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 |
450.a1 |
450f4 |
450.a |
450f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1.190991927$ |
$1$ |
|
$6$ |
$1152$ |
$1.182238$ |
$57960603/31250$ |
$[1, -1, 0, -5442, -39034]$ |
\(y^2+xy=x^3-x^2-5442x-39034\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$ |
$[(-41, 358)]$ |
450.a2 |
450f2 |
450.a |
450f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.396997309$ |
$1$ |
|
$10$ |
$384$ |
$0.632931$ |
$8527173507/200$ |
$[1, -1, 0, -3192, 70216]$ |
\(y^2+xy=x^3-x^2-3192x+70216\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$ |
$[(29, 23)]$ |
450.a3 |
450f1 |
450.a |
450f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.198498654$ |
$1$ |
|
$13$ |
$192$ |
$0.286357$ |
$-1860867/320$ |
$[1, -1, 0, -192, 1216]$ |
\(y^2+xy=x^3-x^2-192x+1216\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 24.48.0-24.cd.1.6, $\ldots$ |
$[(-1, 38)]$ |
450.a4 |
450f3 |
450.a |
450f |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$0.595495963$ |
$1$ |
|
$9$ |
$576$ |
$0.835664$ |
$804357/500$ |
$[1, -1, 0, 1308, -5284]$ |
\(y^2+xy=x^3-x^2+1308x-5284\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 24.48.0-24.cd.1.2, $\ldots$ |
$[(14, 118)]$ |
450.b1 |
450c4 |
450.b |
450c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{5} \cdot 3^{16} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$1.372809958$ |
$1$ |
|
$6$ |
$640$ |
$1.015327$ |
$502270291349/1889568$ |
$[1, -1, 0, -7452, -244944]$ |
\(y^2+xy=x^3-x^2-7452x-244944\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 20.72.0-10.a.2.9, $\ldots$ |
$[(-51, 3)]$ |
450.b2 |
450c2 |
450.b |
450c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$0.274561991$ |
$1$ |
|
$10$ |
$128$ |
$0.210608$ |
$131872229/18$ |
$[1, -1, 0, -477, 4131]$ |
\(y^2+xy=x^3-x^2-477x+4131\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.1, 20.72.0-10.a.1.8, $\ldots$ |
$[(9, 18)]$ |
450.b3 |
450c3 |
450.b |
450c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$0.686404979$ |
$1$ |
|
$9$ |
$320$ |
$0.668754$ |
$-19465109/248832$ |
$[1, -1, 0, -252, -7344]$ |
\(y^2+xy=x^3-x^2-252x-7344\) |
2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.2, 15.24.0-5.a.1.1, 24.6.0.j.1, $\ldots$ |
$[(39, 183)]$ |
450.b4 |
450c1 |
450.b |
450c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$0.137280995$ |
$1$ |
|
$15$ |
$64$ |
$-0.135965$ |
$-24389/12$ |
$[1, -1, 0, -27, 81]$ |
\(y^2+xy=x^3-x^2-27x+81\) |
2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.4, 15.24.0-5.a.2.1, 24.6.0.j.1, $\ldots$ |
$[(0, 9)]$ |
450.c1 |
450d4 |
450.c |
450d |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$900$ |
$1.177231$ |
$-349938025/8$ |
$[1, -1, 0, -28242, 1833916]$ |
\(y^2+xy=x^3-x^2-28242x+1833916\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.1.4, 24.8.0.a.1, $\ldots$ |
$[]$ |
450.c2 |
450d3 |
450.c |
450d |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$300$ |
$0.627926$ |
$-25/2$ |
$[1, -1, 0, -117, 5791]$ |
\(y^2+xy=x^3-x^2-117x+5791\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.2.2, 24.8.0.a.1, $\ldots$ |
$[]$ |
450.c3 |
450d1 |
450.c |
450d |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$-0.176793$ |
$-121945/32$ |
$[1, -1, 0, -27, -59]$ |
\(y^2+xy=x^3-x^2-27x-59\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.4.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
450.c4 |
450d2 |
450.c |
450d |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$180$ |
$0.372513$ |
$46969655/32768$ |
$[1, -1, 0, 198, 436]$ |
\(y^2+xy=x^3-x^2+198x+436\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.3.3, 24.8.0.a.1, $\ldots$ |
$[]$ |
450.d1 |
450g8 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$1.918192$ |
$16778985534208729/81000$ |
$[1, -1, 0, -1200042, 506291116]$ |
\(y^2+xy=x^3-x^2-1200042x+506291116\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.6, $\ldots$ |
$[]$ |
450.d2 |
450g7 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$1.918192$ |
$10316097499609/5859375000$ |
$[1, -1, 0, -102042, 1733116]$ |
\(y^2+xy=x^3-x^2-102042x+1733116\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.6, $\ldots$ |
$[]$ |
450.d3 |
450g6 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.2, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$2304$ |
$1.571617$ |
$4102915888729/9000000$ |
$[1, -1, 0, -75042, 7916116]$ |
\(y^2+xy=x^3-x^2-75042x+7916116\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.2, 12.96.0-12.a.1.10, $\ldots$ |
$[]$ |
450.d4 |
450g4 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$1.368885$ |
$2656166199049/33750$ |
$[1, -1, 0, -64917, -6350009]$ |
\(y^2+xy=x^3-x^2-64917x-6350009\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.6, $\ldots$ |
$[]$ |
450.d5 |
450g5 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2 \cdot 3^{18} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$1.368885$ |
$35578826569/5314410$ |
$[1, -1, 0, -15417, 638491]$ |
