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 |
88725.a1 |
88725bg1 |
88725.a |
88725bg |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7 \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.457602579$ |
$1$ |
|
$14$ |
$34560$ |
$0.210845$ |
$-647868416/63$ |
$0.88106$ |
$2.65486$ |
$[0, -1, 1, -498, 4448]$ |
\(y^2+y=x^3-x^2-498x+4448\) |
70.2.0.a.1 |
$[(12, 7), (53/2, 1/2)]$ |
88725.b1 |
88725n2 |
88725.b |
88725n |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7^{5} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$910$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$16848000$ |
$3.290352$ |
$-13383627864961024/151263$ |
$1.15507$ |
$6.13290$ |
$[0, -1, 1, -271677358, 1723658019618]$ |
\(y^2+y=x^3-x^2-271677358x+1723658019618\) |
5.6.0.a.1, 65.24.0-65.a.1.4, 70.12.0.a.1, 182.2.0.?, 910.48.1.? |
$[]$ |
88725.b2 |
88725n1 |
88725.b |
88725n |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{10} \cdot 5^{6} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$910$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$3369600$ |
$2.485634$ |
$5451776/413343$ |
$1.25184$ |
$4.66241$ |
$[0, -1, 1, 201392, 396580368]$ |
\(y^2+y=x^3-x^2+201392x+396580368\) |
5.6.0.a.1, 65.24.0-65.a.2.4, 70.12.0.a.2, 182.2.0.?, 910.48.1.? |
$[]$ |
88725.c1 |
88725w1 |
88725.c |
88725w |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{10} \cdot 7^{4} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$40884480$ |
$3.627098$ |
$-1375916339200/5250987$ |
$1.00957$ |
$6.11768$ |
$[0, -1, 1, -255858958, 1580519295318]$ |
\(y^2+y=x^3-x^2-255858958x+1580519295318\) |
6.2.0.a.1 |
$[]$ |
88725.d1 |
88725bp1 |
88725.d |
88725bp |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{7} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2336256$ |
$2.128124$ |
$-692224/315$ |
$0.76822$ |
$4.33009$ |
$[0, 1, 1, -238008, 59654144]$ |
\(y^2+y=x^3+x^2-238008x+59654144\) |
70.2.0.a.1 |
$[]$ |
88725.e1 |
88725ce1 |
88725.e |
88725ce |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.060326676$ |
$1$ |
|
$2$ |
$2246400$ |
$2.298038$ |
$-647868416/63$ |
$0.88106$ |
$4.85320$ |
$[0, 1, 1, -2105458, 1175290744]$ |
\(y^2+y=x^3+x^2-2105458x+1175290744\) |
70.2.0.a.1 |
$[(1408, 31687)]$ |
88725.f1 |
88725cp1 |
88725.f |
88725cp |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 7^{4} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.045149322$ |
$1$ |
|
$42$ |
$628992$ |
$1.539906$ |
$-1375916339200/5250987$ |
$1.00957$ |
$3.91935$ |
$[0, 1, 1, -60558, 5734694]$ |
\(y^2+y=x^3+x^2-60558x+5734694\) |
6.2.0.a.1 |
$[(264, 2866), (138, 157)]$ |
88725.g1 |
88725bw1 |
88725.g |
88725bw |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{4} \cdot 5^{6} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.281194878$ |
$1$ |
|
$8$ |
$1128960$ |
$1.878981$ |
$-2019487744/361179$ |
$0.90207$ |
$4.10256$ |
$[0, 1, 1, -111258, 16305644]$ |
\(y^2+y=x^3+x^2-111258x+16305644\) |
182.2.0.? |
$[(147, 1774)]$ |
88725.h1 |
88725h6 |
88725.h |
88725h |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$21840$ |
$192$ |
$1$ |
$5.560671717$ |
$1$ |
|
$0$ |
$1179648$ |
$2.161400$ |
$53297461115137/147$ |
$1.05087$ |
$4.97251$ |
$[1, 1, 1, -3312488, -2321869594]$ |
\(y^2+xy+y=x^3+x^2-3312488x-2321869594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(12695/2, 1094251/2)]$ |
88725.h2 |
88725h4 |
88725.h |
88725h |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$10920$ |
$192$ |
$1$ |
$2.780335858$ |
$1$ |
|
$6$ |
$589824$ |
$1.814825$ |
$13027640977/21609$ |
$1.08149$ |
$4.24255$ |
$[1, 1, 1, -207113, -36313594]$ |
\(y^2+xy+y=x^3+x^2-207113x-36313594\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(-259, 325)]$ |
88725.h3 |
88725h3 |
88725.h |
88725h |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{8} \cdot 5^{6} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$21840$ |
$192$ |
$1$ |
