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 |
108900.a1 |
108900dy1 |
108900.a |
108900dy |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$0.276730316$ |
$1$ |
|
$10$ |
$2764800$ |
$2.260880$ |
$27440/33$ |
$0.71080$ |
$4.28470$ |
$[0, 0, 0, 317625, -71541250]$ |
\(y^2=x^3+317625x-71541250\) |
132.2.0.? |
$[(1375, 54450)]$ |
108900.b1 |
108900cx1 |
108900.b |
108900cx |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.494911267$ |
$1$ |
|
$18$ |
$322560$ |
$1.343153$ |
$-30908416/3$ |
$1.03221$ |
$3.77955$ |
$[0, 0, 0, -46200, 3822500]$ |
\(y^2=x^3-46200x+3822500\) |
6.2.0.a.1 |
$[(100, 450), (136, 234)]$ |
108900.c1 |
108900bc2 |
108900.c |
108900bc |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$13.54259798$ |
$1$ |
|
$2$ |
$202176$ |
$1.069668$ |
$0$ |
|
$3.11636$ |
$[0, 0, 0, 0, -81675]$ |
\(y^2=x^3-81675\) |
|
$[(111, 1134), (201/2, 1701/2)]$ |
108900.c2 |
108900bc1 |
108900.c |
108900bc |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11^{4} \) |
$2$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1.504733109$ |
$1$ |
|
$22$ |
$67392$ |
$0.520363$ |
$0$ |
|
$2.54803$ |
$[0, 0, 0, 0, 3025]$ |
\(y^2=x^3+3025\) |
|
$[(11, 66), (44, 297)]$ |
108900.d1 |
108900p1 |
108900.d |
108900p |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.025555628$ |
$1$ |
|
$2$ |
$3706560$ |
$2.524029$ |
$0$ |
|
$4.62111$ |
$[0, 0, 0, 0, -503284375]$ |
\(y^2=x^3-503284375\) |
|
$[(1226, 36599)]$ |
108900.d2 |
108900p2 |
108900.d |
108900p |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$21.07666688$ |
$1$ |
|
$0$ |
$11119680$ |
$3.073334$ |
$0$ |
|
$5.18945$ |
$[0, 0, 0, 0, 13588678125]$ |
\(y^2=x^3+13588678125\) |
|
$[(-42591581/613, 26850152624428/613)]$ |
108900.e1 |
108900bi2 |
108900.e |
108900bi |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$440$ |
$48$ |
$1$ |
$6.957266058$ |
$1$ |
|
$3$ |
$9732096$ |
$2.992207$ |
$1016339184/25$ |
$0.96659$ |
$5.52793$ |
$[0, 0, 0, -39830175, -96751388250]$ |
\(y^2=x^3-39830175x-96751388250\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 40.24.0.eg.1, 44.12.0.l.1, $\ldots$ |
$[(9595, 635950)]$ |
108900.e2 |
108900bi1 |
108900.e |
108900bi |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$440$ |
$48$ |
$1$ |
$3.478633029$ |
$1$ |
|
$5$ |
$4866048$ |
$2.645634$ |
$-3538944/625$ |
$1.36072$ |
$4.82383$ |
$[0, 0, 0, -2395800, -1630641375]$ |
\(y^2=x^3-2395800x-1630641375\) |
2.3.0.a.1, 4.12.0.e.1, 22.6.0.a.1, 40.24.0.ea.1, 44.24.0.e.1, $\ldots$ |
$[(2940, 129375)]$ |
108900.f1 |
108900ct4 |
108900.f |
108900ct |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$14929920$ |
$3.267422$ |
$154639330142416/33275$ |
$0.97344$ |
$5.93653$ |
$[0, 0, 0, -193306575, -1034470170250]$ |
\(y^2=x^3-193306575x-1034470170250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 20.6.0.c.1, $\ldots$ |
$[ ]$ |
108900.f2 |
108900ct3 |
108900.f |
108900ct |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$7464960$ |
$2.920849$ |
$610462990336/8857805$ |
$1.02612$ |
$5.22028$ |
$[0, 0, 0, -12124200, -16044040375]$ |
\(y^2=x^3-12124200x-16044040375\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.12, $\ldots$ |
$[ ]$ |
108900.f3 |
108900ct2 |
108900.f |
108900ct |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{12} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4976640$ |
