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 |
48552.a1 |
48552m1 |
48552.a |
48552m |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$2856$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1009664$ |
$2.067627$ |
$1335255248/441$ |
$0.89614$ |
$4.82434$ |
$[0, -1, 0, -715660, 233200276]$ |
\(y^2=x^3-x^2-715660x+233200276\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 34.6.0.a.1, 68.12.0.k.1, $\ldots$ |
$[ ]$ |
48552.a2 |
48552m2 |
48552.a |
48552m |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$2856$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2019328$ |
$2.414200$ |
$-214330532/194481$ |
$0.91609$ |
$4.87068$ |
$[0, -1, 0, -617400, 299427516]$ |
\(y^2=x^3-x^2-617400x+299427516\) |
2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 168.24.0.?, 2856.48.1.? |
$[ ]$ |
48552.b1 |
48552e1 |
48552.b |
48552e |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$13.85069228$ |
$1$ |
|
$0$ |
$217728$ |
$1.609402$ |
$-130098552670514/257298363$ |
$0.98992$ |
$4.24394$ |
$[0, -1, 0, -88632, -10144116]$ |
\(y^2=x^3-x^2-88632x-10144116\) |
24.2.0.b.1 |
$[(16992205/113, 68087300064/113)]$ |
48552.c1 |
48552ba1 |
48552.c |
48552ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.460575003$ |
$1$ |
|
$4$ |
$184320$ |
$1.358061$ |
$-307981312/2499$ |
$1.05298$ |
$3.90198$ |
$[0, -1, 0, -25817, -1599219]$ |
\(y^2=x^3-x^2-25817x-1599219\) |
102.2.0.? |
$[(295, 4046)]$ |
48552.d1 |
48552l1 |
48552.d |
48552l |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{2} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$0.752793$ |
$-2343314/107163$ |
$0.94316$ |
$2.99715$ |
$[0, -1, 0, -232, -12116]$ |
\(y^2=x^3-x^2-232x-12116\) |
24.2.0.b.1 |
$[ ]$ |
48552.e1 |
48552k2 |
48552.e |
48552k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 7^{2} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9732096$ |
$3.355888$ |
$1044942448578893426/7759962920241$ |
$1.00580$ |
$6.12715$ |
$[0, -1, 0, -77588504, 261386156748]$ |
\(y^2=x^3-x^2-77588504x+261386156748\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[ ]$ |
48552.e2 |
48552k1 |
48552.e |
48552k |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{16} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4866048$ |
$3.009315$ |
$-23707171994692/1480419781911$ |
$1.02023$ |
$5.50657$ |
$[0, -1, 0, -1743344, 9246506844]$ |
\(y^2=x^3-x^2-1743344x+9246506844\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[ ]$ |
48552.f1 |
48552i4 |
48552.f |
48552i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.423565$ |
$381775972/567$ |
$0.96461$ |
$4.04907$ |
$[0, -1, 0, -44024, 3565500]$ |
\(y^2=x^3-x^2-44024x+3565500\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 68.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
48552.f2 |
48552i2 |
48552.f |
48552i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$73728$ |
$1.076992$ |
$810448/441$ |
$0.95393$ |
$3.35018$ |
$[0, -1, 0, -3564, 21204]$ |
\(y^2=x^3-x^2-3564x+21204\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 68.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[ ]$ |
48552.f3 |
48552i1 |
48552.f |
48552i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.730418$ |
$2725888/21$ |
$0.93026$ |
$3.20565$ |
$[0, -1, 0, -2119, -36596]$ |
\(y^2=x^3-x^2-2119x-36596\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[ ]$ |
48552.f4 |
48552i3 |
48552.f |
48552i |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.423565$ |
