| 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 |
| 422331.a1 |
422331a1 |
422331.a |
422331a |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{6} \cdot 13^{2} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.952670044$ |
$1$ |
|
$8$ |
$328320$ |
$0.424301$ |
$-53248/51$ |
$0.69749$ |
$2.21287$ |
$[0, -1, 1, -212, -1870]$ |
\(y^2+y=x^3-x^2-212x-1870\) |
102.2.0.? |
$[(19, 24), (117, 1249)]$ |
| 422331.b1 |
422331b1 |
422331.b |
422331b |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{6} \cdot 7^{7} \cdot 13^{7} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.418643060$ |
$1$ |
|
$24$ |
$33288192$ |
$2.832211$ |
$-2731787761881088/19171971$ |
$0.92571$ |
$4.83334$ |
$[0, -1, 1, -24117032, 45594570062]$ |
\(y^2+y=x^3-x^2-24117032x+45594570062\) |
182.2.0.? |
$[(2791, 4140), (3974, 111793)]$ |
| 422331.c1 |
422331c1 |
422331.c |
422331c |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{4} \cdot 13^{7} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$0.443682537$ |
$1$ |
|
$16$ |
$2838528$ |
$1.661182$ |
$15957372928/17901$ |
$0.92271$ |
$3.60261$ |
$[0, -1, 1, -118694, 15763880]$ |
\(y^2+y=x^3-x^2-118694x+15763880\) |
442.2.0.? |
$[(230, 760), (61, 2957)]$ |
| 422331.d1 |
422331d1 |
422331.d |
422331d |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{10} \cdot 13^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1.184895636$ |
$1$ |
|
$4$ |
$99574272$ |
$3.166286$ |
$776703004672/97144749$ |
$0.90418$ |
$4.80387$ |
$[0, -1, 1, -21235244, -33339938500]$ |
\(y^2+y=x^3-x^2-21235244x-33339938500\) |
442.2.0.? |
$[(-2266, 56023)]$ |
| 422331.e1 |
422331e1 |
422331.e |
422331e |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{8} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$3.010129069$ |
$1$ |
|
$2$ |
$5391360$ |
$2.067181$ |
$841232384/722211$ |
$0.90829$ |
$3.67587$ |
$[0, -1, 1, 162860, 17536014]$ |
\(y^2+y=x^3-x^2+162860x+17536014\) |
102.2.0.? |
$[(663, 20408)]$ |
| 422331.f1 |
422331f1 |
422331.f |
422331f |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{2} \cdot 13^{11} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14192640$ |
$2.324223$ |
$6441016595550208/511270461$ |
$0.94916$ |
$4.29867$ |
$[0, -1, 1, -2397152, 1429238306]$ |
\(y^2+y=x^3-x^2-2397152x+1429238306\) |
442.2.0.? |
$[]$ |
| 422331.g1 |
422331g1 |
422331.g |
422331g |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{11} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$3.566240269$ |
$1$ |
|
$0$ |
$99348480$ |
$3.297176$ |
$6441016595550208/511270461$ |
$0.94916$ |
$5.20000$ |
$[0, 1, 1, -117460464, -489993818128]$ |
\(y^2+y=x^3+x^2-117460464x-489993818128\) |
442.2.0.? |
$[(-56657/3, 71389/3)]$ |
| 422331.h1 |
422331h1 |
422331.h |
422331h |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{6} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.356534264$ |
$1$ |
|
$2$ |
$5660928$ |
$1.876303$ |
$-53248/459$ |
$0.79514$ |
$3.53909$ |
$[0, 1, 1, -35884, -10443338]$ |
\(y^2+y=x^3+x^2-35884x-10443338\) |
102.2.0.? |
$[(1577, 62107)]$ |
| 422331.i1 |
422331i1 |
422331.i |
422331i |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{13} \cdot 7^{16} \cdot 13^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$14.46523752$ |
$1$ |
|
$0$ |
