| 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 |
Manin constant |
| 88752.a1 |
88752n2 |
88752.a |
88752n |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{26} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$175803264$ |
$4.367416$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$6.72927$ |
$[0, -1, 0, -2418152400, 51558628389696]$ |
\(y^2=x^3-x^2-2418152400x+51558628389696\) |
8.2.0.a.1, 13.28.0.a.2, 52.56.0-13.a.2.1, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.a2 |
88752n1 |
88752.a |
88752n |
$2$ |
$13$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{25} \cdot 3^{2} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$4472$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$13523328$ |
$3.084942$ |
$-140246460241/73728$ |
$0.99918$ |
$5.62377$ |
$[0, -1, 0, -39302960, -94868756544]$ |
\(y^2=x^3-x^2-39302960x-94868756544\) |
8.2.0.a.1, 13.28.0.a.1, 52.56.0-13.a.1.1, 104.112.1.?, 559.84.2.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.b1 |
88752x1 |
88752.b |
88752x |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{14} \cdot 3^{19} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$7.841966274$ |
$1$ |
|
$0$ |
$33707520$ |
$3.860176$ |
$-9500554530751882177/199908972324$ |
$1.04122$ |
$6.54603$ |
$[0, -1, 0, -1305365032, 18153667670896]$ |
\(y^2=x^3-x^2-1305365032x+18153667670896\) |
516.2.0.? |
$[(-371990/3, 33019442/3)]$ |
$1$ |
| 88752.c1 |
88752y1 |
88752.c |
88752y |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$3.604537240$ |
$1$ |
|
$2$ |
$354816$ |
$1.433437$ |
$-35152/129$ |
$0.74744$ |
$3.56106$ |
$[0, -1, 0, -8012, -745284]$ |
\(y^2=x^3-x^2-8012x-745284\) |
516.2.0.? |
$[(3985, 251464)]$ |
$1$ |
| 88752.d1 |
88752p1 |
88752.d |
88752p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{18} \cdot 3 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.699207415$ |
$1$ |
|
$2$ |
$1064448$ |
$2.007580$ |
$1685159/8256$ |
$0.89017$ |
$4.14554$ |
$[0, -1, 0, 73344, -20914176]$ |
\(y^2=x^3-x^2+73344x-20914176\) |
516.2.0.? |
$[(1018, 33282)]$ |
$1$ |
| 88752.e1 |
88752k1 |
88752.e |
88752k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{16} \cdot 3^{9} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6538752$ |
$3.248013$ |
$148877/314928$ |
$1.13644$ |
$5.46650$ |
$[0, -1, 0, 1404624, 38733534144]$ |
\(y^2=x^3-x^2+1404624x+38733534144\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 88752.f1 |
88752e1 |
88752.f |
88752e |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{10} \cdot 3^{7} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2483712$ |
$2.720016$ |
$-6929294404/173881809$ |
$0.99558$ |
$4.91066$ |
$[0, -1, 0, -740216, 1632890592]$ |
\(y^2=x^3-x^2-740216x+1632890592\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 88752.g1 |
88752a1 |
88752.g |
88752a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{11} \cdot 3^{2} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$4.353403227$ |
$1$ |
|
$2$ |
$809088$ |
$2.013641$ |
$10750/9$ |
$0.98359$ |
$4.12485$ |
$[0, -1, 0, 132512, -12453152]$ |
\(y^2=x^3-x^2+132512x-12453152\) |
8.2.0.a.1 |
$[(172, 3924)]$ |
$1$ |
| 88752.h1 |
88752o2 |
88752.h |
88752o |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{14} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$2408$ |
$96$ |
$2$ |
$4.651954503$ |
$1$ |
|
$2$ |
$395136$ |
$1.559626$ |
$-6311547390625/9565938$ |
$1.08160$ |
$3.97734$ |
$[0, -1, 0, -75608, -7987344]$ |
\(y^2=x^3-x^2-75608x-7987344\) |
7.8.0.a.1, 8.2.0.a.1, 56.16.0.a.1, 301.24.0.?, 1204.48.0.?, $\ldots$ |
$[(340, 2344)]$ |
$1$ |
| 88752.h2 |
88752o1 |
88752.h |
88752o |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{2} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$2408$ |
