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 |
37905.a1 |
37905d1 |
37905.a |
37905d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{5} \cdot 7^{3} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1048800$ |
$2.137531$ |
$-122023936/3215625$ |
$0.94317$ |
$4.64390$ |
$[0, -1, 1, -70876, 49568532]$ |
\(y^2+y=x^3-x^2-70876x+49568532\) |
3990.2.0.? |
$[]$ |
37905.b1 |
37905u1 |
37905.b |
37905u |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{8} \cdot 5^{7} \cdot 7^{2} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.067482853$ |
$1$ |
|
$38$ |
$177408$ |
$1.287424$ |
$1616731009970176/25116328125$ |
$0.97576$ |
$3.88018$ |
$[0, 1, 1, -17410, 866464]$ |
\(y^2+y=x^3+x^2-17410x+866464\) |
10.2.0.a.1 |
$[(41, 472), (1601/4, 23593/4)]$ |
37905.c1 |
37905r1 |
37905.c |
37905r |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{17} \cdot 5 \cdot 7^{5} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$1.809070942$ |
$1$ |
|
$4$ |
$10077600$ |
$3.388527$ |
$1410957725696/10852293597705$ |
$1.10936$ |
$6.06763$ |
$[0, 1, 1, 1602720, 90031883636]$ |
\(y^2+y=x^3+x^2+1602720x+90031883636\) |
3990.2.0.? |
$[(-4212, 92596)]$ |
37905.d1 |
37905c1 |
37905.d |
37905c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147744$ |
$1.481846$ |
$463391/23625$ |
$0.85840$ |
$3.89543$ |
$[1, 1, 1, 4144, 959978]$ |
\(y^2+xy+y=x^3+x^2+4144x+959978\) |
420.2.0.? |
$[]$ |
37905.e1 |
37905f2 |
37905.e |
37905f |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.428717641$ |
$1$ |
|
$26$ |
$38400$ |
$0.797835$ |
$2009438972659/275625$ |
$0.93106$ |
$3.52488$ |
$[1, 1, 1, -4995, 133782]$ |
\(y^2+xy+y=x^3+x^2-4995x+133782\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(42, -4), (7, 311)]$ |
37905.e2 |
37905f1 |
37905.e |
37905f |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5^{2} \cdot 7^{4} \cdot 19^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.714870565$ |
$1$ |
|
$13$ |
$19200$ |
$0.451262$ |
$633839779/180075$ |
$0.86719$ |
$2.76023$ |
$[1, 1, 1, -340, 1580]$ |
\(y^2+xy+y=x^3+x^2-340x+1580\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(-2, 48), (7/3, 956/3)]$ |
37905.f1 |
37905l4 |
37905.f |
37905l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{20} \cdot 5^{8} \cdot 7^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30412800$ |
$4.147102$ |
$1858368248693819973741961/457764396920504296875$ |
$1.02381$ |
$6.97615$ |
$[1, 1, 1, -924648260, -8202026476510]$ |
\(y^2+xy+y=x^3+x^2-924648260x-8202026476510\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.1, 76.24.0.?, 456.48.0.? |
$[]$ |
37905.f2 |
37905l2 |
37905.f |
37905l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 7^{4} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$228$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$15206400$ |
$3.800526$ |
$75596184328076883820441/4168754598395480625$ |
$1.01033$ |
$6.67243$ |
$[1, 1, 1, -318004005, 2075983149402]$ |
\(y^2+xy+y=x^3+x^2-318004005x+2075983149402\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.3, 76.24.0.?, 228.48.0.? |
$[]$ |
37905.f3 |
37905l1 |
37905.f |
37905l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{5} \cdot 5^{2} \cdot 7^{8} \cdot 19^{9} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7603200$ |
$3.453953$ |
$72547406094380206981321/240210178108425$ |
$1.00923$ |
$6.66852$ |
$[1, 1, 1, -313670200, 2138110844360]$ |
