| 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 |
| 10192.a1 |
10192bn2 |
10192.a |
10192bn |
$2$ |
$7$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{13} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$728$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$127008$ |
$1.955896$ |
$-1064019559329/125497034$ |
$1.06269$ |
$5.18690$ |
$[0, 0, 0, -166747, -28755062]$ |
\(y^2=x^3-166747x-28755062\) |
7.24.0.a.2, 28.48.0-7.a.2.2, 104.2.0.?, 728.96.2.? |
$[]$ |
| 10192.a2 |
10192bn1 |
10192.a |
10192bn |
$2$ |
$7$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{19} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$728$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$18144$ |
$0.982942$ |
$-2146689/1664$ |
$0.96784$ |
$3.83803$ |
$[0, 0, 0, -2107, 56938]$ |
\(y^2=x^3-2107x+56938\) |
7.24.0.a.1, 28.48.0-7.a.1.2, 104.2.0.?, 728.96.2.? |
$[]$ |
| 10192.b1 |
10192bo1 |
10192.b |
10192bo |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28224$ |
$0.972999$ |
$338688/169$ |
$0.83745$ |
$3.78840$ |
$[0, 0, 0, -2401, 16807]$ |
\(y^2=x^3-2401x+16807\) |
2.2.0.a.1, 14.6.0.a.1, 364.12.0.? |
$[]$ |
| 10192.c1 |
10192ba1 |
10192.c |
10192ba |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.278740958$ |
$1$ |
|
$4$ |
$4608$ |
$0.503353$ |
$-65536/91$ |
$0.78564$ |
$3.20007$ |
$[0, 1, 0, -261, 2911]$ |
\(y^2=x^3+x^2-261x+2911\) |
182.2.0.? |
$[(23, 98)]$ |
| 10192.d1 |
10192z2 |
10192.d |
10192z |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1092$ |
$16$ |
$0$ |
$5.197442268$ |
$1$ |
|
$2$ |
$2592$ |
$0.236705$ |
$-170338000/2197$ |
$0.84614$ |
$3.07847$ |
$[0, 1, 0, -268, -1800]$ |
\(y^2=x^3+x^2-268x-1800\) |
3.4.0.a.1, 52.2.0.a.1, 84.8.0.?, 156.8.0.?, 546.8.0.?, $\ldots$ |
$[(171, 2232)]$ |
| 10192.d2 |
10192z1 |
10192.d |
10192z |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1092$ |
$16$ |
$0$ |
$1.732480756$ |
$1$ |
|
$2$ |
$864$ |
$-0.312601$ |
$14000/13$ |
$0.65599$ |
$2.05689$ |
$[0, 1, 0, 12, -8]$ |
\(y^2=x^3+x^2+12x-8\) |
3.4.0.a.1, 52.2.0.a.1, 84.8.0.?, 156.8.0.?, 546.8.0.?, $\ldots$ |
$[(3, 8)]$ |
| 10192.e1 |
10192k1 |
10192.e |
10192k |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.872609616$ |
$1$ |
|
$2$ |
$9216$ |
$0.814209$ |
$-1024/4459$ |
$0.96270$ |
$3.58402$ |
$[0, 1, 0, -65, 17611]$ |
\(y^2=x^3+x^2-65x+17611\) |
182.2.0.? |
$[(-26, 49)]$ |
| 10192.f1 |
10192bk2 |
10192.f |
10192bk |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{15} \cdot 7^{9} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$96768$ |
$1.952511$ |
$6634074439/228488$ |
$1.01875$ |
$5.24917$ |
$[0, 1, 0, -214832, -37239980]$ |
\(y^2=x^3+x^2-214832x-37239980\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[]$ |
| 10192.f2 |
10192bk1 |
10192.f |
10192bk |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{18} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$48384$ |
$1.605938$ |
$68921/10816$ |
$1.08251$ |
$4.61254$ |
$[0, 1, 0, 4688, -2028972]$ |
\(y^2=x^3+x^2+4688x-2028972\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[]$ |
