| 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 |
| 40896.a1 |
40896t1 |
40896.a |
40896t |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.179428$ |
$176558481/36352$ |
$0.90900$ |
$3.58398$ |
$[0, 0, 0, -6732, -170640]$ |
\(y^2=x^3-6732x-170640\) |
568.2.0.? |
$[]$ |
| 40896.b1 |
40896bl2 |
40896.b |
40896bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{14} \cdot 3^{9} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$1.862974067$ |
$1$ |
|
$5$ |
$101376$ |
$1.036926$ |
$10536048/5041$ |
$0.80831$ |
$3.36779$ |
$[0, 0, 0, -3132, -28080]$ |
\(y^2=x^3-3132x-28080\) |
2.3.0.a.1, 12.6.0.a.1, 284.6.0.?, 852.12.0.? |
$[(-11, 71)]$ |
| 40896.b2 |
40896bl1 |
40896.b |
40896bl |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{10} \cdot 3^{9} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$3.725948135$ |
$1$ |
|
$3$ |
$50688$ |
$0.690352$ |
$95551488/71$ |
$0.94845$ |
$3.31433$ |
$[0, 0, 0, -2592, -50760]$ |
\(y^2=x^3-2592x-50760\) |
2.3.0.a.1, 12.6.0.b.1, 284.6.0.?, 426.6.0.?, 852.12.0.? |
$[(402, 7992)]$ |
| 40896.c1 |
40896e2 |
40896.c |
40896e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{14} \cdot 3^{9} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$1.091135668$ |
$1$ |
|
$7$ |
$101376$ |
$1.036926$ |
$10536048/5041$ |
$0.80831$ |
$3.36779$ |
$[0, 0, 0, -3132, 28080]$ |
\(y^2=x^3-3132x+28080\) |
2.3.0.a.1, 12.6.0.a.1, 284.6.0.?, 852.12.0.? |
$[(-6, 216)]$ |
| 40896.c2 |
40896e1 |
40896.c |
40896e |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{10} \cdot 3^{9} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$2.182271337$ |
$1$ |
|
$5$ |
$50688$ |
$0.690352$ |
$95551488/71$ |
$0.94845$ |
$3.31433$ |
$[0, 0, 0, -2592, 50760]$ |
\(y^2=x^3-2592x+50760\) |
2.3.0.a.1, 12.6.0.b.1, 284.6.0.?, 426.6.0.?, 852.12.0.? |
$[(34, 44)]$ |
| 40896.d1 |
40896cb1 |
40896.d |
40896cb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{27} \cdot 3^{6} \cdot 71 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$2.845781520$ |
$1$ |
|
$8$ |
$96768$ |
$1.179428$ |
$176558481/36352$ |
$0.90900$ |
$3.58398$ |
$[0, 0, 0, -6732, 170640]$ |
\(y^2=x^3-6732x+170640\) |
568.2.0.? |
$[(-14, 512), (898/3, 18944/3)]$ |
| 40896.e1 |
40896r1 |
40896.e |
40896r |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{6} \cdot 3^{13} \cdot 71^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$64512$ |
$1.231661$ |
$41810827822912/11024667$ |
$0.97050$ |
$3.96606$ |
$[0, 0, 0, -26031, 1616164]$ |
\(y^2=x^3-26031x+1616164\) |
2.3.0.a.1, 12.6.0.a.1, 284.6.0.?, 852.12.0.? |
$[]$ |
| 40896.e2 |
40896r2 |
40896.e |
40896r |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{12} \cdot 3^{20} \cdot 71 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.578236$ |
$-441058644928/339590799$ |
$0.95286$ |
$4.00874$ |
$[0, 0, 0, -22836, 2027680]$ |
\(y^2=x^3-22836x+2027680\) |
2.3.0.a.1, 12.6.0.b.1, 142.6.0.?, 852.12.0.? |
$[]$ |
| 40896.f1 |
40896bc2 |
40896.f |
40896bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{17} \cdot 3^{7} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$2.400853091$ |
$1$ |
|
$5$ |
$40960$ |
$1.043705$ |
$61328594/15123$ |
$0.85584$ |
$3.41912$ |
$[0, 0, 0, -3756, 67120]$ |
