| 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 |
| 389376.a1 |
389376a2 |
389376.a |
389376a |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$9105408$ |
$2.303574$ |
$1728$ |
|
$3.94832$ |
$[0, 0, 0, -474552, 0]$ |
\(y^2=x^3-474552x\) |
|
$[]$ |
| 389376.a2 |
389376a1 |
389376.a |
389376a |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$4552704$ |
$1.956999$ |
$1728$ |
|
$3.62523$ |
$[0, 0, 0, 118638, 0]$ |
\(y^2=x^3+118638x\) |
|
$[]$ |
| 389376.b1 |
389376b1 |
389376.b |
389376b |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.989397891$ |
$1$ |
|
$5$ |
$350208$ |
$0.674524$ |
$1728$ |
|
$2.42967$ |
$[0, 0, 0, -702, 0]$ |
\(y^2=x^3-702x\) |
|
$[(27, 27)]$ |
| 389376.b2 |
389376b2 |
389376.b |
389376b |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.978795783$ |
$1$ |
|
$5$ |
$700416$ |
$1.021097$ |
$1728$ |
|
$2.75275$ |
$[0, 0, 0, 2808, 0]$ |
\(y^2=x^3+2808x\) |
|
$[(1, 53)]$ |
| 389376.c1 |
389376c1 |
389376.c |
389376c |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.189 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.041109$ |
$1728$ |
|
$2.77141$ |
$[0, 0, 0, -3042, 0]$ |
\(y^2=x^3-3042x\) |
|
$[]$ |
| 389376.c2 |
389376c2 |
389376.c |
389376c |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.145 |
2B |
|
|
|
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.387682$ |
$1728$ |
|
$3.09450$ |
$[0, 0, 0, 12168, 0]$ |
\(y^2=x^3+12168x\) |
|
$[]$ |
| 389376.d1 |
389376d1 |
389376.d |
389376d |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.725565373$ |
$1$ |
|
$3$ |
$1517568$ |
$1.407692$ |
$1728$ |
|
$3.11315$ |
$[0, 0, 0, -13182, 0]$ |
\(y^2=x^3-13182x\) |
|
$[(147, 1113)]$ |
| 389376.d2 |
389376d2 |
389376.d |
389376d |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$9.451130747$ |
$1$ |
|
$1$ |
$3035136$ |
$1.754267$ |
$1728$ |
|
$3.43624$ |
$[0, 0, 0, 52728, 0]$ |
\(y^2=x^3+52728x\) |
|
$[(2809/7, 614641/7)]$ |
| 389376.e1 |
389376e2 |
389376.e |
389376e |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$233472$ |
$0.471791$ |
$1728$ |
|
$2.24067$ |
$[0, 0, 0, -312, 0]$ |
\(y^2=x^3-312x\) |
|
$[]$ |
| 389376.e2 |
389376e1 |
389376.e |
389376e |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$116736$ |
$0.125218$ |
$1728$ |
|
$1.91758$ |
$[0, 0, 0, 78, 0]$ |
\(y^2=x^3+78x\) |
|
$[]$ |
| 389376.f1 |
389376f2 |
389376.f |
389376f |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3120$ |
$48$ |
$1$ |
$7.924793186$ |
$1$ |
|
$2$ |
$4838400$ |
$2.099304$ |
$-85184/371293$ |
$1.11420$ |
$3.76773$ |
$[0, 0, 0, -11154, -39352664]$ |
\(y^2=x^3-11154x-39352664\) |
5.6.0.a.1, 40.12.0.bp.2, 104.2.0.?, 240.24.0.?, 260.12.0.?, $\ldots$ |
$[(50622, 11389586)]$ |
| 389376.f2 |
389376f1 |
389376.f |
389376f |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3120$ |
$48$ |
$1$ |
$1.584958637$ |
$1$ |
|
$2$ |
$967680$ |
$1.294584$ |
$-85184/13$ |
$0.73383$ |
$3.09240$ |
$[0, 0, 0, -11154, 509704]$ |
\(y^2=x^3-11154x+509704\) |
5.6.0.a.1, 40.12.0.bp.1, 104.2.0.?, 240.24.0.?, 260.12.0.?, $\ldots$ |
$[(78, 338)]$ |
| 389376.g1 |
389376g1 |
389376.g |
389376g |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3120$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$967680$ |
$1.294584$ |
$-85184/13$ |
$0.73383$ |
$3.09240$ |
$[0, 0, 0, -11154, -509704]$ |
\(y^2=x^3-11154x-509704\) |
5.6.0.a.1, 40.12.0.bp.1, 104.2.0.?, 240.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 389376.g2 |
389376g2 |
389376.g |
389376g |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3120$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4838400$ |
$2.099304$ |
$-85184/371293$ |
$1.11420$ |
$3.76773$ |
$[0, 0, 0, -11154, 39352664]$ |
\(y^2=x^3-11154x+39352664\) |
5.6.0.a.1, 40.12.0.bp.2, 104.2.0.?, 240.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 389376.h1 |