$1736616960$ |
$4.838074$ |
$177997182325354496/7656065368994259$ |
$1.05416$ |
$6.27939$ |
$[0, 1, 1, 2966450184, -532512251582398]$ |
\(y^2+y=x^3+x^2+2966450184x-532512251582398\) |
102.2.0.? |
$[(5081613/2, 11464233113/2)]$ |
| 422331.j1 |
422331j1 |
422331.j |
422331j |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{22} \cdot 7^{7} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.277823692$ |
$1$ |
|
$10$ |
$263983104$ |
$3.819130$ |
$-1302227927110660096/825290486657091$ |
$0.97155$ |
$5.36651$ |
$[0, 1, 1, -188395510, -1440714096272]$ |
\(y^2+y=x^3+x^2-188395510x-1440714096272\) |
182.2.0.? |
$[(91121, 27165820)]$ |
| 422331.k1 |
422331k1 |
422331.k |
422331k |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{10} \cdot 13^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$6.803201619$ |
$1$ |
|
$0$ |
$19869696$ |
$2.634136$ |
$15957372928/17901$ |
$0.92271$ |
$4.50394$ |
$[0, 1, 1, -5816022, -5395378894]$ |
\(y^2+y=x^3+x^2-5816022x-5395378894\) |
442.2.0.? |
$[(-68925/7, 721036/7)]$ |
| 422331.l1 |
422331l1 |
422331.l |
422331l |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{4} \cdot 13^{9} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$442$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14224896$ |
$2.193329$ |
$776703004672/97144749$ |
$0.90418$ |
$3.90253$ |
$[0, 1, 1, -433372, 97077166]$ |
\(y^2+y=x^3+x^2-433372x+97077166\) |
442.2.0.? |
$[]$ |
| 422331.m1 |
422331m1 |
422331.m |
422331m |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{6} \cdot 13^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$18.34938963$ |
$1$ |
|
$0$ |
$22445280$ |
$2.367535$ |
$-692224/867$ |
$0.84130$ |
$4.00852$ |
$[0, 1, 1, -466496, 217996328]$ |
\(y^2+y=x^3+x^2-466496x+217996328\) |
6.2.0.a.1 |
$[(345983437/378, 6226825651129/378)]$ |
| 422331.n1 |
422331n1 |
422331.n |
422331n |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{10} \cdot 13^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3943296$ |
$1.978542$ |
$-129390625/7803$ |
$0.93262$ |
$3.74387$ |
$[1, 1, 1, -211338, -39383310]$ |
\(y^2+xy+y=x^3+x^2-211338x-39383310\) |
6.2.0.a.1 |
$[]$ |
| 422331.o1 |
422331o1 |
422331.o |
422331o |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{3} \cdot 7^{7} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1.691459634$ |
$1$ |
|
$3$ |
$6193152$ |
$2.126709$ |
$10431681625/710073$ |
$0.81522$ |
$3.87024$ |
$[1, 1, 1, -376958, -83835718]$ |
\(y^2+xy+y=x^3+x^2-376958x-83835718\) |
2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.? |
$[(1175, 32536)]$ |
| 422331.o2 |
422331o2 |
422331.o |
422331o |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{6} \cdot 7^{8} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$3.382919269$ |
$1$ |
|
$0$ |
$12386304$ |
$2.473282$ |
$6804992375/102626433$ |
$0.87463$ |
$4.08594$ |
$[1, 1, 1, 326927, -360040192]$ |
\(y^2+xy+y=x^3+x^2+326927x-360040192\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[(12071/2, 1329447/2)]$ |
| 422331.p1 |
422331p1 |
422331.p |
422331p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{2} \cdot 7^{2} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.778402173$ |
$1$ |
|
$2$ |
$711360$ |
$1.134249$ |
$11375/153$ |
$0.73590$ |
$2.84498$ |
$[1, 1, 1, 1602, 117060]$ |