$96$ |
$2$ |
$0.664564929$ |
$1$ |
|
$4$ |
$56448$ |
$0.586670$ |
$5375/1152$ |
$1.00631$ |
$2.66302$ |
$[0, -1, 0, 72, 4464]$ |
\(y^2=x^3-x^2+72x+4464\) |
7.8.0.a.1, 8.2.0.a.1, 56.16.0.a.1, 301.24.0.?, 1204.48.0.?, $\ldots$ |
$[(-4, 64)]$ |
$1$ |
| 88752.i1 |
88752b1 |
88752.i |
88752b |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$172$ |
$8$ |
$0$ |
$10.41108796$ |
$1$ |
|
$0$ |
$321024$ |
$1.435858$ |
$-734123392000/531441$ |
$1.05047$ |
$3.87516$ |
$[0, -1, 0, -51313, -4459667]$ |
\(y^2=x^3-x^2-51313x-4459667\) |
4.4.0.a.1, 86.2.0.?, 172.8.0.? |
$[(771724/31, 646919703/31)]$ |
$1$ |
| 88752.j1 |
88752d1 |
88752.j |
88752d |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354816$ |
$1.734140$ |
$1431644/1161$ |
$0.83319$ |
$3.83312$ |
$[0, -1, 0, 43760, -2246672]$ |
\(y^2=x^3-x^2+43760x-2246672\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 88752.k1 |
88752w1 |
88752.k |
88752w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.321352340$ |
$1$ |
|
$2$ |
$32256$ |
$0.315621$ |
$-294937/18$ |
$0.85517$ |
$2.50447$ |
$[0, -1, 0, -272, -1728]$ |
\(y^2=x^3-x^2-272x-1728\) |
8.2.0.a.1 |
$[(26, 90)]$ |
$1$ |
| 88752.l1 |
88752c2 |
88752.l |
88752c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$18.06081743$ |
$1$ |
|
$1$ |
$4722432$ |
$2.658791$ |
$3014284/729$ |
$0.92190$ |
$4.88881$ |
$[0, -1, 0, -2411712, 1100644848]$ |
\(y^2=x^3-x^2-2411712x+1100644848\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.? |
$[(280732086/751, 2043926444826/751)]$ |
$1$ |
| 88752.l2 |
88752c1 |
88752.l |
88752c |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$36.12163486$ |
$1$ |
|
$1$ |
$2361216$ |
$2.312218$ |
$476656/27$ |
$0.97221$ |
$4.60526$ |
$[0, -1, 0, -821572, -271964000]$ |
\(y^2=x^3-x^2-821572x-271964000\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.? |
$[(-5242661311181175/2943169, 45688222845417650938510/2943169)]$ |
$1$ |
| 88752.m1 |
88752m1 |
88752.m |
88752m |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1517040$ |
$2.204353$ |
$-176128/27$ |
$0.84680$ |
$4.45174$ |
$[0, -1, 0, -424037, -119390067]$ |
\(y^2=x^3-x^2-424037x-119390067\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 88752.n1 |
88752s1 |
88752.n |
88752s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.193491772$ |
$1$ |
|
$2$ |
$96768$ |
$0.932297$ |
$-115481617/52488$ |
$0.95437$ |
$3.07053$ |
$[0, -1, 0, -1992, -45072]$ |
\(y^2=x^3-x^2-1992x-45072\) |
8.2.0.a.1 |
$[(516, 11664)]$ |
$1$ |
| 88752.o1 |
88752t1 |
88752.o |
88752t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$5.080597295$ |
$1$ |
|
$2$ |
$1064448$ |
$2.106632$ |
$-799178752/3483$ |
$0.95634$ |
$4.51056$ |
$[0, -1, 0, -571957, 167308477]$ |
\(y^2=x^3-x^2-571957x+167308477\) |
86.2.0.? |
$[(628, 7443)]$ |
$1$ |
| 88752.p1 |
88752f6 |
88752.p |
88752f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{11} \cdot 3^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$2064$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$1.928394$ |
$3065617154/9$ |
$1.21059$ |
$4.56707$ |
$[0, -1, 0, -710632, -230339312]$ |
\(y^2=x^3-x^2-710632x-230339312\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.p2 |
88752f4 |
88752.p |
88752f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{10} \cdot 3 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$2064$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$1.581821$ |
$28756228/3$ |
$1.05617$ |
$4.09643$ |
$[0, -1, 0, -118952, 15829152]$ |
\(y^2=x^3-x^2-118952x+15829152\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.p3 |
88752f3 |
88752.p |
88752f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{4} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$1032$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$322560$ |