389376h4 |
389376.h |
389376h |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{11} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$5529600$ |
$2.365356$ |
$58591911104/243$ |
$1.10697$ |
$4.44151$ |
$[0, 0, 0, -3938376, 3008308160]$ |
\(y^2=x^3-3938376x+3008308160\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 389376.h2 |
389376h3 |
389376.h |
389376h |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$2764800$ |
$2.018784$ |
$-873722816/59049$ |
$1.08875$ |
$3.80029$ |
$[0, 0, 0, -242346, 48527336]$ |
\(y^2=x^3-242346x+48527336\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 389376.h3 |
389376h2 |
389376.h |
389376h |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$1.560638$ |
$85184/3$ |
$1.24048$ |
$3.39731$ |
$[0, 0, 0, -44616, -3515200]$ |
\(y^2=x^3-44616x-3515200\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 389376.h4 |
389376h1 |
389376.h |
389376h |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.214066$ |
$64/9$ |
$1.31110$ |
$2.94178$ |
$[0, 0, 0, 1014, -193336]$ |
\(y^2=x^3+1014x-193336\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[]$ |
| 389376.i1 |
389376i1 |
389376.i |
389376i |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$405504$ |
$0.956174$ |
$78402752/27$ |
$0.97287$ |
$3.00663$ |
$[0, 0, 0, -8346, -293384]$ |
\(y^2=x^3-8346x-293384\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.x.1, $\ldots$ |
$[]$ |
| 389376.i2 |
389376i2 |
389376.i |
389376i |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$811008$ |
$1.302748$ |
$-778688/729$ |
$0.93856$ |
$3.04618$ |
$[0, 0, 0, -7176, -378560]$ |
\(y^2=x^3-7176x-378560\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.i.1, $\ldots$ |
$[]$ |
| 389376.j1 |
389376j2 |
389376.j |
389376j |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$10543104$ |
$2.585220$ |
$78402752/27$ |
$0.97287$ |
$4.52528$ |
$[0, 0, 0, -5641896, -5156517184]$ |
\(y^2=x^3-5641896x-5156517184\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.x.1, $\ldots$ |
$[]$ |
| 389376.j2 |
389376j1 |
389376.j |
389376j |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$5271552$ |
$2.238647$ |
$-778688/729$ |
$0.93856$ |
$3.91866$ |
$[0, 0, 0, -303186, -103962040]$ |
\(y^2=x^3-303186x-103962040\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.i.1, $\ldots$ |
$[]$ |
| 389376.k1 |
389376k1 |
389376.k |
389376k |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$4.003463039$ |
$1$ |
|
$3$ |
$829440$ |
$1.315762$ |
$1728$ |
|
$3.02745$ |
$[0, 0, 0, -9126, 0]$ |
\(y^2=x^3-9126x\) |
|
$[(243, 3483)]$ |
| 389376.k2 |
389376k2 |
389376.k |
389376k |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$8.006926078$ |
$1$ |
|
$1$ |
$1658880$ |
$1.662334$ |
$1728$ |
|
$3.35054$ |
$[0, 0, 0, 36504, 0]$ |
\(y^2=x^3+36504x\) |
|
$[(1849/3, 108575/3)]$ |
| 389376.l1 |
389376l1 |
389376.l |
389376l |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1118208$ |
$1.682346$ |
$1728$ |
|
$3.36919$ |
$[0, 0, 0, -39546, 0]$ |
\(y^2=x^3-39546x\) |
|
$[]$ |
| 389376.l2 |
389376l2 |
389376.l |
389376l |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$2236416$ |
$2.028919$ |
$1728$ |
|
$3.69228$ |
$[0, 0, 0, 158184, 0]$ |
\(y^2=x^3+158184x\) |
|
$[]$ |
| 389376.m1 |
389376m2 |
389376.m |
389376m |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.448619243$ |
$1$ |
|
$3$ |
$172032$ |
$0.746445$ |
$1728$ |
|
$2.49671$ |
$[0, 0, 0, -936, 0]$ |
\(y^2=x^3-936x\) |
|
$[(81, 675)]$ |
| 389376.m2 |
389376m1 |
389376.m |
389376m |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.724309621$ |
$1$ |
|
$5$ |
$86016$ |
$0.399871$ |
$1728$ |
|
$2.17363$ |
$[0, 0, 0, 234, 0]$ |
\(y^2=x^3+234x\) |
|
$[(3, 27)]$ |
| 389376.n1 |
389376n2 |
389376.n |