\(y^2+xy+y=x^3+x^2-313670200x+2138110844360\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.9, 114.6.0.?, 152.24.0.?, $\ldots$ |
$[]$ |
37905.f4 |
37905l3 |
37905.f |
37905l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{5} \cdot 5^{2} \cdot 7^{2} \cdot 19^{18} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$456$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$30412800$ |
$4.147102$ |
$24792153857163653065559/658848518533019475675$ |
$1.04189$ |
$6.92758$ |
$[1, 1, 1, 219299370, 8377906974102]$ |
\(y^2+xy+y=x^3+x^2+219299370x+8377906974102\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.5, 12.12.0.g.1, $\ldots$ |
$[]$ |
37905.g1 |
37905k4 |
37905.g |
37905k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5^{4} \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.306257$ |
$157551496201/13125$ |
$0.96087$ |
$4.12125$ |
$[1, 1, 1, -40620, 3133920]$ |
\(y^2+xy+y=x^3+x^2-40620x+3133920\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 42.6.0.a.1, 76.12.0.?, $\ldots$ |
$[]$ |
37905.g2 |
37905k2 |
37905.g |
37905k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$7980$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$48384$ |
$0.959683$ |
$47045881/11025$ |
$1.04751$ |
$3.35140$ |
$[1, 1, 1, -2715, 40872]$ |
\(y^2+xy+y=x^3+x^2-2715x+40872\) |
2.6.0.a.1, 20.12.0.a.1, 76.12.0.?, 84.12.0.?, 380.24.0.?, $\ldots$ |
$[]$ |
37905.g3 |
37905k1 |
37905.g |
37905k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5 \cdot 7 \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$24192$ |
$0.613111$ |
$1771561/105$ |
$0.96659$ |
$3.04036$ |
$[1, 1, 1, -910, -10390]$ |
\(y^2+xy+y=x^3+x^2-910x-10390\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 152.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
37905.g4 |
37905k3 |
37905.g |
37905k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{4} \cdot 5 \cdot 7^{4} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$15960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.306257$ |
$590589719/972405$ |
$0.94478$ |
$3.64948$ |
$[1, 1, 1, 6310, 264692]$ |
\(y^2+xy+y=x^3+x^2+6310x+264692\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 76.12.0.?, 168.12.0.?, $\ldots$ |
$[]$ |
37905.h1 |
37905v1 |
37905.h |
37905v |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{5} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$684000$ |
$2.305279$ |
$-526401738615601/65625$ |
$0.95330$ |
$5.44944$ |
$[1, 0, 0, -4323885, 3460303122]$ |
\(y^2+xy=x^3-4323885x+3460303122\) |
420.2.0.? |
$[]$ |
37905.i1 |
37905a1 |
37905.i |
37905a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{2} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$372096$ |
$1.993156$ |
$94633984/19845$ |
$0.93650$ |
$4.53482$ |
$[0, -1, 1, -173761, -22204044]$ |
\(y^2+y=x^3-x^2-173761x-22204044\) |
10.2.0.a.1 |
$[]$ |
37905.j1 |
37905e3 |
37905.j |
37905e |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{9} \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$11970$ |
$144$ |
$3$ |
$3.282306969$ |
$1$ |
|
$2$ |
$1166400$ |
$2.623257$ |
$-9667735243366334464/779296875$ |
$1.04676$ |
$5.82215$ |
$[0, -1, 1, -16021661, 24688995392]$ |
\(y^2+y=x^3-x^2-16021661x+24688995392\) |
3.4.0.a.1, 9.12.0.a.1, 57.8.0-3.a.1.2, 171.24.0.?, 210.8.0.?, $\ldots$ |
$[(2844, 46027)]$ |
37905.j2 |
37905e2 |
37905.j |
37905e |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 7^{3} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$11970$ |
$144$ |
$3$ |
