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 |
1710.a1 |
1710a2 |
1710.a |
1710a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.707986895$ |
$1$ |
|
$6$ |
$3840$ |
$0.954312$ |
$651038076963/7220000$ |
$1.04112$ |
$4.98228$ |
$[1, -1, 0, -4875, -128539]$ |
\(y^2+xy=x^3-x^2-4875x-128539\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(-37, 6)]$ |
1710.a2 |
1710a1 |
1710.a |
1710a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.853993447$ |
$1$ |
|
$9$ |
$1920$ |
$0.607739$ |
$961504803/486400$ |
$0.92981$ |
$4.10673$ |
$[1, -1, 0, -555, 1925]$ |
\(y^2+xy=x^3-x^2-555x+1925\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-5, 70)]$ |
1710.b1 |
1710c4 |
1710.b |
1710c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 19^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1140$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$192000$ |
$3.158134$ |
$16300610738133468173382620881/2228489100$ |
$1.07409$ |
$9.61181$ |
$[1, -1, 0, -475411005, 3989926514025]$ |
\(y^2+xy=x^3-x^2-475411005x+3989926514025\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 15.24.0-5.a.2.1, 20.72.0-10.a.1.8, $\ldots$ |
$[]$ |
1710.b2 |
1710c3 |
1710.b |
1710c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1140$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$96000$ |
$2.811562$ |
$-3979640234041473454886161/1471455901872240$ |
$1.05780$ |
$8.49446$ |
$[1, -1, 0, -29713185, 62348184621]$ |
\(y^2+xy=x^3-x^2-29713185x+62348184621\) |
2.3.0.a.1, 5.12.0.a.2, 10.72.0-10.a.1.4, 15.24.0-5.a.2.1, 30.144.1-30.i.2.2, $\ldots$ |
$[]$ |
1710.b3 |
1710c2 |
1710.b |
1710c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{16} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1140$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$38400$ |
$2.353416$ |
$75224183150104868881/11219310000000000$ |
$1.03228$ |
$7.03344$ |
$[1, -1, 0, -791505, 233711325]$ |
\(y^2+xy=x^3-x^2-791505x+233711325\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 15.24.0-5.a.1.1, 20.72.0-10.a.2.9, $\ldots$ |
$[]$ |
1710.b4 |
1710c1 |
1710.b |
1710c |
$4$ |
$10$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{20} \cdot 3^{11} \cdot 5^{5} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1140$ |
$288$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$19200$ |
$2.006844$ |
$89962967236397039/287450726400000$ |
$1.02813$ |
$6.33222$ |
$[1, -1, 0, 84015, 19909341]$ |
\(y^2+xy=x^3-x^2+84015x+19909341\) |
2.3.0.a.1, 5.12.0.a.1, 10.72.0-10.a.2.2, 15.24.0-5.a.1.1, 30.144.1-30.i.1.2, $\ldots$ |
$[]$ |
1710.c1 |
1710f2 |
1710.c |
1710f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.245610612$ |
$1$ |
|
$10$ |
$768$ |
$0.252879$ |
$2992209121/54150$ |
$0.89013$ |
$3.81650$ |
$[1, -1, 0, -270, 1750]$ |
\(y^2+xy=x^3-x^2-270x+1750\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(5, 20)]$ |
1710.c2 |
1710f1 |
1710.c |
1710f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.491221225$ |
$1$ |
|
$9$ |
$384$ |
$-0.093694$ |
$-1/3420$ |
$1.10256$ |
$2.97999$ |
$[1, -1, 0, 0, 76]$ |
\(y^2+xy=x^3-x^2+76\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(2, 8)]$ |
1710.d1 |
1710e2 |
1710.d |
1710e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2 \cdot 3^{6} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$456$ |
$16$ |
$0$ |
$2.228136189$ |
$1$ |
|
$6$ |
$2160$ |
$1.020445$ |
$-2376117230685121/342950$ |
$0.98759$ |
$5.64139$ |
$[1, -1, 0, -25020, 1529550]$ |
\(y^2+xy=x^3-x^2-25020x+1529550\) |
3.8.0-3.a.1.2, 152.2.0.?, 456.16.0.? |