$2.718117$ |
$436334416/171875$ |
$0.87819$ |
$4.83479$ |
$[0, 0, 0, -2731575, -981945250]$ |
\(y^2=x^3-2731575x-981945250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 20.6.0.c.1, $\ldots$ |
$[ ]$ |
108900.f4 |
108900ct1 |
108900.f |
108900ct |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{9} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2488320$ |
$2.371544$ |
$643956736/15125$ |
$0.96705$ |
$4.62929$ |
$[0, 0, 0, -1234200, 516927125]$ |
\(y^2=x^3-1234200x+516927125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 12.24.0-6.a.1.6, $\ldots$ |
$[ ]$ |
108900.g1 |
108900cu4 |
108900.g |
108900cu |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$19906560$ |
$3.405582$ |
$1628514404944/664335375$ |
$0.96334$ |
$5.54393$ |
$[0, 0, 0, -42371175, -57666573250]$ |
\(y^2=x^3-42371175x-57666573250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 44.6.0.c.1, $\ldots$ |
$[ ]$ |
108900.g2 |
108900cu2 |
108900.g |
108900cu |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.856274$ |
$158792223184/16335$ |
$0.92143$ |
$5.34322$ |
$[0, 0, 0, -19502175, 33146225750]$ |
\(y^2=x^3-19502175x+33146225750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 44.6.0.c.1, $\ldots$ |
$[ ]$ |
108900.g3 |
108900cu1 |
108900.g |
108900cu |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{12} \cdot 5^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3317760$ |
$2.509701$ |
$-488095744/200475$ |
$0.94024$ |
$4.65164$ |
$[0, 0, 0, -1125300, 600780125]$ |
\(y^2=x^3-1125300x+600780125\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 22.6.0.a.1, $\ldots$ |
$[ ]$ |
108900.g4 |
108900cu3 |
108900.g |
108900cu |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{12} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9953280$ |
$3.059006$ |
$223673040896/187171875$ |
$1.02215$ |
$5.13371$ |
$[0, 0, 0, 8675700, -6568651375]$ |
\(y^2=x^3+8675700x-6568651375\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 22.6.0.a.1, $\ldots$ |
$[ ]$ |
108900.h1 |
108900cs1 |
108900.h |
108900cs |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{11} \cdot 5^{7} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$967680$ |
$1.818022$ |
$-212464384/1215$ |
$0.92428$ |
$4.12104$ |
$[0, 0, 0, -172425, -27693875]$ |
\(y^2=x^3-172425x-27693875\) |
30.2.0.a.1 |
$[ ]$ |
108900.i1 |
108900dx1 |
108900.i |
108900dx |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.32 |
2B |
$2640$ |
$96$ |
$1$ |
$4.211246891$ |
$1$ |
|
$1$ |
$1228800$ |
$2.117722$ |
$131072/9$ |
$1.20155$ |
$4.31275$ |
$[0, 0, 0, -363000, 79028125]$ |
\(y^2=x^3-363000x+79028125\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.q.1, 10.6.0.a.1, 12.12.0.n.1, $\ldots$ |
$[(209/2, 62073/2)]$ |
108900.i2 |
108900dx2 |
108900.i |
108900dx |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{9} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.28 |
2B |
$2640$ |
$96$ |
$1$ |
$8.422493783$ |
$1$ |
|
$1$ |
$2457600$ |
$2.464294$ |
$5488/81$ |
$1.00175$ |
$4.55402$ |
$[0, 0, 0, 317625, 341068750]$ |
\(y^2=x^3+317625x+341068750\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.t.1, 20.12.0.l.1, 24.24.0.eb.1, $\ldots$ |
$[(23881/6, 6273971/6)]$ |
108900.j1 |
108900n4 |
108900.j |
108900n |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.749128076$ |
