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 |
48576.a1 |
48576v2 |
48576.a |
48576v |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{26} \cdot 3^{3} \cdot 11^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.606045$ |
$2940980566145956489/783792101714688$ |
$[0, -1, 0, -1910305, -745791839]$ |
\(y^2=x^3-x^2-1910305x-745791839\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
48576.a2 |
48576v1 |
48576.a |
48576v |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{34} \cdot 3^{6} \cdot 11^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1474560$ |
$2.259468$ |
$11566328890520951/16088147361792$ |
$[0, -1, 0, 301535, -75604319]$ |
\(y^2=x^3-x^2+301535x-75604319\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
48576.b1 |
48576ck1 |
48576.b |
48576ck |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 11 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$1.573240898$ |
$1$ |
|
$2$ |
$7680$ |
$-0.180459$ |
$1257728/759$ |
$[0, -1, 0, 23, 1]$ |
\(y^2=x^3-x^2+23x+1\) |
1518.2.0.? |
$[(0, 1)]$ |
48576.c1 |
48576ci1 |
48576.c |
48576ci |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 11 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$1.128924087$ |
$1$ |
|
$2$ |
$10240$ |
$0.038956$ |
$-602275072/759$ |
$[0, -1, 0, -177, 969]$ |
\(y^2=x^3-x^2-177x+969\) |
1518.2.0.? |
$[(8, 1)]$ |
48576.d1 |
48576cx1 |
48576.d |
48576cx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{25} \cdot 3^{18} \cdot 11 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1935360$ |
$2.638046$ |
$325375754708447065657/12546225115776$ |
$[0, -1, 0, -9170657, -10685875839]$ |
\(y^2=x^3-x^2-9170657x-10685875839\) |
2024.2.0.? |
$[]$ |
48576.e1 |
48576cj1 |
48576.e |
48576cj |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3^{9} \cdot 11^{5} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$58.85186184$ |
$1$ |
|
$0$ |
$645120$ |
$2.047642$ |
$-344478821986234930432/72909237159$ |
$[0, -1, 0, -1472017, -686922071]$ |
\(y^2=x^3-x^2-1472017x-686922071\) |
1518.2.0.? |
$[(36048284071174030561628352/16000841011, 216425871430431785508318890485326094193/16000841011)]$ |
48576.f1 |
48576cl1 |
48576.f |
48576cl |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 11 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1.372443207$ |
$1$ |
|
$2$ |
$38912$ |
$0.495849$ |
$1352899016/20493$ |
$[0, -1, 0, -737, -7359]$ |
\(y^2=x^3-x^2-737x-7359\) |
2024.2.0.? |
$[(-16, 9)]$ |
48576.g1 |
48576cg1 |
48576.g |
48576cg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{31} \cdot 3^{5} \cdot 11^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$5.534401753$ |
$1$ |
|
$0$ |
$10483200$ |
$3.553928$ |
$-3571480626044740843224673/9021299988885921792$ |
$[0, -1, 0, -203808129, -1122276376287]$ |
\(y^2=x^3-x^2-203808129x-1122276376287\) |
6072.2.0.? |
$[(209053/3, 69761024/3)]$ |
48576.h1 |
48576e1 |
48576.h |
48576e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{19} \cdot 3^{3} \cdot 11 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$1.636846952$ |
$1$ |
|
$4$ |
$23040$ |
$0.583354$ |
$-192100033/13662$ |
$[0, -1, 0, -769, -8447]$ |
\(y^2=x^3-x^2-769x-8447\) |
6072.2.0.? |
$[(33, 32)]$ |
48576.i1 |
48576d4 |
48576.i |
48576d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$3.174228142$ |
$1$ |
|
$5$ |
$40960$ |
$0.950174$ |
$373565128612/1010229$ |
$[0, -1, 0, -6049, 182689]$ |
\(y^2=x^3-x^2-6049x+182689\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 88.12.0.?, 138.6.0.?, $\ldots$ |
$[(48, 25)]$ |
48576.i2 |
48576d2 |
48576.i |
48576d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6072$ |
$48$ |
$0$ |
$1.587114071$ |
