| 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 |
| 273273.a1 |
273273a1 |
273273.a |
273273a |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3 \cdot 7^{8} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11767392$ |
$2.194454$ |
$-372736/363$ |
$0.93663$ |
$3.98638$ |
$[0, -1, 1, -251190, -79285438]$ |
\(y^2+y=x^3-x^2-251190x-79285438\) |
6.2.0.a.1 |
$[ ]$ |
| 273273.b1 |
273273b1 |
273273.b |
273273b |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 7^{7} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6006$ |
$2$ |
$0$ |
$1.197570338$ |
$1$ |
|
$4$ |
$5870592$ |
$2.263077$ |
$-105154048000/2189187$ |
$0.84969$ |
$4.19222$ |
$[0, -1, 1, -814298, 288142532]$ |
\(y^2+y=x^3-x^2-814298x+288142532\) |
6006.2.0.? |
$[(607, 4140)]$ |
| 273273.c1 |
273273c1 |
273273.c |
273273c |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{9} \cdot 11^{4} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.500947820$ |
$1$ |
|
$4$ |
$2985984$ |
$1.763559$ |
$-1593413632/45196767$ |
$0.94422$ |
$3.55256$ |
$[0, 1, 1, -15500, -5258158]$ |
\(y^2+y=x^3+x^2-15500x-5258158\) |
182.2.0.? |
$[(1759, 73573)]$ |
| 273273.d1 |
273273d1 |
273273.d |
273273d |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3 \cdot 7^{2} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1681056$ |
$1.221498$ |
$-372736/363$ |
$0.93663$ |
$3.05370$ |
$[0, 1, 1, -5126, 229688]$ |
\(y^2+y=x^3+x^2-5126x+229688\) |
6.2.0.a.1 |
$[ ]$ |
| 273273.e1 |
273273e1 |
273273.e |
273273e |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{13} \cdot 7^{7} \cdot 11^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$3.318327577$ |
$1$ |
|
$5$ |
$36301824$ |
$3.304821$ |
$1382084250541230782125/19771083137421$ |
$1.07178$ |
$5.43593$ |
$[1, 1, 1, -147823348, 691701355652]$ |
\(y^2+xy+y=x^3+x^2-147823348x+691701355652\) |
2.3.0.a.1, 546.6.0.?, 572.6.0.?, 924.6.0.?, 12012.12.0.? |
$[(7090, 6328)]$ |
| 273273.e2 |
273273e2 |
273273.e |
273273e |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{26} \cdot 7^{8} \cdot 11^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$6.636655154$ |
$1$ |
|
$2$ |
$72603648$ |
$3.651394$ |
$-1266556547153680328125/165777947457789051$ |
$1.11307$ |
$5.44524$ |
$[1, 1, 1, -143584113, 733244162958]$ |
\(y^2+xy+y=x^3+x^2-143584113x+733244162958\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[(-2227, 1021881)]$ |
| 273273.f1 |
273273f2 |
273273.f |
273273f |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{16} \cdot 7^{3} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$2.035889048$ |
$1$ |
|
$4$ |
$5529600$ |
$2.334282$ |
$14553591673375/5208653241$ |
$1.01238$ |
$4.11690$ |
$[1, 1, 1, -601728, 110725194]$ |
\(y^2+xy+y=x^3+x^2-601728x+110725194\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[(-99, 13062)]$ |
| 273273.f2 |
273273f1 |
273273.f |
273273f |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{8} \cdot 7^{3} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$1.017944524$ |
$1$ |
|
$7$ |
$2764800$ |
$1.987707$ |
$98931640625/96059601$ |
$1.13077$ |
$3.71819$ |
$[1, 1, 1, 113987, 12242810]$ |
\(y^2+xy+y=x^3+x^2+113987x+12242810\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[(-22, 3129)]$ |
| 273273.g1 |
273273g2 |
273273.g |
273273g |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3 \cdot 7^{7} \cdot 11^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15814656$ |