$11696828/7203$ |
$1.01215$ |
$3.72605$ |
$[0, -1, 0, 13776, 152988]$ |
\(y^2=x^3-x^2+13776x+152988\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[ ]$ |
48552.g1 |
48552j2 |
48552.g |
48552j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$940032$ |
$2.358570$ |
$20389313444/1323$ |
$0.93991$ |
$5.20543$ |
$[0, -1, 0, -2818424, -1820158596]$ |
\(y^2=x^3-x^2-2818424x-1820158596\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
48552.g2 |
48552j1 |
48552.g |
48552j |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$470016$ |
$2.011997$ |
$-16484816/5103$ |
$0.84429$ |
$4.45679$ |
$[0, -1, 0, -165404, -32023116]$ |
\(y^2=x^3-x^2-165404x-32023116\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
48552.h1 |
48552b1 |
48552.h |
48552b |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{17} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$5.168918021$ |
$1$ |
|
$2$ |
$254592$ |
$1.719227$ |
$-44480898716402/6327867987$ |
$0.98742$ |
$4.16453$ |
$[0, -1, 0, -61976, 6649164]$ |
\(y^2=x^3-x^2-61976x+6649164\) |
24.2.0.b.1 |
$[(433, 7798)]$ |
48552.i1 |
48552y1 |
48552.i |
48552y |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 7^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$2.187148368$ |
$1$ |
|
$0$ |
$248832$ |
$1.728106$ |
$-2/157437$ |
$1.17529$ |
$4.08191$ |
$[0, -1, 0, -96, -4244436]$ |
\(y^2=x^3-x^2-96x-4244436\) |
2856.2.0.? |
$[(653/2, 2023/2)]$ |
48552.j1 |
48552a1 |
48552.j |
48552a |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.301019365$ |
$1$ |
|
$4$ |
$10368$ |
$0.235878$ |
$-544000/27783$ |
$0.90564$ |
$2.42226$ |
$[0, -1, 0, -28, -539]$ |
\(y^2=x^3-x^2-28x-539\) |
14.2.0.a.1 |
$[(10, 9)]$ |
48552.k1 |
48552f1 |
48552.k |
48552f |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{7} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2261952$ |
$2.841682$ |
$-9528223648000/7411887$ |
$1.00267$ |
$5.65238$ |
$[0, -1, 0, -14059368, -20299636755]$ |
\(y^2=x^3-x^2-14059368x-20299636755\) |
14.2.0.a.1 |
$[ ]$ |
48552.l1 |
48552x1 |
48552.l |
48552x |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.509762488$ |
$1$ |
|
$4$ |
$6336$ |
$-0.215189$ |
$-544000/63$ |
$0.72137$ |
$2.02292$ |
$[0, -1, 0, -28, 73]$ |
\(y^2=x^3-x^2-28x+73\) |
14.2.0.a.1 |
$[(4, 3)]$ |
48552.m1 |
48552w1 |
48552.m |
48552w |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 7^{6} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$2.224560$ |
$721888256/486008019$ |
$1.02597$ |
$4.63376$ |
$[0, -1, 0, 34295, 83329789]$ |
\(y^2=x^3-x^2+34295x+83329789\) |
102.2.0.? |
$[ ]$ |
48552.n1 |
48552g1 |
48552.n |
48552g |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41472$ |
$0.875373$ |
$-5885299474/189$ |
$0.93481$ |
$3.57911$ |
$[0, -1, 0, -8120, 284364]$ |
\(y^2=x^3-x^2-8120x+284364\) |
2856.2.0.? |
$[ ]$ |
48552.o1 |
48552h1 |
48552.o |
48552h |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1216512$ |
$2.597534$ |
$135037162496/42645837339$ |
$1.04060$ |
$5.04834$ |
$[0, -1, 0, 196135, 780240573]$ |
\(y^2=x^3-x^2+196135x+780240573\) |
102.2.0.? |
$[ ]$ |
48552.p1 |
48552d2 |
48552.p |
48552d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$4.308141333$ |
$1$ |
|
$1$ |
$368640$ |
$1.785501$ |
$2204605874/127449$ |
$0.87230$ |
$4.27581$ |
$[0, -1, 0, -99512, -11430132]$ |
\(y^2=x^3-x^2-99512x-11430132\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(1469/2, 9537/2)]$ |