$2.780335858$ |
$1$ |
|
$4$ |
$589824$ |
$1.814825$ |
$6570725617/45927$ |
$1.00160$ |
$4.18248$ |
$[1, 1, 1, -164863, 25540406]$ |
\(y^2+xy+y=x^3+x^2-164863x+25540406\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(291, 1375)]$ |
88725.h4 |
88725h5 |
88725.h |
88725h |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3 \cdot 5^{6} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$21840$ |
$192$ |
$1$ |
$5.560671717$ |
$1$ |
|
$0$ |
$1179648$ |
$2.161400$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.32737$ |
$[1, 1, 1, -143738, -58875094]$ |
\(y^2+xy+y=x^3+x^2-143738x-58875094\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(11639/2, 1232075/2)]$ |
88725.h5 |
88725h2 |
88725.h |
88725h |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.390167929$ |
$1$ |
|
$14$ |
$294912$ |
$1.468252$ |
$7189057/3969$ |
$1.14862$ |
$3.58407$ |
$[1, 1, 1, -16988, -189844]$ |
\(y^2+xy+y=x^3+x^2-16988x-189844\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(-90, 832)]$ |
88725.h6 |
88725h1 |
88725.h |
88725h |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{6} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$21840$ |
$192$ |
$1$ |
$2.780335858$ |
$1$ |
|
$5$ |
$147456$ |
$1.121677$ |
$103823/63$ |
$0.97868$ |
$3.21213$ |
$[1, 1, 1, 4137, -20844]$ |
\(y^2+xy+y=x^3+x^2+4137x-20844\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(30, 347)]$ |
88725.i1 |
88725g1 |
88725.i |
88725g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{11} \cdot 5^{2} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$9.570990571$ |
$1$ |
|
$0$ |
$2471040$ |
$2.407753$ |
$287183643885385/8680203$ |
$0.97163$ |
$5.00554$ |
$[1, 1, 1, -3755268, -2802468414]$ |
\(y^2+xy+y=x^3+x^2-3755268x-2802468414\) |
12.2.0.a.1 |
$[(-90794/9, 592190/9)]$ |
88725.j1 |
88725bf1 |
88725.j |
88725bf |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{9} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.695976$ |
$5177717/189$ |
$0.97949$ |
$3.97905$ |
$[1, 1, 1, -76138, 7795406]$ |
\(y^2+xy+y=x^3+x^2-76138x+7795406\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
88725.j2 |
88725bf2 |
88725.j |
88725bf |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{9} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$2.042549$ |
$300763/35721$ |
$1.11388$ |
$4.19615$ |
$[1, 1, 1, 29487, 27864156]$ |
\(y^2+xy+y=x^3+x^2+29487x+27864156\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
88725.k1 |
88725m2 |
88725.k |
88725m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{8} \cdot 7^{6} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$580608$ |
$1.651783$ |
$140364780373/79413075$ |
$0.98271$ |
$3.77582$ |
$[1, 1, 1, -35188, -394594]$ |
\(y^2+xy+y=x^3+x^2-35188x-394594\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[]$ |
88725.k2 |
88725m1 |
88725.k |
88725m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$290304$ |
$1.305210$ |
$2111932187/1250235$ |
$0.94958$ |
$3.40747$ |
$[1, 1, 1, 8687, -43594]$ |
\(y^2+xy+y=x^3+x^2+8687x-43594\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 910.6.0.?, 5460.12.0.? |
$[]$ |
88725.l1 |
88725z2 |
88725.l |
88725z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{8} \cdot 5^{12} \cdot 7^{5} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$2.361965273$ |
$1$ |
|
$4$ |
$4976640$ |
$2.910744$ |
$80214500261567905813/1722980109375$ |
$1.09150$ |
$5.54560$ |
$[1, 1, 1, -29200688, -60745858594]$ |
\(y^2+xy+y=x^3+x^2-29200688x-60745858594\) |
2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(-3111, 988)]$ |
88725.l2 |
88725z1 |
88725.l |
88725z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{9} \cdot 7^{10} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$1.180982636$ |
$1$ |
|
$7$ |
$2488320$ |
$2.564171$ |
$21726280496903653/2860061896125$ |
$1.07432$ |
$4.82466$ |
$[1, 1, 1, -1889313, -879324594]$ |
