| 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 |
| 439569.a1 |
439569a1 |
439569.a |
439569a |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{7} \cdot 13^{8} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27316224$ |
$2.699734$ |
$-53248/51$ |
$0.69749$ |
$4.30750$ |
$[0, 0, 1, -1904799, -1648762268]$ |
\(y^2+y=x^3-1904799x-1648762268\) |
102.2.0.? |
$[]$ |
| 439569.b1 |
439569b1 |
439569.b |
439569b |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{9} \cdot 13^{2} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.355376069$ |
$1$ |
|
$14$ |
$3483648$ |
$1.586784$ |
$-53248/459$ |
$0.79514$ |
$3.26082$ |
$[0, 0, 1, -11271, -1836234]$ |
\(y^2+y=x^3-11271x-1836234\) |
102.2.0.? |
$[(272, 3901), (731, 19507)]$ |
| 439569.c1 |
439569c1 |
439569.c |
439569c |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{15} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2792448$ |
$1.616629$ |
$692224/19683$ |
$1.22690$ |
$3.28415$ |
$[0, 0, 1, 8619, -2136794]$ |
\(y^2+y=x^3+8619x-2136794\) |
102.2.0.? |
$[]$ |
| 439569.d1 |
439569d1 |
439569.d |
439569d |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{11} \cdot 13^{8} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$231042240$ |
$3.879364$ |
$-15388672/243$ |
$0.92676$ |
$5.54271$ |
$[0, 0, 1, -550486911, 5038652570292]$ |
\(y^2+y=x^3-550486911x+5038652570292\) |
6.2.0.a.1 |
$[]$ |
| 439569.e1 |
439569e1 |
439569.e |
439569e |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{9} \cdot 13^{6} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$14.40145438$ |
$1$ |
|
$0$ |
$14183424$ |
$2.488159$ |
$-110592/17$ |
$0.95016$ |
$4.16558$ |
$[0, 0, 1, -1318707, -655727056]$ |
\(y^2+y=x^3-1318707x-655727056\) |
102.2.0.? |
$[(6460191/65, 8251201886/65)]$ |
| 439569.f1 |
439569f1 |
439569.f |
439569f |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{11} \cdot 13^{8} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.631963578$ |
$1$ |
|
$6$ |
$13590720$ |
$2.462757$ |
$-15388672/243$ |
$0.92676$ |
$4.23442$ |
$[0, 0, 1, -1904799, 1025575528]$ |
\(y^2+y=x^3-1904799x+1025575528\) |
6.2.0.a.1 |
$[(676, 6844)]$ |
| 439569.g1 |
439569g1 |
439569.g |
439569g |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{15} \cdot 13^{4} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$47471616$ |
$3.033234$ |
$692224/19683$ |
$1.22690$ |
$4.59244$ |
$[0, 0, 1, 2490891, -10498067694]$ |
\(y^2+y=x^3+2490891x-10498067694\) |
102.2.0.? |
$[]$ |
| 439569.h1 |
439569h1 |
439569.h |
439569h |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{7} \cdot 13^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12054528$ |
$2.078018$ |
$-692224/867$ |
$0.84130$ |
$3.72880$ |
$[0, 0, 1, -146523, 38401236]$ |
\(y^2+y=x^3-146523x+38401236\) |
6.2.0.a.1 |
$[]$ |
| 439569.i1 |
439569i2 |
439569.i |
439569i |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{9} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$371589120$ |
$4.003563$ |
$177930109857804849/634933$ |
$1.28788$ |
$6.05691$ |
$[1, -1, 1, -5150732177, -142281237679460]$ |
\(y^2+xy+y=x^3-x^2-5150732177x-142281237679460\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
| 439569.i2 |
439569i1 |
439569.i |
439569i |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$185794560$ |
$3.656986$ |
$43499078731809/82055753$ |
$1.09179$ |
$5.41687$ |
$[1, -1, 1, -322066712, -2220967201670]$ |
\(y^2+xy+y=x^3-x^2-322066712x-2220967201670\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 439569.j1 |
439569j1 |
439569.j |
439569j |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{18} \cdot 13^{10} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1824915456$ |
$4.943161$ |
$147815204204011553/15178486401$ |
$1.06536$ |
$6.69679$ |
$[1, -1, 1, -82314139667, 9089128172263650]$ |
\(y^2+xy+y=x^3-x^2-82314139667x+9089128172263650\) |
2.3.0.a.1, 4.12.0.f.1, 34.6.0.a.1, 68.24.0.h.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 439569.j2 |
439569j2 |
439569.j |
439569j |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{30} \cdot 13^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$1768$ |
