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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
319725.a1 |
319725a1 |
319725.a |
319725a |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{7} \cdot 5^{2} \cdot 7^{10} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.161670590$ |
$1$ |
|
$2$ |
$3540096$ |
$1.775713$ |
$1003520/2523$ |
$[0, 0, 1, 36015, -4811004]$ |
\(y^2+y=x^3+36015x-4811004\) |
6.2.0.a.1 |
$[(204, 3320)]$ |
319725.b1 |
319725b1 |
319725.b |
319725b |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{7} \cdot 5^{2} \cdot 7^{4} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.377980121$ |
$1$ |
|
$16$ |
$505728$ |
$0.802758$ |
$1003520/2523$ |
$[0, 0, 1, 735, 14026]$ |
\(y^2+y=x^3+735x+14026\) |
6.2.0.a.1 |
$[(91, 913), (4, 130)]$ |
319725.c1 |
319725c1 |
319725.c |
319725c |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{8} \cdot 5^{4} \cdot 7^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3870720$ |
$1.690573$ |
$12800000/89523$ |
$[0, 0, 1, 18375, -3192044]$ |
\(y^2+y=x^3+18375x-3192044\) |
406.2.0.? |
$[]$ |
319725.d1 |
319725d1 |
319725.d |
319725d |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{9} \cdot 5^{7} \cdot 7^{6} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$870$ |
$2$ |
$0$ |
$3.024723695$ |
$1$ |
|
$10$ |
$2073600$ |
$1.702232$ |
$110592/145$ |
$[0, 0, 1, 33075, 2604656]$ |
\(y^2+y=x^3+33075x+2604656\) |
870.2.0.? |
$[(630, 16537), (-45, 1012)]$ |
319725.e1 |
319725e1 |
319725.e |
319725e |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{12} \cdot 5^{6} \cdot 7^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$6.264607177$ |
$1$ |
|
$2$ |
$7902720$ |
$2.183681$ |
$62992384/21141$ |
$[0, 0, 1, -334425, -48245094]$ |
\(y^2+y=x^3-334425x-48245094\) |
58.2.0.a.1 |
$[(-201, 3294)]$ |
319725.f1 |
319725f1 |
319725.f |
319725f |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{16} \cdot 5^{8} \cdot 7^{7} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$2.017722023$ |
$1$ |
|
$12$ |
$15667200$ |
$2.690445$ |
$-106039644160/11986947$ |
$[0, 0, 1, -3178875, 2385082656]$ |
\(y^2+y=x^3-3178875x+2385082656\) |
406.2.0.? |
$[(575, 27337), (-154, 53581)]$ |
319725.g1 |
319725g2 |
319725.g |
319725g |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{16} \cdot 5^{8} \cdot 7^{11} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6090$ |
$48$ |
$1$ |
$1.121130984$ |
$1$ |
|
$4$ |
$64512000$ |
$3.297520$ |
$-27933450833920/28780659747$ |
$[0, 0, 1, -20377875, 59039250156]$ |
\(y^2+y=x^3-20377875x+59039250156\) |
5.12.0.a.1, 105.24.0.?, 406.2.0.?, 870.24.0.?, 2030.24.1.?, $\ldots$ |
$[(-700, 270112)]$ |
319725.g2 |
319725g1 |
319725.g |
319725g |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{8} \cdot 5^{4} \cdot 7^{7} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6090$ |
$48$ |
$1$ |
$0.224226196$ |
$1$ |
|
$8$ |
$12902400$ |
$2.492802$ |
$-352558182400/1292202387$ |
$[0, 0, 1, -554925, -430878744]$ |
\(y^2+y=x^3-554925x-430878744\) |
5.12.0.a.2, 105.24.0.?, 406.2.0.?, 870.24.0.?, 2030.24.1.?, $\ldots$ |
$[(1295, 31972)]$ |
319725.h1 |
319725h2 |
319725.h |
319725h |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{7} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6090$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$27648000$ |
$2.912563$ |
$-1099616058781696/143578043$ |
