| 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 |
| 3648.a1 |
3648bc1 |
3648.a |
3648bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{16} \cdot 3 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$1.113314158$ |
$1$ |
|
$5$ |
$1280$ |
$-0.008349$ |
$470596/57$ |
$0.94139$ |
$2.94468$ |
$[0, -1, 0, -65, -159]$ |
\(y^2=x^3-x^2-65x-159\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(-5, 4)]$ |
| 3648.a2 |
3648bc2 |
3648.a |
3648bc |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{17} \cdot 3^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$0.556657079$ |
$1$ |
|
$11$ |
$2560$ |
$0.338224$ |
$715822/3249$ |
$0.90786$ |
$3.31482$ |
$[0, -1, 0, 95, -959]$ |
\(y^2=x^3-x^2+95x-959\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(13, 48)]$ |
| 3648.b1 |
3648e1 |
3648.b |
3648e |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{4} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.284195344$ |
$1$ |
|
$2$ |
$768$ |
$0.044550$ |
$-40992251392/1539$ |
$0.96832$ |
$3.48645$ |
$[0, -1, 0, -287, -1779]$ |
\(y^2=x^3-x^2-287x-1779\) |
38.2.0.a.1 |
$[(20, 9)]$ |
| 3648.c1 |
3648v3 |
3648.c |
3648v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{23} \cdot 3^{3} \cdot 19 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$46080$ |
$2.141159$ |
$74220219816682217473/16416$ |
$1.10905$ |
$7.09957$ |
$[0, -1, 0, -5603329, 5107121569]$ |
\(y^2=x^3-x^2-5603329x+5107121569\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 456.48.0.? |
$[]$ |
| 3648.c2 |
3648v2 |
3648.c |
3648v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{28} \cdot 3^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$23040$ |
$1.794586$ |
$18120364883707393/269485056$ |
$1.09068$ |
$6.08545$ |
$[0, -1, 0, -350209, 79885729]$ |
\(y^2=x^3-x^2-350209x+79885729\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 228.24.0.?, 456.48.0.? |
$[]$ |
| 3648.c3 |
3648v4 |
3648.c |
3648v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{23} \cdot 3^{12} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$2.141159$ |
$-16576888679672833/2216253521952$ |
$1.04427$ |
$6.09994$ |
$[0, -1, 0, -339969, 84766113]$ |
\(y^2=x^3-x^2-339969x+84766113\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 456.48.0.? |
$[]$ |
| 3648.c4 |
3648v1 |
3648.c |
3648v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{38} \cdot 3^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$1.448013$ |
$4824238966273/537919488$ |
$1.00823$ |
$5.08189$ |
$[0, -1, 0, -22529, 1176993]$ |
\(y^2=x^3-x^2-22529x+1176993\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 114.6.0.?, 228.12.0.?, $\ldots$ |
$[]$ |
| 3648.d1 |
3648i3 |
3648.d |
3648i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{17} \cdot 3^{3} \cdot 19^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$1.012775$ |
$111223479026/3518667$ |
$0.97692$ |
$4.53775$ |
$[0, -1, 0, -5089, 137569]$ |
\(y^2=x^3-x^2-5089x+137569\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.s.1.2, 152.24.0.?, 456.48.0.? |
$[]$ |
| 3648.d2 |
3648i2 |
3648.d |
3648i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{16} \cdot 3^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.666203$ |
$768400132/263169$ |
$0.94504$ |
$3.84668$ |
$[0, -1, 0, -769, -4991]$ |
\(y^2=x^3-x^2-769x-4991\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.1, 152.24.0.?, 228.24.0.?, $\ldots$ |
$[]$ |
| 3648.d3 |
3648i1 |
3648.d |
3648i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{14} \cdot 3^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.319629$ |
