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 |
24882.a1 |
24882d1 |
24882.a |
24882d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{20} \cdot 11 \cdot 13 \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8294$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$731520$ |
$2.122272$ |
$1297925011229054249159/778278618886811328$ |
$1.02714$ |
$4.80296$ |
$[1, 1, 0, 227253, 8024445]$ |
\(y^2+xy=x^3+x^2+227253x+8024445\) |
8294.2.0.? |
$[]$ |
24882.b1 |
24882j4 |
24882.b |
24882j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{32} \cdot 11^{4} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$3016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18350080$ |
$3.970856$ |
$48217388775148129472035202597977/997806266020361242131115572$ |
$1.02899$ |
$7.20747$ |
$[1, 1, 0, -758274861, 7891571471481]$ |
\(y^2+xy=x^3+x^2-758274861x+7891571471481\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 26.6.0.b.1, 52.24.0-52.g.1.1, 232.24.0.?, $\ldots$ |
$[]$ |
24882.b2 |
24882j2 |
24882.b |
24882j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{4} \cdot 3^{16} \cdot 11^{8} \cdot 13^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$1508$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$9175040$ |
$3.624283$ |
$47494851393481427423717280072217/20983804907895336942864$ |
$1.02869$ |
$7.20598$ |
$[1, 1, 0, -754468201, 7976130332725]$ |
\(y^2+xy=x^3+x^2-754468201x+7976130332725\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 52.24.0-52.b.1.2, 116.24.0.?, 1508.48.0.? |
$[]$ |
24882.b3 |
24882j1 |
24882.b |
24882j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{4} \cdot 13 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$3016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4587520$ |
$3.277710$ |
$47494836285140078125125156832537/9270904211712$ |
$1.02869$ |
$7.20598$ |
$[1, 1, 0, -754468121, 7976132108901]$ |
\(y^2+xy=x^3+x^2-754468121x+7976132108901\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.2, 104.24.0.?, $\ldots$ |
$[]$ |
24882.b4 |
24882j3 |
24882.b |
24882j |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{2} \cdot 3^{8} \cdot 11^{16} \cdot 13^{4} \cdot 29 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$3016$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$18350080$ |
$3.970856$ |
$-46779807755660187695380243787737/998813488693913841955545396$ |
$1.02891$ |
$7.20806$ |
$[1, 1, 0, -750662821, 8060575520305]$ |
\(y^2+xy=x^3+x^2-750662821x+8060575520305\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 104.24.0.?, 116.24.0.?, 3016.48.0.? |
$[]$ |
24882.c1 |
24882g4 |
24882.c |
24882g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{4} \cdot 11 \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$1.576284924$ |
$1$ |
|
$2$ |
$159744$ |
$1.734901$ |
$168241156610234677286617/17467164$ |
$0.97790$ |
$5.28356$ |
$[1, 1, 0, -1150101, 474257025]$ |
\(y^2+xy=x^3+x^2-1150101x+474257025\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 44.12.0-4.c.1.1, 116.12.0.?, $\ldots$ |
$[(639, 558)]$ |
24882.c2 |
24882g2 |
24882.c |
24882g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$3828$ |
$48$ |
$0$ |
$0.788142462$ |
$1$ |
|
$12$ |
$79872$ |
$1.388327$ |
$41074802461509814297/418521012624$ |
$0.98583$ |
$4.46180$ |
$[1, 1, 0, -71881, 7387765]$ |
\(y^2+xy=x^3+x^2-71881x+7387765\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 44.12.0-2.a.1.1, 116.12.0.?, 132.24.0.?, $\ldots$ |
$[(158, -1)]$ |
24882.c3 |
24882g3 |
24882.c |
