,1005175627519469245857792/85,656976274279877246976]$ |
$y^2 + xy = -x^6 - 24x^4 - 192x^2 - 510$ |
| 33516.a.268128.1 |
33516.a |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 19 \) |
$0$ |
$4$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 2 \) |
\(1.000000\) |
\(1.677300\) |
\(1.677300\) |
$[188620,1853387257,89931925030611,34320384]$ |
$[47155,15425282,5195385612,1762270938584,268128]$ |
$[233151785646880362971875/268128,808697991173699528875/134064,16889515211131825/392]$ |
$y^2 + (x^3 + 1)y = 11x^6 + 13x^5 + 18x^4 + 29x^3 + 18x^2 + 13x + 11$ |
| 48960.b.146880.1 |
48960.b |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 17 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 17 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 2 \) |
\(1.000000\) |
\(2.975483\) |
\(0.743871\) |
$[1764736,295933,174028865904,18360]$ |
$[1764736,129762017282,12721944880154880,1403173247732733911039,146880]$ |
$[15731488995678847133655498752/135,655477711572571968505053184/135,269743094982818916663296]$ |
$y^2 + x^2y = -15x^6 - 98x^4 - 212x^2 - 153$ |
| 64584.a.775008.1 |
64584.a |
\( 2^{3} \cdot 3^{3} \cdot 13 \cdot 23 \) |
\( - 2^{5} \cdot 3^{4} \cdot 13 \cdot 23 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.4 |
|
|
$8$ |
\( 3^{2} \) |
\(1.000000\) |
\(1.013114\) |
\(2.026228\) |
$[2186424,896044320,644103557325396,3100032]$ |
$[1093212,49647012486,2998114950130560,203187348019272464631,775008]$ |
$[602402761291132205045328096/299,25024839074475756689077524/299,4623287223116884726080]$ |
$y^2 + (x^3 + x)y = -10x^6 - 77x^4 - 183x^2 - 138$ |
| 65520.a.65520.1 |
65520.a |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.128135\) |
\(2.064068\) |
$[1573720,96088,50399991420,262080]$ |
$[786860,25797844802,1127737053817920,55460595434772527999,65520]$ |
$[3770486200298841428197720000/819,157103494153138593316681400/819,10656851118019203761600]$ |
$y^2 + (x^3 + x)y = -x^6 - 28x^4 - 336x^2 - 1365$ |
| 65520.b.131040.1 |
65520.b |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
$1$ |
$6$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 2 \) |
\(0.532647\) |
\(3.186150\) |
\(1.697092\) |
$[3148328,708952,743814934788,524160]$ |
$[1574164,103249560962,9029520569946240,888368594905774644479,131040]$ |
$[302064649214662608101539958432/4095,12586012647194024913614166004/4095,170750018582492394877376]$ |
$y^2 + (x^3 + x)y = -10x^6 - 82x^4 - 227x^2 - 210$ |
| 76608.a.76608.1 |
76608.a |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2^{6} \cdot 3^{2} \cdot 7 \cdot 19 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(3.786797\) |
\(1.893399\) |
$[920224,53821,16505652732,9576]$ |
$[920224,35283806210,1803829961380608,103745160429168513023,76608]$ |
$[10310691783200514787538108416/1197,429611720754327142357775360/1197,19939239196668773298176]$ |
$y^2 + xy = -21x^6 - 88x^4 - 123x^2 - 57$ |
| 84000.a.168000.1 |
84000.a |
\( 2^{5} \cdot 3 \cdot 5^{3} \cdot 7 \) |
\( 2^{6} \cdot 3 \cdot 5^{3} \cdot 7 \) |
$0$ |
$4$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.053526\) |
\(2.026763\) |
$[3360,176340,222259800,21000]$ |
$[3360,352840,-33600,-31152240400,168000]$ |
$[2549101363200,79668449280,-2257920]$ |
$y^2 + x^3y = x^6 - x^5 - 9x^4 - 22x^3 - 26x^2 - 18x - 6$ |
| 99088.a.198176.1 |
99088.a |
\( 2^{4} \cdot 11 \cdot 563 \) |
\( - 2^{5} \cdot 11 \cdot 563 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(0.887547\) |
\(1.775094\) |
