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 |
210.e1 |
210e7 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.149 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2048$ |
$1.794430$ |
$783736670177727068275201/360150$ |
$1.07467$ |
$10.28937$ |
$[1, 0, 0, -1920800, -1024800150]$ |
\(y^2+xy=x^3-1920800x-1024800150\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.v.2.5, 24.96.0-24.bl.2.7, $\ldots$ |
$[]$ |
210.e3 |
210e8 |
210.e |
210e |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \) |
\( - 2 \cdot 3 \cdot 5^{2} \cdot 7^{16} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.149 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2048$ |
$1.794430$ |
$-187778242790732059201/4984939585440150$ |
$1.05547$ |
$8.73868$ |
$[1, 0, 0, -119300, -16229850]$ |
\(y^2+xy=x^3-119300x-16229850\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.v.2.5, 24.96.0-24.bp.2.7, $\ldots$ |
$[]$ |
582.d1 |
582d3 |
582.d |
582d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 97 \) |
\( 2 \cdot 3 \cdot 97 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$2328$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$256$ |
$0.369014$ |
$3307482800902657/582$ |
$0.98864$ |
$5.61299$ |
$[1, 0, 0, -3104, -66822]$ |
\(y^2+xy=x^3-3104x-66822\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 388.12.0.?, $\ldots$ |
$[]$ |
930.o1 |
930o5 |
930.o |
930o |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 31 \) |
\( 2^{2} \cdot 3 \cdot 5 \cdot 31^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.48.0.48 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$4096$ |
$1.381826$ |
$3216206300355197383681/57660$ |
$1.02949$ |
$7.24523$ |
$[1, 0, 0, -307520, -65664060]$ |
\(y^2+xy=x^3-307520x-65664060\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.e.2.5, 60.24.0-60.h.1.1, $\ldots$ |
$[]$ |
930.o3 |
930o6 |
930.o |
930o |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 31 \) |
\( - 2^{2} \cdot 3 \cdot 5 \cdot 31^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.48.0.177 |
2B |
$7440$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$4096$ |
$1.381826$ |
$-749011598724977281/51173462246460$ |
$1.00195$ |
$6.03775$ |
$[1, 0, 0, -18920, -1060740]$ |
\(y^2+xy=x^3-18920x-1060740\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 30.6.0.a.1, 60.24.0-60.g.1.1, $\ldots$ |
$[]$ |
1158.h1 |
1158h3 |
1158.h |
1158h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 193 \) |
\( 2^{2} \cdot 3 \cdot 193 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$4632$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1024$ |
$0.669349$ |
$208419216331318273/2316$ |
$0.98987$ |
$5.65293$ |
$[1, 0, 0, -12352, -529420]$ |
\(y^2+xy=x^3-12352x-529420\) |
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.z.1.4, $\ldots$ |
$[]$ |
1230.f2 |
1230f5 |
1230.f |
1230f |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 41 \) |
\( 2^{2} \cdot 3^{16} \cdot 5^{2} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.10 |
2Cs |
$3280$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$2$ |
$12288$ |
$1.905062$ |
$79729981196639723693281/7236153800100$ |
$1.03279$ |
$7.41176$ |
$[1, 1, 1, -896670, -327184905]$ |
\(y^2+xy+y=x^3+x^2-896670x-327184905\) |
2.6.0.a.1, 4.24.0-4.b.1.1, 8.48.0-8.i.1.2, 16.96.0-16.d.1.2, 40.96.0-40.bc.2.3, $\ldots$ |
$[]$ |
1287.e1 |
1287e3 |
1287.e |
1287e |
$6$ |
$8$ |
\( 3^{2} \cdot 11 \cdot 13 \) |
\( 3^{8} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$6864$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2048$ |
$1.090403$ |
$35765103905346817/1287$ |
$0.98956$ |
$6.24399$ |
$[1, -1, 0, -61776, -5894451]$ |
\(y^2+xy=x^3-x^2-61776x-5894451\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.8, $\ldots$ |
