| 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 |
| 6982.a.13964.1 |
6982.a |
\( 2 \cdot 3491 \) |
\( - 2^{2} \cdot 3491 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.007467\) |
\(23.525330\) |
\(0.351346\) |
$[820,12505,2944285,-1787392]$ |
$[205,1230,8720,68675,-13964]$ |
$[-362050628125/13964,-5298301875/6982,-91614500/3491]$ |
$y^2 + (x^3 + 1)y = x^5 - 3x^3 + 2x$ |
| 9055.a.45275.1 |
9055.a |
\( 5 \cdot 1811 \) |
\( - 5^{2} \cdot 1811 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.009017\) |
\(21.860502\) |
\(0.394218\) |
$[416,6064,708848,-181100]$ |
$[208,792,464,-132688,-45275]$ |
$[-389328928768/45275,-7127138304/45275,-20074496/45275]$ |
$y^2 + y = x^5 + 3x^4 - 3x^2 - x$ |
| 9278.a.18556.1 |
9278.a |
\( 2 \cdot 4639 \) |
\( 2^{2} \cdot 4639 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.009443\) |
\(21.394939\) |
\(0.404079\) |
$[436,5545,476149,2375168]$ |
$[109,264,3380,74681,18556]$ |
$[15386239549/18556,85471914/4639,10039445/4639]$ |
$y^2 + (x^2 + x + 1)y = 2x^5 + 3x^4 - x^2$ |
| 9633.a.28899.1 |
9633.a |
\( 3 \cdot 13^{2} \cdot 19 \) |
\( - 3^{2} \cdot 13^{2} \cdot 19 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1, 3.40.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.009667\) |
\(20.940322\) |
\(0.404874\) |
$[1120,6448,2186288,-115596]$ |
$[560,11992,330768,10355504,-28899]$ |
$[-55073177600000/28899,-2105987072000/28899,-11525427200/3211]$ |
$y^2 + x^3y = -2x^4 + 5x^2 - x - 2$ |
| 9783.a.29349.1 |
9783.a |
\( 3^{2} \cdot 1087 \) |
\( 3^{3} \cdot 1087 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.010664\) |
\(20.294963\) |
\(0.432834\) |
$[96,1584,13104,117396]$ |
$[48,-168,2320,20784,29349]$ |
$[9437184/1087,-688128/1087,593920/3261]$ |
$y^2 + y = x^5 - 2x^3 + x^2$ |
| 10762.a.21524.1 |
10762.a |
\( 2 \cdot 5381 \) |
\( - 2^{2} \cdot 5381 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.009004\) |
\(24.120715\) |
\(0.434377\) |
$[628,21481,3246613,-2755072]$ |
$[157,132,2900,109469,-21524]$ |
$[-95388992557/21524,-127706469/5381,-17870525/5381]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 - 3x^3 + x^2 + x$ |
| 11944.c.382208.1 |
11944.c |
\( 2^{3} \cdot 1493 \) |
\( 2^{8} \cdot 1493 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.008186\) |
\(14.220722\) |
\(0.465631\) |
$[6,216,-819,1493]$ |
$[12,-570,7748,-57981,382208]$ |
$[972/1493,-7695/2986,17433/5972]$ |
$y^2 + y = 4x^5 - 7x^4 + 3x^3 + x^2 - x$ |
| 12010.a.24020.1 |
12010.a |
\( 2 \cdot 5 \cdot 1201 \) |
\( - 2^{2} \cdot 5 \cdot 1201 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011423\) |
\(24.286506\) |
\(0.554830\) |
$[608,11512,1944839,-96080]$ |
$[304,1932,10961,-100120,-24020]$ |
$[-649094496256/6005,-13569626112/6005,-253242944/6005]$ |
$y^2 + (x + 1)y = x^5 - 3x^4 + 5x^2 - 3x$ |
| 12050.a.24100.1 |
12050.a |
\( 2 \cdot 5^{2} \cdot 241 \) |
