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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
38025.a1 |
38025bu1 |
38025.a |
38025bu |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{7} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.395530578$ |
$1$ |
|
$18$ |
$387072$ |
$1.755915$ |
$-4096/195$ |
$[0, 0, 1, -12675, 5011906]$ |
\(y^2+y=x^3-12675x+5011906\) |
390.2.0.? |
$[(65, 2112), (715, 19012)]$ |
38025.b1 |
38025bt2 |
38025.b |
38025bt |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$561600$ |
$2.043400$ |
$-102400/3$ |
$[0, 0, 1, -316875, 70372656]$ |
\(y^2+y=x^3-316875x+70372656\) |
5.12.0.a.2, 6.2.0.a.1, 30.24.1.d.2, 130.24.0.?, 195.24.0.?, $\ldots$ |
$[]$ |
38025.b2 |
38025bt1 |
38025.b |
38025bt |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{11} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$112320$ |
$1.238682$ |
$20480/243$ |
$[0, 0, 1, 2535, -216954]$ |
\(y^2+y=x^3+2535x-216954\) |
5.12.0.a.1, 6.2.0.a.1, 30.24.1.d.1, 130.24.0.?, 195.24.0.?, $\ldots$ |
$[]$ |
38025.c1 |
38025cd2 |
38025.c |
38025cd |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.6.0.1 |
5B |
$390$ |
$48$ |
$1$ |
$2.822117959$ |
$1$ |
|
$2$ |
$129600$ |
$1.351152$ |
$102400$ |
$[0, 0, 1, -24375, -1452344]$ |
\(y^2+y=x^3-24375x-1452344\) |
5.6.0.a.1, 10.12.0.a.2, 26.2.0.a.1, 65.12.0.a.1, 130.24.1.?, $\ldots$ |
$[(-91, 110)]$ |
38025.c2 |
38025cd1 |
38025.c |
38025cd |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.6.0.1 |
5B |
$390$ |
$48$ |
$1$ |
$0.564423591$ |
$1$ |
|
$4$ |
$25920$ |
$0.546434$ |
$27258880$ |
$[0, 0, 1, -2145, 38236]$ |
\(y^2+y=x^3-2145x+38236\) |
5.6.0.a.1, 10.12.0.a.1, 26.2.0.a.1, 65.12.0.a.2, 130.24.1.?, $\ldots$ |
$[(26, 6)]$ |
38025.d1 |
38025da2 |
38025.d |
38025da |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.6.0.1 |
5B |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1684800$ |
$2.633629$ |
$27258880$ |
$[0, 0, 1, -9062625, 10500630156]$ |
\(y^2+y=x^3-9062625x+10500630156\) |
5.6.0.a.1, 10.12.0.a.1, 26.2.0.a.1, 65.12.0.a.2, 130.24.1.?, $\ldots$ |
$[]$ |
38025.d2 |
38025da1 |
38025.d |
38025da |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.6.0.1 |
5B |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$336960$ |
$1.828909$ |
$102400$ |
$[0, 0, 1, -164775, -25526394]$ |
\(y^2+y=x^3-164775x-25526394\) |
5.6.0.a.1, 10.12.0.a.2, 26.2.0.a.1, 65.12.0.a.1, 130.24.1.?, $\ldots$ |
$[]$ |
38025.e1 |
38025bq1 |
38025.e |
38025bq |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{13} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2709504$ |
$2.761353$ |
$-32278933504/27421875$ |
$[0, 0, 1, -2522325, 2422261156]$ |
\(y^2+y=x^3-2522325x+2422261156\) |
390.2.0.? |
$[]$ |
38025.f1 |
38025bp1 |
38025.f |
38025bp |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{11} \cdot 5^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.132084196$ |
$1$ |
|
$12$ |
$17280$ |
$0.390103$ |
$266240/243$ |
$[0, 0, 1, 195, 796]$ |
\(y^2+y=x^3+195x+796\) |
6.2.0.a.1 |
$[(4, 40), (166, 2146)]$ |
38025.g1 |
38025cq1 |
38025.g |
38025cq |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{11} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.412902891$ |
