| 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 |
| 41070.a1 |
41070g1 |
41070.a |
41070g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{17} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$44.95193355$ |
$1$ |
|
$0$ |
$31701600$ |
$3.819641$ |
$1195367376229058809/73242187500000$ |
$1.02930$ |
$6.63768$ |
$[1, 1, 0, -336096373, 2242411158733]$ |
\(y^2+xy=x^3+x^2-336096373x+2242411158733\) |
120.2.0.? |
$[(-19858683519838103879/33636249, 63264094945816749216524374582/33636249)]$ |
| 41070.b1 |
41070f1 |
41070.b |
41070f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{3} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1.416037365$ |
$1$ |
|
$4$ |
$459648$ |
$1.885355$ |
$-243087455521/5328000$ |
$1.07121$ |
$4.51089$ |
$[1, 1, 0, -177998, 29373108]$ |
\(y^2+xy=x^3+x^2-177998x+29373108\) |
1480.2.0.? |
$[(311, 1898)]$ |
| 41070.c1 |
41070a1 |
41070.c |
41070a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5 \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$6.510442458$ |
$1$ |
|
$2$ |
$266400$ |
$1.694437$ |
$-81289/1440$ |
$0.87041$ |
$4.10868$ |
$[1, 1, 0, -13718, -3482892]$ |
\(y^2+xy=x^3+x^2-13718x-3482892\) |
40.2.0.a.1 |
$[(1061, 33788)]$ |
| 41070.d1 |
41070b4 |
41070.d |
41070b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$8880$ |
$192$ |
$1$ |
$6.572916578$ |
$1$ |
|
$0$ |
$9455616$ |
$3.412277$ |
$4385367890843575421521/24975000000$ |
$1.09028$ |
$6.73048$ |
$[1, 1, 0, -466835873, 3882153327477]$ |
\(y^2+xy=x^3+x^2-466835873x+3882153327477\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 24.48.0-24.by.1.2, $\ldots$ |
$[(1556074/11, 91362165/11)]$ |
| 41070.d2 |
41070b6 |
41070.d |
41070b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{24} \cdot 5 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$8880$ |
$192$ |
$1$ |
$52.58333262$ |
$1$ |
|
$0$ |
$18911232$ |
$3.758850$ |
$3080272010107543650001/15465841417699560$ |
$1.06879$ |
$6.69722$ |
$[1, 1, 0, -414978153, -3239790411267]$ |
\(y^2+xy=x^3+x^2-414978153x-3239790411267\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 40.48.0-40.bp.1.12, 48.48.0-48.f.2.17, $\ldots$ |
$[(2350807242729757813615399/4013439507, 3562454437436727515900538684618185834/4013439507)]$ |
| 41070.d3 |
41070b3 |
41070.d |
41070b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 37^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$4440$ |
$192$ |
$1$ |
$26.29166631$ |
$1$ |
|
$2$ |
$9455616$ |
$3.412277$ |
$2788936974993502801/1593609593601600$ |
$1.18942$ |
$6.03761$ |
$[1, 1, 0, -40145953, 10979326453]$ |
\(y^2+xy=x^3+x^2-40145953x+10979326453\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 24.48.0-24.h.2.10, 40.48.0-40.e.1.13, $\ldots$ |
$[(-4635387265463/28013, 4572931281938696945/28013)]$ |
| 41070.d4 |
41070b2 |
41070.d |
41070b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$4440$ |
$192$ |
$1$ |
$13.14583315$ |
$1$ |
|
$2$ |
$4727808$ |
$3.065704$ |
$1072487167529950801/2554882560000$ |
$1.07073$ |
$5.94764$ |
$[1, 1, 0, -29193953, 60576553653]$ |
\(y^2+xy=x^3+x^2-29193953x+60576553653\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 12.24.0-4.b.1.2, 24.48.0-24.h.1.31, $\ldots$ |
$[(-67255246/109, 276801104507/109)]$ |
| 41070.d5 |
41070b1 |
41070.d |
41070b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$8880$ |
$192$ |
$1$ |
$6.572916578$ |
$1$ |
|
$3$ |