24882g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{2} \cdot 3 \cdot 11^{4} \cdot 13^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$0.394071231$ |
$1$ |
|
$10$ |
$159744$ |
$1.734901$ |
$-38163592211939879257/4156203493184028$ |
$0.94724$ |
$4.47158$ |
$[1, 1, 0, -70141, 7764649]$ |
\(y^2+xy=x^3+x^2-70141x+7764649\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 88.12.0.?, 116.12.0.?, $\ldots$ |
$[(84, 1531)]$ |
24882.c4 |
24882g1 |
24882.c |
24882g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{8} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$7656$ |
$48$ |
$0$ |
$1.576284924$ |
$1$ |
|
$3$ |
$39936$ |
$1.041754$ |
$10775263270478617/1009793571072$ |
$0.95019$ |
$3.64714$ |
$[1, 1, 0, -4601, 108069]$ |
\(y^2+xy=x^3+x^2-4601x+108069\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 44.12.0-4.c.1.2, 66.6.0.a.1, $\ldots$ |
$[(66, 279)]$ |
24882.d1 |
24882e1 |
24882.d |
24882e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$0.290751594$ |
$1$ |
|
$2$ |
$57024$ |
$1.180117$ |
$-22326882463851405049/251109144$ |
$0.94293$ |
$4.40158$ |
$[1, 1, 0, -58663, 5444461]$ |
\(y^2+xy=x^3+x^2-58663x+5444461\) |
33176.2.0.? |
$[(133, 64)]$ |
24882.e1 |
24882a2 |
24882.e |
24882a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{10} \cdot 11^{2} \cdot 13 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4524$ |
$12$ |
$0$ |
$2.645611024$ |
$1$ |
|
$2$ |
$71680$ |
$1.254505$ |
$4124520340578627625/312462035028$ |
$0.93504$ |
$4.23473$ |
$[1, 1, 0, -33410, -2364336]$ |
\(y^2+xy=x^3+x^2-33410x-2364336\) |
2.3.0.a.1, 26.6.0.b.1, 348.6.0.?, 4524.12.0.? |
$[(250, 2108)]$ |
24882.e2 |
24882a1 |
24882.e |
24882a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{4} \cdot 3^{5} \cdot 11^{4} \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4524$ |
$12$ |
$0$ |
$5.291222048$ |
$1$ |
|
$3$ |
$35840$ |
$0.907931$ |
$-820683103515625/278985543408$ |
$0.97347$ |
$3.43841$ |
$[1, 1, 0, -1950, -42588]$ |
\(y^2+xy=x^3+x^2-1950x-42588\) |
2.3.0.a.1, 52.6.0.c.1, 174.6.0.?, 4524.12.0.? |
$[(689, 17719)]$ |
24882.f1 |
24882b1 |
24882.f |
24882b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{10} \cdot 3^{4} \cdot 11 \cdot 13^{5} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8294$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80000$ |
$1.176842$ |
$3972463208984375/9824091982848$ |
$0.99847$ |
$3.66571$ |
$[1, 1, 0, 3300, -130608]$ |
\(y^2+xy=x^3+x^2+3300x-130608\) |
8294.2.0.? |
$[]$ |
24882.g1 |
24882c1 |
24882.g |
24882c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{9} \cdot 3^{4} \cdot 11^{5} \cdot 13^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$1.558918$ |
$-6349311810814878361/425545948878336$ |
$0.93836$ |
$4.28817$ |
$[1, 1, 0, -38577, -3096747]$ |
\(y^2+xy=x^3+x^2-38577x-3096747\) |
33176.2.0.? |
$[]$ |
24882.h1 |
24882f1 |
24882.h |
24882f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{25} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$6.398512661$ |
$1$ |
|
$0$ |
$46400$ |
$1.058338$ |
$-11101655536840441/1252352065536$ |
$0.90548$ |
$3.66769$ |
$[1, 1, 0, -4647, -135243]$ |
\(y^2+xy=x^3+x^2-4647x-135243\) |
33176.2.0.? |
$[(879/2, 23799/2)]$ |
24882.i1 |
24882i4 |
24882.i |
24882i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{8} \cdot 3 \cdot 11^{8} \cdot 13^{4} \cdot 29^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1048576$ |
$2.496326$ |
$4726547366169309395080393/3954322686107659008$ |
$0.98865$ |
$5.61310$ |
$[1, 1, 0, -3496284, 2512999632]$ |
\(y^2+xy=x^3+x^2-3496284x+2512999632\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[]$ |
24882.i2 |
24882i3 |