\(y^2+xy+y=x^3+x^2+1602x+117060\) |
68.2.0.a.1 |
$[(70, 725)]$ |
| 422331.q1 |
422331q2 |
422331.q |
422331q |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{9} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$4.509057494$ |
$1$ |
|
$2$ |
$5750784$ |
$2.257130$ |
$8615125/2601$ |
$0.84733$ |
$3.91623$ |
$[1, 1, 1, -459768, 82794564]$ |
\(y^2+xy+y=x^3+x^2-459768x+82794564\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(-722, 6608)]$ |
| 422331.q2 |
422331q1 |
422331.q |
422331q |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{6} \cdot 13^{9} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$9.018114989$ |
$1$ |
|
$1$ |
$2875392$ |
$1.910555$ |
$42875/51$ |
$0.76818$ |
$3.51101$ |
$[1, 1, 1, 78497, 8729300]$ |
\(y^2+xy+y=x^3+x^2+78497x+8729300\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(-2186/5, 142703/5)]$ |
| 422331.r1 |
422331r1 |
422331.r |
422331r |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3714048$ |
$2.096100$ |
$-50308609/2499$ |
$0.77125$ |
$3.86080$ |
$[1, 1, 1, -352115, 83655788]$ |
\(y^2+xy+y=x^3+x^2-352115x+83655788\) |
102.2.0.? |
$[]$ |
| 422331.s1 |
422331s2 |
422331.s |
422331s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3 \cdot 7^{9} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$7741440$ |
$2.191982$ |
$423564751/867$ |
$0.89682$ |
$4.07356$ |
$[1, 1, 1, -906942, -332232594]$ |
\(y^2+xy+y=x^3+x^2-906942x-332232594\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 422331.s2 |
422331s1 |
422331.s |
422331s |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{2} \cdot 7^{9} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$3870720$ |
$1.845407$ |
$-29791/153$ |
$0.82150$ |
$3.51215$ |
$[1, 1, 1, -37437, -8776734]$ |
\(y^2+xy+y=x^3+x^2-37437x-8776734\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[]$ |
| 422331.t1 |
422331t1 |
422331.t |
422331t |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3 \cdot 7^{2} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$3.145098891$ |
$1$ |
|
$2$ |
$393120$ |
$0.645108$ |
$208537/51$ |
$0.77253$ |
$2.43404$ |
$[1, 1, 1, -764, 5858]$ |
\(y^2+xy+y=x^3+x^2-764x+5858\) |
204.2.0.? |
$[(8, 14)]$ |
| 422331.u1 |
422331u2 |
422331.u |
422331u |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{12} \cdot 7^{6} \cdot 13^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$0.553741437$ |
$1$ |
|
$10$ |
$34836480$ |
$2.732174$ |
$3885442650361/1996623837$ |
$0.95822$ |
$4.32726$ |
$[1, 0, 0, -2712200, 575204811]$ |
\(y^2+xy=x^3-2712200x+575204811\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(-311, 37420)]$ |
| 422331.u2 |
422331u1 |
422331.u |
422331u |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{6} \cdot 7^{6} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$1.107482874$ |
$1$ |
|
$7$ |
$17418240$ |
$2.385601$ |
$2000852317801/2094417$ |
$0.91984$ |
$4.27603$ |
$[1, 0, 0, -2173935, 1232426376]$ |
\(y^2+xy=x^3-2173935x+1232426376\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(1041, 9366)]$ |
| 422331.v1 |
422331v1 |
422331.v |
422331v |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3 \cdot 7^{8} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$204$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2751840$ |
