| 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 |
| 413270.a1 |
413270a1 |
413270.a |
413270a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{6} \cdot 5^{3} \cdot 11^{5} \cdot 13^{5} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24310$ |
$2$ |
$0$ |
$0.259993304$ |
$1$ |
|
$8$ |
$99532800$ |
$3.151752$ |
$-816773715885753081/8132406816248000$ |
$0.95839$ |
$4.72826$ |
$[1, -1, 0, -5628040, -21925746944]$ |
\(y^2+xy=x^3-x^2-5628040x-21925746944\) |
24310.2.0.? |
$[(16792, 2140608)]$ |
| 413270.b1 |
413270b1 |
413270.b |
413270b |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{5} \cdot 11^{2} \cdot 13^{2} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.085701233$ |
$1$ |
|
$32$ |
$2194560$ |
$1.320261$ |
$-5372095414761/255612500$ |
$0.88819$ |
$3.14913$ |
$[1, -1, 0, -15949, 810505]$ |
\(y^2+xy=x^3-x^2-15949x+810505\) |
20.2.0.a.1 |
$[(-4, 937), (51, 332)]$ |
| 413270.c1 |
413270c1 |
413270.c |
413270c |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{2} \cdot 11^{5} \cdot 13^{5} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$1.009519468$ |
$1$ |
|
$2$ |
$182851200$ |
$3.409271$ |
$-425560586553764971242956811369/5979710894300$ |
$1.06850$ |
$5.71377$ |
$[1, -1, 0, -1036044739, 12835850254945]$ |
\(y^2+xy=x^3-x^2-1036044739x+12835850254945\) |
286.2.0.? |
$[(18586, -8773)]$ |
| 413270.d1 |
413270d2 |
413270.d |
413270d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \cdot 13 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$2.545568052$ |
$1$ |
|
$12$ |
$4915200$ |
$1.876905$ |
$1205943158724121/1258400$ |
$0.93093$ |
$3.99984$ |
$[1, 0, 1, -640864, 197414286]$ |
\(y^2+xy+y=x^3-640864x+197414286\) |
2.3.0.a.1, 104.6.0.?, 220.6.0.?, 5720.12.0.? |
$[(466, -89), (448, 298)]$ |
| 413270.d2 |
413270d1 |
413270.d |
413270d |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5 \cdot 11 \cdot 13^{2} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5720$ |
$12$ |
$0$ |
$2.545568052$ |
$1$ |
|
$13$ |
$2457600$ |
$1.530331$ |
$-287626699801/9518080$ |
$0.87035$ |
$3.35913$ |
$[1, 0, 1, -39744, 3132302]$ |
\(y^2+xy+y=x^3-39744x+3132302\) |
2.3.0.a.1, 104.6.0.?, 110.6.0.?, 5720.12.0.? |
$[(-10, 1883), (58, 982)]$ |
| 413270.e1 |
413270e2 |
413270.e |
413270e |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 11^{2} \cdot 13^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$1560$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$65038464$ |
$2.991642$ |
$-304097929220809/4153703125000$ |
$0.92197$ |
$4.57915$ |
$[1, 0, 1, -2676869, -8361680808]$ |
\(y^2+xy+y=x^3-2676869x-8361680808\) |
3.8.0-3.a.1.1, 520.2.0.?, 1560.16.0.? |
$[]$ |
| 413270.e2 |
413270e1 |
413270.e |
413270e |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 5^{3} \cdot 11^{6} \cdot 13 \cdot 17^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$1560$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$21679488$ |
$2.442333$ |
$409062127751/5757573250$ |
$0.87745$ |
$4.06378$ |
$[1, 0, 1, 295496, 298601856]$ |
\(y^2+xy+y=x^3+295496x+298601856\) |
3.8.0-3.a.1.2, 520.2.0.?, 1560.16.0.? |
$[]$ |
| 413270.f1 |
413270f1 |
413270.f |
413270f |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 5 \cdot 11^{13} \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$97240$ |
$2$ |
$0$ |
