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 |
11025.a1 |
11025bp1 |
11025.a |
11025bp |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$15840$ |
$0.929163$ |
$-102400/3$ |
$1.04391$ |
$3.89893$ |
$[0, 0, 1, -3675, -87894]$ |
\(y^2+y=x^3-3675x-87894\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 70.24.0-5.a.2.1, 105.24.0.?, $\ldots$ |
$[]$ |
11025.a2 |
11025bp2 |
11025.a |
11025bp |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{11} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$79200$ |
$1.733881$ |
$20480/243$ |
$1.13104$ |
$4.73150$ |
$[0, 0, 1, 18375, 4233906]$ |
\(y^2+y=x^3+18375x+4233906\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 70.24.0-5.a.1.1, 105.24.0.?, $\ldots$ |
$[]$ |
11025.b1 |
11025be1 |
11025.b |
11025be |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$210$ |
$12$ |
$1$ |
$1.650953685$ |
$1$ |
|
$4$ |
$112896$ |
$1.910219$ |
$-110592/125$ |
$0.98030$ |
$4.99123$ |
$[0, 0, 1, -77175, 14180906]$ |
\(y^2+y=x^3-77175x+14180906\) |
3.3.0.a.1, 21.6.0.a.1, 30.6.0.c.1, 70.2.0.a.1, 210.12.1.? |
$[(-245, 4287)]$ |
11025.c1 |
11025bd1 |
11025.c |
11025bd |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$210$ |
$12$ |
$1$ |
$0.774820669$ |
$1$ |
|
$4$ |
$16128$ |
$0.937264$ |
$-110592/125$ |
$0.98030$ |
$3.73687$ |
$[0, 0, 1, -1575, -41344]$ |
\(y^2+y=x^3-1575x-41344\) |
3.3.0.a.1, 21.6.0.a.1, 30.6.0.c.1, 70.2.0.a.1, 210.12.1.? |
$[(70, 437)]$ |
11025.d1 |
11025bq2 |
11025.d |
11025bq |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$288000$ |
$2.381172$ |
$-2887553024/16807$ |
$0.98803$ |
$5.86014$ |
$[0, 0, 1, -1635375, 808997656]$ |
\(y^2+y=x^3-1635375x+808997656\) |
5.12.0.a.1, 30.24.0-5.a.1.1, 70.24.1.d.1, 105.24.0.?, 210.48.1.? |
$[]$ |
11025.d2 |
11025bq1 |
11025.d |
11025bq |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$210$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$1.576454$ |
$4096/7$ |
$0.98030$ |
$4.48427$ |
$[0, 0, 1, 18375, -1339844]$ |
\(y^2+y=x^3+18375x-1339844\) |
5.12.0.a.2, 30.24.0-5.a.2.1, 70.24.1.d.2, 105.24.0.?, 210.48.1.? |
$[]$ |
11025.e1 |
11025bf1 |
11025.e |
11025bf |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{13} \cdot 5^{10} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.964341940$ |
$1$ |
|
$2$ |
$903168$ |
$2.848751$ |
$-1376628736/1366875$ |
$1.03772$ |
$6.20433$ |
$[0, 0, 1, -3421425, 4014246906]$ |
\(y^2+y=x^3-3421425x+4014246906\) |
6.2.0.a.1 |
$[(995, 39937)]$ |
11025.f1 |
11025t1 |
11025.f |
11025t |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{13} \cdot 5^{10} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.875793$ |
$-1376628736/1366875$ |
$1.03772$ |
$4.94997$ |
$[0, 0, 1, -69825, -11703344]$ |
\(y^2+y=x^3-69825x-11703344\) |
6.2.0.a.1 |
$[]$ |
11025.g1 |
11025ba5 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$1680$ |
$192$ |
$1$ |
$7.203395932$ |
$1$ |
|
$0$ |
$196608$ |
$2.401184$ |
$53297461115137/147$ |
$1.05087$ |
$6.39570$ |
$[1, -1, 1, -8643830, -9779383078]$ |
\(y^2+xy+y=x^3-x^2-8643830x-9779383078\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(21435/2, 2479913/2)]$ |
11025.g2 |
11025ba3 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$840$ |
$192$ |
$1$ |
$3.601697966$ |
$1$ |
|
$6$ |
$98304$ |
$2.054611$ |
$13027640977/21609$ |
$1.08149$ |
$5.50221$ |
$[1, -1, 1, -540455, -152573578]$ |
\(y^2+xy+y=x^3-x^2-540455x-152573578\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(-431, 615)]$ |
11025.g3 |
11025ba4 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{14} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$1680$ |