$1.618063$ |
$208537/51$ |
$0.77253$ |
$3.33537$ |
$[1, 0, 0, -37437, -2121666]$ |
\(y^2+xy=x^3-37437x-2121666\) |
204.2.0.? |
$[]$ |
| 422331.w1 |
422331w2 |
422331.w |
422331w |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3 \cdot 7^{3} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1105920$ |
$1.219025$ |
$423564751/867$ |
$0.89682$ |
$3.17223$ |
$[1, 0, 0, -18509, 965964]$ |
\(y^2+xy=x^3-18509x+965964\) |
2.3.0.a.1, 42.6.0.a.1, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[]$ |
| 422331.w2 |
422331w1 |
422331.w |
422331w |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{2} \cdot 7^{3} \cdot 13^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$0.872452$ |
$-29791/153$ |
$0.82150$ |
$2.61082$ |
$[1, 0, 0, -764, 25479]$ |
\(y^2+xy=x^3-764x+25479\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[]$ |
| 422331.x1 |
422331x1 |
422331.x |
422331x |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{6} \cdot 13^{10} \cdot 17^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$14.15256699$ |
$1$ |
|
$0$ |
$50544000$ |
$3.246109$ |
$2307174311/38336139$ |
$0.99242$ |
$4.80225$ |
$[1, 0, 0, 6968289, 37271967732]$ |
\(y^2+xy=x^3+6968289x+37271967732\) |
102.2.0.? |
$[(-409377/62, 45563061483/62)]$ |
| 422331.y1 |
422331y1 |
422331.y |
422331y |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{4} \cdot 13^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.314790385$ |
$1$ |
|
$6$ |
$563328$ |
$1.005587$ |
$-129390625/7803$ |
$0.93262$ |
$2.84254$ |
$[1, 0, 0, -4313, 114204]$ |
\(y^2+xy=x^3-4313x+114204\) |
6.2.0.a.1 |
$[(1, 331)]$ |
| 422331.z1 |
422331z1 |
422331.z |
422331z |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{2} \cdot 7^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4979520$ |
$2.107204$ |
$11375/153$ |
$0.73590$ |
$3.74631$ |
$[1, 0, 0, 78497, -39916150]$ |
\(y^2+xy=x^3+78497x-39916150\) |
68.2.0.a.1 |
$[]$ |
| 422331.ba1 |
422331ba1 |
422331.ba |
422331ba |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{5} \cdot 7^{8} \cdot 13^{6} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9828000$ |
$2.247002$ |
$-629407744/70227$ |
$1.24254$ |
$3.96753$ |
$[0, -1, 1, -541025, -167105443]$ |
\(y^2+y=x^3-x^2-541025x-167105443\) |
6.2.0.a.1 |
$[]$ |
| 422331.bb1 |
422331bb1 |
422331.bb |
422331bb |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$22.25399459$ |
$1$ |
|
$0$ |
$18330624$ |
$2.777428$ |
$-44226936832/16395939$ |
$0.89058$ |
$4.41599$ |
$[0, -1, 1, -3373127, -3053091910]$ |
\(y^2+y=x^3-x^2-3373127x-3053091910\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 102.8.0.?, 714.16.0.? |
$[(3222440200/1117, 102946036669445/1117)]$ |
| 422331.bb2 |
422331bb2 |
422331.bb |
422331bb |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{12} \cdot 13^{8} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$714$ |
$16$ |
$0$ |
$7.417998199$ |
$1$ |
|
$2$ |
$54991872$ |
$3.326733$ |
$19545301188608/15606257499$ |
$0.98911$ |
$4.84800$ |
$[0, -1, 1, 25693183, 30881825015]$ |
\(y^2+y=x^3-x^2+25693183x+30881825015\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 102.8.0.?, 714.16.0.? |
$[(7513, 804941)]$ |
| 422331.bc1 |
422331bc1 |
422331.bc |
422331bc |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{2} \cdot 7^{3} \cdot 13^{7} \cdot 17^{4} \) |
