| 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 |
| 45968.a1 |
45968m2 |
45968.a |
45968m |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{23} \cdot 13^{8} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$85155840$ |
$4.321045$ |
$729596217166155478587889/697759680872204288$ |
$1.03716$ |
$7.32642$ |
$[0, 1, 0, -5071381800, -138894070961996]$ |
\(y^2=x^3+x^2-5071381800x-138894070961996\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 45968.a2 |
45968m1 |
45968.a |
45968m |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{34} \cdot 13^{10} \cdot 17^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$42577920$ |
$3.974468$ |
$336811992790162430449/170089663019614208$ |
$1.03772$ |
$6.61098$ |
$[0, 1, 0, -391947560, -1066014857036]$ |
\(y^2=x^3+x^2-391947560x-1066014857036\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 45968.b1 |
45968v1 |
45968.b |
45968v |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1768$ |
$48$ |
$0$ |
$2.610874353$ |
$1$ |
|
$3$ |
$258048$ |
$1.662603$ |
$23320116793/2873$ |
$0.88144$ |
$4.43195$ |
$[0, 1, 0, -160944, -24903020]$ |
\(y^2=x^3+x^2-160944x-24903020\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 104.12.0.?, $\ldots$ |
$[(1044, 30758)]$ |
| 45968.b2 |
45968v2 |
45968.b |
45968v |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1768$ |
$48$ |
$0$ |
$5.221748707$ |
$1$ |
|
$3$ |
$516096$ |
$2.009178$ |
$-17923019113/8254129$ |
$0.89092$ |
$4.46196$ |
$[0, 1, 0, -147424, -29245644]$ |
\(y^2=x^3+x^2-147424x-29245644\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 104.12.0.?, 136.24.0.?, $\ldots$ |
$[(1292, 44030)]$ |
| 45968.c1 |
45968u1 |
45968.c |
45968u |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{20} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1768$ |
$48$ |
$0$ |
$2.208889517$ |
$1$ |
|
$3$ |
$258048$ |
$1.866835$ |
$17923019113/735488$ |
$0.88004$ |
$4.40743$ |
$[0, 1, 0, -147424, 20951412]$ |
\(y^2=x^3+x^2-147424x+20951412\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.12.0.e.1, 104.12.0.?, $\ldots$ |
$[(836, 21970)]$ |
| 45968.c2 |
45968u2 |
45968.c |
45968u |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1768$ |
$48$ |
$0$ |
$4.417779034$ |
$1$ |
|
$3$ |
$516096$ |
$2.213409$ |
$1829276567/132066064$ |
$0.95549$ |
$4.64366$ |
$[0, 1, 0, 68896, 77454196]$ |
\(y^2=x^3+x^2+68896x+77454196\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0.d.1, 104.12.0.?, 136.24.0.?, $\ldots$ |
$[(52, 9010)]$ |
| 45968.d1 |
45968b2 |
45968.d |
45968b |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{11} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1.817253353$ |
$1$ |
|
$7$ |
$61440$ |
$1.150629$ |
$6097250/289$ |
$0.87700$ |
$3.59899$ |
$[0, 1, 0, -8168, -274988]$ |
\(y^2=x^3+x^2-8168x-274988\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(-44, 34)]$ |
| 45968.d2 |
45968b1 |
45968.d |
45968b |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$0.908626676$ |
$1$ |
|
$9$ |
$30720$ |
$0.804056$ |
$62500/17$ |
$0.89869$ |
$3.10777$ |
$[0, 1, 0, -1408, 14340]$ |
\(y^2=x^3+x^2-1408x+14340\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(82, 676)]$ |
| 45968.e1 |
45968l2 |
45968.e |
45968l |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{13} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$1.827240$ |
$297141543217/7514$ |
$0.90457$ |
$4.66900$ |
$[0, 1, 0, -375912, 88583860]$ |
\(y^2=x^3+x^2-375912x+88583860\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 45968.e2 |
45968l1 |
45968.e |
45968l |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$193536$ |
$1.480665$ |
$81182737/11492$ |
$0.81939$ |
$3.90470$ |
$[0, 1, 0, -24392, 1266292]$ |
\(y^2=x^3+x^2-24392x+1266292\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 45968.f1 |
45968r2 |
45968.f |
45968r |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$14.72047755$ |
$1$ |
|
$1$ |
$2580480$ |
$2.730793$ |
$177930109857804849/634933$ |
$1.28788$ |
$5.90810$ |
$[0, 0, 0, -31684627, -68646912750]$ |
\(y^2=x^3-31684627x-68646912750\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(19834175/13, 88229105970/13)]$ |
| 45968.f2 |
45968r1 |
45968.f |
45968r |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$7.360238777$ |
$1$ |
|
$1$ |
$1290240$ |
$2.384220$ |
$43499078731809/82055753$ |