$192$ |
$1$ |
$0.900424491$ |
$1$ |
|
$8$ |
$98304$ |
$2.054611$ |
$6570725617/45927$ |
$1.00160$ |
$5.42867$ |
$[1, -1, 1, -430205, 108057422]$ |
\(y^2+xy+y=x^3-x^2-430205x+108057422\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(534, 5245)]$ |
11025.g4 |
11025ba6 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{6} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$1680$ |
$192$ |
$1$ |
$7.203395932$ |
$1$ |
|
$0$ |
$196608$ |
$2.401184$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.60602$ |
$[1, -1, 1, -375080, -247829578]$ |
\(y^2+xy+y=x^3-x^2-375080x-247829578\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(4891/2, 262905/2)]$ |
11025.g5 |
11025ba2 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$840$ |
$192$ |
$1$ |
$1.800848983$ |
$1$ |
|
$12$ |
$49152$ |
$1.708038$ |
$7189057/3969$ |
$1.14862$ |
$4.69620$ |
$[1, -1, 1, -44330, -759328]$ |
\(y^2+xy+y=x^3-x^2-44330x-759328\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-26, 625)]$ |
11025.g6 |
11025ba1 |
11025.g |
11025ba |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{8} \cdot 5^{6} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$1680$ |
$192$ |
$1$ |
$3.601697966$ |
$1$ |
|
$5$ |
$24576$ |
$1.361465$ |
$103823/63$ |
$0.97868$ |
$4.24093$ |
$[1, -1, 1, 10795, -97828]$ |
\(y^2+xy+y=x^3-x^2+10795x-97828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(18, 310)]$ |
11025.h1 |
11025i2 |
11025.h |
11025i |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{9} \cdot 5^{12} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$420$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$2.599701$ |
$55306341/15625$ |
$1.04157$ |
$5.89667$ |
$[1, -1, 1, -1837730, 686460772]$ |
\(y^2+xy+y=x^3-x^2-1837730x+686460772\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 20.6.0.d.1, 21.6.0.a.1, $\ldots$ |
$[]$ |
11025.h2 |
11025i1 |
11025.h |
11025i |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{9} \cdot 5^{9} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$420$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$2.253124$ |
$2803221/125$ |
$0.98200$ |
$5.57628$ |
$[1, -1, 1, -680105, -207225728]$ |
\(y^2+xy+y=x^3-x^2-680105x-207225728\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.c.1, 20.6.0.d.1, $\ldots$ |
$[]$ |
11025.i1 |
11025h2 |
11025.i |
11025h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{9} \cdot 5^{12} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$420$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.626743$ |
$55306341/15625$ |
$1.04157$ |
$4.64231$ |
$[1, -1, 1, -37505, -1990628]$ |
\(y^2+xy+y=x^3-x^2-37505x-1990628\) |
2.3.0.a.1, 3.3.0.a.1, 6.18.0.c.1, 20.6.0.d.1, 21.6.0.a.1, $\ldots$ |
$[]$ |
11025.i2 |
11025h1 |
11025.i |
11025h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{9} \cdot 5^{9} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$420$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.280170$ |
$2803221/125$ |
$0.98200$ |
$4.32193$ |
$[1, -1, 1, -13880, 608122]$ |
\(y^2+xy+y=x^3-x^2-13880x+608122\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.c.1, 20.6.0.d.1, $\ldots$ |
$[]$ |
11025.j1 |
11025p2 |
11025.j |
11025p |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{9} \cdot 5^{9} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$1680$ |
$96$ |
$3$ |
$3.130573524$ |
$1$ |
|
$2$ |
$184320$ |
$2.360611$ |
$8869743/2401$ |
$0.92625$ |
$5.59159$ |
$[1, -1, 1, -713180, 169300072]$ |