$[]$ |
1309.c1 |
1309a1 |
1309.c |
1309a |
$1$ |
$1$ |
\( 7 \cdot 11 \cdot 17 \) |
\( - 7^{6} \cdot 11^{3} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$16128$ |
$1.652260$ |
$-7453654902730081529856/45254746691$ |
$1.02919$ |
$7.01726$ |
$[0, 0, 1, -406957, -99924251]$ |
\(y^2+y=x^3-406957x-99924251\) |
22.2.0.a.1 |
$[]$ |
1320.n1 |
1320m5 |
1320.n |
1320m |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \) |
\( 2^{11} \cdot 3 \cdot 5 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2048$ |
$1.158316$ |
$25078144523224322/1815$ |
$1.01033$ |
$6.31635$ |
$[0, 1, 0, -77440, -8320480]$ |
\(y^2=x^3+x^2-77440x-8320480\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 48.48.0-48.f.2.7, 80.48.0.?, $\ldots$ |
$[]$ |
1320.n3 |
1320m6 |
1320.n |
1320m |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 11 \) |
\( - 2^{11} \cdot 3 \cdot 5 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2048$ |
$1.158316$ |
$-4117122162722/3215383215$ |
$0.97835$ |
$5.22241$ |
$[0, 1, 0, -4240, -164320]$ |
\(y^2=x^3+x^2-4240x-164320\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 24.48.0-24.by.2.11, 40.48.0-40.ca.2.3, $\ldots$ |
$[]$ |
1640.c1 |
1640g3 |
1640.c |
1640g |
$4$ |
$4$ |
\( 2^{3} \cdot 5 \cdot 41 \) |
\( 2^{11} \cdot 5 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1640$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1024$ |
$0.690946$ |
$36138584631042/205$ |
$1.29847$ |
$5.24732$ |
$[0, 0, 0, -8747, -314874]$ |
\(y^2=x^3-8747x-314874\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.y.1.13, 164.12.0.?, $\ldots$ |
$[]$ |
1734.j1 |
1734i5 |
1734.j |
1734i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17^{2} \) |
\( 2 \cdot 3^{2} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.271 |
2B |
$272$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$36864$ |
$2.263683$ |
$2361739090258884097/5202$ |
$1.06083$ |
$7.95169$ |
$[1, 1, 1, -8018022, -8742084111]$ |
\(y^2+xy+y=x^3+x^2-8018022x-8742084111\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.r.1.3, 16.96.0-16.l.2.5, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
1734.j2 |
1734i3 |
1734.j |
1734i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.152 |
2Cs |
$136$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$2$ |
$18432$ |
$1.917110$ |
$576615941610337/27060804$ |
$1.03156$ |
$6.83644$ |
$[1, 1, 1, -501132, -136748439]$ |
\(y^2+xy+y=x^3+x^2-501132x-136748439\) |
2.6.0.a.1, 4.12.0.b.1, 8.96.0-8.e.1.2, 68.24.0-4.b.1.1, 136.192.1.? |
$[]$ |
1734.j3 |
1734i6 |
1734.j |
1734i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 17^{2} \) |
\( - 2 \cdot 3^{2} \cdot 17^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.275 |
2B |
$272$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$36864$ |
$2.263683$ |
$-491411892194497/125563633938$ |
$1.03624$ |
$6.86404$ |
$[1, 1, 1, -475122, -151542927]$ |
\(y^2+xy+y=x^3+x^2-475122x-151542927\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.2, 16.96.0-8.m.2.2, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
1752.e2 |
1752d2 |
1752.e |
1752d |
$2$ |
$2$ |
\( 2^{3} \cdot 3 \cdot 73 \) |
\( - 2^{10} \cdot 3^{7} \cdot 73^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$876$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$26880$ |
$2.047848$ |
$-61789459762658596/330967952894043$ |
$1.03379$ |
$6.41651$ |
$[0, -1, 0, -83016, -29455812]$ |
\(y^2=x^3-x^2-83016x-29455812\) |
2.3.0.a.1, 6.6.0.a.1, 292.6.0.?, 876.12.0.? |
$[]$ |
1752.k1 |
1752k3 |
1752.k |
1752k |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 73 \) |
\( 2^{11} \cdot 3^{2} \cdot 73 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$584$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$2560$ |
$0.939042$ |
