| 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 |
| 12705.a1 |
12705d1 |
12705.a |
12705d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{13} \cdot 5 \cdot 7^{7} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1.478271330$ |
$1$ |
|
$4$ |
$524160$ |
$2.544552$ |
$63090423356788736/72214645051395$ |
$1.00252$ |
$5.61610$ |
$[0, -1, 1, 1003534, -382978168]$ |
\(y^2+y=x^3-x^2+1003534x-382978168\) |
2310.2.0.? |
$[(598, 20751)]$ |
| 12705.b1 |
12705b3 |
12705.b |
12705b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5^{3} \cdot 7^{4} \cdot 11^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$4.662864886$ |
$1$ |
|
$12$ |
$138240$ |
$1.950544$ |
$1058993490188089/13182390375$ |
$0.94617$ |
$5.18357$ |
$[1, 1, 1, -256946, 49482368]$ |
\(y^2+xy+y=x^3+x^2-256946x+49482368\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0.h.1, 132.12.0.?, $\ldots$ |
$[(-16, 7328), (329, 668)]$ |
| 12705.b2 |
12705b2 |
12705.b |
12705b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$4.662864886$ |
$1$ |
|
$22$ |
$69120$ |
$1.603971$ |
$1697509118089/833765625$ |
$0.93038$ |
$4.50251$ |
$[1, 1, 1, -30071, -793132]$ |
\(y^2+xy+y=x^3+x^2-30071x-793132\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[(-34, 454), (-38, 563)]$ |
| 12705.b3 |
12705b1 |
12705.b |
12705b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{3} \cdot 7 \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$4.662864886$ |
$1$ |
|
$11$ |
$34560$ |
$1.257397$ |
$932288503609/779625$ |
$0.89741$ |
$4.43909$ |
$[1, 1, 1, -24626, -1496626]$ |
\(y^2+xy+y=x^3+x^2-24626x-1496626\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 220.12.0.?, $\ldots$ |
$[(303, 4204), (182, 211)]$ |
| 12705.b4 |
12705b4 |
12705.b |
12705b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5^{12} \cdot 7 \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$18.65145954$ |
$1$ |
|
$6$ |
$138240$ |
$1.950544$ |
$82375335041831/56396484375$ |
$0.95870$ |
$4.91332$ |
$[1, 1, 1, 109684, -5936116]$ |
\(y^2+xy+y=x^3+x^2+109684x-5936116\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 132.12.0.?, $\ldots$ |
$[(83, 1894), (2503, 125072)]$ |
| 12705.c1 |
12705e3 |
12705.c |
12705e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$0.778688737$ |
$1$ |
|
$10$ |
$552960$ |
$2.714424$ |
$981281029968144361/522287841796875$ |
$1.01026$ |
$5.90651$ |
$[1, 1, 1, -2505005, 431309000]$ |
\(y^2+xy+y=x^3+x^2-2505005x+431309000\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 44.24.0-44.h.1.1, 280.24.0.?, 3080.48.0.? |
$[(-132, 27628)]$ |
| 12705.c2 |
12705e2 |
12705.c |
12705e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$1.557377475$ |
$1$ |
|
$12$ |
$276480$ |
$2.367851$ |
$474334834335054841/607815140625$ |
$0.97695$ |
$5.82958$ |
$[1, 1, 1, -1965950, 1058984642]$ |
\(y^2+xy+y=x^3+x^2-1965950x+1058984642\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.2, 140.24.0.?, 1540.48.0.? |
$[(912, 4606)]$ |
| 12705.c3 |
12705e1 |
12705.c |
12705e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{3} \cdot 7 \cdot 11^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$3.114754950$ |
$1$ |
|
$9$ |
$138240$ |
$2.021278$ |
$473897054735271721/779625$ |
$0.97692$ |
$5.82948$ |
$[1, 1, 1, -1965345, 1059670470]$ |
\(y^2+xy+y=x^3+x^2-1965345x+1059670470\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 280.24.0.?, 770.6.0.?, $\ldots$ |
$[(810, -355)]$ |
| 12705.c4 |
12705e4 |
12705.c |
12705e |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{16} \cdot 5^{3} \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3080$ |
$48$ |
$0$ |
$3.114754950$ |
$1$ |
|
$4$ |
$552960$ |
$2.714424$ |
$-185077034913624841/551466161890875$ |
$0.99497$ |
$5.92219$ |
$[1, 1, 1, -1436575, 1642779392]$ |
\(y^2+xy+y=x^3+x^2-1436575x+1642779392\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(65, 39333)]$ |