$2363904$ |
$2.719131$ |
$-66730743078481/419010969600$ |
$0.98647$ |
$5.26870$ |
$[1, 1, 0, -1156833, 1648134837]$ |
\(y^2+xy=x^3+x^2-1156833x+1648134837\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.4, $\ldots$ |
$[(145351, 55341022)]$ |
| 41070.d6 |
41070b5 |
41070.d |
41070b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 37^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$8880$ |
$192$ |
$1$ |
$52.58333262$ |
$1$ |
|
$0$ |
$18911232$ |
$3.758850$ |
$174751791402194852399/102423900876336360$ |
$1.06750$ |
$6.42711$ |
$[1, 1, 0, 159454247, 87745563373]$ |
\(y^2+xy=x^3+x^2+159454247x+87745563373\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 24.24.0.by.2, $\ldots$ |
$[(2879557531726743660017/2284992397, 4999721559699128593064585762288825/2284992397)]$ |
| 41070.e1 |
41070c1 |
41070.e |
41070c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 5 \cdot 37^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$5.192349198$ |
$1$ |
|
$2$ |
$110880$ |
$1.109783$ |
$-1369/2488320$ |
$1.22531$ |
$3.44775$ |
$[1, 1, 0, -28, 103888]$ |
\(y^2+xy=x^3+x^2-28x+103888\) |
120.2.0.? |
$[(147, 1744)]$ |
| 41070.f1 |
41070e1 |
41070.f |
41070e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.734813472$ |
$1$ |
|
$2$ |
$7776$ |
$-0.126558$ |
$1874161/1080$ |
$1.25589$ |
$2.03948$ |
$[1, 1, 0, -28, -8]$ |
\(y^2+xy=x^3+x^2-28x-8\) |
120.2.0.? |
$[(-1, 5)]$ |
| 41070.g1 |
41070d1 |
41070.g |
41070d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$13.36665769$ |
$1$ |
|
$0$ |
$590976$ |
$2.054783$ |
$-71581931663761/199800$ |
$0.94955$ |
$5.04257$ |
$[1, 1, 0, -1184213, -496507707]$ |
\(y^2+xy=x^3+x^2-1184213x-496507707\) |
888.2.0.? |
$[(36517909/161, 102124120918/161)]$ |
| 41070.h1 |
41070i1 |
41070.h |
41070i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 5 \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18701280$ |
$3.703564$ |
$61723777276716813001/3224862720$ |
$1.04080$ |
$7.00897$ |
$[1, 1, 0, -1251548042, -17042475212076]$ |
\(y^2+xy=x^3+x^2-1251548042x-17042475212076\) |
120.2.0.? |
$[]$ |
| 41070.i1 |
41070h2 |
41070.i |
41070h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3283200$ |
$2.990444$ |
$1045706191321645729/323352324000$ |
$0.99768$ |
$5.94526$ |
$[1, 1, 0, -28948902, -59947020684]$ |
\(y^2+xy=x^3+x^2-28948902x-59947020684\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[]$ |
| 41070.i2 |
41070h1 |
41070.i |
41070h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{10} \cdot 3^{5} \cdot 5^{6} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1641600$ |
$2.643871$ |
$-166456688365729/143856000000$ |
$0.96842$ |
$5.20801$ |
$[1, 1, 0, -1568902, -1195016684]$ |
\(y^2+xy=x^3+x^2-1568902x-1195016684\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[]$ |
| 41070.j1 |
41070j1 |
41070.j |
41070j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$4440$ |
$24$ |
$1$ |
$1.333939102$ |
$1$ |
|
$4$ |
$570240$ |
$1.952219$ |
$401734898254403/2176782336000$ |
$1.04586$ |
$4.38513$ |
$[1, 1, 0, 56878, 15122484]$ |
\(y^2+xy=x^3+x^2+56878x+15122484\) |
3.6.0.b.1, 111.12.0.?, 120.12.0.?, 1480.2.0.?, 4440.24.1.? |
$[(1643, 66611)]$ |
| 41070.k1 |
41070k2 |
41070.k |
41070k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 5^{3} \cdot 37^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$598752$ |
$1.899240$ |
$511189448451769/7077888000$ |
