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 |
11858.a1 |
11858u1 |
11858.a |
11858u |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.238716347$ |
$1$ |
|
$6$ |
$17280$ |
$0.610904$ |
$415233/88$ |
$0.82789$ |
$3.32764$ |
$[1, -1, 0, -688, 5704]$ |
\(y^2+xy=x^3-x^2-688x+5704\) |
88.2.0.? |
$[(3, 59)]$ |
11858.b1 |
11858t1 |
11858.b |
11858t |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 7^{11} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.633570230$ |
$1$ |
|
$4$ |
$207360$ |
$1.798843$ |
$-8773917273/8605184$ |
$1.04428$ |
$4.81341$ |
$[1, -1, 0, -51508, -7373360]$ |
\(y^2+xy=x^3-x^2-51508x-7373360\) |
56.2.0.b.1 |
$[(597, 12907)]$ |
11858.c1 |
11858r2 |
11858.c |
11858r |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 7^{9} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$3.489664922$ |
$1$ |
|
$4$ |
$215040$ |
$2.208736$ |
$59776471/29282$ |
$0.93517$ |
$5.30945$ |
$[1, 0, 1, -338077, 29617410]$ |
\(y^2+xy+y=x^3-338077x+29617410\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(4, 5314)]$ |
11858.c2 |
11858r1 |
11858.c |
11858r |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 7^{9} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1.744832461$ |
$1$ |
|
$7$ |
$107520$ |
$1.862164$ |
$704969/484$ |
$0.87729$ |
$4.83612$ |
$[1, 0, 1, 76953, 3553526]$ |
\(y^2+xy+y=x^3+76953x+3553526\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(-23, 1342)]$ |
11858.d1 |
11858e2 |
11858.d |
11858e |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{27} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.24.0.4 |
3B.1.2 |
$504$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$342144$ |
$2.496284$ |
$231968823625/134217728$ |
$1.21597$ |
$5.66443$ |
$[1, 0, 1, -1025841, -5375548]$ |
\(y^2+xy+y=x^3-1025841x-5375548\) |
3.8.0-3.a.1.1, 8.2.0.b.1, 9.24.0-9.b.1.1, 24.16.0-24.b.1.4, 63.72.0-63.g.2.2, $\ldots$ |
$[]$ |
11858.d2 |
11858e1 |
11858.d |
11858e |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.24.0.2 |
3B.1.1 |
$504$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$114048$ |
$1.946980$ |
$73622481625/512$ |
$1.00528$ |
$5.54209$ |
$[1, 0, 1, -699746, 225238836]$ |
\(y^2+xy+y=x^3-699746x+225238836\) |
3.8.0-3.a.1.2, 8.2.0.b.1, 9.24.0-9.b.1.2, 24.16.0-24.b.1.8, 63.72.0-63.g.1.4, $\ldots$ |
$[]$ |
11858.e1 |
11858s1 |
11858.e |
11858s |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$2.114556127$ |
$1$ |
|
$2$ |
$5760$ |
$0.145823$ |
$290521/32$ |
$1.02108$ |
$2.77833$ |
$[1, 0, 1, -124, -486]$ |
\(y^2+xy+y=x^3-124x-486\) |
8.2.0.b.1 |
$[(-8, 6)]$ |
11858.f1 |
11858g1 |
11858.f |
11858g |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$104544$ |
$1.699354$ |
$3233229419/2048$ |
$0.97169$ |
$5.04966$ |
$[1, 1, 0, -150042, -22420460]$ |
\(y^2+xy=x^3+x^2-150042x-22420460\) |
88.2.0.? |
$[]$ |
11858.g1 |
11858m2 |
11858.g |
11858m |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 7^{2} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$4.376892979$ |
$1$ |
|
$0$ |
$86400$ |
$1.841251$ |
$413160293352625/42592$ |
$1.00364$ |
$5.53623$ |
$[1, 1, 0, -687040, -219476704]$ |
\(y^2+xy=x^3+x^2-687040x-219476704\) |
3.4.0.a.1, 88.2.0.?, 168.8.0.?, 231.8.0.?, 264.8.0.?, $\ldots$ |
$[(-138395/17, 1189002/17)]$ |
11858.g2 |
11858m1 |
11858.g |
11858m |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{2} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1.458964326$ |
$1$ |
|
$4$ |
$28800$ |
$1.291945$ |
$1071912625/360448$ |
$0.92911$ |
$4.16511$ |
$[1, 1, 0, -9440, -232448]$ |
\(y^2+xy=x^3+x^2-9440x-232448\) |
3.4.0.a.1, 88.2.0.?, 168.8.0.?, 231.8.0.?, 264.8.0.?, $\ldots$ |
$[(-27, 74)]$ |
11858.h1 |