$[0, 0, 1, -23707425, -44434846094]$ |
\(y^2+y=x^3-23707425x-44434846094\) |
5.12.0.a.2, 105.24.0.?, 406.2.0.?, 870.24.0.?, 2030.24.1.?, $\ldots$ |
$[]$ |
319725.h2 |
319725h1 |
319725.h |
319725h |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{11} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6090$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$5529600$ |
$2.107845$ |
$841232384/487403$ |
$[0, 0, 1, 216825, -1339844]$ |
\(y^2+y=x^3+216825x-1339844\) |
5.12.0.a.1, 105.24.0.?, 406.2.0.?, 870.24.0.?, 2030.24.1.?, $\ldots$ |
$[]$ |
319725.i1 |
319725i1 |
319725.i |
319725i |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{12} \cdot 5^{6} \cdot 7^{2} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1128960$ |
$1.210728$ |
$62992384/21141$ |
$[0, 0, 1, -6825, 140656]$ |
\(y^2+y=x^3-6825x+140656\) |
58.2.0.a.1 |
$[]$ |
319725.j1 |
319725j1 |
319725.j |
319725j |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.401181938$ |
$1$ |
|
$4$ |
$368640$ |
$0.804301$ |
$-4096/29$ |
$[0, 0, 1, -525, -16844]$ |
\(y^2+y=x^3-525x-16844\) |
406.2.0.? |
$[(35, 87)]$ |
319725.k1 |
319725k1 |
319725.k |
319725k |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{9} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$3.424917089$ |
$1$ |
|
$0$ |
$2580480$ |
$1.777256$ |
$-4096/29$ |
$[0, 0, 1, -25725, 5777406]$ |
\(y^2+y=x^3-25725x+5777406\) |
406.2.0.? |
$[(-980/3, 72874/3)]$ |
319725.l1 |
319725l1 |
319725.l |
319725l |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{7} \cdot 5^{9} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$6090$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13132800$ |
$2.468281$ |
$-301302001664/87$ |
$[0, 0, 1, -7699125, -8222621094]$ |
\(y^2+y=x^3-7699125x-8222621094\) |
5.12.0.a.2, 105.24.0.?, 870.24.1.?, 2030.24.0.?, 6090.48.1.? |
$[]$ |
319725.l2 |
319725l2 |
319725.l |
319725l |
$2$ |
$5$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{11} \cdot 5^{9} \cdot 7^{6} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$6090$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$65664000$ |
$3.272999$ |
$1351431663616/4984209207$ |
$[0, 0, 1, 12697125, -40366008594]$ |
\(y^2+y=x^3+12697125x-40366008594\) |
5.12.0.a.1, 105.24.0.?, 870.24.1.?, 2030.24.0.?, 6090.48.1.? |
$[]$ |
319725.m1 |
319725m1 |
319725.m |
319725m |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{3} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.027346334$ |
$1$ |
|
$16$ |
$983040$ |
$1.253275$ |
$20480/261$ |
$[0, 0, 1, 2625, -237344]$ |
\(y^2+y=x^3+2625x-237344\) |
406.2.0.? |
$[(175, 2362), (100, 1012)]$ |
319725.n1 |
319725n1 |
319725.n |
319725n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6881280$ |
$2.226231$ |
$20480/261$ |
$[0, 0, 1, 128625, 81408906]$ |
\(y^2+y=x^3+128625x+81408906\) |
406.2.0.? |
$[]$ |
319725.o1 |
319725o1 |
319725.o |
319725o |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{10} \cdot 7^{9} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6773760$ |
$2.319435$ |
$-4629825/9947$ |
$[1, -1, 1, -327305, -156378428]$ |
\(y^2+xy+y=x^3-x^2-327305x-156378428\) |
406.2.0.? |
$[]$ |
319725.p1 |
319725p1 |
319725.p |
319725p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{22} \cdot 5^{7} \cdot 7^{10} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$580$ |
$2$ |
$0$ |
$10.46061089$ |
