| 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 |
| 277.a.277.2 |
277.a |
\( 277 \) |
\( 277 \) |
$0$ |
$0$ |
$\Z/5\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(3.578417\) |
\(0.143137\) |
$[4480,1370512,1511819744,-1108]$ |
$[2240,-19352,164384,-1569936,-277]$ |
$[-56394933862400000/277,217505333248000/277,-824813158400/277]$ |
$y^2 + y = x^5 - 9x^4 + 14x^3 - 19x^2 + 11x - 6$ |
| 295.a.295.2 |
295.a |
\( 5 \cdot 59 \) |
\( - 5 \cdot 59 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.597073\) |
\(0.149268\) |
$[198804,305807001,18482629056189,-37760]$ |
$[49701,90182600,203402032096,494095763610824,-295]$ |
$[-303267334973269931148501/295,-2214359494206283568520/59,-502441543825401014496/295]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 40x^3 + 22x^2 + 389x - 608$ |
| 461.a.461.2 |
461.a |
\( 461 \) |
\( 461 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,7$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.245886\) |
\(0.245886\) |
$[80664,166117104,3752725952952,1844]$ |
$[40332,40091742,45075737276,52661714805267,461]$ |
$[106720731303787612818432/461,2630293443843585469056/461,73323359651716069824/461]$ |
$y^2 + y = x^5 - x^4 - 39x^3 + 10x^2 + 272x - 306$ |
| 604.a.9664.1 |
604.a |
\( 2^{2} \cdot 151 \) |
\( 2^{6} \cdot 151 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.720.5 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.291788\) |
\(0.291788\) |
$[49556,-797087975,-23996873337603,1236992]$ |
$[12389,39607304,223396249616,299729401586052,9664]$ |
$[291864493641401980949/9664,9414430497536890397/1208,2143030742187944921/604]$ |
$y^2 + (x^2 + x + 1)y = 4x^5 + 9x^4 + 48x^3 - 4x^2 - 53x - 21$ |
| 810.a.196830.1 |
810.a |
\( 2 \cdot 3^{4} \cdot 5 \) |
\( - 2 \cdot 3^{9} \cdot 5 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.640.4 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(0.328982\) |
\(0.328982\) |
$[103200,92148840,2874875039973,-3240]$ |
$[154800,860236740,5905731060081,43549979813677800,-196830]$ |
$[-451609936896000000000,-16212110811776000000,-2156977131869584000/3]$ |
$y^2 + (x + 1)y = x^5 + 15x^4 + 20x^3 - 297x^2 + 94x - 8$ |
| 880.a.225280.1 |
880.a |
\( 2^{4} \cdot 5 \cdot 11 \) |
\( - 2^{12} \cdot 5 \cdot 11 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.640.4 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(1.515082\) |
\(0.378770\) |
$[2342,111952,73574536,-880]$ |
$[4684,615622,103120196,26006137795,-225280]$ |
$[-2201833501574851/220,-494259267301121/1760,-35350660170809/3520]$ |
$y^2 = x^5 + 13x^4 + 55x^3 + 76x^2 - 44$ |
| 1038.a.1038.1 |
1038.a |
\( 2 \cdot 3 \cdot 173 \) |
\( 2 \cdot 3 \cdot 173 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(15.397347\) |
\(0.427704\) |
$[109988,334849,12332566337,132864]$ |
$[27497,31489590,48060441688,82480921681709,1038]$ |
$[15719059879327073637257/1038,109111794064913809345/173,18168889743107727596/519]$ |
$y^2 + (x^2 + x)y = x^5 - 12x^4 + 26x^3 + 46x^2 + 21x + 3$ |
| 1077.b.1077.2 |
1077.b |
\( 3 \cdot 359 \) |
\( 3 \cdot 359 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.406291\) |
\(0.406291\) |
$[107840,22281904,765878465200,4308]$ |
$[53920,117426616,333407026000,1047074174177136,1077]$ |
