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 |
8976.a1 |
8976f1 |
8976.a |
8976f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3 \cdot 11 \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$1.508385223$ |
$1$ |
|
$13$ |
$1792$ |
$0.033397$ |
$676449508/561$ |
$0.83058$ |
$2.99527$ |
$[0, -1, 0, -184, 1024]$ |
\(y^2=x^3-x^2-184x+1024\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(6, 10), (9, 4)]$ |
8976.a2 |
8976f2 |
8976.a |
8976f |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{2} \cdot 11^{2} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$0.377096305$ |
$1$ |
|
$29$ |
$3584$ |
$0.379971$ |
$-162365474/314721$ |
$0.85819$ |
$3.07615$ |
$[0, -1, 0, -144, 1440]$ |
\(y^2=x^3-x^2-144x+1440\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(-4, 44), (2, 34)]$ |
8976.b1 |
8976o1 |
8976.b |
8976o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{5} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.925309$ |
$-2160697802752/24640803$ |
$1.02074$ |
$4.03620$ |
$[0, -1, 0, -4309, -108515]$ |
\(y^2=x^3-x^2-4309x-108515\) |
374.2.0.? |
$[]$ |
8976.c1 |
8976c1 |
8976.c |
8976c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.532147$ |
$-3962770432/16495083$ |
$0.90694$ |
$3.26825$ |
$[0, -1, 0, -209, -3267]$ |
\(y^2=x^3-x^2-209x-3267\) |
374.2.0.? |
$[]$ |
8976.d1 |
8976t1 |
8976.d |
8976t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{2} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.396434325$ |
$1$ |
|
$6$ |
$768$ |
$-0.235688$ |
$524288/1683$ |
$0.87291$ |
$2.22245$ |
$[0, -1, 0, 11, 25]$ |
\(y^2=x^3-x^2+11x+25\) |
374.2.0.? |
$[(1, 6)]$ |
8976.e1 |
8976p2 |
8976.e |
8976p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{14} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32256$ |
$1.482914$ |
$204055591784617/78708537864$ |
$1.01941$ |
$4.53370$ |
$[0, -1, 0, -19624, 617584]$ |
\(y^2=x^3-x^2-19624x+617584\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
8976.e2 |
8976p1 |
8976.e |
8976p |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{7} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16128$ |
$1.136341$ |
$18052771191337/444958272$ |
$0.94100$ |
$4.26728$ |
$[0, -1, 0, -8744, -305040]$ |
\(y^2=x^3-x^2-8744x-305040\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
8976.f1 |
8976g2 |
8976.f |
8976g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{11} \cdot 3^{6} \cdot 11^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.903521997$ |
$1$ |
|
$5$ |
$23040$ |
$1.336094$ |
$110725946217794/21954955473$ |
$0.95362$ |
$4.39039$ |
$[0, -1, 0, -12704, 451104]$ |
\(y^2=x^3-x^2-12704x+451104\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[(-6, 726)]$ |
8976.f2 |
8976g1 |
8976.f |
8976g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 11^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$0.451760998$ |
$1$ |
|
$9$ |
$11520$ |
$0.989520$ |
$187761599684068/10385793$ |
$0.94659$ |
$4.37226$ |
$[0, -1, 0, -12024, 511488]$ |
\(y^2=x^3-x^2-12024x+511488\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[(62, 22)]$ |
8976.g1 |
8976u1 |
8976.g |
8976u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{26} \cdot 3^{5} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$8.427012648$ |
$1$ |
|
$1$ |
$26880$ |
$1.217709$ |
$81706955619457/744505344$ |
$0.95028$ |
$4.43315$ |
$[0, -1, 0, -14464, -659456]$ |
\(y^2=x^3-x^2-14464x-659456\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(3465/4, 160867/4)]$ |
8976.g2 |
8976u2 |
8976.g |
8976u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{19} \cdot 3^{10} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$4.213506324$ |
$1$ |
|
$3$ |
$53760$ |