$[259120,-110984072,-9341389746260,-792704]$ |
$[129560,717905412,5406417127940,46266805629254164,-198176]$ |
$[-1140787406882816636800000/6193,-48789915619039907256000/6193,-2835968813284551037000/6193]$ |
$y^2 + (x^3 + x^2)y = -x^6 + 16x^4 - 112x^2 - 44x + 203$ |
| 110880.b.997920.1 |
110880.b |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \) |
\( - 2^{5} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 11 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 2 \) |
\(1.000000\) |
\(2.820653\) |
\(2.820653\) |
$[301016,1779448,177764185884,3991680]$ |
$[150508,943564178,7884791671680,74102716729099439,997920]$ |
$[2413503568959275073821024/31185,100531050471478334698348/31185,1610853983084794304/9]$ |
$y^2 + (x^2 + 1)y = -22x^6 - 50x^4 - 37x^2 - 9$ |
| 130944.a.261888.1 |
130944.a |
\( 2^{7} \cdot 3 \cdot 11 \cdot 31 \) |
\( - 2^{8} \cdot 3 \cdot 11 \cdot 31 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
|
|
$8$ |
\( 2 \) |
\(1.000000\) |
\(3.413460\) |
\(3.413460\) |
$[3143424,36861,38623248672,32736]$ |
$[3143424,411713077250,71899367424918528,14125634792410657849343,261888]$ |
$[399625877910537637618010554368/341,16651077252416255112265728000/341,2712785152281586381357056]$ |
$y^2 + xy = -x^6 - 48x^4 - 768x^2 - 4092$ |
| 146668.a.293336.1 |
146668.a |
\( 2^{2} \cdot 37 \cdot 991 \) |
\( 2^{3} \cdot 37 \cdot 991 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(1.229818\) |
\(2.459637\) |
$[109132,807946057,21735800790011,-37547008]$ |
$[27283,-2649332,253674768,-24487837720,-293336]$ |
$[-15116826029821931496643/293336,13450943946192898271/73334,-23603235029383794/36667]$ |
$y^2 + (x^3 + 1)y = -x^6 - 7x^5 - 10x^4 + 6x^3 - 36x^2 + 17x - 19$ |
| 154440.a.617760.1 |
154440.a |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11 \cdot 13 \) |
$1$ |
$5$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(0.277160\) |
\(2.053213\) |
\(1.138136\) |
$[1662552,14424768,7975728722052,2471040]$ |
$[831276,28790087046,1329363772513920,69049771811006088951,617760]$ |
$[459422718983529711338186784/715,19141014912697403688704364/715,1487012225607707280192]$ |
$y^2 + (x^2 + 1)y = -78x^6 - 133x^4 - 75x^2 - 14$ |
| 164970.a.329940.1 |
164970.a |
\( 2 \cdot 3^{3} \cdot 5 \cdot 13 \cdot 47 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5 \cdot 13 \cdot 47 \) |
$1$ |
$5$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 2 \) |
\(0.516843\) |
\(1.692338\) |
\(3.498692\) |
$[1820940,234549081,141169291842915,42232320]$ |
$[455235,8625181506,217660328758080,6173210937685030191,329940]$ |
$[144825306060606322087963125/2444,3013779073187369865434925/1222,136714821612226717200]$ |
$y^2 + (x^3 + 1)y = -25x^6 + x^5 - 71x^4 + x^3 - 71x^2 + x - 25$ |
| 194208.a.388416.1 |
194208.a |
\( 2^{5} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7 \cdot 17^{2} \) |
$0$ |
$4$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.5, 3.90.1 |
|
|
$8$ |
\( 2 \) |
\(1.000000\) |
\(3.535186\) |
\(3.535186\) |
$[35256,562296,6469199148,1553664]$ |
$[17628,12854050,12420274944,13429501327583,388416]$ |
$[8865719373960740304/2023,366731218725493050/2023,2871693100545984/289]$ |
$y^2 + (x^3 + x)y = -x^6 - 9x^4 - 28x^2 - 28$ |
| 213342.a.213342.1 |
213342.a |
\( 2 \cdot 3 \cdot 31^{2} \cdot 37 \) |
\( - 2 \cdot 3 \cdot 31^{2} \cdot 37 \) |
$1$ |
$5$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$8$ |
\( 1 \) |
\(0.855895\) |
\(1.163167\) |
\(1.991098\) |