$48$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3649830912$ |
$5.289734$ |
$-116340772335201233/47730591665289$ |
$1.07137$ |
$6.71960$ |
$[1, -1, 1, -75999730982, 10542174641221110]$ |
\(y^2+xy+y=x^3-x^2-75999730982x+10542174641221110\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 68.12.0.l.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 439569.k1 |
439569k1 |
439569.k |
439569k |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{23} \cdot 13^{3} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$7.067561560$ |
$1$ |
|
$6$ |
$135834624$ |
$3.533836$ |
$81721188208261/129140163$ |
$1.10114$ |
$5.30929$ |
$[1, -1, 1, -202109459, -1104369572068]$ |
\(y^2+xy+y=x^3-x^2-202109459x-1104369572068\) |
156.2.0.? |
$[(-8046, 33547), (-8453, 469)]$ |
| 439569.l1 |
439569l1 |
439569.l |
439569l |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{9} \cdot 13^{10} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82487808$ |
$3.658600$ |
$77571$ |
$0.79144$ |
$5.34586$ |
$[1, -1, 1, -236790326, 1386821739970]$ |
\(y^2+xy+y=x^3-x^2-236790326x+1386821739970\) |
12.2.0.a.1 |
$[]$ |
| 439569.m1 |
439569m1 |
439569.m |
439569m |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 13^{6} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$6$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5728320$ |
$2.134731$ |
$-459$ |
$0.95016$ |
$3.77430$ |
$[1, -1, 1, -155681, -51569228]$ |
\(y^2+xy+y=x^3-x^2-155681x-51569228\) |
6.6.0.b.1 |
$[]$ |
| 439569.n1 |
439569n2 |
439569.n |
439569n |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 13^{8} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.634765779$ |
$1$ |
|
$4$ |
$23396352$ |
$2.921463$ |
$14348907/169$ |
$1.22690$ |
$4.66875$ |
$[1, -1, 1, -12610136, 17062512536]$ |
\(y^2+xy+y=x^3-x^2-12610136x+17062512536\) |
2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.? |
$[(2428, 26248)]$ |
| 439569.n2 |
439569n1 |
439569.n |
439569n |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 13^{7} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$7.269531559$ |
$1$ |
|
$3$ |
$11698176$ |
$2.574890$ |
$-27/13$ |
$0.83674$ |
$4.17171$ |
$[1, -1, 1, -155681, 682413320]$ |
\(y^2+xy+y=x^3-x^2-155681x+682413320\) |
2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(-314, 26619)]$ |
| 439569.o1 |
439569o2 |
439569.o |
439569o |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{7} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4128768$ |
$2.108570$ |
$36892780289/13$ |
$1.14481$ |
$4.21842$ |
$[1, -1, 1, -1793291, -923875234]$ |
\(y^2+xy+y=x^3-x^2-1793291x-923875234\) |
2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.? |
$[]$ |
| 439569.o2 |
439569o1 |
439569.o |
439569o |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$1.761997$ |
$9129329/169$ |
$0.83854$ |
$3.57932$ |
$[1, -1, 1, -112586, -14277688]$ |
\(y^2+xy+y=x^3-x^2-112586x-14277688\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.? |
$[]$ |
| 439569.p1 |
439569p1 |
439569.p |
439569p |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 13^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2115072$ |
$1.826820$ |
$77571$ |
$0.79144$ |
$3.65414$ |
$[1, -1, 1, -155681, -23339130]$ |
\(y^2+xy+y=x^3-x^2-155681x-23339130\) |
12.2.0.a.1 |
$[]$ |
| 439569.q1 |
439569q2 |
439569.q |
439569q |
$2$ |
$7$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{20} \cdot 13^{8} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$37128$ |
$192$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$76876800$ |
$3.638756$ |
$-276301129/4782969$ |
$1.06787$ |
$5.15477$ |
$[1, -1, 1, -32976833, 405266116610]$ |
\(y^2+xy+y=x^3-x^2-32976833x+405266116610\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.24.0.?, 136.4.0.?, $\ldots$ |
$[]$ |
| 439569.q2 |
439569q1 |
439569.q |
439569q |
$2$ |
$7$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{8} \cdot 13^{8} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$37128$ |
$192$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$10982400$ |
$2.665802$ |