$1$ |
|
$3$ |
$1244160$ |
$2.084129$ |
$54000$ |
$1.02720$ |
$4.34322$ |
$[0, 0, 0, -408375, 98826750]$ |
\(y^2=x^3-408375x+98826750\) |
|
$[(154, 6292)]$ |
108900.j2 |
108900n2 |
108900.j |
108900n |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-12$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.249709358$ |
$1$ |
|
$7$ |
$414720$ |
$1.534824$ |
$54000$ |
$1.02720$ |
$3.77488$ |
$[0, 0, 0, -45375, -3660250]$ |
\(y^2=x^3-45375x-3660250\) |
|
$[(-121, 242)]$ |
108900.j3 |
108900n1 |
108900.j |
108900n |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
|
|
|
$2.499418717$ |
$1$ |
|
$5$ |
$207360$ |
$1.188251$ |
$0$ |
|
$3.23905$ |
$[0, 0, 0, 0, -166375]$ |
\(y^2=x^3-166375\) |
|
$[(130, 1425)]$ |
108900.j4 |
108900n3 |
108900.j |
108900n |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{6} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.83 |
2B |
|
|
|
$7.498256152$ |
$1$ |
|
$1$ |
$622080$ |
$1.737558$ |
$0$ |
|
$3.80739$ |
$[0, 0, 0, 0, 4492125]$ |
\(y^2=x^3+4492125\) |
|
$[(9889/8, 1464463/8)]$ |
108900.k1 |
108900bh2 |
108900.k |
108900bh |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$11.62421651$ |
$1$ |
|
$1$ |
$9732096$ |
$3.049084$ |
$26962544/5625$ |
$0.87828$ |
$5.21500$ |
$[0, 0, 0, -11879175, 12602240750]$ |
\(y^2=x^3-11879175x+12602240750\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.bu.1, 44.12.0.l.1, $\ldots$ |
$[(2567665/18, 3762319375/18)]$ |
108900.k2 |
108900bh1 |
108900.k |
108900bh |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{8} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$5.812108257$ |
$1$ |
|
$1$ |
$4866048$ |
$2.702507$ |
$1048576/2025$ |
$1.10454$ |
$4.76918$ |
$[0, 0, 0, 1597200, 1187751125]$ |
\(y^2=x^3+1597200x+1187751125\) |
2.3.0.a.1, 4.6.0.e.1, 20.12.0.n.1, 22.6.0.a.1, 24.12.0.bq.1, $\ldots$ |
$[(30385/2, 5376375/2)]$ |
108900.l1 |
108900bb2 |
108900.l |
108900bb |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.4 |
3B.1.2 |
|
|
|
$1$ |
$9$ |
$3$ |
$0$ |
$2566080$ |
$2.405445$ |
$0$ |
|
$4.49842$ |
$[0, 0, 0, 0, -247066875]$ |
\(y^2=x^3-247066875\) |
|
$[ ]$ |
108900.l2 |
108900bb1 |
108900.l |
108900bb |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$3$ |
27.648.18.1 |
3B.1.1 |
|
|
|
$1$ |
$1$ |
|
$2$ |
$855360$ |
$1.856140$ |
$0$ |
|
$3.93008$ |
$[0, 0, 0, 0, 9150625]$ |
\(y^2=x^3+9150625\) |
|
$[ ]$ |
108900.m1 |
108900o1 |
108900.m |
108900o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$0.901244898$ |
$1$ |
|
$4$ |
$15552$ |
$-0.147527$ |
$0$ |
|
$1.85700$ |
$[0, 0, 0, 0, -55]$ |
\(y^2=x^3-55\) |
|
$[(4, 3)]$ |
108900.m2 |
108900o2 |
108900.m |
108900o |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-3})$ |
$-3$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$2.703734694$ |
$1$ |
|
$0$ |
$46656$ |
$0.401780$ |
$0$ |
|
$2.42534$ |
$[0, 0, 0, 0, 1485]$ |
\(y^2=x^3+1485\) |
|
$[(-39/2, 189/2)]$ |
108900.n1 |
108900cq1 |
108900.n |
108900cq |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9123840$ |
$3.102097$ |
$-7929856/675$ |
$1.01135$ |
$5.32806$ |
$[0, 0, 0, -17569200, -30358113500]$ |
\(y^2=x^3-17569200x-30358113500\) |
6.2.0.a.1 |
$[ ]$ |
108900.o1 |
108900cp1 |
108900.o |
108900cp |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{10} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14636160$ |
$3.288105$ |