$1$ |
|
$2$ |
$1123200$ |
$2.477295$ |
$266240/243$ |
$[0, 0, 1, 823875, 218670156]$ |
\(y^2+y=x^3+823875x+218670156\) |
6.2.0.a.1 |
$[(0, 14787)]$ |
38025.h1 |
38025br2 |
38025.h |
38025br |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2116800$ |
$2.713692$ |
$23242854400/13$ |
$[0, 0, 1, -19329375, 32709553906]$ |
\(y^2+y=x^3-19329375x+32709553906\) |
5.12.0.a.2, 26.2.0.a.1, 30.24.0-5.a.2.1, 130.24.1.?, 195.24.0.?, $\ldots$ |
$[]$ |
38025.h2 |
38025br1 |
38025.h |
38025br |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$390$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$423360$ |
$1.908972$ |
$4206161920/371293$ |
$[0, 0, 1, -149565, -20495264]$ |
\(y^2+y=x^3-149565x-20495264\) |
5.12.0.a.1, 26.2.0.a.1, 30.24.0-5.a.1.1, 130.24.1.?, 195.24.0.?, $\ldots$ |
$[]$ |
38025.i1 |
38025dc1 |
38025.i |
38025dc |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$778752$ |
$2.133286$ |
$-99897344/27$ |
$[0, 0, 1, -955695, -359690094]$ |
\(y^2+y=x^3-955695x-359690094\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.2, 30.72.1.o.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
38025.i2 |
38025dc2 |
38025.i |
38025dc |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{21} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$3893760$ |
$2.938004$ |
$24288219136/14348907$ |
$[0, 0, 1, 5964855, 809882856]$ |
\(y^2+y=x^3+5964855x+809882856\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$ |
$[]$ |
38025.j1 |
38025bs1 |
38025.j |
38025bs |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 5^{7} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2709504$ |
$2.829067$ |
$-762549907456/24024195$ |
$[0, 0, 1, -7237425, -7695473094]$ |
\(y^2+y=x^3-7237425x-7695473094\) |
390.2.0.? |
$[]$ |
38025.k1 |
38025db1 |
38025.k |
38025db |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$299520$ |
$1.655529$ |
$-99897344/27$ |
$[0, 0, 1, -141375, -20464844]$ |
\(y^2+y=x^3-141375x-20464844\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.2, 30.72.1.o.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
38025.k2 |
38025db2 |
38025.k |
38025db |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{21} \cdot 5^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.3.0.1, 5.6.0.1 |
3Nn, 5B |
$390$ |
$288$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1497600$ |
$2.460247$ |
$24288219136/14348907$ |
$[0, 0, 1, 882375, 46078906]$ |
\(y^2+y=x^3+882375x+46078906\) |
3.3.0.a.1, 5.6.0.a.1, 15.36.0.a.1, 30.72.1.o.2, 39.6.0.b.1, $\ldots$ |
$[]$ |
38025.l1 |
38025bv1 |
38025.l |
38025bv |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.095325$ |
$-18264064/675$ |
$[0, 0, 1, -6825, -223844]$ |
\(y^2+y=x^3-6825x-223844\) |
6.2.0.a.1 |
$[]$ |
38025.m1 |
38025q2 |
38025.m |
38025q |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{10} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$718848$ |
$2.297844$ |
$12326391/625$ |
$[1, -1, 1, -792980, 259813272]$ |
\(y^2+xy+y=x^3-x^2-792980x+259813272\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.cb.1, 104.12.0.?, $\ldots$ |
$[]$ |
38025.m2 |
38025q1 |