24882.i |
24882i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{8} \cdot 3^{4} \cdot 11^{2} \cdot 13 \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1048576$ |
$2.496326$ |
$1311266087944014056584393/16316901430937572608$ |
$0.98483$ |
$5.48642$ |
$[1, 1, 0, -2280284, -1311976752]$ |
\(y^2+xy=x^3+x^2-2280284x-1311976752\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 26.6.0.b.1, 52.24.0-52.g.1.1, $\ldots$ |
$[]$ |
24882.i3 |
24882i2 |
24882.i |
24882i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{4} \cdot 13^{2} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$524288$ |
$2.149754$ |
$2101350905468349310153/1032219066698366976$ |
$1.01269$ |
$4.85056$ |
$[1, 1, 0, -266844, 20517840]$ |
\(y^2+xy=x^3+x^2-266844x+20517840\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.2, 156.48.0.? |
$[]$ |
24882.i4 |
24882i1 |
24882.i |
24882i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{32} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$262144$ |
$1.803179$ |
$24899722750535932727/17045346513321984$ |
$0.99885$ |
$4.41235$ |
$[1, 1, 0, 60836, 2495440]$ |
\(y^2+xy=x^3+x^2+60836x+2495440\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[]$ |
24882.j1 |
24882k1 |
24882.j |
24882k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{7} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$-0.039013$ |
$-30664297/4777344$ |
$0.83695$ |
$2.25628$ |
$[1, 1, 0, -6, -108]$ |
\(y^2+xy=x^3+x^2-6x-108\) |
33176.2.0.? |
$[]$ |
24882.k1 |
24882h2 |
24882.k |
24882h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{16} \cdot 11^{5} \cdot 13^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$33176$ |
$12$ |
$0$ |
$2.866145224$ |
$1$ |
|
$2$ |
$1259520$ |
$2.376587$ |
$612643817473977455499529/1970680400816616918$ |
$1.10661$ |
$5.41124$ |
$[1, 1, 0, -1769408, -904136910]$ |
\(y^2+xy=x^3+x^2-1769408x-904136910\) |
2.3.0.a.1, 88.6.0.?, 1508.6.0.?, 33176.12.0.? |
$[(1555, 9590)]$ |
24882.k2 |
24882h1 |
24882.k |
24882h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{8} \cdot 11^{10} \cdot 13 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$33176$ |
$12$ |
$0$ |
$1.433072612$ |
$1$ |
|
$5$ |
$629760$ |
$2.030014$ |
$443693713490687867689/256624567753198788$ |
$1.11710$ |
$4.69691$ |
$[1, 1, 0, -158898, -640800]$ |
\(y^2+xy=x^3+x^2-158898x-640800\) |
2.3.0.a.1, 88.6.0.?, 754.6.0.?, 33176.12.0.? |
$[(-150, 4530)]$ |
24882.l1 |
24882n1 |
24882.l |
24882n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{11} \cdot 3^{16} \cdot 11 \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$0.778793828$ |
$1$ |
|
$4$ |
$118272$ |
$1.483629$ |
$605545121746614167/365598212069376$ |
$0.96050$ |
$4.04518$ |
$[1, 0, 1, 17625, 188842]$ |
\(y^2+xy+y=x^3+17625x+188842\) |
33176.2.0.? |
$[(50, 1068)]$ |
24882.m1 |
24882r1 |
24882.m |
24882r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{11} \cdot 3^{10} \cdot 11 \cdot 13^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$158400$ |
$1.580643$ |
$-66405376701432086473/84754592372736$ |
$0.94780$ |
$4.50948$ |
$[1, 0, 1, -84365, -9449080]$ |
\(y^2+xy+y=x^3-84365x-9449080\) |
33176.2.0.? |
$[]$ |
24882.n1 |
24882s4 |
24882.n |
24882s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{21} \cdot 3^{4} \cdot 11 \cdot 13^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$99528$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3483648$ |
$3.188091$ |
$206260974611041626418612353625/187837502409374957568$ |
$1.01699$ |
$6.66860$ |
$[1, 0, 1, -123092366, -525657570496]$ |
