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 |
5775.a1 |
5775t1 |
5775.a |
5775t |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{13} \cdot 5^{7} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$0.076451825$ |
$1$ |
|
$14$ |
$104832$ |
$2.150326$ |
$63090423356788736/72214645051395$ |
$1.00252$ |
$5.58115$ |
$[0, 1, 1, 207342, 36004844]$ |
\(y^2+y=x^3+x^2+207342x+36004844\) |
2310.2.0.? |
$[(-27, 5512)]$ |
5775.b1 |
5775v2 |
5775.b |
5775v |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{10} \cdot 7 \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.3 |
5B.1.2 |
$770$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$264000$ |
$2.608727$ |
$116423188793017446400/91315917$ |
$1.04270$ |
$7.19271$ |
$[0, 1, 1, -21743958, -39033426256]$ |
\(y^2+y=x^3+x^2-21743958x-39033426256\) |
5.24.0-5.a.2.2, 154.2.0.?, 770.48.1.? |
$[]$ |
5775.b2 |
5775v1 |
5775.b |
5775v |
$2$ |
$5$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{20} \cdot 5^{2} \cdot 7^{5} \cdot 11 \) |
$0$ |
$\Z/5\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.24.0.1 |
5B.1.1 |
$770$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$52800$ |
$1.804008$ |
$1363413585016606720/644626239703677$ |
$1.03562$ |
$5.19269$ |
$[0, 1, 1, -67548, 2868104]$ |
\(y^2+y=x^3+x^2-67548x+2868104\) |
5.24.0-5.a.1.2, 154.2.0.?, 770.48.1.? |
$[]$ |
5775.c1 |
5775ba1 |
5775.c |
5775ba |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{4} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$0.193421000$ |
$1$ |
|
$8$ |
$4032$ |
$0.389443$ |
$5186867200/754677$ |
$0.89635$ |
$3.32596$ |
$[0, 1, 1, -308, -1906]$ |
\(y^2+y=x^3+x^2-308x-1906\) |
154.2.0.? |
$[(-11, 16)]$ |
5775.d1 |
5775d3 |
5775.d |
5775d |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{10} \cdot 7^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1.410541288$ |
$1$ |
|
$6$ |
$184320$ |
$2.548008$ |
$21026497979043461623321/161783881875$ |
$1.01625$ |
$7.04937$ |
$[1, 1, 1, -14375438, 20972766656]$ |
\(y^2+xy+y=x^3+x^2-14375438x+20972766656\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(2190, -983)]$ |
5775.d2 |
5775d2 |
5775.d |
5775d |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$2.821082576$ |
$1$ |
|
$8$ |
$92160$ |
$2.201435$ |
$5143681768032498601/14238434358225$ |
$0.98713$ |
$6.08927$ |
$[1, 1, 1, -899063, 326960156]$ |
\(y^2+xy+y=x^3+x^2-899063x+326960156\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 140.24.0.?, $\ldots$ |
$[(350, 7262)]$ |
5775.d3 |
5775d4 |
5775.d |
5775d |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{4} \cdot 5^{7} \cdot 7 \cdot 11^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$5.642165153$ |
$1$ |
|
$2$ |
$184320$ |
$2.548008$ |
$-1143792273008057401/8897444448004035$ |
$1.01190$ |
$6.22397$ |
$[1, 1, 1, -544688, 587780156]$ |
\(y^2+xy+y=x^3+x^2-544688x+587780156\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[(755, 24272)]$ |
5775.d4 |
5775d1 |
5775.d |
5775d |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{16} \cdot 5^{7} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$5.642165153$ |
$1$ |
|
$3$ |
$46080$ |
$1.854860$ |
$3481467828171481/2005331497785$ |
$1.02588$ |
$5.24666$ |
$[1, 1, 1, -78938, 550406]$ |
\(y^2+xy+y=x^3+x^2-78938x+550406\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[(4, 482)]$ |
5775.e1 |
5775i3 |
5775.e |
5775i |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{7} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$3.518945027$ |
$1$ |
|
$2$ |
$9216$ |
$1.168310$ |
$957681397954009/31185$ |
$0.94531$ |
$5.09764$ |
$[1, 1, 1, -51338, -4498594]$ |
\(y^2+xy+y=x^3+x^2-51338x-4498594\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 770.6.0.?, 1540.24.0.?, $\ldots$ |
$[(375, 5212)]$ |
5775.e2 |
5775i4 |
5775.e |
5775i |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3 \cdot 5^{7} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$0.879736256$ |
$1$ |
|
$10$ |
$9216$ |
$1.168310$ |
$932288503609/527295615$ |
$0.95635$ |
$4.29700$ |