$1$ |
|
$0$ |
$92897280$ |
$3.661083$ |
$-446118219434209/6241774545$ |
$[1, -1, 1, -235009130, 1403398149122]$ |
\(y^2+xy+y=x^3-x^2-235009130x+1403398149122\) |
580.2.0.? |
$[(203946/7, 241178230/7)]$ |
319725.q1 |
319725q1 |
319725.q |
319725q |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{22} \cdot 5^{7} \cdot 7^{4} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$580$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13271040$ |
$2.688129$ |
$-446118219434209/6241774545$ |
$[1, -1, 1, -4796105, -4090169478]$ |
\(y^2+xy+y=x^3-x^2-4796105x-4090169478\) |
580.2.0.? |
$[]$ |
319725.r1 |
319725r1 |
319725.r |
319725r |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1740$ |
$2$ |
$0$ |
$1.051281850$ |
$1$ |
|
$4$ |
$173568$ |
$0.564712$ |
$81879581/87$ |
$[1, -1, 1, -1490, -21738]$ |
\(y^2+xy+y=x^3-x^2-1490x-21738\) |
1740.2.0.? |
$[(-22, 6)]$ |
319725.s1 |
319725s8 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{22} \cdot 5^{7} \cdot 7^{10} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.4 |
2B |
$97440$ |
$768$ |
$13$ |
$36.99836180$ |
$1$ |
|
$0$ |
$377487360$ |
$4.383507$ |
$708102767635831683894241/14986500682545$ |
$[1, -1, 1, -20472432980, -1127457866796978]$ |
\(y^2+xy+y=x^3-x^2-20472432980x-1127457866796978\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0-16.g.1.2, $\ldots$ |
$[(-2273051889622776369/5245298, 5787485001471780709346535/5245298)]$ |
319725.s2 |
319725s6 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{14} \cdot 5^{8} \cdot 7^{14} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.10 |
2Cs |
$48720$ |
$768$ |
$13$ |
$18.49918090$ |
$1$ |
|
$2$ |
$188743680$ |
$4.036934$ |
$173449931524273005841/795225618065025$ |
$[1, -1, 1, -1280939855, -17575436391978]$ |
\(y^2+xy+y=x^3-x^2-1280939855x-17575436391978\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0-8.i.1.7, 40.48.0.bc.1, $\ldots$ |
$[(-931489689/218, 462318281835/218)]$ |
319725.s3 |
319725s7 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{10} \cdot 5^{7} \cdot 7^{22} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.4 |
2B |
$97440$ |
$768$ |
$13$ |
$36.99836180$ |
$1$ |
|
$0$ |
$377487360$ |
$4.383507$ |
$-20980751961338245441/390320769539963745$ |
$[1, -1, 1, -633496730, -35333506424478]$ |
\(y^2+xy+y=x^3-x^2-633496730x-35333506424478\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0-16.g.1.2, $\ldots$ |
$[(58407527651653311/65182, 14113798794292880685484065/65182)]$ |
319725.s4 |
319725s4 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{10} \cdot 5^{10} \cdot 7^{10} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.53 |
2Cs |
$48720$ |
$768$ |
$13$ |
$9.249590450$ |
$1$ |
|
$2$ |
$94371840$ |
$3.690361$ |
$149620653479787841/85970447600625$ |
$[1, -1, 1, -121936730, 43729114272]$ |
\(y^2+xy+y=x^3-x^2-121936730x+43729114272\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0-4.b.1.9, 40.96.0-40.b.1.7, 168.96.0.?, $\ldots$ |
$[(-15969/2, 5482315/2)]$ |
319725.s5 |
319725s2 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{8} \cdot 5^{14} \cdot 7^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.10 |
2Cs |
$48720$ |
$768$ |
$13$ |
$4.624795225$ |
$1$ |
|
$4$ |
$47185920$ |
$3.343788$ |
$55254534707337841/144875390625$ |
$[1, -1, 1, -87483605, 314255051772]$ |
