| 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 |
| 18496.a1 |
18496h1 |
18496.a |
18496h |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{14} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$136$ |
$48$ |
$0$ |
$0.804968135$ |
$1$ |
|
$7$ |
$36864$ |
$1.154976$ |
$35152/17$ |
$0.75928$ |
$3.78317$ |
$[0, 1, 0, -5009, 53647]$ |
\(y^2=x^3+x^2-5009x+53647\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 34.6.0.a.1, 68.24.0.f.1, $\ldots$ |
$[(-6, 289)]$ |
| 18496.a2 |
18496h2 |
18496.a |
18496h |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{16} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.38 |
2B |
$136$ |
$48$ |
$0$ |
$1.609936270$ |
$1$ |
|
$5$ |
$73728$ |
$1.501551$ |
$415292/289$ |
$0.87236$ |
$4.17558$ |
$[0, 1, 0, 18111, 428191]$ |
\(y^2=x^3+x^2+18111x+428191\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 68.12.0.d.1, 136.48.0.? |
$[(45, 1156)]$ |
| 18496.b1 |
18496s2 |
18496.b |
18496s |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{16} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$139264$ |
$1.972975$ |
$1098500$ |
$0.91788$ |
$5.13966$ |
$[0, 1, 0, -425793, 106715455]$ |
\(y^2=x^3+x^2-425793x+106715455\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[]$ |
| 18496.b2 |
18496s1 |
18496.b |
18496s |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{14} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$69632$ |
$1.626400$ |
$2000$ |
$0.77446$ |
$4.35649$ |
$[0, 1, 0, -32753, 830479]$ |
\(y^2=x^3+x^2-32753x+830479\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[]$ |
| 18496.c1 |
18496f2 |
18496.c |
18496f |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{16} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$2.102232983$ |
$1$ |
|
$5$ |
$8192$ |
$0.556368$ |
$1098500$ |
$0.91788$ |
$3.40951$ |
$[0, 1, 0, -1473, -22241]$ |
\(y^2=x^3+x^2-1473x-22241\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[(-22, 1)]$ |
| 18496.c2 |
18496f1 |
18496.c |
18496f |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{14} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$1.051116491$ |
$1$ |
|
$7$ |
$4096$ |
$0.209794$ |
$2000$ |
$0.77446$ |
$2.62634$ |
$[0, 1, 0, -113, -209]$ |
\(y^2=x^3+x^2-113x-209\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[(-6, 17)]$ |
| 18496.d1 |
18496r2 |
18496.d |
18496r |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{17} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.631334$ |
$6097250/289$ |
$0.87700$ |
$4.51957$ |
$[0, 1, 0, -55873, -4889409]$ |
\(y^2=x^3+x^2-55873x-4889409\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 18496.d2 |
18496r1 |
18496.d |
18496r |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{16} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.284761$ |
$62500/17$ |
$0.89869$ |
$3.98283$ |
$[0, 1, 0, -9633, 261727]$ |
\(y^2=x^3+x^2-9633x+261727\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 18496.e1 |
18496g4 |
18496.e |
18496g |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{19} \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$8.695406487$ |
$1$ |
|
$3$ |
$663552$ |
$2.635815$ |
$159661140625/48275138$ |
$1.06848$ |
$5.62550$ |
$[0, 1, 0, -2090433, -804591713]$ |
\(y^2=x^3+x^2-2090433x-804591713\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.7, $\ldots$ |
$[(56059, 13268640)]$ |
| 18496.e2 |
18496g3 |
18496.e |
18496g |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{20} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$17.39081297$ |
$1$ |
|
$1$ |
$331776$ |
$2.289242$ |
$120920208625/19652$ |