$1.581821$ |
$1556068/81$ |
$1.03212$ |
$3.84043$ |
$[0, -1, 0, -44992, -3489200]$ |
\(y^2=x^3-x^2-44992x-3489200\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 172.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.p4 |
88752f2 |
88752.p |
88752f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$1032$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$161280$ |
$1.235249$ |
$35152/9$ |
$0.97255$ |
$3.38609$ |
$[0, -1, 0, -8012, 208800]$ |
\(y^2=x^3-x^2-8012x+208800\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.p5 |
88752f1 |
88752.p |
88752f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{4} \cdot 3 \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$2064$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$0.888674$ |
$2048/3$ |
$1.17572$ |
$2.93064$ |
$[0, -1, 0, 1233, 20202]$ |
\(y^2=x^3-x^2+1233x+20202\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.p6 |
88752f5 |
88752.p |
88752f |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$2064$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$1.928394$ |
$207646/6561$ |
$1.15980$ |
$4.07395$ |
$[0, -1, 0, 28968, -13902768]$ |
\(y^2=x^3-x^2+28968x-13902768\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 172.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.q1 |
88752q1 |
88752.q |
88752q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{26} \cdot 3^{7} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$17.25667374$ |
$1$ |
|
$1$ |
$8692992$ |
$3.224556$ |
$778510269523657/1540767744$ |
$1.00479$ |
$5.72017$ |
$[0, -1, 0, -56698352, 164062718400]$ |
\(y^2=x^3-x^2-56698352x+164062718400\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(2051751394/1159, 443150463707770/1159)]$ |
$1$ |
| 88752.q2 |
88752q2 |
88752.q |
88752q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{19} \cdot 3^{14} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$34.51334749$ |
$1$ |
|
$1$ |
$17385984$ |
$3.571129$ |
$-230042158153417/1131994839168$ |
$1.03167$ |
$5.81079$ |
$[0, -1, 0, -37764592, 275378080192]$ |
\(y^2=x^3-x^2-37764592x+275378080192\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(165100889254935026/7488299, 182888546320420384566824610/7488299)]$ |
$1$ |
| 88752.r1 |
88752l1 |
88752.r |
88752l |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 43^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$1.463326$ |
$-719292433/2592$ |
$1.01779$ |
$3.84098$ |
$[0, -1, 0, -44992, 3699712]$ |
\(y^2=x^3-x^2-44992x+3699712\) |
8.2.0.a.1 |
$[ ]$ |
$1$ |
| 88752.s1 |
88752r1 |
88752.s |
88752r |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{4} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$2.276144181$ |
$1$ |
|
$0$ |
$354816$ |
$1.704063$ |
$524288/3483$ |
$1.01944$ |
$3.82948$ |
$[0, -1, 0, 19723, -3457767]$ |
\(y^2=x^3-x^2+19723x-3457767\) |
86.2.0.? |
$[(589/2, 12943/2)]$ |
$1$ |
| 88752.t1 |
88752u4 |
88752.t |
88752u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{15} \cdot 3 \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1032$ |
$48$ |
$0$ |
$90.11487316$ |
$1$ |
|
$1$ |
$10644480$ |
$3.066822$ |
$18440127492397057/1032$ |
$1.01875$ |
$5.99795$ |
$[0, -1, 0, -162830952, -799694450832]$ |
\(y^2=x^3-x^2-162830952x-799694450832\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$ |
$[(115853598936395282407421990374971924816154/504809120105399655, 39417658849429330080816990258277438834680830328152492558472442/504809120105399655)]$ |
$1$ |
| 88752.t2 |
88752u2 |
88752.t |
88752u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{18} \cdot 3^{2} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$1032$ |
$48$ |
$0$ |
$45.05743658$ |
$1$ |
|
$3$ |
$5322240$ |
$2.720249$ |
