| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 9675.a1 |
9675t1 |
9675.a |
9675t |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{12} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.822329258$ |
$1$ |
|
$6$ |
$221184$ |
$2.196491$ |
$-645008376471556096/783675$ |
$1.01002$ |
$6.23891$ |
$1$ |
$[0, 0, 1, -4050075, 3137203656]$ |
\(y^2+y=x^3-4050075x+3137203656\) |
86.2.0.? |
$[(1160, 112)]$ |
$1$ |
| 9675.b1 |
9675q1 |
9675.b |
9675q |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.766783904$ |
$1$ |
|
$4$ |
$3840$ |
$0.349595$ |
$-4096/43$ |
$0.78068$ |
$2.99847$ |
$1$ |
$[0, 0, 1, -75, -1094]$ |
\(y^2+y=x^3-75x-1094\) |
86.2.0.? |
$[(25, 112)]$ |
$1$ |
| 9675.c1 |
9675r1 |
9675.c |
9675r |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.554799431$ |
$1$ |
|
$4$ |
$1584$ |
$-0.184703$ |
$20480/43$ |
$0.67020$ |
$2.25600$ |
$1$ |
$[0, 0, 1, 15, 36]$ |
\(y^2+y=x^3+15x+36\) |
86.2.0.? |
$[(-1, 4)]$ |
$1$ |
| 9675.d1 |
9675s1 |
9675.d |
9675s |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{12} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.704069134$ |
$1$ |
|
$4$ |
$36864$ |
$1.166470$ |
$99897344/783675$ |
$0.89128$ |
$4.05328$ |
$1$ |
$[0, 0, 1, 2175, -138344]$ |
\(y^2+y=x^3+2175x-138344\) |
86.2.0.? |
$[(40, 112)]$ |
$1$ |
| 9675.e1 |
9675v1 |
9675.e |
9675v |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.274256365$ |
$1$ |
|
$6$ |
$5760$ |
$0.646744$ |
$-121945/43$ |
$0.73314$ |
$3.44920$ |
$1$ |
$[1, -1, 1, -680, 8822]$ |
\(y^2+xy+y=x^3-x^2-680x+8822\) |
86.2.0.? |
$[(-6, 115)]$ |
$1$ |
| 9675.f1 |
9675f2 |
9675.f |
9675f |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{13} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$3.185257$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$7.62510$ |
$1$ |
$[1, -1, 1, -281250605, 1815537111022]$ |
\(y^2+xy+y=x^3-x^2-281250605x+1815537111022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.f2 |
9675f1 |
9675.f |
9675f |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{20} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$2.838684$ |
$1953326569433829507/262451171875$ |
$1.01058$ |
$6.71877$ |
$1$ |
$[1, -1, 1, -17578730, 28369142272]$ |
\(y^2+xy+y=x^3-x^2-17578730x+28369142272\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.g1 |
9675d1 |
9675.g |
9675d |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{9} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.630887$ |
$-19683/43$ |
$0.84680$ |
$3.37736$ |
$1$ |
$[1, -1, 1, -380, -6128]$ |
\(y^2+xy+y=x^3-x^2-380x-6128\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 9675.h1 |
9675e2 |
9675.h |
9675e |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$1.246431$ |
$2315685267/9245$ |
$1.00157$ |
$4.47922$ |
$1$ |
$[1, -1, 1, -18605, 978022]$ |
\(y^2+xy+y=x^3-x^2-18605x+978022\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.h2 |
9675e1 |
9675.h |
9675e |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{8} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.899858$ |
$1860867/1075$ |
$0.91503$ |
$3.70269$ |
$1$ |
$[1, -1, 1, -1730, -728]$ |
\(y^2+xy+y=x^3-x^2-1730x-728\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.i1 |
9675l1 |
9675.i |
9675l |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.533566033$ |
$1$ |
|
$4$ |
$1296$ |
$-0.152174$ |
$-163840/43$ |
$0.72931$ |
$2.41805$ |
$1$ |
$[0, 0, 1, -30, 76]$ |
\(y^2+y=x^3-30x+76\) |
86.2.0.? |
$[(4, 4)]$ |
$1$ |
| 9675.j1 |
9675g2 |
9675.j |
9675g |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{8} \cdot 5^{10} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1290$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48960$ |
$1.982428$ |
$-1971080396800/715563$ |
$1.03023$ |
$5.55678$ |
$1$ |
$[0, 0, 1, -502500, 137147656]$ |
\(y^2+y=x^3-502500x+137147656\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 86.2.0.?, 258.8.0.?, 1290.16.0.? |
$[ ]$ |
$1$ |
| 9675.j2 |
9675g1 |
9675.j |
9675g |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{12} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1290$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16320$ |
$1.433121$ |
$819200/31347$ |
$0.97636$ |
$4.41071$ |
$1$ |
$[0, 0, 1, 3750, 713281]$ |
\(y^2+y=x^3+3750x+713281\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 86.2.0.?, 258.8.0.?, 1290.16.0.? |
$[ ]$ |
$1$ |