\( 2^{2} \cdot 5^{2} \cdot 241 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,3$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1, 3.40.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.015732\) |
\(17.632829\) |
\(0.554785\) |
$[256,-2360,-325545,96400]$ |
$[128,1076,27041,575868,24100]$ |
$[8589934592/6025,564133888/6025,110759936/6025]$ |
$y^2 + xy = x^5 - 2x^3 - x^2 + x + 1$ |
| 12076.a.48304.1 |
12076.a |
\( 2^{2} \cdot 3019 \) |
\( - 2^{4} \cdot 3019 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.008753\) |
\(21.027207\) |
\(0.552167\) |
$[456,5472,627804,-193216]$ |
$[228,1254,15440,486951,-48304]$ |
$[-38508291648/3019,-928928088/3019,-50164560/3019]$ |
$y^2 + xy = x^6 - 3x^4 - x^3 + 2x^2 + x$ |
| 12153.a.36459.1 |
12153.a |
\( 3 \cdot 4051 \) |
\( - 3^{2} \cdot 4051 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011926\) |
\(20.236765\) |
\(0.482687\) |
$[532,8233,1254197,-4666752]$ |
$[133,394,700,-15534,-36459]$ |
$[-41615795893/36459,-926938978/36459,-12382300/36459]$ |
$y^2 + (x^3 + 1)y = x^5 - 5x^4 + 4x^3 - x$ |
| 12275.a.61375.1 |
12275.a |
\( 5^{2} \cdot 491 \) |
\( - 5^{3} \cdot 491 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.049075\) |
\(18.849285\) |
\(0.462510\) |
$[372,6345,457605,-7856000]$ |
$[93,96,2336,52008,-61375]$ |
$[-6956883693/61375,-77218272/61375,-20204064/61375]$ |
$y^2 + (x^2 + x + 1)y = x^5 + 3x^4 + x^3 - x^2$ |
| 12657.b.341739.1 |
12657.b |
\( 3 \cdot 4219 \) |
\( - 3^{4} \cdot 4219 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.010012\) |
\(12.120663\) |
\(0.485403\) |
$[192,-2400,-32496,1366956]$ |
$[96,784,-5008,-273856,341739]$ |
$[100663296/4219,25690112/12657,-5128192/37971]$ |
$y^2 + y = x^5 - x^4 + 2x^2 - 2x$ |
| 12691.a.88837.1 |
12691.a |
\( 7^{3} \cdot 37 \) |
\( 7^{4} \cdot 37 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,13$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.011290\) |
\(20.991272\) |
\(0.474000\) |
$[280,7840,495096,355348]$ |
$[140,-490,2156,15435,88837]$ |
$[22400000/37,-560000/37,17600/37]$ |
$y^2 + y = x^5 + 5x^4 + 5x^3 + x^2$ |
| 13100.a.52400.1 |
13100.a |
\( 2^{2} \cdot 5^{2} \cdot 131 \) |
\( - 2^{4} \cdot 5^{2} \cdot 131 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.009363\) |
\(20.548838\) |
\(0.577227\) |
$[296,3280,255260,-209600]$ |
$[148,366,1616,26303,-52400]$ |
$[-4438013248/3275,-74155992/3275,-2212304/3275]$ |
$y^2 + (x^2 + 1)y = x^5 + x^4 - 2x^3 - x^2 + x$ |
| 13648.c.873472.1 |
13648.c |
\( 2^{4} \cdot 853 \) |
\( 2^{10} \cdot 853 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.009148\) |
\(13.441482\) |
\(0.491859\) |
$[74,-68,11019,-3412]$ |
$[148,1094,-78308,-3196605,-873472]$ |
$[-69343957/853,-27707191/6824,26800913/13648]$ |
$y^2 + x^3y = -2x^4 - x^3 + 5x^2 + 8x + 4$ |
| 13736.a.439552.1 |
13736.a |
\( 2^{3} \cdot 17 \cdot 101 \) |
\( 2^{8} \cdot 17 \cdot 101 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.007575\) |
\(16.141614\) |
\(0.489093\) |
$[166,592,20253,1717]$ |
$[332,3014,86276,4889859,439552]$ |
