| 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 |
| 87120.a1 |
87120ey2 |
87120.a |
87120ey |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{33} \cdot 3^{9} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$38320128$ |
$3.711582$ |
$134766108430924201/283115520$ |
$1.04156$ |
$6.46458$ |
$[0, 0, 0, -920510283, -10749550191622]$ |
\(y^2=x^3-920510283x-10749550191622\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
| 87120.a2 |
87120ey1 |
87120.a |
87120ey |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{19} \cdot 3^{15} \cdot 5^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12773376$ |
$3.162277$ |
$571305535801/314928000$ |
$1.03980$ |
$5.37702$ |
$[0, 0, 0, -14897883, -4821310582]$ |
\(y^2=x^3-14897883x-4821310582\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
| 87120.b1 |
87120bl1 |
87120.b |
87120bl |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{29} \cdot 5 \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$24.84902160$ |
$1$ |
|
$0$ |
$27202560$ |
$3.702644$ |
$218902267299584/470715894135$ |
$1.06663$ |
$5.92191$ |
$[0, 0, 0, 84288237, 490848499933]$ |
\(y^2=x^3+84288237x+490848499933\) |
30.2.0.a.1 |
$[(87646104972644/49127, 850420225039035621537/49127)]$ |
| 87120.c1 |
87120bm4 |
87120.c |
87120bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5 \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$7.177687605$ |
$1$ |
|
$1$ |
$1966080$ |
$2.281166$ |
$186779563204/360855$ |
$0.93518$ |
$4.73525$ |
$[0, 0, 0, -1307163, -574270598]$ |
\(y^2=x^3-1307163x-574270598\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 88.12.0.?, $\ldots$ |
$[(24809/4, 2148363/4)]$ |
| 87120.c2 |
87120bm3 |
87120.c |
87120bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.794421901$ |
$1$ |
|
$7$ |
$1966080$ |
$2.281166$ |
$108108036004/658845$ |
$0.93063$ |
$4.68718$ |
$[0, 0, 0, -1089363, 435319522]$ |
\(y^2=x^3-1089363x+435319522\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.3, $\ldots$ |
$[(539, 2178)]$ |
| 87120.c3 |
87120bm2 |
87120.c |
87120bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$3.588843802$ |
$1$ |
|
$7$ |
$983040$ |
$1.934593$ |
$436334416/245025$ |
$0.93521$ |
$4.08070$ |
$[0, 0, 0, -109263, -2393138]$ |
\(y^2=x^3-109263x-2393138\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.b.1, 60.24.0-20.b.1.3, $\ldots$ |
$[(-198, 3388)]$ |
| 87120.c4 |
87120bm1 |
87120.c |
87120bm |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.794421901$ |
$1$ |
|
$3$ |
$491520$ |
$1.588020$ |
$103737344/61875$ |
$0.96703$ |
$3.71067$ |
$[0, 0, 0, 26862, -296813]$ |
\(y^2=x^3+26862x-296813\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 22.6.0.a.1, 40.12.0.z.1, $\ldots$ |
$[(539, 13068)]$ |
| 87120.d1 |
87120ev4 |
87120.d |
87120ev |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$8.971798483$ |
$1$ |
|
$11$ |
$5898240$ |
$2.877396$ |
$455129268177961/4392300$ |
$0.99488$ |
$5.54270$ |
$[0, 0, 0, -27922323, -56789992622]$ |
\(y^2=x^3-27922323x-56789992622\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0.h.1, 24.24.0-12.h.1.4, $\ldots$ |
$[(12914, 1317690), (6479, 185130)]$ |
| 87120.d2 |
87120ev2 |
87120.d |
87120ev |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.2 |
2Cs |
$132$ |
$48$ |
$0$ |
$8.971798483$ |
$1$ |
|
$21$ |
$2949120$ |
$2.530819$ |
$119168121961/10890000$ |
$0.94576$ |
$4.81762$ |
$[0, 0, 0, -1786323, -843271022]$ |
\(y^2=x^3-1786323x-843271022\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 12.24.0-12.a.1.4, 44.24.0-44.b.1.4, 132.48.0.? |
$[(-871, 7200), (-921, 4550)]$ |
| 87120.d3 |
87120ev1 |
87120.d |