$3.039452$ |
$66184391125/37202781$ |
$0.94359$ |
$4.76711$ |
$[1, 1, 1, -9072008, 1777252784]$ |
\(y^2+xy+y=x^3+x^2-9072008x+1777252784\) |
2.3.0.a.1, 546.6.0.?, 572.6.0.?, 924.6.0.?, 12012.12.0.? |
$[ ]$ |
| 273273.g2 |
273273g1 |
273273.g |
273273g |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{8} \cdot 11^{3} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7907328$ |
$2.692879$ |
$985074875/586971$ |
$0.90494$ |
$4.43100$ |
$[1, 1, 1, 2231557, 221882240]$ |
\(y^2+xy+y=x^3+x^2+2231557x+221882240\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[ ]$ |
| 273273.h1 |
273273h1 |
273273.h |
273273h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3 \cdot 7^{9} \cdot 11^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$5.367020653$ |
$1$ |
|
$1$ |
$9483264$ |
$2.743282$ |
$263991523375/797511$ |
$0.88726$ |
$4.72927$ |
$[1, 1, 1, -7747048, 8274591632]$ |
\(y^2+xy+y=x^3+x^2-7747048x+8274591632\) |
2.3.0.a.1, 308.6.0.?, 546.6.0.?, 1716.6.0.?, 12012.12.0.? |
$[(58108/7, 9233664/7)]$ |
| 273273.h2 |
273273h2 |
273273.h |
273273h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{9} \cdot 11 \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$10.73404130$ |
$1$ |
|
$0$ |
$18966528$ |
$3.089855$ |
$-53796109375/477854091$ |
$0.97855$ |
$4.82541$ |
$[1, 1, 1, -4558863, 15147043218]$ |
\(y^2+xy+y=x^3+x^2-4558863x+15147043218\) |
2.3.0.a.1, 308.6.0.?, 1092.6.0.?, 1716.6.0.?, 12012.12.0.? |
$[(4305559/71, 38853141901/71)]$ |
| 273273.i1 |
273273i1 |
273273.i |
273273i |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3 \cdot 7^{4} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$0.988295$ |
$-765625/33$ |
$0.93577$ |
$2.93920$ |
$[1, 1, 1, -4313, -114808]$ |
\(y^2+xy+y=x^3+x^2-4313x-114808\) |
132.2.0.? |
$[ ]$ |
| 273273.j1 |
273273j1 |
273273.j |
273273j |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3 \cdot 7^{10} \cdot 11^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$858$ |
$2$ |
$0$ |
$43.44209660$ |
$1$ |
|
$0$ |
$30506112$ |
$3.125618$ |
$2082918901/3993$ |
$0.89404$ |
$5.11260$ |
$[1, 1, 1, -38353624, -91287904492]$ |
\(y^2+xy+y=x^3+x^2-38353624x-91287904492\) |
858.2.0.? |
$[(-793016060784046176188/463432297, 395650744929046272590011858911/463432297)]$ |
| 273273.k1 |
273273k1 |
273273.k |
273273k |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{8} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$264$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5511168$ |
$2.278400$ |
$74559407/53361$ |
$0.82495$ |
$4.01991$ |
$[1, 1, 1, 401456, -47465566]$ |
\(y^2+xy+y=x^3+x^2+401456x-47465566\) |
4.2.0.a.1, 264.4.0.? |
$[ ]$ |
| 273273.l1 |
273273l1 |
273273.l |
273273l |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3 \cdot 7^{9} \cdot 11^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1244160$ |
$1.307903$ |
$620650477/124509$ |
$0.84089$ |
$3.16471$ |
$[1, 0, 0, -11320, -375649]$ |
\(y^2+xy=x^3-11320x-375649\) |
2.3.0.a.1, 546.6.0.?, 572.6.0.?, 924.6.0.?, 12012.12.0.? |
$[ ]$ |
| 273273.l2 |
273273l2 |
273273.l |
273273l |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{12} \cdot 11 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2488320$ |
$1.654476$ |
$5706550403/11647251$ |
$0.89185$ |
$3.41599$ |
$[1, 0, 0, 23715, -2232504]$ |
\(y^2+xy=x^3+23715x-2232504\) |
2.3.0.a.1, 286.6.0.?, 924.6.0.?, 1092.6.0.?, 12012.12.0.? |