\(y^2+xy+y=x^3-x^2-87483605x+314255051772\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0-8.i.1.7, 40.48.0-8.i.1.6, $\ldots$ |
$[(-3211, 751305)]$ |
319725.s6 |
319725s1 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{7} \cdot 5^{10} \cdot 7^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.4 |
2B |
$97440$ |
$768$ |
$13$ |
$2.312397612$ |
$1$ |
|
$3$ |
$23592960$ |
$2.997215$ |
$55150149867714721/380625$ |
$[1, -1, 1, -87428480, 314671686522]$ |
\(y^2+xy+y=x^3-x^2-87428480x+314671686522\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0-16.g.1.2, $\ldots$ |
$[(5379, -190)]$ |
319725.s7 |
319725s3 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{7} \cdot 5^{22} \cdot 7^{7} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.4 |
2B |
$97440$ |
$768$ |
$13$ |
$9.249590450$ |
$1$ |
|
$0$ |
$94371840$ |
$3.690361$ |
$-12931706531187361/92926025390625$ |
$[1, -1, 1, -53912480, 558115703772]$ |
\(y^2+xy+y=x^3-x^2-53912480x+558115703772\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 32.48.0-16.g.1.2, $\ldots$ |
$[(-38587/4, 52623615/4)]$ |
319725.s8 |
319725s5 |
319725.s |
319725s |
$8$ |
$16$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{8} \cdot 5^{8} \cdot 7^{8} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.192 |
2B |
$97440$ |
$768$ |
$13$ |
$18.49918090$ |
$1$ |
|
$0$ |
$188743680$ |
$4.036934$ |
$9462467906178230159/5515216702895025$ |
$[1, -1, 1, 485816395, 348821183022]$ |
\(y^2+xy+y=x^3-x^2+485816395x+348821183022\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0-8.q.1.6, 40.96.0-40.bf.2.10, 168.96.0.?, $\ldots$ |
$[(333373911/118, 8310469474385/118)]$ |
319725.t1 |
319725t3 |
319725.t |
319725t |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{9} \cdot 5^{6} \cdot 7^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$8.031404783$ |
$1$ |
|
$2$ |
$75497472$ |
$3.617641$ |
$947531277805646290177/38367$ |
$[1, -1, 1, -2255979830, 41243628949422]$ |
\(y^2+xy+y=x^3-x^2-2255979830x+41243628949422\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 40.24.0-8.n.1.8, 48.24.0.e.1, $\ldots$ |
$[(44193, 5255546)]$ |
319725.t2 |
319725t6 |
319725.t |
319725t |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{30} \cdot 5^{6} \cdot 7^{7} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$16.06280956$ |
$1$ |
|
$0$ |
$150994944$ |
$3.964214$ |
$8471112631466271697/1662662681263647$ |
$[1, -1, 1, -468220955, -3169974639828]$ |
\(y^2+xy+y=x^3-x^2-468220955x-3169974639828\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[(-26990259/52, -99619501045/52)]$ |
319725.t3 |
319725t4 |
319725.t |
319725t |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{18} \cdot 5^{6} \cdot 7^{8} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$24360$ |
$192$ |
$1$ |
$8.031404783$ |
$1$ |
|
$4$ |
$75497472$ |
$3.617641$ |
$244883173420511137/18418027974129$ |
$[1, -1, 1, -143700080, 618482054922]$ |
\(y^2+xy+y=x^3-x^2-143700080x+618482054922\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 40.24.0-4.b.1.2, $\ldots$ |
$[(-5181, 1108890)]$ |
319725.t4 |
319725t2 |
319725.t |
319725t |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{12} \cdot 5^{6} \cdot 7^{10} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$24360$ |
$192$ |
$1$ |
$4.015702391$ |
$1$ |
|
$8$ |
$37748736$ |
$3.271069$ |
$231331938231569617/1472026689$ |
$[1, -1, 1, -140998955, 644456072922]$ |
