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 |
1170.a.10530.1 |
1170.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2 \cdot 3^{4} \cdot 5 \cdot 13 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/6\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.720.4 |
✓ |
✓ |
$4$ |
\( 3 \) |
\(1.000000\) |
\(5.542030\) |
\(0.461836\) |
$[507196,192673,32552199279,1347840]$ |
$[126799,669908072,4718980180980,37396285759331459,10530]$ |
$[32777750301275239538233999/10530,682861614668954802420364/5265,7205289570406928666]$ |
$y^2 + (x^2 + x)y = 15x^6 + 28x^5 + 62x^4 + 59x^3 + 62x^2 + 28x + 15$ |
1950.a.105300.1 |
1950.a |
\( 2 \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{2} \cdot 3^{4} \cdot 5^{2} \cdot 13 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$2$ |
2.180.3, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(2.191543\) |
\(0.547886\) |
$[5075172,26967201,45574441613937,13478400]$ |
$[1268793,67075362902,4727883958948800,374900440872881734199,105300]$ |
$[40594654631047811822360650953/1300,845707804348247976930324147/650,72280306487349203974704]$ |
$y^2 + (x^2 + x)y = x^5 + 36x^4 + 330x^3 + 36x^2 + x$ |
2610.a.2610.1 |
2610.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 29 \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 29 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(6.376791\) |
\(0.398549\) |
$[127180,225577,9528751755,334080]$ |
$[31795,42112352,74354061060,147659295107699,2610]$ |
$[6498664883066809874375/522,135358641081021227600/261,28799294242815650]$ |
$y^2 + (x^3 + 1)y = 8x^6 + 19x^5 + 39x^4 + 41x^3 + 39x^2 + 19x + 8$ |
2730.b.38220.1 |
2730.b |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{2} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$2$ |
2.180.3, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(2.823466\) |
\(0.705866\) |
$[1847076,9790593,6017800236609,4892160]$ |
$[461769,8884200782,227893017162720,6576226776830660039,38220]$ |
$[142825757240820183004850067/260,2975399985891326799051477/130,1271422473017363079336]$ |
$y^2 + (x^2 + x)y = x^5 + 28x^4 + 201x^3 + 28x^2 + x$ |
2880.c.368640.1 |
2880.c |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( - 2^{13} \cdot 3^{2} \cdot 5 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(5.369336\) |
\(0.671167\) |
$[8840,2488,7315860,1440]$ |
$[17680,13017632,12773283840,14093228850944,368640]$ |
$[42174637208080000/9,1756381379464400/9,10830902014400]$ |
$y^2 = 6x^6 - 13x^5 + 27x^4 - 28x^3 + 27x^2 - 13x + 6$ |
3570.a.3570.1 |
3570.a |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
\( - 2 \cdot 3 \cdot 5 \cdot 7 \cdot 17 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$2$ |
\( 1 \) |
\(0.532647\) |
\(5.545665\) |
\(0.369235\) |
$[173580,307977,17764634235,456960]$ |
$[43395,78450752,189070577220,512549302274099,3570]$ |
$[10259051370111445708125/238,213695282234728087200/119,99732135721219650]$ |
$y^2 + (x^3 + 1)y = -10x^6 + 23x^5 - 47x^4 + 50x^3 - 47x^2 + 23x - 10$ |
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 |
|
|
$8$ |
\( 3 \) |
\(1.000000\) |
\(1.221349\) |
\(0.814233\) |
$[260796,1850978385,134364376171431,2128896]$ |
$[65199,99997134,172172445984,306511124374215,16632]$ |
$[43635595725427687775037/616,513235392243926913579/308,44004900412520412]$ |