$[1, 1, 1, -5088, 18906]$ |
\(y^2+xy+y=x^3+x^2-5088x+18906\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 60.24.0-60.h.1.3, 1848.24.0.?, 3080.24.0.?, $\ldots$ |
$[(0, 137)]$ |
5775.e3 |
5775i2 |
5775.e |
5775i |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1.759472513$ |
$1$ |
|
$8$ |
$4608$ |
$0.821737$ |
$234770924809/1334025$ |
$0.88577$ |
$4.13778$ |
$[1, 1, 1, -3213, -71094]$ |
\(y^2+xy+y=x^3+x^2-3213x-71094\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.1, 924.24.0.?, 1540.24.0.?, $\ldots$ |
$[(-34, 0)]$ |
5775.e4 |
5775i1 |
5775.e |
5775i |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3 \cdot 5^{10} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$3.518945027$ |
$1$ |
|
$3$ |
$2304$ |
$0.475164$ |
$-4826809/144375$ |
$0.96833$ |
$3.34946$ |
$[1, 1, 1, -88, -2344]$ |
\(y^2+xy+y=x^3+x^2-88x-2344\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(24, 88)]$ |
5775.f1 |
5775p3 |
5775.f |
5775p |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3 \cdot 5^{9} \cdot 7^{4} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$1.556316$ |
$1058993490188089/13182390375$ |
$0.94617$ |
$5.10925$ |
$[1, 0, 0, -53088, -4661583]$ |
\(y^2+xy=x^3-53088x-4661583\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 60.24.0-60.h.1.1, 1848.24.0.?, 3080.24.0.?, $\ldots$ |
$[]$ |
5775.f2 |
5775p2 |
5775.f |
5775p |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$13824$ |
$1.209742$ |
$1697509118089/833765625$ |
$0.93038$ |
$4.36619$ |
$[1, 0, 0, -6213, 72792]$ |
\(y^2+xy=x^3-6213x+72792\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.a.1.2, 924.24.0.?, 1540.24.0.?, $\ldots$ |
$[]$ |
5775.f3 |
5775p1 |
5775.f |
5775p |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{9} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6912$ |
$0.863169$ |
$932288503609/779625$ |
$0.89741$ |
$4.29700$ |
$[1, 0, 0, -5088, 139167]$ |
\(y^2+xy=x^3-5088x+139167\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 120.24.0.?, 770.6.0.?, 1540.24.0.?, $\ldots$ |
$[]$ |
5775.f4 |
5775p4 |
5775.f |
5775p |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3 \cdot 5^{18} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$9240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$27648$ |
$1.556316$ |
$82375335041831/56396484375$ |
$0.95870$ |
$4.81440$ |
$[1, 0, 0, 22662, 563667]$ |
\(y^2+xy=x^3+22662x+563667\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
5775.g1 |
5775o3 |
5775.g |
5775o |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{18} \cdot 7^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$2.320194$ |
$981281029968144361/522287841796875$ |
$1.01026$ |
$5.89799$ |
$[1, 0, 0, -517563, -40647258]$ |
\(y^2+xy=x^3-517563x-40647258\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 44.12.0.h.1, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
5775.g2 |
5775o2 |
5775.g |
5775o |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{8} \cdot 5^{12} \cdot 7^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1540$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$55296$ |
$1.973621$ |
$474334834335054841/607815140625$ |
$0.97695$ |
$5.81406$ |
$[1, 0, 0, -406188, -99564633]$ |
\(y^2+xy=x^3-406188x-99564633\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 28.12.0-2.a.1.1, 44.12.0.a.1, 140.24.0.?, $\ldots$ |
$[]$ |
5775.g3 |
5775o1 |
5775.g |
5775o |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{9} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$27648$ |
$1.627048$ |
$473897054735271721/779625$ |
$0.97692$ |
$5.81396$ |
$[1, 0, 0, -406063, -99629008]$ |
\(y^2+xy=x^3-406063x-99629008\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.5, 88.12.0.?, $\ldots$ |
$[]$ |
5775.g4 |
5775o4 |
5775.g |
5775o |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{16} \cdot 5^{9} \cdot 7 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$2.320194$ |
$-185077034913624841/551466161890875$ |
$0.99497$ |
$5.91510$ |
$[1, 0, 0, -296813, -154361508]$ |