$1.03205$ |
$4.54780$ |
$[1, 0, 1, -205379, -35410498]$ |
\(y^2+xy+y=x^3-205379x-35410498\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
| 41070.k2 |
41070k1 |
41070.k |
41070k |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5 \cdot 37^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$199584$ |
$1.349936$ |
$513108539209/12597120$ |
$0.99670$ |
$3.89789$ |
$[1, 0, 1, -20564, 1108946]$ |
\(y^2+xy+y=x^3-20564x+1108946\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
| 41070.l1 |
41070p1 |
41070.l |
41070p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$0.307659718$ |
$1$ |
|
$6$ |
$1378944$ |
$2.243168$ |
$-2454365649169/1035763200$ |
$0.93614$ |
$4.77661$ |
$[1, 0, 1, -384718, 120745856]$ |
\(y^2+xy+y=x^3-384718x+120745856\) |
888.2.0.? |
$[(40, 10247)]$ |
| 41070.m1 |
41070o2 |
41070.m |
41070o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3 \cdot 5^{9} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1.313600784$ |
$1$ |
|
$2$ |
$38880$ |
$0.690743$ |
$-87637942369/11718750$ |
$0.94407$ |
$3.07127$ |
$[1, 0, 1, -1028, -14152]$ |
\(y^2+xy+y=x^3-1028x-14152\) |
3.4.0.a.1, 111.8.0.?, 120.8.0.?, 4440.16.0.? |
$[(74, 525)]$ |
| 41070.m2 |
41070o1 |
41070.m |
41070o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$0.437866928$ |
$1$ |
|
$4$ |
$12960$ |
$0.141437$ |
$45326591/27000$ |
$0.94253$ |
$2.33937$ |
$[1, 0, 1, 82, 56]$ |
\(y^2+xy+y=x^3+82x+56\) |
3.4.0.a.1, 111.8.0.?, 120.8.0.?, 4440.16.0.? |
$[(0, 7)]$ |
| 41070.n1 |
41070q1 |
41070.n |
41070q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{8} \cdot 37^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2301696$ |
$2.729649$ |
$3532642667/9375000$ |
$0.97277$ |
$5.24902$ |
$[1, 0, 1, 1607177, -1484902222]$ |
\(y^2+xy+y=x^3+1607177x-1484902222\) |
888.2.0.? |
$[]$ |
| 41070.o1 |
41070l2 |
41070.o |
41070l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 5^{9} \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$10.19785311$ |
$1$ |
|
$0$ |
$32503680$ |
$4.220192$ |
$-44164307457093068844199489/1823508000000000$ |
$1.05033$ |
$7.59816$ |
$[1, 0, 1, -10081365313, -389608204662412]$ |
\(y^2+xy+y=x^3-10081365313x-389608204662412\) |
3.4.0.a.1, 111.8.0.?, 120.8.0.?, 1480.2.0.?, 4440.16.0.? |
$[(482409136/53, 8065347026020/53)]$ |
| 41070.o2 |
41070l1 |
41070.o |
41070l |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{33} \cdot 3^{6} \cdot 5^{3} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$3.399284372$ |
$1$ |
|
$2$ |
$10834560$ |
$3.670887$ |
$-64144540676215729729/28962038218752000$ |
$1.01937$ |
$6.38706$ |
$[1, 0, 1, -114169153, -626489583244]$ |
\(y^2+xy+y=x^3-114169153x-626489583244\) |
3.4.0.a.1, 111.8.0.?, 120.8.0.?, 1480.2.0.?, 4440.16.0.? |
$[(13360, 475892)]$ |
| 41070.p1 |
41070m2 |
41070.p |
41070m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{45} \cdot 3^{5} \cdot 5 \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$28.10385271$ |
$1$ |
|
$0$ |
$35964000$ |
$4.278244$ |
$-669076050882037321/42749012087930880$ |
$1.07999$ |
$7.02673$ |
$[1, 0, 1, -276984323, -18727790604802]$ |
\(y^2+xy+y=x^3-276984323x-18727790604802\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[(5562075526503/4978, 13056784832723939209/4978)]$ |
| 41070.p2 |
41070m1 |
41070.p |