$3$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.631495168$ |
$1$ |
|
$32$ |
$3526656$ |
$1.877785$ |
$-239251750912/9771957$ |
$0.92928$ |
$3.66667$ |
$[0, -1, 1, -153001, 23885175]$ |
\(y^2+y=x^3-x^2-153001x+23885175\) |
182.2.0.? |
$[(35, 4309), (-407, 4309), (3433/4, 60301/4)]$ |
| 422331.bd1 |
422331bd1 |
422331.bd |
422331bd |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9282$ |
$16$ |
$0$ |
$17.66434537$ |
$1$ |
|
$0$ |
$1410048$ |
$1.494953$ |
$-44226936832/16395939$ |
$0.89058$ |
$3.22792$ |
$[0, -1, 1, -19959, -1383523]$ |
\(y^2+y=x^3-x^2-19959x-1383523\) |
3.4.0.a.1, 102.8.0.?, 273.8.0.?, 9282.16.0.? |
$[(41435285/254, 259250317617/254)]$ |
| 422331.bd2 |
422331bd2 |
422331.bd |
422331bd |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{12} \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9282$ |
$16$ |
$0$ |
$5.888115125$ |
$1$ |
|
$0$ |
$4230144$ |
$2.044258$ |
$19545301188608/15606257499$ |
$0.98911$ |
$3.65993$ |
$[0, -1, 1, 152031, 14009582]$ |
\(y^2+y=x^3-x^2+152031x+14009582\) |
3.4.0.a.1, 102.8.0.?, 273.8.0.?, 9282.16.0.? |
$[(1085/2, 69339/2)]$ |
| 422331.be1 |
422331be2 |
422331.be |
422331be |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{6} \cdot 13^{6} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9282$ |
$16$ |
$0$ |
$3.378357304$ |
$1$ |
|
$0$ |
$4043520$ |
$1.996206$ |
$-23100424192/14739$ |
$1.03897$ |
$3.93169$ |
$[0, -1, 1, -491339, 132799253]$ |
\(y^2+y=x^3-x^2-491339x+132799253\) |
3.4.0.a.1, 102.8.0.?, 273.8.0.?, 9282.16.0.? |
$[(1021/2, 39147/2)]$ |
| 422331.be2 |
422331be1 |
422331.be |
422331be |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{3} \cdot 7^{6} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9282$ |
$16$ |
$0$ |
$10.13507191$ |
$1$ |
|
$0$ |
$1347840$ |
$1.446899$ |
$32768/459$ |
$1.01165$ |
$3.13480$ |
$[0, -1, 1, 5521, 758708]$ |
\(y^2+y=x^3-x^2+5521x+758708\) |
3.4.0.a.1, 102.8.0.?, 273.8.0.?, 9282.16.0.? |
$[(142861/22, 56355995/22)]$ |
| 422331.bf1 |
422331bf1 |
422331.bf |
422331bf |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{2} \cdot 7^{9} \cdot 13^{7} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$9.114191965$ |
$1$ |
|
$0$ |
$24686592$ |
$2.850742$ |
$-239251750912/9771957$ |
$0.92928$ |
$4.56801$ |
$[0, 1, 1, -7497065, -8177620993]$ |
\(y^2+y=x^3+x^2-7497065x-8177620993\) |
182.2.0.? |
$[(48148279/101, 255734208776/101)]$ |
| 422331.bg1 |
422331bg1 |
422331.bg |
422331bg |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{17} \cdot 7^{10} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$5.967686088$ |
$1$ |
|
$2$ |
$58595328$ |
$3.383251$ |
$5009339741732864/5271114033171$ |
$1.04955$ |
$4.88015$ |
$[0, 1, 1, 29519005, -55831662337]$ |
\(y^2+y=x^3+x^2+29519005x-55831662337\) |
102.2.0.? |
$[(38467, 7615849)]$ |
| 422331.bh1 |
422331bh1 |
422331.bh |
422331bh |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{10} \cdot 13^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$15.32790892$ |
$1$ |
|
$0$ |
$3151872$ |
$1.914816$ |
$-16777216/122451$ |
$1.06893$ |
$3.57521$ |
$[0, 1, 1, -44165, 13165793]$ |
\(y^2+y=x^3+x^2-44165x+13165793\) |
102.2.0.? |
$[(912459/293, 89619872633/293)]$ |
| 422331.bi1 |
422331bi1 |