$[15756162572/1717,861683009/3434,148588841/6868]$ |
$y^2 + y = 4x^5 + 5x^4 - x^3 - 2x^2$ |
| 13870.a.138700.1 |
13870.a |
\( 2 \cdot 5 \cdot 19 \cdot 73 \) |
\( 2^{2} \cdot 5^{2} \cdot 19 \cdot 73 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.008560\) |
\(14.130186\) |
\(0.483796\) |
$[236,19321,1116947,-17753600]$ |
$[59,-660,-1844,-136099,-138700]$ |
$[-714924299/138700,6777507/6935,1604741/34675]$ |
$y^2 + (x^3 + 1)y = x^5 + 2x^4 - 2x^2 - 2x$ |
| 14050.a.140500.1 |
14050.a |
\( 2 \cdot 5^{2} \cdot 281 \) |
\( 2^{2} \cdot 5^{3} \cdot 281 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.008416\) |
\(17.845269\) |
\(0.600765\) |
$[56,7720,-739285,562000]$ |
$[28,-1254,92201,252278,140500]$ |
$[4302592/35125,-6881952/35125,18071396/35125]$ |
$y^2 + (x + 1)y = x^6 - x^5 + 2x^4 + x^3 - 3x^2$ |
| 14601.a.131409.1 |
14601.a |
\( 3 \cdot 31 \cdot 157 \) |
\( - 3^{3} \cdot 31 \cdot 157 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.009950\) |
\(17.769036\) |
\(0.530419\) |
$[564,11145,1428261,-16820352]$ |
$[141,364,4840,137486,-131409]$ |
$[-2064105063/4867,-37791572/4867,-10691560/14601]$ |
$y^2 + (x^3 + x^2 + x)y = 2x^4 + x^3 - 2x^2 - x$ |
| 15380.a.307600.1 |
15380.a |
\( 2^{2} \cdot 5 \cdot 769 \) |
\( 2^{4} \cdot 5^{2} \cdot 769 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.006831\) |
\(15.232037\) |
\(0.624298\) |
$[256,2764,393028,-1230400]$ |
$[128,222,-22436,-730273,-307600]$ |
$[-2147483648/19225,-29097984/19225,22974464/19225]$ |
$y^2 + xy = x^6 - 2x^5 + 2x^4 - 2x^3 + x$ |
| 15681.a.47043.1 |
15681.a |
\( 3 \cdot 5227 \) |
\( - 3^{2} \cdot 5227 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.013859\) |
\(20.253731\) |
\(0.561391\) |
$[248,2416,142264,-188172]$ |
$[124,238,2476,62595,-47043]$ |
$[-29316250624/47043,-453776512/47043,-38070976/47043]$ |
$y^2 + y = x^5 - 2x^4 - x^3 + 3x^2 - x$ |
| 15957.c.143613.1 |
15957.c |
\( 3^{4} \cdot 197 \) |
\( - 3^{6} \cdot 197 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.009511\) |
\(19.280121\) |
\(0.550120\) |
$[412,4641,548591,-75648]$ |
$[309,2238,11956,-328560,-143613]$ |
$[-11592740743/591,-815174342/1773,-126841204/15957]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 9x^2 + 9x + 2$ |
| 16130.a.161300.1 |
16130.a |
\( 2 \cdot 5 \cdot 1613 \) |
\( 2^{2} \cdot 5^{2} \cdot 1613 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.007931\) |
\(20.303418\) |
\(0.644105\) |
$[528,16128,2087487,645200]$ |
$[264,216,7769,501090,161300]$ |
$[320597139456/40325,993586176/40325,135367056/40325]$ |
$y^2 + (x^3 + x)y = -2x^4 - x^3 + 5x^2 - 2x$ |
| 16737.a.351477.1 |
16737.a |
\( 3 \cdot 7 \cdot 797 \) |
\( 3^{2} \cdot 7^{2} \cdot 797 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.008182\) |
\(16.833710\) |
\(0.550955\) |
$[64,9088,636080,-1405908]$ |
$[32,-1472,-57136,-998784,-351477]$ |
$[-33554432/351477,48234496/351477,58507264/351477]$ |
$y^2 + y = x^5 + 4x^4 + 2x^3 - x$ |
| 16978.a.33956.1 |
16978.a |