$[ ]$ |
| 273273.m1 |
273273m1 |
273273.m |
273273m |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3 \cdot 7^{4} \cdot 11^{3} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$858$ |
$2$ |
$0$ |
$1.904427092$ |
$1$ |
|
$2$ |
$4358016$ |
$2.152664$ |
$2082918901/3993$ |
$0.89404$ |
$4.17992$ |
$[1, 0, 0, -782727, 266033676]$ |
\(y^2+xy=x^3-782727x+266033676\) |
858.2.0.? |
$[(-493, 23315)]$ |
| 273273.n1 |
273273n4 |
273273.n |
273273n |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{6} \cdot 11^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$2.384231859$ |
$1$ |
|
$4$ |
$3981312$ |
$2.242798$ |
$347873904937/395307$ |
$1.00913$ |
$4.28497$ |
$[1, 0, 0, -1213339, -514019962]$ |
\(y^2+xy=x^3-1213339x-514019962\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 264.24.0.?, $\ldots$ |
$[(-622, 674)]$ |
| 273273.n2 |
273273n2 |
273273.n |
273273n |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{6} \cdot 11^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12012$ |
$48$ |
$0$ |
$1.192115929$ |
$1$ |
|
$12$ |
$1990656$ |
$1.896225$ |
$169112377/88209$ |
$1.00669$ |
$3.67554$ |
$[1, 0, 0, -95404, -3570841]$ |
\(y^2+xy=x^3-95404x-3570841\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 132.24.0.?, 364.12.0.?, $\ldots$ |
$[(599, 12122)]$ |
| 273273.n3 |
273273n1 |
273273.n |
273273n |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{6} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$2.384231859$ |
$1$ |
|
$5$ |
$995328$ |
$1.549650$ |
$30664297/297$ |
$1.09706$ |
$3.53914$ |
$[1, 0, 0, -53999, 4784688]$ |
\(y^2+xy=x^3-53999x+4784688\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[(193, 1153)]$ |
| 273273.n4 |
273273n3 |
273273.n |
273273n |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{12} \cdot 7^{6} \cdot 11 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$2.384231859$ |
$1$ |
|
$4$ |
$3981312$ |
$2.242798$ |
$9090072503/5845851$ |
$1.03763$ |
$3.99382$ |
$[1, 0, 0, 360051, -27709956]$ |
\(y^2+xy=x^3+360051x-27709956\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[(456, 14982)]$ |
| 273273.o1 |
273273o3 |
273273.o |
273273o |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{7} \cdot 11 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27869184$ |
$3.095135$ |
$150902699857302457/59378319$ |
$0.94941$ |
$5.32189$ |
$[1, 0, 0, -91848884, 338804352249]$ |
\(y^2+xy=x^3-91848884x+338804352249\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 156.12.0.?, 264.12.0.?, $\ldots$ |
$[ ]$ |
| 273273.o2 |
273273o2 |
273273.o |
273273o |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{8} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12012$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$13934592$ |
$2.748562$ |
$37370253593737/730458729$ |
$0.89994$ |
$4.65857$ |
$[1, 0, 0, -5767889, 5240496624]$ |
\(y^2+xy=x^3-5767889x+5240496624\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 132.12.0.?, 156.12.0.?, 572.12.0.?, $\ldots$ |
$[ ]$ |
| 273273.o3 |
273273o1 |
273273.o |
273273o |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{7} \cdot 11^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6967296$ |
$2.401989$ |
$84778086457/35972937$ |
$0.86742$ |
$4.17219$ |
$[1, 0, 0, -757884, -131230737]$ |
\(y^2+xy=x^3-757884x-131230737\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 156.12.0.?, 264.12.0.?, $\ldots$ |