\(y^2=x^3-3756x+67120\) |
2.3.0.a.1, 24.6.0.a.1, 284.6.0.?, 1704.12.0.? |
$[(56, 180)]$ |
| 40896.f2 |
40896bc1 |
40896.f |
40896bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{16} \cdot 3^{8} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$1.200426545$ |
$1$ |
|
$5$ |
$20480$ |
$0.697132$ |
$415292/639$ |
$0.78632$ |
$2.93111$ |
$[0, 0, 0, 564, 6640]$ |
\(y^2=x^3+564x+6640\) |
2.3.0.a.1, 24.6.0.d.1, 142.6.0.?, 1704.12.0.? |
$[(8, 108)]$ |
| 40896.g1 |
40896bs2 |
40896.g |
40896bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{23} \cdot 3^{9} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$1.237405468$ |
$1$ |
|
$7$ |
$368640$ |
$2.209602$ |
$10810426566289897/4355424$ |
$1.00268$ |
$5.27251$ |
$[0, 0, 0, -2653356, 1663570640]$ |
\(y^2=x^3-2653356x+1663570640\) |
2.3.0.a.1, 24.6.0.a.1, 284.6.0.?, 1704.12.0.? |
$[(938, 128)]$ |
| 40896.g2 |
40896bs1 |
40896.g |
40896bs |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{28} \cdot 3^{12} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$2.474810936$ |
$1$ |
|
$5$ |
$184320$ |
$1.863028$ |
$-2601311308777/53001216$ |
$0.95743$ |
$4.49109$ |
$[0, 0, 0, -165036, 26256080]$ |
\(y^2=x^3-165036x+26256080\) |
2.3.0.a.1, 24.6.0.d.1, 142.6.0.?, 1704.12.0.? |
$[(16, 4860)]$ |
| 40896.h1 |
40896y1 |
40896.h |
40896y |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{19} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1.063957103$ |
$1$ |
|
$4$ |
$23040$ |
$0.702386$ |
$389017/142$ |
$0.79051$ |
$3.00785$ |
$[0, 0, 0, -876, 6064]$ |
\(y^2=x^3-876x+6064\) |
568.2.0.? |
$[(6, 32)]$ |
| 40896.i1 |
40896z1 |
40896.i |
40896z |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{15} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.865956400$ |
$1$ |
|
$4$ |
$30464$ |
$0.730386$ |
$162771336/71$ |
$0.86287$ |
$3.38049$ |
$[0, 0, 0, -3276, 72144]$ |
\(y^2=x^3-3276x+72144\) |
568.2.0.? |
$[(34, 8)]$ |
| 40896.j1 |
40896x4 |
40896.j |
40896x |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{17} \cdot 3^{8} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1704$ |
$48$ |
$0$ |
$16.30293591$ |
$1$ |
|
$1$ |
$196608$ |
$1.828962$ |
$1094405855968514/639$ |
$0.98839$ |
$4.99155$ |
$[0, 0, 0, -981516, -374277904]$ |
\(y^2=x^3-981516x-374277904\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.2, 24.24.0-8.p.1.8, $\ldots$ |
$[(48143716/205, 18822327264/205)]$ |
| 40896.j2 |
40896x3 |
40896.j |
40896x |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{17} \cdot 3^{8} \cdot 71^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1704$ |
$48$ |
$0$ |
$4.075733977$ |
$1$ |
|
$1$ |
$196608$ |
$1.828962$ |
$475043342114/228705129$ |
$0.97047$ |
$4.26243$ |
$[0, 0, 0, -74316, -3196816]$ |
\(y^2=x^3-74316x-3196816\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.1, 24.24.0-8.k.1.1, $\ldots$ |
$[(-1916/3, 46576/3)]$ |
| 40896.j3 |
40896x2 |
40896.j |
40896x |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{16} \cdot 3^{10} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1704$ |
$48$ |
$0$ |
$8.151467955$ |
$1$ |
|
$3$ |
$98304$ |
$1.482389$ |
$534671911588/408321$ |
$0.93490$ |
$4.20829$ |
$[0, 0, 0, -61356, -5845840]$ |