$1.094102323$ |
$1$ |
|
$2$ |
$388800$ |
$2.073952$ |
$-13117540040704/7940149875$ |
$0.94648$ |
$4.60858$ |
$[0, -1, 1, -177371, 41185751]$ |
\(y^2+y=x^3-x^2-177371x+41185751\) |
3.12.0.a.1, 57.24.0-3.a.1.1, 210.24.0.?, 1197.72.0.?, 3990.48.1.?, $\ldots$ |
$[(1761, 72019)]$ |
37905.j3 |
37905e1 |
37905.j |
37905e |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{9} \cdot 5 \cdot 7 \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$11970$ |
$144$ |
$3$ |
$3.282306969$ |
$1$ |
|
$0$ |
$129600$ |
$1.524645$ |
$12747309056/13089195$ |
$0.89432$ |
$3.88275$ |
$[0, -1, 1, 17569, -794578]$ |
\(y^2+y=x^3-x^2+17569x-794578\) |
3.4.0.a.1, 9.12.0.a.1, 57.8.0-3.a.1.1, 171.24.0.?, 210.8.0.?, $\ldots$ |
$[(717/2, 22739/2)]$ |
37905.k1 |
37905m1 |
37905.k |
37905m |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{4} \cdot 5 \cdot 7^{2} \cdot 19^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.241398498$ |
$1$ |
|
$16$ |
$19584$ |
$0.520937$ |
$94633984/19845$ |
$0.93650$ |
$2.85912$ |
$[0, 1, 1, -481, 3085]$ |
\(y^2+y=x^3+x^2-481x+3085\) |
10.2.0.a.1 |
$[(-13, 85), (5/2, 395/2)]$ |
37905.l1 |
37905s1 |
37905.l |
37905s |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5 \cdot 7^{7} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3990$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$181440$ |
$1.759174$ |
$18067226624/234709755$ |
$0.97002$ |
$4.20661$ |
$[0, 1, 1, 19735, 4948424]$ |
\(y^2+y=x^3+x^2+19735x+4948424\) |
3990.2.0.? |
$[]$ |
37905.m1 |
37905b4 |
37905.m |
37905b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{3} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1935360$ |
$2.743027$ |
$10625495353235512849/90517708575$ |
$1.03321$ |
$5.83111$ |
$[1, 1, 0, -16534168, -25884159203]$ |
\(y^2+xy=x^3+x^2-16534168x-25884159203\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0.h.1, 76.12.0.?, $\ldots$ |
$[]$ |
37905.m2 |
37905b3 |
37905.m |
37905b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5^{2} \cdot 7^{12} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$1935360$ |
$2.743027$ |
$112293400033564849/19723834261425$ |
$0.96161$ |
$5.39954$ |
$[1, 1, 0, -3628418, 2218625847]$ |
\(y^2+xy=x^3+x^2-3628418x+2218625847\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.ba.1, 76.12.0.?, $\ldots$ |
$[]$ |
37905.m3 |
37905b2 |
37905.m |
37905b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{6} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$967680$ |
$2.396454$ |
$2770485962938849/238901000625$ |
$0.93963$ |
$5.04840$ |
$[1, 1, 0, -1056293, -385907928]$ |
\(y^2+xy=x^3+x^2-1056293x-385907928\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.a.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
37905.m4 |
37905b1 |
37905.m |
37905b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{8} \cdot 7^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$483840$ |
$2.049881$ |
$871257511151/7637109375$ |
$0.92879$ |
$4.53477$ |
$[1, 1, 0, 71832, -27841053]$ |
\(y^2+xy=x^3+x^2+71832x-27841053\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.ba.1, 152.12.0.?, $\ldots$ |
$[]$ |
37905.n1 |
37905i1 |
37905.n |
37905i |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{5} \cdot 7 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36000$ |
$0.833060$ |
$-526401738615601/65625$ |
$0.95330$ |
$3.77374$ |
$[1, 1, 0, -11977, -509534]$ |
\(y^2+xy=x^3+x^2-11977x-509534\) |
420.2.0.? |
$[]$ |
37905.o1 |
37905j6 |