48552.p2 |
48552d1 |
48552.p |
48552d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$8.616282666$ |
$1$ |
|
$3$ |
$184320$ |
$1.438929$ |
$415292/9639$ |
$0.84540$ |
$3.75647$ |
$[0, -1, 0, 4528, -734820]$ |
\(y^2=x^3-x^2+4528x-734820\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(15562, 1941280)]$ |
48552.q1 |
48552c4 |
48552.q |
48552c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3 \cdot 7 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$13.93268669$ |
$1$ |
|
$1$ |
$368640$ |
$1.928480$ |
$17418812548/1753941$ |
$0.95006$ |
$4.40314$ |
$[0, -1, 0, -157312, -21774020]$ |
\(y^2=x^3-x^2-157312x-21774020\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 42.6.0.a.1, 68.12.0-4.c.1.1, $\ldots$ |
$[(-722331/65, 84430672/65)]$ |
48552.q2 |
48552c2 |
48552.q |
48552c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$6.966343345$ |
$1$ |
|
$3$ |
$184320$ |
$1.581907$ |
$830321872/127449$ |
$0.90584$ |
$3.99261$ |
$[0, -1, 0, -35932, 2259220]$ |
\(y^2=x^3-x^2-35932x+2259220\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 84.24.0.?, 1428.48.0.? |
$[(1/5, 187824/5)]$ |
48552.q3 |
48552c1 |
48552.q |
48552c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$13.93268669$ |
$1$ |
|
$3$ |
$92160$ |
$1.235332$ |
$11745974272/357$ |
$0.89450$ |
$3.98119$ |
$[0, -1, 0, -34487, 2476548]$ |
\(y^2=x^3-x^2-34487x+2476548\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 136.24.0.?, 168.24.0.?, 714.6.0.?, $\ldots$ |
$[(3077281/160, 947152271/160)]$ |
48552.q4 |
48552c3 |
48552.q |
48552c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$3.483171672$ |
$1$ |
|
$3$ |
$368640$ |
$1.928480$ |
$1083360092/3306177$ |
$0.89785$ |
$4.28034$ |
$[0, -1, 0, 62328, 12360348]$ |
\(y^2=x^3-x^2+62328x+12360348\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 168.24.0.?, 2856.48.0.? |
$[(941, 30056)]$ |
48552.r1 |
48552z4 |
48552.r |
48552z |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{3} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$29.42515016$ |
$1$ |
|
$1$ |
$39813120$ |
$4.307617$ |
$322159999717985454060440834/4250799$ |
$1.10805$ |
$7.93864$ |
$[0, -1, 0, -52415185632, 4618866912554412]$ |
\(y^2=x^3-x^2-52415185632x+4618866912554412\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.1, 56.24.0-8.p.1.5, $\ldots$ |
$[(2208461725907501/129139, 333102455480756082940/129139)]$ |
48552.r2 |
48552z3 |
48552.r |
48552z |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{12} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$7.356287540$ |
$1$ |
|
$1$ |
$39813120$ |
$4.307617$ |
$79260902459030376659234/842751810121431609$ |
$1.04228$ |
$7.16850$ |
$[0, -1, 0, -3284376432, 71780641472268]$ |
\(y^2=x^3-x^2-3284376432x+71780641472268\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0-8.k.1.3, 68.12.0-4.c.1.1, $\ldots$ |
$[(30782301/26, 71698856481/26)]$ |
48552.r3 |
48552z2 |
48552.r |
48552z |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$14.71257508$ |
$1$ |
|
$3$ |
$19906560$ |
$3.961040$ |
$157304700372188331121828/18069292138401$ |
$1.04207$ |
$7.16779$ |
$[0, -1, 0, -3275949192, 72170610317820]$ |
\(y^2=x^3-x^2-3275949192x+72170610317820\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0-2.a.1.1, 56.24.0-8.a.1.3, 68.12.0-2.a.1.1, $\ldots$ |
$[(301818302/89, 1150996115360/89)]$ |
48552.r4 |
48552z1 |
48552.r |
48552z |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{24} \cdot 7^{3} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$7.356287540$ |