$[(85, 65)]$ |
1710.d2 |
1710e1 |
1710.d |
1710e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$456$ |
$16$ |
$0$ |
$0.742712063$ |
$1$ |
|
$4$ |
$720$ |
$0.471138$ |
$-2992209121/2375000$ |
$0.90876$ |
$3.93250$ |
$[1, -1, 0, -270, 2700]$ |
\(y^2+xy=x^3-x^2-270x+2700\) |
3.8.0-3.a.1.1, 152.2.0.?, 456.16.0.? |
$[(-5, 65)]$ |
1710.e1 |
1710g3 |
1710.e |
1710g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{11} \cdot 5 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$10.72727366$ |
$1$ |
|
$2$ |
$30720$ |
$2.036793$ |
$13209596798923694545921/92340$ |
$1.04393$ |
$7.72770$ |
$[1, -1, 0, -4432320, -3590548484]$ |
\(y^2+xy=x^3-x^2-4432320x-3590548484\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[(44367, 9312250)]$ |
1710.e2 |
1710g4 |
1710.e |
1710g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{26} \cdot 5^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.681818415$ |
$1$ |
|
$2$ |
$30720$ |
$2.036793$ |
$3345930611358906241/165622259047500$ |
$1.08127$ |
$6.61530$ |
$[1, -1, 0, -280440, -54592700]$ |
\(y^2+xy=x^3-x^2-280440x-54592700\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(-310, 1730)]$ |
1710.e3 |
1710g2 |
1710.e |
1710g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$5.363636831$ |
$1$ |
|
$6$ |
$15360$ |
$1.690222$ |
$3225005357698077121/8526675600$ |
$1.01809$ |
$6.61036$ |
$[1, -1, 0, -277020, -56050304]$ |
\(y^2+xy=x^3-x^2-277020x-56050304\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.b.1.3, 76.12.0.?, $\ldots$ |
$[(627, 3743)]$ |
1710.e4 |
1710g1 |
1710.e |
1710g |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5 \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.681818415$ |
$1$ |
|
$5$ |
$7680$ |
$1.343647$ |
$-758575480593601/40535043840$ |
$0.98308$ |
$5.49988$ |
$[1, -1, 0, -17100, -895280]$ |
\(y^2+xy=x^3-x^2-17100x-895280\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 20.12.0-4.c.1.2, 30.6.0.a.1, $\ldots$ |
$[(323, 5054)]$ |
1710.f1 |
1710d3 |
1710.f |
1710d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3072$ |
$0.913821$ |
$3107086841064961/570$ |
$0.98891$ |
$5.67742$ |
$[1, -1, 0, -27360, -1735074]$ |
\(y^2+xy=x^3-x^2-27360x-1735074\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 760.24.0.?, $\ldots$ |
$[]$ |
1710.f2 |
1710d4 |
1710.f |
1710d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{4} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.913821$ |
$1177918188481/488703750$ |
$0.96253$ |
$4.61920$ |
$[1, -1, 0, -1980, -17550]$ |
\(y^2+xy=x^3-x^2-1980x-17550\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[]$ |
1710.f3 |
1710d2 |
1710.f |
1710d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1536$ |
$0.567247$ |
$758800078561/324900$ |
$0.93871$ |
$4.56012$ |
$[1, -1, 0, -1710, -26784]$ |
\(y^2+xy=x^3-x^2-1710x-26784\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 24.24.0-24.b.1.2, 380.12.0.?, $\ldots$ |
$[]$ |
1710.f4 |
1710d1 |
1710.f |
1710d |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.220674$ |
$-111284641/123120$ |
$0.87799$ |
$3.51789$ |
$[1, -1, 0, -90, -540]$ |
\(y^2+xy=x^3-x^2-90x-540\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$ |
$[]$ |
1710.g1 |
1710k1 |
1710.g |
1710k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1232$ |
$0.444529$ |
$-11993263569/972800$ |
$0.93850$ |
$4.02061$ |
$[1, -1, 0, -429, -3547]$ |
\(y^2+xy=x^3-x^2-429x-3547\) |
152.2.0.? |
$[]$ |
1710.h1 |
1710b2 |
1710.h |
1710b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.418160269$ |
$1$ |
|
$8$ |
$1280$ |