$1189519335961346/657$ |
$0.98802$ |
$5.66872$ |
$[0, 1, 0, -28032, -1815840]$ |
\(y^2=x^3+x^2-28032x-1815840\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 292.12.0.?, 584.48.0.? |
$[]$ |
2045.c1 |
2045b1 |
2045.c |
2045b |
$1$ |
$1$ |
\( 5 \cdot 409 \) |
\( - 5^{17} \cdot 409 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$8180$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$14280$ |
$1.462349$ |
$-18102157968366009/312042236328125$ |
$0.99041$ |
$5.36024$ |
$[1, -1, 0, -5470, -862675]$ |
\(y^2+xy=x^3-x^2-5470x-862675\) |
8180.2.0.? |
$[]$ |
2178.g1 |
2178k3 |
2178.g |
2178k |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{7} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$15360$ |
$1.653299$ |
$4824238966273/66$ |
$1.02376$ |
$6.52910$ |
$[1, -1, 1, -383351, -91261299]$ |
\(y^2+xy+y=x^3-x^2-383351x-91261299\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 264.48.0.? |
$[]$ |
2184.c1 |
2184j5 |
2184.c |
2184j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13 \) |
\( 2^{11} \cdot 3^{6} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$18432$ |
$1.951288$ |
$1224522642327678150914/66339$ |
$1.03626$ |
$7.30681$ |
$[0, -1, 0, -2830464, -1831939092]$ |
\(y^2=x^3-x^2-2830464x-1831939092\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 48.48.0-48.g.1.15, 112.48.0.?, $\ldots$ |
$[]$ |
2184.c3 |
2184j6 |
2184.c |
2184j |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13 \) |
\( - 2^{11} \cdot 3^{24} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.55 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$18432$ |
$1.951288$ |
$-280880296871140514/25701087819771$ |
$1.00895$ |
$6.23601$ |
$[0, -1, 0, -173264, -29815860]$ |
\(y^2=x^3-x^2-173264x-29815860\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 48.48.0-48.g.1.15, 56.48.0-56.bu.2.2, $\ldots$ |
$[]$ |
2190.o3 |
2190o4 |
2190.o |
2190o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 73 \) |
\( - 2^{2} \cdot 3^{5} \cdot 5^{24} \cdot 73 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1752$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$168960$ |
$2.860031$ |
$-11539481913826720941520369/4229307174682617187500$ |
$1.03876$ |
$7.56644$ |
$[1, 0, 0, -4707831, -5025156939]$ |
\(y^2+xy=x^3-4707831x-5025156939\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[]$ |
2205.i1 |
2205j7 |
2205.i |
2205j |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 7^{2} \) |
\( 3^{10} \cdot 5 \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$3360$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$12288$ |
$1.813131$ |
$1114544804970241/405$ |
$1.07354$ |
$6.87335$ |
$[1, -1, 0, -952569, -357605172]$ |
\(y^2+xy=x^3-x^2-952569x-357605172\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
2280.h1 |
2280i5 |
2280.h |
2280i |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 19 \) |
\( 2^{11} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.47 |
2B |
$1520$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$8192$ |
$1.638592$ |
$17981241677724245762/16245$ |
$1.02173$ |
$6.72025$ |
$[0, 1, 0, -693120, -222337440]$ |
\(y^2=x^3+x^2-693120x-222337440\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.6, 16.48.0-16.f.2.11, 40.48.0-40.bp.1.7, $\ldots$ |
$[]$ |
2280.h3 |
2280i6 |
2280.h |
2280i |
$6$ |
$8$ |
\( 2^{3} \cdot 3 \cdot 5 \cdot 19 \) |
\( - 2^{11} \cdot 3^{2} \cdot 5 \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.178 |
2B |
$1520$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$8192$ |
$1.638592$ |
$-3865238121540962/764260336845$ |
$0.99072$ |
$5.66603$ |
$[0, 1, 0, -41520, -3785760]$ |
\(y^2=x^3+x^2-41520x-3785760\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 40.96.0-40.bk.2.3, 304.96.0.?, $\ldots$ |