$[455773864377135923200000/1077,18408406506675601408000/1077,969336384916326400000/1077]$ |
$y^2 + y = x^5 + 14x^4 + 38x^3 - 79x^2 + 15x - 1$ |
| 1109.a.1109.1 |
1109.a |
\( 1109 \) |
\( 1109 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.288506\) |
\(0.288506\) |
$[38880,87301728,855606760992,4436]$ |
$[19440,1196112,510249312,2122140677184,1109]$ |
$[2776395315422822400000/1109,8787404722987008000/1109,192830154395443200/1109]$ |
$y^2 + y = x^5 - 6x^4 - 36x^3 - 6x^2 + 63x - 36$ |
| 1216.a.19456.1 |
1216.a |
\( 2^{6} \cdot 19 \) |
\( - 2^{10} \cdot 19 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(1.625809\) |
\(0.406452\) |
$[3996,347595,394636194,-2432]$ |
$[3996,433604,54136720,7079476076,-19456]$ |
$[-995009990004999/19,-108076122094599/76,-3376781293545/76]$ |
$y^2 + x^2y = 4x^5 + 3x^4 - 11x^3 - 6x^2 + 6x - 1$ |
| 1270.a.325120.1 |
1270.a |
\( 2 \cdot 5 \cdot 127 \) |
\( 2^{9} \cdot 5 \cdot 127 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(1.894604\) |
\(0.473651\) |
$[239204,126763297,10436094933809,41615360]$ |
$[59801,143724846,437833820176,1381517230655315,325120]$ |
$[764790054928595680699001/325120,15368348330455841308623/162560,97860226229056869361/20320]$ |
$y^2 + (x^2 + x)y = x^5 + 17x^4 + 76x^3 + 14x^2 - 32x + 3$ |
| 1309.a.9163.2 |
1309.a |
\( 7 \cdot 11 \cdot 17 \) |
\( - 7^{2} \cdot 11 \cdot 17 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(0.846601\) |
\(0.423301\) |
$[1740928,18364336,10627907866359,-36652]$ |
$[870464,31568088248,1526311891463681,83013839664381477120,-9163]$ |
$[-10199009421268235327400574976/187,-424917527486779411910361088/187,-23602001682171372468506624/187]$ |
$y^2 + x^2y = -x^6 + 20x^5 - 128x^4 + 248x^3 + 32x^2 + x$ |
| 1328.a.84992.1 |
1328.a |
\( 2^{4} \cdot 83 \) |
\( 2^{10} \cdot 83 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(4.469809\) |
\(0.558726\) |
$[1976,82321,62111043,10624]$ |
$[1976,107810,-7226608,-6475693377,84992]$ |
$[29419463232224/83,812306465815/83,-27555507967/83]$ |
$y^2 + (x + 1)y = 4x^5 + 9x^4 + 16x^3 + 13x^2 + 8x + 1$ |
| 1532.a.392192.1 |
1532.a |
\( 2^{2} \cdot 383 \) |
\( 2^{10} \cdot 383 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.518452\) |
\(0.518452\) |
$[52500,33335793,517241464281,50200576]$ |
$[13125,5788743,3113886477,1840053622644,392192]$ |
$[389490222930908203125/392192,13088268780029296875/392192,536415600139453125/392192]$ |
$y^2 + (x^2 + x + 1)y = x^5 + 7x^4 - 53x^2 + 12x - 1$ |
| 1696.a.27136.1 |
1696.a |
\( 2^{5} \cdot 53 \) |
\( 2^{9} \cdot 53 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(5.081240\) |
\(0.635155\) |
$[200,25297,3015545,3392]$ |
$[200,-15198,-1725040,-143996801,27136]$ |
$[625000000/53,-237468750/53,-134768750/53]$ |
$y^2 + (x + 1)y = 4x^5 + 7x^4 + 8x^3 + 3x^2 - 1$ |
| 1701.a.1701.1 |
1701.a |
\( 3^{5} \cdot 7 \) |
\( 3^{5} \cdot 7 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.723792\) |
\(0.723792\) |
$[84128,228576,6363290016,28]$ |
$[126192,663174672,4644628928416,36578592038091072,1701]$ |
$[131690013992224449101824/7,16452745612696372576256/21,8218113979245079207936/189]$ |
$y^2 + y = x^5 + 19x^4 + 86x^3 - 60x^2 + 12x - 1$ |
| 1738.a.137302.1 |
1738.a |
\( 2 \cdot 11 \cdot 79 \) |