87120ev |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{20} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$2.242949620$ |
$1$ |
|
$19$ |
$1474560$ |
$2.184246$ |
$1263214441/211200$ |
$0.90751$ |
$4.41789$ |
$[0, 0, 0, -392403, 79782802]$ |
\(y^2=x^3-392403x+79782802\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.5, $\ldots$ |
$[(671, 10890), (231, 1210)]$ |
| 87120.d4 |
87120ev3 |
87120.d |
87120ev |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.14 |
2B |
$264$ |
$48$ |
$0$ |
$8.971798483$ |
$1$ |
|
$13$ |
$5898240$ |
$2.877396$ |
$179310732119/1392187500$ |
$0.99500$ |
$5.07499$ |
$[0, 0, 0, 2046957, -3971994158]$ |
\(y^2=x^3+2046957x-3971994158\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.1, 12.12.0-4.c.1.2, 22.6.0.a.1, $\ldots$ |
$[(1529, 52272), (1193, 12960)]$ |
| 87120.e1 |
87120bk4 |
87120.e |
87120bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$2640$ |
$192$ |
$3$ |
$0.956255126$ |
$1$ |
|
$7$ |
$327680$ |
$1.546040$ |
$132304644/5$ |
$1.13632$ |
$4.09767$ |
$[0, 0, 0, -116523, 15309162]$ |
\(y^2=x^3-116523x+15309162\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(99, 2178)]$ |
| 87120.e2 |
87120bk2 |
87120.e |
87120bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1320$ |
$192$ |
$3$ |
$1.912510253$ |
$1$ |
|
$9$ |
$163840$ |
$1.199467$ |
$148176/25$ |
$1.09175$ |
$3.37848$ |
$[0, 0, 0, -7623, 215622]$ |
\(y^2=x^3-7623x+215622\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0.b.1, 40.96.3.bk.1, $\ldots$ |
$[(22, 242)]$ |
| 87120.e3 |
87120bk1 |
87120.e |
87120bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$2640$ |
$192$ |
$3$ |
$3.825020506$ |
$1$ |
|
$3$ |
$81920$ |
$0.852893$ |
$55296/5$ |
$1.01898$ |
$3.04808$ |
$[0, 0, 0, -2178, -35937]$ |
\(y^2=x^3-2178x-35937\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 10.6.0.a.1, 16.24.0.i.1, $\ldots$ |
$[(111, 1044)]$ |
| 87120.e4 |
87120bk3 |
87120.e |
87120bk |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$2640$ |
$192$ |
$3$ |
$3.825020506$ |
$1$ |
|
$3$ |
$327680$ |
$1.546040$ |
$237276/625$ |
$1.04671$ |
$3.65317$ |
$[0, 0, 0, 14157, 1221858]$ |
\(y^2=x^3+14157x+1221858\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.1.dk.1, 80.96.3.?, 132.48.0.?, $\ldots$ |
$[(418, 8954)]$ |
| 87120.f1 |
87120ew4 |
87120.f |
87120ew |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2488320$ |
$2.462704$ |
$154639330142416/33275$ |
$0.97344$ |
$5.20405$ |
$[0, 0, 0, -7732263, 8275761362]$ |
\(y^2=x^3-7732263x+8275761362\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[]$ |
| 87120.f2 |
87120ew3 |
87120.f |
87120ew |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1244160$ |
$2.116131$ |
$610462990336/8857805$ |
$1.02612$ |
$4.47375$ |
$[0, 0, 0, -484968, 128352323]$ |
\(y^2=x^3-484968x+128352323\) |
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.1.11, $\ldots$ |
$[]$ |
| 87120.f3 |
87120ew2 |
87120.f |
87120ew |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$1.913399$ |
$436334416/171875$ |
$0.87819$ |
$4.08070$ |
$[0, 0, 0, -109263, 7855562]$ |
\(y^2=x^3-109263x+7855562\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[]$ |
| 87120.f4 |
87120ew1 |
87120.f |
87120ew |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$660$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$1.566824$ |
$643956736/15125$ |
$0.96705$ |
$3.87117$ |
$[0, 0, 0, -49368, -4135417]$ |
\(y^2=x^3-49368x-4135417\) |
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.1.5, $\ldots$ |
$[]$ |
| 87120.g1 |
87120dd3 |
87120.g |
87120dd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$18.09145370$ |
$1$ |
|
$1$ |
$14929920$ |
$3.313995$ |
