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 |
161840.a1 |
161840by1 |
161840.a |
161840by |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{5} \cdot 7^{3} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2112000$ |
$1.808077$ |
$-30211716096/1071875$ |
$1.00205$ |
$3.89645$ |
$[0, 0, 0, -119068, -16291508]$ |
\(y^2=x^3-119068x-16291508\) |
70.2.0.a.1 |
$[]$ |
161840.b1 |
161840a1 |
161840.b |
161840a |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 5 \cdot 7^{2} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$2.069960231$ |
$1$ |
|
$2$ |
$1658880$ |
$1.782017$ |
$206425071/133280$ |
$0.85516$ |
$3.70695$ |
$[0, 0, 0, 56933, 1778506]$ |
\(y^2=x^3+56933x+1778506\) |
680.2.0.? |
$[(170, 4046)]$ |
161840.c1 |
161840f1 |
161840.c |
161840f |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{5} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$3.143426373$ |
$1$ |
|
$2$ |
$4406400$ |
$2.435257$ |
$39814672384/153125$ |
$0.89122$ |
$4.61808$ |
$[0, 1, 0, -2174821, -1231094445]$ |
\(y^2=x^3+x^2-2174821x-1231094445\) |
10.2.0.a.1 |
$[(1830, 30345)]$ |
161840.d1 |
161840g1 |
161840.d |
161840g |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{22} \cdot 5^{4} \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18800640$ |
$3.169399$ |
$27306250652897/31360000$ |
$0.95064$ |
$5.39877$ |
$[0, 1, 0, -49315056, -133180198700]$ |
\(y^2=x^3+x^2-49315056x-133180198700\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
161840.d2 |
161840g2 |
161840.d |
161840g |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{8} \cdot 7^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$37601280$ |
$3.515972$ |
$-11289171456737/30012500000$ |
$0.97264$ |
$5.46867$ |
$[0, 1, 0, -36737776, -202722495276]$ |
\(y^2=x^3+x^2-36737776x-202722495276\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
161840.e1 |
161840d2 |
161840.e |
161840d |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{15} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$0.594390699$ |
$1$ |
|
$4$ |
$3576960$ |
$2.353245$ |
$-167558444566341376/2967225943714375$ |
$1.02283$ |
$4.29804$ |
$[0, 1, 0, -191346, 181038979]$ |
\(y^2=x^3+x^2-191346x+181038979\) |
3.4.0.a.1, 14.2.0.a.1, 42.8.0.a.1, 204.8.0.?, 1428.16.0.? |
$[(5619, 420175)]$ |
161840.e2 |
161840d1 |
161840.e |
161840d |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{12} \cdot 7^{5} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1.783172099$ |
$1$ |
|
$2$ |
$1192320$ |
$1.803938$ |
$226392928058624/4103271484375$ |
$0.99325$ |
$3.74377$ |
$[0, 1, 0, 21154, -6513521]$ |
\(y^2=x^3+x^2+21154x-6513521\) |
3.4.0.a.1, 14.2.0.a.1, 42.8.0.a.1, 204.8.0.?, 1428.16.0.? |
$[(619, 15625)]$ |
161840.f1 |
161840e2 |
161840.f |
161840e |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1.499241531$ |
$1$ |
|
$4$ |
$1741824$ |
$1.916376$ |
$-21064523776/8425795$ |
$0.86915$ |
$3.90523$ |
$[0, 1, 0, -105581, 17137015]$ |
\(y^2=x^3+x^2-105581x+17137015\) |
3.4.0.a.1, 204.8.0.?, 420.8.0.?, 1190.2.0.?, 3570.8.0.?, $\ldots$ |
$[(-329, 4046)]$ |
161840.f2 |
161840e1 |
161840.f |
161840e |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$4.497724594$ |
$1$ |
|
$0$ |
$580608$ |
$1.367071$ |
$17997824/14875$ |
$0.77756$ |
$3.27239$ |
$[0, 1, 0, 10019, -249225]$ |
\(y^2=x^3+x^2+10019x-249225\) |
3.4.0.a.1, 204.8.0.?, 420.8.0.?, 1190.2.0.?, 3570.8.0.?, $\ldots$ |
$[(1091/5, 65314/5)]$ |
161840.g1 |
161840c1 |
161840.g |
161840c |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 5 \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$7.377791953$ |
$1$ |
|
$2$ |
$2643840$ |
$2.227772$ |
$1183744/245$ |
$0.76333$ |
$4.22149$ |
$[0, 1, 0, -445445, 91563763]$ |
\(y^2=x^3+x^2-445445x+91563763\) |
10.2.0.a.1 |
$[(4078, 257117)]$ |
161840.h1 |
161840bz1 |
161840.h |
