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 |
348480.a1 |
348480a1 |
348480.a |
348480a |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{19} \cdot 3^{6} \cdot 5 \cdot 11^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$2.442489652$ |
$1$ |
|
$10$ |
$645120$ |
$1.066996$ |
$9261/10$ |
$0.83428$ |
$2.77366$ |
$[0, 0, 0, 2772, 52272]$ |
\(y^2=x^3+2772x+52272\) |
440.2.0.? |
$[(22, 352), (-11, 143)]$ |
348480.b1 |
348480b1 |
348480.b |
348480b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{5} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$5.874808761$ |
$1$ |
|
$2$ |
$35143680$ |
$2.994610$ |
$28471058/9375$ |
$1.05858$ |
$4.66397$ |
$[0, 0, 0, -8608908, 6382773232]$ |
\(y^2=x^3-8608908x+6382773232\) |
120.2.0.? |
$[(452, 50832)]$ |
348480.c1 |
348480c1 |
348480.c |
348480c |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{5} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3194880$ |
$1.795662$ |
$28471058/9375$ |
$1.05858$ |
$3.53655$ |
$[0, 0, 0, -71148, 4795472]$ |
\(y^2=x^3-71148x+4795472\) |
120.2.0.? |
$[]$ |
348480.d1 |
348480d1 |
348480.d |
348480d |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{25} \cdot 3^{6} \cdot 5 \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$3.816681235$ |
$1$ |
|
$2$ |
$19353600$ |
$2.740784$ |
$-76711450249/851840$ |
$0.93960$ |
$4.58714$ |
$[0, 0, 0, -6169548, 5954638448]$ |
\(y^2=x^3-6169548x+5954638448\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 264.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(-979, 105149)]$ |
348480.d2 |
348480d2 |
348480.d |
348480d |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{39} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$11.45004370$ |
$1$ |
|
$0$ |
$58060800$ |
$3.290089$ |
$2882081488391/2883584000$ |
$0.98944$ |
$4.86981$ |
$[0, 0, 0, 20663412, 30866358512]$ |
\(y^2=x^3+20663412x+30866358512\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 264.8.0.?, 440.2.0.?, 1320.16.0.? |
$[(623117/17, 1436096365/17)]$ |
348480.e1 |
348480e1 |
348480.e |
348480e |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{19} \cdot 3^{6} \cdot 5 \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$8.836967495$ |
$1$ |
|
$0$ |
$7096320$ |
$2.265945$ |
$9261/10$ |
$0.83428$ |
$3.90108$ |
$[0, 0, 0, 335412, 69574032]$ |
\(y^2=x^3+335412x+69574032\) |
440.2.0.? |
$[(391072/17, 269154820/17)]$ |
348480.f1 |
348480f1 |
348480.f |
348480f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$4.520448767$ |
$1$ |
|
$2$ |
$1622016$ |
$1.538315$ |
$76032/125$ |
$0.83260$ |
$3.23318$ |
$[0, 0, 0, 15972, 1054152]$ |
\(y^2=x^3+15972x+1054152\) |
30.2.0.a.1 |
$[(-51, 327)]$ |
348480.g1 |
348480g4 |
348480.g |
348480g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{10} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.471318375$ |
$1$ |
|
$3$ |
$5898240$ |
$2.164230$ |
$546718898/405$ |
$0.99169$ |
$4.14392$ |
$[0, 0, 0, -942348, -351873808]$ |
\(y^2=x^3-942348x-351873808\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 88.12.0.?, $\ldots$ |
$[(1364, 30008)]$ |
348480.g2 |
348480g3 |
348480.g |
348480g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{4} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.117829593$ |
$1$ |
|
$7$ |
$5898240$ |
$2.164230$ |
$136835858/1875$ |
$0.97925$ |