\(y^2+xy+y=x^3+x^2-1889313x-879324594\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(-836, 11222)]$ |
88725.m1 |
88725y2 |
88725.m |
88725y |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{12} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$6.667442674$ |
$1$ |
|
$0$ |
$3594240$ |
$2.762444$ |
$24820429213/8859375$ |
$0.91720$ |
$4.97451$ |
$[1, 1, 1, -3337838, 1451604656]$ |
\(y^2+xy+y=x^3+x^2-3337838x+1451604656\) |
2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(181955/2, 77372141/2)]$ |
88725.m2 |
88725y1 |
88725.m |
88725y |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{2} \cdot 5^{9} \cdot 7^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$3.333721337$ |
$1$ |
|
$3$ |
$1797120$ |
$2.415867$ |
$1892819053/55125$ |
$0.87529$ |
$4.74863$ |
$[1, 1, 1, -1415463, -632249844]$ |
\(y^2+xy+y=x^3+x^2-1415463x-632249844\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(1465, 20267)]$ |
88725.n1 |
88725u1 |
88725.n |
88725u |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{5} \cdot 5^{10} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3369600$ |
$2.653900$ |
$1257715225/11907$ |
$0.89402$ |
$5.05267$ |
$[1, 1, 1, -4491263, 3631577906]$ |
\(y^2+xy+y=x^3+x^2-4491263x+3631577906\) |
12.2.0.a.1 |
$[]$ |
88725.o1 |
88725v4 |
88725.o |
88725v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{12} \cdot 5^{10} \cdot 7^{3} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13934592$ |
$3.344379$ |
$1559802282754777489/1481059636875$ |
$0.97830$ |
$5.87516$ |
$[1, 1, 1, -102080313, 396604785156]$ |
\(y^2+xy+y=x^3+x^2-102080313x+396604785156\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
88725.o2 |
88725v2 |
88725.o |
88725v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{8} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$6967296$ |
$2.997807$ |
$718576775407009/362361861225$ |
$0.96651$ |
$5.20083$ |
$[1, 1, 1, -7883938, 3052330406]$ |
\(y^2+xy+y=x^3+x^2-7883938x+3052330406\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |
88725.o3 |
88725v1 |
88725.o |
88725v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{7} \cdot 7^{3} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3483648$ |
$2.651234$ |
$117713838907729/1322517105$ |
$0.92830$ |
$5.04205$ |
$[1, 1, 1, -4313813, -3416736094]$ |
\(y^2+xy+y=x^3+x^2-4313813x-3416736094\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 156.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
88725.o4 |
88725v3 |
88725.o |
88725v |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{7} \cdot 7^{12} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13934592$ |
$3.344379$ |
$36472485598112591/24291459037755$ |
$1.07485$ |
$5.54551$ |
$[1, 1, 1, 29190437, 23591534156]$ |
\(y^2+xy+y=x^3+x^2+29190437x+23591534156\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 156.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
88725.p1 |
88725cc1 |
88725.p |
88725cc |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{11} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$1.423770606$ |
$1$ |
|
$4$ |
$950400$ |
$1.929998$ |
$287183643885385/8680203$ |
$0.97163$ |
$4.50234$ |
$[1, 0, 0, -555513, -159405858]$ |
\(y^2+xy=x^3-555513x-159405858\) |
12.2.0.a.1 |
$[(-429, 255)]$ |
88725.q1 |
88725bt6 |
88725.q |
88725bt |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{7} \cdot 7 \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$21840$ |
$192$ |
$1$ |
$6.228831251$ |
$1$ |
|
$0$ |
$24772608$ |
$3.693050$ |
$282352188585428161201/20813369346315$ |
$0.99865$ |
$6.33144$ |
$[1, 0, 0, -577451963, -5340699691458]$ |
\(y^2+xy=x^3-577451963x-5340699691458\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 120.24.0.?, $\ldots$ |
$[(-55457/2, 202157/2)]$ |
88725.q2 |
88725bt4 |
88725.q |
88725bt |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$21840$ |
$192$ |
$1$ |
$0.778603906$ |
$1$ |
|
$8$ |
$12386304$ |
$3.346478$ |