41070m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{15} \cdot 3^{15} \cdot 5^{3} \cdot 37^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$9.367950904$ |
$1$ |
|
$4$ |
$11988000$ |
$3.728939$ |
$913923942103079/58773123072000$ |
$1.06219$ |
$6.40474$ |
$[1, 0, 1, 30732652, 688165823378]$ |
\(y^2+xy+y=x^3+30732652x+688165823378\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[(224124, 106027885)]$ |
| 41070.q1 |
41070r1 |
41070.q |
41070r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{18} \cdot 3^{8} \cdot 5 \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$186624$ |
$1.498522$ |
$14910549714397/8599633920$ |
$1.09747$ |
$3.87515$ |
$[1, 0, 1, -18973, 56888]$ |
\(y^2+xy+y=x^3-18973x+56888\) |
2.3.0.a.1, 40.6.0.e.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[]$ |
| 41070.q2 |
41070r2 |
41070.q |
41070r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 5^{2} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$373248$ |
$1.845095$ |
$948905782000163/550998028800$ |
$1.10892$ |
$4.26612$ |
$[1, 0, 1, 75747, 473656]$ |
\(y^2+xy+y=x^3+75747x+473656\) |
2.3.0.a.1, 40.6.0.e.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[]$ |
| 41070.r1 |
41070n2 |
41070.r |
41070n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$5.941167449$ |
$1$ |
|
$0$ |
$218880$ |
$1.607832$ |
$14688124849/123210$ |
$0.88296$ |
$4.24321$ |
$[1, 0, 1, -69848, 7047668]$ |
\(y^2+xy+y=x^3-69848x+7047668\) |
2.3.0.a.1, 40.6.0.b.1, 444.6.0.?, 4440.12.0.? |
$[(23787/14, 1483133/14)]$ |
| 41070.r2 |
41070n1 |
41070.r |
41070n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4440$ |
$12$ |
$0$ |
$2.970583724$ |
$1$ |
|
$1$ |
$109440$ |
$1.261259$ |
$-117649/11100$ |
$0.96712$ |
$3.61865$ |
$[1, 0, 1, -1398, 257428]$ |
\(y^2+xy+y=x^3-1398x+257428\) |
2.3.0.a.1, 40.6.0.c.1, 222.6.0.?, 4440.12.0.? |
$[(-803/4, 30323/4)]$ |
| 41070.s1 |
41070t1 |
41070.s |
41070t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 5 \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$505440$ |
$1.898104$ |
$61723777276716813001/3224862720$ |
$1.04080$ |
$4.96949$ |
$[1, 1, 1, -914206, -336826021]$ |
\(y^2+xy+y=x^3+x^2-914206x-336826021\) |
120.2.0.? |
$[]$ |
| 41070.t1 |
41070u1 |
41070.t |
41070u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 37^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$4440$ |
$24$ |
$1$ |
$2.736888849$ |
$1$ |
|
$0$ |
$21098880$ |
$3.757679$ |
$401734898254403/2176782336000$ |
$1.04586$ |
$6.42462$ |
$[1, 1, 1, 77865269, 764831199353]$ |
\(y^2+xy+y=x^3+x^2+77865269x+764831199353\) |
3.6.0.b.1, 111.12.0.?, 120.12.0.?, 1480.2.0.?, 4440.24.1.? |
$[(-14509/7, 295458906/7)]$ |
| 41070.u1 |
41070s1 |
41070.u |
41070s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{5} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$984960$ |
$2.187847$ |
$918046641959/674325000$ |
$0.94791$ |
$4.63248$ |
$[1, 1, 1, 277194, -29032197]$ |
\(y^2+xy+y=x^3+x^2+277194x-29032197\) |
1480.2.0.? |
$[]$ |
| 41070.v1 |
41070bb1 |
41070.v |
41070bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{17} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.224879264$ |
$1$ |
|
$4$ |
$856800$ |
$2.014183$ |
$1195367376229058809/73242187500000$ |
$1.02930$ |
$4.59820$ |
$[1, 1, 1, -245505, 44170527]$ |
\(y^2+xy+y=x^3+x^2-245505x+44170527\) |
120.2.0.? |
$[(-223, 9486)]$ |
| 41070.w1 |
41070ba4 |
41070.w |