$[83024,344906608,7410013104905,853368]$ |
$[41512,14317488,5115803519,1844193262646,213342]$ |
$[61636545874462391484416/106671,170701190694025580544/35557,4407894343789190368/106671]$ |
$y^2 + xy = -3x^6 - 9x^5 - 23x^4 - 48x^3 - 59x^2 - 64x - 50$ |
| 214368.a.214368.1 |
214368.a |
\( 2^{5} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \) |
\( - 2^{5} \cdot 3 \cdot 7 \cdot 11 \cdot 29 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.528201\) |
\(1.264100\) |
$[5152248,3437304,5901172070796,857472]$ |
$[2576124,276516713090,39574355198302848,6371738398193837163263,214368]$ |
$[1181850614328375287632279990944/2233,49243673574565070283796229460/2233,1225144793283224596940736]$ |
$y^2 + (x^2 + 1)y = -66x^6 - 182x^4 - 167x^2 - 51$ |
| 276848.a.276848.1 |
276848.a |
\( 2^{4} \cdot 11^{3} \cdot 13 \) |
\( - 2^{4} \cdot 11^{3} \cdot 13 \) |
$0$ |
$3$ |
$\Z/5\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.15.2, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.787647\) |
\(1.532047\) |
$[27720,4389,40230927,34606]$ |
$[27720,32013674,49292333376,85377039551111,276848]$ |
$[768542858899200000/13,32019692570712000/13,136812077740800]$ |
$y^2 + y = -x^6 - 10x^4 - 33x^2 - 36$ |
| 297360.a.297360.1 |
297360.a |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 59 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 7 \cdot 59 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(3.218655\) |
\(1.609327\) |
$[7138712,268312,638442447132,1189440]$ |
$[3569356,530845882562,105265423156340160,23483104675648248113279,297360]$ |
$[5172866923668377993791198589248/2655,215536103662669307219827216616/2655,4510066276514863082734016]$ |
$y^2 + (x^3 + x)y = -x^6 - 46x^4 - 920x^2 - 6195$ |
| 326144.a.326144.1 |
326144.a |
\( 2^{9} \cdot 7^{2} \cdot 13 \) |
\( - 2^{9} \cdot 7^{2} \cdot 13 \) |
$0$ |
$4$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.7, 3.720.4 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.183297\) |
\(0.485177\) |
$[985008,2702730,885923930532,40768]$ |
$[985008,40424896516,2211962251512832,136157063777210671100,326144]$ |
$[1811043274295478139789400064/637,75456773166861463462994016/637,6580332418013781806592]$ |
$y^2 + x^2y = -7x^6 - 63x^4 - 186x^2 - 182$ |
| 345463.a.345463.1 |
345463.a |
\( 345463 \) |
\( -345463 \) |
$0$ |
$3$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
3.80.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.696114\) |
\(4.174324\) |
$[132380,102217,4503430187,44219264]$ |
$[33095,45632367,83884613679,173462092920954,345463]$ |
$[39701958139510840934375/345463,1654093872966110981625/345463,91877057882836782975/345463]$ |
$y^2 + (x^3 + x^2 + 1)y = -x^6 - 10x^4 + 4x^3 - 42x^2 + 10x - 58$ |
| 348591.a.348591.1 |
348591.a |
\( 3 \cdot 131 \cdot 887 \) |
\( - 3 \cdot 131 \cdot 887 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(0.849432\) |
\(1.698864\) |
$[139544,1199125228,41935652566313,1394364]$ |
$[69772,2984628,127985567,5451170585,348591]$ |
$[1653506325299953556933632/348591,337918890509916091648/116197,623050632203074928/348591]$ |
$y^2 + (x^3 + x)y = -x^6 + 15x^4 - 28x^3 - 99x^2 + 363x - 356$ |
| 404736.a.404736.1 |
404736.a |
\( 2^{8} \cdot 3 \cdot 17 \cdot 31 \) |
\( - 2^{8} \cdot 3 \cdot 17 \cdot 31 \) |
$1$ |
$5$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(0.432331\) |
\(3.187878\) |
\(2.756438\) |
$[1215560,114238,46276665262,50592]$ |
$[1215560,61566011908,4157610914489856,315862925240322889724,404736]$ |