161840bz |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{5} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6071040$ |
$2.618221$ |
$-73984/10504375$ |
$1.08660$ |
$4.56271$ |
$[0, 1, 0, -27840, -885631937]$ |
\(y^2=x^3+x^2-27840x-885631937\) |
14.2.0.a.1 |
$[]$ |
161840.i1 |
161840b2 |
161840.i |
161840b |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 7^{6} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$0.364370750$ |
$1$ |
|
$16$ |
$217728$ |
$1.004124$ |
$31610281984/14706125$ |
$0.93169$ |
$2.95042$ |
$[0, 1, 0, -2765, 23863]$ |
\(y^2=x^3+x^2-2765x+23863\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 204.8.0.?, 1020.16.0.? |
$[(-14, 245), (231, 3430)]$ |
161840.i2 |
161840b1 |
161840.i |
161840b |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$3.279336758$ |
$1$ |
|
$8$ |
$72576$ |
$0.454817$ |
$4148813824/245$ |
$0.87283$ |
$2.78111$ |
$[0, 1, 0, -1405, -20745]$ |
\(y^2=x^3+x^2-1405x-20745\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 204.8.0.?, 1020.16.0.? |
$[(-22, 1), (43, 14)]$ |
161840.j1 |
161840n1 |
161840.j |
161840n |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{23} \cdot 5^{3} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3649536$ |
$2.582165$ |
$-79290863149681/213248000$ |
$0.91840$ |
$4.77940$ |
$[0, -1, 0, -4138576, -3246735424]$ |
\(y^2=x^3-x^2-4138576x-3246735424\) |
680.2.0.? |
$[]$ |
161840.k1 |
161840o2 |
161840.k |
161840o |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 7 \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$2.503369148$ |
$1$ |
|
$2$ |
$746496$ |
$1.806137$ |
$1688258640889/7000000$ |
$0.94637$ |
$3.98565$ |
$[0, -1, 0, -173496, 27773296]$ |
\(y^2=x^3-x^2-173496x+27773296\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 28.2.0.a.1, 42.8.0-3.a.1.1, 84.16.0.? |
$[(106, 3250)]$ |
161840.k2 |
161840o1 |
161840.k |
161840o |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 5^{2} \cdot 7^{3} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$0.834456382$ |
$1$ |
|
$4$ |
$248832$ |
$1.256830$ |
$511981129/34300$ |
$0.97616$ |
$3.31026$ |
$[0, -1, 0, -11656, -451600]$ |
\(y^2=x^3-x^2-11656x-451600\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 28.2.0.a.1, 42.8.0-3.a.1.2, 84.16.0.? |
$[(-62, 170)]$ |
161840.l1 |
161840cc1 |
161840.l |
161840cc |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.808938739$ |
$1$ |
|
$4$ |
$32256$ |
$0.171965$ |
$334084/175$ |
$0.89454$ |
$2.11075$ |
$[0, -1, 0, -96, -80]$ |
\(y^2=x^3-x^2-96x-80\) |
28.2.0.a.1 |
$[(-2, 10)]$ |
161840.m1 |
161840m1 |
161840.m |
161840m |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{8} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5640192$ |
$2.512703$ |
$6161940649/2734375$ |
$0.89123$ |
$4.46252$ |
$[0, -1, 0, -1167656, 234910000]$ |
\(y^2=x^3-x^2-1167656x+234910000\) |
28.2.0.a.1 |
$[]$ |
161840.n1 |
161840ca1 |
161840.n |
161840ca |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5 \cdot 7 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$0.855275$ |
$-1024/35$ |
$0.78213$ |
$2.79892$ |
$[0, -1, 0, -385, -22435]$ |
\(y^2=x^3-x^2-385x-22435\) |
70.2.0.a.1 |
$[]$ |
161840.o1 |
161840l2 |
161840.o |
161840l |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{30} \cdot 5^{2} \cdot 7^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$76142592$ |
$4.040779$ |
$498146195040339241/264461398835200$ |
$1.02009$ |
$5.98057$ |
$[0, -1, 0, -504887720, -1254945876368]$ |
\(y^2=x^3-x^2-504887720x-1254945876368\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 28.2.0.a.1, 42.8.0-3.a.1.1, 84.16.0.? |
$[]$ |
161840.o2 |
161840l1 |
161840.o |
161840l |
$2$ |
$3$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{18} \cdot 5^{6} \cdot 7^{3} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25380864$ |
$3.491474$ |
$241820454028845241/343000000$ |
$0.98609$ |
$5.92032$ |
$[0, -1, 0, -396801720, -3042208807568]$ |