37905.o |
37905j |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5^{8} \cdot 7 \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1290240$ |
$2.636017$ |
$7316761561829228881/2961328125$ |
$0.97635$ |
$5.79572$ |
$[1, 1, 0, -14600652, 21467590599]$ |
\(y^2+xy=x^3+x^2-14600652x+21467590599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.7, 42.6.0.a.1, $\ldots$ |
$[]$ |
37905.o2 |
37905j4 |
37905.o |
37905j |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5 \cdot 7^{8} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.289444$ |
$10835086336331041/4928904855$ |
$0.94527$ |
$5.17775$ |
$[1, 1, 0, -1664217, -826717086]$ |
\(y^2+xy=x^3+x^2-1664217x-826717086\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 24.24.0-8.n.1.8, $\ldots$ |
$[]$ |
37905.o3 |
37905j3 |
37905.o |
37905j |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$645120$ |
$2.289444$ |
$1812322775712961/35919725625$ |
$0.93559$ |
$5.00814$ |
$[1, 1, 0, -916947, 331739856]$ |
\(y^2+xy=x^3+x^2-916947x+331739856\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.2, 40.24.0-4.b.1.5, 56.24.0-4.b.1.2, $\ldots$ |
$[]$ |
37905.o4 |
37905j2 |
37905.o |
37905j |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$322560$ |
$1.942869$ |
$4158523459441/1755191025$ |
$0.91224$ |
$4.43171$ |
$[1, 1, 0, -120942, -8472681]$ |
\(y^2+xy=x^3+x^2-120942x-8472681\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.2, 24.24.0-4.b.1.3, 56.24.0-4.b.1.3, $\ldots$ |
$[]$ |
37905.o5 |
37905j1 |
37905.o |
37905j |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{8} \cdot 5 \cdot 7^{2} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$1.596296$ |
$37899197279/30541455$ |
$0.87792$ |
$3.98610$ |
$[1, 1, 0, 25263, -957744]$ |
\(y^2+xy=x^3+x^2+25263x-957744\) |
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.1.12, $\ldots$ |
$[]$ |
37905.o6 |
37905j5 |
37905.o |
37905j |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{2} \cdot 7 \cdot 19^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1290240$ |
$2.636017$ |
$67867385039/8916370596525$ |
$1.05765$ |
$5.21115$ |
$[1, 1, 0, 30678, 985411581]$ |
\(y^2+xy=x^3+x^2+30678x+985411581\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0-8.n.1.3, 76.12.0.?, $\ldots$ |
$[]$ |
37905.p1 |
37905o4 |
37905.p |
37905o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{12} \cdot 5^{4} \cdot 7 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2764800$ |
$2.983170$ |
$2646218738827415809/303003411204375$ |
$0.97447$ |
$5.69925$ |
$[1, 0, 1, -10402584, 11565157171]$ |
\(y^2+xy+y=x^3-10402584x+11565157171\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0.h.1, 76.12.0.?, $\ldots$ |
$[]$ |
37905.p2 |
37905o2 |
37905.p |
37905o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1596$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1382400$ |
$2.636597$ |
$36982286260265809/5037219140625$ |
$0.95496$ |
$5.29420$ |
$[1, 0, 1, -2505709, -1335177829]$ |
\(y^2+xy+y=x^3-2505709x-1335177829\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0.a.1, 76.12.0.?, 84.24.0.?, $\ldots$ |
$[]$ |
37905.p3 |
37905o1 |
37905.p |
37905o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{3} \cdot 5^{4} \cdot 7^{4} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$691200$ |
$2.290024$ |
$33202753467020929/769820625$ |
$0.95121$ |
$5.28397$ |
$[1, 0, 1, -2417264, -1446724663]$ |
\(y^2+xy+y=x^3-2417264x-1446724663\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0.ba.1, 76.12.0.?, $\ldots$ |