422331.bi |
422331bi |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{5} \cdot 7^{2} \cdot 13^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.763937320$ |
$1$ |
|
$2$ |
$1404000$ |
$1.274048$ |
$-629407744/70227$ |
$1.24254$ |
$3.06620$ |
$[0, 1, 1, -11041, 484033]$ |
\(y^2+y=x^3+x^2-11041x+484033\) |
6.2.0.a.1 |
$[(83, 382)]$ |
| 422331.bj1 |
422331bj1 |
422331.bj |
422331bj |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{5} \cdot 7^{7} \cdot 13^{7} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18063360$ |
$2.504078$ |
$10418796526321/6390657$ |
$0.87866$ |
$4.40341$ |
$[1, 1, 0, -3768027, -2815342200]$ |
\(y^2+xy=x^3+x^2-3768027x-2815342200\) |
2.3.0.a.1, 68.6.0.b.1, 546.6.0.?, 18564.12.0.? |
$[]$ |
| 422331.bj2 |
422331bj2 |
422331.bj |
422331bj |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3^{10} \cdot 7^{8} \cdot 13^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$18564$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36126720$ |
$2.850651$ |
$-5602762882081/8312741073$ |
$0.89460$ |
$4.45363$ |
$[1, 1, 0, -3064142, -3898621215]$ |
\(y^2+xy=x^3+x^2-3064142x-3898621215\) |
2.3.0.a.1, 68.6.0.a.1, 1092.6.0.?, 18564.12.0.? |
$[]$ |
| 422331.bk1 |
422331bk1 |
422331.bk |
422331bk |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{8} \cdot 13^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$285696$ |
$0.813627$ |
$-50308609/2499$ |
$0.77125$ |
$2.67274$ |
$[1, 1, 0, -2083, 37276]$ |
\(y^2+xy=x^3+x^2-2083x+37276\) |
102.2.0.? |
$[]$ |
| 422331.bl1 |
422331bl2 |
422331.bl |
422331bl |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{3} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$1.711492095$ |
$1$ |
|
$4$ |
$442368$ |
$0.974653$ |
$8615125/2601$ |
$0.84733$ |
$2.72816$ |
$[1, 1, 0, -2720, 36639]$ |
\(y^2+xy=x^3+x^2-2720x+36639\) |
2.3.0.a.1, 26.6.0.b.1, 204.6.0.?, 2652.12.0.? |
$[(70, 407)]$ |
| 422331.bl2 |
422331bl1 |
422331.bl |
422331bl |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( - 3 \cdot 7^{6} \cdot 13^{3} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2652$ |
$12$ |
$0$ |
$3.422984191$ |
$1$ |
|
$3$ |
$221184$ |
$0.628079$ |
$42875/51$ |
$0.76818$ |
$2.32294$ |
$[1, 1, 0, 465, 4152]$ |
\(y^2+xy=x^3+x^2+465x+4152\) |
2.3.0.a.1, 52.6.0.c.1, 204.6.0.?, 1326.6.0.?, 2652.12.0.? |
$[(8, 88)]$ |
| 422331.bm1 |
422331bm2 |
422331.bm |
422331bm |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{8} \cdot 7^{6} \cdot 13^{7} \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$12.21697675$ |
$1$ |
|
$4$ |
$7741440$ |
$2.385326$ |
$104154702625/24649677$ |
$0.90385$ |
$4.04787$ |
$[1, 1, 0, -811710, -216739557]$ |
\(y^2+xy=x^3+x^2-811710x-216739557\) |
2.3.0.a.1, 26.6.0.b.1, 68.6.0.c.1, 884.12.0.? |
$[(-658, 6075), (-1557/2, 52425/2)]$ |
| 422331.bm2 |
422331bm1 |
422331.bm |
422331bm |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \cdot 17 \) |
\( 3^{4} \cdot 7^{6} \cdot 13^{8} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$884$ |
$12$ |
$0$ |
$12.21697675$ |
$1$ |
|
$5$ |
$3870720$ |
$2.038754$ |
$3981876625/232713$ |
$0.86491$ |
$3.79589$ |
$[1, 1, 0, -273445, 52069984]$ |
\(y^2+xy=x^3+x^2-273445x+52069984\) |
2.3.0.a.1, 34.6.0.a.1, 52.6.0.c.1, 884.12.0.? |
$[(160, 3448), (3060, 165442)]$ |