| 10192.g1 |
10192bb3 |
10192.g |
10192bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{15} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$3276$ |
$144$ |
$3$ |
$14.86826160$ |
$1$ |
|
$0$ |
$124416$ |
$2.026207$ |
$-178643795968/524596891$ |
$1.15023$ |
$5.16894$ |
$[0, 1, 0, -91989, -26497661]$ |
\(y^2=x^3+x^2-91989x-26497661\) |
3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 117.36.0.?, 156.8.0.?, $\ldots$ |
$[(16348270/131, 61620762273/131)]$ |
| 10192.g2 |
10192bb1 |
10192.g |
10192bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$3276$ |
$144$ |
$3$ |
$1.652029067$ |
$1$ |
|
$2$ |
$13824$ |
$0.927594$ |
$-43614208/91$ |
$0.87141$ |
$4.07263$ |
$[0, 1, 0, -5749, 166179]$ |
\(y^2=x^3+x^2-5749x+166179\) |
3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 117.36.0.?, 156.8.0.?, $\ldots$ |
$[(30, 147)]$ |
| 10192.g3 |
10192bb2 |
10192.g |
10192bb |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{9} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$3276$ |
$144$ |
$3$ |
$4.956087201$ |
$1$ |
|
$2$ |
$41472$ |
$1.476900$ |
$224755712/753571$ |
$0.95798$ |
$4.41971$ |
$[0, 1, 0, 9931, 837283]$ |
\(y^2=x^3+x^2+9931x+837283\) |
3.12.0.a.1, 84.24.0.?, 117.36.0.?, 156.24.0.?, 182.2.0.?, $\ldots$ |
$[(926, 28371)]$ |
| 10192.h1 |
10192p2 |
10192.h |
10192p |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1092$ |
$96$ |
$2$ |
$0.438500267$ |
$1$ |
|
$4$ |
$10368$ |
$0.863426$ |
$13707167488/4826809$ |
$0.95626$ |
$3.67278$ |
$[0, -1, 0, -1682, 17179]$ |
\(y^2=x^3-x^2-1682x+17179\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.4, 14.6.0.a.1, $\ldots$ |
$[(-7, 169)]$ |
| 10192.h2 |
10192p1 |
10192.h |
10192p |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1092$ |
$96$ |
$2$ |
$1.315500802$ |
$1$ |
|
$2$ |
$3456$ |
$0.314120$ |
$997335808/169$ |
$0.90281$ |
$3.38884$ |
$[0, -1, 0, -702, -6929]$ |
\(y^2=x^3-x^2-702x-6929\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.1, 14.6.0.a.1, $\ldots$ |
$[(-15, 1)]$ |
| 10192.i1 |
10192i1 |
10192.i |
10192i |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$28$ |
$12$ |
$0$ |
$0.381187669$ |
$1$ |
|
$2$ |
$2304$ |
$0.101606$ |
$53385472/28561$ |
$0.89334$ |
$2.64996$ |
$[0, -1, 0, -72, -41]$ |
\(y^2=x^3-x^2-72x-41\) |
2.2.0.a.1, 14.6.0.a.1, 28.12.0-14.a.1.1 |
$[(-5, 13)]$ |
| 10192.j1 |
10192w1 |
10192.j |
10192w |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{15} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1.152365979$ |
$1$ |
|
$4$ |
$16128$ |
$1.225615$ |
$-29791/104$ |
$0.82287$ |
$4.12634$ |
$[0, -1, 0, -3544, 216560]$ |
\(y^2=x^3-x^2-3544x+216560\) |
728.2.0.? |
$[(82, 686)]$ |
| 10192.k1 |
10192x1 |
10192.k |
10192x |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{21} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$2.129875526$ |
$1$ |
|
$2$ |
$20736$ |
$1.152098$ |
$-2673465150439/6656$ |
$0.98079$ |
$4.63411$ |
$[0, -1, 0, -32384, -2232320]$ |
\(y^2=x^3-x^2-32384x-2232320\) |
728.2.0.? |
$[(320, 4480)]$ |
| 10192.l1 |