$11372424889583066401/50586128775$ |
$0.98653$ |
$6.04953$ |
$[1, 0, 0, -197941338, 1071875917917]$ |
\(y^2+xy=x^3-197941338x+1071875917917\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 60.12.0-4.c.1.1, 120.48.0.?, $\ldots$ |
$[(7707, 60459)]$ |
88725.q3 |
88725bt3 |
88725.q |
88725bt |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{12} \cdot 5^{8} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$10920$ |
$192$ |
$1$ |
$3.114415625$ |
$1$ |
|
$6$ |
$12386304$ |
$3.346478$ |
$83339496416030401/18593645841225$ |
$0.97073$ |
$5.61804$ |
$[1, 0, 0, -38447588, -71931925833]$ |
\(y^2+xy=x^3-38447588x-71931925833\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 120.48.0.?, 140.24.0.?, $\ldots$ |
$[(-4358, 115579)]$ |
88725.q4 |
88725bt2 |
88725.q |
88725bt |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{6} \cdot 5^{10} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.557207812$ |
$1$ |
|
$12$ |
$6193152$ |
$2.999901$ |
$2912015927948401/184878500625$ |
$0.94885$ |
$5.32365$ |
$[1, 0, 0, -12569463, 16183089792]$ |
\(y^2+xy=x^3-12569463x+16183089792\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 60.24.0-4.b.1.2, 120.48.0.?, $\ldots$ |
$[(2523, 21807)]$ |
88725.q5 |
88725bt1 |
88725.q |
88725bt |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{14} \cdot 7^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$21840$ |
$192$ |
$1$ |
$3.114415625$ |
$1$ |
|
$5$ |
$3096576$ |
$2.653328$ |
$373092501599/6718359375$ |
$0.94544$ |
$4.83587$ |
$[1, 0, 0, 633662, 1065511667]$ |
\(y^2+xy=x^3+633662x+1065511667\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[(-649, 19844)]$ |
88725.q6 |
88725bt5 |
88725.q |
88725bt |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{24} \cdot 5^{7} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$21840$ |
$192$ |
$1$ |
$1.557207812$ |
$1$ |
|
$0$ |
$24772608$ |
$3.693050$ |
$949279533867428399/1670570708285115$ |
$0.99398$ |
$5.89419$ |
$[1, 0, 0, 86506787, -442421647708]$ |
\(y^2+xy=x^3+86506787x-442421647708\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 70.6.0.a.1, 140.12.0.?, $\ldots$ |
$[(38003/2, 8859847/2)]$ |
88725.r1 |
88725cm1 |
88725.r |
88725cm |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{5} \cdot 5^{4} \cdot 7^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.188618111$ |
$1$ |
|
$20$ |
$51840$ |
$0.566707$ |
$1257715225/11907$ |
$0.89402$ |
$2.85433$ |
$[1, 0, 0, -1063, 13142]$ |
\(y^2+xy=x^3-1063x+13142\) |
12.2.0.a.1 |
$[(2, 104), (23, 20)]$ |
88725.s1 |
88725cl1 |
88725.s |
88725cl |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3^{4} \cdot 5^{9} \cdot 7^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.145435$ |
$833237621/51597$ |
$0.84991$ |
$4.42501$ |
$[1, 0, 0, -414138, -96971733]$ |
\(y^2+xy=x^3-414138x-96971733\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[]$ |
88725.s2 |
88725cl2 |
88725.s |
88725cl |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{8} \cdot 5^{9} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.492008$ |
$403583419/7761663$ |
$0.91964$ |
$4.66621$ |
$[1, 0, 0, 325237, -405291108]$ |
\(y^2+xy=x^3+325237x-405291108\) |
2.3.0.a.1, 70.6.0.a.1, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[]$ |
88725.t1 |
88725bs1 |
88725.t |
88725bs |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3 \cdot 5^{11} \cdot 7^{5} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$8.592170560$ |
$1$ |
|
$2$ |
$4492800$ |
$2.771141$ |
$-24606647689/157565625$ |
$0.93541$ |
$4.96720$ |
$[1, 0, 0, -1415463, -2251556958]$ |
\(y^2+xy=x^3-1415463x-2251556958\) |
420.2.0.? |
$[(126917, 45149279)]$ |
88725.u1 |
88725bu1 |
88725.u |
88725bu |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{3} \cdot 5^{7} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$0.857605695$ |
$1$ |
|
$4$ |
$55296$ |
$0.483467$ |
$-28561/945$ |
$0.95022$ |
$2.55499$ |