$4.03538$ |
$[0, 0, 0, -593868, 174052208]$ |
\(y^2=x^3-593868x+174052208\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 88.12.0.?, $\ldots$ |
$[(334, 3600)]$ |
348480.g3 |
348480g2 |
348480.g |
348480g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1320$ |
$48$ |
$0$ |
$2.235659187$ |
$1$ |
|
$9$ |
$2949120$ |
$1.817657$ |
$470596/225$ |
$1.13245$ |
$3.53655$ |
$[0, 0, 0, -71148, -3045328]$ |
\(y^2=x^3-71148x-3045328\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 60.12.0.b.1, 88.12.0.?, $\ldots$ |
$[(-98, 1728)]$ |
348480.g4 |
348480g1 |
348480.g |
348480g |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.471318375$ |
$1$ |
|
$3$ |
$1474560$ |
$1.471083$ |
$21296/15$ |
$0.85611$ |
$3.18535$ |
$[0, 0, 0, 15972, -362032]$ |
\(y^2=x^3+15972x-362032\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[(278, 5056)]$ |
348480.h1 |
348480h3 |
348480.h |
348480h |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{36} \cdot 3^{9} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$5.595786663$ |
$1$ |
|
$3$ |
$119439360$ |
$3.660572$ |
$15781142246787/8722841600$ |
$1.10012$ |
$5.26131$ |
$[0, 0, 0, -109261548, 93114779472]$ |
\(y^2=x^3-109261548x+93114779472\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 24.48.0-24.cc.1.8, $\ldots$ |
$[(30261, 4949505)]$ |
348480.h2 |
348480h1 |
348480.h |
348480h |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{6} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1.865262221$ |
$1$ |
|
$5$ |
$39813120$ |
$3.111263$ |
$5066026756449723/11000000$ |
$1.06053$ |
$5.19704$ |
$[0, 0, 0, -83125548, 291708497872]$ |
\(y^2=x^3-83125548x+291708497872\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 24.48.0-24.cc.1.6, $\ldots$ |
$[(4746, 64000)]$ |
348480.h3 |
348480h2 |
348480.h |
348480h |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{12} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$3.730524442$ |
$1$ |
|
$5$ |
$79626240$ |
$3.457840$ |
$-4898016158612283/236328125000$ |
$1.02528$ |
$5.20067$ |
$[0, 0, 0, -82196268, 298549113808]$ |
\(y^2=x^3-82196268x+298549113808\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.12, 24.48.0-24.cb.1.2, $\ldots$ |
$[(5109, 109375)]$ |
348480.h4 |
348480h4 |
348480.h |
348480h |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{27} \cdot 3^{9} \cdot 5^{4} \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$11.19157332$ |
$1$ |
|
$1$ |
$238878720$ |
$4.007141$ |
$935355271080573/566899520000$ |
$1.07091$ |
$5.58119$ |
$[0, 0, 0, 426003732, 736075433808]$ |
\(y^2=x^3+426003732x+736075433808\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.6, 24.48.0-24.cb.1.6, $\ldots$ |
$[(239581/3, 150184475/3)]$ |
348480.i1 |
348480i4 |
348480.i |
348480i |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 11^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$26542080$ |
$2.947433$ |
$1628514404944/664335375$ |
$0.96334$ |
$4.60781$ |
$[0, 0, 0, -6779388, 3690660688]$ |
\(y^2=x^3-6779388x+3690660688\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 44.6.0.c.1, $\ldots$ |
$[]$ |
348480.i2 |
348480i2 |
348480.i |
348480i |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.398129$ |
$158792223184/16335$ |
$0.92143$ |
$4.42540$ |
$[0, 0, 0, -3120348, -2121358448]$ |