$y^2 + (x^2 + x)y = -15x^6 + 32x^5 - 53x^4 + 64x^3 - 53x^2 + 32x - 15$ |
5077.a.5077.1 |
5077.a |
\( 5077 \) |
\( 5077 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(4.595841\) |
\(1.148960\) |
$[8752,350164,953680159,20308]$ |
$[4376,739530,158952257,37167613933,5077]$ |
$[1604673078804709376/5077,61970890433633280/5077,3043836535341632/5077]$ |
$y^2 + xy = x^5 + 7x^4 + 8x^3 - 16x^2 + x$ |
5280.d.84480.1 |
5280.d |
\( 2^{5} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{9} \cdot 3 \cdot 5 \cdot 11 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(4.119112\) |
\(1.029778\) |
$[1014360,22497,7606321185,10560]$ |
$[1014360,42871910402,2415973367470080,153166510877458636799,84480]$ |
$[139829677203278295877320000/11,5826234511928725040734650/11,29425406243910243321600]$ |
$y^2 + xy = 24x^6 + 95x^4 + 125x^2 + 55$ |
6400.f.64000.1 |
6400.f |
\( 2^{8} \cdot 5^{2} \) |
\( - 2^{9} \cdot 5^{3} \) |
$2$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathrm{M}_2(\Q)\) |
\(\mathsf{CM}\) |
✓ |
$E_4$ |
|
✓ |
|
$C_4$ |
$D_4$ |
$16$ |
$0$ |
2.90.6, 3.540.6 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.067032\) |
\(19.455210\) |
\(0.326031\) |
$[154,310,19480,250]$ |
$[308,3126,-164,-2455597,64000]$ |
$[5413568314/125,713561079/500,-243089/1000]$ |
$y^2 + x^3y = -2x^4 - 3x^3 + x^2 + 6x + 4$ |
6570.a.479610.1 |
6570.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 73 \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 73^{2} \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.90.6 |
|
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(3.054424\) |
\(1.527212\) |
$[500,-918455,-667199387,-61390080]$ |
$[125,38920,7942396,-130491725,-479610]$ |
$[-6103515625/95922,-7601562500/47961,-12409993750/47961]$ |
$y^2 + (x^3 + 1)y = x^6 + x^5 - 5x^4 + 2x^3 - x^2 - 3x - 1$ |
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 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(0.565877\) |
\(1.131754\) |
$[40716,-1225313367,-3692075477589,1827840]$ |
$[10179,55371892,-90637046256,-997160229374872,14280]$ |
$[36425398951350015633/4760,4866575441726570949/1190,-391295389699815354/595]$ |
$y^2 + (x^2 + x + 1)y = 7x^6 + 39x^5 + 2x^4 + 28x^3 - 14x^2 - 8x - 1$ |
7920.a.7920.1 |
7920.a |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \) |
\( - 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(5.191945\) |
\(0.324497\) |
$[191512,128152,8166160092,31680]$ |
$[95756,382029122,2032084422720,12159506481471359,7920]$ |
$[503164505938566164716736/495,20964015681236020493272/495,2352602516531581376]$ |
$y^2 + (x^2 + 1)y = 15x^6 + 37x^4 + 30x^2 + 8$ |
8190.a.982800.1 |
8190.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 7 \cdot 13 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$6$ |
$4$ |
2.360.2 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.499493\) |
\(14.095125\) |
\(0.880053\) |
$[17892,1459521,8200886049,125798400]$ |
$[4473,772842,168822784,39464888967,982800]$ |
$[9473984867119437/5200,182976624000513/2600,85921868928/25]$ |
$y^2 + (x^2 + x)y = x^5 - 7x^4 + 6x^3 + 17x^2 + 3x$ |
8400.a.8400.1 |
8400.a |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(5.918880\) |
\(1.479720\) |
$[202296,30264,2039611884,33600]$ |
$[101148,426283202,2395370846400,15142400516073599,8400]$ |