\( - 2 \cdot 11 \cdot 79^{2} \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(0.974167\) |
\(0.487083\) |
$[15560,2578060,42581573889,549208]$ |
$[7780,2092340,-2712635321,-6370547368245,137302]$ |
$[14251743233518400000/68651,492652910653840000/68651,-7463248898346200/6241]$ |
$y^2 + xy = x^5 - 5x^3 - 66x^2 - 101x - 41$ |
| 1888.a.483328.2 |
1888.a |
\( 2^{5} \cdot 59 \) |
\( - 2^{13} \cdot 59 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(2.440736\) |
\(0.610184\) |
$[5152,10096,15976476,-1888]$ |
$[10304,4396928,2495856896,1596083404800,-483328]$ |
$[-14178794445340672/59,-587187714584576/59,-32347553300608/59]$ |
$y^2 = x^5 + 8x^4 + 8x^3 - 31x^2 + 20x - 4$ |
| 1911.a.5733.1 |
1911.a |
\( 3 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 7^{2} \cdot 13 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(4.053105\) |
\(0.506638\) |
$[2080,370000,181508649,-22932]$ |
$[1040,-16600,251039,-3619860,-5733]$ |
$[-93588684800000/441,1436364800000/441,-20886444800/441]$ |
$y^2 + x^2y = x^5 - 4x^4 - 8x^2 - x - 4$ |
| 1935.a.52245.2 |
1935.a |
\( 3^{2} \cdot 5 \cdot 43 \) |
\( - 3^{5} \cdot 5 \cdot 43 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(0.234547\) |
\(0.469095\) |
$[307168,3207396712,267640995335223,-208980]$ |
$[153584,448269092,1453877009505,5586766946327864,-52245]$ |
$[-85453503231099874048999424/52245,-1623965199773111994400768/52245,-762091475690810672384/1161]$ |
$y^2 + xy = x^5 - 2x^4 - 82x^3 - 20x^2 + 927x - 1134$ |
| 2166.b.123462.1 |
2166.b |
\( 2 \cdot 3 \cdot 19^{2} \) |
\( 2 \cdot 3^{2} \cdot 19^{3} \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.640.2 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(6.422561\) |
\(0.713618\) |
$[1376,30520,15543375,493848]$ |
$[688,14636,-1079,-53738712,123462]$ |
$[77074762563584/61731,2383184797696/61731,-255369088/61731]$ |
$y^2 + (x^3 + x)y = -x^6 - x^5 + 5x^3 + 8x^2 + 7x + 3$ |
| 2190.a.219000.1 |
2190.a |
\( 2 \cdot 3 \cdot 5 \cdot 73 \) |
\( 2^{3} \cdot 3 \cdot 5^{3} \cdot 73 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(2.455958\) |
\(0.613989\) |
$[99428,44889553,1557013712441,28032000]$ |
$[24857,23874204,26841253636,24303856249109,219000]$ |
$[9489505057166653016057/219000,30555809334100436981/18250,4146104358949550641/54750]$ |
$y^2 + (x^2 + x)y = x^5 + 7x^4 - 7x^3 - 69x^2 + 105x - 26$ |
| 2223.a.6669.1 |
2223.a |
\( 3^{2} \cdot 13 \cdot 19 \) |
\( 3^{3} \cdot 13 \cdot 19 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(5.984997\) |
\(0.748125\) |
$[280,47860,7996271,26676]$ |
$[140,-7160,-571919,-32833565,6669]$ |
$[53782400000/6669,-19647040000/6669,-589979600/351]$ |
$y^2 + (x^2 + 1)y = 3x^5 + 3x^4 + 4x^3 - 1$ |
| 2298.a.20682.1 |
2298.a |
\( 2 \cdot 3 \cdot 383 \) |
\( 2 \cdot 3^{3} \cdot 383 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(9.581233\) |
\(0.798436\) |
$[20448,1259376,9050263479,82728]$ |
$[10224,4145528,2064400641,980257438700,20682]$ |
$[2068761590175891456/383,82044338061754368/383,3996151154411904/383]$ |
$y^2 + xy = x^5 + 12x^4 + 40x^3 - 111x + 63$ |
| 2341.a.2341.1 |
2341.a |
\( 2341 \) |
\( 2341 \) |
$0$ |
$0$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(8.002622\) |
\(0.889180\) |