$-658489/9$ |
$0.91436$ |
$4.42770$ |
$[1, -1, 1, -4404848, -3598988740]$ |
\(y^2+xy+y=x^3-x^2-4404848x-3598988740\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.24.0.?, 136.4.0.?, $\ldots$ |
$[]$ |
| 439569.r1 |
439569r1 |
439569.r |
439569r |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{9} \cdot 13^{4} \cdot 17^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24883200$ |
$2.956593$ |
$2307174311/38336139$ |
$0.99242$ |
$4.52008$ |
$[1, -1, 1, 2188687, 6560329988]$ |
\(y^2+xy+y=x^3-x^2+2188687x+6560329988\) |
102.2.0.? |
$[]$ |
| 439569.s1 |
439569s1 |
439569.s |
439569s |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{7} \cdot 13^{7} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1.214097197$ |
$1$ |
|
$8$ |
$774144$ |
$1.303701$ |
$83521/39$ |
$0.94173$ |
$3.00000$ |
$[1, -1, 1, -9158, 150518]$ |
\(y^2+xy+y=x^3-x^2-9158x+150518\) |
156.2.0.? |
$[(114, 703), (-389/2, 3089/2)]$ |
| 439569.t1 |
439569t1 |
439569.t |
439569t |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{10} \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.84 |
2B |
$10608$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$30081024$ |
$3.028652$ |
$274625/81$ |
$0.94244$ |
$4.61794$ |
$[1, -1, 1, -10119245, -8673373276]$ |
\(y^2+xy+y=x^3-x^2-10119245x-8673373276\) |
2.3.0.a.1, 4.12.0.f.1, 8.24.0.bh.1, 34.6.0.a.1, 48.48.1.gv.1, $\ldots$ |
$[]$ |
| 439569.t2 |
439569t2 |
439569.t |
439569t |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{14} \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.127 |
2B |
$10608$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$60162048$ |
$3.375225$ |
$5359375/6561$ |
$1.11521$ |
$4.85502$ |
$[1, -1, 1, 27244120, -57813670924]$ |
\(y^2+xy+y=x^3-x^2+27244120x-57813670924\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bj.1, 48.48.1.gx.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 439569.u1 |
439569u2 |
439569.u |
439569u |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{8} \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1.514421144$ |
$1$ |
|
$6$ |
$3538944$ |
$1.967611$ |
$8615125/2601$ |
$0.84733$ |
$3.63679$ |
$[1, -1, 1, -144410, 14644140]$ |
\(y^2+xy+y=x^3-x^2-144410x+14644140\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-4, 3903)]$ |
| 439569.u2 |
439569u1 |
439569.u |
439569u |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{7} \cdot 13^{3} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.028842289$ |
$1$ |
|
$5$ |
$1769472$ |
$1.621037$ |
$42875/51$ |
$0.76818$ |
$3.23282$ |
$[1, -1, 1, 24655, 1524696]$ |
\(y^2+xy+y=x^3-x^2+24655x+1524696\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(62, 1782)]$ |
| 439569.v1 |
439569v2 |
439569.v |
439569v |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{14} \cdot 13^{7} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49545216$ |
$3.378284$ |
$104154702625/24649677$ |
$0.90385$ |
$4.95244$ |
$[1, -1, 1, -43086920, -83679766842]$ |
\(y^2+xy+y=x^3-x^2-43086920x-83679766842\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
| 439569.v2 |
439569v1 |
439569.v |
439569v |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{10} \cdot 13^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24772608$ |
$3.031712$ |
$3981876625/232713$ |
$0.86491$ |
$4.70123$ |
$[1, -1, 1, -14514935, 20185113030]$ |
\(y^2+xy+y=x^3-x^2-14514935x+20185113030\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 439569.w1 |
439569w1 |
439569.w |
439569w |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{10} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.84 |
2B |
$10608$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.612045$ |
$274625/81$ |
$0.94244$ |
$3.30966$ |
$[1, -1, 1, -35015, -1757154]$ |
\(y^2+xy+y=x^3-x^2-35015x-1757154\) |
2.3.0.a.1, 4.12.0.f.1, 8.24.0.bh.1, 34.6.0.a.1, 48.48.1.gv.1, $\ldots$ |
$[]$ |
| 439569.w2 |
439569w2 |
439569.w |
439569w |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{14} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.127 |
2B |
$10608$ |
$192$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3538944$ |