$-2252800/2187$ |
$0.99373$ |
$5.43421$ |
$[0, 0, 0, -19965000, -56184837500]$ |
\(y^2=x^3-19965000x-56184837500\) |
6.2.0.a.1 |
$[ ]$ |
108900.p1 |
108900dv1 |
108900.p |
108900dv |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 5^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.656891094$ |
$1$ |
|
$6$ |
$266112$ |
$1.284439$ |
$-2252800/2187$ |
$0.99373$ |
$3.36113$ |
$[0, 0, 0, -6600, 337700]$ |
\(y^2=x^3-6600x+337700\) |
6.2.0.a.1 |
$[(16, 486)]$ |
108900.q1 |
108900du1 |
108900.q |
108900du |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{4} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$132$ |
$2$ |
$0$ |
$2.287047472$ |
$1$ |
|
$2$ |
$1382400$ |
$2.137291$ |
$-20261200/2673$ |
$0.86205$ |
$4.31029$ |
$[0, 0, 0, -335775, -82987850]$ |
\(y^2=x^3-335775x-82987850\) |
132.2.0.? |
$[(3410, 196020)]$ |
108900.r1 |
108900co1 |
108900.r |
108900co |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{16} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1935360$ |
$2.388733$ |
$-292124360704/29296875$ |
$1.08688$ |
$4.58257$ |
$[0, 0, 0, -976800, -402495500]$ |
\(y^2=x^3-976800x-402495500\) |
6.2.0.a.1 |
$[ ]$ |
108900.s1 |
108900y1 |
108900.s |
108900y |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10368000$ |
$3.111874$ |
$-238878720/14641$ |
$1.01441$ |
$5.35323$ |
$[0, 0, 0, -19602000, -35128417500]$ |
\(y^2=x^3-19602000x-35128417500\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[ ]$ |
108900.t1 |
108900x1 |
108900.t |
108900x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$12$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456000$ |
$2.562569$ |
$-238878720/14641$ |
$1.01441$ |
$4.78489$ |
$[0, 0, 0, -2178000, 1301052500]$ |
\(y^2=x^3-2178000x+1301052500\) |
4.4.0.a.1, 6.2.0.a.1, 12.8.0.c.1 |
$[ ]$ |
108900.u1 |
108900be2 |
108900.u |
108900be |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{7} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$3.860233329$ |
$1$ |
|
$3$ |
$442368$ |
$1.663200$ |
$5726576/405$ |
$1.01278$ |
$3.84093$ |
$[0, 0, 0, -58575, -5112250]$ |
\(y^2=x^3-58575x-5112250\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.c.1, 220.12.0.? |
$[(-154, 506)]$ |
108900.u2 |
108900be1 |
108900.u |
108900be |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.930116664$ |
$1$ |
|
$3$ |
$221184$ |
$1.316628$ |
$16384/225$ |
$0.97508$ |
$3.36625$ |
$[0, 0, 0, 3300, -347875]$ |
\(y^2=x^3+3300x-347875\) |
2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.? |
$[(355, 6750)]$ |
108900.v1 |
108900cj2 |
108900.v |
108900cj |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2612736$ |
$2.440407$ |
$-2527934627152/9$ |
$1.07087$ |
$5.16835$ |
$[0, 0, 0, -9918975, 12023981750]$ |
\(y^2=x^3-9918975x+12023981750\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.2, 24.16.0.b.1, $\ldots$ |
$[ ]$ |
108900.v2 |
108900cj1 |
108900.v |
108900cj |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$120$ |
$32$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$870912$ |
$1.891100$ |
$-4253392/729$ |
$0.97109$ |
$4.04440$ |
$[0, 0, 0, -117975, 17756750]$ |
\(y^2=x^3-117975x+17756750\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 15.8.0-3.a.1.1, 24.16.0.b.2, $\ldots$ |
$[ ]$ |
108900.w1 |
108900ci1 |
108900.w |