$1.09179$ |
$5.13345$ |
$[0, 0, 0, -1981187, -1071586750]$ |
\(y^2=x^3-1981187x-1071586750\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-188591/15, 1283048/15)]$ |
| 45968.g1 |
45968e2 |
45968.g |
45968e |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.445503$ |
$2447840196/3757$ |
$0.91273$ |
$4.09285$ |
$[0, 0, 0, -47827, -4020510]$ |
\(y^2=x^3-47827x-4020510\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
| 45968.g2 |
45968e1 |
45968.g |
45968e |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.098930$ |
$5256144/2873$ |
$0.78815$ |
$3.39147$ |
$[0, 0, 0, -3887, -21970]$ |
\(y^2=x^3-3887x-21970\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 45968.h1 |
45968d4 |
45968.h |
45968d |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 13^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$172032$ |
$1.703228$ |
$7944486372/485537$ |
$0.88012$ |
$4.20251$ |
$[0, 0, 0, -70811, 6859034]$ |
\(y^2=x^3-70811x+6859034\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 34.6.0.a.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 45968.h2 |
45968d2 |
45968.h |
45968d |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 13^{8} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$884$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$86016$ |
$1.356655$ |
$212992848/48841$ |
$0.86726$ |
$3.73629$ |
$[0, 0, 0, -13351, -461370]$ |
\(y^2=x^3-13351x-461370\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.a.1.1, 68.24.0-68.b.1.3, 884.48.0.? |
$[]$ |
| 45968.h3 |
45968d1 |
45968.h |
45968d |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 13^{7} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$43008$ |
$1.010082$ |
$2800908288/221$ |
$0.99598$ |
$3.71801$ |
$[0, 0, 0, -12506, -538265]$ |
\(y^2=x^3-12506x-538265\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 104.24.0.?, 136.24.0.?, 442.6.0.?, $\ldots$ |
$[]$ |
| 45968.h4 |
45968d3 |
45968.h |
45968d |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{10} \cdot 13^{7} \cdot 17^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$172032$ |
$1.703228$ |
$640412028/1085773$ |
$0.93821$ |
$4.02919$ |
$[0, 0, 0, 30589, -2860494]$ |
\(y^2=x^3+30589x-2860494\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 52.24.0-52.h.1.2, 136.24.0.?, 1768.48.0.? |
$[]$ |
| 45968.i1 |
45968h1 |
45968.i |
45968h |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 13^{8} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$387072$ |
$1.996536$ |
$90942871473/3321188$ |
$0.92211$ |
$4.55871$ |
$[0, 0, 0, -253331, -47503534]$ |
\(y^2=x^3-253331x-47503534\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 45968.i2 |
45968h2 |
45968.i |
45968h |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{13} \cdot 13^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$774144$ |
$2.343109$ |
$5295319407/627576794$ |
$1.34833$ |
$4.78913$ |
$[0, 0, 0, 98189, -169059150]$ |
\(y^2=x^3+98189x-169059150\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 45968.j1 |
45968c2 |
45968.j |
45968c |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$86016$ |
$1.236937$ |
$370386000/2873$ |
$0.86349$ |
$3.78782$ |
$[0, 0, 0, -16055, -777738]$ |
\(y^2=x^3-16055x-777738\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[]$ |
| 45968.j2 |
45968c1 |
45968.j |
45968c |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43008$ |
$0.890364$ |
$6912000/3757$ |
$0.94257$ |
$3.15872$ |
$[0, 0, 0, -1690, 6591]$ |
\(y^2=x^3-1690x+6591\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[]$ |
| 45968.k1 |
45968p4 |
45968.k |
45968p |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$14144$ |
$1536$ |
$53$ |
$2.561454242$ |
$1$ |
|
$3$ |
$147456$ |
$1.598986$ |
$82483294977/17$ |
$1.03131$ |
$4.54962$ |
$[0, 0, 0, -245219, 46738978]$ |
\(y^2=x^3-245219x+46738978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(-351, 9464)]$ |
| 45968.k2 |
45968p2 |
45968.k |
45968p |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.20 |
2Cs |
$7072$ |
$1536$ |
$53$ |
$5.122908484$ |
$1$ |
|
$5$ |
$73728$ |
$1.252413$ |
$20346417/289$ |
$1.02963$ |
$3.77580$ |
$[0, 0, 0, -15379, 725010]$ |
\(y^2=x^3-15379x+725010\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.f.1, 16.48.0.c.2, 52.24.0-4.a.1.1, $\ldots$ |
$[(690, 17850)]$ |