$[]$ |
2310.v1 |
2310v3 |
2310.v |
2310v |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
\( 2^{3} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$3072$ |
$0.973964$ |
$13235378341603461121/9240$ |
$0.99085$ |
$5.68488$ |
$[1, 0, 0, -49280, -4214808]$ |
\(y^2+xy=x^3-49280x-4214808\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.14, 1540.12.0.?, $\ldots$ |
$[]$ |
2331.f1 |
2331h3 |
2331.f |
2331h |
$4$ |
$4$ |
\( 3^{2} \cdot 7 \cdot 37 \) |
\( 3^{7} \cdot 7 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6216$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2560$ |
$0.980819$ |
$7870267657034497/777$ |
$1.03732$ |
$5.57045$ |
$[1, -1, 0, -37296, -2763005]$ |
\(y^2+xy=x^3-x^2-37296x-2763005\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 56.12.0.ba.1, 84.12.0.?, $\ldots$ |
$[]$ |
2352.v1 |
2352v5 |
2352.v |
2352v |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.114 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$12288$ |
$1.740307$ |
$53297461115137/147$ |
$1.05087$ |
$6.64691$ |
$[0, 1, 0, -614672, -185691948]$ |
\(y^2=x^3+x^2-614672x-185691948\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0.h.1, 16.48.0-16.e.2.1, $\ldots$ |
$[]$ |
2394.n1 |
2394m3 |
2394.n |
2394m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( 2 \cdot 3^{11} \cdot 7 \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$10240$ |
$1.524609$ |
$661397832743623417/443352042$ |
$1.00383$ |
$6.12087$ |
$[1, -1, 1, -163364, -25373635]$ |
\(y^2+xy+y=x^3-x^2-163364x-25373635\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 456.24.0.?, 1064.24.0.?, $\ldots$ |
$[]$ |
2394.n4 |
2394m4 |
2394.n |
2394m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19 \) |
\( - 2 \cdot 3^{26} \cdot 7 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$10240$ |
$1.524609$ |
$740480746823/927484650666$ |
$1.05145$ |
$5.34676$ |
$[1, -1, 1, 1696, -1251187]$ |
\(y^2+xy+y=x^3-x^2+1696x-1251187\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 228.12.0.?, $\ldots$ |
$[]$ |
2535.k1 |
2535f7 |
2535.k |
2535f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( 3 \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.111 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$64512$ |
$2.471893$ |
$242970740812818720001/24375$ |
$1.04119$ |
$7.95223$ |
$[1, 0, 1, -21970004, -39638148769]$ |
\(y^2+xy+y=x^3-21970004x-39638148769\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 16.48.0-16.g.1.9, $\ldots$ |
$[]$ |
2535.k2 |
2535f5 |
2535.k |
2535f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.143 |
2Cs |
$3120$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$2$ |
$32256$ |
$2.125317$ |
$59319456301170001/594140625$ |
$1.01234$ |
$6.89101$ |
$[1, 0, 1, -1373129, -619428769]$ |
\(y^2+xy+y=x^3-1373129x-619428769\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.i.1.1, 12.24.0-4.b.1.2, 24.96.0-24.bb.1.13, $\ldots$ |
$[]$ |
2535.k3 |
2535f8 |
2535.k |
2535f |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 13^{2} \) |
\( - 3 \cdot 5^{16} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.111 |
2B |
$6240$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$64512$ |
$2.471893$ |
$-55150149867714721/5950927734375$ |
$1.01425$ |
$6.90353$ |
$[1, 0, 1, -1340174, -650564653]$ |
\(y^2+xy+y=x^3-1340174x-650564653\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.1, 16.48.0-16.g.1.9, $\ldots$ |
$[]$ |
2670.d1 |
2670d3 |
2670.d |
2670d |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 89 \) |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 89 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.24.0.102 |
2B |
$712$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$8192$ |
$1.300259$ |
$1077773706461706278401/40050$ |