\(y^2+xy+y=x^3-123092366x-525657570496\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 264.48.0.?, $\ldots$ |
$[]$ |
24882.n2 |
24882s3 |
24882.n |
24882s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{42} \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$99528$ |
$96$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1741824$ |
$2.841518$ |
$51459033262122560686209625/1518535830178828910592$ |
$0.99615$ |
$5.84898$ |
$[1, 0, 1, -7749006, -8088845504]$ |
\(y^2+xy+y=x^3-7749006x-8088845504\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 88.6.0.?, 264.48.0.?, $\ldots$ |
$[]$ |
24882.n3 |
24882s2 |
24882.n |
24882s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 3^{12} \cdot 11^{3} \cdot 13^{6} \cdot 29^{2} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$99528$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$1161216$ |
$2.638786$ |
$730482939902774346171625/367535413465391014272$ |
$1.00098$ |
$5.42862$ |
$[1, 0, 1, -1876271, -357609310]$ |
\(y^2+xy+y=x^3-1876271x-357609310\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 264.48.0.?, $\ldots$ |
$[]$ |
24882.n4 |
24882s1 |
24882.n |
24882s |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{6} \cdot 11^{6} \cdot 13^{3} \cdot 29 \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$99528$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$580608$ |
$2.292213$ |
$118897093683423637179625/1348129566046568448$ |
$0.97690$ |
$5.24927$ |
$[1, 0, 1, -1024431, 395076514]$ |
\(y^2+xy+y=x^3-1024431x+395076514\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 88.6.0.?, 264.48.0.?, $\ldots$ |
$[]$ |
24882.o1 |
24882l2 |
24882.o |
24882l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 3^{8} \cdot 11^{5} \cdot 13^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$33176$ |
$12$ |
$0$ |
$2.710978926$ |
$1$ |
|
$4$ |
$1505280$ |
$2.982746$ |
$146976405290167377871625577625/19223219882984832$ |
$1.01621$ |
$6.63512$ |
$[1, 0, 1, -109944786, 443711924836]$ |
\(y^2+xy+y=x^3-109944786x+443711924836\) |
2.3.0.a.1, 88.6.0.?, 1508.6.0.?, 33176.12.0.? |
$[(6044, -4329)]$ |
24882.o2 |
24882l1 |
24882.o |
24882l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{4} \cdot 11^{10} \cdot 13 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$33176$ |
$12$ |
$0$ |
$5.421957852$ |
$1$ |
|
$3$ |
$752640$ |
$2.636173$ |
$35892255782306925052521625/12976965796507435008$ |
$0.99468$ |
$5.81339$ |
$[1, 0, 1, -6872146, 6931305572]$ |
\(y^2+xy+y=x^3-6872146x+6931305572\) |
2.3.0.a.1, 88.6.0.?, 754.6.0.?, 33176.12.0.? |
$[(1462, 2384)]$ |
24882.p1 |
24882q2 |
24882.p |
24882q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13^{3} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4524$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$700416$ |
$2.461349$ |
$1290999343784786961364509625/32193924048$ |
$1.00454$ |
$6.16734$ |
$[1, 0, 1, -22684756, 41584312514]$ |
\(y^2+xy+y=x^3-22684756x+41584312514\) |
2.3.0.a.1, 26.6.0.b.1, 348.6.0.?, 4524.12.0.? |
$[]$ |
24882.p2 |
24882q1 |
24882.p |
24882q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{8} \cdot 3 \cdot 11^{4} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$4524$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$350208$ |
$2.114777$ |
$-315184253425989830781625/1573946884992768$ |
$0.98000$ |
$5.34558$ |
$[1, 0, 1, -1417796, 649667906]$ |
\(y^2+xy+y=x^3-1417796x+649667906\) |
2.3.0.a.1, 52.6.0.c.1, 174.6.0.?, 4524.12.0.? |
$[]$ |
24882.q1 |
24882p2 |
24882.q |
24882p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{2} \cdot 11^{3} \cdot 13^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$2.038361$ |