\(y^2+xy=x^3-296813x-154361508\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, 70.6.0.a.1, $\ldots$ |
$[]$ |
5775.h1 |
5775x2 |
5775.h |
5775x |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$1.290502842$ |
$1$ |
|
$6$ |
$28800$ |
$1.695690$ |
$4274401176989/2343775203$ |
$0.97915$ |
$5.03027$ |
$[1, 0, 0, -42263, 762642]$ |
\(y^2+xy=x^3-42263x+762642\) |
2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[(-23, 1324)]$ |
5775.h2 |
5775x1 |
5775.h |
5775x |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{9} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$2.581005685$ |
$1$ |
|
$5$ |
$14400$ |
$1.349115$ |
$926574216749/6792093$ |
$0.92168$ |
$4.85374$ |
$[1, 0, 0, -25388, -1549233]$ |
\(y^2+xy=x^3-25388x-1549233\) |
2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? |
$[(-89, 130)]$ |
5775.i1 |
5775z2 |
5775.i |
5775z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$0.244073065$ |
$1$ |
|
$10$ |
$1920$ |
$0.356849$ |
$341385539669/160083$ |
$0.91353$ |
$3.62355$ |
$[1, 0, 0, -728, 7497]$ |
\(y^2+xy=x^3-728x+7497\) |
2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[(7, 49)]$ |
5775.i2 |
5775z1 |
5775.i |
5775z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{3} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$0.488146130$ |
$1$ |
|
$7$ |
$960$ |
$0.010275$ |
$131872229/56133$ |
$0.85546$ |
$2.71618$ |
$[1, 0, 0, -53, 72]$ |
\(y^2+xy=x^3-53x+72\) |
2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? |
$[(1, 4)]$ |
5775.j1 |
5775b2 |
5775.j |
5775b |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$1.378756282$ |
$1$ |
|
$4$ |
$2592$ |
$0.451959$ |
$3713464238080/4108797$ |
$0.96131$ |
$3.71329$ |
$[0, -1, 1, -943, -10827]$ |
\(y^2+y=x^3-x^2-943x-10827\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 154.2.0.?, 462.8.0.?, 2310.16.0.? |
$[(-17, 1)]$ |
5775.j2 |
5775b1 |
5775.j |
5775b |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{2} \cdot 7 \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$0.459585427$ |
$1$ |
|
$4$ |
$864$ |
$-0.097347$ |
$359956480/56133$ |
$0.86713$ |
$2.64630$ |
$[0, -1, 1, -43, 108]$ |
\(y^2+y=x^3-x^2-43x+108\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 154.2.0.?, 462.8.0.?, 2310.16.0.? |
$[(-2, 13)]$ |
5775.k1 |
5775a2 |
5775.k |
5775a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3 \cdot 5^{9} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$6.449015873$ |
$1$ |
|
$2$ |
$10368$ |
$1.128069$ |
$-65860951343104/3493875$ |
$0.98707$ |
$4.78858$ |
$[0, -1, 1, -21033, -1167157]$ |
\(y^2+y=x^3-x^2-21033x-1167157\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 462.8.0.?, 2310.16.0.? |
$[(3077, 170462)]$ |
5775.k2 |
5775a1 |
5775.k |
5775a |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{3} \cdot 5^{7} \cdot 7^{3} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2310$ |
$16$ |
$0$ |
$2.149671957$ |
$1$ |
|
$2$ |
$3456$ |
$0.578763$ |
$-262144/509355$ |
$1.02966$ |
$3.49284$ |
$[0, -1, 1, -33, -4282]$ |
\(y^2+y=x^3-x^2-33x-4282\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 462.8.0.?, 2310.16.0.? |
$[(32, 162)]$ |
5775.l1 |
5775g1 |
5775.l |
5775g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{7} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$184800$ |
$2.641438$ |
$7186354610687180800/534923296677$ |
$1.13676$ |
$6.87116$ |
$[0, -1, 1, -8593333, -9692467182]$ |
\(y^2+y=x^3-x^2-8593333x-9692467182\) |
154.2.0.? |
$[]$ |
5775.m1 |
5775h1 |
5775.m |
5775h |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{7} \cdot 5^{13} \cdot 7 \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18816$ |
$1.434675$ |
$17869652393984/13156171875$ |
$0.98585$ |
$4.63796$ |
$[0, -1, 1, 13617, 314543]$ |
\(y^2+y=x^3-x^2+13617x+314543\) |
2310.2.0.? |
$[]$ |
5775.n1 |
5775w1 |
5775.n |
5775w |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{7} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$154$ |
$2$ |
$0$ |
$1.900069862$ |
$1$ |
|
$4$ |
$36960$ |
$1.836718$ |
$7186354610687180800/534923296677$ |