$1$ |
|
$3$ |
$9953280$ |
$3.614468$ |
$-152435594466395827792/1646846627220711$ |
$1.01679$ |
$6.39794$ |
$[0, -1, 0, -204220212, 1133805926340]$ |
\(y^2=x^3-x^2-204220212x+1133805926340\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0-4.c.1.2, 56.24.0-8.p.1.6, $\ldots$ |
$[(-676, 1127630)]$ |
48552.s1 |
48552p4 |
48552.s |
48552p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.944796$ |
$7080974546692/189$ |
$1.03534$ |
$4.95989$ |
$[0, 1, 0, -1165344, 483816816]$ |
\(y^2=x^3+x^2-1165344x+483816816\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 42.6.0.a.1, 56.12.0.ba.1, $\ldots$ |
$[ ]$ |
48552.s2 |
48552p3 |
48552.s |
48552p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 7 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.944796$ |
$6522128932/3720087$ |
$1.09944$ |
$4.31210$ |
$[0, 1, 0, -113384, -1800288]$ |
\(y^2=x^3+x^2-113384x-1800288\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0.h.1, 68.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
48552.s3 |
48552p2 |
48552.s |
48552p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1428$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$245760$ |
$1.598223$ |
$6940769488/35721$ |
$0.97939$ |
$4.18939$ |
$[0, 1, 0, -72924, 7521696]$ |
\(y^2=x^3+x^2-72924x+7521696\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0.a.1, 68.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[ ]$ |
48552.s4 |
48552p1 |
48552.s |
48552p |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2856$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$1.251648$ |
$-2725888/64827$ |
$1.07980$ |
$3.55224$ |
$[0, 1, 0, -2119, 242942]$ |
\(y^2=x^3+x^2-2119x+242942\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 56.12.0.ba.1, $\ldots$ |
$[ ]$ |
48552.t1 |
48552bc4 |
48552.t |
48552bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3 \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2856$ |
$48$ |
$0$ |
$19.58828598$ |
$1$ |
|
$1$ |
$442368$ |
$2.023029$ |
$569001644066/122451$ |
$0.92381$ |
$4.79047$ |
$[0, 1, 0, -633584, -194288160]$ |
\(y^2=x^3+x^2-633584x-194288160\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 408.24.0.?, 952.24.0.?, $\ldots$ |
$[(226223139/455, 1928988398238/455)]$ |
48552.t2 |
48552bc3 |
48552.t |
48552bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3 \cdot 7 \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2856$ |
$48$ |
$0$ |
$19.58828598$ |
$1$ |
|
$1$ |
$442368$ |
$2.023029$ |
$52767497666/1753941$ |
$0.90421$ |
$4.57009$ |
$[0, 1, 0, -286784, 57294432]$ |
\(y^2=x^3+x^2-286784x+57294432\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 408.24.0.?, $\ldots$ |
$[(318281301/574, 4941334894665/574)]$ |
48552.t3 |
48552bc2 |
48552.t |
48552bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2856$ |
$48$ |
$0$ |
$9.794142990$ |
$1$ |
|
$3$ |
$221184$ |
$1.676455$ |
$381775972/127449$ |
$0.85650$ |
$4.04907$ |
$[0, 1, 0, -44024, -2327424]$ |
\(y^2=x^3+x^2-44024x-2327424\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 408.24.0.?, 476.24.0.?, $\ldots$ |
$[(45168/7, 9338160/7)]$ |
48552.t4 |
48552bc1 |
48552.t |
48552bc |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2856$ |
$48$ |
$0$ |
$4.897071495$ |
$1$ |
|
$5$ |
$110592$ |
$1.329882$ |
$9148592/9639$ |
$0.79089$ |
$3.57481$ |
$[0, 1, 0, 7996, -246624]$ |