$0.511304$ |
$260549802603/104256800$ |
$1.06336$ |
$3.97379$ |
$[1, -1, 0, -399, 1805]$ |
\(y^2+xy=x^3-x^2-399x+1805\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(19, 19)]$ |
1710.h2 |
1710b1 |
1710.h |
1710b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.836320539$ |
$1$ |
|
$7$ |
$640$ |
$0.164730$ |
$2161700757/1848320$ |
$1.04165$ |
$3.33009$ |
$[1, -1, 0, 81, 173]$ |
\(y^2+xy=x^3-x^2+81x+173\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(-1, 10)]$ |
1710.i1 |
1710h3 |
1710.i |
1710h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2 \cdot 3^{7} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$0.242449802$ |
$1$ |
|
$10$ |
$2048$ |
$0.912224$ |
$26487576322129/44531250$ |
$0.96284$ |
$5.03736$ |
$[1, -1, 0, -5589, 161995]$ |
\(y^2+xy=x^3-x^2-5589x+161995\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0-8.m.1.7, 76.12.0.?, $\ldots$ |
$[(41, 2)]$ |
1710.i2 |
1710h2 |
1710.i |
1710h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$0.484899605$ |
$1$ |
|
$18$ |
$1024$ |
$0.565650$ |
$14688124849/8122500$ |
$0.96350$ |
$4.03022$ |
$[1, -1, 0, -459, 913]$ |
\(y^2+xy=x^3-x^2-459x+913\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.2, 76.12.0.?, $\ldots$ |
$[(-3, 49)]$ |
1710.i3 |
1710h1 |
1710.i |
1710h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$0.969799210$ |
$1$ |
|
$7$ |
$512$ |
$0.219076$ |
$3301293169/22800$ |
$0.89080$ |
$3.82970$ |
$[1, -1, 0, -279, -1715]$ |
\(y^2+xy=x^3-x^2-279x-1715\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.8, $\ldots$ |
$[(-9, 7)]$ |
1710.i4 |
1710h4 |
1710.i |
1710h |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2 \cdot 3^{10} \cdot 5^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$0.969799210$ |
$1$ |
|
$6$ |
$2048$ |
$0.912224$ |
$871257511151/527800050$ |
$0.99326$ |
$4.57869$ |
$[1, -1, 0, 1791, 5863]$ |
\(y^2+xy=x^3-x^2+1791x+5863\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[(17, 194)]$ |
1710.j1 |
1710j4 |
1710.j |
1710j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{18} \cdot 19^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$138240$ |
$2.815666$ |
$10993009831928446009969/3767761230468750000$ |
$1.05315$ |
$7.70302$ |
$[1, -1, 0, -4169079, -2091148947]$ |
\(y^2+xy=x^3-x^2-4169079x-2091148947\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.t.1.16, 76.6.0.?, $\ldots$ |
$[]$ |
1710.j2 |
1710j2 |
1710.j |
1710j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$2.266361$ |
$7903870428425797297009/886464000000$ |
$1.04255$ |
$7.65871$ |
$[1, -1, 0, -3734919, -2777307075]$ |
\(y^2+xy=x^3-x^2-3734919x-2777307075\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.t.1.15, 76.6.0.?, $\ldots$ |
$[]$ |
1710.j3 |
1710j1 |
1710.j |
1710j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.919786$ |
$-1914980734749238129/20440940544000$ |
$1.01640$ |
$6.54279$ |
$[1, -1, 0, -232839, -43583427]$ |
\(y^2+xy=x^3-x^2-232839x-43583427\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 30.48.0-30.b.1.3, 76.6.0.?, $\ldots$ |
$[]$ |
1710.j4 |
1710j3 |
1710.j |
1710j |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{9} \cdot 19^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1140$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$69120$ |
$2.469093$ |
$69096190760262356111/70568821500000000$ |
$1.04449$ |
$7.02203$ |
$[1, -1, 0, 769401, -227366595]$ |
\(y^2+xy=x^3-x^2+769401x-227366595\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 30.48.0-30.b.1.4, 76.6.0.?, $\ldots$ |
$[]$ |
1710.k1 |