$1$ |
|
$11$ |
$20480$ |
$0.603601$ |
$1001132368/576081$ |
$[0, -1, 0, -529, 529]$ |
\(y^2=x^3-x^2-529x+529\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 88.12.0.?, 132.12.0.?, 184.12.0.?, $\ldots$ |
$[(0, 23)]$ |
48576.i3 |
48576d1 |
48576.i |
48576d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{10} \cdot 3^{4} \cdot 11 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$3.174228142$ |
$1$ |
|
$3$ |
$10240$ |
$0.257027$ |
$4604090368/20493$ |
$[0, -1, 0, -349, -2387]$ |
\(y^2=x^3-x^2-349x-2387\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 88.12.0.?, 184.12.0.?, $\ldots$ |
$[(133, 1512)]$ |
48576.i4 |
48576d3 |
48576.i |
48576d |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{16} \cdot 3 \cdot 11 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$3.174228142$ |
$1$ |
|
$5$ |
$40960$ |
$0.950174$ |
$15867289148/9234753$ |
$[0, -1, 0, 2111, 2113]$ |
\(y^2=x^3-x^2+2111x+2113\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 88.12.0.?, 132.12.0.?, $\ldots$ |
$[(3, 92)]$ |
48576.j1 |
48576cq4 |
48576.j |
48576cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3^{4} \cdot 11 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6072$ |
$48$ |
$0$ |
$5.803743515$ |
$1$ |
|
$1$ |
$294912$ |
$1.902466$ |
$1112891236915770073/327888$ |
$[0, -1, 0, -1381729, 625608193]$ |
\(y^2=x^3-x^2-1381729x+625608193\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 506.6.0.?, $\ldots$ |
$[(6307/3, 26684/3)]$ |
48576.j2 |
48576cq3 |
48576.j |
48576cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6072$ |
$48$ |
$0$ |
$1.450935878$ |
$1$ |
|
$3$ |
$294912$ |
$1.902466$ |
$444142553850073/196663299888$ |
$[0, -1, 0, -101729, 6086145]$ |
\(y^2=x^3-x^2-101729x+6086145\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(-147, 4224)]$ |
48576.j3 |
48576cq2 |
48576.j |
48576cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{26} \cdot 3^{2} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$6072$ |
$48$ |
$0$ |
$2.901871757$ |
$1$ |
|
$7$ |
$147456$ |
$1.555891$ |
$271808161065433/147476736$ |
$[0, -1, 0, -86369, 9794049]$ |
\(y^2=x^3-x^2-86369x+9794049\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 1012.12.0.?, $\ldots$ |
$[(75, 1932)]$ |
48576.j4 |
48576cq1 |
48576.j |
48576cq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{34} \cdot 3 \cdot 11 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$6072$ |
$48$ |
$0$ |
$5.803743515$ |
$1$ |
|
$1$ |
$73728$ |
$1.209318$ |
$-37159393753/49741824$ |
$[0, -1, 0, -4449, 209409]$ |
\(y^2=x^3-x^2-4449x+209409\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 1518.6.0.?, $\ldots$ |
$[(109/2, 2625/2)]$ |
48576.k1 |
48576f2 |
48576.k |
48576f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.062384835$ |
$1$ |
|
$5$ |
$239616$ |
$1.587696$ |
$190930594365830608/1728243$ |
$[0, -1, 0, -304689, 64835793]$ |
\(y^2=x^3-x^2-304689x+64835793\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(301, 552)]$ |
48576.k2 |
48576f1 |
48576.k |
48576f |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3^{6} \cdot 11 \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.124769670$ |
$1$ |
|
$3$ |
$119808$ |
$1.241123$ |
$-744208243621888/2244044979$ |
$[0, -1, 0, -19029, 1019349]$ |
\(y^2=x^3-x^2-19029x+1019349\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(84, 81)]$ |
48576.l1 |
48576m1 |
48576.l |
48576m |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{25} \cdot 3 \cdot 11 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.684832$ |
$127263527/97152$ |
$[0, -1, 0, 671, 3553]$ |
\(y^2=x^3-x^2+671x+3553\) |
6072.2.0.? |
$[]$ |
48576.m1 |
48576g4 |