\(y^2=x^3-3120348x-2121358448\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.15, 44.6.0.c.1, $\ldots$ |
$[]$ |
348480.i3 |
348480i1 |
348480.i |
348480i |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.051556$ |
$-488095744/200475$ |
$0.94024$ |
$3.79685$ |
$[0, 0, 0, -180048, -38449928]$ |
\(y^2=x^3-180048x-38449928\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.4, $\ldots$ |
$[]$ |
348480.i4 |
348480i3 |
348480.i |
348480i |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$13271040$ |
$2.600861$ |
$223673040896/187171875$ |
$1.02215$ |
$4.23498$ |
$[0, 0, 0, 1388112, 420393688]$ |
\(y^2=x^3+1388112x+420393688\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 24.24.0-6.a.1.12, $\ldots$ |
$[]$ |
348480.j1 |
348480j2 |
348480.j |
348480j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$3.437697160$ |
$1$ |
|
$15$ |
$1179648$ |
$1.391989$ |
$26962544/5625$ |
$0.87828$ |
$3.18144$ |
$[0, 0, 0, -15708, -605968]$ |
\(y^2=x^3-15708x-605968\) |
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, $\ldots$ |
$[(-94, 200), (-62, 360)]$ |
348480.j2 |
348480j1 |
348480.j |
348480j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$3.437697160$ |
$1$ |
|
$13$ |
$589824$ |
$1.045416$ |
$1048576/2025$ |
$1.10454$ |
$2.77625$ |
$[0, 0, 0, 2112, -57112]$ |
\(y^2=x^3+2112x-57112\) |
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, $\ldots$ |
$[(49, 405), (454, 9720)]$ |
348480.k1 |
348480k1 |
348480.k |
348480k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{2} \cdot 11^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$1.469645346$ |
$1$ |
|
$21$ |
$2457600$ |
$1.726973$ |
$76136652/275$ |
$0.98136$ |
$3.67686$ |
$[0, 0, 0, -129228, 17824752]$ |
\(y^2=x^3-129228x+17824752\) |
2.3.0.a.1, 24.6.0.c.1, 66.6.0.a.1, 88.6.0.?, 264.12.0.? |
$[(22, 3872), (-99, 5445)]$ |
348480.k2 |
348480k2 |
348480.k |
348480k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 11^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$264$ |
$12$ |
$0$ |
$5.878581385$ |
$1$ |
|
$11$ |
$4915200$ |
$2.073544$ |
$-6353046/75625$ |
$1.24734$ |
$3.77723$ |
$[0, 0, 0, -71148, 33924528]$ |
\(y^2=x^3-71148x+33924528\) |
2.3.0.a.1, 24.6.0.b.1, 88.6.0.?, 132.6.0.?, 264.12.0.? |
$[(88, 5324), (792, 21780)]$ |
348480.l1 |
348480l2 |
348480.l |
348480l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$440$ |
$48$ |
$1$ |
$5.833059678$ |
$1$ |
|
$1$ |
$12976128$ |
$2.534061$ |
$1016339184/25$ |
$0.96659$ |
$4.59327$ |
$[0, 0, 0, -6372828, 6192088848]$ |
\(y^2=x^3-6372828x+6192088848\) |
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, $\ldots$ |
$[(5889/2, 7263/2)]$ |
348480.l2 |
348480l1 |
348480.l |
348480l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$440$ |
$48$ |
$1$ |
$2.916529839$ |
$1$ |
|
$3$ |
$6488064$ |
$2.187489$ |
$-3538944/625$ |
$1.36072$ |
$3.95334$ |
$[0, 0, 0, -383328, 104361048]$ |
\(y^2=x^3-383328x+104361048\) |
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, $\ldots$ |
$[(474, 5400)]$ |
348480.m1 |
348480m1 |
348480.m |
348480m |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5 \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$1.359877$ |
$-212464384/1215$ |
$0.92428$ |
$3.31461$ |
$[0, 0, 0, -27588, 1772408]$ |
\(y^2=x^3-27588x+1772408\) |
30.2.0.a.1 |
$[]$ |
348480.n1 |
348480n1 |
348480.n |