11858n1 |
11858.h |
11858n |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$4.335346016$ |
$1$ |
|
$0$ |
$13440$ |
$0.883407$ |
$-268279/32$ |
$0.85301$ |
$3.73063$ |
$[1, 1, 0, -2279, -46955]$ |
\(y^2+xy=x^3+x^2-2279x-46955\) |
56.2.0.b.1 |
$[(957/4, 10091/4)]$ |
11858.i1 |
11858j1 |
11858.i |
11858j |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$3.082545696$ |
$1$ |
|
$2$ |
$133056$ |
$2.084110$ |
$14553/8$ |
$1.02512$ |
$5.14114$ |
$[1, -1, 0, -199733, 7739661]$ |
\(y^2+xy=x^3-x^2-199733x+7739661\) |
8.2.0.b.1 |
$[(-151, 5944)]$ |
11858.j1 |
11858i3 |
11858.j |
11858i |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$616$ |
$48$ |
$0$ |
$20.34038506$ |
$1$ |
|
$0$ |
$552960$ |
$2.799076$ |
$15226621995131793/2324168$ |
$1.03578$ |
$6.75048$ |
$[1, -1, 0, -30615503, -65194232251]$ |
\(y^2+xy=x^3-x^2-30615503x-65194232251\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 88.24.0.?, $\ldots$ |
$[(6839535641/455, 555568798183699/455)]$ |
11858.j2 |
11858i4 |
11858.j |
11858i |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{7} \cdot 11^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$5.085096266$ |
$1$ |
|
$2$ |
$552960$ |
$2.799076$ |
$24331017010833/12004097336$ |
$1.13408$ |
$6.06407$ |
$[1, -1, 0, -3579263, 1001772085]$ |
\(y^2+xy=x^3-x^2-3579263x+1001772085\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 44.12.0-4.c.1.1, 56.24.0.bp.1, $\ldots$ |
$[(261, 9106)]$ |
11858.j3 |
11858i2 |
11858.j |
11858i |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{6} \cdot 7^{8} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$616$ |
$48$ |
$0$ |
$10.17019253$ |
$1$ |
|
$2$ |
$276480$ |
$2.452503$ |
$3750606459153/45914176$ |
$1.08438$ |
$5.86475$ |
$[1, -1, 0, -1919143, -1011953475]$ |
\(y^2+xy=x^3-x^2-1919143x-1011953475\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 44.12.0-2.a.1.1, 56.24.0.d.1, $\ldots$ |
$[(-720025/29, 52812010/29)]$ |
11858.j4 |
11858i1 |
11858.j |
11858i |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{7} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$616$ |
$48$ |
$0$ |
$5.085096266$ |
$1$ |
|
$1$ |
$138240$ |
$2.105930$ |
$-5545233/3469312$ |
$1.05747$ |
$5.17847$ |
$[1, -1, 0, -21863, -40925571]$ |
\(y^2+xy=x^3-x^2-21863x-40925571\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(35561/5, 6530826/5)]$ |
11858.k1 |
11858h1 |
11858.k |
11858h |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 7^{10} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$308$ |
$16$ |
$0$ |
$1.135676272$ |
$1$ |
|
$4$ |
$13824$ |
$1.060610$ |
$-115538049/153664$ |
$1.03468$ |
$3.86213$ |
$[1, -1, 0, -2459, 85861]$ |
\(y^2+xy=x^3-x^2-2459x+85861\) |
4.8.0.b.1, 308.16.0.? |
$[(30, 181)]$ |
11858.l1 |
11858b1 |
11858.l |
11858b |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{4} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19008$ |
$1.111155$ |
$14553/8$ |
$1.02512$ |
$3.89652$ |
$[1, -1, 0, -4076, -21400]$ |
\(y^2+xy=x^3-x^2-4076x-21400\) |
8.2.0.b.1 |
$[]$ |
11858.m1 |
11858k1 |
11858.m |
11858k |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 7^{3} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$0.620356071$ |
$1$ |
|
$4$ |
$1920$ |
$-0.089548$ |
$-268279/32$ |
$0.85301$ |
$2.48602$ |
$[1, 0, 1, -47, 130]$ |
\(y^2+xy+y=x^3-47x+130\) |
56.2.0.b.1 |
$[(4, 1)]$ |
11858.n1 |
11858l1 |
11858.n |
11858l |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 7^{7} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$2.742341019$ |
$1$ |
|
$2$ |
$50688$ |
$1.480934$ |
$24167/14$ |
$0.97903$ |
$4.36546$ |
$[1, 0, 1, 17663, -27590]$ |
\(y^2+xy+y=x^3+17663x-27590\) |
56.2.0.b.1 |