1710i2 |
1710.k |
1710i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2 \cdot 3^{13} \cdot 5^{2} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8960$ |
$1.517376$ |
$1403607530712116449/39475350$ |
$1.20544$ |
$6.49861$ |
$[1, -1, 0, -209934, 37075590]$ |
\(y^2+xy=x^3-x^2-209934x+37075590\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[]$ |
1710.k2 |
1710i1 |
1710.k |
1710i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{2} \cdot 3^{20} \cdot 5 \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4480$ |
$1.170803$ |
$-341370886042369/1817528220$ |
$1.07626$ |
$5.38198$ |
$[1, -1, 0, -13104, 583308]$ |
\(y^2+xy=x^3-x^2-13104x+583308\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[]$ |
1710.l1 |
1710n4 |
1710.l |
1710n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.534795853$ |
$1$ |
|
$4$ |
$4096$ |
$0.953994$ |
$100162392144121/23457780$ |
$0.97072$ |
$5.21604$ |
$[1, -1, 1, -8708, 314867]$ |
\(y^2+xy+y=x^3-x^2-8708x+314867\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$ |
$[(57, 7)]$ |
1710.l2 |
1710n3 |
1710.l |
1710n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{14} \cdot 5^{4} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$1.534795853$ |
$1$ |
|
$4$ |
$4096$ |
$0.953994$ |
$9912050027641/311647500$ |
$0.95744$ |
$4.90532$ |
$[1, -1, 1, -4028, -94669]$ |
\(y^2+xy+y=x^3-x^2-4028x-94669\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.z.1, 76.12.0.?, $\ldots$ |
$[(-35, 67)]$ |
1710.l3 |
1710n2 |
1710.l |
1710n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$0.767397926$ |
$1$ |
|
$12$ |
$2048$ |
$0.607420$ |
$34043726521/11696400$ |
$0.92900$ |
$4.14314$ |
$[1, -1, 1, -608, 3827]$ |
\(y^2+xy+y=x^3-x^2-608x+3827\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.2, 76.12.0.?, $\ldots$ |
$[(3, 43)]$ |
1710.l4 |
1710n1 |
1710.l |
1710n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$0.383698963$ |
$1$ |
|
$11$ |
$1024$ |
$0.260847$ |
$214921799/218880$ |
$0.88983$ |
$3.46273$ |
$[1, -1, 1, 112, 371]$ |
\(y^2+xy+y=x^3-x^2+112x+371\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(3, 25)]$ |
1710.m1 |
1710l2 |
1710.m |
1710l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.295123944$ |
$1$ |
|
$12$ |
$3840$ |
$1.060610$ |
$260549802603/104256800$ |
$1.06336$ |
$4.85926$ |
$[1, -1, 1, -3593, -45143]$ |
\(y^2+xy+y=x^3-x^2-3593x-45143\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[(-37, 208)]$ |
1710.m2 |
1710l1 |
1710.m |
1710l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$0.590247888$ |
$1$ |
|
$9$ |
$1920$ |
$0.714036$ |
$2161700757/1848320$ |
$1.04165$ |
$4.21556$ |
$[1, -1, 1, 727, -5399]$ |
\(y^2+xy+y=x^3-x^2+727x-5399\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[(23, 140)]$ |
1710.n1 |
1710p2 |
1710.n |
1710p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{2} \cdot 3^{8} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.797372$ |
$6947097508441/10687500$ |
$0.95430$ |
$4.85758$ |
$[1, -1, 1, -3578, -81363]$ |
\(y^2+xy+y=x^3-x^2-3578x-81363\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
1710.n2 |
1710p1 |
1710.n |
1710p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.450798$ |
$-594823321/2166000$ |
$1.06643$ |
$3.86638$ |
$[1, -1, 1, -158, -2019]$ |
\(y^2+xy+y=x^3-x^2-158x-2019\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
1710.o1 |
1710o4 |
1710.o |
1710o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 19^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$6912$ |
$1.668406$ |
$46237740924063961/1806561830400$ |