348480n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$7.557473859$ |
$1$ |
|
$1$ |
$3244032$ |
$1.940071$ |
$702464/15$ |
$0.83223$ |
$3.80576$ |
$[0, 0, 0, -223608, -39940648]$ |
\(y^2=x^3-223608x-39940648\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.d.1, 330.6.0.?, 660.12.0.? |
$[(4657/2, 285975/2)]$ |
348480.n2 |
348480n2 |
348480.n |
348480n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$3.778736929$ |
$1$ |
|
$5$ |
$6488064$ |
$2.286644$ |
$16/225$ |
$1.04653$ |
$3.97667$ |
$[0, 0, 0, 15972, -121110352]$ |
\(y^2=x^3+15972x-121110352\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.d.1, 660.12.0.? |
$[(664, 13500)]$ |
348480.o1 |
348480o1 |
348480.o |
348480o |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1351680$ |
$1.633310$ |
$2816/15$ |
$0.68667$ |
$3.35028$ |
$[0, 0, 0, 15972, -2225432]$ |
\(y^2=x^3+15972x-2225432\) |
30.2.0.a.1 |
$[]$ |
348480.p1 |
348480p1 |
348480.p |
348480p |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$30.59305047$ |
$1$ |
|
$1$ |
$16220160$ |
$2.758991$ |
$1546408574144/455625$ |
$1.16637$ |
$4.73293$ |
$[0, 0, 0, -11543763, -15092411312]$ |
\(y^2=x^3-11543763x-15092411312\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.bv.1, 44.12.0.l.1, $\ldots$ |
$[(207216320638721/205508, 1869228089107008314625/205508)]$ |
348480.p2 |
348480p2 |
348480.p |
348480p |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{2} \cdot 11^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$15.29652523$ |
$1$ |
|
$1$ |
$32440320$ |
$3.105564$ |
$-15926924096/13286025$ |
$1.06016$ |
$4.77022$ |
$[0, 0, 0, -10046388, -19150896512]$ |
\(y^2=x^3-10046388x-19150896512\) |
2.3.0.a.1, 4.6.0.e.1, 22.6.0.a.1, 24.12.0.bq.1, 40.12.0.bs.1, $\ldots$ |
$[(45065936/83, 252543457800/83)]$ |
348480.q1 |
348480q1 |
348480.q |
348480q |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$11.23735955$ |
$1$ |
|
$1$ |
$1474560$ |
$1.560043$ |
$1546408574144/455625$ |
$1.16637$ |
$3.60552$ |
$[0, 0, 0, -95403, -11339152]$ |
\(y^2=x^3-95403x-11339152\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.bv.1, 44.12.0.l.1, $\ldots$ |
$[(793489/44, 365492025/44)]$ |
348480.q2 |
348480q2 |
348480.q |
348480q |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{12} \cdot 3^{18} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1320$ |
$48$ |
$1$ |
$5.618679776$ |
$1$ |
|
$1$ |
$2949120$ |
$1.906616$ |
$-15926924096/13286025$ |
$1.06016$ |
$3.64280$ |
$[0, 0, 0, -83028, -14388352]$ |
\(y^2=x^3-83028x-14388352\) |
2.3.0.a.1, 4.6.0.e.1, 22.6.0.a.1, 24.12.0.bq.1, 40.12.0.bs.1, $\ldots$ |
$[(5401/2, 386595/2)]$ |
348480.r1 |
348480r1 |
348480.r |
348480r |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$3.845943220$ |
$1$ |
|
$2$ |
$122880$ |
$0.434363$ |
$2816/15$ |
$0.68667$ |
$2.22286$ |
$[0, 0, 0, 132, -1672]$ |
\(y^2=x^3+132x-1672\) |
30.2.0.a.1 |
$[(133, 1539)]$ |
348480.s1 |
348480s4 |
348480.s |
348480s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5^{8} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.110 |
2B |
$264$ |
$48$ |
$0$ |
$2.287072494$ |
$1$ |
|
$3$ |
$23592960$ |
$2.849178$ |
$228027144098/12890625$ |
$0.94421$ |
$4.61670$ |
$[0, 0, 0, -7040748, -6830542928]$ |
\(y^2=x^3-7040748x-6830542928\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 132.12.0.?, 264.48.0.? |