$5066026756449723/11000000$ |
$1.06053$ |
$6.04428$ |
$[0, 0, 0, -187032483, -984516180318]$ |
\(y^2=x^3-187032483x-984516180318\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 24.48.0-24.cc.1.10, $\ldots$ |
$[(-19657970801/1577, 959368354750/1577)]$ |
| 87120.g2 |
87120dd4 |
87120.g |
87120dd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{12} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$36.18290740$ |
$1$ |
|
$1$ |
$29859840$ |
$3.660572$ |
$-4898016158612283/236328125000$ |
$1.02528$ |
$6.04836$ |
$[0, 0, 0, -184941603, -1007603259102]$ |
\(y^2=x^3-184941603x-1007603259102\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 24.48.0-24.cb.1.16, $\ldots$ |
$[(1957283233051272423/822257, 2738266495849644449346566910/822257)]$ |
| 87120.g3 |
87120dd1 |
87120.g |
87120dd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{30} \cdot 3^{3} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$6.030484566$ |
$1$ |
|
$3$ |
$4976640$ |
$2.764690$ |
$15781142246787/8722841600$ |
$1.10012$ |
$4.95742$ |
$[0, 0, 0, -3035043, -431086942]$ |
\(y^2=x^3-3035043x-431086942\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 24.48.0-24.cc.1.12, $\ldots$ |
$[(-481, 30290)]$ |
| 87120.g4 |
87120dd2 |
87120.g |
87120dd |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{4} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$12.06096913$ |
$1$ |
|
$1$ |
$9953280$ |
$3.111263$ |
$935355271080573/566899520000$ |
$1.07091$ |
$5.31628$ |
$[0, 0, 0, 11833437, -3407756638]$ |
\(y^2=x^3+11833437x-3407756638\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 24.48.0-24.cb.1.12, $\ldots$ |
$[(1405559/13, 1798725050/13)]$ |
| 87120.h1 |
87120bn4 |
87120.h |
87120bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{22} \cdot 5^{3} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$5.165574598$ |
$1$ |
|
$3$ |
$11796480$ |
$3.189434$ |
$3382175663521924/59189241375$ |
$1.07877$ |
$5.59715$ |
$[0, 0, 0, -34325643, 76226878442]$ |
\(y^2=x^3-34325643x+76226878442\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 88.12.0.?, $\ldots$ |
$[(-2101, 372922)]$ |
| 87120.h2 |
87120bn2 |
87120.h |
87120bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{6} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$10.33114919$ |
$1$ |
|
$3$ |
$5898240$ |
$2.842857$ |
$28071778927696/12404390625$ |
$1.08404$ |
$5.05405$ |
$[0, 0, 0, -4378143, -1714485058]$ |
\(y^2=x^3-4378143x-1714485058\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.b.1, 60.24.0-20.b.1.3, $\ldots$ |
$[(1473781/13, 1734512616/13)]$ |
| 87120.h3 |
87120bn1 |
87120.h |
87120bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$20.66229839$ |
$1$ |
|
$1$ |
$2949120$ |
$2.496284$ |
$275361373935616/148240125$ |
$1.00710$ |
$5.01104$ |
$[0, 0, 0, -3719298, -2759544997]$ |
\(y^2=x^3-3719298x-2759544997\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 20.12.0.g.1, 24.12.0-4.c.1.3, $\ldots$ |
$[(1977939571/871, 47951414511876/871)]$ |
| 87120.h4 |
87120bn3 |
87120.h |
87120bn |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{12} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$5.165574598$ |
$1$ |
|
$3$ |
$11796480$ |
$3.189434$ |
$283811208976796/217529296875$ |
$1.01132$ |
$5.37931$ |
$[0, 0, 0, 15027837, -12772012462]$ |
\(y^2=x^3+15027837x-12772012462\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 22.6.0.a.1, 40.12.0.z.1, $\ldots$ |
$[(1321, 96876)]$ |
| 87120.i1 |
87120h1 |
87120.i |
87120h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$608256$ |
$1.741047$ |
$76032/125$ |
$0.83260$ |
$3.84108$ |
$[0, 0, 0, 35937, -3557763]$ |
\(y^2=x^3+35937x-3557763\) |