$[220569400121012592964416/175,9190282927599614879208/175,2917481247518261184]$ |
$y^2 + (x^3 + x)y = x^6 + 16x^4 + 72x^2 + 105$ |
8730.a.235710.1 |
8730.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 97 \) |
\( 2 \cdot 3^{5} \cdot 5 \cdot 97 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$2$ |
2.180.3, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(1.791692\) |
\(0.895846\) |
$[11345156,60357313,228098207751489,30170880]$ |
$[2836289,335186455592,52815079449354060,9362217216000297353219,235710]$ |
$[183549160792698512511614747280449/235710,3823912159216742443644714395924/117855,1802523314898876752014106]$ |
$y^2 + (x^2 + x)y = x^5 + 44x^4 + 491x^3 + 44x^2 + x$ |
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 |
|
|
$8$ |
\( 1 \) |
\(1.000000\) |
\(3.515644\) |
\(0.781254\) |
$[29416,401950,3856349254,1120]$ |
$[29416,35786244,57682311680,104031905187836,8960]$ |
$[86035585584425236096/35,3558172542444145704/35,5570598795672448]$ |
$y^2 + xy = -5x^6 - 19x^4 - 21x^2 - 7$ |
8960.c.17920.1 |
8960.c |
\( 2^{8} \cdot 5 \cdot 7 \) |
\( 2^{9} \cdot 5 \cdot 7 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2,5$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.90.6 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(2.341167\) |
\(1.170584\) |
$[2278,323422,184275032,70]$ |
$[4556,2422,36,-1425517,17920]$ |
$[3833969168099398/35,255633211087/20,11675889/280]$ |
$y^2 + y = -4x^6 - 10x^5 + 3x^4 + 15x^3 - x^2 - 4x - 1$ |
10075.c.654875.1 |
10075.c |
\( 5^{2} \cdot 13 \cdot 31 \) |
\( - 5^{3} \cdot 13^{2} \cdot 31 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(1.535742\) |
\(1.535742\) |
$[144016,182644,6685568599,-2619500]$ |
$[72008,216017562,864154072025,3890604831488089,-654875]$ |
$[-1935992825145263554592768/654875,-80655002008707170079744/654875,-179230810806977336384/26195]$ |
$y^2 + xy = 5x^5 + 41x^4 + 88x^3 + 16x^2 + x$ |
10080.a.60480.1 |
10080.a |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{3} \cdot 5 \cdot 7 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.180.7, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \cdot 3 \) |
\(1.000000\) |
\(0.556034\) |
\(0.834051\) |
$[161296,406586887,19127473723714,7560]$ |
$[161296,812958726,4856153621760,30594066098964471,60480]$ |
$[1705838896690345318825984/945,17767980154611986862208/315,6266846885932235776/3]$ |
$y^2 + xy = -15x^6 + 58x^4 - 60x^2 + 7$ |
10080.c.141120.1 |
10080.c |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$2$ |
$2$ |
2.180.3, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(5.655296\) |
\(1.413824\) |
$[3388552,174712,197326050612,564480]$ |
$[1694276,119607102722,11258185829425920,1192153758196342556159,141120]$ |
$[218142768611210403574323981584/2205,9089279812657801356650662498/2205,229006686528379459553216]$ |
$y^2 + (x^3 + x)y = -x^6 + 35x^4 - 560x^2 + 2940$ |
10710.a.32130.1 |
10710.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 17 \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 7 \cdot 17 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(9.332111\) |
\(1.166514\) |
$[1543780,148177,76250390265,4112640]$ |
$[385945,6206391452,133073387965980,3209928465767870699,32130]$ |
$[244657791042157701862941875/918,5097032242913477124651050/459,616923517580862719150]$ |