$1.13676$ |
$5.75624$ |
$[0, 1, 1, -343733, -77677231]$ |
\(y^2+y=x^3+x^2-343733x-77677231\) |
154.2.0.? |
$[(-341, 13)]$ |
5775.o1 |
5775r1 |
5775.o |
5775r |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{5} \cdot 5^{7} \cdot 7 \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2310$ |
$2$ |
$0$ |
$0.128250040$ |
$1$ |
|
$8$ |
$9600$ |
$1.241938$ |
$-250523582464/1369738755$ |
$0.96787$ |
$4.41618$ |
$[0, 1, 1, -3283, 232969]$ |
\(y^2+y=x^3+x^2-3283x+232969\) |
2310.2.0.? |
$[(23, 412)]$ |
5775.p1 |
5775y2 |
5775.p |
5775y |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{3} \cdot 11^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$462$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$1.256678$ |
$3713464238080/4108797$ |
$0.96131$ |
$4.82820$ |
$[0, 1, 1, -23583, -1400506]$ |
\(y^2+y=x^3+x^2-23583x-1400506\) |
3.8.0-3.a.1.1, 154.2.0.?, 462.16.0.? |
$[]$ |
5775.p2 |
5775y1 |
5775.p |
5775y |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{8} \cdot 7 \cdot 11 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$462$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4320$ |
$0.707372$ |
$359956480/56133$ |
$0.86713$ |
$3.76122$ |
$[0, 1, 1, -1083, 11369]$ |
\(y^2+y=x^3+x^2-1083x+11369\) |
3.8.0-3.a.1.2, 154.2.0.?, 462.16.0.? |
$[]$ |
5775.q1 |
5775c5 |
5775.q |
5775c |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{3} \cdot 5^{8} \cdot 7 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$36.92252584$ |
$1$ |
|
$0$ |
$184320$ |
$2.703857$ |
$3135316978843283198764801/571725$ |
$1.03024$ |
$7.62720$ |
$[1, 1, 0, -76230000, -256206911625]$ |
\(y^2+xy=x^3+x^2-76230000x-256206911625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 40.24.0-8.n.1.5, $\ldots$ |
$[(52842172273014365/524204, 12120498785455047449133245/524204)]$ |
5775.q2 |
5775c3 |
5775.q |
5775c |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$18.46126292$ |
$1$ |
|
$2$ |
$92160$ |
$2.357281$ |
$765458482133960722801/326869475625$ |
$1.00564$ |
$6.66686$ |
$[1, 1, 0, -4764375, -4004721000]$ |
\(y^2+xy=x^3+x^2-4764375x-4004721000\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.1, 24.24.0.i.1, 56.24.0.h.1, $\ldots$ |
$[(2586579245/116, 131391230591915/116)]$ |
5775.q3 |
5775c6 |
5775.q |
5775c |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{3} \cdot 5^{14} \cdot 7 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$36.92252584$ |
$1$ |
|
$0$ |
$184320$ |
$2.703857$ |
$-754127868744065783521/15825714261328125$ |
$1.00596$ |
$6.66925$ |
$[1, 1, 0, -4740750, -4046371875]$ |
\(y^2+xy=x^3+x^2-4740750x-4046371875\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 24.24.0.bz.2, $\ldots$ |
$[(1346849129628355925/2647004, 1561191795236887210418410025/2647004)]$ |
5775.q4 |
5775c4 |
5775.q |
5775c |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{24} \cdot 5^{7} \cdot 7^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$4.615315730$ |
$1$ |
|
$2$ |
$92160$ |
$2.357281$ |
$1821931919215868881/761147600816295$ |
$0.99769$ |
$5.96944$ |
$[1, 1, 0, -636125, 102716250]$ |
\(y^2+xy=x^3+x^2-636125x+102716250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 40.24.0-8.n.1.1, $\ldots$ |
$[(1750, 65100)]$ |
5775.q5 |
5775c2 |
5775.q |
5775c |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{12} \cdot 5^{8} \cdot 7^{4} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$9.230631460$ |
$1$ |
|
$2$ |
$46080$ |
$2.010708$ |
$189674274234120481/3859869269025$ |
$0.97318$ |
$5.70824$ |
$[1, 1, 0, -299250, -62015625]$ |
\(y^2+xy=x^3+x^2-299250x-62015625\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.3, 24.24.0.i.2, 44.24.0-4.b.1.2, $\ldots$ |
$[(3075525/4, 5387446575/4)]$ |
5775.q6 |
5775c1 |
5775.q |
5775c |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$4.615315730$ |
$1$ |
|
$3$ |
$23040$ |
$1.664135$ |
$4733169839/231139696095$ |
$1.05127$ |
$4.99667$ |
$[1, 1, 0, 875, -2891000]$ |
\(y^2+xy=x^3+x^2+875x-2891000\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0.bz.1, $\ldots$ |
