| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 26775.a1 |
26775bi1 |
26775.a |
26775bi |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{19} \cdot 5^{10} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$5.166732914$ |
$1$ |
|
$2$ |
$474240$ |
$2.170048$ |
$352558182400/189724437$ |
$0.97167$ |
$4.83310$ |
$[0, 0, 1, -283125, -15352344]$ |
\(y^2+y=x^3-283125x-15352344\) |
714.2.0.? |
$[(-61, 1300)]$ |
| 26775.b1 |
26775bt1 |
26775.b |
26775bt |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{10} \cdot 5^{9} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$199680$ |
$1.613914$ |
$-11977551872/472311$ |
$0.87295$ |
$4.34996$ |
$[0, 0, 1, -53625, -4939844]$ |
\(y^2+y=x^3-53625x-4939844\) |
1190.2.0.? |
$[]$ |
| 26775.c1 |
26775ba1 |
26775.c |
26775ba |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{13} \cdot 5^{6} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.276218$ |
$-8390176768/1821771$ |
$0.90870$ |
$3.86624$ |
$[0, 0, 1, -9525, -419594]$ |
\(y^2+y=x^3-9525x-419594\) |
102.2.0.? |
$[]$ |
| 26775.d1 |
26775m1 |
26775.d |
26775m |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{4} \cdot 7^{5} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1088640$ |
$2.627296$ |
$470357606027980800/6896562077111$ |
$1.02878$ |
$5.59257$ |
$[0, 0, 1, -3740175, 2748611306]$ |
\(y^2+y=x^3-3740175x+2748611306\) |
714.2.0.? |
$[]$ |
| 26775.e1 |
26775p1 |
26775.e |
26775p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{8} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$0.891746425$ |
$1$ |
|
$4$ |
$86400$ |
$1.318207$ |
$14929920/5831$ |
$0.74598$ |
$3.85297$ |
$[0, 0, 1, -10125, -223594]$ |
\(y^2+y=x^3-10125x-223594\) |
714.2.0.? |
$[(-75, 337)]$ |
| 26775.f1 |
26775j1 |
26775.f |
26775j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$0.185521320$ |
$1$ |
|
$8$ |
$5760$ |
$-0.035818$ |
$14929920/5831$ |
$0.74598$ |
$2.25925$ |
$[0, 0, 1, -45, 66]$ |
\(y^2+y=x^3-45x+66\) |
714.2.0.? |
$[(-1, 10)]$ |
| 26775.g1 |
26775f1 |
26775.g |
26775f |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{3} \cdot 5^{10} \cdot 7^{5} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1814400$ |
$2.882710$ |
$470357606027980800/6896562077111$ |
$1.02878$ |
$5.89320$ |
$[0, 0, 1, -10389375, -12725052344]$ |
\(y^2+y=x^3-10389375x-12725052344\) |
714.2.0.? |
$[]$ |
| 26775.h1 |
26775bx1 |
26775.h |
26775bx |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{8} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$1.590838139$ |
$1$ |
|
$4$ |
$74880$ |
$1.176710$ |
$1411502080/3213$ |
$0.83106$ |
$3.97589$ |
$[0, 0, 1, -15375, -732344]$ |
\(y^2+y=x^3-15375x-732344\) |
714.2.0.? |
$[(-74, 13)]$ |
| 26775.i1 |
26775br1 |
26775.i |
26775br |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{6} \cdot 5^{17} \cdot 7^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$988416$ |
$2.428059$ |
$-110470393399988224/284716796875$ |
$0.97379$ |
$5.44336$ |
$[0, 0, 1, -2249175, -1301211594]$ |
\(y^2+y=x^3-2249175x-1301211594\) |
1190.2.0.? |
$[]$ |
| 26775.j1 |
26775bg4 |
26775.j |
26775bg |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{7} \cdot 7^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$14280$ |
$48$ |
$0$ |
$0.747749410$ |
$1$ |
|
$8$ |
$294912$ |
$2.067673$ |
$115650783909361/27072079335$ |
$0.92769$ |
$4.76987$ |
$[1, -1, 1, -228380, -32360128]$ |