389376n |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.113029$ |
$1728$ |
|
$2.83846$ |
$[0, 0, 0, -4056, 0]$ |
\(y^2=x^3-4056x\) |
|
$[]$ |
| 389376.n2 |
389376n1 |
389376.n |
389376n |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$276480$ |
$0.766456$ |
$1728$ |
|
$2.51537$ |
$[0, 0, 0, 1014, 0]$ |
\(y^2=x^3+1014x\) |
|
$[]$ |
| 389376.o1 |
389376o1 |
389376.o |
389376o |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$1.024924289$ |
$1$ |
|
$5$ |
$405504$ |
$0.956174$ |
$78402752/27$ |
$0.97287$ |
$3.00663$ |
$[0, 0, 0, -8346, 293384]$ |
\(y^2=x^3-8346x+293384\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.x.1, $\ldots$ |
$[(55, 27)]$ |
| 389376.o2 |
389376o2 |
389376.o |
389376o |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$2.049848579$ |
$1$ |
|
$5$ |
$811008$ |
$1.302748$ |
$-778688/729$ |
$0.93856$ |
$3.04618$ |
$[0, 0, 0, -7176, 378560]$ |
\(y^2=x^3-7176x+378560\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.i.1, $\ldots$ |
$[(-23, 729)]$ |
| 389376.p1 |
389376p2 |
389376.p |
389376p |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$11.32710336$ |
$1$ |
|
$1$ |
$10543104$ |
$2.585220$ |
$78402752/27$ |
$0.97287$ |
$4.52528$ |
$[0, 0, 0, -5641896, 5156517184]$ |
\(y^2=x^3-5641896x+5156517184\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.x.1, $\ldots$ |
$[(318041/11, 122612463/11)]$ |
| 389376.p2 |
389376p1 |
389376.p |
389376p |
$2$ |
$2$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$312$ |
$72$ |
$3$ |
$5.663551682$ |
$1$ |
|
$3$ |
$5271552$ |
$2.238647$ |
$-778688/729$ |
$0.93856$ |
$3.91866$ |
$[0, 0, 0, -303186, 103962040]$ |
\(y^2=x^3-303186x+103962040\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.i.1, 24.36.0.i.1, $\ldots$ |
$[(-313, 12969)]$ |
| 389376.q1 |
389376q4 |
389376.q |
389376q |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{11} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$38.65642997$ |
$1$ |
|
$1$ |
$5529600$ |
$2.365356$ |
$58591911104/243$ |
$1.10697$ |
$4.44151$ |
$[0, 0, 0, -3938376, -3008308160]$ |
\(y^2=x^3-3938376x-3008308160\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(174322872609659393/2942737, 72415234197507327058514763/2942737)]$ |
| 389376.q2 |
389376q3 |
389376.q |
389376q |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$19.32821498$ |
$1$ |
|
$1$ |
$2764800$ |
$2.018784$ |
$-873722816/59049$ |
$1.08875$ |
$3.80029$ |
$[0, 0, 0, -242346, -48527336]$ |
\(y^2=x^3-242346x-48527336\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(732994079/191, 19838964816783/191)]$ |
| 389376.q3 |
389376q2 |
389376.q |
389376q |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{7} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$7.731285995$ |
$1$ |
|
$1$ |
$1105920$ |
$1.560638$ |
$85184/3$ |
$1.24048$ |
$3.39731$ |
$[0, 0, 0, -44616, 3515200]$ |
\(y^2=x^3-44616x+3515200\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.d.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(7697/7, 212211/7)]$ |
| 389376.q4 |
389376q1 |
389376.q |
389376q |
$4$ |
$10$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.6.0.1 |
2B, 5B |
$3120$ |
$288$ |
$5$ |
$3.865642997$ |
$1$ |
|
$3$ |
$552960$ |
$1.214066$ |
$64/9$ |
$1.31110$ |
$2.94178$ |
$[0, 0, 0, 1014, 193336]$ |
\(y^2=x^3+1014x+193336\) |
2.3.0.a.1, 5.6.0.a.1, 8.6.0.a.1, 10.18.0.a.1, 12.6.0.f.1, $\ldots$ |
$[(95, 1071)]$ |
| 389376.r1 |
389376r2 |
389376.r |
389376r |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$1$ |
$1$ |
|
$0$ |
$7488000$ |
$2.478199$ |
$-23788477376$ |
$1.02928$ |
$4.64618$ |
$[0, 0, 0, -9477858, 11230870664]$ |
\(y^2=x^3-9477858x+11230870664\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.2, $\ldots$ |
$[]$ |
| 389376.r2 |
389376r1 |
389376.r |