$[(74, 1261)]$ |
11858.o1 |
11858c2 |
11858.o |
11858c |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 7^{8} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$604800$ |
$2.814205$ |
$413160293352625/42592$ |
$1.00364$ |
$6.78085$ |
$[1, 0, 1, -33664986, 75179514540]$ |
\(y^2+xy+y=x^3-33664986x+75179514540\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 33.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[]$ |
11858.o2 |
11858c1 |
11858.o |
11858c |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$201600$ |
$2.264900$ |
$1071912625/360448$ |
$0.92911$ |
$5.40973$ |
$[1, 0, 1, -462586, 78341932]$ |
\(y^2+xy+y=x^3-462586x+78341932\) |
3.4.0.a.1, 24.8.0-3.a.1.8, 33.8.0-3.a.1.2, 88.2.0.?, 264.16.0.? |
$[]$ |
11858.p1 |
11858a1 |
11858.p |
11858a |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{8} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$3.996076651$ |
$1$ |
|
$0$ |
$731808$ |
$2.672310$ |
$3233229419/2048$ |
$0.97169$ |
$6.29428$ |
$[1, 0, 1, -7352084, 7668161554]$ |
\(y^2+xy+y=x^3-7352084x+7668161554\) |
88.2.0.? |
$[(-7412/3, 3109007/3)]$ |
11858.q1 |
11858d1 |
11858.q |
11858d |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 7^{8} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.118778$ |
$290521/32$ |
$1.02108$ |
$4.02295$ |
$[1, 1, 0, -6052, 160560]$ |
\(y^2+xy=x^3+x^2-6052x+160560\) |
8.2.0.b.1 |
$[]$ |
11858.r1 |
11858o2 |
11858.r |
11858o |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{27} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$76.08197260$ |
$1$ |
|
$0$ |
$2395008$ |
$3.469242$ |
$231968823625/134217728$ |
$1.21597$ |
$6.90905$ |
$[1, 1, 0, -50266185, 1793546693]$ |
\(y^2+xy=x^3+x^2-50266185x+1793546693\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 21.8.0-3.a.1.2, 24.8.0.b.1, $\ldots$ |
$[(-108817067848627435842137926959649/384797855431666, 11177075592357010007320952477475230881242448987199/384797855431666)]$ |
11858.r2 |
11858o1 |
11858.r |
11858o |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{10} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$25.36065753$ |
$1$ |
|
$0$ |
$798336$ |
$2.919933$ |
$73622481625/512$ |
$1.00528$ |
$6.78671$ |
$[1, 1, 0, -34287530, -77291208364]$ |
\(y^2+xy=x^3+x^2-34287530x-77291208364\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 21.8.0-3.a.1.1, 24.8.0.b.1, $\ldots$ |
$[(-23031035922533/82591, 678676919343543061/82591)]$ |
11858.s1 |
11858p2 |
11858.s |
11858p |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 7^{3} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$5.037078967$ |
$1$ |
|
$0$ |
$30720$ |
$1.235783$ |
$59776471/29282$ |
$0.93517$ |
$4.06483$ |
$[1, 1, 0, -6899, -89305]$ |
\(y^2+xy=x^3+x^2-6899x-89305\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(-305/2, 95/2)]$ |
11858.s2 |
11858p1 |
11858.s |
11858p |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{2} \cdot 7^{3} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$2.518539483$ |
$1$ |
|
$1$ |
$15360$ |
$0.889209$ |
$704969/484$ |
$0.87729$ |
$3.59150$ |
$[1, 1, 0, 1571, -9687]$ |
\(y^2+xy=x^3+x^2+1571x-9687\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(406/3, 10039/3)]$ |
11858.t1 |
11858q2 |
11858.t |
11858q |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{12} \cdot 7^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$4.203266769$ |
$1$ |
|
$0$ |
$190080$ |
$2.040695$ |
$-128667913/4096$ |
$0.98675$ |
$5.28581$ |
$[1, 1, 0, -308431, 67591077]$ |
\(y^2+xy=x^3+x^2-308431x+67591077\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 21.8.0-3.a.1.2, 24.16.0.b.2, $\ldots$ |
$[(1342/3, 132835/3)]$ |
11858.t2 |
11858q1 |
11858.t |