$596680802837154843625/262974330114189408$ |
$0.97093$ |
$4.72618$ |
$[1, 0, 1, -175391, 13790162]$ |
\(y^2+xy+y=x^3-175391x+13790162\) |
2.3.0.a.1, 88.6.0.?, 348.6.0.?, 7656.12.0.? |
$[]$ |
24882.q2 |
24882p1 |
24882.q |
24882p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{10} \cdot 3 \cdot 11^{6} \cdot 13^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$138240$ |
$1.691788$ |
$5864476297107620375/4507634865896448$ |
$0.95440$ |
$4.26950$ |
$[1, 0, 1, 37569, 1608850]$ |
\(y^2+xy+y=x^3+37569x+1608850\) |
2.3.0.a.1, 88.6.0.?, 174.6.0.?, 7656.12.0.? |
$[]$ |
24882.r1 |
24882v1 |
24882.r |
24882v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{6} \cdot 11^{3} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$0.332655294$ |
$1$ |
|
$6$ |
$13248$ |
$0.383540$ |
$179310732119/731605446$ |
$0.85436$ |
$2.73788$ |
$[1, 0, 1, 117, -1196]$ |
\(y^2+xy+y=x^3+117x-1196\) |
33176.2.0.? |
$[(8, 12)]$ |
24882.s1 |
24882m1 |
24882.s |
24882m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{13} \cdot 3^{4} \cdot 11^{3} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$3.309356319$ |
$1$ |
|
$2$ |
$49920$ |
$0.893480$ |
$-37370253593737/332961767424$ |
$0.90643$ |
$3.36389$ |
$[1, 0, 1, -697, -28708]$ |
\(y^2+xy+y=x^3-697x-28708\) |
33176.2.0.? |
$[(40, 68)]$ |
24882.t1 |
24882o2 |
24882.t |
24882o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{21} \cdot 3^{2} \cdot 11^{3} \cdot 13^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$99528$ |
$16$ |
$0$ |
$21.34412908$ |
$1$ |
|
$0$ |
$1306368$ |
$2.586636$ |
$-53308743558799758349124377/1346091322089406464$ |
$0.99582$ |
$5.85248$ |
$[1, 0, 1, -7840762, -8451397588]$ |
\(y^2+xy+y=x^3-7840762x-8451397588\) |
3.8.0-3.a.1.1, 33176.2.0.?, 99528.16.0.? |
$[(11980220629/1900, 301405237623083/1900)]$ |
24882.t2 |
24882o1 |
24882.t |
24882o |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{7} \cdot 3^{6} \cdot 11 \cdot 13^{9} \cdot 29 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$99528$ |
$16$ |
$0$ |
$7.114709696$ |
$1$ |
|
$2$ |
$435456$ |
$2.037327$ |
$-3115161720438843817/315659127512386944$ |
$0.99089$ |
$4.71787$ |
$[1, 0, 1, -30427, -27110938]$ |
\(y^2+xy+y=x^3-30427x-27110938\) |
3.8.0-3.a.1.2, 33176.2.0.?, 99528.16.0.? |
$[(26845/4, 4308467/4)]$ |
24882.u1 |
24882u1 |
24882.u |
24882u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{6} \cdot 11^{3} \cdot 13 \cdot 29 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$99528$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$15552$ |
$0.524163$ |
$-6894801108937/2926421784$ |
$0.85956$ |
$2.97492$ |
$[1, 0, 1, -397, 3968]$ |
\(y^2+xy+y=x^3-397x+3968\) |
3.8.0-3.a.1.2, 33176.2.0.?, 99528.16.0.? |
$[]$ |
24882.u2 |
24882u2 |
24882.u |
24882u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{9} \cdot 3^{2} \cdot 11 \cdot 13^{3} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$99528$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46656$ |
$1.073469$ |
$3195164697368903/2715996501504$ |
$0.91369$ |
$3.52705$ |
$[1, 0, 1, 3068, -44542]$ |
\(y^2+xy+y=x^3+3068x-44542\) |
3.8.0-3.a.1.1, 33176.2.0.?, 99528.16.0.? |
$[]$ |
24882.v1 |
24882t1 |
24882.v |
24882t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{3} \cdot 11^{6} \cdot 13^{2} \cdot 29 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$36288$ |
$0.918517$ |
$-661459323097/468850704894$ |
$0.94417$ |
$3.39157$ |
$[1, 0, 1, -182, 32942]$ |
\(y^2+xy+y=x^3-182x+32942\) |
3.8.0-3.a.1.2, 696.16.0.? |
$[]$ |
24882.v2 |
24882t2 |
24882.v |