| 9675.k1 |
9675x2 |
9675.k |
9675x |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{8} \cdot 5^{4} \cdot 43^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9792$ |
$1.177708$ |
$-1971080396800/715563$ |
$1.03023$ |
$4.50456$ |
$1$ |
$[0, 0, 1, -20100, 1097181]$ |
\(y^2+y=x^3-20100x+1097181\) |
3.8.0-3.a.1.2, 86.2.0.?, 258.16.0.? |
$[ ]$ |
$1$ |
| 9675.k2 |
9675x1 |
9675.k |
9675x |
$2$ |
$3$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{12} \cdot 5^{4} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$258$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3264$ |
$0.628402$ |
$819200/31347$ |
$0.97636$ |
$3.35848$ |
$1$ |
$[0, 0, 1, 150, 5706]$ |
\(y^2+y=x^3+150x+5706\) |
3.8.0-3.a.1.1, 86.2.0.?, 258.16.0.? |
$[ ]$ |
$1$ |
| 9675.l1 |
9675i1 |
9675.l |
9675i |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.075068678$ |
$1$ |
|
$4$ |
$6144$ |
$0.909813$ |
$-56623104/26875$ |
$0.99851$ |
$3.78098$ |
$1$ |
$[0, 0, 1, -1800, 39656]$ |
\(y^2+y=x^3-1800x+39656\) |
86.2.0.? |
$[(30, 112)]$ |
$1$ |
| 9675.m1 |
9675j1 |
9675.m |
9675j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{10} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$3.417601150$ |
$1$ |
|
$0$ |
$8192$ |
$0.886911$ |
$-799178752/3483$ |
$0.95634$ |
$4.00498$ |
$1$ |
$[0, 0, 1, -4350, -110844]$ |
\(y^2+y=x^3-4350x-110844\) |
86.2.0.? |
$[(305/2, 221/2)]$ |
$1$ |
| 9675.n1 |
9675k1 |
9675.n |
9675k |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{18} \cdot 5^{14} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$11.65137179$ |
$1$ |
|
$0$ |
$294912$ |
$2.519787$ |
$660867352100864/8926548046875$ |
$1.07121$ |
$5.82734$ |
$1$ |
$[0, 0, 1, 408300, -474640844]$ |
\(y^2+y=x^3+408300x-474640844\) |
86.2.0.? |
$[(1448710/23, 1770801629/23)]$ |
$1$ |
| 9675.o1 |
9675u1 |
9675.o |
9675u |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.561243712$ |
$1$ |
|
$4$ |
$6480$ |
$0.652545$ |
$-163840/43$ |
$0.72931$ |
$3.47028$ |
$1$ |
$[0, 0, 1, -750, 9531]$ |
\(y^2+y=x^3-750x+9531\) |
86.2.0.? |
$[(-25, 112)]$ |
$1$ |
| 9675.p1 |
9675c2 |
9675.p |
9675c |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{13} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$2.635952$ |
$8000051600110940079507/144453125$ |
$1.03953$ |
$6.90685$ |
$1$ |
$[1, -1, 0, -31250067, -67231698534]$ |
\(y^2+xy=x^3-x^2-31250067x-67231698534\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.p2 |
9675c1 |
9675.p |
9675c |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{20} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$215040$ |
$2.289375$ |
$1953326569433829507/262451171875$ |
$1.01058$ |
$6.00052$ |
$1$ |
$[1, -1, 0, -1953192, -1050057909]$ |
\(y^2+xy=x^3-x^2-1953192x-1050057909\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.q1 |
9675o1 |
9675.q |
9675o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.967971475$ |
$1$ |
|
$3$ |
$13824$ |
$0.996677$ |
$1263214441/29025$ |
$0.85169$ |
$4.05405$ |
$1$ |
$[1, -1, 0, -5067, -134784]$ |
\(y^2+xy=x^3-x^2-5067x-134784\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(204, 2598)]$ |
$1$ |
| 9675.q2 |
9675o2 |
9675.q |
9675o |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{12} \cdot 5^{7} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$3.935942950$ |
$1$ |
|
$0$ |
$27648$ |
$1.343250$ |
$1685159/6739605$ |
$1.19354$ |
$4.29608$ |
$1$ |
$[1, -1, 0, 558, -421659]$ |
\(y^2+xy=x^3-x^2+558x-421659\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(807/2, 21639/2)]$ |
$1$ |
| 9675.r1 |
9675h3 |
9675.r |
9675h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{7} \cdot 5^{10} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33792$ |
$1.540668$ |
$36097320816649/80625$ |
$0.94094$ |
$5.17206$ |
$2$ |
$[1, -1, 0, -154917, -23430384]$ |
\(y^2+xy=x^3-x^2-154917x-23430384\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 9675.r2 |
9675h4 |
9675.r |
9675h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{7} \cdot 5^{7} \cdot 43^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33792$ |
$1.540668$ |
$184122897769/51282015$ |
$1.05622$ |
$4.59690$ |
$2$ |
$[1, -1, 0, -26667, 1213866]$ |
\(y^2+xy=x^3-x^2-26667x+1213866\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 9675.r3 |
9675h2 |
9675.r |
9675h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{8} \cdot 5^{8} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$16896$ |