\(y^2+xy+y=x^3-x^2-140998955x+644456072922\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 40.24.0-4.b.1.3, 56.24.0.m.1, $\ldots$ |
$[(6824, 750)]$ |
319725.t5 |
319725t1 |
319725.t |
319725t |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{14} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$8.031404783$ |
$1$ |
|
$3$ |
$18874368$ |
$2.924496$ |
$-53297461115137/4513839183$ |
$[1, -1, 1, -8643830, 10475024172]$ |
\(y^2+xy+y=x^3-x^2-8643830x+10475024172\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 80.24.0.?, $\ldots$ |
$[(8900, 794583)]$ |
319725.t6 |
319725t5 |
319725.t |
319725t |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{12} \cdot 5^{6} \cdot 7^{7} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$48720$ |
$192$ |
$1$ |
$16.06280956$ |
$1$ |
|
$0$ |
$150994944$ |
$3.964214$ |
$215015459663151503/2552757445339983$ |
$[1, -1, 1, 137602795, 2744569184172]$ |
\(y^2+xy+y=x^3-x^2+137602795x+2744569184172\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[(289119/46, 161798791545/46)]$ |
319725.u1 |
319725u1 |
319725.u |
319725u |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1740$ |
$2$ |
$0$ |
$0.611251932$ |
$1$ |
|
$18$ |
$1214976$ |
$1.537666$ |
$81879581/87$ |
$[1, -1, 1, -72995, 7602032]$ |
\(y^2+xy+y=x^3-x^2-72995x+7602032\) |
1740.2.0.? |
$[(135, 373), (184, 520)]$ |
319725.v1 |
319725v1 |
319725.v |
319725v |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{7} \cdot 5^{2} \cdot 7^{4} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1.782208576$ |
$1$ |
|
$10$ |
$282240$ |
$0.868906$ |
$-810447505/87$ |
$[1, -1, 1, -6845, 219692]$ |
\(y^2+xy+y=x^3-x^2-6845x+219692\) |
174.2.0.? |
$[(48, -20), (45, 13)]$ |
319725.w1 |
319725w1 |
319725.w |
319725w |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{9} \cdot 5^{4} \cdot 7^{2} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$3.532161880$ |
$1$ |
|
$2$ |
$171072$ |
$0.647226$ |
$4725/29$ |
$[1, -1, 1, 295, -6128]$ |
\(y^2+xy+y=x^3-x^2+295x-6128\) |
174.2.0.? |
$[(20, 76)]$ |
319725.x1 |
319725x1 |
319725.x |
319725x |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{9} \cdot 5^{4} \cdot 7^{8} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$1.546645024$ |
$1$ |
|
$10$ |
$1197504$ |
$1.620182$ |
$4725/29$ |
$[1, -1, 1, 14470, 2072872]$ |
\(y^2+xy+y=x^3-x^2+14470x+2072872\) |
174.2.0.? |
$[(184, 3215), (-794/3, 9875/3)]$ |
319725.y1 |
319725y1 |
319725.y |
319725y |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{7} \cdot 5^{2} \cdot 7^{10} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$174$ |
$2$ |
$0$ |
$12.01818561$ |
$1$ |
|
$0$ |
$1975680$ |
$1.841862$ |
$-810447505/87$ |
$[1, -1, 1, -335390, -74683668]$ |
\(y^2+xy+y=x^3-x^2-335390x-74683668\) |
174.2.0.? |
$[(149370/7, 56069999/7)]$ |
319725.z1 |
319725z2 |
319725.z |
319725z |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{6} \cdot 5^{3} \cdot 7^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4060$ |
$12$ |
$0$ |
$2.410779055$ |
$1$ |
|
$6$ |
$1376256$ |
$1.719063$ |
$11697083/841$ |
$[1, -1, 1, -72995, 7121832]$ |
\(y^2+xy+y=x^3-x^2-72995x+7121832\) |
2.3.0.a.1, 116.6.0.?, 140.6.0.?, 4060.12.0.? |
$[(188, 36)]$ |
319725.z2 |
319725z1 |
319725.z |
319725z |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{9} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4060$ |
$12$ |
$0$ |