\(y^2=x^3-x^2-396801720x-3042208807568\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 28.2.0.a.1, 42.8.0-3.a.1.2, 84.16.0.? |
$[]$ |
161840.p1 |
161840cb1 |
161840.p |
161840cb |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 5 \cdot 7^{2} \cdot 17^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5935104$ |
$2.846516$ |
$-15079826167058/100532974885$ |
$0.94218$ |
$4.79355$ |
$[0, -1, 0, -1889000, 3536529232]$ |
\(y^2=x^3-x^2-1889000x+3536529232\) |
680.2.0.? |
$[]$ |
161840.q1 |
161840h1 |
161840.q |
161840h |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{4} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.763075381$ |
$1$ |
|
$2$ |
$2467584$ |
$2.250488$ |
$84398535376/214375$ |
$0.86470$ |
$4.44957$ |
$[0, -1, 0, -1108700, -447977348]$ |
\(y^2=x^3-x^2-1108700x-447977348\) |
28.2.0.a.1 |
$[(-591, 700)]$ |
161840.r1 |
161840i1 |
161840.r |
161840i |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 5^{4} \cdot 7^{5} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.367337588$ |
$1$ |
|
$6$ |
$9400320$ |
$2.893261$ |
$1505139743881/168070000$ |
$0.91948$ |
$4.92093$ |
$[0, -1, 0, -7299080, -6816227600]$ |
\(y^2=x^3-x^2-7299080x-6816227600\) |
28.2.0.a.1 |
$[(-1830, 20230)]$ |
161840.s1 |
161840j1 |
161840.s |
161840j |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{31} \cdot 5 \cdot 7^{8} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$71442432$ |
$4.034607$ |
$17997704835884047/15112079933440$ |
$1.00652$ |
$5.93993$ |
$[0, -1, 0, 429171840, -2298177720320]$ |
\(y^2=x^3-x^2+429171840x-2298177720320\) |
680.2.0.? |
$[]$ |
161840.t1 |
161840k1 |
161840.t |
161840k |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{4} \cdot 7^{13} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$183306240$ |
$4.399986$ |
$172032746578729129/60555631504375$ |
$1.02035$ |
$6.36435$ |
$[0, -1, 0, -2341956680, -27302635822928]$ |
\(y^2=x^3-x^2-2341956680x-27302635822928\) |
28.2.0.a.1 |
$[]$ |
161840.u1 |
161840bc1 |
161840.u |
161840bc |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7 \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$1.219105$ |
$-113246208/13671875$ |
$1.23265$ |
$3.16275$ |
$[0, 0, 0, -1088, -199988]$ |
\(y^2=x^3-1088x-199988\) |
1190.2.0.? |
$[]$ |
161840.v1 |
161840cg2 |
161840.v |
161840cg |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$952$ |
$12$ |
$0$ |
$1.145403647$ |
$1$ |
|
$7$ |
$5013504$ |
$2.552330$ |
$1019437193909682/8850625$ |
$0.95509$ |
$4.93414$ |
$[0, 0, 0, -7695203, 8216275202]$ |
\(y^2=x^3-7695203x+8216275202\) |
2.3.0.a.1, 8.6.0.b.1, 476.6.0.?, 952.12.0.? |
$[(1717, 8092)]$ |
161840.v2 |
161840cg1 |
161840.v |
161840cg |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{8} \cdot 7 \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$952$ |
$12$ |
$0$ |
$2.290807295$ |
$1$ |
|
$5$ |
$2506752$ |
$2.205757$ |
$-465142919364/46484375$ |
$0.93096$ |
$4.24830$ |
$[0, 0, 0, -470203, 134390202]$ |
\(y^2=x^3-470203x+134390202\) |
2.3.0.a.1, 8.6.0.c.1, 238.6.0.?, 952.12.0.? |
$[(357, 3468)]$ |
161840.w1 |
161840ch1 |
161840.w |
161840ch |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5 \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1.586174936$ |
$1$ |
|
$2$ |
$25344$ |
$0.084593$ |
$470016/245$ |
$0.68528$ |
$2.02363$ |
$[0, 0, 0, -68, -68]$ |
\(y^2=x^3-68x-68\) |
10.2.0.a.1 |
$[(9, 7)]$ |
161840.x1 |
161840bd2 |
161840.x |
161840bd |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{2} \cdot 7^{3} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$3916800$ |
$2.565445$ |
$2651848930512/8575$ |
$0.98856$ |
$4.97320$ |
$[0, 0, 0, -8995703, 10384834098]$ |
\(y^2=x^3-8995703x+10384834098\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
161840.x2 |
161840bd1 |
161840.x |