41070ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 37^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1480$ |
$48$ |
$0$ |
$56.55832834$ |
$1$ |
|
$0$ |
$269660160$ |
$4.956642$ |
$5087799435928552778197163696329/125914832087040$ |
$1.07238$ |
$8.69525$ |
$[1, 1, 1, -490537490565, -132238249729481205]$ |
\(y^2+xy+y=x^3+x^2-490537490565x-132238249729481205\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.v.1.7, 296.24.0.?, $\ldots$ |
$[(-8110842662833236786372316179/141626671615, 574436539109195387130168666850293685724/141626671615)]$ |
| 41070.w2 |
41070ba2 |
41070.w |
41070ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{22} \cdot 3^{16} \cdot 5^{2} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1480$ |
$48$ |
$0$ |
$28.27916417$ |
$1$ |
|
$2$ |
$134830080$ |
$4.610069$ |
$1242142983306846366056931529/6179359141291622400$ |
$1.05738$ |
$7.91225$ |
$[1, 1, 1, -30658629765, -2066227052243445]$ |
\(y^2+xy+y=x^3+x^2-30658629765x-2066227052243445\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.6, 296.24.0.?, 740.24.0.?, $\ldots$ |
$[(-3043120674951627/173459, 735661265784016136332/173459)]$ |
| 41070.w3 |
41070ba3 |
41070.w |
41070ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{32} \cdot 5^{4} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1480$ |
$48$ |
$0$ |
$14.13958208$ |
$1$ |
|
$0$ |
$269660160$ |
$4.956642$ |
$-1180159344892952613848670409/87759036144023189760000$ |
$1.05825$ |
$7.91882$ |
$[1, 1, 1, -30139943045, -2139511469013493]$ |
\(y^2+xy+y=x^3+x^2-30139943045x-2139511469013493\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.7, 296.24.0.?, 1480.48.0.? |
$[(2606551343/43, 131955708152692/43)]$ |
| 41070.w4 |
41070ba1 |
41070.w |
41070ba |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{44} \cdot 3^{8} \cdot 5 \cdot 37^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1480$ |
$48$ |
$0$ |
$14.13958208$ |
$1$ |
|
$3$ |
$67415040$ |
$4.263496$ |
$318929057401476905525449/21353131537921474560$ |
$1.03975$ |
$7.13400$ |
$[1, 1, 1, -1948618885, -31135157021173]$ |
\(y^2+xy+y=x^3+x^2-1948618885x-31135157021173\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.bb.1.15, 296.24.0.?, 370.6.0.?, $\ldots$ |
$[(1567458425/163, 33205976496372/163)]$ |
| 41070.x1 |
41070v1 |
41070.x |
41070v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.744340273$ |
$1$ |
|
$4$ |
$7200$ |
$-0.111022$ |
$-81289/1440$ |
$0.87041$ |
$2.06919$ |
$[1, 1, 1, -10, -73]$ |
\(y^2+xy+y=x^3+x^2-10x-73\) |
40.2.0.a.1 |
$[(5, 3)]$ |
| 41070.y1 |
41070w1 |
41070.y |
41070w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5 \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$5.992512960$ |
$1$ |
|
$0$ |
$109440$ |
$1.162573$ |
$357911/3330$ |
$0.81814$ |
$3.49869$ |
$[1, 1, 1, 2025, -135345]$ |
\(y^2+xy+y=x^3+x^2+2025x-135345\) |
1480.2.0.? |
$[(18295/14, 2441545/14)]$ |
| 41070.z1 |
41070x1 |
41070.z |
41070x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{5} \cdot 5 \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$7.295321574$ |
$1$ |
|
$2$ |
$4102560$ |
$2.915241$ |
$-1369/2488320$ |
$1.22531$ |
$5.48723$ |
$[1, 1, 1, -39045, 5262820875]$ |
\(y^2+xy+y=x^3+x^2-39045x+5262820875\) |
120.2.0.? |
$[(-195, 72644)]$ |
| 41070.ba1 |
41070z1 |
41070.ba |
41070z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3 \cdot 5^{2} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.862553408$ |
$1$ |