| 12705.d1 |
12705k4 |
12705.d |
12705k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5 \cdot 7 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.562540$ |
$957681397954009/31185$ |
$0.94531$ |
$5.17293$ |
$[1, 0, 0, -248476, 47652551]$ |
\(y^2+xy=x^3-248476x+47652551\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 120.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 12705.d2 |
12705k3 |
12705.d |
12705k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5 \cdot 7^{4} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.562540$ |
$932288503609/527295615$ |
$0.95635$ |
$4.43909$ |
$[1, 0, 0, -24626, -225939]$ |
\(y^2+xy=x^3-24626x-225939\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0-4.c.1.5, 60.12.0.h.1, 132.12.0.?, $\ldots$ |
$[]$ |
| 12705.d3 |
12705k2 |
12705.d |
12705k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$23040$ |
$1.215965$ |
$234770924809/1334025$ |
$0.88577$ |
$4.29316$ |
$[1, 0, 0, -15551, 741456]$ |
\(y^2+xy=x^3-15551x+741456\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 60.12.0.a.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 12705.d4 |
12705k1 |
12705.d |
12705k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.869392$ |
$-4826809/144375$ |
$0.96833$ |
$3.57062$ |
$[1, 0, 0, -426, 24531]$ |
\(y^2+xy=x^3-426x+24531\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 120.12.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 12705.e1 |
12705j2 |
12705.e |
12705j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{10} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$0.155774862$ |
$1$ |
|
$12$ |
$80640$ |
$1.747688$ |
$19827475353801179/5148111413025$ |
$1.00016$ |
$4.73235$ |
$[1, 0, 0, -62026, 4409681]$ |
\(y^2+xy=x^3-62026x+4409681\) |
2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? |
$[(65, 776)]$ |
| 12705.e2 |
12705j1 |
12705.e |
12705j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{12} \cdot 5 \cdot 7^{5} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$0.311549724$ |
$1$ |
|
$9$ |
$40320$ |
$1.401115$ |
$876440017817099/44659644435$ |
$0.97824$ |
$4.40229$ |
$[1, 0, 0, -21931, -1195600]$ |
\(y^2+xy=x^3-21931x-1195600\) |
2.3.0.a.1, 44.6.0.b.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? |
$[(-91, 266)]$ |
| 12705.f1 |
12705o3 |
12705.f |
12705o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$2.942238$ |
$21026497979043461623321/161783881875$ |
$1.01625$ |
$6.96182$ |
$[1, 0, 0, -69577120, -223387596475]$ |
\(y^2+xy=x^3-69577120x-223387596475\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 44.24.0-44.h.1.1, 280.24.0.?, 3080.48.0.? |
$[]$ |
| 12705.f2 |
12705o2 |
12705.f |
12705o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$460800$ |
$2.595665$ |
$5143681768032498601/14238434358225$ |
$0.98713$ |
$6.08182$ |
$[1, 0, 0, -4351465, -3485823208]$ |
\(y^2+xy=x^3-4351465x-3485823208\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 44.24.0-44.a.1.2, 140.24.0.?, 1540.48.0.? |
$[]$ |
| 12705.f3 |
12705o4 |
12705.f |
12705o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7 \cdot 11^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$921600$ |
$2.942238$ |
$-1143792273008057401/8897444448004035$ |
$1.01190$ |
$6.20528$ |
$[1, 0, 0, -2636290, -6261319393]$ |
\(y^2+xy=x^3-2636290x-6261319393\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 44.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
| 12705.f4 |
12705o1 |
12705.f |
12705o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{16} \cdot 5 \cdot 7 \cdot 11^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$230400$ |
$2.249088$ |
$3481467828171481/2005331497785$ |
$1.02588$ |
$5.30952$ |
$[1, 0, 0, -382060, -6242785]$ |