$[64,1984,10864,-9364]$ |
$[32,-288,1808,-6272,-2341]$ |
$[-33554432/2341,9437184/2341,-1851392/2341]$ |
$y^2 + y = x^5 + 2x^4 + 2x^3 - x - 1$ |
| 2430.b.196830.1 |
2430.b |
\( 2 \cdot 3^{5} \cdot 5 \) |
\( - 2 \cdot 3^{9} \cdot 5 \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.640.2 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(7.089147\) |
\(0.787683\) |
$[103200,92148840,2874875039973,-3240]$ |
$[154800,860236740,5905731060081,43549979813677800,-196830]$ |
$[-451609936896000000000,-16212110811776000000,-2156977131869584000/3]$ |
$y^2 + xy = 9x^5 - 30x^4 - 30x^3 + 92x^2 + 77x + 15$ |
| 2634.a.2634.1 |
2634.a |
\( 2 \cdot 3 \cdot 439 \) |
\( 2 \cdot 3 \cdot 439 \) |
$0$ |
$0$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(7.365735\) |
\(0.818415\) |
$[128,3208,82809,-10536]$ |
$[64,-364,911,-18548,-2634]$ |
$[-536870912/1317,47710208/1317,-1865728/1317]$ |
$y^2 + (x + 1)y = -x^5 + x^4 - 2x^2 + x - 1$ |
| 2646.c.74088.1 |
2646.c |
\( 2 \cdot 3^{3} \cdot 7^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 7^{3} \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.1920.5 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(0.822484\) |
\(0.411242\) |
$[198144,339801120,20357260885575,296352]$ |
$[99072,352335696,1547603159089,7295924375365248,74088]$ |
$[44187649501182874877952/343,1586191742608173170688/343,70324672294639067136/343]$ |
$y^2 + xy = x^5 - 56x^3 + 45x^2 + 768x - 1448$ |
| 2735.a.13675.1 |
2735.a |
\( 5 \cdot 547 \) |
\( 5^{2} \cdot 547 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(0.310710\) |
\(0.621421\) |
$[71764,259832017,4804066188809,1750400]$ |
$[17941,2585311,598781761,1014727651845,13675]$ |
$[1858802427581887565701/13675,14929756777053326131/13675,192735562462946041/13675]$ |
$y^2 + (x^2 + x + 1)y = x^5 - x^4 - 39x^3 - 76x^2 + 24x - 6$ |
| 2816.a.180224.1 |
2816.a |
\( 2^{8} \cdot 11 \) |
\( 2^{14} \cdot 11 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(5.894096\) |
\(0.736762\) |
$[80,280,8718,22]$ |
$[320,1280,-154624,-12779520,180224]$ |
$[204800000/11,2560000/11,-966400/11]$ |
$y^2 = 2x^5 - 2x^4 + 4x^3 - 3x^2 + 2x - 1$ |
| 2928.a.8784.1 |
2928.a |
\( 2^{4} \cdot 3 \cdot 61 \) |
\( 2^{4} \cdot 3^{2} \cdot 61 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(7.224783\) |
\(0.903098\) |
$[24,3480,-29220,-35136]$ |
$[12,-574,5184,-66817,-8784]$ |
$[-1728/61,6888/61,-5184/61]$ |
$y^2 + xy = -x^6 + 3x^4 - 5x^3 + 3x^2 - x$ |
| 2955.a.369375.1 |
2955.a |
\( 3 \cdot 5 \cdot 197 \) |
\( 3 \cdot 5^{4} \cdot 197 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(1.595252\) |
\(0.797626\) |
$[75344,24010612,563833781967,1477500]$ |
$[37672,55130714,102985803841,210071394037089,369375]$ |
$[75874071095552984645632/369375,2947471737012106191872/369375,146155350252975982144/369375]$ |
$y^2 + (x + 1)y = x^5 - 34x^3 + 28x^2 + 297x - 487$ |
| 2976.a.23808.1 |
2976.a |
\( 2^{5} \cdot 3 \cdot 31 \) |
\( 2^{8} \cdot 3 \cdot 31 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(1.000000\) |
\(6.054836\) |
\(0.756854\) |
$[40,520,3456,-93]$ |
$[80,-1120,7424,-165120,-23808]$ |
$[-12800000/93,2240000/93,-185600/93]$ |
$y^2 = x^5 - 2x^2 - x - 1$ |
| 2976.b.380928.1 |
2976.b |
\( 2^{5} \cdot 3 \cdot 31 \) |