\(y^2=x^3-61356x-5845840\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.2, 284.12.0.?, $\ldots$ |
$[(17236/5, 2090016/5)]$ |
| 40896.j4 |
40896x1 |
40896.j |
40896x |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{14} \cdot 3^{14} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1704$ |
$48$ |
$0$ |
$4.075733977$ |
$1$ |
|
$3$ |
$49152$ |
$1.135815$ |
$-259108432/465831$ |
$0.87465$ |
$3.49203$ |
$[0, 0, 0, -3036, -130480]$ |
\(y^2=x^3-3036x-130480\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.5, 142.6.0.?, $\ldots$ |
$[(670, 17280)]$ |
| 40896.k1 |
40896bp4 |
40896.k |
40896bp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{17} \cdot 3^{8} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1704$ |
$48$ |
$0$ |
$1.987120259$ |
$1$ |
|
$3$ |
$196608$ |
$1.828962$ |
$1094405855968514/639$ |
$0.98839$ |
$4.99155$ |
$[0, 0, 0, -981516, 374277904]$ |
\(y^2=x^3-981516x+374277904\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 12.12.0-4.c.1.1, 24.24.0-8.p.1.6, $\ldots$ |
$[(722, 6480)]$ |
| 40896.k2 |
40896bp3 |
40896.k |
40896bp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{17} \cdot 3^{8} \cdot 71^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$1704$ |
$48$ |
$0$ |
$7.948481039$ |
$1$ |
|
$1$ |
$196608$ |
$1.828962$ |
$475043342114/228705129$ |
$0.97047$ |
$4.26243$ |
$[0, 0, 0, -74316, 3196816]$ |
\(y^2=x^3-74316x+3196816\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 12.12.0-4.c.1.2, 24.24.0-8.k.1.2, $\ldots$ |
$[(6389/5, 118287/5)]$ |
| 40896.k3 |
40896bp2 |
40896.k |
40896bp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{16} \cdot 3^{10} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$1704$ |
$48$ |
$0$ |
$3.974240519$ |
$1$ |
|
$5$ |
$98304$ |
$1.482389$ |
$534671911588/408321$ |
$0.93490$ |
$4.20829$ |
$[0, 0, 0, -61356, 5845840]$ |
\(y^2=x^3-61356x+5845840\) |
2.6.0.a.1, 8.12.0.a.1, 12.12.0-2.a.1.1, 24.24.0-8.a.1.1, 284.12.0.?, $\ldots$ |
$[(221, 1755)]$ |
| 40896.k4 |
40896bp1 |
40896.k |
40896bp |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{14} \cdot 3^{14} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1704$ |
$48$ |
$0$ |
$1.987120259$ |
$1$ |
|
$5$ |
$49152$ |
$1.135815$ |
$-259108432/465831$ |
$0.87465$ |
$3.49203$ |
$[0, 0, 0, -3036, 130480]$ |
\(y^2=x^3-3036x+130480\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 24.24.0-8.p.1.7, 142.6.0.?, $\ldots$ |
$[(-22, 432)]$ |
| 40896.l1 |
40896bq1 |
40896.l |
40896bq |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{19} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$3.410191065$ |
$1$ |
|
$2$ |
$23040$ |
$0.702386$ |
$389017/142$ |
$0.79051$ |
$3.00785$ |
$[0, 0, 0, -876, -6064]$ |
\(y^2=x^3-876x-6064\) |
568.2.0.? |
$[(-19, 61)]$ |
| 40896.m1 |
40896q1 |
40896.m |
40896q |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{15} \cdot 3^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30464$ |
$0.730386$ |
$162771336/71$ |
$0.86287$ |
$3.38049$ |
$[0, 0, 0, -3276, -72144]$ |
\(y^2=x^3-3276x-72144\) |
568.2.0.? |
$[]$ |
| 40896.n1 |
40896br2 |
40896.n |
40896br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{17} \cdot 3^{7} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$1.009520260$ |
$1$ |
|
$7$ |