$1.564281$ |
$-2035346265217/264305213568$ |
$1.01228$ |
$4.62271$ |
$[0, -1, 0, -4224, -1585152]$ |
\(y^2=x^3-x^2-4224x-1585152\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(197, 2278)]$ |
8976.h1 |
8976m3 |
8976.h |
8976m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{22} \cdot 3 \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$3.134090$ |
$505384091400037554067434625/815656731648$ |
$1.17649$ |
$7.66895$ |
$[0, -1, 0, -265513088, 1665329197056]$ |
\(y^2=x^3-x^2-265513088x+1665329197056\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.9, $\ldots$ |
$[]$ |
8976.h2 |
8976m4 |
8976.h |
8976m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{2} \cdot 11^{2} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$3.480667$ |
$-505369473241574671219626625/20303219722982711328$ |
$1.10395$ |
$7.66895$ |
$[0, -1, 0, -265510528, 1665362913280]$ |
\(y^2=x^3-x^2-265510528x+1665362913280\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.9, $\ldots$ |
$[]$ |
8976.h3 |
8976m1 |
8976.h |
8976m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{42} \cdot 3^{3} \cdot 11^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$2.584785$ |
$959024269496848362625/11151660319506432$ |
$1.02199$ |
$6.22152$ |
$[0, -1, 0, -3287168, 2271866880]$ |
\(y^2=x^3-x^2-3287168x+2271866880\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.3, $\ldots$ |
$[]$ |
8976.h4 |
8976m2 |
8976.h |
8976m |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{27} \cdot 3^{6} \cdot 11^{6} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$2.931358$ |
$-7966267523043306625/3534510366354604032$ |
$1.07621$ |
$6.42506$ |
$[0, -1, 0, -665728, 5792985088]$ |
\(y^2=x^3-x^2-665728x+5792985088\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.3, $\ldots$ |
$[]$ |
8976.i1 |
8976l1 |
8976.i |
8976l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3 \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.649571$ |
$858729462625/38148$ |
$0.91835$ |
$3.93268$ |
$[0, -1, 0, -3168, -67584]$ |
\(y^2=x^3-x^2-3168x-67584\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
8976.i2 |
8976l2 |
8976.i |
8976l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.996145$ |
$-735091890625/181908738$ |
$1.08903$ |
$3.95471$ |
$[0, -1, 0, -3008, -74880]$ |
\(y^2=x^3-x^2-3008x-74880\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
8976.j1 |
8976a1 |
8976.j |
8976a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{5} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.465278$ |
$282841522000/772497$ |
$0.95384$ |
$3.50607$ |
$[0, -1, 0, -868, -9536]$ |
\(y^2=x^3-x^2-868x-9536\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
8976.j2 |
8976a2 |
8976.j |
8976a |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{10} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.811852$ |
$-15927506500/121463793$ |
$0.99730$ |
$3.63363$ |
$[0, -1, 0, -528, -17424]$ |
\(y^2=x^3-x^2-528x-17424\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
8976.k1 |
8976s2 |
8976.k |
8976s |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$0.319872528$ |
$1$ |
|
$6$ |
$13824$ |
$1.225149$ |
$-14820625871872000/529675443$ |
$1.00325$ |
$4.69991$ |
$[0, -1, 0, -32493, 2265345]$ |
\(y^2=x^3-x^2-32493x+2265345\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 374.2.0.?, 1122.8.0.?, 2244.16.0.? |
$[(93, 198)]$ |
8976.k2 |
8976s1 |
8976.k |
8976s |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{12} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2244$ |
$16$ |
$0$ |
$0.959617584$ |
$1$ |
|
$4$ |
$4608$ |
$0.675842$ |
$-351232000/99379467$ |
$1.01297$ |
$3.45148$ |
$[0, -1, 0, -93, 7713]$ |