$1.958618$ |
$5359375/6561$ |
$1.11521$ |
$3.54673$ |
$[1, -1, 1, 94270, -11789670]$ |
\(y^2+xy+y=x^3-x^2+94270x-11789670\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bj.1, 48.48.1.gx.1, 68.12.0.l.1, $\ldots$ |
$[]$ |
| 439569.x1 |
439569x1 |
439569.x |
439569x |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{7} \cdot 13^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$0.705043353$ |
$1$ |
|
$2$ |
$13160448$ |
$2.720306$ |
$83521/39$ |
$0.94173$ |
$4.30829$ |
$[1, -1, 1, -2646572, 728909952]$ |
\(y^2+xy+y=x^3-x^2-2646572x+728909952\) |
156.2.0.? |
$[(-939, 49310)]$ |
| 439569.y1 |
439569y1 |
439569.y |
439569y |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$1.702845414$ |
$1$ |
|
$4$ |
$124416$ |
$0.410214$ |
$77571$ |
$0.79144$ |
$2.34586$ |
$[1, -1, 1, -539, -4624]$ |
\(y^2+xy+y=x^3-x^2-539x-4624\) |
12.2.0.a.1 |
$[(-12, 7)]$ |
| 439569.z1 |
439569z5 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{22} \cdot 13^{7} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.6 |
2B |
$10608$ |
$192$ |
$1$ |
$19.12541976$ |
$1$ |
|
$4$ |
$396361728$ |
$4.403542$ |
$908031902324522977/161726530797$ |
$0.99284$ |
$6.18235$ |
$[1, -1, 1, -8867874164, 321376081297106]$ |
\(y^2+xy+y=x^3-x^2-8867874164x+321376081297106\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.2, 24.24.0-8.n.1.7, $\ldots$ |
$[(55858, 533742), (2464107/7, 544353256/7)]$ |
| 439569.z2 |
439569z3 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{14} \cdot 13^{8} \cdot 17^{10} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.13 |
2Cs |
$5304$ |
$192$ |
$1$ |
$76.50167907$ |
$1$ |
|
$4$ |
$198180864$ |
$4.056969$ |
$296380748763217/92608836489$ |
$0.96390$ |
$5.56455$ |
$[1, -1, 1, -610570499, 3938905042778]$ |
\(y^2+xy+y=x^3-x^2-610570499x+3938905042778\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.2, 24.48.0-8.d.2.13, 52.24.0.c.1, $\ldots$ |
$[(61942, 14244036), (432709/4, 170935725/4)]$ |
| 439569.z3 |
439569z2 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{10} \cdot 13^{10} \cdot 17^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.15 |
2Cs |
$5304$ |
$192$ |
$1$ |
$76.50167907$ |
$1$ |
|
$6$ |
$99090432$ |
$3.710396$ |
$17806161424897/668584449$ |
$0.93643$ |
$5.34813$ |
$[1, -1, 1, -239134694, -1376341326772]$ |
\(y^2+xy+y=x^3-x^2-239134694x-1376341326772\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.d.1, 24.48.0-8.d.1.13, 68.24.0.c.1, $\ldots$ |
$[(24931, 2843634), (247207276/113, 1599242959055/113)]$ |
| 439569.z4 |
439569z1 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{8} \cdot 13^{8} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.7 |
2B |
$10608$ |
$192$ |
$1$ |
$76.50167907$ |
$1$ |
|
$7$ |
$49545216$ |
$3.363823$ |
$17319700013617/25857$ |
$0.93528$ |
$5.34600$ |
$[1, -1, 1, -236936849, -1403712409264]$ |
\(y^2+xy+y=x^3-x^2-236936849x-1403712409264\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.f.1, 24.24.0-8.n.1.8, $\ldots$ |
$[(-8882, 5539), (54973893493570/21583, 403348365283456334509/21583)]$ |
| 439569.z5 |
439569z4 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{8} \cdot 13^{14} \cdot 17^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.92 |
2B |
$10608$ |
$192$ |
$1$ |
$76.50167907$ |
$1$ |
|
$2$ |
$198180864$ |
$4.056969$ |
$1193377118543/124806800313$ |
$1.00139$ |
$5.53966$ |
$[1, -1, 1, 97135591, -4939864790974]$ |
\(y^2+xy+y=x^3-x^2+97135591x-4939864790974\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.1, 48.48.0-8.ba.1.5, 68.12.0.h.1, $\ldots$ |
$[(1872922/3, 2562539708/3), (1867845/4, 2554152703/4)]$ |
| 439569.z6 |
439569z6 |
439569.z |
439569z |
$6$ |
$8$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{10} \cdot 13^{7} \cdot 17^{14} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.91 |
2B |
$10608$ |
$192$ |
$1$ |
$76.50167907$ |
$1$ |
|
$2$ |
$396361728$ |
$4.403542$ |
$6439735268725823/7345472585373$ |
$0.98854$ |
$5.80149$ |
$[1, -1, 1, 1703760286, 26673039209990]$ |
\(y^2+xy+y=x^3-x^2+1703760286x+26673039209990\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 48.48.0-8.ba.2.3, 52.12.0.h.1, $\ldots$ |