$0.98564$ |
$5.59721$ |
$[0, 1, 0, -1905473, -1012893665]$ |
\(y^2=x^3+x^2-1905473x-1012893665\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.7, $\ldots$ |
$[(382254691/165, 7436276279936/165)]$ |
| 18496.e3 |
18496g2 |
18496.e |
18496g |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{21} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$2.898468829$ |
$1$ |
|
$3$ |
$221184$ |
$2.086510$ |
$8805624625/2312$ |
$0.96590$ |
$5.33058$ |
$[0, 1, 0, -795713, 272874271]$ |
\(y^2=x^3+x^2-795713x+272874271\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.1, $\ldots$ |
$[(571, 2240)]$ |
| 18496.e4 |
18496g1 |
18496.e |
18496g |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{24} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$5.796937658$ |
$1$ |
|
$1$ |
$110592$ |
$1.739935$ |
$3048625/1088$ |
$0.90010$ |
$4.51957$ |
$[0, 1, 0, -55873, 3128607]$ |
\(y^2=x^3+x^2-55873x+3128607\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.1, $\ldots$ |
$[(6019/5, 240128/5)]$ |
| 18496.f1 |
18496t2 |
18496.f |
18496t |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.23 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.271160$ |
$19248832/17$ |
$0.91741$ |
$4.28384$ |
$[0, 1, 0, -25817, -1604057]$ |
\(y^2=x^3+x^2-25817x-1604057\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.1, 34.6.0.a.1, 68.12.0.e.1, $\ldots$ |
$[]$ |
| 18496.f2 |
18496t1 |
18496.f |
18496t |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.6 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18432$ |
$0.924587$ |
$-140608/289$ |
$1.04671$ |
$3.51413$ |
$[0, 1, 0, -1252, -36810]$ |
\(y^2=x^3+x^2-1252x-36810\) |
2.3.0.a.1, 4.12.0-4.a.1.2, 68.24.0-68.d.1.2, 136.48.0.? |
$[]$ |
| 18496.g1 |
18496u2 |
18496.g |
18496u |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{15} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.459967$ |
$941192/289$ |
$0.97049$ |
$4.18830$ |
$[0, 1, 0, -18881, 677887]$ |
\(y^2=x^3+x^2-18881x+677887\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 18496.g2 |
18496u1 |
18496.g |
18496u |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.113394$ |
$438976/17$ |
$0.96236$ |
$3.89904$ |
$[0, 1, 0, -7321, -235353]$ |
\(y^2=x^3+x^2-7321x-235353\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 18496.h1 |
18496l2 |
18496.h |
18496l |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$69632$ |
$1.507524$ |
$1728$ |
|
$4.20052$ |
$[0, 0, 0, -19652, 0]$ |
\(y^2=x^3-19652x\) |
|
$[]$ |
| 18496.h2 |
18496l1 |
18496.h |
18496l |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$1$ |
$34816$ |
$1.160952$ |
$1728$ |
|
$3.77724$ |
$[0, 0, 0, 4913, 0]$ |
\(y^2=x^3+4913x\) |
|
$[]$ |
| 18496.i1 |
18496c3 |
18496.i |
18496c |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.96 |
2B |
$1088$ |
$1536$ |
$53$ |
$5.723560337$ |
$1$ |
|
$3$ |
$147456$ |
$2.079693$ |
$82483294977/17$ |
$1.03131$ |
$5.55828$ |
$[0, 0, 0, -1677356, -836153296]$ |
\(y^2=x^3-1677356x-836153296\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 16.48.0-16.j.1.4, 32.96.0-32.f.2.3, $\ldots$ |
$[(9656, 939828)]$ |
| 18496.i2 |
18496c2 |
18496.i |
18496c |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.86 |
2Cs |
$544$ |
$1536$ |
$53$ |
$2.861780168$ |
$4$ |
$2$ |
$9$ |
$73728$ |
$1.733118$ |
$20346417/289$ |
$1.02963$ |
$4.71276$ |
$[0, 0, 0, -105196, -12970320]$ |
\(y^2=x^3-105196x-12970320\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.f.1.3, 16.96.0-16.c.2.4, 68.24.0.b.1, $\ldots$ |
$[(-202, 192)]$ |
| 18496.i3 |
18496c4 |
18496.i |