$2211014608/513$ |
$0.92081$ |
$3.80651$ |
$[0, -1, 0, -689, -6735]$ |
\(y^2=x^3-x^2-689x-6735\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.14, 114.6.0.?, $\ldots$ |
$[]$ |
| 3648.d4 |
3648i4 |
3648.d |
3648i |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$1.012775$ |
$9878111854/10097379$ |
$0.98646$ |
$4.24255$ |
$[0, -1, 0, 2271, -37215]$ |
\(y^2=x^3-x^2+2271x-37215\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.y.1.12, 152.24.0.?, 456.48.0.? |
$[]$ |
| 3648.e1 |
3648u2 |
3648.e |
3648u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{14} \cdot 3^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.369129$ |
$340062928/13851$ |
$0.89938$ |
$3.57827$ |
$[0, -1, 0, -369, -2511]$ |
\(y^2=x^3-x^2-369x-2511\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 3648.e2 |
3648u1 |
3648.e |
3648u |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.022556$ |
$131072/9747$ |
$1.13743$ |
$2.87287$ |
$[0, -1, 0, 11, -155]$ |
\(y^2=x^3-x^2+11x-155\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 3648.f1 |
3648w1 |
3648.f |
3648w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$448$ |
$-0.391164$ |
$24897088/171$ |
$0.91480$ |
$2.58343$ |
$[0, -1, 0, -24, 54]$ |
\(y^2=x^3-x^2-24x+54\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 3648.f2 |
3648w2 |
3648.f |
3648w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$896$ |
$-0.044591$ |
$-21952/1083$ |
$0.98580$ |
$2.77637$ |
$[0, -1, 0, -9, 105]$ |
\(y^2=x^3-x^2-9x+105\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 3648.g1 |
3648ba1 |
3648.g |
3648ba |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{14} \cdot 3^{2} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.583558816$ |
$1$ |
|
$4$ |
$1536$ |
$0.415378$ |
$70575104/61731$ |
$0.95058$ |
$3.38655$ |
$[0, -1, 0, 219, -963]$ |
\(y^2=x^3-x^2+219x-963\) |
38.2.0.a.1 |
$[(12, 57)]$ |
| 3648.h1 |
3648f2 |
3648.h |
3648f |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{2} \cdot 19^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4800$ |
$0.997981$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$4.99077$ |
$[0, -1, 0, -17561, -889893]$ |
\(y^2=x^3-x^2-17561x-889893\) |
5.12.0.a.2, 38.2.0.a.1, 40.24.0-5.a.2.3, 190.24.1.?, 760.48.1.? |
$[]$ |
| 3648.h2 |
3648f1 |
3648.h |
3648f |
$2$ |
$5$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$0.193262$ |
$841232384/1121931$ |
$1.00490$ |
$3.04503$ |
$[0, -1, 0, 79, -333]$ |
\(y^2=x^3-x^2+79x-333\) |
5.12.0.a.1, 38.2.0.a.1, 40.24.0-5.a.1.3, 190.24.1.?, 760.48.1.? |
$[]$ |
| 3648.i1 |
3648b3 |
3648.i |
3648b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{20} \cdot 3 \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$7.399886169$ |
$1$ |
|
$1$ |
$6912$ |
$1.145224$ |
$8671983378625/82308$ |
$1.00775$ |
$5.15339$ |
$[0, -1, 0, -27393, -1735935]$ |
\(y^2=x^3-x^2-27393x-1735935\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.8, $\ldots$ |
$[(13841/7, 1235968/7)]$ |
| 3648.i2 |
3648b4 |
3648.i |
3648b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{19} \cdot 3^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$3.699943084$ |
$1$ |
|
$3$ |
$13824$ |
$1.491796$ |
$-8078253774625/846825858$ |
$1.01015$ |
$5.16504$ |
$[0, -1, 0, -26753, -1821567]$ |
\(y^2=x^3-x^2-26753x-1821567\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.4, $\ldots$ |
$[(289, 3808)]$ |
| 3648.i3 |
3648b1 |
3648.i |