\(y^2+xy=x^3-382060x-6242785\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 88.24.0.?, 280.24.0.?, 770.6.0.?, $\ldots$ |
$[]$ |
| 12705.g1 |
12705n3 |
12705.g |
12705n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.032986$ |
$157551496201/13125$ |
$0.96087$ |
$4.25095$ |
$[1, 0, 0, -13615, 610292]$ |
\(y^2+xy=x^3-13615x+610292\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 42.6.0.a.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 12705.g2 |
12705n2 |
12705.g |
12705n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$11520$ |
$0.686412$ |
$47045881/11025$ |
$1.04751$ |
$3.39205$ |
$[1, 0, 0, -910, 8075]$ |
\(y^2+xy=x^3-910x+8075\) |
2.6.0.a.1, 20.12.0.a.1, 44.12.0-2.a.1.1, 84.12.0.?, 220.24.0.?, $\ldots$ |
$[]$ |
| 12705.g3 |
12705n1 |
12705.g |
12705n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5 \cdot 7 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5760$ |
$0.339839$ |
$1771561/105$ |
$0.96659$ |
$3.04503$ |
$[1, 0, 0, -305, -1968]$ |
\(y^2+xy=x^3-305x-1968\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 88.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
| 12705.g4 |
12705n4 |
12705.g |
12705n |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.032986$ |
$590589719/972405$ |
$0.94478$ |
$3.72460$ |
$[1, 0, 0, 2115, 51030]$ |
\(y^2+xy=x^3+2115x+51030\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 44.12.0-4.c.1.2, 168.12.0.?, $\ldots$ |
$[]$ |
| 12705.h1 |
12705a1 |
12705.h |
12705a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{5} \cdot 5 \cdot 7 \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48000$ |
$1.636166$ |
$-250523582464/1369738755$ |
$0.96787$ |
$4.54833$ |
$[0, -1, 1, -15891, -2487013]$ |
\(y^2+y=x^3-x^2-15891x-2487013\) |
2310.2.0.? |
$[]$ |
| 12705.i1 |
12705i2 |
12705.i |
12705i |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5^{3} \cdot 7 \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$2.919908043$ |
$1$ |
|
$2$ |
$51840$ |
$1.522299$ |
$-65860951343104/3493875$ |
$0.98707$ |
$4.88966$ |
$[0, 1, 1, -101801, 12468605]$ |
\(y^2+y=x^3+x^2-101801x+12468605\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 210.8.0.?, 2310.16.0.? |
$[(51, 2722)]$ |
| 12705.i2 |
12705i1 |
12705.i |
12705i |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{3} \cdot 5 \cdot 7^{3} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$0.973302681$ |
$1$ |
|
$4$ |
$17280$ |
$0.972992$ |
$-262144/509355$ |
$1.02966$ |
$3.70203$ |
$[0, 1, 1, -161, 45656]$ |
\(y^2+y=x^3+x^2-161x+45656\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 210.8.0.?, 2310.16.0.? |
$[(-26, 181)]$ |
| 12705.j1 |
12705q1 |
12705.j |
12705q |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{7} \cdot 5^{7} \cdot 7 \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$0.260187376$ |
$1$ |
|
$8$ |
$94080$ |
$1.828905$ |
$17869652393984/13156171875$ |
$0.98585$ |
$4.75161$ |
$[0, 1, 1, 65905, -3375619]$ |
\(y^2+y=x^3+x^2+65905x-3375619\) |
2310.2.0.? |
$[(535, 13612)]$ |
| 12705.k1 |
12705c3 |
12705.k |
12705c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5 \cdot 7^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$7.902002809$ |
$1$ |
|
$0$ |
$46080$ |
$1.469093$ |
$75627935783569/396165$ |
$0.92963$ |
$4.90428$ |
$[1, 1, 0, -106603, -13441292]$ |
\(y^2+xy=x^3+x^2-106603x-13441292\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 132.12.0.?, 168.12.0.?, $\ldots$ |
$[(1947/2, 54785/2)]$ |
| 12705.k2 |
12705c2 |
12705.k |
12705c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$3.951001404$ |
$1$ |
|
$4$ |
$23040$ |
$1.122519$ |
$19443408769/1334025$ |
$0.86386$ |
$4.02954$ |
$[1, 1, 0, -6778, -204497]$ |
\(y^2+xy=x^3+x^2-6778x-204497\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 132.12.0.?, 308.12.0.?, $\ldots$ |
$[(154, 1483)]$ |
| 12705.k3 |
12705c1 |
12705.k |