$19.41598502$ |
$1$ |
|
$0$ |
$40668160$ |
$3.084740$ |
$532170194747455009927/18382653762400378880$ |
$1.00439$ |
$4.66255$ |
$[1, 0, 1, 2870061, -14337044434]$ |
\(y^2+xy+y=x^3+2870061x-14337044434\) |
97240.2.0.? |
$[(831853871/410, 23808964898101/410)]$ |
| 413270.g1 |
413270g1 |
413270.g |
413270g |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{5} \cdot 5^{5} \cdot 11 \cdot 13 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$97240$ |
$2$ |
$0$ |
$2.183846365$ |
$1$ |
|
$2$ |
$537600$ |
$0.761438$ |
$557441767/14300000$ |
$0.84122$ |
$2.50601$ |
$[1, 0, 1, 291, 12632]$ |
\(y^2+xy+y=x^3+291x+12632\) |
97240.2.0.? |
$[(-10, 98)]$ |
| 413270.h1 |
413270h1 |
413270.h |
413270h |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{11} \cdot 5^{3} \cdot 11^{5} \cdot 13^{5} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$97240$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$244147200$ |
$3.919643$ |
$-7378169362234999433/15308059889408000$ |
$0.96196$ |
$5.44909$ |
$[1, 0, 1, -199260738, 2318235120788]$ |
\(y^2+xy+y=x^3-199260738x+2318235120788\) |
97240.2.0.? |
$[]$ |
| 413270.i1 |
413270i2 |
413270.i |
413270i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 5^{10} \cdot 11^{2} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48620$ |
$12$ |
$0$ |
$0.546355417$ |
$1$ |
|
$8$ |
$14745600$ |
$2.447506$ |
$7070038871258089/1044570312500$ |
$0.88019$ |
$4.13660$ |
$[1, 0, 1, -1155573, -412699972]$ |
\(y^2+xy+y=x^3-1155573x-412699972\) |
2.3.0.a.1, 220.6.0.?, 442.6.0.?, 48620.12.0.? |
$[(-656, 8275)]$ |
| 413270.i2 |
413270i1 |
413270.i |
413270i |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{5} \cdot 11 \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$48620$ |
$12$ |
$0$ |
$1.092710834$ |
$1$ |
|
$7$ |
$7372800$ |
$2.100933$ |
$8280413986391/26862550000$ |
$0.85633$ |
$3.73276$ |
$[1, 0, 1, 121807, -35106444]$ |
\(y^2+xy+y=x^3+121807x-35106444\) |
2.3.0.a.1, 110.6.0.?, 884.6.0.?, 48620.12.0.? |
$[(500, 12032)]$ |
| 413270.j1 |
413270j2 |
413270.j |
413270j |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{19} \cdot 5^{8} \cdot 11^{4} \cdot 13 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1243938816$ |
$4.753281$ |
$9479349559781704358835592969/940887228513689600000000$ |
$0.99434$ |
$6.29594$ |
$[1, 0, 1, -12742347703, -503924486683494]$ |
\(y^2+xy+y=x^3-12742347703x-503924486683494\) |
2.3.0.a.1, 68.6.0.c.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 413270.j2 |
413270j1 |
413270.j |
413270j |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{38} \cdot 5^{4} \cdot 11^{2} \cdot 13^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1768$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$621969408$ |
$4.406700$ |
$111005526397046706466266889/17259916551079854080000$ |
$0.98286$ |
$5.95204$ |
$[1, 0, 1, -2893597623, 51233797325978]$ |
\(y^2+xy+y=x^3-2893597623x+51233797325978\) |
2.3.0.a.1, 34.6.0.a.1, 104.6.0.?, 1768.12.0.? |
$[]$ |
| 413270.k1 |
413270k2 |
413270.k |
413270k |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{9} \cdot 5^{5} \cdot 11^{3} \cdot 13^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$291720$ |
$16$ |
$0$ |
$3.468498785$ |
$1$ |
|
$2$ |
$100776960$ |
$3.511974$ |
$49046709847093926753241/22986606385600000$ |
$0.95453$ |
$5.35471$ |
$[1, 1, 0, -220390683, -1258907184227]$ |
\(y^2+xy=x^3+x^2-220390683x-1258907184227\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 17160.8.0.?, 97240.2.0.?, 291720.16.0.? |
$[(-8703, 12299)]$ |
| 413270.k2 |
413270k1 |
413270.k |
413270k |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 5^{15} \cdot 11 \cdot 13 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$291720$ |
$16$ |
$0$ |
$10.40549635$ |
$1$ |
|
$0$ |
$33592320$ |
$2.962669$ |
$2486057212701003241/593505859375000$ |
$0.91625$ |
$4.58995$ |
$[1, 1, 0, -8156308, 6868562648]$ |
\(y^2+xy=x^3+x^2-8156308x+6868562648\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 17160.8.0.?, 97240.2.0.?, 291720.16.0.? |
$[(-358613/11, 96275239/11)]$ |
| 413270.l1 |
413270l3 |
413270.l |
413270l |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{9} \cdot 5 \cdot 11^{9} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$875160$ |
$144$ |
$3$ |
$5.078194241$ |
$1$ |
|
$0$ |
$39191040$ |
$3.110481$ |
$-89783052551043953401/1020142489034240$ |
$0.98506$ |
$4.86880$ |
$[1, 1, 0, -26960093, -54417931907]$ |
\(y^2+xy=x^3+x^2-26960093x-54417931907\) |
3.4.0.a.1, 9.12.0.a.1, 51.8.0-3.a.1.1, 117.36.0.?, 153.24.0.?, $\ldots$ |
$[(57999/2, 12850039/2)]$ |
| 413270.l2 |
413270l1 |
413270.l |
413270l |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 5^{9} \cdot 11 \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$875160$ |
$144$ |
$3$ |
$5.078194241$ |
$1$ |
|
$2$ |
$4354560$ |
$2.011868$ |
$-12814546750201/7261718750$ |
$0.91162$ |
$3.70122$ |
$[1, 1, 0, -140893, 28578563]$ |
\(y^2+xy=x^3+x^2-140893x+28578563\) |
3.4.0.a.1, 9.12.0.a.1, 51.8.0-3.a.1.2, 117.36.0.?, 153.24.0.?, $\ldots$ |
$[(-233, 7104)]$ |
| 413270.l3 |
413270l2 |
413270.l |
413270l |
$3$ |
$9$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5^{3} \cdot 11^{3} \cdot 13^{6} \cdot 17^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$875160$ |
$144$ |
$3$ |
$1.692731413$ |
$1$ |
|
$4$ |
$13063680$ |
$2.561172$ |
$6497225437879799/6424482779000$ |
$0.95879$ |
$4.13007$ |
$[1, 1, 0, 1123482, -385377812]$ |
\(y^2+xy=x^3+x^2+1123482x-385377812\) |
3.12.0.a.1, 51.24.0-3.a.1.1, 117.36.0.?, 440.2.0.?, 1320.24.1.?, $\ldots$ |
$[(411, 11878)]$ |
| 413270.m1 |
413270m2 |
413270.m |
413270m |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{6} \cdot 5 \cdot 11^{3} \cdot 13 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$72930$ |
$16$ |
$0$ |
$6.081403790$ |
$1$ |
|
$2$ |
$23887872$ |
$2.790058$ |
$-576470679264213247801/94128320$ |
$0.97384$ |
$5.01109$ |
$[1, 1, 0, -50108993, -136548848843]$ |
\(y^2+xy=x^3+x^2-50108993x-136548848843\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 4290.8.0.?, 24310.2.0.?, 72930.16.0.? |
$[(38642, 7439191)]$ |
| 413270.m2 |
413270m1 |
413270.m |
413270m |
$2$ |
$3$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 5^{3} \cdot 11 \cdot 13^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$72930$ |
$16$ |
$0$ |
$2.027134596$ |
$1$ |
|
$2$ |
$7962624$ |
$2.240749$ |
$-1042621590184201/59366235500$ |
$0.86553$ |
$3.99584$ |
$[1, 1, 0, -610518, -192685328]$ |
\(y^2+xy=x^3+x^2-610518x-192685328\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 4290.8.0.?, 24310.2.0.?, 72930.16.0.? |
$[(1072, 19116)]$ |
| 413270.n1 |
413270n1 |
413270.n |
413270n |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{30} \cdot 5^{2} \cdot 11 \cdot 13^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$5.907927082$ |
$1$ |
|
$0$ |
$1599523200$ |
$4.699158$ |
$2280132575778753142626599/3131285987327265996800$ |
$0.99651$ |
$6.11428$ |
$[1, 1, 0, 5239332003, 171044953926781]$ |
\(y^2+xy=x^3+x^2+5239332003x+171044953926781\) |
286.2.0.? |
$[(39013162/11, 250135159449/11)]$ |
| 413270.o1 |
413270o1 |
413270.o |
413270o |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5 \cdot 11 \cdot 13^{3} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$1.894550$ |
$3342032927351/2103495680$ |
$0.85036$ |
$3.54449$ |
$[1, 1, 0, 90018, 3114484]$ |
\(y^2+xy=x^3+x^2+90018x+3114484\) |
24310.2.0.? |
$[]$ |
| 413270.p1 |
413270p1 |
413270.p |
413270p |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{18} \cdot 5^{4} \cdot 11 \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$286$ |
$2$ |
$0$ |
$0.680420457$ |
$1$ |
|
$4$ |
$850176$ |
$1.148685$ |
$-7679704613689/23429120000$ |
$0.87770$ |
$2.87446$ |
$[1, 1, 0, -2717, 135421]$ |
\(y^2+xy=x^3+x^2-2717x+135421\) |
286.2.0.? |
$[(122, 1219)]$ |
| 413270.q1 |
413270q1 |
413270.q |
413270q |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{5} \cdot 11^{8} \cdot 13^{3} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$232243200$ |
$3.993462$ |
$1052593215129982601686521/102477950034803200000$ |
$1.07450$ |
$5.59182$ |
$[1, -1, 0, -612458680, 5320793467200]$ |
\(y^2+xy=x^3-x^2-612458680x+5320793467200\) |
2.3.0.a.1, 4.6.0.b.1, 136.12.0.?, 520.12.0.?, 2210.6.0.?, $\ldots$ |
$[]$ |
| 413270.q2 |
413270q2 |
413270.q |
413270q |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{6} \cdot 5^{10} \cdot 11^{4} \cdot 13^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$8840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$464486400$ |
$4.340034$ |
$1868253000330479166244359/12764644221525625000000$ |
$1.09744$ |
$5.82024$ |
$[1, -1, 0, 741541000, 25549819486336]$ |
\(y^2+xy=x^3-x^2+741541000x+25549819486336\) |
2.3.0.a.1, 4.6.0.a.1, 68.12.0-4.a.1.1, 260.12.0.?, 4420.24.0.?, $\ldots$ |
$[]$ |
| 413270.r1 |
413270r3 |
413270.r |
413270r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 11^{3} \cdot 13^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95551488$ |
$3.597076$ |
$104182073026177262613561/92287695120335000$ |
$0.97519$ |
$5.41297$ |
$[1, -1, 0, -283305020, 1834060447896]$ |
\(y^2+xy=x^3-x^2-283305020x+1834060447896\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 440.24.0.?, 680.24.0.?, $\ldots$ |
$[]$ |
| 413270.r2 |
413270r4 |
413270.r |
413270r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 5 \cdot 11^{12} \cdot 13^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$95551488$ |
$3.597076$ |
$30345289110955815984441/360668189052777320$ |
$0.97075$ |
$5.31758$ |
$[1, -1, 0, -187796300, -980283370360]$ |
\(y^2+xy=x^3-x^2-187796300x-980283370360\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 340.12.0.?, 440.24.0.?, $\ldots$ |
$[]$ |
| 413270.r3 |
413270r2 |
413270.r |
413270r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 11^{6} \cdot 13^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$47775744$ |
$3.250504$ |
$47056867915469818041/23396308840590400$ |
$1.07212$ |
$4.81734$ |
$[1, -1, 0, -21736900, 14644918800]$ |
\(y^2+xy=x^3-x^2-21736900x+14644918800\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 220.12.0.?, 340.12.0.?, 440.24.0.?, $\ldots$ |
$[]$ |
| 413270.r4 |
413270r1 |
413270.r |
413270r |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5 \cdot 11^{3} \cdot 13^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$7480$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$2.903931$ |
$569226058190449479/384760426885120$ |
$1.06061$ |
$4.47595$ |
$[1, -1, 0, 4989820, 1757294416]$ |
\(y^2+xy=x^3-x^2+4989820x+1757294416\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 110.6.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 413270.s1 |
413270s2 |
413270.s |
413270s |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 11^{8} \cdot 13^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$407764992$ |
$4.301422$ |
$203909564656323837489177/30611520001205000$ |
$1.07603$ |
$6.12216$ |
$[1, -1, 0, -6024459085, 179958555764925]$ |
\(y^2+xy=x^3-x^2-6024459085x+179958555764925\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 413270.s2 |
413270s1 |
413270.s |
413270s |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 11^{4} \cdot 13^{8} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$203882496$ |
$3.954849$ |
$65053714566020016537/19108981577857600$ |
$0.98318$ |
$5.49965$ |
$[1, -1, 0, -411651365, 2255940788181]$ |
\(y^2+xy=x^3-x^2-411651365x+2255940788181\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 413270.t1 |
413270t2 |
413270.t |
413270t |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$97240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$817152$ |
$1.206076$ |
$4588363957113/2654744950$ |
$1.11216$ |
$2.91174$ |
$[1, -1, 0, -5885, 3991]$ |
\(y^2+xy=x^3-x^2-5885x+3991\) |
2.3.0.a.1, 1496.6.0.?, 4420.6.0.?, 5720.6.0.?, 97240.12.0.? |
$[]$ |
| 413270.t2 |
413270t1 |
413270.t |
413270t |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 5 \cdot 11^{2} \cdot 13^{3} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$97240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$408576$ |
$0.859503$ |
$1457117049753/5316740$ |
$0.93162$ |
$2.82304$ |
$[1, -1, 0, -4015, -96615]$ |
\(y^2+xy=x^3-x^2-4015x-96615\) |
2.3.0.a.1, 1496.6.0.?, 2210.6.0.?, 5720.6.0.?, 97240.12.0.? |
$[]$ |
| 413270.u1 |
413270u2 |
413270.u |
413270u |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$97240$ |
$12$ |
$0$ |
$2.948986883$ |
$1$ |
|
$4$ |
$1622016$ |
$1.558674$ |
$187247420361/22729850$ |
$0.86761$ |
$3.32164$ |
$[1, -1, 0, -34445, 2195971]$ |
\(y^2+xy=x^3-x^2-34445x+2195971\) |
2.3.0.a.1, 104.6.0.?, 3740.6.0.?, 97240.12.0.? |
$[(63, 491)]$ |
| 413270.u2 |
413270u1 |
413270.u |
413270u |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 5 \cdot 11 \cdot 13^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$97240$ |
$12$ |
$0$ |
$5.897973766$ |
$1$ |
|
$3$ |
$811008$ |
$1.212099$ |
$139798359/632060$ |
$0.82641$ |
$2.91325$ |
$[1, -1, 0, 3125, 174705]$ |
\(y^2+xy=x^3-x^2+3125x+174705\) |
2.3.0.a.1, 104.6.0.?, 1870.6.0.?, 97240.12.0.? |
$[(323, 5738)]$ |
| 413270.v1 |
413270v1 |
413270.v |
413270v |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{25} \cdot 5^{13} \cdot 11^{4} \cdot 13 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$46.69813103$ |
$1$ |
|
$0$ |
$78624000$ |
$3.352890$ |
$256857651583797016404999/7796039680000000000000$ |
$1.03449$ |
$4.91111$ |
$[1, -1, 0, 8755660, 71523790800]$ |
\(y^2+xy=x^3-x^2+8755660x+71523790800\) |
520.2.0.? |
$[(610631466670935293/170002703, 1315638439050458614501274645048/170002703)]$ |
| 413270.w1 |
413270w1 |
413270.w |
413270w |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{25} \cdot 5^{13} \cdot 11^{4} \cdot 13 \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$520$ |
$2$ |
$0$ |
$4.344640307$ |
$1$ |
|
$8$ |
$1336608000$ |
$4.769501$ |
$256857651583797016404999/7796039680000000000000$ |
$1.03449$ |
$6.22564$ |
$[1, -1, 0, 2530385686, 351406505743220]$ |
\(y^2+xy=x^3-x^2+2530385686x+351406505743220\) |
520.2.0.? |
$[(132001, 54573062), (125141/4, 1233599093/4)]$ |
| 413270.x1 |
413270x2 |
413270.x |
413270x |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 5^{2} \cdot 11 \cdot 13^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$97240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13891584$ |
$2.622684$ |
$4588363957113/2654744950$ |
$1.11216$ |
$4.22627$ |
$[1, -1, 0, -1700819, 12804583]$ |
\(y^2+xy=x^3-x^2-1700819x+12804583\) |
2.3.0.a.1, 1496.6.0.?, 4420.6.0.?, 5720.6.0.?, 97240.12.0.? |
$[]$ |
| 413270.x2 |
413270x1 |
413270.x |
413270x |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 5 \cdot 11^{2} \cdot 13^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$97240$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6945792$ |
$2.276108$ |
$1457117049753/5316740$ |
$0.93162$ |
$4.13757$ |
$[1, -1, 0, -1160389, -479310975]$ |
\(y^2+xy=x^3-x^2-1160389x-479310975\) |
2.3.0.a.1, 1496.6.0.?, 2210.6.0.?, 5720.6.0.?, 97240.12.0.? |
$[]$ |
| 413270.y1 |
413270y2 |
413270.y |
413270y |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 11^{8} \cdot 13^{4} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$0.988719129$ |
$1$ |
|
$14$ |
$23986176$ |
$2.884815$ |
$203909564656323837489177/30611520001205000$ |
$1.07603$ |
$4.80763$ |
$[1, -1, 0, -20845879, 36633961653]$ |
\(y^2+xy=x^3-x^2-20845879x+36633961653\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(2427, 17019), (2537, 7229)]$ |
| 413270.y2 |
413270y1 |
413270.y |
413270y |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 11^{4} \cdot 13^{8} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$0.988719129$ |
$1$ |
|
$17$ |
$11993088$ |
$2.538242$ |
$65053714566020016537/19108981577857600$ |
$0.98318$ |
$4.18512$ |
$[1, -1, 0, -1424399, 459513005]$ |
\(y^2+xy=x^3-x^2-1424399x+459513005\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(191, 13847), (3766, 218337)]$ |
| 413270.z1 |
413270z4 |
413270.z |
413270z |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 5^{4} \cdot 11^{2} \cdot 13 \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$10.74649069$ |
$1$ |
|
$0$ |
$53084160$ |
$3.328846$ |
$149681453444522642889/54864332273465000$ |
$1.06253$ |
$4.90682$ |
$[1, -1, 0, -31967789, -42115445027]$ |
\(y^2+xy=x^3-x^2-31967789x-42115445027\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(-14303/3, 1867117/3)]$ |
| 413270.z2 |
413270z2 |
413270.z |
413270z |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 5^{2} \cdot 11^{4} \cdot 13^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8840$ |
$48$ |
$0$ |
$5.373245346$ |
$1$ |
|
$4$ |
$26542080$ |
$2.982273$ |
$11999064653814830409/330653491854400$ |
$1.04211$ |
$4.71167$ |
$[1, -1, 0, -13783909, 19226055765]$ |
\(y^2+xy=x^3-x^2-13783909x+19226055765\) |
2.6.0.a.1, 40.12.0.b.1, 104.12.0.?, 136.12.0.?, 260.12.0.?, $\ldots$ |
$[(-191, 147919)]$ |
| 413270.z3 |
413270z1 |
413270.z |
413270z |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 5 \cdot 11^{2} \cdot 13 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$10.74649069$ |
$1$ |
|
$1$ |
$13271040$ |
$2.635700$ |
$11759166443604582729/9310146560$ |
$0.97987$ |
$4.71011$ |
$[1, -1, 0, -13691429, 19502811413]$ |
\(y^2+xy=x^3-x^2-13691429x+19502811413\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.y.1, 104.12.0.?, 130.6.0.?, $\ldots$ |
$[(2369339/31, 767640131/31)]$ |
| 413270.z4 |
413270z3 |
413270.z |
413270z |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 5 \cdot 11^{8} \cdot 13^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8840$ |
$48$ |
$0$ |
$10.74649069$ |
$1$ |
|
$0$ |
$53084160$ |
$3.328846$ |
$114106002323284791/70773834242785960$ |
$0.99852$ |
$4.89113$ |
$[1, -1, 0, 2920291, 62854085325]$ |
\(y^2+xy=x^3-x^2+2920291x+62854085325\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.s.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[(173409/11, 351148389/11)]$ |
| 413270.ba1 |
413270ba1 |
413270.ba |
413270ba |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 5 \cdot 11 \cdot 13 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$97240$ |
$2$ |
$0$ |
$8.493872143$ |
$1$ |
|
$0$ |
$1096704$ |
$1.365236$ |
$-30634915689/1555840$ |
$0.77630$ |
$3.18816$ |
$[1, -1, 0, -18839, -1033315]$ |
\(y^2+xy=x^3-x^2-18839x-1033315\) |
97240.2.0.? |
$[(114715/26, 12513645/26)]$ |
| 413270.bb1 |
413270bb4 |
413270.bb |
413270bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 5^{2} \cdot 11^{4} \cdot 13 \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19448$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$26542080$ |
$2.871235$ |
$19625516081291894409/12717441994400$ |
$0.98806$ |
$4.74972$ |
$[1, -1, 0, -16240409, -25172725235]$ |
\(y^2+xy=x^3-x^2-16240409x-25172725235\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 413270.bb2 |
413270bb3 |
413270.bb |
413270bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{5} \cdot 5^{8} \cdot 11 \cdot 13^{4} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19448$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26542080$ |
$2.871235$ |
$4391036020850186889/66761337500000$ |
$0.93113$ |
$4.63393$ |
$[1, -1, 0, -9859289, 11760512973]$ |
\(y^2+xy=x^3-x^2-9859289x+11760512973\) |
2.3.0.a.1, 4.6.0.c.1, 44.12.0-4.c.1.1, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
| 413270.bb3 |
413270bb2 |
413270.bb |
413270bb |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{4} \cdot 11^{2} \cdot 13^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$19448$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$13271040$ |
$2.524662$ |
$8165407062326409/3782247040000$ |
$0.97119$ |
$4.14774$ |
$[1, -1, 0, -1212409, -229250835]$ |
\(y^2+xy=x^3-x^2-1212409x-229250835\) |
2.6.0.a.1, 44.12.0-2.a.1.1, 104.12.0.?, 136.12.0.?, 884.12.0.?, $\ldots$ |
$[]$ |