\( 2 \cdot 13 \cdot 653 \) |
\( - 2^{2} \cdot 13 \cdot 653 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.012585\) |
\(20.774608\) |
\(0.522898\) |
$[404,7705,632157,-4346368]$ |
$[101,104,2612,63249,-33956]$ |
$[-10510100501/33956,-2060602/653,-10201/13]$ |
$y^2 + (x^3 + 1)y = -2x^4 + 2x^2 - x$ |
| 17031.a.51093.1 |
17031.a |
\( 3 \cdot 7 \cdot 811 \) |
\( - 3^{2} \cdot 7 \cdot 811 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \) |
\(0.017209\) |
\(16.438754\) |
\(0.565773\) |
$[564,1785,448557,-6539904]$ |
$[141,754,3172,-30316,-51093]$ |
$[-6192315189/5677,-234847626/5677,-7006948/5677]$ |
$y^2 + (x^2 + x + 1)y = x^5 - 2x^3 + x$ |
| 17194.a.550208.1 |
17194.a |
\( 2 \cdot 8597 \) |
\( - 2^{6} \cdot 8597 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.006839\) |
\(16.417462\) |
\(0.673684\) |
$[560,10276,1475903,-2200832]$ |
$[280,1554,20033,798581,-550208]$ |
$[-26891200000/8597,-533022000/8597,-24540425/8597]$ |
$y^2 + xy = x^5 + 3x^4 - 4x^2 - x + 1$ |
| 17768.a.568576.1 |
17768.a |
\( 2^{3} \cdot 2221 \) |
\( 2^{8} \cdot 2221 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.010668\) |
\(12.835767\) |
\(0.547730\) |
$[58,-80,1171,-2221]$ |
$[116,774,-11588,-485821,-568576]$ |
$[-82044596/2221,-9438543/4442,2436377/8884]$ |
$y^2 + x^3y = x^5 + x^4 - x^3 - x^2 + 4x + 4$ |
| 17984.b.143872.1 |
17984.b |
\( 2^{6} \cdot 281 \) |
\( - 2^{9} \cdot 281 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.009101\) |
\(19.009580\) |
\(0.692016\) |
$[348,3033,312921,-17984]$ |
$[348,3024,14864,-992976,-143872]$ |
$[-9968418414/281,-248914134/281,-7031601/562]$ |
$y^2 + xy = x^6 - 2x^5 - 2x^4 + 3x^3 + x^2 - x$ |
| 18344.b.587008.1 |
18344.b |
\( 2^{3} \cdot 2293 \) |
\( 2^{8} \cdot 2293 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.007806\) |
\(17.550974\) |
\(0.547980\) |
$[118,1288,33813,2293]$ |
$[236,-1114,15140,583011,587008]$ |
$[2859697196/2293,-114396103/4586,13175585/9172]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 - 5x^3 + x^2 + x$ |
| 19905.a.179145.1 |
19905.a |
\( 3 \cdot 5 \cdot 1327 \) |
\( 3^{3} \cdot 5 \cdot 1327 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.046622\) |
\(18.423597\) |
\(0.644204\) |
$[2356,135913,96151797,22930560]$ |
$[589,8792,64096,-9886680,179145]$ |
$[70888612161949/179145,1796526235448/179145,22236248416/179145]$ |
$y^2 + (x^2 + x + 1)y = x^5 - x^4 - 5x^3 + 2x^2 + 3x$ |
| 20072.b.642304.1 |
20072.b |
\( 2^{3} \cdot 13 \cdot 193 \) |
\( 2^{8} \cdot 13 \cdot 193 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.012445\) |
\(14.016776\) |
\(0.697755\) |
$[40,2437,25101,-80288]$ |
$[40,-1558,-4112,-647961,-642304]$ |
$[-400000/2509,389500/2509,25700/2509]$ |
$y^2 + (x^3 + x)y = x^3 + 3x^2 - x$ |
| 20331.b.182979.1 |
20331.b |
\( 3^{4} \cdot 251 \) |
\( - 3^{6} \cdot 251 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.013012\) |
\(16.160324\) |
\(0.630822\) |
$[104,240,7336,-3012]$ |