$[ ]$ |
| 273273.o4 |
273273o4 |
273273.o |
273273o |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{12} \cdot 7^{10} \cdot 11 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24024$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27869184$ |
$3.095135$ |
$697864103/182466547263$ |
$1.03741$ |
$4.82894$ |
$[1, 0, 0, 153026, 15487232123]$ |
\(y^2+xy=x^3+153026x+15487232123\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 264.12.0.?, 286.6.0.?, $\ldots$ |
$[ ]$ |
| 273273.p1 |
273273p1 |
273273.p |
273273p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3 \cdot 7^{10} \cdot 11 \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$1.961250$ |
$-765625/33$ |
$0.93577$ |
$3.87188$ |
$[1, 0, 0, -211338, 38745069]$ |
\(y^2+xy=x^3-211338x+38745069\) |
132.2.0.? |
$[ ]$ |
| 273273.q1 |
273273q1 |
273273.q |
273273q |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3 \cdot 7^{3} \cdot 11^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1354752$ |
$1.770327$ |
$263991523375/797511$ |
$0.88726$ |
$3.79659$ |
$[1, 0, 0, -158103, -24146760]$ |
\(y^2+xy=x^3-158103x-24146760\) |
2.3.0.a.1, 308.6.0.?, 546.6.0.?, 1716.6.0.?, 12012.12.0.? |
$[ ]$ |
| 273273.q2 |
273273q2 |
273273.q |
273273q |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{3} \cdot 11 \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12012$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2709504$ |
$2.116901$ |
$-53796109375/477854091$ |
$0.97855$ |
$3.89273$ |
$[1, 0, 0, -93038, -44173767]$ |
\(y^2+xy=x^3-93038x-44173767\) |
2.3.0.a.1, 308.6.0.?, 1092.6.0.?, 1716.6.0.?, 12012.12.0.? |
$[ ]$ |
| 273273.r1 |
273273r2 |
273273.r |
273273r |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{5} \cdot 7^{8} \cdot 11^{2} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92897280$ |
$3.706493$ |
$27653883672870015625/6954210586323$ |
$1.00834$ |
$5.73815$ |
$[1, 0, 0, -521707313, -4585621837434]$ |
\(y^2+xy=x^3-521707313x-4585621837434\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[ ]$ |
| 273273.r2 |
273273r1 |
273273.r |
273273r |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{10} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46448640$ |
$3.359921$ |
$-4602875775513625/3426316276383$ |
$0.94189$ |
$5.10915$ |
$[1, 0, 0, -28697978, -89475304101]$ |
\(y^2+xy=x^3-28697978x-89475304101\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[ ]$ |
| 273273.s1 |
273273s2 |
273273.s |
273273s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{16} \cdot 7^{9} \cdot 11^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$38707200$ |
$3.307236$ |
$14553591673375/5208653241$ |
$1.01238$ |
$5.04958$ |
$[1, 0, 0, -29484673, -38067195622]$ |
\(y^2+xy=x^3-29484673x-38067195622\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 28.12.0.l.1, 56.24.0.cb.1, $\ldots$ |
$[ ]$ |
| 273273.s2 |
273273s1 |
273273.s |
273273s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{8} \cdot 7^{9} \cdot 11^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$616$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19353600$ |
$2.960663$ |
$98931640625/96059601$ |
$1.13077$ |
$4.65087$ |
$[1, 0, 0, 5585362, -4182527805]$ |
\(y^2+xy=x^3+5585362x-4182527805\) |
2.3.0.a.1, 4.12.0.f.1, 14.6.0.b.1, 28.24.0.g.1, 88.24.0.?, $\ldots$ |
$[ ]$ |
| 273273.t1 |
273273t4 |
273273.t |