$[(48760, 14998114), (-91820/3, 77590163/3)]$ |
| 439569.ba1 |
439569ba2 |
439569.ba |
439569ba |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{7} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$70189056$ |
$3.525177$ |
$36892780289/13$ |
$1.14481$ |
$5.52671$ |
$[1, -1, 1, -518261009, -4541072067372]$ |
\(y^2+xy+y=x^3-x^2-518261009x-4541072067372\) |
2.3.0.a.1, 52.6.0.d.1, 68.6.0.c.1, 442.6.0.?, 884.12.0.? |
$[]$ |
| 439569.ba2 |
439569ba1 |
439569.ba |
439569ba |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$35094528$ |
$3.178604$ |
$9129329/169$ |
$0.83854$ |
$4.88760$ |
$[1, -1, 1, -32537264, -70276428894]$ |
\(y^2+xy+y=x^3-x^2-32537264x-70276428894\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.d.1, 884.12.0.? |
$[]$ |
| 439569.bb1 |
439569bb2 |
439569.bb |
439569bb |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{3} \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.305058392$ |
$1$ |
|
$2$ |
$1376256$ |
$1.504858$ |
$14348907/169$ |
$1.22690$ |
$3.36046$ |
$[1, -1, 1, -43634, 3483198]$ |
\(y^2+xy+y=x^3-x^2-43634x+3483198\) |
2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 2652.12.0.? |
$[(-4, 1914)]$ |
| 439569.bb2 |
439569bb1 |
439569.bb |
439569bb |
$2$ |
$2$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 13^{7} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$6.610116785$ |
$1$ |
|
$1$ |
$688128$ |
$1.158283$ |
$-27/13$ |
$0.83674$ |
$2.86342$ |
$[1, -1, 1, -539, 139026]$ |
\(y^2+xy+y=x^3-x^2-539x+139026\) |
2.3.0.a.1, 52.6.0.e.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(130/3, 9679/3)]$ |
| 439569.bc1 |
439569bc1 |
439569.bc |
439569bc |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{3} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$6$ |
$6$ |
$0$ |
$4.431591530$ |
$1$ |
|
$2$ |
$336960$ |
$0.718124$ |
$-459$ |
$0.95016$ |
$2.46601$ |
$[1, -1, 1, -539, -10370]$ |
\(y^2+xy+y=x^3-x^2-539x-10370\) |
6.6.0.b.1 |
$[(130, 1385)]$ |
| 439569.bd1 |
439569bd1 |
439569.bd |
439569bd |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{9} \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$10.57686984$ |
$1$ |
|
$0$ |
$4852224$ |
$2.241993$ |
$77571$ |
$0.79144$ |
$4.03757$ |
$[1, -1, 1, -819344, 282468736]$ |
\(y^2+xy+y=x^3-x^2-819344x+282468736\) |
12.2.0.a.1 |
$[(246670/23, 12723859/23)]$ |
| 439569.be1 |
439569be3 |
439569.be |
439569be |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$42432$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$0$ |
$21233664$ |
$2.871750$ |
$82483294977/17$ |
$1.03131$ |
$4.93449$ |
$[1, -1, 1, -39863414, 96884531020]$ |
\(y^2+xy+y=x^3-x^2-39863414x+96884531020\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
| 439569.be2 |
439569be2 |
439569.be |
439569be |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.20 |
2Cs |
$21216$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$2$ |
$10616832$ |
$2.525177$ |
$20346417/289$ |
$1.02963$ |
$4.29514$ |
$[1, -1, 1, -2500049, 1503332848]$ |
\(y^2+xy+y=x^3-x^2-2500049x+1503332848\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 68.24.0.b.1, $\ldots$ |
$[]$ |
| 439569.be3 |
439569be1 |
439569.be |
439569be |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( 3^{6} \cdot 13^{6} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$42432$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5308416$ |
$2.178604$ |
$35937/17$ |
$1.02432$ |
$3.80729$ |
$[1, -1, 1, -302204, -27246410]$ |
\(y^2+xy+y=x^3-x^2-302204x-27246410\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[]$ |
| 439569.be4 |
439569be4 |
439569.be |
439569be |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 17^{2} \) |
\( - 3^{6} \cdot 13^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$42432$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$0$ |
$21233664$ |
$2.871750$ |
$-35937/83521$ |
$1.18071$ |
$4.44593$ |
$[1, -1, 1, -302204, 4052833048]$ |
\(y^2+xy+y=x^3-x^2-302204x+4052833048\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 136.48.1.?, $\ldots$ |
$[]$ |