\(y^2+xy+y=x^3-x^2-228380x-32360128\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 952.24.0.?, 14280.48.0.? |
$[(664, 10080)]$ |
| 26775.j2 |
26775bg2 |
26775.j |
26775bg |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1.495498820$ |
$1$ |
|
$12$ |
$147456$ |
$1.721100$ |
$4347507044161/258084225$ |
$0.89881$ |
$4.44806$ |
$[1, -1, 1, -76505, 7734872]$ |
\(y^2+xy+y=x^3-x^2-76505x+7734872\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 476.24.0.?, 7140.48.0.? |
$[(214, 955)]$ |
| 26775.j3 |
26775bg1 |
26775.j |
26775bg |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{7} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$14280$ |
$48$ |
$0$ |
$2.990997640$ |
$1$ |
|
$7$ |
$73728$ |
$1.374527$ |
$4158523459441/16065$ |
$0.89697$ |
$4.44370$ |
$[1, -1, 1, -75380, 7984622]$ |
\(y^2+xy+y=x^3-x^2-75380x+7984622\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 952.24.0.?, 3570.6.0.?, $\ldots$ |
$[(160, -54)]$ |
| 26775.j4 |
26775bg3 |
26775.j |
26775bg |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{18} \cdot 5^{10} \cdot 7 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$14280$ |
$48$ |
$0$ |
$2.990997640$ |
$1$ |
|
$4$ |
$294912$ |
$2.067673$ |
$1833318007919/39525924375$ |
$0.95071$ |
$4.71554$ |
$[1, -1, 1, 57370, 31832372]$ |
\(y^2+xy+y=x^3-x^2+57370x+31832372\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(-101, 5050)]$ |
| 26775.k1 |
26775n1 |
26775.k |
26775n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{3} \cdot 5^{8} \cdot 7 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1428$ |
$2$ |
$0$ |
$0.470284099$ |
$1$ |
|
$6$ |
$172800$ |
$1.889166$ |
$-1995310715276835/9938999$ |
$0.96312$ |
$5.04167$ |
$[1, -1, 1, -575180, 168045572]$ |
\(y^2+xy+y=x^3-x^2-575180x+168045572\) |
1428.2.0.? |
$[(450, 208)]$ |
| 26775.l1 |
26775a1 |
26775.l |
26775a |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1428$ |
$2$ |
$0$ |
$0.668861612$ |
$1$ |
|
$4$ |
$1920$ |
$-0.370061$ |
$179685/119$ |
$0.69214$ |
$1.82572$ |
$[1, -1, 1, 10, 2]$ |
\(y^2+xy+y=x^3-x^2+10x+2\) |
1428.2.0.? |
$[(0, 1)]$ |
| 26775.m1 |
26775w4 |
26775.m |
26775w |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{8} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$2.500404$ |
$25351269426118370449/27551475$ |
$0.98384$ |
$5.97610$ |
$[1, -1, 1, -13770230, 19671428522]$ |
\(y^2+xy+y=x^3-x^2-13770230x+19671428522\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
| 26775.m2 |
26775w3 |
26775.m |
26775w |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{14} \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$2.500404$ |
$12010404962647729/6166198828125$ |
$0.97579$ |
$5.22528$ |
$[1, -1, 1, -1073480, 144070022]$ |
\(y^2+xy+y=x^3-x^2-1073480x+144070022\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[]$ |
| 26775.m3 |
26775w2 |
26775.m |
26775w |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{12} \cdot 5^{10} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$294912$ |
$2.153831$ |
$6193921595708449/6452105625$ |
$0.94493$ |
$5.16032$ |
$[1, -1, 1, -860855, 307366022]$ |
\(y^2+xy+y=x^3-x^2-860855x+307366022\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 204.12.0.?, 420.24.0.?, $\ldots$ |
$[]$ |
| 26775.m4 |
26775w1 |
26775.m |
26775w |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{18} \cdot 5^{8} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.807259$ |
$-656008386769/1581036975$ |
$0.91083$ |
$4.42360$ |