273273t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{7} \cdot 11 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8008$ |
$48$ |
$0$ |
$11.87466013$ |
$1$ |
|
$0$ |
$14450688$ |
$2.874084$ |
$5599640476399033/19792773$ |
$0.93173$ |
$5.05875$ |
$[1, 0, 0, -30635732, -65268881133]$ |
\(y^2+xy=x^3-30635732x-65268881133\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[(-2689154/29, 48917003/29)]$ |
| 273273.t2 |
273273t3 |
273273.t |
273273t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 11^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8008$ |
$48$ |
$0$ |
$2.968665032$ |
$1$ |
|
$4$ |
$14450688$ |
$2.874084$ |
$36254831403673/8741423691$ |
$0.99973$ |
$4.65615$ |
$[1, 0, 0, -5709922, 4010610785]$ |
\(y^2+xy=x^3-5709922x+4010610785\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 52.12.0-4.c.1.2, 88.12.0.?, $\ldots$ |
$[(755, 11030)]$ |
| 273273.t3 |
273273t2 |
273273.t |
273273t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 11^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4004$ |
$48$ |
$0$ |
$5.937330065$ |
$1$ |
|
$4$ |
$7225344$ |
$2.527512$ |
$1426487591593/81162081$ |
$0.97337$ |
$4.39770$ |
$[1, 0, 0, -1942067, -989332800]$ |
\(y^2+xy=x^3-1942067x-989332800\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 44.12.0-2.a.1.2, 52.12.0-2.a.1.1, 308.24.0.?, $\ldots$ |
$[(-923, 4594)]$ |
| 273273.t4 |
273273t1 |
273273.t |
273273t |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{10} \cdot 11 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8008$ |
$48$ |
$0$ |
$11.87466013$ |
$1$ |
|
$1$ |
$3612672$ |
$2.180935$ |
$127263527/3090087$ |
$0.85791$ |
$3.94940$ |
$[1, 0, 0, 86778, -62962173]$ |
\(y^2+xy=x^3+86778x-62962173\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 88.12.0.?, 104.12.0.?, $\ldots$ |
$[(138711/19, 34420323/19)]$ |
| 273273.u1 |
273273u2 |
273273.u |
273273u |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{9} \cdot 11^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38817792$ |
$3.347874$ |
$674733819141829/3361743$ |
$0.95185$ |
$5.50440$ |
$[1, 0, 0, -196711187, 1061898796230]$ |
\(y^2+xy=x^3-196711187x+1061898796230\) |
2.3.0.a.1, 308.6.0.?, 364.6.0.?, 572.6.0.?, 4004.12.0.? |
$[ ]$ |
| 273273.u2 |
273273u1 |
273273.u |
273273u |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{12} \cdot 11 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4004$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$19408896$ |
$3.001301$ |
$-156503678869/11647251$ |
$0.89428$ |
$4.84552$ |
$[1, 0, 0, -12086292, 17180365383]$ |
\(y^2+xy=x^3-12086292x+17180365383\) |
2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.? |
$[ ]$ |
| 273273.v1 |
273273v2 |
273273.v |
273273v |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{9} \cdot 11^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19906560$ |
$2.985580$ |
$249120591156760861/80068829743287$ |
$0.99167$ |
$4.74724$ |
$[1, 0, 0, -8350287, 6192147870]$ |
\(y^2+xy=x^3-8350287x+6192147870\) |
2.3.0.a.1, 308.6.0.?, 364.6.0.?, 572.6.0.?, 4004.12.0.? |
$[ ]$ |
| 273273.v2 |
273273v1 |
273273.v |
273273v |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{4} \cdot 7^{12} \cdot 11^{5} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4004$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9953280$ |
$2.639004$ |
$1392134518764179/1534746617019$ |
$0.97496$ |
$4.33288$ |
$[1, 0, 0, 1481808, 660611223]$ |