12705c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5 \cdot 7 \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$1.975500702$ |
$1$ |
|
$3$ |
$11520$ |
$0.775946$ |
$148035889/31185$ |
$0.93780$ |
$3.51336$ |
$[1, 1, 0, -1333, 14392]$ |
\(y^2+xy=x^3+x^2-1333x+14392\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 264.12.0.?, $\ldots$ |
$[(424, 8500)]$ |
| 12705.k4 |
12705c4 |
12705.k |
12705c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5^{4} \cdot 7 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$9240$ |
$48$ |
$0$ |
$7.902002809$ |
$1$ |
|
$0$ |
$46080$ |
$1.469093$ |
$12994449551/192163125$ |
$0.92267$ |
$4.32562$ |
$[1, 1, 0, 5927, -867698]$ |
\(y^2+xy=x^3+x^2+5927x-867698\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 132.12.0.?, $\ldots$ |
$[(9009/8, 817739/8)]$ |
| 12705.l1 |
12705g5 |
12705.l |
12705g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$245760$ |
$2.212814$ |
$257260669489908001/14267882475$ |
$0.97416$ |
$5.76483$ |
$[1, 1, 0, -1603252, 780654241]$ |
\(y^2+xy=x^3+x^2-1603252x+780654241\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 44.24.0-44.h.1.2, 88.48.0.?, $\ldots$ |
$[]$ |
| 12705.l2 |
12705g3 |
12705.l |
12705g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$122880$ |
$1.866241$ |
$74093292126001/14707625625$ |
$0.93522$ |
$4.90211$ |
$[1, 1, 0, -105877, 10704016]$ |
\(y^2+xy=x^3+x^2-105877x+10704016\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 44.48.0-44.c.1.2, 56.48.0-56.i.2.32, 120.48.0.?, $\ldots$ |
$[]$ |
| 12705.l3 |
12705g2 |
12705.l |
12705g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$61440$ |
$1.519667$ |
$2177286259681/161417025$ |
$0.90617$ |
$4.52885$ |
$[1, 1, 0, -32672, -2136141]$ |
\(y^2+xy=x^3+x^2-32672x-2136141\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 44.24.0-4.b.1.3, 56.48.0-56.i.1.5, $\ldots$ |
$[]$ |
| 12705.l4 |
12705g1 |
12705.l |
12705g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3 \cdot 5 \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$30720$ |
$1.173094$ |
$2058561081361/12705$ |
$0.90375$ |
$4.52291$ |
$[1, 1, 0, -32067, -2223624]$ |
\(y^2+xy=x^3+x^2-32067x-2223624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 12705.l5 |
12705g4 |
12705.l |
12705g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5 \cdot 7 \cdot 11^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$122880$ |
$1.866241$ |
$1833318007919/22507682505$ |
$0.95463$ |
$4.82880$ |
$[1, 1, 0, 30853, -9365286]$ |
\(y^2+xy=x^3+x^2+30853x-9365286\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 44.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 12705.l6 |
12705g6 |
12705.l |
12705g |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$245760$ |
$2.212814$ |
$666688497209279/1381398046875$ |
$0.96578$ |
$5.23492$ |
$[1, 1, 0, 220218, 63987939]$ |
\(y^2+xy=x^3+x^2+220218x+63987939\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 22.6.0.a.1, 44.24.0-44.g.1.1, $\ldots$ |
$[]$ |
| 12705.m1 |
12705h2 |
12705.m |
12705h |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{10} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$887040$ |
$2.946636$ |
$19827475353801179/5148111413025$ |
$1.00016$ |
$6.25486$ |
$[1, 0, 1, -7505149, -5876790559]$ |
\(y^2+xy+y=x^3-7505149x-5876790559\) |
2.3.0.a.1, 44.6.0.a.1, 140.6.0.?, 1540.12.0.? |
$[]$ |
| 12705.m2 |
12705h1 |
12705.m |
12705h |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{12} \cdot 5 \cdot 7^{5} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1540$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$443520$ |
$2.600063$ |
$876440017817099/44659644435$ |
$0.97824$ |
$5.92481$ |
$[1, 0, 1, -2653654, 1588689947]$ |
\(y^2+xy+y=x^3-2653654x+1588689947\) |
2.3.0.a.1, 44.6.0.b.1, 140.6.0.?, 770.6.0.?, 1540.12.0.? |
$[]$ |
| 12705.n1 |
12705m5 |
12705.n |