24882t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3 \cdot 11^{2} \cdot 13^{6} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$696$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$108864$ |
$1.467823$ |
$482019393285143/341861913811704$ |
$0.97775$ |
$4.04265$ |
$[1, 0, 1, 1633, -889078]$ |
\(y^2+xy+y=x^3+1633x-889078\) |
3.8.0-3.a.1.1, 696.16.0.? |
$[]$ |
24882.w1 |
24882ba1 |
24882.w |
24882ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{6} \cdot 11 \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7296$ |
$-0.010158$ |
$8780064047/6046326$ |
$0.81314$ |
$2.26200$ |
$[1, 1, 1, 43, 65]$ |
\(y^2+xy+y=x^3+x^2+43x+65\) |
33176.2.0.? |
$[]$ |
24882.x1 |
24882bb1 |
24882.x |
24882bb |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{4} \cdot 11 \cdot 13 \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$33176$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55680$ |
$0.921776$ |
$50288355526031/475161277734$ |
$0.90905$ |
$3.38656$ |
$[1, 1, 1, 769, -31813]$ |
\(y^2+xy+y=x^3+x^2+769x-31813\) |
33176.2.0.? |
$[]$ |
24882.y1 |
24882w2 |
24882.y |
24882w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{6} \cdot 11 \cdot 13^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33792$ |
$1.030842$ |
$860153182858140625/2279464902$ |
$0.96203$ |
$4.07986$ |
$[1, 1, 1, -19813, 1065173]$ |
\(y^2+xy+y=x^3+x^2-19813x+1065173\) |
2.3.0.a.1, 88.6.0.?, 348.6.0.?, 7656.12.0.? |
$[]$ |
24882.y2 |
24882w1 |
24882.y |
24882w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{2} \cdot 3^{3} \cdot 11^{2} \cdot 13^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$7656$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16896$ |
$0.684268$ |
$-202313692752625/10823819292$ |
$0.97937$ |
$3.26315$ |
$[1, 1, 1, -1223, 16697]$ |
\(y^2+xy+y=x^3+x^2-1223x+16697\) |
2.3.0.a.1, 88.6.0.?, 174.6.0.?, 7656.12.0.? |
$[]$ |
24882.z1 |
24882x2 |
24882.z |
24882x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{4} \cdot 11 \cdot 13^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$33176$ |
$12$ |
$0$ |
$1.010620392$ |
$1$ |
|
$6$ |
$23040$ |
$0.691035$ |
$817531515762625/4052382048$ |
$0.88654$ |
$3.39238$ |
$[1, 1, 1, -1948, -33763]$ |
\(y^2+xy+y=x^3+x^2-1948x-33763\) |
2.3.0.a.1, 88.6.0.?, 1508.6.0.?, 33176.12.0.? |
$[(-25, 3)]$ |
24882.z2 |
24882x1 |
24882.z |
24882x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{10} \cdot 3^{2} \cdot 11^{2} \cdot 13 \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$33176$ |
$12$ |
$0$ |
$0.505310196$ |
$1$ |
|
$9$ |
$11520$ |
$0.344462$ |
$735091890625/420406272$ |
$1.04627$ |
$2.69942$ |
$[1, 1, 1, -188, 29]$ |
\(y^2+xy+y=x^3+x^2-188x+29\) |
2.3.0.a.1, 88.6.0.?, 754.6.0.?, 33176.12.0.? |
$[(-9, 37)]$ |
24882.ba1 |
24882bc1 |
24882.ba |
24882bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{4} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$1.074472$ |
$832326793133773393/12682454928$ |
$0.92710$ |
$4.07661$ |
$[1, 1, 1, -19597, -1064077]$ |
\(y^2+xy+y=x^3+x^2-19597x-1064077\) |
2.3.0.a.1, 66.6.0.a.1, 116.6.0.?, 3828.12.0.? |
$[]$ |
24882.ba2 |
24882bc2 |
24882.ba |
24882bc |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 29 \) |
\( - 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 13^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$3828$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.421045$ |
$-760590959339242513/103046367599604$ |
$0.92917$ |
$4.08848$ |
$[1, 1, 1, -19017, -1129269]$ |
\(y^2+xy+y=x^3+x^2-19017x-1129269\) |
2.3.0.a.1, 116.6.0.?, 132.6.0.?, 3828.12.0.? |
$[]$ |