48576.m |
48576g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{26} \cdot 3 \cdot 11^{8} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$552$ |
$48$ |
$0$ |
$51.69418235$ |
$1$ |
|
$1$ |
$17694720$ |
$3.826553$ |
$13688695234222145601259673233/2003024259937536$ |
$[0, -1, 0, -3189525569, 69333624692289]$ |
\(y^2=x^3-x^2-3189525569x+69333624692289\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 138.6.0.?, $\ldots$ |
$[(916746777492001977905176/5294391119, 4576033371402784054802530178165885/5294391119)]$ |
48576.m2 |
48576g3 |
48576.m |
48576g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{26} \cdot 3 \cdot 11^{2} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$51.69418235$ |
$1$ |
|
$1$ |
$17694720$ |
$3.826553$ |
$5072972674420068408718993/2036482219218784389888$ |
$[0, -1, 0, -229100609, 738783239745]$ |
\(y^2=x^3-x^2-229100609x+738783239745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(43933873172339087726371/1786512721, 2506684403449200259955115079609996/1786512721)]$ |
48576.m3 |
48576g2 |
48576.m |
48576g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{34} \cdot 3^{2} \cdot 11^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$552$ |
$48$ |
$0$ |
$25.84709117$ |
$1$ |
|
$3$ |
$8847360$ |
$3.479980$ |
$3342887139776073669969553/1278380674753560576$ |
$[0, -1, 0, -199363649, 1083178868289]$ |
\(y^2=x^3-x^2-199363649x+1083178868289\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 92.12.0.?, $\ldots$ |
$[(5391003742195/20951, 6418274872304612372/20951)]$ |
48576.m4 |
48576g1 |
48576.m |
48576g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{50} \cdot 3^{4} \cdot 11^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$12.92354558$ |
$1$ |
|
$1$ |
$4423680$ |
$3.133408$ |
$-505304979693115442833/512169554353324032$ |
$[0, -1, 0, -10619969, 22099648065]$ |
\(y^2=x^3-x^2-10619969x+22099648065\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.ba.1.14, 46.6.0.a.1, $\ldots$ |
$[(-2049037/41, 12564081684/41)]$ |
48576.n1 |
48576p1 |
48576.n |
48576p |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 11 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.409454$ |
$-6981350656/401511$ |
$[0, -1, 0, -401, -3111]$ |
\(y^2=x^3-x^2-401x-3111\) |
1518.2.0.? |
$[]$ |
48576.o1 |
48576ce1 |
48576.o |
48576ce |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{23} \cdot 3^{2} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$0.731987011$ |
$1$ |
|
$4$ |
$92160$ |
$1.303616$ |
$11301253512121/8816544$ |
$[0, -1, 0, -29921, 2000769]$ |
\(y^2=x^3-x^2-29921x+2000769\) |
2024.2.0.? |
$[(77, 384)]$ |
48576.p1 |
48576o1 |
48576.p |
48576o |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3^{3} \cdot 11 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.010371$ |
$-7626496/6831$ |
$[0, -1, 0, -41, 177]$ |
\(y^2=x^3-x^2-41x+177\) |
1518.2.0.? |
$[]$ |
48576.q1 |
48576bx1 |
48576.q |
48576bx |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{17} \cdot 3^{8} \cdot 11^{3} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1.782855769$ |
$1$ |
|
$12$ |
$122880$ |
$1.265366$ |
$359003179442/200851893$ |
$[0, -1, 0, -7521, -43263]$ |
\(y^2=x^3-x^2-7521x-43263\) |
2024.2.0.? |
$[(141, 1296), (-21, 324)]$ |
48576.r1 |
48576co1 |
48576.r |
48576co |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{15} \cdot 3^{10} \cdot 11^{3} \cdot 23^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1.707790645$ |
$1$ |
|
$2$ |
$998400$ |
$2.427425$ |
$5608651298993519048/505859351301117$ |
$[0, -1, 0, -1184481, 456273729]$ |
\(y^2=x^3-x^2-1184481x+456273729\) |
2024.2.0.? |
$[(315, 10692)]$ |
48576.s1 |
48576bw2 |