$[10366735955374038268379600000/1581,431946797145136486768013000/1581,15178358616485828425600]$ |
$y^2 + xy = -x^6 - 35x^4 - 408x^2 - 1581$ |
| 449012.a.898024.1 |
449012.a |
\( 2^{2} \cdot 112253 \) |
\( - 2^{3} \cdot 112253 \) |
$0$ |
$3$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
3.80.1 |
|
|
$8$ |
\( 3 \) |
\(1.000000\) |
\(1.363736\) |
\(3.636630\) |
$[60428,225918169,3418701707075,114947072]$ |
$[15107,95970,602044,-28790548,898024]$ |
$[786848544941745592307/898024,165439872520613355/449012,34349838510439/224506]$ |
$y^2 + (x^2 + x + 1)y = -x^6 + x^5 - 5x^4 + 14x^3 - 12x^2 + 27x - 38$ |
| 459510.a.459510.1 |
459510.a |
\( 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 53 \) |
\( - 2 \cdot 3 \cdot 5 \cdot 17^{2} \cdot 53 \) |
$0$ |
$4$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.595700\) |
\(2.297850\) |
$[78012,178113,4622163327,58817280]$ |
$[19503,15841204,17147994180,20873396580731,459510]$ |
$[940558579042975132581/153170,19585794735118436418/76585,14194536041862]$ |
$y^2 + (x^2 + x)y = -x^6 + 3x^5 - 13x^4 + 20x^3 - 41x^2 + 31x - 32$ |
| 471900.a.943800.1 |
471900.a |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1, 3.40.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(1.063966\) |
\(2.127932\) |
$[177620,621435529,35388246892229,120806400]$ |
$[44405,56265354,30561804868,-452173278895444,943800]$ |
$[6905885338921613550125/37752,32843196581350130595/6292,602618898499869937/9438]$ |
$y^2 + (x^3 + 1)y = x^6 - 31x^5 - 56x^4 + 7x^3 + 20x^2 - 3x - 1$ |
| 478464.a.478464.1 |
478464.a |
\( 2^{8} \cdot 3 \cdot 7 \cdot 89 \) |
\( - 2^{8} \cdot 3 \cdot 7 \cdot 89 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(3.142325\) |
\(6.284651\) |
$[1436728,111550,53412070322,59808]$ |
$[1436728,86007731716,6864972380431872,616442030815422572540,478464]$ |
$[23912931134167577426600825728/1869,996371269076954481339007672/1869,29616834533459421480832]$ |
$y^2 + xy = -x^6 - 37x^4 - 456x^2 - 1869$ |
| 482790.a.482790.1 |
482790.a |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 19 \) |
$1$ |
$5$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(0.513485\) |
\(1.616909\) |
\(1.660517\) |
$[258956,284225353,22936728525979,61797120]$ |
$[64739,162788032,522481586340,1831248013908059,482790]$ |
$[1137181886990894545487699/482790,2007695068464697012064/21945,548820173942387686/121]$ |
$y^2 + (x^3 + 1)y = -14x^6 + 33x^5 - 61x^4 + 69x^3 - 61x^2 + 33x - 14$ |
| 482944.a.482944.1 |
482944.a |
\( 2^{7} \cdot 7^{3} \cdot 11 \) |
\( - 2^{7} \cdot 7^{3} \cdot 11 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.181378\) |
\(8.362756\) |
$[117824,12565,493334744,60368]$ |
$[117824,578428914,3786157602304,27880056195661775,482944]$ |
$[517207391403356717056/11,21549995893347446784/11,108835214625980416]$ |
$y^2 + xy = -x^6 - 16x^4 - 86x^2 - 154$ |
| 522144.a.522144.1 |
522144.a |
\( 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 37 \) |
\( - 2^{5} \cdot 3^{2} \cdot 7^{2} \cdot 37 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.695374\) |
\(5.390748\) |
$[262760,3076432,267661132044,2088576]$ |
$[131380,718683278,5238303801984,42925674856958159,522144]$ |
$[1223196724204796384900000/16317,50930194447357838375500/16317,8485061325398081600/49]$ |
$y^2 + (x^3 + x)y = -x^6 - 16x^4 - 104x^2 - 222$ |
| 537600.a.537600.1 |
537600.a |
\( 2^{10} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 7 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.496540\) |