10192e1 |
10192.l |
10192e |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$1.000983751$ |
$1$ |
|
$6$ |
$768$ |
$-0.309565$ |
$614656/169$ |
$0.86793$ |
$2.16626$ |
$[0, -1, 0, -16, -13]$ |
\(y^2=x^3-x^2-16x-13\) |
2.2.0.a.1, 14.6.0.a.1, 364.12.0.? |
$[(7, 13), (-1, 1)]$ |
| 10192.m1 |
10192g1 |
10192.m |
10192g |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$0.833882985$ |
$1$ |
|
$6$ |
$4608$ |
$0.671218$ |
$-31250/91$ |
$0.83978$ |
$3.40727$ |
$[0, -1, 0, -408, -7664]$ |
\(y^2=x^3-x^2-408x-7664\) |
728.2.0.? |
$[(40, 196)]$ |
| 10192.n1 |
10192o1 |
10192.n |
10192o |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$0.522278712$ |
$1$ |
|
$4$ |
$8064$ |
$0.846433$ |
$90770176/169$ |
$0.83351$ |
$3.97251$ |
$[0, -1, 0, -4230, 107143]$ |
\(y^2=x^3-x^2-4230x+107143\) |
2.2.0.a.1, 14.6.0.a.1, 52.4.0-2.a.1.1, 364.12.0.? |
$[(33, 49)]$ |
| 10192.o1 |
10192h1 |
10192.o |
10192h |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$0.686201178$ |
$1$ |
|
$2$ |
$1152$ |
$-0.211287$ |
$12291328/169$ |
$0.79421$ |
$2.49084$ |
$[0, -1, 0, -44, 127]$ |
\(y^2=x^3-x^2-44x+127\) |
2.2.0.a.1, 14.6.0.a.1, 364.12.0.? |
$[(-1, 13)]$ |
| 10192.p1 |
10192bf4 |
10192.p |
10192bf |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{17} \cdot 7^{9} \cdot 13^{8} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.51 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$829440$ |
$3.116108$ |
$22868021811807457713/8953460393696$ |
$1.08758$ |
$6.99610$ |
$[0, 0, 0, -46360811, 121458436890]$ |
\(y^2=x^3-46360811x+121458436890\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.p.1.8, 56.48.0-56.bp.1.4 |
$[]$ |
| 10192.p2 |
10192bf3 |
10192.p |
10192bf |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{17} \cdot 7^{18} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.105 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$3.116108$ |
$3389174547561866673/74853681183008$ |
$1.05145$ |
$6.78924$ |
$[0, 0, 0, -24534251, -45873053926]$ |
\(y^2=x^3-24534251x-45873053926\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.k.1.3, 28.12.0-4.c.1.2, 56.48.0-56.v.1.7 |
$[]$ |
| 10192.p3 |
10192bf2 |
10192.p |
10192bf |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{22} \cdot 7^{12} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.5 |
2Cs |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$414720$ |
$2.769535$ |
$8511781274893233/3440817243136$ |
$1.08472$ |
$6.14056$ |
$[0, 0, 0, -3334891, 1287042330]$ |
\(y^2=x^3-3334891x+1287042330\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.a.1.3, 28.24.0-28.b.1.2, 56.48.0-56.d.1.4 |
$[]$ |
| 10192.p4 |
10192bf1 |
10192.p |
10192bf |
$4$ |
$4$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{32} \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.61 |
2B |
$56$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$207360$ |
$2.422962$ |
$71903073502287/60782804992$ |
$1.03131$ |
$5.62331$ |
$[0, 0, 0, 679189, 146240794]$ |
\(y^2=x^3+679189x+146240794\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.p.1.6, 14.6.0.b.1, 28.24.0-28.g.1.1, $\ldots$ |