18496c |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{18} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.181 |
2B |
$1088$ |
$1536$ |
$53$ |
$5.723560337$ |
$1$ |
|
$3$ |
$147456$ |
$2.079693$ |
$-35937/83521$ |
$1.18071$ |
$4.91219$ |
$[0, 0, 0, -12716, -34980560]$ |
\(y^2=x^3-12716x-34980560\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.t.1.3, 16.96.0-16.m.2.4, 68.24.0-4.d.1.2, $\ldots$ |
$[(376, 3660)]$ |
| 18496.i4 |
18496c1 |
18496.i |
18496c |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.100 |
2B |
$1088$ |
$1536$ |
$53$ |
$1.430890084$ |
$1$ |
|
$5$ |
$36864$ |
$1.386543$ |
$35937/17$ |
$1.02432$ |
$4.06760$ |
$[0, 0, 0, -12716, 235824]$ |
\(y^2=x^3-12716x+235824\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 16.48.0-16.j.1.2, 32.96.0-32.f.2.4, $\ldots$ |
$[(-51, 867)]$ |
| 18496.j1 |
18496i3 |
18496.j |
18496i |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{15} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$7.099675182$ |
$1$ |
|
$5$ |
$20480$ |
$1.145794$ |
$287496$ |
$1.17246$ |
$4.06760$ |
$[0, 0, 0, -12716, -550256]$ |
\(y^2=x^3-12716x-550256\) |
|
$[(204, 2312), (1020, 32368)]$ |
| 18496.j2 |
18496i4 |
18496.j |
18496i |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{15} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.774918795$ |
$1$ |
|
$17$ |
$20480$ |
$1.145794$ |
$287496$ |
$1.17246$ |
$4.06760$ |
$[0, 0, 0, -12716, 550256]$ |
\(y^2=x^3-12716x+550256\) |
|
$[(85, 289), (374, 6936)]$ |
| 18496.j3 |
18496i2 |
18496.j |
18496i |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$7.099675182$ |
$1$ |
|
$11$ |
$10240$ |
$0.799221$ |
$1728$ |
|
$3.33544$ |
$[0, 0, 0, -1156, 0]$ |
\(y^2=x^3-1156x\) |
|
$[(-2, 48), (-16, 120)]$ |
| 18496.j4 |
18496i1 |
18496.j |
18496i |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{6} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$7.099675182$ |
$1$ |
|
$5$ |
$5120$ |
$0.452647$ |
$1728$ |
|
$2.91216$ |
$[0, 0, 0, 289, 0]$ |
\(y^2=x^3+289x\) |
|
$[(68, 578), (144, 1740)]$ |
| 18496.k1 |
18496j3 |
18496.k |
18496j |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.100 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$2.079693$ |
$82483294977/17$ |
$1.03131$ |
$5.55828$ |
$[0, 0, 0, -1677356, 836153296]$ |
\(y^2=x^3-1677356x+836153296\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.2, 16.48.0-16.j.1.2, 32.96.0-32.f.2.4, $\ldots$ |
$[]$ |
| 18496.k2 |
18496j2 |
18496.k |
18496j |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.86 |
2Cs |
$544$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$3$ |
$73728$ |
$1.733118$ |
$20346417/289$ |
$1.02963$ |
$4.71276$ |
$[0, 0, 0, -105196, 12970320]$ |
\(y^2=x^3-105196x+12970320\) |
2.6.0.a.1, 4.12.0.a.1, 8.48.0-8.f.1.3, 16.96.0-16.c.2.4, 68.24.0.b.1, $\ldots$ |
$[]$ |
| 18496.k3 |
18496j1 |
18496.k |
18496j |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{18} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.96 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.386543$ |
$35937/17$ |
$1.02432$ |
$4.06760$ |
$[0, 0, 0, -12716, -235824]$ |
\(y^2=x^3-12716x-235824\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.o.1.4, 16.48.0-16.j.1.4, 32.96.0-32.f.2.3, $\ldots$ |
$[]$ |
| 18496.k4 |
18496j4 |
18496.k |
18496j |
$4$ |
$4$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{18} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.181 |
2B |
$1088$ |
$1536$ |
$53$ |
$1$ |
$4$ |
$2$ |
$1$ |
$147456$ |
$2.079693$ |
$-35937/83521$ |
$1.18071$ |
$4.91219$ |
$[0, 0, 0, -12716, 34980560]$ |