$[(-1276, 8712)]$ |
348480.s2 |
348480s2 |
348480.s |
348480s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{4} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.8 |
2Cs |
$264$ |
$48$ |
$0$ |
$4.574144989$ |
$1$ |
|
$7$ |
$11796480$ |
$2.502605$ |
$2810381476/680625$ |
$0.90521$ |
$4.21790$ |
$[0, 0, 0, -1290828, 430456048]$ |
\(y^2=x^3-1290828x+430456048\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 132.24.0.?, 264.48.0.? |
$[(324, 6800)]$ |
348480.s3 |
348480s1 |
348480.s |
348480s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.114 |
2B |
$264$ |
$48$ |
$0$ |
$2.287072494$ |
$1$ |
|
$5$ |
$5898240$ |
$2.156033$ |
$9115564624/825$ |
$0.89208$ |
$4.20147$ |
$[0, 0, 0, -1203708, 508271632]$ |
\(y^2=x^3-1203708x+508271632\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 66.6.0.a.1, 132.12.0.?, $\ldots$ |
$[(396, 9680)]$ |
348480.s4 |
348480s3 |
348480.s |
348480s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{17} \cdot 3^{10} \cdot 5^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.118 |
2B |
$264$ |
$48$ |
$0$ |
$2.287072494$ |
$1$ |
|
$7$ |
$23592960$ |
$2.849178$ |
$18814587262/29648025$ |
$0.95073$ |
$4.46384$ |
$[0, 0, 0, 3065172, 2711257648]$ |
\(y^2=x^3+3065172x+2711257648\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 132.12.0.?, 264.48.0.? |
$[(-682, 17424)]$ |
348480.t1 |
348480t4 |
348480.t |
348480t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{25} \cdot 3^{11} \cdot 5^{16} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.110 |
2B |
$264$ |
$48$ |
$0$ |
$24.14097314$ |
$1$ |
|
$1$ |
$1651507200$ |
$5.044037$ |
$680995599504466943307169/52207031250000000$ |
$1.06496$ |
$6.92197$ |
$[0, 0, 0, -127746218028, -17572818472848848]$ |
\(y^2=x^3-127746218028x-17572818472848848\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.4, 132.12.0.?, 264.48.0.? |
$[(5076094299089/3236, 6285602077987930137/3236)]$ |
348480.t2 |
348480t2 |
348480.t |
348480t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{32} \cdot 3^{16} \cdot 5^{8} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.8 |
2Cs |
$264$ |
$48$ |
$0$ |
$48.28194628$ |
$1$ |
|
$3$ |
$825753600$ |
$4.697464$ |
$201738262891771037089/45727545600000000$ |
$1.05036$ |
$6.28533$ |
$[0, 0, 0, -8515876908, -235916107681232]$ |
\(y^2=x^3-8515876908x-235916107681232\) |
2.6.0.a.1, 4.12.0-2.a.1.2, 8.24.0-8.b.1.4, 132.24.0.?, 264.48.0.? |
$[(-21578565968150076716844/783927593, 2144295591684601909478430887860000/783927593)]$ |
348480.t3 |
348480t1 |
348480.t |
348480t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{46} \cdot 3^{11} \cdot 5^{4} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.114 |
2B |
$264$ |
$48$ |
$0$ |
$24.14097314$ |
$1$ |
|
$1$ |
$412876800$ |
$4.350891$ |
$7220044159551112609/448454983680000$ |
$1.03565$ |
$6.02438$ |
$[0, 0, 0, -2806380588, 54064642814512]$ |
\(y^2=x^3-2806380588x+54064642814512\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.2, 66.6.0.a.1, 132.12.0.?, $\ldots$ |
$[(-1838753630956/12977, 19958114367801799200/12977)]$ |
348480.t4 |
348480t3 |
348480.t |
348480t |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{25} \cdot 3^{26} \cdot 5^{4} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.118 |
2B |
$264$ |
$48$ |
$0$ |
$24.14097314$ |
$1$ |