11858q |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 7^{6} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.2.0.1, 3.4.0.1 |
3B |
$168$ |
$32$ |
$0$ |
$1.401088923$ |
$1$ |
|
$0$ |
$63360$ |
$1.491388$ |
$24167/16$ |
$0.94416$ |
$4.36546$ |
$[1, 1, 0, 17664, 350288]$ |
\(y^2+xy=x^3+x^2+17664x+350288\) |
3.4.0.a.1, 4.2.0.a.1, 12.8.0.a.1, 21.8.0-3.a.1.1, 24.16.0.b.1, $\ldots$ |
$[(208/3, 23404/3)]$ |
11858.u1 |
11858f1 |
11858.u |
11858f |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$120960$ |
$1.583858$ |
$415233/88$ |
$0.82789$ |
$4.57226$ |
$[1, -1, 0, -33721, -1889035]$ |
\(y^2+xy=x^3-x^2-33721x-1889035\) |
88.2.0.? |
$[]$ |
11858.v1 |
11858ba1 |
11858.v |
11858ba |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{8} \cdot 11^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.077834087$ |
$1$ |
|
$12$ |
$725760$ |
$2.374107$ |
$551516475321/5632$ |
$1.00498$ |
$6.07526$ |
$[1, -1, 1, -3706737, 2747757345]$ |
\(y^2+xy+y=x^3-x^2-3706737x+2747757345\) |
88.2.0.? |
$[(135, 47364)]$ |
11858.w1 |
11858bp1 |
11858.w |
11858bp |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{9} \cdot 7^{11} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2280960$ |
$2.997791$ |
$-8773917273/8605184$ |
$1.04428$ |
$6.34712$ |
$[1, -1, 1, -6232491, 9832639611]$ |
\(y^2+xy+y=x^3-x^2-6232491x+9832639611\) |
56.2.0.b.1 |
$[]$ |
11858.x1 |
11858bm2 |
11858.x |
11858bm |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{2} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184320$ |
$2.079590$ |
$1426487591593/2156$ |
$0.95006$ |
$5.76170$ |
$[1, 0, 0, -1390474, -631206696]$ |
\(y^2+xy=x^3-1390474x-631206696\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[]$ |
11858.x2 |
11858bm1 |
11858.x |
11858bm |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{4} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.733015$ |
$-338608873/13552$ |
$0.87448$ |
$4.87914$ |
$[1, 0, 0, -86094, -10060940]$ |
\(y^2+xy=x^3-86094x-10060940\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[]$ |
11858.y1 |
11858z2 |
11858.y |
11858z |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{27} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$5544$ |
$144$ |
$2$ |
$0.318293786$ |
$1$ |
|
$8$ |
$31104$ |
$1.297338$ |
$231968823625/134217728$ |
$1.21597$ |
$4.13072$ |
$[1, 0, 0, -8478, 3268]$ |
\(y^2+xy=x^3-8478x+3268\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 24.8.0.b.1, 33.8.0-3.a.1.1, $\ldots$ |
$[(-36, 530)]$ |
11858.y2 |
11858z1 |
11858.y |
11858z |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$5544$ |
$144$ |
$2$ |
$0.954881359$ |
$1$ |
|
$4$ |
$10368$ |
$0.748032$ |
$73622481625/512$ |
$1.00528$ |
$4.00838$ |
$[1, 0, 0, -5783, -169751]$ |
\(y^2+xy=x^3-5783x-169751\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 24.8.0.b.1, 33.8.0-3.a.1.2, $\ldots$ |
$[(-44, 23)]$ |
11858.z1 |
11858bn1 |
11858.z |
11858bn |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{5} \cdot 7^{2} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$63360$ |
$1.344770$ |
$290521/32$ |
$1.02108$ |
$4.31204$ |
$[1, 0, 0, -14946, 631588]$ |
\(y^2+xy=x^3-14946x+631588\) |
8.2.0.b.1 |
$[]$ |
11858.ba1 |
11858bb1 |
11858.ba |
11858bb |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{11} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.092858906$ |
$1$ |
|
$10$ |
$9504$ |
$0.500407$ |
$3233229419/2048$ |
$0.97169$ |
$3.51595$ |
$[1, 1, 1, -1240, 16281]$ |
\(y^2+xy+y=x^3+x^2-1240x+16281\) |
88.2.0.? |
$[(17, 13)]$ |
11858.bb1 |
11858bh2 |
11858.bb |
11858bh |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{10} \cdot 11^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$2.405575$ |