| 45968.k3 |
45968p1 |
45968.k |
45968p |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{12} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.12 |
2B |
$14144$ |
$1536$ |
$53$ |
$2.561454242$ |
$1$ |
|
$1$ |
$36864$ |
$0.905839$ |
$35937/17$ |
$1.02432$ |
$3.18535$ |
$[0, 0, 0, -1859, -13182]$ |
\(y^2=x^3-1859x-13182\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.j.1, 32.48.0.f.2, $\ldots$ |
$[(-39/2, 507/2)]$ |
| 45968.k4 |
45968p3 |
45968.k |
45968p |
$4$ |
$4$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{12} \cdot 13^{6} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.76 |
2B |
$14144$ |
$1536$ |
$53$ |
$2.561454242$ |
$1$ |
|
$5$ |
$147456$ |
$1.598986$ |
$-35937/83521$ |
$1.18071$ |
$3.95831$ |
$[0, 0, 0, -1859, 1955330]$ |
\(y^2=x^3-1859x+1955330\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.t.1, 16.48.0.m.2, 52.24.0-4.d.1.1, $\ldots$ |
$[(-113, 850)]$ |
| 45968.l1 |
45968q2 |
45968.l |
45968q |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{16} \cdot 13^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$5.160591987$ |
$1$ |
|
$3$ |
$1548288$ |
$2.619484$ |
$196741326427281/5020614352$ |
$1.05763$ |
$5.27403$ |
$[0, 0, 0, -3276403, -2231778510]$ |
\(y^2=x^3-3276403x-2231778510\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(2655, 88230)]$ |
| 45968.l2 |
45968q1 |
45968.l |
45968q |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{20} \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$2.580295993$ |
$1$ |
|
$1$ |
$774144$ |
$2.272911$ |
$559679941521/212556032$ |
$1.20815$ |
$4.72797$ |
$[0, 0, 0, -464243, 71380530]$ |
\(y^2=x^3-464243x+71380530\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(-3185/3, 373490/3)]$ |
| 45968.m1 |
45968j1 |
45968.m |
45968j |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.508245$ |
$7433231/4352$ |
$0.91543$ |
$2.72634$ |
$[0, 1, 0, 360, 404]$ |
\(y^2=x^3+x^2+360x+404\) |
68.2.0.a.1 |
$[]$ |
| 45968.n1 |
45968t1 |
45968.n |
45968t |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.844057971$ |
$1$ |
|
$2$ |
$4032$ |
$-0.194662$ |
$-208/17$ |
$0.68691$ |
$1.95330$ |
$[0, 1, 0, -4, 40]$ |
\(y^2=x^3+x^2-4x+40\) |
68.2.0.a.1 |
$[(3, 8)]$ |
| 45968.o1 |
45968s1 |
45968.o |
45968s |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$14.14408058$ |
$1$ |
|
$0$ |
$52416$ |
$1.087812$ |
$-208/17$ |
$0.68691$ |
$3.38681$ |
$[0, 1, 0, -732, 90728]$ |
\(y^2=x^3+x^2-732x+90728\) |
68.2.0.a.1 |
$[(1323487/49, 1522537346/49)]$ |
| 45968.p1 |
45968i1 |
45968.p |
45968i |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{20} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$359424$ |
$1.790720$ |
$7433231/4352$ |
$0.91543$ |
$4.15984$ |
$[0, 1, 0, 60784, 644372]$ |
\(y^2=x^3+x^2+60784x+644372\) |
68.2.0.a.1 |
$[]$ |
| 45968.q1 |
45968x1 |
45968.q |
45968x |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 13^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6912$ |
$-0.092134$ |
$1048576/17$ |
$0.90310$ |
$2.26631$ |
$[0, -1, 0, -69, -196]$ |
\(y^2=x^3-x^2-69x-196\) |
2.3.0.a.1, 52.6.0.b.1, 68.6.0.e.1, 442.6.0.?, 884.12.0.? |
$[]$ |
| 45968.q2 |
45968x2 |
45968.q |
45968x |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 13^{3} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13824$ |
$0.254439$ |
$-16/289$ |
$1.13275$ |
$2.45547$ |
$[0, -1, 0, -4, -612]$ |
\(y^2=x^3-x^2-4x-612\) |
2.3.0.a.1, 52.6.0.a.1, 68.6.0.e.1, 884.12.0.? |
$[]$ |
| 45968.r1 |
45968g1 |
45968.r |
45968g |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 13^{10} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.21 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$2.039871$ |
$1217013440848/140320193$ |
$0.89616$ |
$4.54207$ |
$[0, -1, 0, -238684, 40243488]$ |
\(y^2=x^3-x^2-238684x+40243488\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.3, 34.6.0.a.1, 68.24.0.f.1, $\ldots$ |
$[]$ |
| 45968.r2 |
45968g2 |
45968.r |
45968g |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{10} \cdot 13^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.12 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$2.386444$ |
$822769797308/4079249161$ |
$0.94275$ |
$4.82325$ |
$[0, -1, 0, 332536, 202926944]$ |
\(y^2=x^3-x^2+332536x+202926944\) |
2.3.0.a.1, 4.12.0-4.a.1.1, 68.24.0-68.d.1.1, 136.48.0.? |
$[]$ |