$4502751117697/1065024$ |
$1.04479$ |
$5.26793$ |
$[0, -1, 0, -10177512, -12491191440]$ |
\(y^2=x^3-x^2-10177512x-12491191440\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 172.12.0.?, $\ldots$ |
$[(-276902775524924935022/390001337, 20657033670740966207020518570/390001337)]$ |
$1$ |
| 88752.t3 |
88752u3 |
88752.t |
88752u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{15} \cdot 3^{4} \cdot 43^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1032$ |
$48$ |
$0$ |
$22.52871829$ |
$1$ |
|
$1$ |
$10644480$ |
$3.066822$ |
$-3107661785857/2215383048$ |
$0.98806$ |
$5.30585$ |
$[0, -1, 0, -8994152, -15507339408]$ |
\(y^2=x^3-x^2-8994152x-15507339408\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 172.12.0.?, $\ldots$ |
$[(5273214675572/1703, 12109116774313910736/1703)]$ |
$1$ |
| 88752.t4 |
88752u1 |
88752.t |
88752u |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{24} \cdot 3 \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$1032$ |
$48$ |
$0$ |
$22.52871829$ |
$1$ |
|
$1$ |
$2661120$ |
$2.373676$ |
$1532808577/528384$ |
$0.93069$ |
$4.56707$ |
$[0, -1, 0, -710632, -146379920]$ |
\(y^2=x^3-x^2-710632x-146379920\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$ |
$[(-100302294396/15499, 32748993337925120/15499)]$ |
$1$ |
| 88752.u1 |
88752v1 |
88752.u |
88752v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 43^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$51.77714234$ |
$1$ |
|
$0$ |
$62415360$ |
$3.943958$ |
$-1687532377/30233088$ |
$1.09909$ |
$6.20003$ |
$[0, -1, 0, -110541232, 2528897862592]$ |
\(y^2=x^3-x^2-110541232x+2528897862592\) |
8.2.0.a.1 |
$[(930981984685235003075866/1787142659, 897740207959810721624575617391983090/1787142659)]$ |
$1$ |
| 88752.v1 |
88752bl2 |
88752.v |
88752bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$6386688$ |
$2.710175$ |
$-189962197148752/2146689$ |
$0.98253$ |
$5.35303$ |
$[0, 1, 0, -14060412, -20297835576]$ |
\(y^2=x^3+x^2-14060412x-20297835576\) |
3.4.0.a.1, 6.8.0-3.a.1.1, 516.16.0.? |
$[ ]$ |
$1$ |
| 88752.v2 |
88752bl1 |
88752.v |
88752bl |
$2$ |
$3$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2128896$ |
$2.160866$ |
$-37642192/846369$ |
$0.93552$ |
$4.32183$ |
$[0, 1, 0, -81972, -57054456]$ |
\(y^2=x^3+x^2-81972x-57054456\) |
3.4.0.a.1, 6.8.0-3.a.1.2, 516.16.0.? |
$[ ]$ |
$1$ |
| 88752.w1 |
88752bd1 |
88752.w |
88752bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{21} \cdot 3^{10} \cdot 43^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.388196242$ |
$1$ |
|
$6$ |
$1451520$ |
$2.063358$ |
$-1687532377/30233088$ |
$1.09909$ |
$4.21934$ |
$[0, 1, 0, -59784, -31826700]$ |
\(y^2=x^3+x^2-59784x-31826700\) |
8.2.0.a.1 |
$[(702, 16512)]$ |
$1$ |
| 88752.x1 |
88752bh1 |
88752.x |
88752bh |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10402560$ |
$3.343925$ |
$-719292433/2592$ |
$1.01779$ |
$5.82167$ |
$[0, 1, 0, -83190824, -292988333388]$ |
\(y^2=x^3+x^2-83190824x-292988333388\) |
8.2.0.a.1 |
$[ ]$ |
$1$ |
| 88752.y1 |
88752bi1 |
88752.y |
88752bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{14} \cdot 3 \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$532224$ |
$1.784250$ |
$912673/516$ |
$0.90862$ |
$3.91528$ |
$[0, 1, 0, -59784, 834036]$ |
\(y^2=x^3+x^2-59784x+834036\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 88752.y2 |
88752bi2 |
88752.y |
88752bi |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1064448$ |
$2.130825$ |
$56181887/33282$ |
$0.96315$ |
$4.27688$ |
$[0, 1, 0, 236056, 6869172]$ |
\(y^2=x^3+x^2+236056x+6869172\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 88752.z1 |
88752bg4 |
88752.z |
88752bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 43^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3548160$ |