$[156,654,2380,-14109,-182979]$ |
$[-380204032/753,-30652544/2259,-6435520/20331]$ |
$y^2 + y = x^5 + 2x^4 - x^3 - x^2 + x$ |
| 21058.a.673856.1 |
21058.a |
\( 2 \cdot 10529 \) |
\( 2^{6} \cdot 10529 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.007973\) |
\(15.396633\) |
\(0.736539\) |
$[216,7452,306999,2695424]$ |
$[108,-756,6065,20871,673856]$ |
$[229582512/10529,-14880348/10529,4421385/42116]$ |
$y^2 + (x + 1)y = x^5 + x^4 - 3x^3 + x^2$ |
| 21303.b.575181.1 |
21303.b |
\( 3^{4} \cdot 263 \) |
\( 3^{7} \cdot 263 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.006756\) |
\(15.688285\) |
\(0.635926\) |
$[864,14400,5052384,-2300724]$ |
$[432,5376,-86752,-16594560,-575181]$ |
$[-6879707136/263,-198180864/263,22208512/789]$ |
$y^2 + (x^3 + x^2 + x + 1)y = -x^4 - 5x + 2$ |
| 21784.a.174272.1 |
21784.a |
\( 2^{3} \cdot 7 \cdot 389 \) |
\( - 2^{6} \cdot 7 \cdot 389 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2 \cdot 3 \) |
\(0.007540\) |
\(16.718996\) |
\(0.756347\) |
$[136,1792,-113172,-697088]$ |
$[68,-106,18944,319239,-174272]$ |
$[-22717712/2723,520778/2723,-1368704/2723]$ |
$y^2 + (x^3 + x)y = -x^4 - 2x^3 + x^2 + 2x$ |
| 22602.a.135612.1 |
22602.a |
\( 2 \cdot 3 \cdot 3767 \) |
\( 2^{2} \cdot 3^{2} \cdot 3767 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.009526\) |
\(18.035540\) |
\(0.687224\) |
$[780,53961,15102363,-17358336]$ |
$[195,-664,-70804,-3561919,-135612]$ |
$[-31327846875/15068,136763250/3767,74786725/3767]$ |
$y^2 + (x^3 + 1)y = x^5 + x^4 - 3x^3 - 5x^2 + x + 4$ |
| 22630.a.226300.1 |
22630.a |
\( 2 \cdot 5 \cdot 31 \cdot 73 \) |
\( 2^{2} \cdot 5^{2} \cdot 31 \cdot 73 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.008877\) |
\(16.673921\) |
\(0.592077\) |
$[596,65785,-10780563,28966400]$ |
$[149,-1816,270836,9264177,226300]$ |
$[73439775749/226300,-1501808846/56575,1503207509/56575]$ |
$y^2 + (x^3 + 1)y = x^4 + 3x^3 - x^2 - 4x$ |
| 23186.a.370976.1 |
23186.a |
\( 2 \cdot 11593 \) |
\( - 2^{5} \cdot 11593 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 5 \) |
\(0.011561\) |
\(13.244053\) |
\(0.765569\) |
$[296,-1340,28041,1483904]$ |
$[148,1136,-4793,-499965,370976]$ |
$[2219006624/11593,115083616/11593,-6561617/23186]$ |
$y^2 + (x + 1)y = -x^5 + x^4 + x^3 + x^2 + x$ |
| 23289.a.489069.1 |
23289.a |
\( 3 \cdot 7 \cdot 1109 \) |
\( 3^{2} \cdot 7^{2} \cdot 1109 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.012241\) |
\(11.703052\) |
\(0.573029\) |
$[32,1984,59968,-1956276]$ |
$[16,-320,-5184,-46336,-489069]$ |
$[-1048576/489069,1310720/489069,147456/54341]$ |
$y^2 + y = 3x^5 - 7x^4 + 6x^3 - 2x^2$ |
| 23631.b.638037.1 |
23631.b |
\( 3 \cdot 7877 \) |
\( 3^{4} \cdot 7877 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.010210\) |
\(17.677869\) |
\(0.721961\) |
$[920,34144,8577464,2552148]$ |
$[460,3126,-596,-2511509,638037]$ |
$[20596297600000/638037,101424112000/212679,-126113600/638037]$ |
$y^2 + x^3y = x^5 - x^4 - 5x^3 + 5x + 2$ |
| 23695.a.829325.1 |