48576.s |
48576bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{4} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.960974097$ |
$1$ |
|
$9$ |
$147456$ |
$1.380421$ |
$858729462625/371764272$ |
$[0, -1, 0, -12673, 279841]$ |
\(y^2=x^3-x^2-12673x+279841\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(437, 8832), (-75, 896)]$ |
48576.s2 |
48576bw1 |
48576.s |
48576bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{26} \cdot 3^{2} \cdot 11^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$3.960974097$ |
$1$ |
|
$11$ |
$73728$ |
$1.033848$ |
$8181353375/6412032$ |
$[0, -1, 0, 2687, 31009]$ |
\(y^2=x^3-x^2+2687x+31009\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(-5, 132), (39, 440)]$ |
48576.t1 |
48576cm2 |
48576.t |
48576cm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{18} \cdot 3^{5} \cdot 11^{4} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.308338294$ |
$1$ |
|
$7$ |
$163840$ |
$1.642206$ |
$209849322390625/1882056627$ |
$[0, -1, 0, -79233, 8544033]$ |
\(y^2=x^3-x^2-79233x+8544033\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(197, 736)]$ |
48576.t2 |
48576cm1 |
48576.t |
48576cm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{18} \cdot 3^{10} \cdot 11^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.616676589$ |
$1$ |
|
$5$ |
$81920$ |
$1.295633$ |
$-1349232625/164333367$ |
$[0, -1, 0, -1473, 317025]$ |
\(y^2=x^3-x^2-1473x+317025\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(-11, 576)]$ |
48576.u1 |
48576cc2 |
48576.u |
48576cc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 11 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$8.043374581$ |
$1$ |
|
$1$ |
$20480$ |
$0.429098$ |
$66923416000/2277$ |
$[0, -1, 0, -1353, -18711]$ |
\(y^2=x^3-x^2-1353x-18711\) |
2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.? |
$[(7251/13, 42840/13)]$ |
48576.u2 |
48576cc1 |
48576.u |
48576cc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$4.021687290$ |
$1$ |
|
$1$ |
$10240$ |
$0.082524$ |
$1191016000/192027$ |
$[0, -1, 0, -88, -242]$ |
\(y^2=x^3-x^2-88x-242\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[(-121/5, 858/5)]$ |
48576.v1 |
48576ct2 |
48576.v |
48576ct |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{14} \cdot 3^{3} \cdot 11^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.707993$ |
$5142706000/1728243$ |
$[0, -1, 0, -913, -6575]$ |
\(y^2=x^3-x^2-913x-6575\) |
2.3.0.a.1, 12.6.0.a.1, 1012.6.0.?, 3036.12.0.? |
$[]$ |
48576.v2 |
48576ct1 |
48576.v |
48576ct |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{10} \cdot 3^{6} \cdot 11 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3036$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.361419$ |
$5619712000/184437$ |
$[0, -1, 0, -373, 2821]$ |
\(y^2=x^3-x^2-373x+2821\) |
2.3.0.a.1, 12.6.0.b.1, 506.6.0.?, 3036.12.0.? |
$[]$ |
48576.w1 |
48576l1 |
48576.w |
48576l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{29} \cdot 3^{4} \cdot 11^{5} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2027520$ |
$2.530838$ |
$1135700552684700289/325058782980096$ |
$[0, -1, 0, -1391105, 449427969]$ |
\(y^2=x^3-x^2-1391105x+449427969\) |
2024.2.0.? |
$[]$ |
48576.x1 |
48576j1 |
48576.x |
48576j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{43} \cdot 3^{4} \cdot 11 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$921600$ |
$2.417053$ |
$26240674555395219529/687630974976$ |
$[0, -1, 0, -3962145, -3034204767]$ |
\(y^2=x^3-x^2-3962145x-3034204767\) |
2024.2.0.? |
$[]$ |
48576.y1 |
48576k1 |
48576.y |
48576k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3 \cdot 11^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$64512$ |