38025.m |
38025q |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$359424$ |
$1.951271$ |
$729/25$ |
$[1, -1, 1, 30895, 15946272]$ |
\(y^2+xy+y=x^3-x^2+30895x+15946272\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bq.1, 40.12.0.cb.1, 60.12.0.bn.1, $\ldots$ |
$[]$ |
38025.n1 |
38025bm4 |
38025.n |
38025bm |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{10} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$688128$ |
$2.318134$ |
$37159393753/1053$ |
$[1, -1, 1, -2643530, 1654958972]$ |
\(y^2+xy+y=x^3-x^2-2643530x+1654958972\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 40.12.0-4.c.1.3, $\ldots$ |
$[]$ |
38025.n2 |
38025bm3 |
38025.n |
38025bm |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{7} \cdot 5^{6} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$688128$ |
$2.318134$ |
$822656953/85683$ |
$[1, -1, 1, -742280, -222715528]$ |
\(y^2+xy+y=x^3-x^2-742280x-222715528\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 40.12.0-4.c.1.3, 104.12.0.?, $\ldots$ |
$[]$ |
38025.n3 |
38025bm2 |
38025.n |
38025bm |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$344064$ |
$1.971560$ |
$10218313/1521$ |
$[1, -1, 1, -171905, 23686472]$ |
\(y^2+xy+y=x^3-x^2-171905x+23686472\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.2, 52.12.0.b.1, 60.24.0-12.a.1.4, $\ldots$ |
$[]$ |
38025.n4 |
38025bm1 |
38025.n |
38025bm |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.624987$ |
$12167/39$ |
$[1, -1, 1, 18220, 2012222]$ |
\(y^2+xy+y=x^3-x^2+18220x+2012222\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.3, 60.12.0-4.c.1.2, $\ldots$ |
$[]$ |
38025.o1 |
38025cl1 |
38025.o |
38025cl |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$10.32369971$ |
$1$ |
|
$2$ |
$314496$ |
$2.014698$ |
$-4225/3$ |
$[1, -1, 1, -133880, -28103578]$ |
\(y^2+xy+y=x^3-x^2-133880x-28103578\) |
6.2.0.a.1 |
$[(91110, 27455146)]$ |
38025.p1 |
38025ck1 |
38025.p |
38025ck |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$3.097613246$ |
$1$ |
|
$2$ |
$967680$ |
$2.491802$ |
$-417267265/19773$ |
$[1, -1, 1, -1730930, 912144822]$ |
\(y^2+xy+y=x^3-x^2-1730930x+912144822\) |
52.2.0.a.1 |
$[(920, 9426)]$ |
38025.q1 |
38025bk1 |
38025.q |
38025bk |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.536943$ |
$-4225/3$ |
$[1, -1, 1, -19805, -1595928]$ |
\(y^2+xy+y=x^3-x^2-19805x-1595928\) |
6.2.0.a.1 |
$[]$ |
38025.r1 |
38025x1 |
38025.r |
38025x |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{8} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$0.766911643$ |
$1$ |
|
$12$ |
$14400$ |
$0.464921$ |
$1755$ |
$[1, -1, 1, -305, -178]$ |
\(y^2+xy+y=x^3-x^2-305x-178\) |
12.2.0.a.1 |
$[(-6, 40), (219, 3115)]$ |
38025.s1 |
38025m1 |
38025.s |
38025m |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$0.691623787$ |
$1$ |
|
$4$ |
$37440$ |
$0.942677$ |
$1755$ |
$[1, -1, 1, -2060, -3948]$ |
\(y^2+xy+y=x^3-x^2-2060x-3948\) |
12.2.0.a.1 |
$[(-42, 105)]$ |
38025.t1 |
38025cv2 |
38025.t |
38025cv |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
16.24.0.22, 3.3.0.1 |
2B, 3Nn |
$3120$ |
$1152$ |
$41$ |
$1$ |
$1$ |
|
$0$ |
$239616$ |
$1.937584$ |
$16974593$ |