\(y^2=x^3-x^2-93x+7713\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 374.2.0.?, 1122.8.0.?, 2244.16.0.? |
$[(129, 1458)]$ |
8976.l1 |
8976n1 |
8976.l |
8976n |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{4} \cdot 11 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2560$ |
$0.214310$ |
$-64000000/15147$ |
$0.90115$ |
$2.92618$ |
$[0, -1, 0, -133, -659]$ |
\(y^2=x^3-x^2-133x-659\) |
374.2.0.? |
$[]$ |
8976.m1 |
8976b1 |
8976.m |
8976b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{7} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$2.525993$ |
$-2737717077365028736000/181536283769982867$ |
$1.03399$ |
$6.04408$ |
$[0, -1, 0, -1850553, 1023572133]$ |
\(y^2=x^3-x^2-1850553x+1023572133\) |
374.2.0.? |
$[]$ |
8976.n1 |
8976d1 |
8976.n |
8976d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3 \cdot 11^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.536475$ |
$967473250000/1153977$ |
$0.95116$ |
$3.64118$ |
$[0, -1, 0, -1308, -17760]$ |
\(y^2=x^3-x^2-1308x-17760\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[]$ |
8976.n2 |
8976d2 |
8976.n |
8976d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{2} \cdot 11^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7680$ |
$0.883048$ |
$-98061470500/271048833$ |
$0.92244$ |
$3.73467$ |
$[0, -1, 0, -968, -27552]$ |
\(y^2=x^3-x^2-968x-27552\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[]$ |
8976.o1 |
8976e3 |
8976.o |
8976e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{3} \cdot 11 \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.922907$ |
$28742820444292/24805737$ |
$0.93411$ |
$4.16607$ |
$[0, -1, 0, -6432, -196272]$ |
\(y^2=x^3-x^2-6432x-196272\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$ |
$[]$ |
8976.o2 |
8976e4 |
8976.o |
8976e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{12} \cdot 11 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.922907$ |
$8187726931492/99379467$ |
$0.92532$ |
$4.02811$ |
$[0, -1, 0, -4232, 106272]$ |
\(y^2=x^3-x^2-4232x+106272\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
8976.o3 |
8976e2 |
8976.o |
8976e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{6} \cdot 11^{2} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$4608$ |
$0.576333$ |
$51553893328/25492401$ |
$0.90082$ |
$3.31906$ |
$[0, -1, 0, -492, -1440]$ |
\(y^2=x^3-x^2-492x-1440\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 68.12.0-2.a.1.1, 132.24.0.?, $\ldots$ |
$[]$ |
8976.o4 |
8976e1 |
8976.o |
8976e |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{4} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.229760$ |
$9885304832/6720219$ |
$1.04813$ |
$2.83301$ |
$[0, -1, 0, 113, -230]$ |
\(y^2=x^3-x^2+113x-230\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 68.12.0-4.c.1.1, 88.12.0.?, $\ldots$ |
$[]$ |
8976.p1 |
8976w3 |
8976.p |
8976w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{19} \cdot 3^{8} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$2.535416$ |
$306234591284035366263793/1727485056$ |
$1.03821$ |
$6.85501$ |
$[0, -1, 0, -22467952, 40998946240]$ |
\(y^2=x^3-x^2-22467952x+40998946240\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 68.12.0-4.c.1.2, 136.48.0.? |
$[]$ |
8976.p2 |
8976w2 |
8976.p |
8976w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{26} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$129024$ |
$2.188843$ |
$74768347616680342513/5615307472896$ |
$1.01338$ |
$5.94121$ |
$[0, -1, 0, -1404272, 640935360]$ |
\(y^2=x^3-x^2-1404272x+640935360\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 68.24.0-68.b.1.2, 136.48.0.? |
$[]$ |
8976.p3 |
8976w4 |
8976.p |