$1.00377$ |
$6.13818$ |
$[1, 1, 1, -213600, -38086065]$ |
\(y^2+xy+y=x^3+x^2-213600x-38086065\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 356.12.0.?, 712.48.0.? |
$[]$ |
2678.e1 |
2678a1 |
2678.e |
2678a |
$1$ |
$1$ |
\( 2 \cdot 13 \cdot 103 \) |
\( 2^{23} \cdot 13^{9} \cdot 103 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$10712$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$105984$ |
$2.501480$ |
$2649510713007509894907337/9162569792463306752$ |
$1.06677$ |
$7.12500$ |
$[1, 1, 0, -2882796, -1879512496]$ |
\(y^2+xy=x^3+x^2-2882796x-1879512496\) |
10712.2.0.? |
$[]$ |
2691.d1 |
2691e3 |
2691.d |
2691e |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 23 \) |
\( 3^{11} \cdot 13^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$552$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$107520$ |
$2.562450$ |
$14137816614617731097417473/944541$ |
$1.14205$ |
$8.16729$ |
$[1, -1, 0, -45337968, -117489565665]$ |
\(y^2+xy=x^3-x^2-45337968x-117489565665\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 138.6.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
2691.e1 |
2691d3 |
2691.e |
2691d |
$4$ |
$4$ |
\( 3^{2} \cdot 13 \cdot 23 \) |
\( 3^{8} \cdot 13 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$7176$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$5120$ |
$1.251524$ |
$326936102138710273/2691$ |
$0.98125$ |
$5.94102$ |
$[1, -1, 0, -129168, -17835935]$ |
\(y^2+xy=x^3-x^2-129168x-17835935\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 104.12.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
2730.w1 |
2730v7 |
2730.w |
2730v |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 7^{16} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.148 |
2B |
$14560$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$131072$ |
$2.730000$ |
$86623684689189325642735681/56690726941459561860$ |
$1.03541$ |
$7.54843$ |
$[1, 1, 1, -9218020, -10769952415]$ |
\(y^2+xy+y=x^3+x^2-9218020x-10769952415\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.bb.2.3, 16.96.0-16.x.2.4, 130.6.0.?, $\ldots$ |
$[]$ |
2730.w8 |
2730v8 |
2730.w |
2730v |
$8$ |
$16$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 13 \) |
\( - 2^{2} \cdot 3^{32} \cdot 5 \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
16.96.0.153 |
2B |
$14560$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$0$ |
$131072$ |
$2.730000$ |
$1591934139020114746758719/1156766383092650262660$ |
$1.04258$ |
$7.04330$ |
$[1, 1, 1, 2432580, -737334495]$ |
\(y^2+xy+y=x^3+x^2+2432580x-737334495\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.48.0-8.ba.2.6, 16.96.0-16.u.2.3, 224.192.1.?, $\ldots$ |
$[]$ |
2736.d1 |
2736v3 |
2736.d |
2736v |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 19 \) |
\( 2^{17} \cdot 3^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$46080$ |
$2.343891$ |
$74220219816682217473/16416$ |
$1.10905$ |
$7.66503$ |
$[0, 0, 0, -12607491, -17230231550]$ |
\(y^2=x^3-12607491x-17230231550\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.5, 76.12.0.?, $\ldots$ |
$[]$ |
2738.d1 |
2738c1 |
2738.d |
2738c |
$1$ |
$1$ |
\( 2 \cdot 37^{2} \) |
\( - 2^{2} \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$148$ |
$4$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$21312$ |
$1.811577$ |
$-1369/4$ |
$0.91004$ |
$5.70196$ |
$[1, 1, 1, -39045, -7319857]$ |
\(y^2+xy+y=x^3+x^2-39045x-7319857\) |
4.2.0.a.1, 148.4.0.? |
$[]$ |
2742.b2 |
2742b1 |
2742.b |
2742b |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 457 \) |
\( 2^{34} \cdot 3^{10} \cdot 457 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$10968$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$125120$ |
$2.608921$ |
$132345663632589647254674457/463605521618829312$ |