$[1, -1, 1, -40730, 7200272]$ |
\(y^2+xy+y=x^3-x^2-40730x+7200272\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 168.12.0.?, 238.6.0.?, $\ldots$ |
$[]$ |
| 26775.n1 |
26775x4 |
26775.n |
26775x |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{7} \cdot 7 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$196608$ |
$1.849174$ |
$530044731605089/26309115$ |
$0.93057$ |
$4.91919$ |
$[1, -1, 1, -379355, -89833728]$ |
\(y^2+xy+y=x^3-x^2-379355x-89833728\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 140.12.0.?, 420.24.0.?, $\ldots$ |
$[]$ |
| 26775.n2 |
26775x3 |
26775.n |
26775x |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{14} \cdot 5^{7} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$1.849174$ |
$17032120495489/1339001685$ |
$0.90955$ |
$4.58199$ |
$[1, -1, 1, -120605, 15016272]$ |
\(y^2+xy+y=x^3-x^2-120605x+15016272\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 170.6.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 26775.n3 |
26775x2 |
26775.n |
26775x |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{10} \cdot 5^{8} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7140$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$98304$ |
$1.502602$ |
$151334226289/28676025$ |
$1.02382$ |
$4.11870$ |
$[1, -1, 1, -24980, -1239978]$ |
\(y^2+xy+y=x^3-x^2-24980x-1239978\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 140.12.0.?, 340.12.0.?, 420.24.0.?, $\ldots$ |
$[]$ |
| 26775.n4 |
26775x1 |
26775.n |
26775x |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{10} \cdot 7 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$14280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.156029$ |
$302111711/669375$ |
$0.83568$ |
$3.61095$ |
$[1, -1, 1, 3145, -114978]$ |
\(y^2+xy+y=x^3-x^2+3145x-114978\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 238.6.0.?, 280.12.0.?, $\ldots$ |
$[]$ |
| 26775.o1 |
26775bf6 |
26775.o |
26775bf |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{10} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$28560$ |
$192$ |
$1$ |
$1.328889553$ |
$1$ |
|
$6$ |
$1572864$ |
$2.915234$ |
$40832710302042509761/91556816413125$ |
$1.06564$ |
$6.02285$ |
$[1, -1, 1, -16141505, 24916755372]$ |
\(y^2+xy+y=x^3-x^2-16141505x+24916755372\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 42.6.0.a.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(2424, 4100)]$ |
| 26775.o2 |
26775bf4 |
26775.o |
26775bf |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{14} \cdot 7^{2} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$14280$ |
$192$ |
$1$ |
$2.657779106$ |
$1$ |
|
$8$ |
$786432$ |
$2.568661$ |
$25288177725059761/14387797265625$ |
$1.10504$ |
$5.29831$ |
$[1, -1, 1, -1375880, 80974122]$ |
\(y^2+xy+y=x^3-x^2-1375880x+80974122\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 60.24.0-4.b.1.1, 84.24.0.?, $\ldots$ |
$[(1334, 24195)]$ |
| 26775.o3 |
26775bf2 |
26775.o |
26775bf |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$14280$ |
$192$ |
$1$ |
$5.315558212$ |
$1$ |
|
$4$ |
$393216$ |
$2.222088$ |
$6610905152742241/35128130625$ |
$0.94538$ |
$5.16671$ |
$[1, -1, 1, -879755, -315925878]$ |
\(y^2+xy+y=x^3-x^2-879755x-315925878\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 60.24.0-4.b.1.3, 68.24.0.c.1, $\ldots$ |
$[(3654, 210885)]$ |
| 26775.o4 |
26775bf1 |
26775.o |
26775bf |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$28560$ |