$1.194096$ |
$9116230969/416025$ |
$0.87424$ |
$4.26941$ |
$1$ |
$[1, -1, 0, -9792, -355509]$ |
\(y^2+xy=x^3-x^2-9792x-355509\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 172.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 9675.r4 |
9675h1 |
9675.r |
9675h |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{10} \cdot 5^{7} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8448$ |
$0.847522$ |
$357911/17415$ |
$0.85974$ |
$3.64553$ |
$2$ |
$[1, -1, 0, 333, -21384]$ |
\(y^2+xy=x^3-x^2+333x-21384\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 9675.s1 |
9675m3 |
9675.s |
9675m |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{18} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$8.283805147$ |
$1$ |
|
$0$ |
$30720$ |
$1.570852$ |
$1616855892553/22851963$ |
$1.05806$ |
$4.83364$ |
$2$ |
$[1, -1, 0, -55017, -4892234]$ |
\(y^2+xy=x^3-x^2-55017x-4892234\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.2, $\ldots$ |
$[(-28461/14, 578327/14)]$ |
$1$ |
| 9675.s2 |
9675m2 |
9675.s |
9675m |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{12} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2580$ |
$48$ |
$0$ |
$4.141902573$ |
$1$ |
|
$4$ |
$15360$ |
$1.224277$ |
$2845178713/1347921$ |
$0.95310$ |
$4.14252$ |
$1$ |
$[1, -1, 0, -6642, 90391]$ |
\(y^2+xy=x^3-x^2-6642x+90391\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 60.24.0-12.b.1.2, 172.12.0.?, $\ldots$ |
$[(51/2, 649/2)]$ |
$1$ |
| 9675.s3 |
9675m1 |
9675.s |
9675m |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{9} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$2.070951286$ |
$1$ |
|
$3$ |
$7680$ |
$0.877705$ |
$1630532233/1161$ |
$0.91317$ |
$4.08186$ |
$2$ |
$[1, -1, 0, -5517, 159016]$ |
\(y^2+xy=x^3-x^2-5517x+159016\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 120.24.0.?, $\ldots$ |
$[(24, 188)]$ |
$1$ |
| 9675.s4 |
9675m4 |
9675.s |
9675m |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{9} \cdot 5^{6} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$2.070951286$ |
$1$ |
|
$0$ |
$30720$ |
$1.570852$ |
$129784785047/92307627$ |
$0.98681$ |
$4.55880$ |
$2$ |
$[1, -1, 0, 23733, 667516]$ |
\(y^2+xy=x^3-x^2+23733x+667516\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(407/2, 15847/2)]$ |
$1$ |
| 9675.t1 |
9675a1 |
9675.t |
9675a |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{3} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2240$ |
$0.081581$ |
$-19683/43$ |
$0.84680$ |
$2.65910$ |
$1$ |
$[1, -1, 0, -42, 241]$ |
\(y^2+xy=x^3-x^2-42x+241\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 9675.u1 |
9675n1 |
9675.u |
9675n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.087423171$ |
$1$ |
|
$2$ |
$1152$ |
$-0.157975$ |
$-121945/43$ |
$0.73314$ |
$2.39697$ |
$1$ |
$[1, -1, 0, -27, 76]$ |
\(y^2+xy=x^3-x^2-27x+76\) |
86.2.0.? |
$[(8, 14)]$ |
$1$ |
| 9675.v1 |
9675b2 |
9675.v |
9675b |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{7} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6144$ |
$0.697125$ |
$2315685267/9245$ |
$1.00157$ |
$3.76096$ |
$1$ |
$[1, -1, 0, -2067, -35534]$ |
\(y^2+xy=x^3-x^2-2067x-35534\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.v2 |
9675b1 |
9675.v |
9675b |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( 3^{3} \cdot 5^{8} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.350552$ |
$1860867/1075$ |
$0.91503$ |
$2.98443$ |
$1$ |
$[1, -1, 0, -192, 91]$ |
\(y^2+xy=x^3-x^2-192x+91\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[ ]$ |
$1$ |
| 9675.w1 |
9675w1 |
9675.w |
9675w |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{6} \cdot 5^{8} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.523278750$ |
$1$ |
|
$0$ |
$7920$ |
$0.620016$ |
$20480/43$ |
$0.67020$ |
$3.30823$ |
$1$ |
$[0, 0, 1, 375, 4531]$ |
\(y^2+y=x^3+375x+4531\) |
86.2.0.? |
$[(25/2, 671/2)]$ |
$1$ |
| 9675.x1 |
9675p1 |
9675.x |
9675p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 43 \) |
\( - 3^{20} \cdot 5^{8} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$12.79529191$ |
$1$ |
|
$0$ |
$516096$ |
$2.640301$ |
$-522547125460258816/9506987907075$ |
$1.00952$ |
$6.21934$ |
$1$ |
$[0, 0, 1, -3775575, -2867770719]$ |
\(y^2+y=x^3-3775575x-2867770719\) |
86.2.0.? |
$[(49621865/122, 266879100551/122)]$ |
$1$ |