161840bd |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5 \cdot 7^{6} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1958400$ |
$2.218872$ |
$10788913152/588245$ |
$1.03223$ |
$4.28312$ |
$[0, 0, 0, -569908, 157604127]$ |
\(y^2=x^3-569908x+157604127\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[]$ |
161840.y1 |
161840y1 |
161840.y |
161840y |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 5 \cdot 7 \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1190$ |
$2$ |
$0$ |
$1.119936882$ |
$1$ |
|
$2$ |
$69120$ |
$0.545611$ |
$-7077888/35$ |
$1.01784$ |
$2.71781$ |
$[0, 0, 0, -1088, 13872]$ |
\(y^2=x^3-1088x+13872\) |
1190.2.0.? |
$[(17, 17)]$ |
161840.z1 |
161840cf2 |
161840.z |
161840cf |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 5 \cdot 7^{2} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2158592$ |
$2.173153$ |
$507272274/245$ |
$0.86810$ |
$4.43276$ |
$[0, 0, 0, -1036643, -406079102]$ |
\(y^2=x^3-1036643x-406079102\) |
2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.? |
$[]$ |
161840.z2 |
161840cf1 |
161840.z |
161840cf |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1079296$ |
$1.826580$ |
$-143748/175$ |
$0.78712$ |
$3.78835$ |
$[0, 0, 0, -54043, -8519142]$ |
\(y^2=x^3-54043x-8519142\) |
2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.? |
$[]$ |
161840.ba1 |
161840z2 |
161840.ba |
161840z |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 7 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$6.364450121$ |
$1$ |
|
$1$ |
$119808$ |
$0.829479$ |
$212992848/109375$ |
$0.87695$ |
$2.76977$ |
$[0, 0, 0, -1343, -6358]$ |
\(y^2=x^3-1343x-6358\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(-103/4, 2877/4)]$ |
161840.ba2 |
161840z1 |
161840.ba |
161840z |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$3.182225060$ |
$1$ |
|
$3$ |
$59904$ |
$0.482906$ |
$588791808/6125$ |
$1.20425$ |
$2.62338$ |
$[0, 0, 0, -748, 7803]$ |
\(y^2=x^3-748x+7803\) |
2.3.0.a.1, 140.6.0.?, 170.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(1, 84)]$ |
161840.bb1 |
161840ba1 |
161840.bb |
161840ba |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$264384$ |
$1.242023$ |
$-117504/175$ |
$0.67150$ |
$3.20034$ |
$[0, 0, 0, -4913, 250563]$ |
\(y^2=x^3-4913x+250563\) |
14.2.0.a.1 |
$[]$ |
161840.bc1 |
161840bb2 |
161840.bc |
161840bb |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{21} \cdot 5 \cdot 7^{10} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$13.26416468$ |
$1$ |
|
$1$ |
$65802240$ |
$3.966286$ |
$260369943483538377/723136637440$ |
$1.02853$ |
$6.16269$ |
$[0, 0, 0, -1045736963, 12984856358402]$ |
\(y^2=x^3-1045736963x+12984856358402\) |
2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(607486/3, 426843316/3)]$ |
161840.bc2 |
161840bb1 |
161840.bc |
161840bb |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{30} \cdot 5^{2} \cdot 7^{5} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$6.632082344$ |
$1$ |
|
$3$ |
$32901120$ |
$3.619709$ |
$-14090073029577/110146355200$ |
$1.06527$ |
$5.56661$ |
$[0, 0, 0, -39554563, 364712988162]$ |
\(y^2=x^3-39554563x+364712988162\) |
2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(64769, 16416768)]$ |
161840.bd1 |
161840s1 |
161840.bd |
161840s |
$1$ |
$1$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$0.845181167$ |
$1$ |
|
$2$ |
$15552$ |
$-0.174584$ |
$-117504/175$ |
$0.67150$ |
$1.78307$ |
$[0, 0, 0, -17, 51]$ |
\(y^2=x^3-17x+51\) |
14.2.0.a.1 |
$[(2, 5)]$ |
161840.be1 |
161840t2 |
161840.be |
161840t |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{21} \cdot 5 \cdot 7^{10} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$11.70452086$ |
$1$ |
|
$1$ |
$3870720$ |
$2.549679$ |
$260369943483538377/723136637440$ |
$1.02853$ |
$4.74542$ |
$[0, 0, 0, -3618467, 2642958754]$ |
\(y^2=x^3-3618467x+2642958754\) |
2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(231865/14, 11609067/14)]$ |