8976w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{19} \cdot 3^{2} \cdot 11^{8} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$258048$ |
$2.535416$ |
$-60992553706117024753/20624795251201152$ |
$1.01769$ |
$5.96939$ |
$[0, -1, 0, -1312112, 728597952]$ |
\(y^2=x^3-x^2-1312112x+728597952\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 136.48.0.? |
$[]$ |
8976.p4 |
8976w1 |
8976.p |
8976w |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{40} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64512$ |
$1.842268$ |
$22106889268753393/4969545596928$ |
$0.98677$ |
$5.04844$ |
$[0, -1, 0, -93552, 8644032]$ |
\(y^2=x^3-x^2-93552x+8644032\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 34.6.0.a.1, 68.24.0-68.g.1.1, $\ldots$ |
$[]$ |
8976.q1 |
8976r3 |
8976.q |
8976r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$4488$ |
$48$ |
$0$ |
$3.205553098$ |
$1$ |
|
$5$ |
$8192$ |
$0.784204$ |
$666940371553/2756193$ |
$0.98070$ |
$3.90491$ |
$[0, -1, 0, -2912, 61248]$ |
\(y^2=x^3-x^2-2912x+61248\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 66.6.0.a.1, 132.24.0.?, 136.24.0.?, $\ldots$ |
$[(58, 290)]$ |
8976.q2 |
8976r2 |
8976.q |
8976r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2244$ |
$48$ |
$0$ |
$1.602776549$ |
$1$ |
|
$9$ |
$4096$ |
$0.437630$ |
$545338513/314721$ |
$1.16391$ |
$3.12390$ |
$[0, -1, 0, -272, 0]$ |
\(y^2=x^3-x^2-272x\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 68.24.0-68.a.1.2, 132.24.0.?, 2244.48.0.? |
$[(-8, 40)]$ |
8976.q3 |
8976r1 |
8976.q |
8976r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3 \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$3.205553098$ |
$1$ |
|
$3$ |
$2048$ |
$0.091056$ |
$192100033/561$ |
$0.89524$ |
$3.00927$ |
$[0, -1, 0, -192, -960]$ |
\(y^2=x^3-x^2-192x-960\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.1, 132.12.0.?, $\ldots$ |
$[(17, 20)]$ |
8976.q4 |
8976r4 |
8976.q |
8976r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{12} \cdot 3^{4} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$3.205553098$ |
$1$ |
|
$3$ |
$8192$ |
$0.784204$ |
$34741712447/20160657$ |
$0.99882$ |
$3.58030$ |
$[0, -1, 0, 1088, -1088]$ |
\(y^2=x^3-x^2+1088x-1088\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 68.24.0-68.h.1.1, 264.24.0.?, 4488.48.0.? |
$[(26, 210)]$ |
8976.r1 |
8976v2 |
8976.r |
8976v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{13} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.635136$ |
$666940371553/37026$ |
$1.02770$ |
$3.90491$ |
$[0, -1, 0, -2912, -59520]$ |
\(y^2=x^3-x^2-2912x-59520\) |
2.3.0.a.1, 132.6.0.?, 136.6.0.?, 4488.12.0.? |
$[]$ |
8976.r2 |
8976v1 |
8976.r |
8976v |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3 \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4488$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.288562$ |
$192100033/38148$ |
$0.83997$ |
$3.00927$ |
$[0, -1, 0, -192, -768]$ |
\(y^2=x^3-x^2-192x-768\) |
2.3.0.a.1, 66.6.0.a.1, 136.6.0.?, 4488.12.0.? |
$[]$ |
8976.s1 |
8976q1 |
8976.s |
8976q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3 \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.737515$ |
$832972004929/610368$ |
$1.08401$ |
$3.92934$ |
$[0, -1, 0, -3136, 68608]$ |
\(y^2=x^3-x^2-3136x+68608\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
8976.s2 |
8976q2 |
8976.s |
8976q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{2} \cdot 17^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.084089$ |
$-420021471169/727634952$ |
$0.93771$ |
$4.00624$ |
$[0, -1, 0, -2496, 96768]$ |
\(y^2=x^3-x^2-2496x+96768\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
8976.t1 |
8976i1 |
8976.t |
8976i |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{4} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$374$ |