$y^2 + (x^2 + x)y = -x^6 + 24x^4 + x^3 - 192x^2 - 12x + 494$ |
11088.c.99792.1 |
11088.c |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11 \) |
\( - 2^{4} \cdot 3^{4} \cdot 7 \cdot 11 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(4.062724\) |
\(1.015681\) |
$[2396152,81784,65321687244,399168]$ |
$[1198076,59807740610,3980788109952192,298080214686509802623,99792]$ |
$[14025203592111064561778464576/567,584383349818946945594192360/567,57258777528664900438976]$ |
$y^2 + (x^3 + x)y = 5x^6 + 60x^4 + 232x^2 + 297$ |
11520.d.368640.1 |
11520.d |
\( 2^{8} \cdot 3^{2} \cdot 5 \) |
\( - 2^{13} \cdot 3^{2} \cdot 5 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$2$ |
\( 2 \) |
\(0.891621\) |
\(4.714466\) |
\(1.050879\) |
$[8840,2488,7315860,1440]$ |
$[17680,13017632,12773283840,14093228850944,368640]$ |
$[42174637208080000/9,1756381379464400/9,10830902014400]$ |
$y^2 = -6x^6 - 13x^5 - 27x^4 - 28x^3 - 27x^2 - 13x - 6$ |
11970.b.215460.1 |
11970.b |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 19 \) |
\( - 2^{2} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 19 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(4.528456\) |
\(1.132114\) |
$[131452,888817,38680063287,27578880]$ |
$[32863,44961998,81956579040,167939448209879,215460]$ |
$[38329754186573002840543/215460,797879352846147647353/107730,3697209750622904/9]$ |
$y^2 + (x^2 + x)y = 5x^6 + 15x^5 + 37x^4 + 49x^3 + 54x^2 + 32x + 15$ |
12096.c.979776.2 |
12096.c |
\( 2^{6} \cdot 3^{3} \cdot 7 \) |
\( - 2^{6} \cdot 3^{7} \cdot 7 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
|
|
$2$ |
\( 2^{2} \) |
\(1.777252\) |
\(3.863174\) |
\(0.858229\) |
$[48576,2301,37257288,504]$ |
$[145728,884846610,7163494619904,65242055185219503,979776]$ |
$[469554780013829554176/7,19564477241823191040/7,155268783788507136]$ |
$y^2 + xy = -9x^6 - 36x^4 - 48x^2 - 21$ |
14400.b.360000.1 |
14400.b |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{2} \cdot 5^{4} \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.3 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(5.315010\) |
\(0.664376\) |
$[7600,29509,73196034,45000]$ |
$[7600,2386994,992616192,461535675791,360000]$ |
$[633881344000000/9,26195826953600/9,159259753472]$ |
$y^2 + xy = 3x^6 + 10x^4 + 10x^2 + 3$ |
14400.d.388800.1 |
14400.d |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{2} \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(4.039931\) |
\(0.504991\) |
$[58784,87589,1708025276,48600]$ |
$[58784,143923218,469647187200,1723461893222319,388800]$ |
$[10967703446614419439616/6075,152267436445298031616/2025,112700930763542528/27]$ |
$y^2 + xy = 15x^6 + 32x^4 + 22x^2 + 5$ |
14955.a.224325.1 |
14955.a |
\( 3 \cdot 5 \cdot 997 \) |
\( 3^{2} \cdot 5^{2} \cdot 997 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(1.806719\) |
\(1.806719\) |
$[19704,14593692,77284606287,897300]$ |
$[9852,1611964,282717241,46725580259,224325]$ |
$[10312869125139176448/24925,171271869614631168/24925,3049008189454096/24925]$ |
$y^2 + xy = 15x^5 - 124x^4 + 77x^3 - 16x^2 + x$ |
15360.d.983040.1 |
15360.d |
\( 2^{10} \cdot 3 \cdot 5 \) |
\( - 2^{16} \cdot 3 \cdot 5 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(4.572203\) |
\(1.143051\) |
$[11640,897,3480045,120]$ |