161840.be2 |
161840t1 |
161840.be |
161840t |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{30} \cdot 5^{2} \cdot 7^{5} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$5.852260431$ |
$1$ |
|
$1$ |
$1935360$ |
$2.203102$ |
$-14090073029577/110146355200$ |
$1.06527$ |
$4.14933$ |
$[0, 0, 0, -136867, 74234274]$ |
\(y^2=x^3-136867x+74234274\) |
2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(2057/2, 94605/2)]$ |
161840.bf1 |
161840u4 |
161840.bf |
161840u |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{19} \cdot 5^{8} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$48.58282080$ |
$1$ |
|
$1$ |
$74317824$ |
$4.014954$ |
$291306206119284545407569/101150000000$ |
$1.03940$ |
$6.61525$ |
$[0, 0, 0, -6385964507, -196420975723894]$ |
\(y^2=x^3-6385964507x-196420975723894\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bp.1, 136.24.0.?, $\ldots$ |
$[(39333514973563988649479/271312477, 7708080435630315334255094603200110/271312477)]$ |
161840.bf2 |
161840u3 |
161840.bf |
161840u |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{4} \cdot 17^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$952$ |
$48$ |
$0$ |
$12.14570520$ |
$1$ |
|
$1$ |
$74317824$ |
$4.014954$ |
$118495863754334673489/53596139570691200$ |
$1.03328$ |
$5.96434$ |
$[0, 0, 0, -473163227, -1851440182646]$ |
\(y^2=x^3-473163227x-1851440182646\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 56.24.0.v.1, 68.12.0-4.c.1.2, $\ldots$ |
$[(-21643347/41, 100025652160/41)]$ |
161840.bf3 |
161840u2 |
161840.bf |
161840u |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{26} \cdot 5^{4} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$952$ |
$48$ |
$0$ |
$24.29141040$ |
$1$ |
|
$3$ |
$37158912$ |
$3.668377$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$5.92181$ |
$[0, 0, 0, -399179227, -3068166249846]$ |
\(y^2=x^3-399179227x-3068166249846\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.b.1, 56.24.0.d.1, 68.12.0-2.a.1.1, $\ldots$ |
$[(829142565615/5711, 333888700202627958/5711)]$ |
161840.bf4 |
161840u1 |
161840.bf |
161840u |
$4$ |
$4$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{40} \cdot 5^{2} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$952$ |
$48$ |
$0$ |
$48.58282080$ |
$1$ |
|
$1$ |
$18579456$ |
$3.321804$ |
$-9470133471933009/13576123187200$ |
$1.05689$ |
$5.28166$ |
$[0, 0, 0, -20381147, -66039946614]$ |
\(y^2=x^3-20381147x-66039946614\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(14383956130846102303510/1516321899, 789634062962339642532606032047504/1516321899)]$ |
161840.bg1 |
161840ce2 |
161840.bg |
161840ce |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 5 \cdot 7^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$5.101926654$ |
$1$ |
|
$11$ |
$126976$ |
$0.756548$ |
$507272274/245$ |
$0.86810$ |
$3.01548$ |
$[0, 0, 0, -3587, -82654]$ |
\(y^2=x^3-3587x-82654\) |
2.3.0.a.1, 280.6.0.?, 476.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(-35, 4), (2941, 159460)]$ |
161840.bg2 |
161840ce1 |
161840.bg |
161840ce |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{2} \cdot 7 \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4760$ |
$12$ |
$0$ |
$5.101926654$ |
$1$ |
|
$13$ |
$63488$ |
$0.409974$ |
$-143748/175$ |
$0.78712$ |
$2.37107$ |
$[0, 0, 0, -187, -1734]$ |
\(y^2=x^3-187x-1734\) |
2.3.0.a.1, 238.6.0.?, 280.6.0.?, 680.6.0.?, 4760.12.0.? |
$[(21, 60), (25, 96)]$ |
161840.bh1 |
161840v2 |
161840.bh |
161840v |
$2$ |
$2$ |
\( 2^{4} \cdot 5 \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2380$ |
$12$ |
$0$ |
$10.76681585$ |
$1$ |
|
$1$ |
$2036736$ |
$2.246086$ |
$212992848/109375$ |
$0.87695$ |
$4.18704$ |
$[0, 0, 0, -388127, -31236854]$ |
\(y^2=x^3-388127x-31236854\) |
2.3.0.a.1, 140.6.0.?, 340.6.0.?, 476.6.0.?, 2380.12.0.? |
$[(-199703/24, 108545525/24)]$ |