$2$ |
$0$ |
$0.318056914$ |
$1$ |
|
$4$ |
$6144$ |
$0.419039$ |
$1055028224/4377483$ |
$0.89121$ |
$3.09171$ |
$[0, 1, 0, 135, 1539]$ |
\(y^2=x^3+x^2+135x+1539\) |
374.2.0.? |
$[(6, 51)]$ |
8976.u1 |
8976z1 |
8976.u |
8976z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3 \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$4488$ |
$12$ |
$0$ |
$2.691755189$ |
$1$ |
|
$3$ |
$2304$ |
$0.262908$ |
$81182737/35904$ |
$1.09390$ |
$2.91464$ |
$[0, 1, 0, -144, 276]$ |
\(y^2=x^3+x^2-144x+276\) |
2.3.0.a.1, 8.6.0.d.1, 1122.6.0.?, 4488.12.0.? |
$[(11, 12)]$ |
8976.u2 |
8976z2 |
8976.u |
8976z |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$4488$ |
$12$ |
$0$ |
$1.345877594$ |
$1$ |
|
$5$ |
$4608$ |
$0.609481$ |
$3288008303/2517768$ |
$0.89782$ |
$3.32128$ |
$[0, 1, 0, 496, 2580]$ |
\(y^2=x^3+x^2+496x+2580\) |
2.3.0.a.1, 8.6.0.a.1, 2244.6.0.?, 4488.12.0.? |
$[(12, 102)]$ |
8976.v1 |
8976y3 |
8976.v |
8976y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{7} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$4.931092037$ |
$1$ |
|
$3$ |
$258048$ |
$2.574482$ |
$441453577446719855661097/4354701912$ |
$1.03915$ |
$6.89519$ |
$[0, 1, 0, -25380904, -49224736588]$ |
\(y^2=x^3+x^2-25380904x-49224736588\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 88.12.0.?, 136.12.0.?, $\ldots$ |
$[(11732, 1126026)]$ |
8976.v2 |
8976y2 |
8976.v |
8976y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{14} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4488$ |
$48$ |
$0$ |
$2.465546018$ |
$1$ |
|
$9$ |
$129024$ |
$2.227909$ |
$107784459654566688937/10704361149504$ |
$1.01463$ |
$5.98139$ |
$[0, 1, 0, -1586344, -769494604]$ |
\(y^2=x^3+x^2-1586344x-769494604\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 132.24.0.?, 136.12.0.?, $\ldots$ |
$[(-724, 198)]$ |
8976.v3 |
8976y4 |
8976.v |
8976y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{28} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$4.931092037$ |
$1$ |
|
$3$ |
$258048$ |
$2.574482$ |
$-85183593440646799657/34223681512621656$ |
$1.01953$ |
$6.01346$ |
$[0, 1, 0, -1466664, -890371404]$ |
\(y^2=x^3+x^2-1466664x-890371404\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.2, 136.12.0.?, $\ldots$ |
$[(11244, 1185030)]$ |
8976.v4 |
8976y1 |
8976.v |
8976y |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3^{7} \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4488$ |
$48$ |
$0$ |
$1.232773009$ |
$1$ |
|
$7$ |
$64512$ |
$1.881334$ |
$32765849647039657/8229948198912$ |
$0.98958$ |
$5.09167$ |
$[0, 1, 0, -106664, -10122828]$ |
\(y^2=x^3+x^2-106664x-10122828\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 44.12.0-4.c.1.1, 66.6.0.a.1, $\ldots$ |
$[(-212, 1734)]$ |
8976.w1 |
8976bf5 |
8976.w |
8976bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.30 |
2B |
$8976$ |
$192$ |
$1$ |
$7.844831591$ |
$1$ |
|
$3$ |
$98304$ |
$2.131077$ |
$6812873765474836663297/74052$ |
$1.02772$ |
$6.43692$ |
$[0, 1, 0, -6319104, 6111977652]$ |
\(y^2=x^3+x^2-6319104x+6111977652\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.2, 16.48.0-16.f.2.3, 34.6.0.a.1, $\ldots$ |
$[(38876/5, 868326/5)]$ |
8976.w2 |
8976bf3 |
8976.w |
8976bf |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( 2^{16} \cdot 3^{4} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.26 |
2Cs |
$4488$ |
$192$ |
$1$ |
$3.922415795$ |
$1$ |
|
$11$ |
$49152$ |
$1.784504$ |
$1663303207415737537/5483698704$ |
$0.99928$ |
$5.52312$ |
$[0, 1, 0, -394944, 95400756]$ |
\(y^2=x^3+x^2-394944x+95400756\) |
2.6.0.a.1, 4.24.0-4.b.1.3, 8.48.0-8.d.2.1, 68.48.0-68.c.1.1, 136.96.0.?, $\ldots$ |
$[(74, 8160)]$ |