$1.015413$ |
$-398556845824/1344614799$ |
$[0, -1, 0, -1545, -60591]$ |
\(y^2=x^3-x^2-1545x-60591\) |
1518.2.0.? |
$[]$ |
48576.z1 |
48576a1 |
48576.z |
48576a |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{19} \cdot 3^{2} \cdot 11 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$2.465041342$ |
$1$ |
|
$2$ |
$55296$ |
$1.009377$ |
$31824875809/2409066$ |
$[0, -1, 0, -4225, -97151]$ |
\(y^2=x^3-x^2-4225x-97151\) |
2024.2.0.? |
$[(-29, 12)]$ |
48576.ba1 |
48576i1 |
48576.ba |
48576i |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3^{11} \cdot 11 \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.266317$ |
$-28649084226304/23708823039$ |
$[0, -1, 0, -6425, 311169]$ |
\(y^2=x^3-x^2-6425x+311169\) |
1518.2.0.? |
$[]$ |
48576.bb1 |
48576cd1 |
48576.bb |
48576cd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{10} \cdot 3^{5} \cdot 11^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1518$ |
$2$ |
$0$ |
$5.107843135$ |
$1$ |
|
$2$ |
$23040$ |
$0.615433$ |
$-31808383744/7438959$ |
$[0, -1, 0, -665, 8049]$ |
\(y^2=x^3-x^2-665x+8049\) |
1518.2.0.? |
$[(160, 1993)]$ |
48576.bc1 |
48576b1 |
48576.bc |
48576b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{17} \cdot 3^{2} \cdot 11 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$0.649533205$ |
$1$ |
|
$4$ |
$14336$ |
$0.337807$ |
$9653618/2277$ |
$[0, -1, 0, -225, -927]$ |
\(y^2=x^3-x^2-225x-927\) |
2024.2.0.? |
$[(-7, 16)]$ |
48576.bd1 |
48576cu1 |
48576.bd |
48576cu |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{37} \cdot 3^{2} \cdot 11^{3} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$350208$ |
$1.924179$ |
$1793126264853169/144450256896$ |
$[0, -1, 0, -161985, -23227551]$ |
\(y^2=x^3-x^2-161985x-23227551\) |
2024.2.0.? |
$[]$ |
48576.be1 |
48576cn1 |
48576.be |
48576cn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{19} \cdot 3^{4} \cdot 11 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1.094359024$ |
$1$ |
|
$4$ |
$36864$ |
$0.724850$ |
$2565726409/40986$ |
$[0, -1, 0, -1825, -28991]$ |
\(y^2=x^3-x^2-1825x-28991\) |
2024.2.0.? |
$[(61, 288)]$ |
48576.bf1 |
48576cw4 |
48576.bf |
48576cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{22} \cdot 3 \cdot 11^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$3.008884$ |
$566001880654007645497/79690973341699632$ |
$[0, -1, 0, -11029217, -12260211327]$ |
\(y^2=x^3-x^2-11029217x-12260211327\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[]$ |
48576.bf2 |
48576cw2 |
48576.bf |
48576cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{26} \cdot 3^{2} \cdot 11^{6} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2211840$ |
$2.662308$ |
$10329367348538068537/1142220445749504$ |
$[0, -1, 0, -2903777, 1713920385]$ |
\(y^2=x^3-x^2-2903777x+1713920385\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[]$ |
48576.bf3 |
48576cw1 |
48576.bf |
48576cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( 2^{34} \cdot 3 \cdot 11^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.315735$ |
$9479576797126950457/138431496192$ |
$[0, -1, 0, -2821857, 1825446273]$ |
\(y^2=x^3-x^2-2821857x+1825446273\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 66.6.0.a.1, $\ldots$ |
$[]$ |
48576.bf4 |
48576cw3 |
48576.bf |
48576cw |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 23 \) |
\( - 2^{22} \cdot 3^{4} \cdot 11^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$3.008884$ |
$25236442759706220743/135084570146078256$ |
$[0, -1, 0, 3910943, 8549084545]$ |
\(y^2=x^3-x^2+3910943x+8549084545\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$ |
$[]$ |