$[46560,90316832,233570058240,679472942284544,983040]$ |
$[222583859461440000,9273345076342800,515076721401600]$ |
$y^2 = 2x^6 + 15x^4 + 37x^2 + 30$ |
15360.f.983040.2 |
15360.f |
\( 2^{10} \cdot 3 \cdot 5 \) |
\( - 2^{16} \cdot 3 \cdot 5 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
|
|
$2$ |
\( 1 \) |
\(2.071439\) |
\(4.168709\) |
\(1.079403\) |
$[11640,897,3480045,120]$ |
$[46560,90316832,233570058240,679472942284544,983040]$ |
$[222583859461440000,9273345076342800,515076721401600]$ |
$y^2 = -2x^6 - 15x^4 - 37x^2 - 30$ |
15360.f.983040.1 |
15360.f |
\( 2^{10} \cdot 3 \cdot 5 \) |
\( 2^{16} \cdot 3 \cdot 5 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
|
|
$2$ |
\( 2 \) |
\(0.517860\) |
\(8.337418\) |
\(1.079403\) |
$[11640,897,3480045,120]$ |
$[46560,90316832,233570058240,679472942284544,983040]$ |
$[222583859461440000,9273345076342800,515076721401600]$ |
$y^2 = 30x^6 - 37x^4 + 15x^2 - 2$ |
15360.h.184320.1 |
15360.h |
\( 2^{10} \cdot 3 \cdot 5 \) |
\( 2^{12} \cdot 3^{2} \cdot 5 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$6$ |
$4$ |
2.360.2, 3.270.2 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.516278\) |
\(17.101360\) |
\(1.103633\) |
$[390,852,105720,720]$ |
$[780,23078,838980,30452579,184320]$ |
$[6265569375/4,1901338725/32,177234525/64]$ |
$y^2 = 2x^5 - x^4 - 5x^3 + 3x + 1$ |
15680.c.250880.1 |
15680.c |
\( 2^{6} \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 5 \cdot 7^{2} \) |
$1$ |
$4$ |
$\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.720.5 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(5.366838\) |
\(0.626563\) |
\(0.840665\) |
$[465924,5137879035,920713062008316,31360]$ |
$[465924,5619962884,-140971599964160,-24316508639809720324,250880]$ |
$[21442501652207789032006401/245,2220438389769740808604161/980,-121982000461178368032]$ |
$y^2 + (x^2 + 1)y = 112x^6 + 93x^4 + x^2 - 9$ |
16146.a.16146.1 |
16146.a |
\( 2 \cdot 3^{3} \cdot 13 \cdot 23 \) |
\( - 2 \cdot 3^{3} \cdot 13 \cdot 23 \) |
$1$ |
$4$ |
$\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.45.1, 3.90.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(0.277160\) |
\(4.616490\) |
\(1.279505\) |
$[92124,2258865,68236671159,2066688]$ |
$[23031,22007004,27932784516,39752933782995,16146]$ |
$[239993905095208279413/598,4978580669663460966/299,917645361271506]$ |
$y^2 + (x^2 + x)y = 6x^6 + 7x^5 + 19x^4 + 13x^3 + 19x^2 + 7x + 6$ |
16438.a.32876.1 |
16438.a |
\( 2 \cdot 8219 \) |
\( - 2^{2} \cdot 8219 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(2.453425\) |
\(1.226712\) |
$[98368,-1577216,-51703233545,-131504]$ |
$[49184,101057280,277568551937,859839454367752,-32876]$ |
$[-71954711754216996601856/8219,-3005931994381056737280/8219,-167864151672539840768/8219]$ |
$y^2 + xy = x^5 + 16x^4 + 64x^3 + 2x$ |
17718.a.70872.1 |
17718.a |
\( 2 \cdot 3 \cdot 2953 \) |
\( - 2^{3} \cdot 3 \cdot 2953 \) |
$1$ |
$4$ |
$\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.15.1 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(6.607783\) |
\(0.204079\) |
\(1.348512\) |
$[600052,22403156401,3362773592860537,-9071616]$ |
$[150013,4197657,7082233345,261201686623459,-70872]$ |
$[-75970411954244346421121293/70872,-4723592046086179034143/23624,-159377872169442935305/70872]$ |