$1.03632$ |
$7.59779$ |
$[1, 1, 0, -10616841, -13319381691]$ |
\(y^2+xy=x^3+x^2-10616841x-13319381691\) |
2.3.0.a.1, 24.6.0.d.1, 914.6.0.?, 10968.12.0.? |
$[]$ |
2880.bc1 |
2880bd7 |
2880.bc |
2880bd |
$8$ |
$16$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \) |
\( 2^{18} \cdot 3^{10} \cdot 5 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.96.0.50 |
2B |
$480$ |
$768$ |
$13$ |
$1$ |
$16$ |
$2$ |
$1$ |
$16384$ |
$1.879896$ |
$1114544804970241/405$ |
$1.07354$ |
$6.74349$ |
$[0, 0, 0, -1244172, -534156784]$ |
\(y^2=x^3-1244172x-534156784\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[]$ |
3038.j1 |
3038i3 |
3038.j |
3038i |
$4$ |
$4$ |
\( 2 \cdot 7^{2} \cdot 31 \) |
\( 2 \cdot 7^{6} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$1736$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$3072$ |
$0.864878$ |
$3999236143617/62$ |
$1.07559$ |
$5.07455$ |
$[1, -1, 1, -16204, -789855]$ |
\(y^2+xy+y=x^3-x^2-16204x-789855\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0-8.p.1.2, 248.24.0.?, $\ldots$ |
$[]$ |
3094.g1 |
3094e3 |
3094.g |
3094e |
$4$ |
$4$ |
\( 2 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{2} \cdot 7^{2} \cdot 13 \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$1768$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$8192$ |
$1.317789$ |
$1363531101852339510273/43316$ |
$1.02652$ |
$6.05488$ |
$[1, -1, 1, -231019, -42680697]$ |
\(y^2+xy+y=x^3-x^2-231019x-42680697\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 52.12.0-4.c.1.1, 68.12.0-4.c.1.1, $\ldots$ |
$[]$ |
3168.e1 |
3168z2 |
3168.e |
3168z |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 11 \) |
\( 2^{9} \cdot 3^{11} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$30720$ |
$2.013084$ |
$6663712298552914184/29403$ |
$1.06967$ |
$6.96864$ |
$[0, 0, 0, -2822691, -1825337270]$ |
\(y^2=x^3-2822691x-1825337270\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 24.48.0-24.bi.1.8 |
$[]$ |
3230.c3 |
3230e4 |
3230.c |
3230e |
$4$ |
$4$ |
\( 2 \cdot 5 \cdot 17 \cdot 19 \) |
\( - 2 \cdot 5^{16} \cdot 17 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$2584$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$11264$ |
$1.367775$ |
$-11428483741113249/98571777343750$ |
$0.98555$ |
$4.91835$ |
$[1, -1, 1, -4693, -492269]$ |
\(y^2+xy+y=x^3-x^2-4693x-492269\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ |
$[]$ |
3234.p1 |
3234r3 |
3234.p |
3234r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11 \) |
\( 2 \cdot 3^{8} \cdot 7^{9} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$616$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$36864$ |
$2.049187$ |
$7209828390823479793/49509306$ |
$1.02603$ |
$6.81775$ |
$[1, 1, 1, -1972104, -1066786449]$ |
\(y^2+xy+y=x^3+x^2-1972104x-1066786449\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 56.24.0-56.z.1.12, 88.24.0.?, 616.48.0.? |
$[]$ |
3366.m1 |
3366o3 |
3366.m |
3366o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{26} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$122880$ |
$2.439571$ |
$12534210458299016895673/315581882565708$ |
$1.02949$ |
$7.07684$ |
$[1, -1, 1, -4355456, -3497469033]$ |
\(y^2+xy+y=x^3-x^2-4355456x-3497469033\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 132.12.0.?, 204.12.0.?, $\ldots$ |
$[]$ |
3366.m4 |
3366o4 |
3366.m |
3366o |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{11} \cdot 11^{12} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$122880$ |
$2.439571$ |
$14861225463775641287/51859390496937804$ |
$1.09247$ |
$6.44616$ |
$[1, -1, 1, 460984, -270300009]$ |
\(y^2+xy+y=x^3-x^2+460984x-270300009\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 102.6.0.?, 204.24.0.?, 264.24.0.?, $\ldots$ |
$[]$ |