23695.a |
\( 5 \cdot 7 \cdot 677 \) |
\( 5^{2} \cdot 7^{2} \cdot 677 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.013528\) |
\(12.244778\) |
\(0.662587\) |
$[392,2992,393976,-3317300]$ |
$[196,1102,804,-264205,-829325]$ |
$[-5903156224/16925,-169337728/16925,-630336/16925]$ |
$y^2 + y = x^5 + 3x^4 + 3x^3 + 4x^2 + x$ |
| 24064.b.96256.1 |
24064.b |
\( 2^{9} \cdot 47 \) |
\( 2^{11} \cdot 47 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.010808\) |
\(18.354527\) |
\(0.793475\) |
$[28,2026,19728,-12032]$ |
$[28,-1318,-6980,-483141,-96256]$ |
$[-16807/94,226037/752,85505/1504]$ |
$y^2 + (x + 1)y = x^6 - 2x^4 - x^3 + x^2$ |
| 24296.a.777472.1 |
24296.a |
\( 2^{3} \cdot 3037 \) |
\( 2^{8} \cdot 3037 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.015259\) |
\(12.464016\) |
\(0.760745\) |
$[88,1525,42405,-97184]$ |
$[88,-694,-11264,-368217,-777472]$ |
$[-20614528/3037,1847428/3037,340736/3037]$ |
$y^2 + (x^3 + x)y = 2x^4 - x^3 + x^2 + x$ |
| 24320.b.243200.1 |
24320.b |
\( 2^{8} \cdot 5 \cdot 19 \) |
\( 2^{9} \cdot 5^{2} \cdot 19 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.047868\) |
\(12.980014\) |
\(0.621329\) |
$[6,54,-792,950]$ |
$[12,-138,6116,13587,243200]$ |
$[486/475,-1863/1900,13761/3800]$ |
$y^2 + y = 2x^5 + 3x^4 + x^3$ |
| 24340.a.97360.1 |
24340.a |
\( 2^{2} \cdot 5 \cdot 1217 \) |
\( 2^{4} \cdot 5 \cdot 1217 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 3 \) |
\(0.013730\) |
\(18.115694\) |
\(0.746177\) |
$[328,2752,196284,389440]$ |
$[164,662,9296,271575,97360]$ |
$[7414796864/6085,182502808/6085,15626576/6085]$ |
$y^2 + xy = x^6 + x^4 - 5x^3 + 4x^2 - x$ |
| 25280.a.505600.1 |
25280.a |
\( 2^{6} \cdot 5 \cdot 79 \) |
\( - 2^{8} \cdot 5^{2} \cdot 79 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.031417\) |
\(13.034584\) |
\(0.819020\) |
$[144,-909,-5796,63200]$ |
$[144,1470,-12176,-978561,505600]$ |
$[241864704/1975,3429216/395,-986256/1975]$ |
$y^2 + (x^3 + x)y = -2x^4 - x^3 - x^2 - x + 1$ |
| 25570.b.255700.1 |
25570.b |
\( 2 \cdot 5 \cdot 2557 \) |
\( 2^{2} \cdot 5^{2} \cdot 2557 \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.6.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.015541\) |
\(15.873219\) |
\(0.986763\) |
$[4084,60001,62743873,32729600]$ |
$[1021,40935,2301329,168495671,255700]$ |
$[1109503586489101/255700,8713688220807/51140,2398999704089/255700]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 - 5x^3 + 4x^2 + 4x - 3$ |
| 26145.a.392175.1 |
26145.a |
\( 3^{2} \cdot 5 \cdot 7 \cdot 83 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7 \cdot 83 \) |
$2$ |
$3$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$13$ |
$1$ |
2.60.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.039648\) |
\(15.721415\) |
\(0.623325\) |
$[1044,18585,3807549,-50198400]$ |
$[261,2064,44416,1833120,-392175]$ |
$[-44857882863/14525,-1359150192/14525,-112061568/14525]$ |
$y^2 + (x^3 + 1)y = x^5 - x^4 + 4x^2 + 2x$ |