\(y^2=x^3+x^2+7996x-246624\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 238.6.0.?, 408.24.0.?, $\ldots$ |
$[(910, 27594)]$ |
48552.u1 |
48552n1 |
48552.u |
48552n |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{3} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$705024$ |
$2.291981$ |
$-5885299474/189$ |
$0.93481$ |
$5.15452$ |
$[0, 1, 0, -2346776, 1382999856]$ |
\(y^2=x^3+x^2-2346776x+1382999856\) |
2856.2.0.? |
$[ ]$ |
48552.v1 |
48552bd1 |
48552.v |
48552bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107712$ |
$1.201418$ |
$-544000/63$ |
$0.72137$ |
$3.59833$ |
$[0, 1, 0, -8188, 309701]$ |
\(y^2=x^3+x^2-8188x+309701\) |
14.2.0.a.1 |
$[ ]$ |
48552.w1 |
48552r1 |
48552.w |
48552r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 7^{7} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$3.943571803$ |
$1$ |
|
$2$ |
$133056$ |
$1.425076$ |
$-9528223648000/7411887$ |
$1.00267$ |
$4.07697$ |
$[0, 1, 0, -48648, -4148991]$ |
\(y^2=x^3+x^2-48648x-4148991\) |
14.2.0.a.1 |
$[(708, 17799)]$ |
48552.x1 |
48552t1 |
48552.x |
48552t |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$176256$ |
$1.652485$ |
$-544000/27783$ |
$0.90564$ |
$3.99767$ |
$[0, 1, 0, -8188, -2697055]$ |
\(y^2=x^3+x^2-8188x-2697055\) |
14.2.0.a.1 |
$[ ]$ |
48552.y1 |
48552bb1 |
48552.y |
48552bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.310138039$ |
$1$ |
|
$4$ |
$1548288$ |
$2.782276$ |
$-371806976516936704/89266779$ |
$1.01123$ |
$5.83868$ |
$[0, 1, 0, -27490065, 55467695331]$ |
\(y^2=x^3+x^2-27490065x+55467695331\) |
102.2.0.? |
$[(2085, 84966)]$ |
48552.z1 |
48552u1 |
48552.z |
48552u |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{17} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4328064$ |
$3.135834$ |
$-44480898716402/6327867987$ |
$0.98742$ |
$5.73994$ |
$[0, 1, 0, -17911160, 32559875952]$ |
\(y^2=x^3+x^2-17911160x+32559875952\) |
24.2.0.b.1 |
$[ ]$ |
48552.ba1 |
48552o2 |
48552.ba |
48552o |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$0.941963$ |
$20389313444/1323$ |
$0.93991$ |
$3.63003$ |
$[0, 1, 0, -9752, -373920]$ |
\(y^2=x^3+x^2-9752x-373920\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[ ]$ |
48552.ba2 |
48552o1 |
48552.ba |
48552o |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$0.595389$ |
$-16484816/5103$ |
$0.84429$ |
$2.88138$ |
$[0, 1, 0, -572, -6720]$ |
\(y^2=x^3+x^2-572x-6720\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[ ]$ |
48552.bb1 |
48552s1 |
48552.bb |
48552s |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1.673909928$ |
$1$ |
|
$0$ |
$822528$ |
$2.169399$ |
$-2343314/107163$ |
$0.94316$ |
$4.57256$ |
$[0, 1, 0, -67144, -59928592]$ |
\(y^2=x^3+x^2-67144x-59928592\) |
24.2.0.b.1 |
$[(1829/2, 18207/2)]$ |
48552.bc1 |
48552v1 |
48552.bc |
48552v |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{7} \cdot 7^{6} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3701376$ |
$3.026009$ |
$-130098552670514/257298363$ |
$0.98992$ |
$5.81935$ |
$[0, 1, 0, -25614744, -49991730192]$ |
\(y^2=x^3+x^2-25614744x-49991730192\) |
24.2.0.b.1 |
$[ ]$ |
48552.bd1 |
48552q1 |
48552.bd |
48552q |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$2856$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$59392$ |
$0.651020$ |
$1335255248/441$ |
$0.89614$ |
$3.24893$ |
$[0, 1, 0, -2476, 46592]$ |
\(y^2=x^3+x^2-2476x+46592\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 34.6.0.a.1, 68.12.0.k.1, $\ldots$ |
$[ ]$ |