\(y^2+xy=x^3+1481808x+660611223\) |
2.3.0.a.1, 286.6.0.?, 308.6.0.?, 364.6.0.?, 4004.12.0.? |
$[ ]$ |
| 273273.w1 |
273273w1 |
273273.w |
273273w |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{9} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$0.978639765$ |
$1$ |
|
$4$ |
$537600$ |
$1.047600$ |
$3407872/99$ |
$0.82801$ |
$3.01039$ |
$[0, -1, 1, -5945, 173942]$ |
\(y^2+y=x^3-x^2-5945x+173942\) |
154.2.0.? |
$[(-16, 514)]$ |
| 273273.x1 |
273273x1 |
273273.x |
273273x |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3 \cdot 7^{3} \cdot 11^{5} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6006$ |
$2$ |
$0$ |
$0.597065651$ |
$1$ |
|
$4$ |
$2634240$ |
$1.938196$ |
$-1884568158208/6280989$ |
$0.96269$ |
$3.95407$ |
$[0, -1, 1, -304425, -64734538]$ |
\(y^2+y=x^3-x^2-304425x-64734538\) |
6006.2.0.? |
$[(1790, 71571)]$ |
| 273273.y1 |
273273y1 |
273273.y |
273273y |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{11} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$14.62051664$ |
$1$ |
|
$0$ |
$45158400$ |
$3.558765$ |
$-3895861901277528064/1561102682139$ |
$1.03223$ |
$5.58164$ |
$[0, -1, 1, -271462221, -1722025970260]$ |
\(y^2+y=x^3-x^2-271462221x-1722025970260\) |
182.2.0.? |
$[(580935654/155, 9008004640442/155)]$ |
| 273273.z1 |
273273z1 |
273273.z |
273273z |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{9} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6988800$ |
$2.330074$ |
$3407872/99$ |
$0.82801$ |
$4.23977$ |
$[0, -1, 1, -1004761, 378132159]$ |
\(y^2+y=x^3-x^2-1004761x+378132159\) |
154.2.0.? |
$[ ]$ |
| 273273.ba1 |
273273ba1 |
273273.ba |
273273ba |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{3} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$2.752282801$ |
$1$ |
|
$2$ |
$998400$ |
$1.357119$ |
$3407872/99$ |
$0.82801$ |
$3.30709$ |
$[0, 1, 1, -20505, -1108285]$ |
\(y^2+y=x^3+x^2-20505x-1108285\) |
154.2.0.? |
$[(-75, 115)]$ |
| 273273.bb1 |
273273bb1 |
273273.bb |
273273bb |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.718745489$ |
$1$ |
|
$4$ |
$489888$ |
$1.191608$ |
$5537792/3267$ |
$1.08782$ |
$2.99263$ |
$[0, 1, 1, 5521, 23846]$ |
\(y^2+y=x^3+x^2+5521x+23846\) |
6.2.0.a.1 |
$[(4, 214)]$ |
| 273273.bc1 |
273273bc1 |
273273.bc |
273273bc |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{7} \cdot 7^{6} \cdot 11^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10090080$ |
$2.761223$ |
$-2830523957248/264627$ |
$1.07225$ |
$4.86225$ |
$[0, 1, 1, -13492509, -19082033512]$ |
\(y^2+y=x^3+x^2-13492509x-19082033512\) |
6.2.0.a.1 |
$[ ]$ |
| 273273.bd1 |
273273bd1 |
273273.bd |
273273bd |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{17} \cdot 11 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$390094848$ |
$4.588066$ |
$127680722384510660804608/1761798128013$ |
$1.05163$ |
$6.82196$ |
$[0, 1, 1, -48029960099, 4051489624129406]$ |
\(y^2+y=x^3+x^2-48029960099x+4051489624129406\) |
154.2.0.? |
$[ ]$ |
| 273273.be1 |
273273be1 |
273273.be |
273273be |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11 \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 11^{2} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.649597093$ |
$1$ |
|
$4$ |
$1806336$ |
$1.893234$ |
$-262144/99099$ |
$0.91927$ |
$3.67666$ |
$[0, 1, 1, -11041, 11418502]$ |
\(y^2+y=x^3+x^2-11041x+11418502\) |
182.2.0.? |
$[(-178, 2788)]$ |