\( - 2^{12} \cdot 3 \cdot 31 \) |
$0$ |
$1$ |
$\Z/8\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(10.791226\) |
\(0.674452\) |
$[14568,-948,-4913268,-1488]$ |
$[29136,35373632,57268505856,104320336437248,-380928]$ |
$[-1708710308762717952/31,-71201351316763584/31,-3956348196400752/31]$ |
$y^2 = x^5 - 12x^4 + 28x^3 + 47x^2 + 21x + 3$ |
| 3003.a.99099.1 |
3003.a |
\( 3 \cdot 7 \cdot 11 \cdot 13 \) |
\( 3^{2} \cdot 7 \cdot 11^{2} \cdot 13 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(2.507089\) |
\(0.626772\) |
$[4032,6374544,3202701705,-396396]$ |
$[2016,-893080,258068223,-69331587208,-99099]$ |
$[-528581658673152/1573,116150583951360/1573,-16648497202176/1573]$ |
$y^2 + xy = x^5 + 6x^4 + 16x^3 - 63x - 126$ |
| 3040.a.778240.1 |
3040.a |
\( 2^{5} \cdot 5 \cdot 19 \) |
\( - 2^{13} \cdot 5 \cdot 19 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(3.066814\) |
\(0.766704\) |
$[160,-4400,493604,3040]$ |
$[320,16000,-4477184,-422174720,778240]$ |
$[81920000/19,12800000/19,-11192960/19]$ |
$y^2 = x^5 + 2x^4 + 4x^3 - 7x^2 - 12x - 4$ |
| 3071.a.3071.1 |
3071.a |
\( 37 \cdot 83 \) |
\( - 37 \cdot 83 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(2.994737\) |
\(0.748684\) |
$[2612,480337,304862441,-393088]$ |
$[653,-2247,40673,5377615,-3071]$ |
$[-118731486838493/3071,625666088019/3071,-17343333257/3071]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 6x^4 + 3x^2 - x - 1$ |
| 3124.a.49984.1 |
3124.a |
\( 2^{2} \cdot 11 \cdot 71 \) |
\( 2^{6} \cdot 11 \cdot 71 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.777255\) |
\(0.777255\) |
$[108,-7269063,24863045715,-6397952]$ |
$[27,302908,-347591616,-25284557524,-49984]$ |
$[-14348907/49984,-1490534541/12496,3959285751/781]$ |
$y^2 + (x^3 + 1)y = -3x^6 + 12x^4 + 8x^3 - 14x^2 - 18x - 5$ |
| 3209.a.3209.1 |
3209.a |
\( 3209 \) |
\( 3209 \) |
$0$ |
$0$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(7.337376\) |
\(0.815264\) |
$[236,20257,572927,-410752]$ |
$[59,-699,6351,-28473,-3209]$ |
$[-714924299/3209,143559921/3209,-22107831/3209]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 2x^4 + x^3 - 3x^2 - 1$ |
| 3248.a.3248.1 |
3248.a |
\( 2^{4} \cdot 7 \cdot 29 \) |
\( - 2^{4} \cdot 7 \cdot 29 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(15.183459\) |
\(0.948966\) |
$[10024,-1640,-5501948,-12992]$ |
$[5012,1046946,291670976,91439751199,-3248]$ |
$[-28238218147487936/29,-1176899684040024/29,-65418008194112/29]$ |
$y^2 + xy = -x^6 - 4x^5 - x^4 + 9x^3 + x^2 - 8x + 3$ |
| 3381.a.165669.1 |
3381.a |
\( 3 \cdot 7^{2} \cdot 23 \) |
\( 3 \cdot 7^{4} \cdot 23 \) |
$0$ |
$0$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(3.198952\) |
\(1.066317\) |
$[256,5488,635040,-662676]$ |
$[128,-232,-33184,-1075344,-165669]$ |
$[-34359738368/165669,486539264/165669,543686656/165669]$ |
$y^2 + y = x^5 - 4x^3 - 7x^2 - 4x - 1$ |
| 3572.b.114304.1 |
3572.b |
\( 2^{2} \cdot 19 \cdot 47 \) |
\( 2^{7} \cdot 19 \cdot 47 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(3.309797\) |
\(0.827449\) |
$[5020,1862377,2269441915,-14630912]$ |
$[1255,-11973,107455,-2124176,-114304]$ |
$[-3113283207034375/114304,23666506777875/114304,-169244311375/114304]$ |