$40960$ |
$1.043705$ |
$61328594/15123$ |
$0.85584$ |
$3.41912$ |
$[0, 0, 0, -3756, -67120]$ |
\(y^2=x^3-3756x-67120\) |
2.3.0.a.1, 24.6.0.a.1, 284.6.0.?, 1704.12.0.? |
$[(-38, 144)]$ |
| 40896.n2 |
40896br1 |
40896.n |
40896br |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{16} \cdot 3^{8} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$2.019040520$ |
$1$ |
|
$5$ |
$20480$ |
$0.697132$ |
$415292/639$ |
$0.78632$ |
$2.93111$ |
$[0, 0, 0, 564, -6640]$ |
\(y^2=x^3+564x-6640\) |
2.3.0.a.1, 24.6.0.d.1, 142.6.0.?, 1704.12.0.? |
$[(26, 160)]$ |
| 40896.o1 |
40896bb2 |
40896.o |
40896bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{23} \cdot 3^{9} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$22.18886226$ |
$1$ |
|
$1$ |
$368640$ |
$2.209602$ |
$10810426566289897/4355424$ |
$1.00268$ |
$5.27251$ |
$[0, 0, 0, -2653356, -1663570640]$ |
\(y^2=x^3-2653356x-1663570640\) |
2.3.0.a.1, 24.6.0.a.1, 284.6.0.?, 1704.12.0.? |
$[(20992767224/2303, 2726964191292300/2303)]$ |
| 40896.o2 |
40896bb1 |
40896.o |
40896bb |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{28} \cdot 3^{12} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1704$ |
$12$ |
$0$ |
$11.09443113$ |
$1$ |
|
$1$ |
$184320$ |
$1.863028$ |
$-2601311308777/53001216$ |
$0.95743$ |
$4.49109$ |
$[0, 0, 0, -165036, -26256080]$ |
\(y^2=x^3-165036x-26256080\) |
2.3.0.a.1, 24.6.0.d.1, 142.6.0.?, 1704.12.0.? |
$[(1486328/49, 1227209292/49)]$ |
| 40896.p1 |
40896ba1 |
40896.p |
40896ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{6} \cdot 3^{13} \cdot 71^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$15.55329251$ |
$1$ |
|
$1$ |
$64512$ |
$1.231661$ |
$41810827822912/11024667$ |
$0.97050$ |
$3.96606$ |
$[0, 0, 0, -26031, -1616164]$ |
\(y^2=x^3-26031x-1616164\) |
2.3.0.a.1, 12.6.0.a.1, 284.6.0.?, 852.12.0.? |
$[(11910184/235, 21719679498/235)]$ |
| 40896.p2 |
40896ba2 |
40896.p |
40896ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{12} \cdot 3^{20} \cdot 71 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$852$ |
$12$ |
$0$ |
$7.776646258$ |
$1$ |
|
$1$ |
$129024$ |
$1.578236$ |
$-441058644928/339590799$ |
$0.95286$ |
$4.00874$ |
$[0, 0, 0, -22836, -2027680]$ |
\(y^2=x^3-22836x-2027680\) |
2.3.0.a.1, 12.6.0.b.1, 142.6.0.?, 852.12.0.? |
$[(17854/5, 2324808/5)]$ |
| 40896.q1 |
40896d1 |
40896.q |
40896d |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{21} \cdot 3^{3} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$0.582249792$ |
$1$ |
|
$4$ |
$18432$ |
$0.531359$ |
$804357/568$ |
$1.10672$ |
$2.76588$ |
$[0, 0, 0, 372, -1296]$ |
\(y^2=x^3+372x-1296\) |
1704.2.0.? |
$[(30, 192)]$ |
| 40896.r1 |
40896b1 |
40896.r |
40896b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{15} \cdot 3^{9} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$0.509681621$ |
$1$ |
|
$4$ |
$33792$ |
$1.092426$ |
$-901428696/71$ |
$0.92051$ |
$3.85207$ |
$[0, 0, 0, -17388, 882576]$ |
\(y^2=x^3-17388x+882576\) |
1704.2.0.? |
$[(90, 216)]$ |
| 40896.s1 |
40896c1 |
40896.s |
40896c |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{31} \cdot 3^{9} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$5.898207308$ |
$1$ |
|
$0$ |
$239616$ |
$1.776360$ |