$y^2 + (x^3 + 1)y = -x^6 - 3x^5 + 23x^4 + 39x^3 - 220x^2 + 107x - 14$ |
17952.b.287232.2 |
17952.b |
\( 2^{5} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3 \cdot 11 \cdot 17 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\mathsf{CM} \times \Q\) |
\(\Q \times \Q\) |
✓ |
$N(\mathrm{U}(1)\times\mathrm{SU}(2))$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.270.2 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(3.408941\) |
\(0.852235\) |
$[3447576,39201,45049473513,35904]$ |
$[3447576,495240818690,94854454474340352,20438618060521740017663,287232]$ |
$[28826063758209578258615000256/17,1201085926543750369505982390/17,3925116992746654641927936]$ |
$y^2 + xy = 8x^6 + 99x^4 + 408x^2 + 561$ |
18315.a.604395.1 |
18315.a |
\( 3^{2} \cdot 5 \cdot 11 \cdot 37 \) |
\( 3^{3} \cdot 5 \cdot 11^{2} \cdot 37 \) |
$2$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$10$ |
$0$ |
2.90.6 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.186597\) |
\(12.782103\) |
\(0.596276\) |
$[24276,471753,3816183141,77362560]$ |
$[6069,1515042,497583964,181121203938,604395]$ |
$[304945285363617087/22385,12543314768824014/22385,2036376802604956/67155]$ |
$y^2 + (x^3 + 1)y = -11x^4 + 18x^2 + 12x + 2$ |
19680.b.59040.1 |
19680.b |
\( 2^{5} \cdot 3 \cdot 5 \cdot 41 \) |
\( - 2^{5} \cdot 3^{2} \cdot 5 \cdot 41 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(4.211394\) |
\(2.105697\) |
$[1418328,116952,55283017788,236160]$ |
$[709164,20954712962,825572246394240,36591530305528500479,59040]$ |
$[622788976792553922923262048/205,25949516561541076615400556/205,7032376237658156669376]$ |
$y^2 + (x^3 + x)y = x^6 + 31x^4 + 264x^2 + 738$ |
20160.a.181440.1 |
20160.a |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 7 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5 \cdot 7 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$2$ |
\( 2 \) |
\(1.351604\) |
\(4.856810\) |
\(1.641121\) |
$[27280,9973,90537270,22680]$ |
$[27280,31001618,46964655360,80023869900719,181440]$ |
$[47214114792458240000/567,1966832972234204800/567,192631290649600]$ |
$y^2 + xy = -x^6 - 10x^4 - 33x^2 - 35$ |
20832.a.187488.1 |
20832.a |
\( 2^{5} \cdot 3 \cdot 7 \cdot 31 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7 \cdot 31 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
✓ |
$4$ |
\( 3 \) |
\(1.000000\) |
\(2.657054\) |
\(1.992791\) |
$[4506648,3006744,4515054549276,749952]$ |
$[2253324,211560709250,26484031592742528,3729792576580482150143,187488]$ |
$[67236402653316392567461245216/217,2801510141282484875195210500/217,717229106418825429829056]$ |
$y^2 + (x^3 + x)y = 47x^6 + 155x^4 + 170x^2 + 62$ |
21090.a.21090.1 |
21090.a |
\( 2 \cdot 3 \cdot 5 \cdot 19 \cdot 37 \) |
\( - 2 \cdot 3 \cdot 5 \cdot 19 \cdot 37 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$2$ |
\( 1 \) |
\(2.419965\) |
\(4.648466\) |
\(1.406140\) |
$[1014780,378177,127856778495,2699520]$ |
$[253695,2681698952,37795868713140,599278411005538499,21090]$ |
$[70059701170399383462020625/1406,1459568531448735648653700/703,115343086294889206650]$ |
$y^2 + (x^2 + x)y = -21x^6 + 38x^5 - 86x^4 + 80x^3 - 86x^2 + 38x - 21$ |
21840.a.43680.1 |
21840.a |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{5} \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
✓ |