108900ci |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{23} \cdot 5^{13} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$180956160$ |
$4.503517$ |
$-1161633816071508736/10089075234375$ |
$1.04782$ |
$6.88171$ |
$[0, 0, 0, -7431072825, -248404892198375]$ |
\(y^2=x^3-7431072825x-248404892198375\) |
30.2.0.a.1 |
$[ ]$ |
108900.x1 |
108900cf2 |
108900.x |
108900cf |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$4.565912519$ |
$1$ |
|
$13$ |
$1474560$ |
$2.201679$ |
$810448/363$ |
$0.86847$ |
$4.29258$ |
$[0, 0, 0, -335775, -35604250]$ |
\(y^2=x^3-335775x-35604250\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(-385, 6050), (-506, 2178)]$ |
108900.x2 |
108900cf1 |
108900.x |
108900cf |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.141478129$ |
$1$ |
|
$25$ |
$737280$ |
$1.855106$ |
$131072/99$ |
$1.36072$ |
$3.89645$ |
$[0, 0, 0, 72600, -4159375]$ |
\(y^2=x^3+72600x-4159375\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(154, 3267), (275, 6050)]$ |
108900.y1 |
108900dq1 |
108900.y |
108900dq |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$2.096983838$ |
$1$ |
|
$2$ |
$32256$ |
$0.368941$ |
$-2816/3$ |
$0.83260$ |
$2.41206$ |
$[0, 0, 0, -165, -1375]$ |
\(y^2=x^3-165x-1375\) |
30.2.0.a.1 |
$[(16, 9)]$ |
108900.z1 |
108900dp1 |
108900.z |
108900dp |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{9} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1.231042596$ |
$1$ |
|
$2$ |
$1774080$ |
$2.372608$ |
$-2816/3$ |
$0.83260$ |
$4.48515$ |
$[0, 0, 0, -499125, 228765625]$ |
\(y^2=x^3-499125x+228765625\) |
30.2.0.a.1 |
$[(0, 15125)]$ |
108900.ba1 |
108900dr2 |
108900.ba |
108900dr |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{9} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$16.92022411$ |
$1$ |
|
$1$ |
$7372800$ |
$3.058132$ |
$271593488/72171$ |
$0.98212$ |
$5.21021$ |
$[0, 0, 0, -11661375, -11271906250]$ |
\(y^2=x^3-11661375x-11271906250\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.e.1, 220.12.0.? |
$[(-105633319/290, 910497889829/290)]$ |
108900.ba2 |
108900dr1 |
108900.ba |
108900dr |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$8.460112055$ |
$1$ |
|
$1$ |
$3686400$ |
$2.711559$ |
$199344128/9801$ |
$1.07166$ |
$4.94449$ |
$[0, 0, 0, -4174500, 3140328125]$ |
\(y^2=x^3-4174500x+3140328125\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.e.1, 220.12.0.? |
$[(54241/10, 32181039/10)]$ |
108900.bb1 |
108900ce2 |
108900.bb |
108900ce |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.746643$ |
$26894628304/9075$ |
$0.90390$ |
$5.19013$ |
$[0, 0, 0, -10790175, -13638424250]$ |
\(y^2=x^3-10790175x-13638424250\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[ ]$ |
108900.bb2 |
108900ce1 |
108900.bb |
108900ce |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{10} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.400066$ |
$-67108864/61875$ |
$1.12182$ |
$4.51648$ |
$[0, 0, 0, -580800, -274352375]$ |
\(y^2=x^3-580800x-274352375\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[ ]$ |
108900.bc1 |
108900cg1 |
108900.bc |
108900cg |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$40$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1774080$ |
$2.277534$ |
$176/9$ |
$0.90237$ |
$4.36423$ |
$[0, 0, 0, 99825, 113467750]$ |
\(y^2=x^3+99825x+113467750\) |
4.2.0.a.1, 40.4.0-4.a.1.1 |
$[ ]$ |