$[1, -1, 1, -529340, 148359462]$ |
\(y^2+xy+y=x^3-x^2-529340x+148359462\) |
2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$ |
$[]$ |
38025.t2 |
38025cv1 |
38025.t |
38025cv |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
16.24.0.21, 3.3.0.1 |
2B, 3Nn |
$3120$ |
$1152$ |
$41$ |
$1$ |
$1$ |
|
$1$ |
$119808$ |
$1.591011$ |
$4913$ |
$[1, -1, 1, -35015, 2039262]$ |
\(y^2+xy+y=x^3-x^2-35015x+2039262\) |
2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$ |
$[]$ |
38025.u1 |
38025cu2 |
38025.u |
38025cu |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
16.24.0.22, 3.3.0.1 |
2B, 3Nn |
$3120$ |
$1152$ |
$41$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.459827$ |
$16974593$ |
$[1, -1, 1, -78305, 8453072]$ |
\(y^2+xy+y=x^3-x^2-78305x+8453072\) |
2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$ |
$[]$ |
38025.u2 |
38025cu1 |
38025.u |
38025cu |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
16.24.0.21, 3.3.0.1 |
2B, 3Nn |
$3120$ |
$1152$ |
$41$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.113255$ |
$4913$ |
$[1, -1, 1, -5180, 116822]$ |
\(y^2+xy+y=x^3-x^2-5180x+116822\) |
2.3.0.a.1, 3.3.0.a.1, 4.6.0.d.1, 6.9.0.a.1, 8.12.0.w.1, $\ldots$ |
$[]$ |
38025.v1 |
38025cj1 |
38025.v |
38025cj |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{12} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.712947918$ |
$1$ |
|
$2$ |
$193536$ |
$1.811323$ |
$304175/9477$ |
$[1, -1, 1, 18220, -6885628]$ |
\(y^2+xy+y=x^3-x^2+18220x-6885628\) |
52.2.0.a.1 |
$[(504, 11155)]$ |
38025.w1 |
38025bj2 |
38025.w |
38025bj |
$2$ |
$7$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{20} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$10920$ |
$192$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$188160$ |
$1.744394$ |
$-276301129/4782969$ |
$[1, -1, 1, -16880, 4697372]$ |
\(y^2+xy+y=x^3-x^2-16880x+4697372\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.24.0.?, 168.32.0.?, $\ldots$ |
$[]$ |
38025.w2 |
38025bj1 |
38025.w |
38025bj |
$2$ |
$7$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$10920$ |
$192$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$0.771439$ |
$-658489/9$ |
$[1, -1, 1, -2255, -41128]$ |
\(y^2+xy+y=x^3-x^2-2255x-41128\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.24.0.?, 168.32.0.?, $\ldots$ |
$[]$ |
38025.x1 |
38025w1 |
38025.x |
38025w |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$561600$ |
$2.296703$ |
$1755$ |
$[1, -1, 1, -463430, 15177322]$ |
\(y^2+xy+y=x^3-x^2-463430x+15177322\) |
12.2.0.a.1 |
$[]$ |
38025.y1 |
38025ca2 |
38025.y |
38025ca |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{12} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$5.058348614$ |
$1$ |
|
$2$ |
$221184$ |
$1.865540$ |
$258840217117/18225$ |
$[1, -1, 1, -388355, -93048978]$ |
\(y^2+xy+y=x^3-x^2-388355x-93048978\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(2093, 89835)]$ |
38025.y2 |
38025ca1 |
38025.y |
38025ca |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.529174307$ |
$1$ |
|
$5$ |
$110592$ |
$1.518967$ |
$-51895117/16875$ |
$[1, -1, 1, -22730, -1642728]$ |