$[(2245/4, 4285/4)]$ |
5775.r1 |
5775k2 |
5775.r |
5775k |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{3} \cdot 5^{9} \cdot 7^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$2.014877995$ |
$1$ |
|
$4$ |
$9600$ |
$1.161568$ |
$341385539669/160083$ |
$0.91353$ |
$4.73846$ |
$[1, 1, 0, -18200, 937125]$ |
\(y^2+xy=x^3+x^2-18200x+937125\) |
2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[(76, -49)]$ |
5775.r2 |
5775k1 |
5775.r |
5775k |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{9} \cdot 7 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$4.029755990$ |
$1$ |
|
$3$ |
$4800$ |
$0.814994$ |
$131872229/56133$ |
$0.85546$ |
$3.83110$ |
$[1, 1, 0, -1325, 9000]$ |
\(y^2+xy=x^3+x^2-1325x+9000\) |
2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? |
$[(-36, 126)]$ |
5775.s1 |
5775m2 |
5775.s |
5775m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{2} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$2.322942730$ |
$1$ |
|
$2$ |
$5760$ |
$0.890970$ |
$4274401176989/2343775203$ |
$0.97915$ |
$3.91535$ |
$[1, 1, 0, -1690, 5425]$ |
\(y^2+xy=x^3+x^2-1690x+5425\) |
2.3.0.a.1, 60.6.0.a.1, 924.6.0.?, 1540.6.0.?, 4620.12.0.? |
$[(-40, 125)]$ |
5775.s2 |
5775m1 |
5775.s |
5775m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{6} \cdot 5^{3} \cdot 7 \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4620$ |
$12$ |
$0$ |
$4.645885461$ |
$1$ |
|
$1$ |
$2880$ |
$0.544396$ |
$926574216749/6792093$ |
$0.92168$ |
$3.73883$ |
$[1, 1, 0, -1015, -12800]$ |
\(y^2+xy=x^3+x^2-1015x-12800\) |
2.3.0.a.1, 60.6.0.b.1, 770.6.0.?, 924.6.0.?, 4620.12.0.? |
$[(-176/3, 76/3)]$ |
5775.t1 |
5775n5 |
5775.t |
5775n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{8} \cdot 5^{6} \cdot 7 \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$20480$ |
$1.427509$ |
$10206027697760497/5557167$ |
$1.00022$ |
$5.37084$ |
$[1, 0, 1, -112976, -14625277]$ |
\(y^2+xy+y=x^3-112976x-14625277\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 28.12.0.h.1, $\ldots$ |
$[]$ |
5775.t2 |
5775n3 |
5775.t |
5775n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{2} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$10240$ |
$1.080935$ |
$2533811507137/58110129$ |
$0.95470$ |
$4.41243$ |
$[1, 0, 1, -7101, -226277]$ |
\(y^2+xy+y=x^3-7101x-226277\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.1, 24.24.0.i.1, 28.24.0.c.1, $\ldots$ |
$[]$ |
5775.t3 |
5775n2 |
5775.t |
5775n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3^{2} \cdot 5^{6} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$9240$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$5120$ |
$0.734362$ |
$6570725617/2614689$ |
$0.92677$ |
$3.72491$ |
$[1, 0, 1, -976, 6473]$ |
\(y^2+xy+y=x^3-976x+6473\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.3, 24.24.0.i.2, 56.24.0.m.1, $\ldots$ |
$[]$ |
5775.t4 |
5775n1 |
5775.t |
5775n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( 3 \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2560$ |
$0.387788$ |
$4354703137/1617$ |
$0.90109$ |
$3.67741$ |
$[1, 0, 1, -851, 9473]$ |
\(y^2+xy+y=x^3-851x+9473\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 40.24.0-8.n.1.1, $\ldots$ |
$[]$ |
5775.t5 |
5775n6 |
5775.t |
5775n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3^{2} \cdot 5^{6} \cdot 7 \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$20480$ |
$1.427509$ |
$3288008303/13504609503$ |
$1.06765$ |
$4.66876$ |
$[1, 0, 1, 774, -698777]$ |
\(y^2+xy+y=x^3+774x-698777\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
5775.t6 |
5775n4 |
5775.t |
5775n |
$6$ |
$8$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 11 \) |
\( - 3 \cdot 5^{6} \cdot 7^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$18480$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10240$ |
$1.080935$ |
$221115865823/190238433$ |
$0.96278$ |
$4.13086$ |
$[1, 0, 1, 3149, 47723]$ |
\(y^2+xy+y=x^3+3149x+47723\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0.bz.1, $\ldots$ |
$[]$ |