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(4.386040\) |
\(2.193020\) |
$[1049640,108888,38088901380,174720]$ |
$[524820,11476483202,334614937937280,10975736260613779199,43680]$ |
$[82948903061048552981340000/91,3456198828851740672970700/91,2110004828004044030400]$ |
$y^2 + (x^3 + x)y = x^6 + 28x^4 + 216x^2 + 546$ |
22800.c.22800.1 |
22800.c |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3 \cdot 5^{2} \cdot 19 \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/4\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
|
$2$ |
\( 1 \) |
\(8.014590\) |
\(3.986219\) |
\(0.998372\) |
$[549624,367224,67205838156,91200]$ |
$[274812,3146673602,48039453988800,825065918011612799,22800]$ |
$[32654063023160087767973184/475,1360559495897959521276072/475,159123602029255257024]$ |
$y^2 + (x^2 + 1)y = -15x^6 - 53x^4 - 62x^2 - 24$ |
23120.a.92480.1 |
23120.a |
\( 2^{4} \cdot 5 \cdot 17^{2} \) |
\( 2^{6} \cdot 5 \cdot 17^{2} \) |
$2$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$10$ |
$0$ |
2.180.7, 3.90.1 |
✓ |
✓ |
$1$ |
\( 2^{2} \) |
\(0.189961\) |
\(15.707518\) |
\(0.745955\) |
$[8216,17752,48220124,369920]$ |
$[4108,700194,158493440,40204853471,92480]$ |
$[18279832024862512/1445,758454820196502/1445,8358381373888/289]$ |
$y^2 + (x^3 + x)y = -4x^4 + 15x^2 - 20$ |
24576.a.294912.1 |
24576.a |
\( 2^{13} \cdot 3 \) |
\( 2^{15} \cdot 3^{2} \) |
$1$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$6$ |
$4$ |
2.360.2 |
✓ |
✓ |
$1$ |
\( 2^{3} \) |
\(0.648107\) |
\(16.092064\) |
\(1.303672\) |
$[163,262,13830,36]$ |
$[652,14918,360964,3200451,294912]$ |
$[115063617043/288,32303041873/2304,2397613129/4608]$ |
$y^2 = x^5 - 3x^4 - x^3 + 5x^2 + 2x$ |
25830.a.77490.1 |
25830.a |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 41 \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 7 \cdot 41 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(6.115518\) |
\(3.057759\) |
$[3722356,502633,623585505429,9918720]$ |
$[930589,36083141012,1865474175056940,108499170450046588379,77490]$ |
$[697894174720663808207732811949/77490,14539453534492544050763123314/38745,20847760520798239398326]$ |
$y^2 + (x^3 + 1)y = x^6 - 30x^5 - 194x^4 + 154x^3 + 112x^2 + 21x + 1$ |
26264.b.367696.1 |
26264.b |
\( 2^{3} \cdot 7^{2} \cdot 67 \) |
\( 2^{4} \cdot 7^{3} \cdot 67 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$3$ |
$3$ |
2.120.3 |
✓ |
✓ |
$4$ |
\( 2^{2} \) |
\(1.000000\) |
\(2.249055\) |
\(2.249055\) |
$[34912,6082384,65801363740,1470784]$ |
$[17456,11682600,9916824068,9156234542752,367696]$ |
$[101298656059487092736/22981,3883771980893337600/22981,188860916295729728/22981]$ |
$y^2 + xy = 2x^5 + 14x^4 + 16x^3 - 32x^2 + x$ |
28050.a.701250.1 |
28050.a |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3 \cdot 5^{4} \cdot 11 \cdot 17 \) |
$0$ |
$4$ |
$\Z/2\Z\oplus\Z/2\Z$ |
\(\Q \times \Q\) |
\(\Q \times \Q\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
|
|
$C_2^2$ |
$C_2^2$ |
$0$ |
$0$ |
2.90.6, 3.90.1 |
|
✓ |
$4$ |
\( 2 \) |
\(1.000000\) |
\(5.319959\) |
\(2.659979\) |
$[55404,148569,2740841091,89760000]$ |
$[13851,7987568,6136947300,5300403624419,701250]$ |
$[169935608762809431417/233750,3537583550966246328/116875,41974138075986/25]$ |
$y^2 + (x^3 + 1)y = 5x^6 + 11x^5 + 23x^4 + 23x^3 + 23x^2 + 11x + 5$ |