3648b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{24} \cdot 3^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$2.466628723$ |
$1$ |
|
$5$ |
$2304$ |
$0.595917$ |
$57066625/32832$ |
$1.04766$ |
$3.69869$ |
$[0, -1, 0, -513, 513]$ |
\(y^2=x^3-x^2-513x+513\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.2, $\ldots$ |
$[(-1, 32)]$ |
| 3648.i4 |
3648b2 |
3648.i |
3648b |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{21} \cdot 3^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$456$ |
$96$ |
$1$ |
$1.233314361$ |
$1$ |
|
$7$ |
$4608$ |
$0.942491$ |
$3616805375/2105352$ |
$1.07346$ |
$4.20456$ |
$[0, -1, 0, 2047, 2049]$ |
\(y^2=x^3-x^2+2047x+2049\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.10, $\ldots$ |
$[(1, 64)]$ |
| 3648.j1 |
3648y1 |
3648.j |
3648y |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{20} \cdot 3^{5} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$2.080881992$ |
$1$ |
|
$5$ |
$3840$ |
$0.859030$ |
$96386901625/18468$ |
$0.97983$ |
$4.60480$ |
$[0, -1, 0, -6113, 185985]$ |
\(y^2=x^3-x^2-6113x+185985\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(43, 28)]$ |
| 3648.j2 |
3648y2 |
3648.j |
3648y |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{19} \cdot 3^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$1.040440996$ |
$1$ |
|
$7$ |
$7680$ |
$1.205605$ |
$-69173457625/42633378$ |
$0.99175$ |
$4.65276$ |
$[0, -1, 0, -5473, 225793]$ |
\(y^2=x^3-x^2-5473x+225793\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(-51, 608)]$ |
| 3648.k1 |
3648a1 |
3648.k |
3648a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{12} \cdot 3 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$0.959668299$ |
$1$ |
|
$5$ |
$384$ |
$-0.125706$ |
$10648000/57$ |
$0.85525$ |
$2.98694$ |
$[0, -1, 0, -73, 265]$ |
\(y^2=x^3-x^2-73x+265\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(3, 8)]$ |
| 3648.k2 |
3648a2 |
3648.k |
3648a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{15} \cdot 3^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$0.479834149$ |
$1$ |
|
$7$ |
$768$ |
$0.220868$ |
$-125000/3249$ |
$1.26138$ |
$3.16511$ |
$[0, -1, 0, -33, 513]$ |
\(y^2=x^3-x^2-33x+513\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(-3, 24)]$ |
| 3648.l1 |
3648c1 |
3648.l |
3648c |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{8} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.196950945$ |
$1$ |
|
$2$ |
$1536$ |
$0.520369$ |
$-91368216064/45001899$ |
$0.98987$ |
$3.65924$ |
$[0, -1, 0, -375, 3933]$ |
\(y^2=x^3-x^2-375x+3933\) |
38.2.0.a.1 |
$[(-12, 81)]$ |
| 3648.m1 |
3648z1 |
3648.m |
3648z |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{4} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.680980560$ |
$1$ |
|
$2$ |
$256$ |
$-0.360548$ |
$175616/1539$ |
$0.88880$ |
$2.30240$ |
$[0, -1, 0, 5, 13]$ |
\(y^2=x^3-x^2+5x+13\) |
38.2.0.a.1 |
$[(4, 9)]$ |
| 3648.n1 |
3648h3 |
3648.n |
3648h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{15} \cdot 3^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$152$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.710164$ |
$1311494070536/171$ |
$0.98353$ |
$4.66956$ |
$[0, -1, 0, -7297, -237503]$ |
\(y^2=x^3-x^2-7297x-237503\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 152.48.0.? |
$[]$ |
| 3648.n2 |
3648h2 |
3648.n |
3648h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{12} \cdot 3^{4} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$152$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.363590$ |
$2582630848/29241$ |
$1.18849$ |