$192$ |
$1$ |
$10.63111642$ |
$1$ |
|
$1$ |
$196608$ |
$1.875513$ |
$6585576176607121/187425$ |
$0.94525$ |
$5.16634$ |
$[1, -1, 1, -878630, -316778628]$ |
\(y^2+xy+y=x^3-x^2-878630x-316778628\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.1, 34.6.0.a.1, $\ldots$ |
$[(141564/11, 20502220/11)]$ |
| 26775.o5 |
26775bf3 |
26775.o |
26775bf |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{14} \cdot 5^{8} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$28560$ |
$192$ |
$1$ |
$10.63111642$ |
$1$ |
|
$0$ |
$786432$ |
$2.568661$ |
$-629004249876241/16074715228425$ |
$0.98451$ |
$5.30971$ |
$[1, -1, 1, -401630, -658263378]$ |
\(y^2+xy+y=x^3-x^2-401630x-658263378\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 60.12.0-4.c.1.2, 68.12.0.h.1, $\ldots$ |
$[(177921/7, 72739680/7)]$ |
| 26775.o6 |
26775bf5 |
26775.o |
26775bf |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{7} \cdot 5^{22} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$28560$ |
$192$ |
$1$ |
$5.315558212$ |
$1$ |
|
$2$ |
$1572864$ |
$2.915234$ |
$1573196002879828319/926055908203125$ |
$1.02075$ |
$5.70345$ |
$[1, -1, 1, 5451745, 640839372]$ |
\(y^2+xy+y=x^3-x^2+5451745x+640839372\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.e.2, 60.12.0-4.c.1.1, $\ldots$ |
$[(263, 45615)]$ |
| 26775.p1 |
26775bq6 |
26775.p |
26775bq |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{7} \cdot 7^{8} \cdot 17^{2} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$28560$ |
$192$ |
$1$ |
$1.163806048$ |
$1$ |
|
$34$ |
$786432$ |
$2.475277$ |
$1375634265228629281/24990412335$ |
$1.04808$ |
$5.69029$ |
$[1, -1, 1, -5213255, 4582771872]$ |
\(y^2+xy+y=x^3-x^2-5213255x+4582771872\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 60.24.0-60.h.1.3, 120.48.0.?, $\ldots$ |
$[(1328, -129), (1314, -745)]$ |
| 26775.p2 |
26775bq4 |
26775.p |
26775bq |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{14} \cdot 7 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$28560$ |
$192$ |
$1$ |
$18.62089678$ |
$1$ |
|
$6$ |
$393216$ |
$2.128700$ |
$20751759537944401/418359375$ |
$0.95142$ |
$5.27891$ |
$[1, -1, 1, -1288130, -562381878]$ |
\(y^2+xy+y=x^3-x^2-1288130x-562381878\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 60.12.0-4.c.1.2, $\ldots$ |
$[(-655, 426), (-2613/2, 3093/2)]$ |
| 26775.p3 |
26775bq3 |
26775.p |
26775bq |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{4} \cdot 17^{4} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$14280$ |
$192$ |
$1$ |
$1.163806048$ |
$1$ |
|
$34$ |
$393216$ |
$2.128700$ |
$369543396484081/45120132225$ |
$1.10652$ |
$4.88382$ |
$[1, -1, 1, -336380, 66785622]$ |
\(y^2+xy+y=x^3-x^2-336380x+66785622\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 60.48.0-60.c.1.1, 168.48.0.?, 280.48.0.?, $\ldots$ |
$[(614, 9255), (155, 4206)]$ |
| 26775.p4 |
26775bq2 |
26775.p |
26775bq |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$14280$ |
$192$ |
$1$ |
$4.655224195$ |
$1$ |
|
$22$ |
$196608$ |
$1.782129$ |
$5602762882081/716900625$ |
$0.98003$ |
$4.47294$ |
$[1, -1, 1, -83255, -8139378]$ |
\(y^2+xy+y=x^3-x^2-83255x-8139378\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 60.24.0-4.b.1.3, 120.48.0.?, $\ldots$ |
$[(-196, 885), (-147, -879)]$ |
| 26775.p5 |
26775bq1 |
26775.p |
26775bq |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{14} \cdot 5^{8} \cdot 7 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$28560$ |