30.2.0.a.1 |
$[]$ |
| 87120.j1 |
87120bg1 |
87120.j |
87120bg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.362692870$ |
$1$ |
|
$6$ |
$473088$ |
$1.701216$ |
$29282/15$ |
$1.00830$ |
$3.84035$ |
$[0, 0, 0, -43923, 1200562]$ |
\(y^2=x^3-43923x+1200562\) |
120.2.0.? |
$[(-121, 2178)]$ |
| 87120.k1 |
87120es1 |
87120.k |
87120es |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{5} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1182720$ |
$2.200562$ |
$-1459161/3125$ |
$0.94232$ |
$4.38097$ |
$[0, 0, 0, -203643, -76689558]$ |
\(y^2=x^3-203643x-76689558\) |
20.2.0.a.1 |
$[]$ |
| 87120.l1 |
87120dc1 |
87120.l |
87120dc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{37} \cdot 3^{3} \cdot 5 \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$6.421788170$ |
$1$ |
|
$0$ |
$5068800$ |
$2.958385$ |
$14934427706187/167772160$ |
$1.02328$ |
$5.37417$ |
$[0, 0, 0, -14738163, -21565343822]$ |
\(y^2=x^3-14738163x-21565343822\) |
120.2.0.? |
$[(-274623/11, 18513920/11)]$ |
| 87120.m1 |
87120dw1 |
87120.m |
87120dw |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{3} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$1320$ |
$24$ |
$1$ |
$9.351738282$ |
$1$ |
|
$0$ |
$3421440$ |
$2.702343$ |
$-616295051/64000$ |
$1.06545$ |
$5.00172$ |
$[0, 0, 0, -3398043, -2618367158]$ |
\(y^2=x^3-3398043x-2618367158\) |
3.6.0.b.1, 33.12.0.a.1, 120.12.0.?, 440.2.0.?, 1320.24.1.? |
$[(5993493/43, 11363034496/43)]$ |
| 87120.n1 |
87120eq1 |
87120.n |
87120eq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$0.691335$ |
$-14641/80$ |
$1.01441$ |
$2.78176$ |
$[0, 0, 0, -363, 8602]$ |
\(y^2=x^3-363x+8602\) |
20.2.0.a.1 |
$[]$ |
| 87120.o1 |
87120db1 |
87120.o |
87120db |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.889072007$ |
$1$ |
|
$2$ |
$422400$ |
$1.626171$ |
$-1216512/25$ |
$1.13667$ |
$3.94224$ |
$[0, 0, 0, -63888, 6324912]$ |
\(y^2=x^3-63888x+6324912\) |
6.2.0.a.1 |
$[(121, 605)]$ |
| 87120.p1 |
87120er1 |
87120.p |
87120er |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4257792$ |
$2.855907$ |
$53189206081/4218750$ |
$0.96825$ |
$5.16831$ |
$[0, 0, 0, -6752163, 6273404962]$ |
\(y^2=x^3-6752163x+6273404962\) |
120.2.0.? |
$[]$ |
| 87120.q1 |
87120et1 |
87120.q |
87120et |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{29} \cdot 3^{11} \cdot 5^{7} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120637440$ |
$4.351250$ |
$21571025211960961/2488320000000$ |
$1.06150$ |
$6.72512$ |
$[0, 0, 0, -2472030363, -42330634854838]$ |
\(y^2=x^3-2472030363x-42330634854838\) |
120.2.0.? |
$[]$ |
| 87120.r1 |
87120bf1 |
87120.r |
87120bf |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{11} \cdot 3^{13} \cdot 5 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.203904277$ |
$1$ |
|
$2$ |
$215040$ |
$1.368345$ |
$67208610722/10935$ |
$0.96190$ |
$3.86312$ |
$[0, 0, 0, -47883, -4032358]$ |
\(y^2=x^3-47883x-4032358\) |
120.2.0.? |
$[(-127, 20)]$ |
| 87120.s1 |
87120eu1 |
87120.s |
87120eu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1520640$ |
$2.297379$ |
$-7929856/675$ |
$1.01135$ |
$4.58365$ |
$[0, 0, 0, -702768, 242864908]$ |
\(y^2=x^3-702768x+242864908\) |
6.2.0.a.1 |
$[]$ |
| 87120.t1 |
87120r1 |
87120.t |
87120r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.365854$ |
$104795188976/1875$ |
$0.96446$ |
$3.93017$ |
$[0, 0, 0, -61743, -5905042]$ |
\(y^2=x^3-61743x-5905042\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
| 87120.t2 |
87120r2 |
87120.t |
87120r |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.712427$ |
$-23758298924/3515625$ |
$0.96866$ |
$3.94159$ |
$[0, 0, 0, -59763, -6301438]$ |