\(y^2=x^3-12716x+34980560\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.t.1.3, 16.96.0-16.m.2.4, 68.24.0-4.d.1.2, $\ldots$ |
$[]$ |
| 18496.l1 |
18496b1 |
18496.l |
18496b |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$3.876975213$ |
$1$ |
|
$5$ |
$18432$ |
$1.089705$ |
$216000/17$ |
$0.77446$ |
$3.82686$ |
$[0, 0, 0, -5780, -157216]$ |
\(y^2=x^3-5780x-157216\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(-35, 47)]$ |
| 18496.l2 |
18496b2 |
18496.l |
18496b |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{15} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$7.753950426$ |
$1$ |
|
$3$ |
$36864$ |
$1.436277$ |
$27000/289$ |
$1.24244$ |
$4.11815$ |
$[0, 0, 0, 5780, -707472]$ |
\(y^2=x^3+5780x-707472\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(2277, 108711)]$ |
| 18496.m1 |
18496a1 |
18496.m |
18496a |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$2.907837118$ |
$1$ |
|
$5$ |
$18432$ |
$1.089705$ |
$216000/17$ |
$0.77446$ |
$3.82686$ |
$[0, 0, 0, -5780, 157216]$ |
\(y^2=x^3-5780x+157216\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(30, 104)]$ |
| 18496.m2 |
18496a2 |
18496.m |
18496a |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{15} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$5.815674236$ |
$1$ |
|
$3$ |
$36864$ |
$1.436277$ |
$27000/289$ |
$1.24244$ |
$4.11815$ |
$[0, 0, 0, 5780, 707472]$ |
\(y^2=x^3+5780x+707472\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(608, 15132)]$ |
| 18496.n1 |
18496k2 |
18496.n |
18496k |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.090918$ |
$1728$ |
|
$2.47037$ |
$[0, 0, 0, -68, 0]$ |
\(y^2=x^3-68x\) |
|
$[]$ |
| 18496.n2 |
18496k1 |
18496.n |
18496k |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$4$ |
$2$ |
$1$ |
$2048$ |
$-0.255656$ |
$1728$ |
|
$2.04708$ |
$[0, 0, 0, 17, 0]$ |
\(y^2=x^3+17x\) |
|
$[]$ |
| 18496.o1 |
18496p1 |
18496.o |
18496p |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{14} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.154976$ |
$35152/17$ |
$0.75928$ |
$3.78317$ |
$[0, -1, 0, -5009, -53647]$ |
\(y^2=x^3-x^2-5009x-53647\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 34.6.0.a.1, 68.24.0.f.1, $\ldots$ |
$[]$ |
| 18496.o2 |
18496p2 |
18496.o |
18496p |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{16} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.38 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$73728$ |
$1.501551$ |
$415292/289$ |
$0.87236$ |
$4.17558$ |
$[0, -1, 0, 18111, -428191]$ |
\(y^2=x^3-x^2+18111x-428191\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 68.12.0.d.1, 136.48.0.? |
$[]$ |
| 18496.p1 |
18496n4 |
18496.p |
18496n |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{19} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$663552$ |
$2.635815$ |
$159661140625/48275138$ |
$1.06848$ |
$5.62550$ |
$[0, -1, 0, -2090433, 804591713]$ |
\(y^2=x^3-x^2-2090433x+804591713\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.6, $\ldots$ |
$[]$ |
| 18496.p2 |
18496n3 |
18496.p |
18496n |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{20} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$2.289242$ |
$120920208625/19652$ |
$0.98564$ |
$5.59721$ |
$[0, -1, 0, -1905473, 1012893665]$ |
\(y^2=x^3-x^2-1905473x+1012893665\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.6, $\ldots$ |
$[]$ |
| 18496.p3 |
18496n2 |
18496.p |
18496n |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{21} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$2.086510$ |
$8805624625/2312$ |
$0.96590$ |
$5.33058$ |
$[0, -1, 0, -795713, -272874271]$ |