$-42253279587/581632$ |
$1.03829$ |
$4.41243$ |
$[0, 0, 0, -125388, -17291664]$ |
\(y^2=x^3-125388x-17291664\) |
1704.2.0.? |
$[(109470/13, 28919808/13)]$ |
| 40896.t1 |
40896i1 |
40896.t |
40896i |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{15} \cdot 3^{9} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33792$ |
$1.092426$ |
$-901428696/71$ |
$0.92051$ |
$3.85207$ |
$[0, 0, 0, -17388, -882576]$ |
\(y^2=x^3-17388x-882576\) |
1704.2.0.? |
$[]$ |
| 40896.u1 |
40896bj1 |
40896.u |
40896bj |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{31} \cdot 3^{9} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$3.523794508$ |
$1$ |
|
$2$ |
$239616$ |
$1.776360$ |
$-42253279587/581632$ |
$1.03829$ |
$4.41243$ |
$[0, 0, 0, -125388, 17291664]$ |
\(y^2=x^3-125388x+17291664\) |
1704.2.0.? |
$[(384, 5076)]$ |
| 40896.v1 |
40896bk1 |
40896.v |
40896bk |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{21} \cdot 3^{3} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1.817105197$ |
$1$ |
|
$2$ |
$18432$ |
$0.531359$ |
$804357/568$ |
$1.10672$ |
$2.76588$ |
$[0, 0, 0, 372, 1296]$ |
\(y^2=x^3+372x+1296\) |
1704.2.0.? |
$[(0, 36)]$ |
| 40896.w1 |
40896k1 |
40896.w |
40896k |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{15} \cdot 3^{6} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.460853$ |
$125000/71$ |
$0.91993$ |
$2.70511$ |
$[0, 0, 0, -300, 272]$ |
\(y^2=x^3-300x+272\) |
568.2.0.? |
$[]$ |
| 40896.x1 |
40896u2 |
40896.x |
40896u |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{19} \cdot 3^{6} \cdot 71^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1704$ |
$16$ |
$0$ |
$1.591973407$ |
$1$ |
|
$2$ |
$69120$ |
$1.485489$ |
$21601086625/715822$ |
$0.92037$ |
$4.03665$ |
$[0, 0, 0, -33420, 2283248]$ |
\(y^2=x^3-33420x+2283248\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 568.2.0.?, 852.8.0.?, 1704.16.0.? |
$[(8, 1420)]$ |
| 40896.x2 |
40896u1 |
40896.x |
40896u |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{21} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1704$ |
$16$ |
$0$ |
$4.775920223$ |
$1$ |
|
$0$ |
$23040$ |
$0.936183$ |
$57066625/568$ |
$0.85335$ |
$3.47761$ |
$[0, 0, 0, -4620, -119824]$ |
\(y^2=x^3-4620x-119824\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 568.2.0.?, 852.8.0.?, 1704.16.0.? |
$[(-344/3, 820/3)]$ |
| 40896.y1 |
40896bm2 |
40896.y |
40896bm |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{19} \cdot 3^{6} \cdot 71^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1704$ |
$16$ |
$0$ |
$4.363283470$ |
$1$ |
|
$2$ |
$69120$ |
$1.485489$ |
$21601086625/715822$ |
$0.92037$ |
$4.03665$ |
$[0, 0, 0, -33420, -2283248]$ |
\(y^2=x^3-33420x-2283248\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 426.8.0.?, 568.2.0.?, 1704.16.0.? |
$[(642, 15520)]$ |
| 40896.y2 |
40896bm1 |
40896.y |
40896bm |
$2$ |
$3$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{21} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1704$ |
$16$ |
$0$ |
$1.454427823$ |
$1$ |
|
$2$ |
$23040$ |
$0.936183$ |
$57066625/568$ |
$0.85335$ |
$3.47761$ |
$[0, 0, 0, -4620, 119824]$ |
\(y^2=x^3-4620x+119824\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 426.8.0.?, 568.2.0.?, 1704.16.0.? |