|
$0$ |
$153216$ |
$1.218147$ |
$-4826809/5550$ |
$0.92507$ |
$3.59120$ |
$[1, 1, 1, -4820, 220595]$ |
\(y^2+xy+y=x^3+x^2-4820x+220595\) |
888.2.0.? |
$[(1207/2, 39859/2)]$ |
| 41070.bb1 |
41070y1 |
41070.bb |
41070y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.557800642$ |
$1$ |
|
$0$ |
$287712$ |
$1.678902$ |
$1874161/1080$ |
$1.25589$ |
$4.07897$ |
$[1, 1, 1, -39045, 176787]$ |
\(y^2+xy+y=x^3+x^2-39045x+176787\) |
120.2.0.? |
$[(-1715/3, 25832/3)]$ |
| 41070.bc1 |
41070bd2 |
41070.bc |
41070bd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3 \cdot 5^{9} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$45.15242339$ |
$1$ |
|
$0$ |
$1438560$ |
$2.496201$ |
$-87637942369/11718750$ |
$0.94407$ |
$5.11075$ |
$[1, 0, 0, -1406676, -712608594]$ |
\(y^2+xy=x^3-1406676x-712608594\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[(31540221637010657531/114319238, 147229748822811794802436634281/114319238)]$ |
| 41070.bc2 |
41070bd1 |
41070.bc |
41070bd |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{3} \cdot 37^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$15.05080779$ |
$1$ |
|
$2$ |
$479520$ |
$1.946896$ |
$45326591/27000$ |
$0.94253$ |
$4.37886$ |
$[1, 0, 0, 112914, 2510460]$ |
\(y^2+xy=x^3+112914x+2510460\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[(-54834/181, 9039726594/181)]$ |
| 41070.bd1 |
41070be4 |
41070.bd |
41070be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 5 \cdot 37^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$6.594085381$ |
$1$ |
|
$0$ |
$8273664$ |
$3.142601$ |
$127568139540190201/59114336463360$ |
$1.00920$ |
$5.74722$ |
$[1, 0, 0, -14357416, -9348082624]$ |
\(y^2+xy=x^3-14357416x-9348082624\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$ |
$[(-63160/7, 28953632/7)]$ |
| 41070.bd2 |
41070be2 |
41070.bd |
41070be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$2.198028460$ |
$1$ |
|
$2$ |
$2757888$ |
$2.593296$ |
$16581570075765001/998001000$ |
$0.97935$ |
$5.55515$ |
$[1, 0, 0, -7272841, 7548259121]$ |
\(y^2+xy=x^3-7272841x+7548259121\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$ |
$[(-700, 111239)]$ |
| 41070.bd3 |
41070be1 |
41070.bd |
41070be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{6} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1.099014230$ |
$1$ |
|
$5$ |
$1378944$ |
$2.246723$ |
$-3375675045001/999000000$ |
$0.93609$ |
$4.79394$ |
$[1, 0, 0, -427841, 132386121]$ |
\(y^2+xy=x^3-427841x+132386121\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.c.1, 111.8.0.?, $\ldots$ |
$[(558, 7935)]$ |
| 41070.bd4 |
41070be3 |
41070.bd |
41070be |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{18} \cdot 3 \cdot 5^{2} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$3.297042690$ |
$1$ |
|
$1$ |
$4136832$ |
$2.796028$ |
$1367594037332999/995878502400$ |
$0.99161$ |
$5.32026$ |
$[1, 0, 0, 3165784, -1101664704]$ |
\(y^2+xy=x^3+3165784x-1101664704\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 40.6.0.c.1, 111.8.0.?, $\ldots$ |
$[(182104/3, 77732464/3)]$ |
| 41070.be1 |
41070bf1 |
41070.be |
41070bf |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3 \cdot 5^{8} \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$62208$ |
$0.924191$ |
$3532642667/9375000$ |
$0.97277$ |
$3.20954$ |
$[1, 0, 0, 1174, -29220]$ |
\(y^2+xy=x^3+1174x-29220\) |
888.2.0.? |
$[]$ |