\(y^2=x^3-x^2-795713x-272874271\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 12.24.0-6.a.1.12, $\ldots$ |
$[]$ |
| 18496.p4 |
18496n1 |
18496.p |
18496n |
$4$ |
$6$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{24} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$408$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.739935$ |
$3048625/1088$ |
$0.90010$ |
$4.51957$ |
$[0, -1, 0, -55873, -3128607]$ |
\(y^2=x^3-x^2-55873x-3128607\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 12.24.0-6.a.1.12, $\ldots$ |
$[]$ |
| 18496.q1 |
18496d2 |
18496.q |
18496d |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{17} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$3.879354563$ |
$1$ |
|
$3$ |
$73728$ |
$1.631334$ |
$6097250/289$ |
$0.87700$ |
$4.51957$ |
$[0, -1, 0, -55873, 4889409]$ |
\(y^2=x^3-x^2-55873x+4889409\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(321, 4464)]$ |
| 18496.q2 |
18496d1 |
18496.q |
18496d |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{16} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$7.758709127$ |
$1$ |
|
$1$ |
$36864$ |
$1.284761$ |
$62500/17$ |
$0.89869$ |
$3.98283$ |
$[0, -1, 0, -9633, -261727]$ |
\(y^2=x^3-x^2-9633x-261727\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(8977/9, 102176/9)]$ |
| 18496.r1 |
18496m2 |
18496.r |
18496m |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{16} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.556368$ |
$1098500$ |
$0.91788$ |
$3.40951$ |
$[0, -1, 0, -1473, 22241]$ |
\(y^2=x^3-x^2-1473x+22241\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[]$ |
| 18496.r2 |
18496m1 |
18496.r |
18496m |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{14} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.209794$ |
$2000$ |
$0.77446$ |
$2.62634$ |
$[0, -1, 0, -113, 209]$ |
\(y^2=x^3-x^2-113x+209\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[]$ |
| 18496.s1 |
18496e2 |
18496.s |
18496e |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{16} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$20.44523164$ |
$1$ |
|
$1$ |
$139264$ |
$1.972975$ |
$1098500$ |
$0.91788$ |
$5.13966$ |
$[0, -1, 0, -425793, -106715455]$ |
\(y^2=x^3-x^2-425793x-106715455\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[(-2072738216/2325, 2096713258327/2325)]$ |
| 18496.s2 |
18496e1 |
18496.s |
18496e |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{14} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$136$ |
$48$ |
$1$ |
$10.22261582$ |
$1$ |
|
$1$ |
$69632$ |
$1.626400$ |
$2000$ |
$0.77446$ |
$4.35649$ |
$[0, -1, 0, -32753, -830479]$ |
\(y^2=x^3-x^2-32753x-830479\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[(-17759/25, 4319664/25)]$ |
| 18496.t1 |
18496o2 |
18496.t |
18496o |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( 2^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.23 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.271160$ |
$19248832/17$ |
$0.91741$ |
$4.28384$ |
$[0, -1, 0, -25817, 1604057]$ |
\(y^2=x^3-x^2-25817x+1604057\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.1, 34.6.0.a.1, 68.12.0.e.1, $\ldots$ |
$[]$ |
| 18496.t2 |
18496o1 |
18496.t |
18496o |
$2$ |
$2$ |
\( 2^{6} \cdot 17^{2} \) |
\( - 2^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.6 |
2B |
$136$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$18432$ |
$0.924587$ |
$-140608/289$ |
$1.04671$ |
$3.51413$ |
$[0, -1, 0, -1252, 36810]$ |
\(y^2=x^3-x^2-1252x+36810\) |
2.3.0.a.1, 4.12.0-4.a.1.2, 68.24.0-68.d.1.2, 136.48.0.? |
$[]$ |