\(y^2+xy+y=x^3-x^2-713180x+169300072\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.2, 56.24.0.dm.1, $\ldots$ |
$[(688, 1640)]$ |
11025.j2 |
11025p1 |
11025.j |
11025p |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$1680$ |
$96$ |
$3$ |
$6.261147048$ |
$1$ |
|
$3$ |
$92160$ |
$2.014038$ |
$35937/49$ |
$0.83942$ |
$5.03250$ |
$[1, -1, 1, 113695, 17155072]$ |
\(y^2+xy+y=x^3-x^2+113695x+17155072\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 28.12.0.n.1, 30.6.0.a.1, $\ldots$ |
$[(30244, 5244815)]$ |
11025.k1 |
11025bi1 |
11025.k |
11025bi |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{11} \cdot 5^{8} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.564323025$ |
$1$ |
|
$6$ |
$100800$ |
$2.061531$ |
$-46585/243$ |
$0.91462$ |
$5.16629$ |
$[1, -1, 1, -88430, 32051072]$ |
\(y^2+xy+y=x^3-x^2-88430x+32051072\) |
6.2.0.a.1 |
$[(-306, 5665)]$ |
11025.l1 |
11025bl2 |
11025.l |
11025bl |
$2$ |
$37$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.2 |
37B.8.2 |
$15540$ |
$2736$ |
$97$ |
$1$ |
$1$ |
|
$0$ |
$266400$ |
$2.624512$ |
$-162677523113838677$ |
$1.07344$ |
$6.94022$ |
$[1, -1, 1, -46818680, 123315617072]$ |
\(y^2+xy+y=x^3-x^2-46818680x+123315617072\) |
20.2.0.a.1, 37.114.4.b.2, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[]$ |
11025.l2 |
11025bl1 |
11025.l |
11025bl |
$2$ |
$37$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.1 |
37B.8.1 |
$15540$ |
$2736$ |
$97$ |
$1$ |
$1$ |
|
$0$ |
$7200$ |
$0.819051$ |
$-9317$ |
$0.80290$ |
$3.68269$ |
$[1, -1, 1, -1805, -31678]$ |
\(y^2+xy+y=x^3-x^2-1805x-31678\) |
20.2.0.a.1, 37.114.4.b.1, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[]$ |
11025.m1 |
11025bh2 |
11025.m |
11025bh |
$2$ |
$37$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.2 |
37B.8.2 |
$15540$ |
$2736$ |
$97$ |
$44.52429339$ |
$1$ |
|
$0$ |
$1864800$ |
$3.597466$ |
$-162677523113838677$ |
$1.07344$ |
$8.19457$ |
$[1, -1, 1, -2294115305, -42292668425178]$ |
\(y^2+xy+y=x^3-x^2-2294115305x-42292668425178\) |
20.2.0.a.1, 37.114.4.b.2, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[(2384852700409814870244/176896201, 82918454034960644811139849565990/176896201)]$ |
11025.m2 |
11025bh1 |
11025.m |
11025bh |
$2$ |
$37$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.1 |
37B.8.1 |
$15540$ |
$2736$ |
$97$ |
$1.203359281$ |
$1$ |
|
$4$ |
$50400$ |
$1.792006$ |
$-9317$ |
$0.80290$ |
$4.93705$ |
$[1, -1, 1, -88430, 11042322]$ |
\(y^2+xy+y=x^3-x^2-88430x+11042322\) |
20.2.0.a.1, 37.114.4.b.1, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[(-306, 3215)]$ |
11025.n1 |
11025bm1 |
11025.n |
11025bm |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{11} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14400$ |
$1.088575$ |
$-46585/243$ |
$0.91462$ |
$3.91194$ |
$[1, -1, 1, -1805, -92928]$ |
\(y^2+xy+y=x^3-x^2-1805x-92928\) |
6.2.0.a.1 |
$[]$ |
11025.o1 |
11025o2 |
11025.o |
11025o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$1680$ |
$96$ |
$3$ |
$1.159273789$ |
$1$ |
|
$6$ |
$12288$ |
$1.006588$ |
$8869743/2401$ |
$0.92625$ |
$3.84595$ |
$[1, -1, 1, -3170, -49318]$ |
\(y^2+xy+y=x^3-x^2-3170x-49318\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.2, 56.24.0.dm.1, $\ldots$ |
$[(-26, 135)]$ |
11025.o2 |
11025o1 |
11025.o |
11025o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$1680$ |
$96$ |
$3$ |
$2.318547578$ |
$1$ |
|
$5$ |
$6144$ |
$0.660014$ |
$35937/49$ |
$0.83942$ |
$3.28685$ |
$[1, -1, 1, 505, -5218]$ |
\(y^2+xy+y=x^3-x^2+505x-5218\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 28.12.0.n.1, 30.6.0.a.1, $\ldots$ |