$[(66, 320)]$ |
| 40896.z1 |
40896v1 |
40896.z |
40896v |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( 2^{15} \cdot 3^{6} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$2.383387049$ |
$1$ |
|
$2$ |
$19200$ |
$0.460853$ |
$125000/71$ |
$0.91993$ |
$2.70511$ |
$[0, 0, 0, -300, -272]$ |
\(y^2=x^3-300x-272\) |
568.2.0.? |
$[(-12, 40)]$ |
| 40896.ba1 |
40896h1 |
40896.ba |
40896h |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{21} \cdot 3^{9} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.080666$ |
$804357/568$ |
$1.10672$ |
$3.38664$ |
$[0, 0, 0, 3348, 34992]$ |
\(y^2=x^3+3348x+34992\) |
1704.2.0.? |
$[]$ |
| 40896.bb1 |
40896bv2 |
40896.bb |
40896bv |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{19} \cdot 3^{7} \cdot 71^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$8520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$614400$ |
$2.197273$ |
$-1345938541921/10825376106$ |
$0.99840$ |
$4.68017$ |
$[0, 0, 0, -132492, -71647472]$ |
\(y^2=x^3-132492x-71647472\) |
5.12.0.a.2, 120.24.0.?, 710.24.0.?, 1704.2.0.?, 8520.48.1.? |
$[]$ |
| 40896.bb2 |
40896bv1 |
40896.bb |
40896bv |
$2$ |
$5$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{23} \cdot 3^{11} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$8520$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$1.392553$ |
$-887503681/552096$ |
$1.05847$ |
$3.80478$ |
$[0, 0, 0, -11532, 686608]$ |
\(y^2=x^3-11532x+686608\) |
5.12.0.a.1, 120.24.0.?, 710.24.0.?, 1704.2.0.?, 8520.48.1.? |
$[]$ |
| 40896.bc1 |
40896f1 |
40896.bc |
40896f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{15} \cdot 3^{3} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11264$ |
$0.543120$ |
$-901428696/71$ |
$0.92051$ |
$3.23132$ |
$[0, 0, 0, -1932, -32688]$ |
\(y^2=x^3-1932x-32688\) |
1704.2.0.? |
$[]$ |
| 40896.bd1 |
40896g1 |
40896.bd |
40896g |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{31} \cdot 3^{3} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79872$ |
$1.227053$ |
$-42253279587/581632$ |
$1.03829$ |
$3.79167$ |
$[0, 0, 0, -13932, 640432]$ |
\(y^2=x^3-13932x+640432\) |
1704.2.0.? |
$[]$ |
| 40896.be1 |
40896a1 |
40896.be |
40896a |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{15} \cdot 3^{3} \cdot 71 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$0.854845358$ |
$1$ |
|
$4$ |
$11264$ |
$0.543120$ |
$-901428696/71$ |
$0.92051$ |
$3.23132$ |
$[0, 0, 0, -1932, 32688]$ |
\(y^2=x^3-1932x+32688\) |
1704.2.0.? |
$[(24, 12)]$ |
| 40896.bf1 |
40896bg1 |
40896.bf |
40896bg |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{31} \cdot 3^{3} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79872$ |
$1.227053$ |
$-42253279587/581632$ |
$1.03829$ |
$3.79167$ |
$[0, 0, 0, -13932, -640432]$ |
\(y^2=x^3-13932x-640432\) |
1704.2.0.? |
$[]$ |
| 40896.bg1 |
40896bh1 |
40896.bg |
40896bh |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 71 \) |
\( - 2^{21} \cdot 3^{9} \cdot 71 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1704$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.080666$ |
$804357/568$ |
$1.10672$ |
$3.38664$ |
$[0, 0, 0, 3348, -34992]$ |
\(y^2=x^3+3348x-34992\) |
1704.2.0.? |
$[]$ |