$[]$ |
| 10192.q1 |
10192be1 |
10192.q |
10192be |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2160$ |
$0.195082$ |
$442368/13$ |
$1.27279$ |
$2.97398$ |
$[0, 0, 0, -196, -1029]$ |
\(y^2=x^3-196x-1029\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.24.0.e.1, 56.12.0-4.b.1.2, $\ldots$ |
$[]$ |
| 10192.q2 |
10192be2 |
10192.q |
10192be |
$2$ |
$2$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4320$ |
$0.541656$ |
$432/169$ |
$1.09219$ |
$3.22924$ |
$[0, 0, 0, 49, -3430]$ |
\(y^2=x^3+49x-3430\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 56.12.0-4.a.1.1, 104.24.0.?, $\ldots$ |
$[]$ |
| 10192.r1 |
10192l1 |
10192.r |
10192l |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{20} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16128$ |
$1.345671$ |
$-23625/3328$ |
$0.98971$ |
$4.27484$ |
$[0, 0, 0, -1715, 427378]$ |
\(y^2=x^3-1715x+427378\) |
52.2.0.a.1 |
$[]$ |
| 10192.s1 |
10192bc1 |
10192.s |
10192bc |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{20} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.372716$ |
$-23625/3328$ |
$0.98971$ |
$3.00980$ |
$[0, 0, 0, -35, -1246]$ |
\(y^2=x^3-35x-1246\) |
52.2.0.a.1 |
$[]$ |
| 10192.t1 |
10192m1 |
10192.t |
10192m |
$2$ |
$7$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.3 |
7B.6.2 |
$364$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.547103$ |
$-56723625/13$ |
$1.28311$ |
$3.67908$ |
$[0, 0, 0, -1715, -27342]$ |
\(y^2=x^3-1715x-27342\) |
7.24.0.b.1, 28.48.0-7.b.1.1, 52.2.0.a.1, 182.48.0.?, 364.96.2.? |
$[]$ |
| 10192.t2 |
10192m2 |
10192.t |
10192m |
$2$ |
$7$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{4} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.3 |
7B.6.2 |
$364$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.520058$ |
$11397810375/62748517$ |
$1.05408$ |
$4.48565$ |
$[0, 0, 0, 10045, 1130626]$ |
\(y^2=x^3+10045x+1130626\) |
7.24.0.b.1, 28.48.0-7.b.1.2, 52.2.0.a.1, 182.48.0.?, 364.96.2.? |
$[]$ |
| 10192.u1 |
10192bd1 |
10192.u |
10192bd |
$2$ |
$7$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.3 |
7B.6.2 |
$364$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$1.520058$ |
$-56723625/13$ |
$1.28311$ |
$4.94411$ |
$[0, 0, 0, -84035, 9378306]$ |
\(y^2=x^3-84035x+9378306\) |
7.24.0.b.1, 28.48.0-7.b.1.2, 52.2.0.a.1, 182.48.0.?, 364.96.2.? |
$[]$ |
| 10192.u2 |
10192bd2 |
10192.u |
10192bd |
$2$ |
$7$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{10} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.3 |
7B.6.2 |
$364$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$188160$ |
$2.493015$ |
$11397810375/62748517$ |
$1.05408$ |
$5.75069$ |
$[0, 0, 0, 492205, -387804718]$ |
\(y^2=x^3+492205x-387804718\) |
7.24.0.b.1, 28.48.0-7.b.1.1, 52.2.0.a.1, 182.48.0.?, 364.96.2.? |
$[]$ |
| 10192.v1 |
10192d1 |
10192.v |
10192d |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{7} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9216$ |
$0.975354$ |
$-135834624/15379$ |
$0.86662$ |