12705m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$921600$ |
$3.098083$ |
$3135316978843283198764801/571725$ |
$1.03024$ |
$7.49143$ |
$[1, 0, 1, -368953203, 2727722241781]$ |
\(y^2+xy+y=x^3-368953203x+2727722241781\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 42.6.0.a.1, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 12705.n2 |
12705m4 |
12705.n |
12705m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$460800$ |
$2.751511$ |
$765458482133960722801/326869475625$ |
$1.00564$ |
$6.61122$ |
$[1, 0, 1, -23059578, 42619209631]$ |
\(y^2+xy+y=x^3-23059578x+42619209631\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 40.24.0-4.b.1.5, 44.24.0-4.b.1.1, $\ldots$ |
$[]$ |
| 12705.n3 |
12705m6 |
12705.n |
12705m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$3.098083$ |
$-754127868744065783521/15825714261328125$ |
$1.00596$ |
$6.61341$ |
$[1, 0, 1, -22945233, 43062822493]$ |
\(y^2+xy+y=x^3-22945233x+43062822493\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.2, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 12705.n4 |
12705m3 |
12705.n |
12705m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{24} \cdot 5 \cdot 7^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$460800$ |
$2.751511$ |
$1821931919215868881/761147600816295$ |
$0.99769$ |
$5.97199$ |
$[1, 0, 1, -3078848, -1096801477]$ |
\(y^2+xy+y=x^3-3078848x-1096801477\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 40.24.0-8.n.1.10, $\ldots$ |
$[]$ |
| 12705.n5 |
12705m2 |
12705.n |
12705m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$230400$ |
$2.404938$ |
$189674274234120481/3859869269025$ |
$0.97318$ |
$5.73258$ |
$[1, 0, 1, -1448373, 658894003]$ |
\(y^2+xy+y=x^3-1448373x+658894003\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.2, 24.24.0.i.2, 44.24.0-4.b.1.3, $\ldots$ |
$[]$ |
| 12705.n6 |
12705m1 |
12705.n |
12705m |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{6} \cdot 5 \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$115200$ |
$2.058365$ |
$4733169839/231139696095$ |
$1.05127$ |
$5.08038$ |
$[1, 0, 1, 4232, 30787601]$ |
\(y^2+xy+y=x^3+4232x+30787601\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0.bz.1, $\ldots$ |
$[]$ |
| 12705.o1 |
12705f1 |
12705.o |
12705f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5^{3} \cdot 7 \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$2.653472482$ |
$1$ |
|
$0$ |
$17280$ |
$0.733761$ |
$-4096/28875$ |
$0.93381$ |
$3.39828$ |
$[0, -1, 1, -40, -10869]$ |
\(y^2+y=x^3-x^2-40x-10869\) |
2310.2.0.? |
$[(93/2, 117/2)]$ |
| 12705.p1 |
12705l1 |
12705.p |
12705l |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{7} \cdot 5 \cdot 7 \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.195316$ |
$-222985990144/841995$ |
$0.89082$ |
$4.28839$ |
$[0, 1, 1, -15286, -734915]$ |
\(y^2+y=x^3+x^2-15286x-734915\) |
2310.2.0.? |
$[]$ |
| 12705.q1 |
12705p2 |
12705.q |
12705p |
$2$ |
$5$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3 \cdot 5 \cdot 7 \cdot 11^{21} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2310$ |
$48$ |
$1$ |
$1$ |
$25$ |
$5$ |
$0$ |
$3600000$ |
$3.263432$ |
$-2126464142970105856/438611057788643355$ |
$1.07125$ |
$6.61047$ |
$[0, 1, 1, -3241630, 42469124539]$ |
\(y^2+y=x^3+x^2-3241630x+42469124539\) |
5.12.0.a.2, 55.24.0-5.a.2.1, 210.24.0.?, 2310.48.1.? |
$[]$ |
| 12705.q2 |
12705p1 |
12705.q |
12705p |
$2$ |
$5$ |
\( 3 \cdot 5 \cdot 7 \cdot 11^{2} \) |
\( - 3^{5} \cdot 5^{5} \cdot 7^{5} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2310$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$720000$ |
$2.458714$ |
$-79028701534867456/16987307596875$ |
$0.98847$ |
$5.67336$ |
$[0, 1, 1, -1081780, -507519941]$ |
\(y^2+y=x^3+x^2-1081780x-507519941\) |
5.12.0.a.1, 55.24.0-5.a.1.1, 210.24.0.?, 2310.48.1.? |
$[]$ |