\(y^2+xy=x^3-x^2-15417x+638491\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 8.12.0-4.c.1.6, $\ldots$ |
$[]$ |
450.d6 |
450g2 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.2, 3.4.0.1 |
2Cs, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$768$ |
$1.022312$ |
$702595369/72900$ |
$[1, -1, 0, -4167, -92759]$ |
\(y^2+xy=x^3-x^2-4167x-92759\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 8.12.0-2.a.1.2, 12.96.0-12.a.2.4, $\ldots$ |
$[]$ |
450.d7 |
450g3 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$1.225044$ |
$-273359449/1536000$ |
$[1, -1, 0, -3042, 212116]$ |
\(y^2+xy=x^3-x^2-3042x+212116\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.3, 8.12.0-4.c.1.6, $\ldots$ |
$[]$ |
450.d8 |
450g1 |
450.d |
450g |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.13, 3.4.0.1 |
2B, 3B |
$120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.675737$ |
$357911/2160$ |
$[1, -1, 0, 333, -7259]$ |
\(y^2+xy=x^3-x^2+333x-7259\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.24.0-6.a.1.1, 8.12.0-4.c.1.6, $\ldots$ |
$[]$ |
450.e1 |
450e4 |
450.e |
450e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$1.182238$ |
$8527173507/200$ |
$[1, -1, 1, -28730, -1867103]$ |
\(y^2+xy+y=x^3-x^2-28730x-1867103\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 15.8.0-3.a.1.1, $\ldots$ |
$[]$ |
450.e2 |
450e3 |
450.e |
450e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.835664$ |
$-1860867/320$ |
$[1, -1, 1, -1730, -31103]$ |
\(y^2+xy+y=x^3-x^2-1730x-31103\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 15.8.0-3.a.1.1, 24.48.0-24.cd.1.2, $\ldots$ |
$[]$ |
450.e3 |
450e2 |
450.e |
450e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$384$ |
$0.632931$ |
$57960603/31250$ |
$[1, -1, 1, -605, 1647]$ |
\(y^2+xy+y=x^3-x^2-605x+1647\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 15.8.0-3.a.1.2, $\ldots$ |
$[]$ |
450.e4 |
450e1 |
450.e |
450e |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$120$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$0.286357$ |
$804357/500$ |
$[1, -1, 1, 145, 147]$ |
\(y^2+xy+y=x^3-x^2+145x+147\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 15.8.0-3.a.1.2, 24.48.0-24.cd.1.6, $\ldots$ |
$[]$ |
450.f1 |
450a4 |
450.f |
450a |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2^{5} \cdot 3^{16} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3200$ |
$1.820047$ |
$502270291349/1889568$ |
$[1, -1, 1, -186305, -30804303]$ |
\(y^2+xy+y=x^3-x^2-186305x-30804303\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.2, 20.72.0-10.a.2.11, $\ldots$ |
$[]$ |
450.f2 |
450a2 |
450.f |
450a |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( 2 \cdot 3^{8} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$640$ |
$1.015327$ |
$131872229/18$ |
$[1, -1, 1, -11930, 504447]$ |
\(y^2+xy+y=x^3-x^2-11930x+504447\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.2, 20.72.0-10.a.1.11, $\ldots$ |
$[]$ |
450.f3 |
450a3 |
450.f |
450a |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1600$ |
$1.473473$ |
$-19465109/248832$ |
$[1, -1, 1, -6305, -924303]$ |
\(y^2+xy+y=x^3-x^2-6305x-924303\) |
2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.4, 15.24.0-5.a.1.2, 24.6.0.j.1, $\ldots$ |
$[]$ |
450.f4 |
450a1 |
450.f |
450a |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$320$ |
$0.668754$ |
$-24389/12$ |
$[1, -1, 1, -680, 9447]$ |
\(y^2+xy+y=x^3-x^2-680x+9447\) |
2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.3, 15.24.0-5.a.2.2, 24.6.0.j.1, $\ldots$ |
$[]$ |
450.g1 |
450b2 |
450.g |
450b |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.1, 5.12.0.2 |
3B.1.1, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$2$ |
$180$ |
$0.372513$ |
$-349938025/8$ |
$[1, -1, 1, -1130, 14897]$ |
\(y^2+xy+y=x^3-x^2-1130x+14897\) |
3.8.0-3.a.1.2, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.1.2, 24.16.0-24.a.1.8, $\ldots$ |
$[]$ |
450.g2 |
450b3 |
450.g |
450b |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.2, 5.12.0.1 |
3B.1.2, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$300$ |
$0.627926$ |
$-121945/32$ |
$[1, -1, 1, -680, -8053]$ |
\(y^2+xy+y=x^3-x^2-680x-8053\) |
3.8.0-3.a.1.1, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.4.2, 24.16.0-24.a.1.6, $\ldots$ |
$[]$ |
450.g3 |
450b1 |
450.g |
450b |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.2, 5.12.0.2 |
3B.1.2, 5B.4.2 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$60$ |
$-0.176793$ |
$-25/2$ |
$[1, -1, 1, -5, 47]$ |
\(y^2+xy+y=x^3-x^2-5x+47\) |
3.8.0-3.a.1.1, 5.12.0.a.2, 8.2.0.a.1, 15.192.1-15.a.2.1, 24.16.0-24.a.1.6, $\ldots$ |
$[]$ |
450.g4 |
450b4 |
450.g |
450b |
$4$ |
$15$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.8.0.1, 5.12.0.1 |
3B.1.1, 5B.4.1 |
$120$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$2$ |
$900$ |
$1.177231$ |
$46969655/32768$ |
$[1, -1, 1, 4945, 59447]$ |
\(y^2+xy+y=x^3-x^2+4945x+59447\) |
3.8.0-3.a.1.2, 5.12.0.a.1, 8.2.0.a.1, 15.192.1-15.a.3.4, 24.16.0-24.a.1.8, $\ldots$ |
$[]$ |