$3.91428$ |
$[0, 0, 0, -3332, -80948]$ |
\(y^2=x^3-3332x-80948\) |
182.2.0.? |
$[]$ |
| 10192.w1 |
10192bg1 |
10192.w |
10192bg |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 7^{11} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$1.336391$ |
$-86044336128/218491$ |
$0.99544$ |
$4.59438$ |
$[0, 0, 0, -28616, 1867292]$ |
\(y^2=x^3-28616x+1867292\) |
182.2.0.? |
$[]$ |
| 10192.x1 |
10192bh1 |
10192.x |
10192bh |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{12} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.729773$ |
$110592/91$ |
$0.71571$ |
$3.42460$ |
$[0, 0, 0, 784, 5488]$ |
\(y^2=x^3+784x+5488\) |
182.2.0.? |
$[]$ |
| 10192.y1 |
10192v1 |
10192.y |
10192v |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{23} \cdot 7^{13} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$2.031298471$ |
$1$ |
|
$4$ |
$354816$ |
$2.537270$ |
$-10824513276632329/21926008832$ |
$0.99602$ |
$6.16698$ |
$[0, 1, 0, -3613080, 2646827924]$ |
\(y^2=x^3+x^2-3613080x+2646827924\) |
728.2.0.? |
$[(-2084, 33614)]$ |
| 10192.z1 |
10192b1 |
10192.z |
10192b |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$3.080787122$ |
$1$ |
|
$0$ |
$8064$ |
$0.761668$ |
$12291328/169$ |
$0.79421$ |
$3.75587$ |
$[0, 1, 0, -2172, -39229]$ |
\(y^2=x^3+x^2-2172x-39229\) |
2.2.0.a.1, 14.6.0.a.1, 52.4.0-2.a.1.1, 364.12.0.? |
$[(-107/2, 169/2)]$ |
| 10192.ba1 |
10192s1 |
10192.ba |
10192s |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$1.532689896$ |
$1$ |
|
$2$ |
$1152$ |
$-0.126523$ |
$90770176/169$ |
$0.83351$ |
$2.70747$ |
$[0, 1, 0, -86, -337]$ |
\(y^2=x^3+x^2-86x-337\) |
2.2.0.a.1, 14.6.0.a.1, 364.12.0.? |
$[(11, 13)]$ |
| 10192.bb1 |
10192r3 |
10192.bb |
10192r |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{13} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$16.46710554$ |
$1$ |
|
$0$ |
$124416$ |
$2.346558$ |
$-424962187484640625/182$ |
$1.05379$ |
$6.56427$ |
$[0, 1, 0, -12279808, -16566959564]$ |
\(y^2=x^3+x^2-12279808x-16566959564\) |
3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 252.24.0.?, 312.8.0.?, $\ldots$ |
$[(408655906/177, 7925641115336/177)]$ |
| 10192.bb2 |
10192r2 |
10192.bb |
10192r |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{15} \cdot 7^{9} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$5.489035180$ |
$1$ |
|
$0$ |
$41472$ |
$1.797253$ |
$-795309684625/6028568$ |
$0.94067$ |
$5.13668$ |
$[0, 1, 0, -151328, -22856716]$ |
\(y^2=x^3+x^2-151328x-22856716\) |
3.12.0.a.1, 84.24.0.?, 312.24.0.?, 728.2.0.?, 819.36.0.?, $\ldots$ |
$[(9370/3, 831824/3)]$ |
| 10192.bb3 |
10192r1 |
10192.bb |
10192r |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{21} \cdot 7^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$1.829678393$ |
$1$ |
|
$0$ |
$13824$ |
$1.247948$ |
$37595375/46592$ |
$0.87083$ |
$4.07049$ |
$[0, 1, 0, 5472, -164620]$ |
\(y^2=x^3+x^2+5472x-164620\) |
3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 252.24.0.?, 312.8.0.?, $\ldots$ |
$[(298/3, 6272/3)]$ |
| 10192.bc1 |
10192c1 |
10192.bc |