$[]$ |
37905.p4 |
37905o3 |
37905.p |
37905o |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{3} \cdot 5^{16} \cdot 7 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$3192$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2764800$ |
$2.983170$ |
$147759857675855711/547943115234375$ |
$0.98363$ |
$5.58568$ |
$[1, 0, 1, 3976046, -7096161673]$ |
\(y^2+xy+y=x^3+3976046x-7096161673\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 56.12.0.ba.1, 152.12.0.?, $\ldots$ |
$[]$ |
37905.q1 |
37905p1 |
37905.q |
37905p |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 7 \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7776$ |
$0.009627$ |
$463391/23625$ |
$0.85840$ |
$2.21973$ |
$[1, 0, 1, 11, -139]$ |
\(y^2+xy+y=x^3+11x-139\) |
420.2.0.? |
$[]$ |
37905.r1 |
37905q2 |
37905.r |
37905q |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$7.882777874$ |
$1$ |
|
$2$ |
$729600$ |
$2.270054$ |
$2009438972659/275625$ |
$0.93106$ |
$5.20058$ |
$[1, 0, 1, -1803203, -932037577]$ |
\(y^2+xy+y=x^3-1803203x-932037577\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(22679, 3397905)]$ |
37905.r2 |
37905q1 |
37905.r |
37905q |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5^{2} \cdot 7^{4} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$15.76555574$ |
$1$ |
|
$1$ |
$364800$ |
$1.923481$ |
$633839779/180075$ |
$0.86719$ |
$4.43593$ |
$[1, 0, 1, -122748, -11820419]$ |
\(y^2+xy+y=x^3-122748x-11820419\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(106420795/137, 1088441427346/137)]$ |
37905.s1 |
37905t4 |
37905.s |
37905t |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3 \cdot 5^{2} \cdot 7 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$36$ |
$2, 3$ |
$0$ |
$1013760$ |
$2.463131$ |
$16651720753282540801/9975$ |
$0.97974$ |
$5.87372$ |
$[1, 0, 1, -19205208, -32396498669]$ |
\(y^2+xy+y=x^3-19205208x-32396498669\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 40.24.0-8.n.1.4, $\ldots$ |
$[]$ |
37905.s2 |
37905t6 |
37905.s |
37905t |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5 \cdot 7^{2} \cdot 19^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2027520$ |
$2.809704$ |
$335414091635204401/37448756505405$ |
$0.96511$ |
$5.50334$ |
$[1, 0, 1, -5225483, 4129975901]$ |
\(y^2+xy+y=x^3-5225483x+4129975901\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 10.6.0.a.1, 16.24.0-8.n.1.6, $\ldots$ |
$[]$ |
37905.s3 |
37905t3 |
37905.s |
37905t |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{4} \cdot 19^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$2$ |
$1013760$ |
$2.463131$ |
$4541390686576801/633623960025$ |
$0.94385$ |
$5.09527$ |
$[1, 0, 1, -1245458, -466156969]$ |
\(y^2+xy+y=x^3-1245458x-466156969\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 20.24.0.c.1, 40.48.0-20.c.1.9, $\ldots$ |
$[]$ |
37905.s4 |
37905t2 |
37905.s |
37905t |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$15960$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$2$ |
$506880$ |
$2.116554$ |
$4065433152958801/99500625$ |
$0.93982$ |
$5.08477$ |
$[1, 0, 1, -1200333, -506264069]$ |
\(y^2+xy+y=x^3-1200333x-506264069\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 40.48.0-40.m.1.20, 76.24.0.?, $\ldots$ |
$[]$ |
37905.s5 |
37905t1 |
37905.s |
37905t |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3 \cdot 5^{8} \cdot 7 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$253440$ |