$911871625/10648$ |
$0.93690$ |
$5.80736$ |
$[1, 1, 1, -1603918, -774586317]$ |
\(y^2+xy+y=x^3+x^2-1603918x-774586317\) |
3.4.0.a.1, 88.2.0.?, 168.8.0.?, 231.8.0.?, 264.8.0.?, $\ldots$ |
$[]$ |
11858.bb2 |
11858bh1 |
11858.bb |
11858bh |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 7^{10} \cdot 11^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1848$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.856270$ |
$765625/22$ |
$0.93478$ |
$5.05236$ |
$[1, 1, 1, -151313, 22022265]$ |
\(y^2+xy+y=x^3+x^2-151313x+22022265\) |
3.4.0.a.1, 88.2.0.?, 168.8.0.?, 231.8.0.?, 264.8.0.?, $\ldots$ |
$[]$ |
11858.bc1 |
11858bi1 |
11858.bc |
11858bi |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 7^{9} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147840$ |
$2.082355$ |
$-268279/32$ |
$0.85301$ |
$5.26434$ |
$[1, 1, 1, -275822, 61118091]$ |
\(y^2+xy+y=x^3+x^2-275822x+61118091\) |
56.2.0.b.1 |
$[]$ |
11858.bd1 |
11858bd1 |
11858.bd |
11858bd |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12096$ |
$0.885162$ |
$14553/8$ |
$1.02512$ |
$3.60743$ |
$[1, -1, 1, -1651, -5365]$ |
\(y^2+xy+y=x^3-x^2-1651x-5365\) |
8.2.0.b.1 |
$[]$ |
11858.be1 |
11858bc1 |
11858.be |
11858bc |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 7^{10} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$28$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$152064$ |
$2.259556$ |
$-115538049/153664$ |
$1.03468$ |
$5.39584$ |
$[1, -1, 1, -297562, -113388327]$ |
\(y^2+xy+y=x^3-x^2-297562x-113388327\) |
4.8.0.b.1, 28.16.0-4.b.1.1 |
$[]$ |
11858.bf1 |
11858w1 |
11858.bf |
11858w |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.365629892$ |
$1$ |
|
$4$ |
$1728$ |
$-0.087793$ |
$14553/8$ |
$1.02512$ |
$2.36281$ |
$[1, -1, 1, -34, 25]$ |
\(y^2+xy+y=x^3-x^2-34x+25\) |
8.2.0.b.1 |
$[(-5, 9)]$ |
11858.bg1 |
11858be2 |
11858.bg |
11858be |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$2.219917$ |
$11422548526761/4312$ |
$1.11135$ |
$5.98347$ |
$[1, -1, 1, -2781813, 1786524149]$ |
\(y^2+xy+y=x^3-x^2-2781813x+1786524149\) |
2.3.0.a.1, 28.6.0.c.1, 88.6.0.?, 616.12.0.? |
$[]$ |
11858.bg2 |
11858be1 |
11858.bg |
11858be |
$2$ |
$2$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{6} \cdot 7^{7} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$616$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.873344$ |
$-2749884201/54208$ |
$1.01159$ |
$5.09886$ |
$[1, -1, 1, -173053, 28219909]$ |
\(y^2+xy+y=x^3-x^2-173053x+28219909\) |
2.3.0.a.1, 14.6.0.b.1, 88.6.0.?, 616.12.0.? |
$[]$ |
11858.bh1 |
11858bg1 |
11858.bh |
11858bg |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2 \cdot 7^{7} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.281988$ |
$24167/14$ |
$0.97903$ |
$2.83175$ |
$[1, 0, 0, 146, 34]$ |
\(y^2+xy=x^3+146x+34\) |
56.2.0.b.1 |
$[]$ |
11858.bi1 |
11858bf1 |
11858.bi |
11858bf |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{5} \cdot 7^{3} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$56$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21120$ |
$1.109400$ |
$-268279/32$ |
$0.85301$ |
$4.01973$ |
$[1, 0, 0, -5629, -178991]$ |
\(y^2+xy=x^3-5629x-178991\) |
56.2.0.b.1 |
$[]$ |
11858.bj1 |
11858x2 |
11858.bj |
11858x |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \) |
\( 2^{3} \cdot 7^{4} \cdot 11^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$264$ |
$16$ |
$0$ |
$1.043268331$ |
$1$ |
|
$4$ |
$34560$ |
$1.432621$ |
$911871625/10648$ |
$0.93690$ |
$4.56275$ |
$[1, 0, 0, -32733, 2253593]$ |
\(y^2+xy=x^3-32733x+2253593\) |
3.4.0.a.1, 24.8.0-3.a.1.7, 33.8.0-3.a.1.1, 88.2.0.?, 264.16.0.? |
$[(-188, 1425)]$ |