10192c |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5376$ |
$0.663390$ |
$614656/169$ |
$0.86793$ |
$3.43130$ |
$[0, 1, 0, -800, 6047]$ |
\(y^2=x^3+x^2-800x+6047\) |
2.2.0.a.1, 14.6.0.a.1, 52.4.0-2.a.1.1, 364.12.0.? |
$[]$ |
| 10192.bd1 |
10192f1 |
10192.bd |
10192f |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{11} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$3.154144675$ |
$1$ |
|
$2$ |
$3744$ |
$0.579924$ |
$-235298/13$ |
$0.96559$ |
$3.44118$ |
$[0, 1, 0, -800, -9388]$ |
\(y^2=x^3+x^2-800x-9388\) |
104.2.0.? |
$[(62, 428)]$ |
| 10192.be1 |
10192bi1 |
10192.be |
10192bi |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{15} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.252659$ |
$-29791/104$ |
$0.82287$ |
$2.86130$ |
$[0, 1, 0, -72, -652]$ |
\(y^2=x^3+x^2-72x-652\) |
728.2.0.? |
$[]$ |
| 10192.bf1 |
10192bj1 |
10192.bf |
10192bj |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{21} \cdot 7^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$728$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145152$ |
$2.125053$ |
$-2673465150439/6656$ |
$0.98079$ |
$5.89915$ |
$[0, 1, 0, -1586832, 768859412]$ |
\(y^2=x^3+x^2-1586832x+768859412\) |
728.2.0.? |
$[]$ |
| 10192.bg1 |
10192u3 |
10192.bg |
10192u |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{21} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$15.19254363$ |
$1$ |
|
$0$ |
$54432$ |
$1.720490$ |
$-10730978619193/6656$ |
$1.02193$ |
$5.41721$ |
$[0, 1, 0, -360264, -83350156]$ |
\(y^2=x^3+x^2-360264x-83350156\) |
3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 104.2.0.?, 117.36.0.?, $\ldots$ |
$[(53901310/249, 249537246848/249)]$ |
| 10192.bg2 |
10192u2 |
10192.bg |
10192u |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{15} \cdot 7^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$6552$ |
$144$ |
$3$ |
$5.064181210$ |
$1$ |
|
$0$ |
$18144$ |
$1.171183$ |
$-10218313/17576$ |
$0.94717$ |
$4.06445$ |
$[0, 1, 0, -3544, -163052]$ |
\(y^2=x^3+x^2-3544x-163052\) |
3.12.0.a.1, 84.24.0.?, 104.2.0.?, 117.36.0.?, 312.24.1.?, $\ldots$ |
$[(694/3, 4528/3)]$ |
| 10192.bg3 |
10192u1 |
10192.bg |
10192u |
$3$ |
$9$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( - 2^{13} \cdot 7^{6} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$6552$ |
$144$ |
$3$ |
$1.688060403$ |
$1$ |
|
$4$ |
$6048$ |
$0.621877$ |
$12167/26$ |
$0.84415$ |
$3.29278$ |
$[0, 1, 0, 376, 4724]$ |
\(y^2=x^3+x^2+376x+4724\) |
3.4.0.a.1, 9.12.0.a.1, 84.8.0.?, 104.2.0.?, 117.36.0.?, $\ldots$ |
$[(-10, 8)]$ |
| 10192.bh1 |
10192t2 |
10192.bh |
10192t |
$2$ |
$3$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \) |
\( 2^{4} \cdot 7^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1092$ |
$96$ |
$2$ |
$10.47649009$ |
$1$ |
|
$0$ |
$72576$ |
$1.836382$ |
$13707167488/4826809$ |
$0.95626$ |
$4.93782$ |
$[0, 1, 0, -82434, -5727541]$ |
\(y^2=x^3+x^2-82434x-5727541\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 14.6.0.a.1, 42.24.0.a.1, $\ldots$ |
$[(1170235/57, 626327351/57)]$ |