$192$ |
$1$ |
$4.655224195$ |
$1$ |
|
$13$ |
$98304$ |
$1.435555$ |
$4733169839/19518975$ |
$0.87668$ |
$3.95663$ |
$[1, -1, 1, 7870, -667128]$ |
\(y^2+xy+y=x^3-x^2+7870x-667128\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 60.12.0-4.c.1.2, $\ldots$ |
$[(74, 525), (84, 720)]$ |
| 26775.p6 |
26775bq5 |
26775.p |
26775bq |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{7} \cdot 5^{7} \cdot 7^{2} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$28560$ |
$192$ |
$1$ |
$1.163806048$ |
$1$ |
|
$18$ |
$786432$ |
$2.475277$ |
$1145725929069119/5127181719135$ |
$0.96557$ |
$5.18185$ |
$[1, -1, 1, 490495, 342961872]$ |
\(y^2+xy+y=x^3-x^2+490495x+342961872\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 30.6.0.a.1, 60.24.0-60.g.1.1, $\ldots$ |
$[(-286, 13530), (564, 27980)]$ |
| 26775.q1 |
26775q1 |
26775.q |
26775q |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{9} \cdot 5^{8} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1428$ |
$2$ |
$0$ |
$1.007624124$ |
$1$ |
|
$2$ |
$28800$ |
$0.983964$ |
$179685/119$ |
$0.69214$ |
$3.41944$ |
$[1, -1, 1, 2320, -16928]$ |
\(y^2+xy+y=x^3-x^2+2320x-16928\) |
1428.2.0.? |
$[(94, 965)]$ |
| 26775.r1 |
26775g2 |
26775.r |
26775g |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{8} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$1.263645604$ |
$1$ |
|
$6$ |
$55296$ |
$1.349070$ |
$4973940243/50575$ |
$0.82990$ |
$4.10698$ |
$[1, -1, 1, -24005, 1424872]$ |
\(y^2+xy+y=x^3-x^2-24005x+1424872\) |
2.3.0.a.1, 42.6.0.a.1, 1020.6.0.?, 2380.6.0.?, 7140.12.0.? |
$[(104, 160)]$ |
| 26775.r2 |
26775g1 |
26775.r |
26775g |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{9} \cdot 5^{7} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$7140$ |
$12$ |
$0$ |
$2.527291209$ |
$1$ |
|
$5$ |
$27648$ |
$1.002495$ |
$-19683/4165$ |
$0.86608$ |
$3.46594$ |
$[1, -1, 1, -380, 54622]$ |
\(y^2+xy+y=x^3-x^2-380x+54622\) |
2.3.0.a.1, 84.6.0.?, 510.6.0.?, 2380.6.0.?, 7140.12.0.? |
$[(-16, 245)]$ |
| 26775.s1 |
26775h1 |
26775.s |
26775h |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{9} \cdot 5^{2} \cdot 7 \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1428$ |
$2$ |
$0$ |
$3.330073904$ |
$1$ |
|
$2$ |
$103680$ |
$1.633755$ |
$-1995310715276835/9938999$ |
$0.96312$ |
$4.74104$ |
$[1, -1, 1, -207065, -36215018]$ |
\(y^2+xy+y=x^3-x^2-207065x-36215018\) |
1428.2.0.? |
$[(1138, 34085)]$ |
| 26775.t1 |
26775s2 |
26775.t |
26775s |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{10} \cdot 7^{3} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$190080$ |
$1.942009$ |
$121960038400/5055477$ |
$0.93730$ |
$4.72898$ |
$[0, 0, 1, -198750, 32860156]$ |
\(y^2+y=x^3-198750x+32860156\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 714.8.0.?, 3570.16.0.? |
$[]$ |
| 26775.t2 |
26775s1 |
26775.t |
26775s |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{10} \cdot 7 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63360$ |
$1.392702$ |
$419430400/3213$ |
$0.97966$ |
$4.17259$ |
$[0, 0, 1, -30000, -1986719]$ |
\(y^2+y=x^3-30000x-1986719\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 714.8.0.?, 3570.16.0.? |
$[]$ |
| 26775.u1 |
26775bb1 |
26775.u |
26775bb |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{16} \cdot 5^{13} \cdot 7^{3} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$7.898119180$ |
$1$ |
|
$2$ |
$8064000$ |