$3.65644$ |
$[0, -1, 0, -457, -3575]$ |
\(y^2=x^3-x^2-457x-3575\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 76.24.0.?, 152.48.0.? |
$[]$ |
| 3648.n3 |
3648h4 |
3648.n |
3648h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{15} \cdot 3^{2} \cdot 19^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$152$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.710164$ |
$-3112136/1172889$ |
$1.03471$ |
$3.88060$ |
$[0, -1, 0, -97, -9407]$ |
\(y^2=x^3-x^2-97x-9407\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 152.48.0.? |
$[]$ |
| 3648.n4 |
3648h1 |
3648.n |
3648h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{6} \cdot 3^{8} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$152$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.017017$ |
$247673152/124659$ |
$0.96835$ |
$2.86353$ |
$[0, -1, 0, -52, 70]$ |
\(y^2=x^3-x^2-52x+70\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 76.12.0.?, 152.48.0.? |
$[]$ |
| 3648.o1 |
3648g3 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3^{4} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.794712$ |
$115714886617/1539$ |
$0.98111$ |
$4.62708$ |
$[0, -1, 0, -6497, 203745]$ |
\(y^2=x^3-x^2-6497x+203745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 76.12.0.?, $\ldots$ |
$[]$ |
| 3648.o2 |
3648g2 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.448139$ |
$30664297/3249$ |
$0.90727$ |
$3.62296$ |
$[0, -1, 0, -417, 3105]$ |
\(y^2=x^3-x^2-417x+3105\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 76.12.0.?, $\ldots$ |
$[]$ |
| 3648.o3 |
3648g1 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{18} \cdot 3 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.101565$ |
$389017/57$ |
$0.96267$ |
$3.09049$ |
$[0, -1, 0, -97, -287]$ |
\(y^2=x^3-x^2-97x-287\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 114.6.0.?, $\ldots$ |
$[]$ |
| 3648.o4 |
3648g4 |
3648.o |
3648g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{18} \cdot 3 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.794712$ |
$67419143/390963$ |
$0.97474$ |
$3.98718$ |
$[0, -1, 0, 543, 14433]$ |
\(y^2=x^3-x^2+543x+14433\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 3648.p1 |
3648d1 |
3648.p |
3648d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{14} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.992248281$ |
$1$ |
|
$2$ |
$1536$ |
$0.329896$ |
$-81415168/13851$ |
$0.91437$ |
$3.43539$ |
$[0, -1, 0, -229, 1597]$ |
\(y^2=x^3-x^2-229x+1597\) |
38.2.0.a.1 |
$[(4, 27)]$ |
| 3648.q1 |
3648bb1 |
3648.q |
3648bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{14} \cdot 3^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.399747014$ |
$1$ |
|
$2$ |
$768$ |
$-0.082532$ |
$8192/171$ |
$0.94370$ |
$2.71550$ |
$[0, -1, 0, 11, -83]$ |
\(y^2=x^3-x^2+11x-83\) |
38.2.0.a.1 |
$[(4, 3)]$ |
| 3648.r1 |
3648x1 |
3648.r |
3648x |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$320$ |
$-0.489975$ |
$-1404928/171$ |
$0.86512$ |
$2.25621$ |
$[0, -1, 0, -9, -9]$ |
\(y^2=x^3-x^2-9x-9\) |
38.2.0.a.1 |
$[]$ |
| 3648.s1 |
3648n1 |
3648.s |
3648n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{16} \cdot 3 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1280$ |
$-0.008349$ |
$470596/57$ |
$0.94139$ |
$2.94468$ |
$[0, 1, 0, -65, 159]$ |
\(y^2=x^3+x^2-65x+159\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[]$ |
| 3648.s2 |
3648n2 |
3648.s |
3648n |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{17} \cdot 3^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2560$ |