$4.821558111$ |
$1$ |
|
$5$ |
$688128$ |
$1.372488$ |
$2197/29$ |
$[1, -1, 1, 4180, 484782]$ |
\(y^2+xy+y=x^3-x^2+4180x+484782\) |
2.3.0.a.1, 116.6.0.?, 140.6.0.?, 2030.6.0.?, 4060.12.0.? |
$[(-60, 153)]$ |
319725.ba1 |
319725ba2 |
319725.ba |
319725ba |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{6} \cdot 5^{3} \cdot 7^{3} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4060$ |
$12$ |
$0$ |
$1.462170634$ |
$1$ |
|
$6$ |
$196608$ |
$0.746107$ |
$11697083/841$ |
$[1, -1, 1, -1490, -20338]$ |
\(y^2+xy+y=x^3-x^2-1490x-20338\) |
2.3.0.a.1, 116.6.0.?, 140.6.0.?, 4060.12.0.? |
$[(-26, 30)]$ |
319725.ba2 |
319725ba1 |
319725.ba |
319725ba |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4060$ |
$12$ |
$0$ |
$2.924341268$ |
$1$ |
|
$5$ |
$98304$ |
$0.399533$ |
$2197/29$ |
$[1, -1, 1, 85, -1438]$ |
\(y^2+xy+y=x^3-x^2+85x-1438\) |
2.3.0.a.1, 116.6.0.?, 140.6.0.?, 2030.6.0.?, 4060.12.0.? |
$[(10, 13)]$ |
319725.bb1 |
319725bb2 |
319725.bb |
319725bb |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{8} \cdot 5^{9} \cdot 7^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5529600$ |
$2.417828$ |
$12698260037/7569$ |
$[1, -1, 1, -2679305, 1687834572]$ |
\(y^2+xy+y=x^3-x^2-2679305x+1687834572\) |
2.3.0.a.1, 10.6.0.a.1, 116.6.0.?, 580.12.0.? |
$[]$ |
319725.bb2 |
319725bb1 |
319725.bb |
319725bb |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{10} \cdot 5^{9} \cdot 7^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2764800$ |
$2.071255$ |
$5177717/2349$ |
$[1, -1, 1, -198680, 15893322]$ |
\(y^2+xy+y=x^3-x^2-198680x+15893322\) |
2.3.0.a.1, 20.6.0.c.1, 116.6.0.?, 290.6.0.?, 580.12.0.? |
$[]$ |
319725.bc1 |
319725bc2 |
319725.bc |
319725bc |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{6} \cdot 5^{10} \cdot 7^{8} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5308416$ |
$2.348843$ |
$380920459249/888125$ |
$[1, -1, 1, -1665005, -824851128]$ |
\(y^2+xy+y=x^3-x^2-1665005x-824851128\) |
2.3.0.a.1, 28.6.0.c.1, 58.6.0.a.1, 812.12.0.? |
$[]$ |
319725.bc2 |
319725bc1 |
319725.bc |
319725bc |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{6} \cdot 5^{8} \cdot 7^{7} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$812$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2654208$ |
$2.002270$ |
$-24137569/147175$ |
$[1, -1, 1, -66380, -22341378]$ |
\(y^2+xy+y=x^3-x^2-66380x-22341378\) |
2.3.0.a.1, 14.6.0.b.1, 116.6.0.?, 812.12.0.? |
$[]$ |
319725.bd1 |
319725bd1 |
319725.bd |
319725bd |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( 3^{11} \cdot 5^{16} \cdot 7^{9} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$9.057373005$ |
$1$ |
|
$3$ |
$88473600$ |
$3.785694$ |
$13263598743074512561/23604697265625$ |
$[1, -1, 1, -543698105, 4872234096272]$ |
\(y^2+xy+y=x^3-x^2-543698105x+4872234096272\) |
2.3.0.a.1, 20.6.0.b.1, 1218.6.0.?, 12180.12.0.? |
$[(29670, 3839878)]$ |
319725.bd2 |
319725bd2 |
319725.bd |
319725bd |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 3^{16} \cdot 5^{11} \cdot 7^{12} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$12180$ |
$12$ |
$0$ |
$4.528686502$ |
$1$ |
|
$4$ |
$176947200$ |
$4.132271$ |
$-4228901316132262561/18257731027003125$ |
$[1, -1, 1, -371432480, 8014359096272]$ |
\(y^2+xy+y=x^3-x^2-371432480x+8014359096272\) |
2.3.0.a.1, 20.6.0.a.1, 2436.6.0.?, 12180.12.0.? |
$[(-13452, 3258880)]$ |