| 45968.s1 |
45968a2 |
45968.s |
45968a |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{11} \cdot 13^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$5.217518500$ |
$1$ |
|
$3$ |
$645120$ |
$2.238773$ |
$569001644066/313788397$ |
$0.95419$ |
$4.66495$ |
$[0, -1, 0, -370504, -18706416]$ |
\(y^2=x^3-x^2-370504x-18706416\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[(-96, 3996)]$ |
| 45968.s2 |
45968a1 |
45968.s |
45968a |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{10} \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$10.43503700$ |
$1$ |
|
$1$ |
$322560$ |
$1.892200$ |
$505117359652/830297$ |
$0.89722$ |
$4.58929$ |
$[0, -1, 0, -282624, -57654832]$ |
\(y^2=x^3-x^2-282624x-57654832\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[(-224888/27, 5528836/27)]$ |
| 45968.t1 |
45968k4 |
45968.t |
45968k |
$4$ |
$6$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{13} \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$663552$ |
$2.155109$ |
$159661140625/48275138$ |
$1.06848$ |
$4.61114$ |
$[0, -1, 0, -305608, 45037680]$ |
\(y^2=x^3-x^2-305608x+45037680\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
| 45968.t2 |
45968k3 |
45968.t |
45968k |
$4$ |
$6$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{14} \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.808537$ |
$120920208625/19652$ |
$0.98564$ |
$4.58525$ |
$[0, -1, 0, -278568, 56675696]$ |
\(y^2=x^3-x^2-278568x+56675696\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
| 45968.t3 |
45968k2 |
45968.t |
45968k |
$4$ |
$6$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{15} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$221184$ |
$1.605803$ |
$8805624625/2312$ |
$0.96590$ |
$4.34123$ |
$[0, -1, 0, -116328, -15229072]$ |
\(y^2=x^3-x^2-116328x-15229072\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
| 45968.t4 |
45968k1 |
45968.t |
45968k |
$4$ |
$6$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{18} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$5304$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.259230$ |
$3048625/1088$ |
$0.90010$ |
$3.59899$ |
$[0, -1, 0, -8168, -173200]$ |
\(y^2=x^3-x^2-8168x-173200\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
| 45968.u1 |
45968f1 |
45968.u |
45968f |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{8} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.674271$ |
$35152/17$ |
$0.75928$ |
$2.92504$ |
$[0, -1, 0, -732, -2848]$ |
\(y^2=x^3-x^2-732x-2848\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 68.24.0.f.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 45968.u2 |
45968f2 |
45968.u |
45968f |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{10} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.020845$ |
$415292/289$ |
$0.87236$ |
$3.28417$ |
$[0, -1, 0, 2648, -24480]$ |
\(y^2=x^3-x^2+2648x-24480\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[]$ |
| 45968.v1 |
45968w1 |
45968.v |
45968w |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( 2^{4} \cdot 13^{9} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$89856$ |
$1.190340$ |
$1048576/17$ |
$0.90310$ |
$3.69981$ |
$[0, -1, 0, -11717, -477400]$ |
\(y^2=x^3-x^2-11717x-477400\) |
2.3.0.a.1, 52.6.0.b.1, 68.6.0.e.1, 442.6.0.?, 884.12.0.? |
$[]$ |
| 45968.v2 |
45968w2 |
45968.v |
45968w |
$2$ |
$2$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{8} \cdot 13^{9} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$179712$ |
$1.536915$ |
$-16/289$ |
$1.13275$ |
$3.88898$ |
$[0, -1, 0, -732, -1347412]$ |
\(y^2=x^3-x^2-732x-1347412\) |
2.3.0.a.1, 52.6.0.a.1, 68.6.0.e.1, 884.12.0.? |
$[]$ |
| 45968.w1 |
45968o1 |
45968.w |
45968o |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 13^{4} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$400896$ |
$1.472069$ |
$-298652123601/78608$ |
$1.12598$ |
$4.19167$ |
$[0, 0, 0, -68107, 6842810]$ |
\(y^2=x^3-68107x+6842810\) |
68.2.0.a.1 |
$[]$ |
| 45968.x1 |
45968n1 |
45968.x |
45968n |
$1$ |
$1$ |
\( 2^{4} \cdot 13^{2} \cdot 17 \) |
\( - 2^{16} \cdot 13^{10} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$5211648$ |
$2.754543$ |
$-298652123601/78608$ |
$1.12598$ |
$5.62518$ |
$[0, 0, 0, -11510083, 15033653570]$ |
\(y^2=x^3-11510083x+15033653570\) |
68.2.0.a.1 |
$[]$ |