$y^2 + (x^2 + x)y = -x^5 - 5x^4 - 8x^2 + x - 3$ |
| 3648.a.98496.1 |
3648.a |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{6} \cdot 3^{4} \cdot 19 \) |
$0$ |
$1$ |
$\Z/4\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(1.000000\) |
\(4.223929\) |
\(1.055982\) |
$[320,6637,526090,-12312]$ |
$[320,-158,1520,115359,-98496]$ |
$[-52428800000/1539,80896000/1539,-128000/81]$ |
$y^2 + (x + 1)y = -x^6 - 2x^5 - x^4 + 2x^3 + 2x^2 - 1$ |
| 3680.b.942080.1 |
3680.b |
\( 2^{5} \cdot 5 \cdot 23 \) |
\( - 2^{13} \cdot 5 \cdot 23 \) |
$0$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(0.822668\) |
\(0.822668\) |
$[3496,1312012,1008959548,-3680]$ |
$[6992,-1461696,411689216,185493950464,-942080]$ |
$[-88692994593152/5,2651816922528/5,-106820486264/5]$ |
$y^2 = x^5 - 56x^3 - 245x^2 - 383x - 217$ |
| 3712.d.950272.1 |
3712.d |
\( 2^{7} \cdot 29 \) |
\( 2^{15} \cdot 29 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.509563\) |
\(0.509563\) |
$[3116,562225,442794171,3712]$ |
$[6232,118976,6910208,7227281920,950272]$ |
$[286871423439899/29,878803469401/29,16380459113/58]$ |
$y^2 + x^2y = x^5 - x^4 - 32x^3 - 79x^2 - 52x - 11$ |
| 3779.a.3779.1 |
3779.a |
\( 3779 \) |
\( 3779 \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.242526\) |
\(2.230486\) |
\(0.540950\) |
$[27756,75556785,480129227559,-483712]$ |
$[6939,-1141961,173097695,-25737504979,-3779]$ |
$[-16087347293069838699/3779,381541633484051259/3779,-8334605719993095/3779]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 7x^4 + 7x^3 - 41x^2 + 13x - 60$ |
| 3792.a.60672.1 |
3792.a |
\( 2^{4} \cdot 3 \cdot 79 \) |
\( 2^{8} \cdot 3 \cdot 79 \) |
$0$ |
$1$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(2.495595\) |
\(0.623899\) |
$[37072,4008856,46865415820,242688]$ |
$[18536,13647828,12975192388,13561239246596,60672]$ |
$[8547520254670253696/237,113174968651809176/79,17414294401965433/237]$ |
$y^2 + x^2y = 4x^5 + 17x^4 + 6x^3 - 27x^2 + 10x - 1$ |
| 3888.a.248832.1 |
3888.a |
\( 2^{4} \cdot 3^{5} \) |
\( 2^{10} \cdot 3^{5} \) |
$0$ |
$1$ |
$\Z/6\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.60.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(1.000000\) |
\(12.263218\) |
\(1.021935\) |
$[4012,3321,4466715,128]$ |
$[12036,6016128,3995526208,2974089331776,248832]$ |
$[1015090270405243,126467411456072/3,62805239452873/27]$ |
$y^2 + x^2y = x^5 - 8x^4 + 5x^3 + 37x^2 + 32x + 8$ |
| 3973.a.3973.1 |
3973.a |
\( 29 \cdot 137 \) |
\( 29 \cdot 137 \) |
$0$ |
$0$ |
$\Z/3\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(10.987002\) |
\(1.220778\) |
$[352,3136,404320,15892]$ |
$[176,768,-6752,-444544,3973]$ |
$[168874213376/3973,4186963968/3973,-209149952/3973]$ |
$y^2 + y = x^5 + 2x^4 + 4x^3 + 4x^2 + 3x + 1$ |
| 4051.a.4051.1 |
4051.a |
\( 4051 \) |
\( -4051 \) |
$0$ |
$0$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$1$ |
$1$ |
2.6.1, 3.80.2 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(1.000000\) |
\(0.839142\) |
\(0.839142\) |
$[42228,78382257,871992261369,-518528]$ |
$[10557,1377833,189893857,26571418115,-4051]$ |
$[-131130165028824244557/4051,-1621131135132412269/4051,-21163717646220393/4051]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 7x^4 - 8x^3 + 40x^2 + 13x - 62$ |