|
$1$ |
$1651507200$ |
$5.044037$ |
$2371297246710590562911/4084000833203280000$ |
$1.06688$ |
$6.53180$ |
$[0, 0, 0, 19362523092, -1457781774241232]$ |
\(y^2=x^3+19362523092x-1457781774241232\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.4, 132.12.0.?, 264.48.0.? |
$[(26745972646646/2161, 138361114572613726464/2161)]$ |
348480.u1 |
348480u1 |
348480.u |
348480u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$0.741124$ |
$702464/15$ |
$0.83223$ |
$2.67834$ |
$[0, 0, 0, -1848, -30008]$ |
\(y^2=x^3-1848x-30008\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.d.1, 330.6.0.?, 660.12.0.? |
$[]$ |
348480.u2 |
348480u2 |
348480.u |
348480u |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{2} \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.087698$ |
$16/225$ |
$1.04653$ |
$2.84925$ |
$[0, 0, 0, 132, -90992]$ |
\(y^2=x^3+132x-90992\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.d.1, 660.12.0.? |
$[]$ |
348480.v1 |
348480v1 |
348480.v |
348480v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{11} \cdot 5 \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$30$ |
$2$ |
$0$ |
$5.227480596$ |
$1$ |
|
$2$ |
$14192640$ |
$2.558823$ |
$-212464384/1215$ |
$0.92428$ |
$4.44203$ |
$[0, 0, 0, -3338148, 2359075048]$ |
\(y^2=x^3-3338148x+2359075048\) |
30.2.0.a.1 |
$[(-739, 66501)]$ |
348480.w1 |
348480w7 |
348480.w |
348480w |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{10} \cdot 5^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$53084160$ |
$3.352142$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.54915$ |
$[0, 0, 0, -371725068, 2758550165008]$ |
\(y^2=x^3-371725068x+2758550165008\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
348480.w2 |
348480w8 |
348480.w |
348480w |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{7} \cdot 5^{12} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$53084160$ |
$3.352142$ |
$10316097499609/5859375000$ |
$1.13600$ |
$4.96973$ |
$[0, 0, 0, -31608588, 9309482512]$ |
\(y^2=x^3-31608588x+9309482512\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
348480.w3 |
348480w6 |
348480.w |
348480w |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{24} \cdot 3^{8} \cdot 5^{6} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$1320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$26542080$ |
$3.005566$ |
$4102915888729/9000000$ |
$1.05221$ |
$4.89748$ |
$[0, 0, 0, -23245068, 43054613008]$ |
\(y^2=x^3-23245068x+43054613008\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[]$ |
348480.w4 |
348480w5 |
348480.w |
348480w |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{19} \cdot 3^{9} \cdot 5^{4} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$1$ |
$17694720$ |
$2.802834$ |
$2656166199049/33750$ |
$1.05017$ |
$4.86341$ |
$[0, 0, 0, -20108748, -34707305072]$ |
\(y^2=x^3-20108748x-34707305072\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
348480.w5 |
348480w4 |
348480.w |
348480w |
$8$ |
$12$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 11^{2} \) |
\( 2^{19} \cdot 3^{18} \cdot 5 \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$2.802834$ |
$35578826569/5314410$ |
$1.03393$ |
$4.52544$ |
$[0, 0, 0, -4775628, 3459897232]$ |
\(y^2=x^3-4775628x+3459897232\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |