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 |
34914.a1 |
34914g1 |
34914.a |
34914g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{7} \cdot 3^{18} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5322240$ |
$3.166073$ |
$325375754708447065657/12546225115776$ |
$1.01171$ |
$6.31362$ |
$[1, 1, 0, -75801214, -254039873804]$ |
\(y^2+xy=x^3+x^2-75801214x-254039873804\) |
2024.2.0.? |
$[]$ |
34914.b1 |
34914f4 |
34914.b |
34914f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$2.430492$ |
$1112891236915770073/327888$ |
$0.99048$ |
$5.77082$ |
$[1, 1, 0, -11420856, 14851044144]$ |
\(y^2+xy=x^3+x^2-11420856x+14851044144\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.1, 92.12.0.?, $\ldots$ |
$[]$ |
34914.b2 |
34914f3 |
34914.b |
34914f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$811008$ |
$2.430492$ |
$444142553850073/196663299888$ |
$0.97178$ |
$5.02265$ |
$[1, 1, 0, -840856, 143472976]$ |
\(y^2+xy=x^3+x^2-840856x+143472976\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[]$ |
34914.b3 |
34914f2 |
34914.b |
34914f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3036$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$405504$ |
$2.083920$ |
$271808161065433/147476736$ |
$1.04508$ |
$4.97571$ |
$[1, 1, 0, -713896, 231760960]$ |
\(y^2+xy=x^3+x^2-713896x+231760960\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0-2.a.1.1, 92.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
34914.b4 |
34914f1 |
34914.b |
34914f |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3 \cdot 11 \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.737345$ |
$-37159393753/49741824$ |
$1.02197$ |
$4.23964$ |
$[1, 1, 0, -36776, 4925760]$ |
\(y^2+xy=x^3+x^2-36776x+4925760\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 44.12.0-4.c.1.2, 184.12.0.?, $\ldots$ |
$[]$ |
34914.c1 |
34914i1 |
34914.c |
34914i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{2} \cdot 11^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$0.189952215$ |
$1$ |
|
$6$ |
$253440$ |
$1.831642$ |
$11301253512121/8816544$ |
$0.92848$ |
$4.67169$ |
$[1, 1, 0, -247318, 47205556]$ |
\(y^2+xy=x^3+x^2-247318x+47205556\) |
2024.2.0.? |
$[(-125, 8791)]$ |
34914.d1 |
34914c1 |
34914.d |
34914c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{13} \cdot 3^{12} \cdot 11^{7} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38578176$ |
$4.303230$ |
$261452426010489828863/84838659222822912$ |
$1.05591$ |
$7.19193$ |
$[1, 1, 0, -1620838818, -16647420522636]$ |
\(y^2+xy=x^3+x^2-1620838818x-16647420522636\) |
2024.2.0.? |
$[]$ |
34914.e1 |
34914j1 |
34914.e |
34914j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{34} \cdot 3^{10} \cdot 11^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$3036$ |
$4$ |
$0$ |
$3.287024309$ |
$1$ |
|
$0$ |
$5679360$ |
$3.280434$ |
$20657855188840838401319/1797167311782439550976$ |
$1.09289$ |
$5.99003$ |
$[1, 1, 0, 4623162, -46753382124]$ |
\(y^2+xy=x^3+x^2+4623162x-46753382124\) |
4.2.0.a.1, 3036.4.0.? |
$[(174556/5, 70932314/5)]$ |
34914.f1 |
34914a1 |
34914.f |
34914a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{34} \cdot 3^{10} \cdot 11^{6} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$132$ |
$4$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$130625280$ |
$4.848183$ |
$20657855188840838401319/1797167311782439550976$ |
$1.09289$ |
$7.78848$ |
$[1, 1, 0, 2445652423, 568872856827813]$ |
\(y^2+xy=x^3+x^2+2445652423x+568872856827813\) |
4.2.0.a.1, 132.4.0.? |
$[]$ |
34914.g1 |
34914h1 |
34914.g |
34914h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{13} \cdot 3^{12} \cdot 11^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$0.855748458$ |
$1$ |
|
$4$ |
$1677312$ |
$2.735485$ |
$261452426010489828863/84838659222822912$ |
$1.05591$ |
$5.39348$ |
$[1, 1, 0, -3063967, 1366911493]$ |
\(y^2+xy=x^3+x^2-3063967x+1366911493\) |
2024.2.0.? |
$[(-191, 44200)]$ |
34914.h1 |
34914b1 |
34914.h |
34914b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2 \cdot 3^{4} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$101376$ |
$1.252876$ |
$2565726409/40986$ |
$0.99589$ |
$3.86960$ |
$[1, 1, 0, -15087, -709677]$ |
\(y^2+xy=x^3+x^2-15087x-709677\) |
2024.2.0.? |
$[]$ |
34914.i1 |
34914e4 |
34914.i |
34914e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{12} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12165120$ |
$3.536911$ |
$566001880654007645497/79690973341699632$ |
$1.01656$ |
$6.36654$ |
$[1, 1, 0, -91163374, -291472988732]$ |
\(y^2+xy=x^3+x^2-91163374x-291472988732\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 92.12.0.?, $\ldots$ |
$[]$ |
34914.i2 |
34914e2 |
34914.i |
34914e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 11^{6} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3036$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6082560$ |
$3.190334$ |
$10329367348538068537/1142220445749504$ |
$1.04008$ |
$5.98381$ |
$[1, 1, 0, -24001534, 40696039540]$ |
\(y^2+xy=x^3+x^2-24001534x+40696039540\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 92.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
34914.i3 |
34914e1 |
34914.i |
34914e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{16} \cdot 3 \cdot 11^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3041280$ |
$2.843761$ |
$9479576797126950457/138431496192$ |
$0.99903$ |
$5.97560$ |
$[1, 1, 0, -23324414, 43347235188]$ |
\(y^2+xy=x^3+x^2-23324414x+43347235188\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
34914.i4 |
34914e3 |
34914.i |
34914e |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 11^{3} \cdot 23^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12165120$ |
$3.536911$ |
$25236442759706220743/135084570146078256$ |
$1.06590$ |
$6.27093$ |
$[1, 1, 0, 32326386, 203202088740]$ |
\(y^2+xy=x^3+x^2+32326386x+203202088740\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
34914.j1 |
34914d1 |
34914.j |
34914d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{23} \cdot 3^{11} \cdot 11^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$9618048$ |
$3.443275$ |
$167691610314591623/45491430503743488$ |
$1.19549$ |
$6.17762$ |
$[1, 1, 0, 6077406, -124719365772]$ |
\(y^2+xy=x^3+x^2+6077406x-124719365772\) |
6072.2.0.? |
$[]$ |
34914.k1 |
34914s2 |
34914.k |
34914s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{8} \cdot 23^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.219797349$ |
$1$ |
|
$20$ |
$8110080$ |
$3.134068$ |
$2940980566145956489/783792101714688$ |
$1.04114$ |
$5.86372$ |
$[1, 0, 1, -15789868, 17736568682]$ |
\(y^2+xy+y=x^3-15789868x+17736568682\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[(550, 95738), (913, 63431)]$ |
34914.k2 |
34914s1 |
34914.k |
34914s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 11^{4} \cdot 23^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.219797349$ |
$1$ |
|
$23$ |
$4055040$ |
$2.787495$ |
$11566328890520951/16088147361792$ |
$1.03150$ |
$5.36667$ |
$[1, 0, 1, 2492372, 1794455402]$ |
\(y^2+xy+y=x^3+2492372x+1794455402\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[(-416, 26393), (8593, 806711)]$ |
34914.l1 |
34914n1 |
34914.l |
34914n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{7} \cdot 3 \cdot 11 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$2.082689532$ |
$1$ |
|
$2$ |
$88704$ |
$1.212858$ |
$127263527/97152$ |
$0.84906$ |
$3.58245$ |
$[1, 0, 1, 5543, -89284]$ |
\(y^2+xy+y=x^3+5543x-89284\) |
6072.2.0.? |
$[(366, 6958)]$ |
34914.m1 |
34914q1 |
34914.m |
34914q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 11^{2} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$3036$ |
$4$ |
$0$ |
$0.163845254$ |
$1$ |
|
$22$ |
$16128$ |
$0.373178$ |
$-14782919881/352836$ |
$0.90869$ |
$2.84190$ |
$[1, 0, 1, -414, 3268]$ |
\(y^2+xy+y=x^3-414x+3268\) |
4.2.0.a.1, 3036.4.0.? |
$[(14, 9), (11, 3)]$ |
34914.n1 |
34914m1 |
34914.n |
34914m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 11 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$0.318994158$ |
$1$ |
|
$6$ |
$9216$ |
$0.252340$ |
$56181887/7128$ |
$0.87029$ |
$2.60506$ |
$[1, 0, 1, -184, 830]$ |
\(y^2+xy+y=x^3-184x+830\) |
2024.2.0.? |
$[(-2, 35)]$ |
34914.o1 |
34914o3 |
34914.o |
34914o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{6} \cdot 3 \cdot 11^{3} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$6072$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$142560$ |
$1.457670$ |
$57736239625/255552$ |
$0.99775$ |
$4.16725$ |
$[1, 0, 1, -42596, 3367202]$ |
\(y^2+xy+y=x^3-42596x+3367202\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[]$ |
34914.o2 |
34914o4 |
34914.o |
34914o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{2} \cdot 11^{6} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$6072$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$285120$ |
$1.804243$ |
$-7357983625/127552392$ |
$1.05287$ |
$4.29845$ |
$[1, 0, 1, -21436, 6718946]$ |
\(y^2+xy+y=x^3-21436x+6718946\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[]$ |
34914.o3 |
34914o1 |
34914.o |
34914o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 11 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$6072$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$47520$ |
$0.908364$ |
$18609625/1188$ |
$0.92581$ |
$3.39866$ |
$[1, 0, 1, -2921, -57544]$ |
\(y^2+xy+y=x^3-2921x-57544\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[]$ |
34914.o4 |
34914o2 |
34914.o |
34914o |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2 \cdot 3^{6} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$6072$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$95040$ |
$1.254938$ |
$9938375/176418$ |
$1.01160$ |
$3.66279$ |
$[1, 0, 1, 2369, -241636]$ |
\(y^2+xy+y=x^3+2369x-241636\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[]$ |
34914.p1 |
34914p1 |
34914.p |
34914p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 11 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$211968$ |
$1.820087$ |
$56181887/7128$ |
$0.87029$ |
$4.40351$ |
$[1, 0, 1, -97083, -10295810]$ |
\(y^2+xy+y=x^3-97083x-10295810\) |
2024.2.0.? |
$[]$ |
34914.q1 |
34914k1 |
34914.q |
34914k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{2} \cdot 3^{6} \cdot 11^{2} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$132$ |
$4$ |
$0$ |
$0.746488112$ |
$1$ |
|
$6$ |
$370944$ |
$1.940926$ |
$-14782919881/352836$ |
$0.90869$ |
$4.64036$ |
$[1, 0, 1, -218753, -40202296]$ |
\(y^2+xy+y=x^3-218753x-40202296\) |
4.2.0.a.1, 132.4.0.? |
$[(573, 4474)]$ |
34914.r1 |
34914l1 |
34914.r |
34914l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{25} \cdot 3^{4} \cdot 11 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$4.375824163$ |
$1$ |
|
$2$ |
$2534400$ |
$2.945080$ |
$26240674555395219529/687630974976$ |
$1.00285$ |
$6.07294$ |
$[1, 0, 1, -32749608, 72132502390]$ |
\(y^2+xy+y=x^3-32749608x+72132502390\) |
2024.2.0.? |
$[(320, 248205)]$ |
34914.s1 |
34914r2 |
34914.s |
34914r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 11^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4561920$ |
$3.202400$ |
$4710588959856854135593/81253269504$ |
$1.02029$ |
$6.56911$ |
$[1, 0, 1, -184745062, 966496857272]$ |
\(y^2+xy+y=x^3-184745062x+966496857272\) |
3.4.0.a.1, 69.8.0-3.a.1.1, 264.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[]$ |
34914.s2 |
34914r1 |
34914.s |
34914r |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{5} \cdot 3^{12} \cdot 11 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6072$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1520640$ |
$2.653091$ |
$10621450496611513/2276047011744$ |
$0.97507$ |
$5.32612$ |
$[1, 0, 1, -2422567, 1151479178]$ |
\(y^2+xy+y=x^3-2422567x+1151479178\) |
3.4.0.a.1, 69.8.0-3.a.1.2, 264.8.0.?, 2024.2.0.?, 6072.16.0.? |
$[]$ |
34914.t1 |
34914v1 |
34914.t |
34914v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{13} \cdot 3^{5} \cdot 11^{3} \cdot 23^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28828800$ |
$4.081955$ |
$-3571480626044740843224673/9021299988885921792$ |
$1.03857$ |
$7.20341$ |
$[1, 1, 1, -1684601569, -26671723886305]$ |
\(y^2+xy+y=x^3+x^2-1684601569x-26671723886305\) |
6072.2.0.? |
$[]$ |
34914.u1 |
34914w4 |
34914.u |
34914w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2 \cdot 3 \cdot 11 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$197120$ |
$1.472794$ |
$4824238966273/66$ |
$1.02376$ |
$4.59031$ |
$[1, 1, 1, -186219, 30852711]$ |
\(y^2+xy+y=x^3+x^2-186219x+30852711\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 184.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
34914.u2 |
34914w2 |
34914.u |
34914w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$98560$ |
$1.126219$ |
$1180932193/4356$ |
$0.96736$ |
$3.79542$ |
$[1, 1, 1, -11649, 477531]$ |
\(y^2+xy+y=x^3+x^2-11649x+477531\) |
2.6.0.a.1, 8.12.0.b.1, 92.12.0.?, 132.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
34914.u3 |
34914w3 |
34914.u |
34914w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2 \cdot 3^{4} \cdot 11^{4} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$197120$ |
$1.472794$ |
$-192100033/2371842$ |
$1.02507$ |
$3.91875$ |
$[1, 1, 1, -6359, 919775]$ |
\(y^2+xy+y=x^3+x^2-6359x+919775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
34914.u4 |
34914w1 |
34914.u |
34914w |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$6072$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49280$ |
$0.779646$ |
$912673/528$ |
$1.18336$ |
$3.11043$ |
$[1, 1, 1, -1069, -685]$ |
\(y^2+xy+y=x^3+x^2-1069x-685\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 66.6.0.a.1, 92.12.0.?, $\ldots$ |
$[]$ |
34914.v1 |
34914u2 |
34914.v |
34914u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 11^{4} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$405504$ |
$1.908447$ |
$858729462625/371764272$ |
$0.93039$ |
$4.42532$ |
$[1, 1, 1, -104753, 6506015]$ |
\(y^2+xy+y=x^3+x^2-104753x+6506015\) |
2.3.0.a.1, 12.6.0.a.1, 92.6.0.?, 276.12.0.? |
$[]$ |
34914.v2 |
34914u1 |
34914.v |
34914u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 11^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$202752$ |
$1.561874$ |
$8181353375/6412032$ |
$0.89550$ |
$3.98045$ |
$[1, 1, 1, 22207, 767423]$ |
\(y^2+xy+y=x^3+x^2+22207x+767423\) |
2.3.0.a.1, 12.6.0.b.1, 46.6.0.a.1, 276.12.0.? |
$[]$ |
34914.w1 |
34914t1 |
34914.w |
34914t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 11^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$0.411222678$ |
$1$ |
|
$6$ |
$963072$ |
$2.452206$ |
$1793126264853169/144450256896$ |
$0.96176$ |
$5.15606$ |
$[1, 1, 1, -1338910, -553812901]$ |
\(y^2+xy+y=x^3+x^2-1338910x-553812901\) |
2024.2.0.? |
$[(-631, 6663)]$ |
34914.x1 |
34914y1 |
34914.x |
34914y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2 \cdot 3^{10} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$422400$ |
$1.909201$ |
$22947463187713/29878794$ |
$0.93336$ |
$4.73940$ |
$[1, 1, 1, -313179, 67252143]$ |
\(y^2+xy+y=x^3+x^2-313179x+67252143\) |
2024.2.0.? |
$[]$ |
34914.y1 |
34914x1 |
34914.y |
34914x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{19} \cdot 3^{4} \cdot 11 \cdot 23^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9630720$ |
$3.388073$ |
$648817971720191270353/3006677182316544$ |
$1.01409$ |
$6.37959$ |
$[1, 1, 1, -95408864, -357300541951]$ |
\(y^2+xy+y=x^3+x^2-95408864x-357300541951\) |
2024.2.0.? |
$[]$ |
34914.z1 |
34914be4 |
34914.z |
34914be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{8} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$48660480$ |
$4.354584$ |
$13688695234222145601259673233/2003024259937536$ |
$1.10783$ |
$7.99180$ |
$[1, 0, 0, -26363422284, -1647598439097456]$ |
\(y^2+xy=x^3-26363422284x-1647598439097456\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.1, 138.6.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
34914.z2 |
34914be3 |
34914.z |
34914be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3 \cdot 11^{2} \cdot 23^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$48660480$ |
$4.354584$ |
$5072972674420068408718993/2036482219218784389888$ |
$1.05075$ |
$7.23655$ |
$[1, 0, 0, -1893659724, -17554545543792]$ |
\(y^2+xy=x^3-1893659724x-17554545543792\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
34914.z3 |
34914be2 |
34914.z |
34914be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{4} \cdot 23^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$276$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$24330240$ |
$4.008011$ |
$3342887139776073669969553/1278380674753560576$ |
$1.03837$ |
$7.19667$ |
$[1, 0, 0, -1647865164, -25738865325936]$ |
\(y^2+xy=x^3-1647865164x-25738865325936\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 92.24.0.?, 276.48.0.? |
$[]$ |
34914.z4 |
34914be1 |
34914.z |
34914be |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{32} \cdot 3^{4} \cdot 11^{2} \cdot 23^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12165120$ |
$3.661434$ |
$-505304979693115442833/512169554353324032$ |
$1.02368$ |
$6.45245$ |
$[1, 0, 0, -87780684, -525091977072]$ |
\(y^2+xy=x^3-87780684x-525091977072\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 46.6.0.a.1, 92.24.0.?, $\ldots$ |
$[]$ |
34914.ba1 |
34914bg1 |
34914.ba |
34914bg |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{3} \cdot 3^{13} \cdot 11 \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$0.213863242$ |
$1$ |
|
$4$ |
$67392$ |
$1.032976$ |
$105756712489/140300424$ |
$0.96948$ |
$3.35041$ |
$[1, 0, 0, 2266, 47388]$ |
\(y^2+xy=x^3+2266x+47388\) |
6072.2.0.? |
$[(-2, 208)]$ |
34914.bb1 |
34914bd1 |
34914.bb |
34914bd |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2 \cdot 3^{3} \cdot 11 \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6072$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63360$ |
$1.111380$ |
$-192100033/13662$ |
$0.82437$ |
$3.63289$ |
$[1, 0, 0, -6359, 206295]$ |
\(y^2+xy=x^3-6359x+206295\) |
6072.2.0.? |
$[]$ |
34914.bc1 |
34914bh2 |
34914.bc |
34914bh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{6} \cdot 3 \cdot 11^{4} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$2.285832531$ |
$1$ |
|
$2$ |
$82944$ |
$1.132416$ |
$117872434296791/2811072$ |
$1.15663$ |
$3.99661$ |
$[1, 0, 0, -23494, -1387996]$ |
\(y^2+xy=x^3-23494x-1387996\) |
2.3.0.a.1, 12.6.0.f.1, 92.6.0.?, 138.6.0.?, 276.12.0.? |
$[(184, 634)]$ |
34914.bc2 |
34914bh1 |
34914.bc |
34914bh |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$276$ |
$12$ |
$0$ |
$1.142916265$ |
$1$ |
|
$7$ |
$41472$ |
$0.785841$ |
$-25698491351/4460544$ |
$1.06618$ |
$3.21572$ |
$[1, 0, 0, -1414, -23452]$ |
\(y^2+xy=x^3-1414x-23452\) |
2.3.0.a.1, 12.6.0.f.1, 46.6.0.a.1, 276.12.0.? |
$[(92, 746)]$ |
34914.bd1 |
34914z1 |
34914.bd |
34914z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2 \cdot 3^{2} \cdot 11 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$1.537403$ |
$31824875809/2409066$ |
$0.88235$ |
$4.11031$ |
$[1, 0, 0, -34925, 2339223]$ |
\(y^2+xy=x^3-34925x+2339223\) |
2024.2.0.? |
$[]$ |
34914.be1 |
34914ba1 |
34914.be |
34914ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 23^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 11^{5} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2024$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5575680$ |
$3.058865$ |
$1135700552684700289/325058782980096$ |
$0.99868$ |
$5.77276$ |
$[1, 0, 0, -11498355, -10669997727]$ |
\(y^2+xy=x^3-11498355x-10669997727\) |
2024.2.0.? |
$[]$ |