$[(24, 130)]$ |
11025.p1 |
11025z7 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{10} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$10.47166569$ |
$1$ |
|
$0$ |
$294912$ |
$2.617851$ |
$1114544804970241/405$ |
$1.07354$ |
$6.72234$ |
$[1, -1, 1, -23814230, -44724460728]$ |
\(y^2+xy+y=x^3-x^2-23814230x-44724460728\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(696245/4, 575734917/4)]$ |
11025.p2 |
11025z5 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{14} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$1680$ |
$768$ |
$13$ |
$5.235832845$ |
$1$ |
|
$4$ |
$147456$ |
$2.271275$ |
$272223782641/164025$ |
$1.03897$ |
$5.82876$ |
$[1, -1, 1, -1488605, -698328228]$ |
\(y^2+xy+y=x^3-x^2-1488605x-698328228\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[(43409, 9018795)]$ |
11025.p3 |
11025z8 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{22} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$3360$ |
$768$ |
$13$ |
$2.617916422$ |
$1$ |
|
$4$ |
$294912$ |
$2.617851$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.89813$ |
$[1, -1, 1, -1212980, -965133228]$ |
\(y^2+xy+y=x^3-x^2-1212980x-965133228\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(1409, 10320)]$ |
11025.p4 |
11025z4 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{7} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$3360$ |
$768$ |
$13$ |
$0.654479105$ |
$1$ |
|
$10$ |
$73728$ |
$1.924702$ |
$56667352321/15$ |
$1.03019$ |
$5.66015$ |
$[1, -1, 1, -882230, 319169022]$ |
\(y^2+xy+y=x^3-x^2-882230x+319169022\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[(548, -54)]$ |
11025.p5 |
11025z3 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$1680$ |
$768$ |
$13$ |
$2.617916422$ |
$1$ |
|
$6$ |
$73728$ |
$1.924702$ |
$111284641/50625$ |
$1.02534$ |
$4.99052$ |
$[1, -1, 1, -110480, -6509478]$ |
\(y^2+xy+y=x^3-x^2-110480x-6509478\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[(-141, 2570)]$ |
11025.p6 |
11025z2 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$1680$ |
$768$ |
$13$ |
$1.308958211$ |
$1$ |
|
$12$ |
$36864$ |
$1.578129$ |
$13997521/225$ |
$0.96230$ |
$4.76778$ |
$[1, -1, 1, -55355, 4956522]$ |
\(y^2+xy+y=x^3-x^2-55355x+4956522\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[(170, 576)]$ |
11025.p7 |
11025z1 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{7} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$3360$ |
$768$ |
$13$ |
$2.617916422$ |
$1$ |
|
$5$ |
$18432$ |
$1.231556$ |
$-1/15$ |
$1.19808$ |
$4.09185$ |
$[1, -1, 1, -230, 215772]$ |
\(y^2+xy+y=x^3-x^2-230x+215772\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[(-12, 471)]$ |
11025.p8 |
11025z6 |
11025.p |
11025z |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{8} \cdot 5^{14} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$3360$ |
$768$ |
$13$ |
$5.235832845$ |
$1$ |
|
$0$ |
$147456$ |
$2.271275$ |
$4733169839/3515625$ |
$1.05585$ |
$5.39343$ |
$[1, -1, 1, 385645, -49176228]$ |
\(y^2+xy+y=x^3-x^2+385645x-49176228\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(2255/2, 146799/2)]$ |
11025.q1 |
11025bn1 |
11025.q |
11025bn |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 3^{9} \cdot 5^{9} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.935762$ |
$5177717/189$ |
$0.97949$ |
$5.17967$ |
$[1, -1, 1, -198680, 33043322]$ |
\(y^2+xy+y=x^3-x^2-198680x+33043322\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
11025.q2 |
11025bn2 |
11025.q |