$[1, 0, 0, -88, 2417]$ |
\(y^2+xy=x^3-88x+2417\) |
420.2.0.? |
$[(-13, 44)]$ |
88725.v1 |
88725cn1 |
88725.v |
88725cn |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( 3 \cdot 5^{3} \cdot 7^{5} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1612800$ |
$2.249451$ |
$108647414150813/1440074181$ |
$0.94977$ |
$4.61123$ |
$[1, 0, 0, -840018, 292850427]$ |
\(y^2+xy=x^3-840018x+292850427\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[]$ |
88725.v2 |
88725cn2 |
88725.v |
88725cn |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{3} \cdot 7^{10} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3225600$ |
$2.596024$ |
$-366600498893/429644853729$ |
$1.03436$ |
$4.77996$ |
$[1, 0, 0, -125993, 774817302]$ |
\(y^2+xy=x^3-125993x+774817302\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
88725.w1 |
88725bb1 |
88725.w |
88725bb |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{8} \cdot 5^{3} \cdot 7 \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1038336$ |
$2.121162$ |
$44302336/45927$ |
$1.02308$ |
$4.22041$ |
$[0, -1, 1, 190407, 28385138]$ |
\(y^2+y=x^3-x^2+190407x+28385138\) |
70.2.0.a.1 |
$[]$ |
88725.x1 |
88725a2 |
88725.x |
88725a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{12} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$53.72928629$ |
$1$ |
|
$0$ |
$10108800$ |
$3.234253$ |
$-756218111874334720/3363432789843$ |
$1.12554$ |
$5.69749$ |
$[0, -1, 1, -51856523, -144265906237]$ |
\(y^2+y=x^3-x^2-51856523x-144265906237\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.1, 30.16.0-6.b.1.1 |
$[(55604014872195967580313753/66615985291, 320174516408712110584884884473366793128/66615985291)]$ |
88725.x2 |
88725a1 |
88725.x |
88725a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{15} \cdot 5^{2} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$30$ |
$16$ |
$0$ |
$17.90976209$ |
$1$ |
|
$0$ |
$3369600$ |
$2.684948$ |
$19444740423680/34451725707$ |
$1.22085$ |
$4.83272$ |
$[0, -1, 1, 1530577, -1047002422]$ |
\(y^2+y=x^3-x^2+1530577x-1047002422\) |
3.4.0.a.1, 6.8.0.b.1, 15.8.0-3.a.1.2, 30.16.0-6.b.1.2 |
$[(161108088/509, 1587081491237/509)]$ |
88725.y1 |
88725b1 |
88725.y |
88725b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{2} \cdot 5^{7} \cdot 7^{7} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$7.653782998$ |
$1$ |
|
$2$ |
$10063872$ |
$3.289478$ |
$-21842779439104/37059435$ |
$1.03904$ |
$5.79498$ |
$[0, -1, 1, -75210633, 251446726793]$ |
\(y^2+y=x^3-x^2-75210633x+251446726793\) |
70.2.0.a.1 |
$[(3861, 136384)]$ |
88725.z1 |
88725c1 |
88725.z |
88725c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.443707963$ |
$1$ |
|
$2$ |
$10368$ |
$-0.137399$ |
$-2129920/147$ |
$0.79891$ |
$2.02163$ |
$[0, -1, 1, -43, -102]$ |
\(y^2+y=x^3-x^2-43x-102\) |
6.2.0.a.1 |
$[(8, 1)]$ |
88725.ba1 |
88725bc1 |
88725.ba |
88725bc |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{4} \cdot 5^{3} \cdot 7^{3} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$539136$ |
$1.660515$ |
$-27262976/27783$ |
$1.11940$ |
$3.81668$ |
$[0, -1, 1, -29293, -3196737]$ |
\(y^2+y=x^3-x^2-29293x-3196737\) |
70.2.0.a.1 |
$[]$ |
88725.bb1 |
88725bi1 |
88725.bb |
88725bi |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3^{4} \cdot 5^{3} \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.492663584$ |
$1$ |
|
$4$ |
$41472$ |
$0.378041$ |
$-27262976/27783$ |
$1.11940$ |
$2.46591$ |
$[0, -1, 1, -173, -1402]$ |
\(y^2+y=x^3-x^2-173x-1402\) |
70.2.0.a.1 |
$[(32, 157)]$ |
88725.bc1 |
88725q1 |
88725.bc |
88725q |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 13^{2} \) |
\( - 3 \cdot 5^{2} \cdot 7^{2} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$5.173057902$ |
$1$ |
|
$6$ |
$134784$ |
$1.145077$ |
$-2129920/147$ |
$0.79891$ |
$3.37240$ |
$[0, -1, 1, -7323, -252757]$ |
\(y^2+y=x^3-x^2-7323x-252757\) |
6.2.0.a.1 |
$[(113, 591), (46333/9, 9844984/9)]$ |