$3.876896$ |
$-11926249134908509075308544/2246680441062421875$ |
$1.05575$ |
$7.25726$ |
$[0, 0, 1, -1070966550, -13492196207469]$ |
\(y^2+y=x^3-1070966550x-13492196207469\) |
1190.2.0.? |
$[(20208365, 90843989062)]$ |
| 26775.v1 |
26775bs1 |
26775.v |
26775bs |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{17} \cdot 5^{8} \cdot 7^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$714$ |
$2$ |
$0$ |
$4.423356847$ |
$1$ |
|
$0$ |
$2217600$ |
$2.951355$ |
$4769863992106516480/2480098920957$ |
$1.02401$ |
$6.12797$ |
$[0, 0, 1, -23072250, -42637118594]$ |
\(y^2+y=x^3-23072250x-42637118594\) |
714.2.0.? |
$[(-137450/7, 1120666/7)]$ |
| 26775.w1 |
26775bc1 |
26775.w |
26775bc |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{7} \cdot 5^{6} \cdot 7^{4} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.812999267$ |
$1$ |
|
$4$ |
$35840$ |
$1.013412$ |
$-16777216/122451$ |
$1.06893$ |
$3.48151$ |
$[0, 0, 1, -1200, 59031]$ |
\(y^2+y=x^3-1200x+59031\) |
102.2.0.? |
$[(29, 220)]$ |
| 26775.x1 |
26775bd2 |
26775.x |
26775bd |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{9} \cdot 7^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$1.345586432$ |
$1$ |
|
$0$ |
$304128$ |
$2.165924$ |
$-209906535145406464/6559875$ |
$1.03595$ |
$5.50589$ |
$[0, 0, 1, -2785800, 1789670281]$ |
\(y^2+y=x^3-2785800x+1789670281\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 714.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(3865/2, 1121/2)]$ |
| 26775.x2 |
26775bd1 |
26775.x |
26775bd |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{12} \cdot 5^{7} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3570$ |
$16$ |
$0$ |
$0.448528810$ |
$1$ |
|
$4$ |
$101376$ |
$1.616619$ |
$-312217698304/125355195$ |
$0.96890$ |
$4.24142$ |
$[0, 0, 1, -31800, 2840656]$ |
\(y^2+y=x^3-31800x+2840656\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 714.8.0.?, 1190.2.0.?, 3570.16.0.? |
$[(190, 1912)]$ |
| 26775.y1 |
26775bn1 |
26775.y |
26775bn |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{23} \cdot 5^{6} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$609280$ |
$2.481846$ |
$5009339741732864/5271114033171$ |
$1.04955$ |
$5.13950$ |
$[0, 0, 1, 802050, -250095969]$ |
\(y^2+y=x^3+802050x-250095969\) |
102.2.0.? |
$[]$ |
| 26775.z1 |
26775bw2 |
26775.z |
26775bw |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{7} \cdot 5^{4} \cdot 7^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$714$ |
$16$ |
$0$ |
$0.940693160$ |
$1$ |
|
$8$ |
$38016$ |
$1.137291$ |
$121960038400/5055477$ |
$0.93730$ |
$3.78181$ |
$[0, 0, 1, -7950, 262881]$ |
\(y^2+y=x^3-7950x+262881\) |
3.8.0-3.a.1.2, 714.16.0.? |
$[(41, 76)]$ |
| 26775.z2 |
26775bw1 |
26775.z |
26775bw |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( 3^{9} \cdot 5^{4} \cdot 7 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$714$ |
$16$ |
$0$ |
$2.822079481$ |
$1$ |
|
$0$ |
$12672$ |
$0.587984$ |
$419430400/3213$ |
$0.97966$ |
$3.22542$ |
$[0, 0, 1, -1200, -15894]$ |
\(y^2+y=x^3-1200x-15894\) |
3.8.0-3.a.1.1, 714.16.0.? |
$[(-79/2, 77/2)]$ |
| 26775.ba1 |
26775bm1 |
26775.ba |
26775bm |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 17 \) |
\( - 3^{8} \cdot 5^{11} \cdot 7 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.306356$ |
$-4878401536/3346875$ |
$0.87578$ |
$3.85850$ |
$[0, 0, 1, -7950, -403344]$ |
\(y^2+y=x^3-7950x-403344\) |
1190.2.0.? |
$[]$ |