$1.00221$ |
$6.04013$ |
$[1, -1, 1, -67298, 6505697]$ |
\(y^2+xy+y=x^3-x^2-67298x+6505697\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.ca.1.15, 380.6.0.?, $\ldots$ |
$[]$ |
1710.o2 |
1710o2 |
1710.o |
1710o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$1.119099$ |
$148212258825961/1218375000$ |
$0.97315$ |
$5.26868$ |
$[1, -1, 1, -9923, -375253]$ |
\(y^2+xy+y=x^3-x^2-9923x-375253\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.ca.1.7, 380.6.0.?, $\ldots$ |
$[]$ |
1710.o3 |
1710o1 |
1710.o |
1710o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{6} \cdot 3^{12} \cdot 5^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$0.772526$ |
$-1263214441/110808000$ |
$0.98712$ |
$4.37603$ |
$[1, -1, 1, -203, -13669]$ |
\(y^2+xy+y=x^3-x^2-203x-13669\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 24.48.0-24.cd.1.11, 190.6.0.?, $\ldots$ |
$[]$ |
1710.o4 |
1710o3 |
1710.o |
1710o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{18} \cdot 3^{8} \cdot 5 \cdot 19^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$3456$ |
$1.321833$ |
$918046641959/80912056320$ |
$1.02394$ |
$5.25996$ |
$[1, -1, 1, 1822, 367841]$ |
\(y^2+xy+y=x^3-x^2+1822x+367841\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 24.48.0-24.cd.1.15, 190.6.0.?, $\ldots$ |
$[]$ |
1710.p1 |
1710m2 |
1710.p |
1710m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{4} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.108207119$ |
$1$ |
|
$14$ |
$1280$ |
$0.405006$ |
$651038076963/7220000$ |
$1.04112$ |
$4.09681$ |
$[1, -1, 1, -542, 4941]$ |
\(y^2+xy+y=x^3-x^2-542x+4941\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(11, 9)]$ |
1710.p2 |
1710m1 |
1710.p |
1710m |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$0.216414238$ |
$1$ |
|
$13$ |
$640$ |
$0.058433$ |
$961504803/486400$ |
$0.92981$ |
$3.22126$ |
$[1, -1, 1, -62, -51]$ |
\(y^2+xy+y=x^3-x^2-62x-51\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-3, 11)]$ |
1710.q1 |
1710t2 |
1710.q |
1710t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.055865623$ |
$1$ |
|
$24$ |
$5376$ |
$1.218822$ |
$882774443450089/2166000000$ |
$0.98264$ |
$5.50838$ |
$[1, -1, 1, -17987, 931011]$ |
\(y^2+xy+y=x^3-x^2-17987x+931011\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(71, 54)]$ |
1710.q2 |
1710t1 |
1710.q |
1710t |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.111731246$ |
$1$ |
|
$19$ |
$2688$ |
$0.872250$ |
$-53540005609/350208000$ |
$0.96547$ |
$4.54112$ |
$[1, -1, 1, -707, 25539]$ |
\(y^2+xy+y=x^3-x^2-707x+25539\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(-13, 186)]$ |
1710.r1 |
1710q1 |
1710.r |
1710q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2 \cdot 3^{6} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$240$ |
$-0.195658$ |
$357911/950$ |
$0.81125$ |
$2.77488$ |
$[1, -1, 1, 13, -39]$ |
\(y^2+xy+y=x^3-x^2+13x-39\) |
152.2.0.? |
$[]$ |
1710.s1 |
1710r2 |
1710.s |
1710r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3072$ |
$0.993297$ |
$468898230633769/5540400$ |
$0.97926$ |
$5.42339$ |
$[1, -1, 1, -14567, -673041]$ |
\(y^2+xy+y=x^3-x^2-14567x-673041\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[]$ |
1710.s2 |
1710r1 |
1710.s |
1710r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 19 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.646724$ |
$-105756712489/12476160$ |
$0.92671$ |
$4.32033$ |
$[1, -1, 1, -887, -10929]$ |
\(y^2+xy+y=x^3-x^2-887x-10929\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[]$ |