$0.338224$ |
$715822/3249$ |
$0.90786$ |
$3.31482$ |
$[0, 1, 0, 95, 959]$ |
\(y^2=x^3+x^2+95x+959\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[]$ |
| 3648.t1 |
3648t1 |
3648.t |
3648t |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{6} \cdot 3^{4} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.265066668$ |
$1$ |
|
$4$ |
$768$ |
$0.044550$ |
$-40992251392/1539$ |
$0.96832$ |
$3.48645$ |
$[0, 1, 0, -287, 1779]$ |
\(y^2=x^3+x^2-287x+1779\) |
38.2.0.a.1 |
$[(10, 3)]$ |
| 3648.u1 |
3648bi1 |
3648.u |
3648bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{6} \cdot 3^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$448$ |
$-0.391164$ |
$24897088/171$ |
$0.91480$ |
$2.58343$ |
$[0, 1, 0, -24, -54]$ |
\(y^2=x^3+x^2-24x-54\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 3648.u2 |
3648bi2 |
3648.u |
3648bi |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{12} \cdot 3 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$896$ |
$-0.044591$ |
$-21952/1083$ |
$0.98580$ |
$2.77637$ |
$[0, 1, 0, -9, -105]$ |
\(y^2=x^3+x^2-9x-105\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
| 3648.v1 |
3648q2 |
3648.v |
3648q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{14} \cdot 3^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.352782881$ |
$1$ |
|
$11$ |
$1152$ |
$0.369129$ |
$340062928/13851$ |
$0.89938$ |
$3.57827$ |
$[0, 1, 0, -369, 2511]$ |
\(y^2=x^3+x^2-369x+2511\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(-9, 72)]$ |
| 3648.v2 |
3648q1 |
3648.v |
3648q |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.705565763$ |
$1$ |
|
$5$ |
$576$ |
$0.022556$ |
$131072/9747$ |
$1.13743$ |
$2.87287$ |
$[0, 1, 0, 11, 155]$ |
\(y^2=x^3+x^2+11x+155\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(-1, 12)]$ |
| 3648.w1 |
3648bg3 |
3648.w |
3648bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{17} \cdot 3^{3} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$2.196137696$ |
$1$ |
|
$5$ |
$3072$ |
$1.012775$ |
$111223479026/3518667$ |
$0.97692$ |
$4.53775$ |
$[0, 1, 0, -5089, -137569]$ |
\(y^2=x^3+x^2-5089x-137569\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 152.24.0.?, 456.48.0.? |
$[(-43, 60)]$ |
| 3648.w2 |
3648bg2 |
3648.w |
3648bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{16} \cdot 3^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$456$ |
$48$ |
$0$ |
$1.098068848$ |
$1$ |
|
$11$ |
$1536$ |
$0.666203$ |
$768400132/263169$ |
$0.94504$ |
$3.84668$ |
$[0, 1, 0, -769, 4991]$ |
\(y^2=x^3+x^2-769x+4991\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 152.24.0.?, 228.24.0.?, $\ldots$ |
$[(5, 36)]$ |
| 3648.w3 |
3648bg1 |
3648.w |
3648bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( 2^{14} \cdot 3^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$0.549034424$ |
$1$ |
|
$7$ |
$768$ |
$0.319629$ |
$2211014608/513$ |
$0.92081$ |
$3.80651$ |
$[0, 1, 0, -689, 6735]$ |
\(y^2=x^3+x^2-689x+6735\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 114.6.0.?, $\ldots$ |
$[(7, 48)]$ |
| 3648.w4 |
3648bg4 |
3648.w |
3648bg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 19 \) |
\( - 2^{17} \cdot 3^{12} \cdot 19 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$2.196137696$ |
$1$ |
|
$9$ |
$3072$ |
$1.012775$ |
$9878111854/10097379$ |
$0.98646$ |
$4.24255$ |
$[0, 1, 0, 2271, 37215]$ |
\(y^2=x^3+x^2+2271x+37215\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 152.24.0.?, 456.48.0.? |
$[(-6, 153)]$ |