\(y^2=x^3-59763x-6301438\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
| 87120.u1 |
87120dt1 |
87120.u |
87120dt |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{11} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$4.179482407$ |
$1$ |
|
$5$ |
$4055040$ |
$2.956078$ |
$217190179331/97200$ |
$0.99055$ |
$5.50280$ |
$[0, 0, 0, -24001923, -45242769022]$ |
\(y^2=x^3-24001923x-45242769022\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[(-2801, 3330)]$ |
| 87120.u2 |
87120dt2 |
87120.u |
87120dt |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{16} \cdot 5^{4} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$8.358964815$ |
$1$ |
|
$3$ |
$8110080$ |
$3.302654$ |
$-128864147651/147622500$ |
$1.00791$ |
$5.55288$ |
$[0, 0, 0, -20168643, -60177994558]$ |
\(y^2=x^3-20168643x-60177994558\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[(39791, 7882850)]$ |
| 87120.v1 |
87120bc1 |
87120.v |
87120bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$6.258665390$ |
$1$ |
|
$2$ |
$46080$ |
$0.755386$ |
$-30976/375$ |
$0.88840$ |
$2.84695$ |
$[0, 0, 0, -363, -12463]$ |
\(y^2=x^3-363x-12463\) |
30.2.0.a.1 |
$[(1552, 61137)]$ |
| 87120.w1 |
87120cs2 |
87120.w |
87120cs |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{8} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12165120$ |
$3.472286$ |
$685429074513/12500000$ |
$1.12726$ |
$5.89357$ |
$[0, 0, 0, -105618843, 411156438858]$ |
\(y^2=x^3-105618843x+411156438858\) |
2.3.0.a.1, 8.6.0.f.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 87120.w2 |
87120cs1 |
87120.w |
87120cs |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{22} \cdot 3^{9} \cdot 5^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6082560$ |
$3.125713$ |
$1469878353/640000$ |
$1.15290$ |
$5.35337$ |
$[0, 0, 0, -13620123, -9627306678]$ |
\(y^2=x^3-13620123x-9627306678\) |
2.3.0.a.1, 8.6.0.f.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 87120.x1 |
87120ej1 |
87120.x |
87120ej |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{23} \cdot 5^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30159360$ |
$3.698799$ |
$-1161633816071508736/10089075234375$ |
$1.04782$ |
$6.16777$ |
$[0, 0, 0, -297242913, 1987239137587]$ |
\(y^2=x^3-297242913x+1987239137587\) |
30.2.0.a.1 |
$[]$ |
| 87120.y1 |
87120du2 |
87120.y |
87120du |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$2.939898511$ |
$1$ |
|
$3$ |
$73728$ |
$0.858482$ |
$5726576/405$ |
$1.01278$ |
$3.06734$ |
$[0, 0, 0, -2343, 40898]$ |
\(y^2=x^3-2343x+40898\) |
2.3.0.a.1, 20.6.0.e.1, 44.6.0.c.1, 220.12.0.? |
$[(-22, 286)]$ |
| 87120.y2 |
87120du1 |
87120.y |
87120du |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{4} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1.469949255$ |
$1$ |
|
$3$ |
$36864$ |
$0.511909$ |
$16384/225$ |
$0.97508$ |
$2.58335$ |
$[0, 0, 0, 132, 2783]$ |
\(y^2=x^3+132x+2783\) |
2.3.0.a.1, 20.6.0.e.1, 22.6.0.a.1, 220.12.0.? |
$[(1, 54)]$ |
| 87120.z1 |
87120d1 |
87120.z |
87120d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$6$ |
$0$ |
$1.901517811$ |
$1$ |
|
$10$ |
$138240$ |
$1.023134$ |
$3345408/15625$ |
$1.15454$ |
$3.11310$ |
$[0, 0, 0, 1452, -56628]$ |
\(y^2=x^3+1452x-56628\) |
6.6.0.b.1 |
$[(121, 1375), (33, 165)]$ |
| 87120.ba1 |
87120cx2 |
87120.ba |
87120cx |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{3} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$2.140517516$ |
$1$ |
|
$2$ |
$165888$ |
$1.185650$ |
$2037123/1000$ |
$0.91179$ |
$3.29916$ |
$[0, 0, 0, -5643, -63558]$ |
\(y^2=x^3-5643x-63558\) |
3.4.0.a.1, 120.8.0.?, 132.8.0.?, 1320.16.0.? |
$[(-57, 270)]$ |