389376r |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$1$ |
$1$ |
|
$0$ |
$1497600$ |
$1.673479$ |
$64$ |
$0.75650$ |
$3.36626$ |
$[0, 0, 0, 13182, 2970344]$ |
\(y^2=x^3+13182x+2970344\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.1, $\ldots$ |
$[]$ |
| 389376.s1 |
389376s2 |
389376.s |
389376s |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$15.49231863$ |
$1$ |
|
$0$ |
$1152000$ |
$1.542295$ |
$-23788477376$ |
$1.02928$ |
$3.77370$ |
$[0, 0, 0, -224328, -40895296]$ |
\(y^2=x^3-224328x-40895296\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.2, $\ldots$ |
$[(18332249/59, 78162566911/59)]$ |
| 389376.s2 |
389376s1 |
389376.s |
389376s |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$3.098463727$ |
$1$ |
|
$2$ |
$230400$ |
$0.737577$ |
$64$ |
$0.75650$ |
$2.49378$ |
$[0, 0, 0, 312, -10816]$ |
\(y^2=x^3+312x-10816\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.1, $\ldots$ |
$[(65, 533)]$ |
| 389376.t1 |
389376t1 |
389376.t |
389376t |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$312$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2709504$ |
$1.831352$ |
$-354894912/2197$ |
$1.03160$ |
$3.72254$ |
$[0, 0, 0, -179478, 29422224]$ |
\(y^2=x^3-179478x+29422224\) |
3.3.0.a.1, 12.6.0.d.1, 104.2.0.?, 312.12.1.? |
$[]$ |
| 389376.u1 |
389376u1 |
389376.u |
389376u |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$6.370937541$ |
$1$ |
|
$0$ |
$1290240$ |
$1.601309$ |
$21952/13$ |
$0.92990$ |
$3.29197$ |
$[0, 0, 0, 28392, -281216]$ |
\(y^2=x^3+28392x-281216\) |
104.2.0.? |
$[(19344/5, 2752672/5)]$ |
| 389376.v1 |
389376v1 |
389376.v |
389376v |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$4.509474392$ |
$1$ |
|
$0$ |
$1290240$ |
$1.601309$ |
$21952/13$ |
$0.92990$ |
$3.29197$ |
$[0, 0, 0, 28392, 281216]$ |
\(y^2=x^3+28392x+281216\) |
104.2.0.? |
$[(2392/3, 139256/3)]$ |
| 389376.w1 |
389376w1 |
389376.w |
389376w |
$1$ |
$1$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$312$ |
$12$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2709504$ |
$1.831352$ |
$-354894912/2197$ |
$1.03160$ |
$3.72254$ |
$[0, 0, 0, -179478, -29422224]$ |
\(y^2=x^3-179478x-29422224\) |
3.3.0.a.1, 12.6.0.d.1, 104.2.0.?, 312.12.1.? |
$[]$ |
| 389376.x1 |
389376x2 |
389376.x |
389376x |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$5.033029562$ |
$1$ |
|
$4$ |
$1152000$ |
$1.542295$ |
$-23788477376$ |
$1.02928$ |
$3.77370$ |
$[0, 0, 0, -224328, 40895296]$ |
\(y^2=x^3-224328x+40895296\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.2, $\ldots$ |
$[(273, 13), (2440/3, 1808/3)]$ |
| 389376.x2 |
389376x1 |
389376.x |
389376x |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$5.033029562$ |
$1$ |
|
$4$ |
$230400$ |
$0.737577$ |
$64$ |
$0.75650$ |
$2.49378$ |
$[0, 0, 0, 312, 10816]$ |
\(y^2=x^3+312x+10816\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.1, $\ldots$ |
$[(0, 104), (168, 2192)]$ |
| 389376.y1 |
389376y2 |
389376.y |
389376y |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$58.40036632$ |
$1$ |
|
$0$ |
$7488000$ |
$2.478199$ |
$-23788477376$ |
$1.02928$ |
$4.64618$ |
$[0, 0, 0, -9477858, -11230870664]$ |
\(y^2=x^3-9477858x-11230870664\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.2, $\ldots$ |
$[(23084341713404450492785300/73241522823, 65359135511828597528801785876963575052/73241522823)]$ |
| 389376.y2 |
389376y1 |
389376.y |
389376y |
$2$ |
$5$ |
\( 2^{8} \cdot 3^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3, 5$ |
9.9.0.1, 5.6.0.1 |
3Nn, 5B |
$9360$ |
$864$ |
$33$ |
$11.68007326$ |
$1$ |
|
$0$ |
$1497600$ |
$1.673479$ |
$64$ |
$0.75650$ |
$3.36626$ |
$[0, 0, 0, 13182, -2970344]$ |
\(y^2=x^3+13182x-2970344\) |
3.3.0.a.1, 5.6.0.a.1, 9.9.0.a.1, 15.18.0.a.1, 20.12.0.p.1, $\ldots$ |
$[(122308/21, 43456132/21)]$ |