$1.769983$ |
$-885012508801/155859375$ |
$0.88599$ |
$4.31015$ |
$[1, 0, 1, -72208, -8535319]$ |
\(y^2+xy+y=x^3-72208x-8535319\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 76.12.0.?, 80.48.0.?, $\ldots$ |
$[]$ |
37905.s6 |
37905t5 |
37905.s |
37905t |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{8} \cdot 5 \cdot 7^{8} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$31920$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$0$ |
$2027520$ |
$2.809704$ |
$19162556947522799/68270261146605$ |
$0.97409$ |
$5.38741$ |
$[1, 0, 1, 2012567, -2495254939]$ |
\(y^2+xy+y=x^3+2012567x-2495254939\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 20.12.0.h.1, 40.48.0-40.bn.1.1, $\ldots$ |
$[]$ |
37905.t1 |
37905w6 |
37905.t |
37905w |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{24} \cdot 5^{6} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$4560$ |
$192$ |
$1$ |
$3.004162309$ |
$1$ |
|
$4$ |
$56401920$ |
$4.489571$ |
$51667200931417724201028999121/4108467163497046875$ |
$1.04303$ |
$7.94675$ |
$[1, 0, 1, -28011580213, 1804487740623281]$ |
\(y^2+xy+y=x^3-28011580213x+1804487740623281\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 40.48.0-40.cb.1.14, 48.48.0-48.e.2.18, $\ldots$ |
$[(96075, 249787)]$ |
37905.t2 |
37905w4 |
37905.t |
37905w |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{16} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$4560$ |
$192$ |
$1$ |
$6.008324618$ |
$1$ |
|
$0$ |
$28200960$ |
$4.142998$ |
$32057060107551693105326401/40490171782737618375$ |
$1.02617$ |
$7.24626$ |
$[1, 0, 1, -2389134108, -44898969489257]$ |
\(y^2+xy+y=x^3-2389134108x-44898969489257\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 24.24.0-8.n.1.8, $\ldots$ |
$[(-1004801/6, 46760515/6)]$ |
37905.t3 |
37905w3 |
37905.t |
37905w |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{12} \cdot 5^{12} \cdot 7^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$2280$ |
$192$ |
$1$ |
$1.502081154$ |
$1$ |
|
$6$ |
$28200960$ |
$4.142998$ |
$12695229840756170655249121/112459065576416015625$ |
$1.02391$ |
$7.15840$ |
$[1, 0, 1, -1754470838, 28068257279531]$ |
\(y^2+xy+y=x^3-1754470838x+28068257279531\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.i.1.32, 40.48.0-40.i.2.28, 76.48.0.?, $\ldots$ |
$[(21675, 461662)]$ |
37905.t4 |
37905w5 |
37905.t |
37905w |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( - 3^{6} \cdot 5^{24} \cdot 7^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$4560$ |
$192$ |
$1$ |
$3.004162309$ |
$1$ |
|
$0$ |
$56401920$ |
$4.489571$ |
$-348819718507793207040241/40453612804412841796875$ |
$1.06051$ |
$7.32068$ |
$[1, 0, 1, -529419143, 66539290688633]$ |
\(y^2+xy+y=x^3-529419143x+66539290688633\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 24.48.0-24.bz.2.6, 38.6.0.b.1, $\ldots$ |
$[(1383051/2, 1622835695/2)]$ |
37905.t5 |
37905w2 |
37905.t |
37905w |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7 \cdot 19^{2} \) |
\( 3^{6} \cdot 5^{6} \cdot 7^{8} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$2280$ |
$192$ |
$1$ |
$3.004162309$ |
$1$ |
|
$6$ |
$14100480$ |
$3.796425$ |
$16115292555782480096401/8557487595112640625$ |
$1.02978$ |
$6.52582$ |
$[1, 0, 1, -189967233, -289309263257]$ |
\(y^2+xy+y=x^3-189967233x-289309263257\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.i.2.5, 40.48.0-40.i.1.13, $\ldots$ |
$[(-9811, 798705)]$ |