\(y^2+xy+y=x^3-x^2-22730x-1642728\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(218, 1821)]$ |
38025.z1 |
38025k1 |
38025.z |
38025k |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$12$ |
$2$ |
$0$ |
$1.177800862$ |
$1$ |
|
$2$ |
$8640$ |
$0.209508$ |
$1755$ |
$[1, -1, 1, -110, 82]$ |
\(y^2+xy+y=x^3-x^2-110x+82\) |
12.2.0.a.1 |
$[(13, 20)]$ |
38025.ba1 |
38025l2 |
38025.ba |
38025l |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$4.906263619$ |
$1$ |
|
$2$ |
$1548288$ |
$2.739277$ |
$260549802603/4225$ |
$[1, -1, 1, -15179105, 22765839022]$ |
\(y^2+xy+y=x^3-x^2-15179105x+22765839022\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(7355, 552163)]$ |
38025.ba2 |
38025l1 |
38025.ba |
38025l |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.453131809$ |
$1$ |
|
$5$ |
$774144$ |
$2.392704$ |
$-57960603/8125$ |
$[1, -1, 1, -919730, 378620272]$ |
\(y^2+xy+y=x^3-x^2-919730x+378620272\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-770, 25481)]$ |
38025.bb1 |
38025bl1 |
38025.bb |
38025bl |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{15} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$943488$ |
$2.358856$ |
$117161545345/19683$ |
$[1, -1, 1, -2506640, 1527921672]$ |
\(y^2+xy+y=x^3-x^2-2506640x+1527921672\) |
12.2.0.a.1 |
$[]$ |
38025.bc1 |
38025p2 |
38025.bc |
38025p |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{9} \cdot 5^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$1.564676$ |
$12326391/625$ |
$[1, -1, 1, -42230, -3179978]$ |
\(y^2+xy+y=x^3-x^2-42230x-3179978\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.cb.1, 104.12.0.?, $\ldots$ |
$[]$ |
38025.bc2 |
38025p1 |
38025.bc |
38025p |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$1.218102$ |
$729/25$ |
$[1, -1, 1, 1645, -196478]$ |
\(y^2+xy+y=x^3-x^2+1645x-196478\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bq.1, 40.12.0.cb.1, 60.12.0.bn.1, $\ldots$ |
$[]$ |
38025.bd1 |
38025cm1 |
38025.bd |
38025cm |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( 3^{15} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.797202026$ |
$1$ |
|
$2$ |
$362880$ |
$1.881100$ |
$117161545345/19683$ |
$[1, -1, 1, -370805, 86989322]$ |
\(y^2+xy+y=x^3-x^2-370805x+86989322\) |
12.2.0.a.1 |
$[(819, 17815)]$ |
38025.be1 |
38025cw1 |
38025.be |
38025cw |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$673920$ |
$2.235405$ |
$1715$ |
$[1, -1, 1, 360445, -7341928]$ |
\(y^2+xy+y=x^3-x^2+360445x-7341928\) |
52.2.0.a.1 |
$[]$ |
38025.bf1 |
38025cb1 |
38025.bf |
38025cb |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$52$ |
$2$ |
$0$ |
$0.948066998$ |
$1$ |
|
$2$ |
$10368$ |
$0.148211$ |
$1715$ |
$[1, -1, 1, 85, -48]$ |
\(y^2+xy+y=x^3-x^2+85x-48\) |
52.2.0.a.1 |
$[(23, 105)]$ |
38025.bg1 |
38025t2 |
38025.bg |
38025t |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$246240$ |
$1.858274$ |
$0$ |
$[0, 0, 1, 0, -9268594]$ |
\(y^2+y=x^3-9268594\) |
|
$[]$ |
38025.bg2 |
38025t1 |
38025.bg |
38025t |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$5$ |
5.30.0.2 |
5Ns.2.1 |
|
|
|
$1$ |
$1$ |
|
$0$ |
$82080$ |
$1.308969$ |
$0$ |
$[0, 0, 1, 0, 343281]$ |
\(y^2+y=x^3+343281\) |
|
$[]$ |