11025bn |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{12} \cdot 5^{9} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$2.282337$ |
$300763/35721$ |
$1.11388$ |
$5.44541$ |
$[1, -1, 1, 76945, 117384572]$ |
\(y^2+xy+y=x^3-x^2+76945x+117384572\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
11025.r1 |
11025e1 |
11025.r |
11025e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$24192$ |
$1.379847$ |
$0$ |
|
$4.28305$ |
$[0, 0, 1, 0, -525219]$ |
\(y^2+y=x^3-525219\) |
|
$[]$ |
11025.r2 |
11025e2 |
11025.r |
11025e |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$7$ |
7.84.1.1 |
7Ns.6.1.2 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$72576$ |
$1.929153$ |
$0$ |
|
$4.99123$ |
$[0, 0, 1, 0, 14180906]$ |
\(y^2+y=x^3+14180906\) |
|
$[]$ |
11025.s1 |
11025l1 |
11025.s |
11025l |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$4.328220616$ |
$1$ |
|
$2$ |
$9360$ |
$0.999450$ |
$0$ |
|
$3.79263$ |
$[0, 0, 1, 0, -53594]$ |
\(y^2+y=x^3-53594\) |
|
$[(106, 1066)]$ |
11025.s2 |
11025l2 |
11025.s |
11025l |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$1.442740205$ |
$1$ |
|
$2$ |
$28080$ |
$1.548756$ |
$0$ |
|
$4.50081$ |
$[0, 0, 1, 0, 1447031]$ |
\(y^2+y=x^3+1447031\) |
|
$[(-75, 1012)]$ |
11025.t1 |
11025k1 |
11025.t |
11025k |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.330082426$ |
$1$ |
|
$2$ |
$1008$ |
$-0.185667$ |
$0$ |
|
$2.26475$ |
$[0, 0, 1, 0, -44]$ |
\(y^2+y=x^3-44\) |
|
$[(4, 4)]$ |
11025.t2 |
11025k2 |
11025.t |
11025k |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{4} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.443360808$ |
$1$ |
|
$4$ |
$3024$ |
$0.363639$ |
$0$ |
|
$2.97293$ |
$[0, 0, 1, 0, 1181]$ |
\(y^2+y=x^3+1181\) |
|
$[(15, 67)]$ |
11025.u1 |
11025a2 |
11025.u |
11025a |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$14.37639695$ |
$1$ |
|
$0$ |
$105840$ |
$2.141312$ |
$0$ |
|
$5.26475$ |
$[0, 0, 1, 0, -50646094]$ |
\(y^2+y=x^3-50646094\) |
|
$[(6472824/101, 14745093494/101)]$ |
11025.u2 |
11025a1 |
11025.u |
11025a |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{3} \cdot 5^{10} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.792132318$ |
$1$ |
|
$2$ |
$35280$ |
$1.592007$ |
$0$ |
|
$4.55657$ |
$[0, 0, 1, 0, 1875781]$ |
\(y^2+y=x^3+1875781\) |
|
$[(-101, 919)]$ |
11025.v1 |
11025u2 |
11025.v |
11025u |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{12} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$5.285430316$ |
$1$ |
|
$0$ |
$27648$ |
$1.453941$ |
$-19539165184/46875$ |
$1.11564$ |
$4.70996$ |
$[0, 0, 1, -46200, -3830094]$ |
\(y^2+y=x^3-46200x-3830094\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[(2465/2, 113621/2)]$ |
11025.v2 |
11025u1 |
11025.v |
11025u |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1.761810105$ |
$1$ |
|
$2$ |
$9216$ |
$0.904635$ |
$229376/675$ |
$1.26669$ |
$3.64105$ |
$[0, 0, 1, 1050, -26469]$ |
\(y^2+y=x^3+1050x-26469\) |
3.4.0.a.1, 6.8.0.b.1, 105.8.0.?, 210.16.0.? |
$[(65, 562)]$ |
11025.w1 |
11025q2 |
11025.w |
11025q |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{7} \cdot 5^{12} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$2.426895$ |
$-19539165184/46875$ |
$1.11564$ |
$5.96432$ |
$[0, 0, 1, -2263800, 1313722156]$ |
\(y^2+y=x^3-2263800x+1313722156\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[]$ |
11025.w2 |
11025q1 |
11025.w |
11025q |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.877590$ |
$229376/675$ |
$1.26669$ |
$4.89541$ |
$[0, 0, 1, 51450, 9078781]$ |
\(y^2+y=x^3+51450x+9078781\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[]$ |