\(2.248270\) |
$[12816,2904,12391524,2100]$ |
$[25632,27367232,38948985600,62343752889344,537600]$ |
$[3601565028668768256/175,150022758167083008/175,47599444018944]$ |
$y^2 = -6x^6 - 5x^5 - 19x^4 - 10x^3 - 19x^2 - 5x - 6$ |
| 539344.a.539344.1 |
539344.a |
\( 2^{4} \cdot 13 \cdot 2593 \) |
\( - 2^{4} \cdot 13 \cdot 2593 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.567918\) |
\(5.135835\) |
$[56720,4496440,81835622676,2157376]$ |
$[28360,32762660,49610935036,83393556836340,539344]$ |
$[1146597920784313600000/33709,46706556736980560000/33709,191834418729473200/2593]$ |
$y^2 + xy = -x^6 - 2x^5 - 11x^4 - 16x^3 - 40x^2 - 32x - 47$ |
| 548740.a.548740.1 |
548740.a |
\( 2^{2} \cdot 5 \cdot 27437 \) |
\( - 2^{2} \cdot 5 \cdot 27437 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(1.286351\) |
\(2.572701\) |
$[167212,824940097,38082033914927,70238720]$ |
$[41803,38439613,39312521235,41444369399234,548740]$ |
$[127654829703532651729243/548740,2808027502126164181351/548740,13739653907355965823/109748]$ |
$y^2 + (x^3 + 1)y = -4x^6 + 2x^5 - 14x^4 + 18x^3 - 20x^2 + 25x - 23$ |
| 585750.a.585750.1 |
585750.a |
\( 2 \cdot 3 \cdot 5^{3} \cdot 11 \cdot 71 \) |
\( - 2 \cdot 3 \cdot 5^{3} \cdot 11 \cdot 71 \) |
$1$ |
$5$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(0.348038\) |
\(2.099589\) |
\(1.461473\) |
$[1155100,57987985,22180182105575,74976000]$ |
$[288775,3472208860,55629357672900,1002033348632299475,585750]$ |
$[16065267067698561152421875/4686,334460326849742509866250/2343,7919740162986175750]$ |
$y^2 + (x^2 + x)y = -20x^6 + 13x^5 - 61x^4 + 25x^3 - 61x^2 + 13x - 20$ |
| 599040.a.599040.1 |
599040.a |
\( 2^{10} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 13 \) |
$0$ |
$5$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(4.354816\) |
\(2.177408\) |
$[14288,3832,18213588,2340]$ |
$[28576,34014272,53967363840,96300172350464,599040]$ |
$[18608322723436724224/585,775113918162249728/585,73566188592896]$ |
$y^2 = -6x^6 - 18x^5 - 41x^4 - 52x^3 - 52x^2 - 29x - 12$ |
| 658560.b.658560.1 |
658560.b |
\( 2^{7} \cdot 3 \cdot 5 \cdot 7^{3} \) |
\( - 2^{7} \cdot 3 \cdot 5 \cdot 7^{3} \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.270.2 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.002665\) |
\(4.005330\) |
$[170184,4955055,277414563741,82320]$ |
$[170184,1203471374,11319223534080,119501847471605711,658560]$ |
$[1083847776562356970752/5,45036704217572160408/5,497804412631857408]$ |
$y^2 + xy = -30x^6 - 59x^4 - 37x^2 - 7$ |
| 679024.a.679024.1 |
679024.a |
\( 2^{4} \cdot 31 \cdot 37^{2} \) |
\( - 2^{4} \cdot 31 \cdot 37^{2} \) |
$0$ |
$3$ |
$\Z/3\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.15.2, 3.720.4 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.993255\) |
\(2.660672\) |
$[8328,352725,909501207,84878]$ |
$[8328,2654666,1072556352,471249431975,679024]$ |
$[2503707555146139648/42439,95832331547948352/42439,149975347108608/1369]$ |
$y^2 + y = -x^6 - 8x^4 - 18x^2 - 8$ |
| 710400.a.710400.1 |
710400.a |
\( 2^{8} \cdot 3 \cdot 5^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 37 \) |
$0$ |
$4$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(2.954415\) |
\(5.908831\) |
$[87720,381894,11088552846,88800]$ |
$[87720,320362004,1558818728448,8526941313140636,710400]$ |
$[270515333041035696000/37,11262521732311220760/37,16884566240923008]$ |
$y^2 + xy = -x^6 - 15x^4 - 72x^2 - 111$ |