$2.790573$ |
$1616855892553/22851963$ |
$1.05806$ |
$5.17804$ |
$[0, 1, 0, -7233904, 7394289812]$ |
\(y^2=x^3+x^2-7233904x+7394289812\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 172.24.0.?, 1032.48.0.? |
$[ ]$ |
$1$ |
| 88752.z2 |
88752bg2 |
88752.z |
88752bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$516$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1774080$ |
$2.444000$ |
$2845178713/1347921$ |
$0.95310$ |
$4.62135$ |
$[0, 1, 0, -873344, -134069004]$ |
\(y^2=x^3+x^2-873344x-134069004\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 172.24.0.?, 516.48.0.? |
$[ ]$ |
$1$ |
| 88752.z3 |
88752bg1 |
88752.z |
88752bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$887040$ |
$2.097427$ |
$1630532233/1161$ |
$0.91317$ |
$4.57249$ |
$[0, 1, 0, -725424, -237908844]$ |
\(y^2=x^3+x^2-725424x-237908844\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 258.6.0.?, 344.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.z4 |
88752bg3 |
88752.z |
88752bg |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 43^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3548160$ |
$2.790573$ |
$129784785047/92307627$ |
$0.98681$ |
$4.95665$ |
$[0, 1, 0, 3120496, -1014311340]$ |
\(y^2=x^3+x^2+3120496x-1014311340\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 88752.ba1 |
88752bb1 |
88752.ba |
88752bb |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{15} \cdot 3^{8} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.284717473$ |
$1$ |
|
$2$ |
$4161024$ |
$2.812897$ |
$-115481617/52488$ |
$0.95437$ |
$5.05122$ |
$[0, 1, 0, -3683824, 3635110100]$ |
\(y^2=x^3+x^2-3683824x+3635110100\) |
8.2.0.a.1 |
$[(8012, 698922)]$ |
$1$ |
| 88752.bb1 |
88752bj1 |
88752.bb |
88752bj |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$35280$ |
$0.323753$ |
$-176128/27$ |
$0.84680$ |
$2.47105$ |
$[0, 1, 0, -229, 1427]$ |
\(y^2=x^3+x^2-229x+1427\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 88752.bc1 |
88752bc1 |
88752.bc |
88752bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{2} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.961864062$ |
$1$ |
|
$2$ |
$1387008$ |
$2.196220$ |
$-294937/18$ |
$0.85517$ |
$4.48516$ |
$[0, 1, 0, -503544, 144434772]$ |
\(y^2=x^3+x^2-503544x+144434772\) |
8.2.0.a.1 |
$[(414, 2664)]$ |
$1$ |
| 88752.bd1 |
88752h2 |
88752.bd |
88752h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$109824$ |
$0.778190$ |
$3014284/729$ |
$0.92190$ |
$2.90812$ |
$[0, 1, 0, -1304, -14268]$ |
\(y^2=x^3+x^2-1304x-14268\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 516.12.0.? |
$[ ]$ |
$1$ |
| 88752.bd2 |
88752h1 |
88752.bd |
88752h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$54912$ |
$0.431616$ |
$476656/27$ |
$0.97221$ |
$2.62457$ |
$[0, 1, 0, -444, 3276]$ |
\(y^2=x^3+x^2-444x+3276\) |
2.3.0.a.1, 12.6.0.g.1, 172.6.0.?, 258.6.0.?, 516.12.0.? |
$[ ]$ |
$1$ |
| 88752.be1 |
88752g1 |
88752.be |
88752g |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$172$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13804032$ |
$3.316460$ |
$-734123392000/531441$ |
$1.05047$ |
$5.85585$ |
$[0, 1, 0, -94878353, 355903038171]$ |
\(y^2=x^3+x^2-94878353x+355903038171\) |
4.4.0.a.1, 86.2.0.?, 172.8.0.? |
$[ ]$ |
$1$ |
| 88752.bf1 |
88752z2 |
88752.bf |
88752z |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{14} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$2408$ |
$96$ |
$2$ |
$0.772886777$ |
$1$ |
|
$4$ |
$16990848$ |
$3.440224$ |
$-6311547390625/9565938$ |
$1.08160$ |
$5.95803$ |
$[0, 1, 0, -139799808, 637006953780]$ |
\(y^2=x^3+x^2-139799808x+637006953780\) |
7.8.0.a.1, 8.2.0.a.1, 28.16.0-7.a.1.2, 56.32.0-56.a.1.6, 301.24.0.?, $\ldots$ |
$[(-1233, 898614)]$ |
$1$ |
