| 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 |
| 83760.a1 |
83760l2 |
83760.a |
83760l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{5} \cdot 5^{2} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4188$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$1.235104$ |
$14852119938562384/739941075$ |
$0.90752$ |
$3.77410$ |
$[0, -1, 0, -32516, 2267580]$ |
\(y^2=x^3-x^2-32516x+2267580\) |
2.3.0.a.1, 12.6.0.a.1, 1396.6.0.?, 4188.12.0.? |
$[]$ |
| 83760.a2 |
83760l1 |
83760.a |
83760l |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4188$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$0.888530$ |
$67866673414144/12880063125$ |
$0.93575$ |
$3.05417$ |
$[0, -1, 0, -2141, 31980]$ |
\(y^2=x^3-x^2-2141x+31980\) |
2.3.0.a.1, 12.6.0.b.1, 698.6.0.?, 4188.12.0.? |
$[]$ |
| 83760.b1 |
83760a1 |
83760.b |
83760a |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{4} \cdot 3^{29} \cdot 5^{5} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$63.24463478$ |
$1$ |
|
$0$ |
$3897600$ |
$2.730259$ |
$54591391279520183146496/74850005313575521875$ |
$1.01315$ |
$4.89083$ |
$[0, -1, 0, 1991469, -1266420294]$ |
\(y^2=x^3-x^2+1991469x-1266420294\) |
10470.2.0.? |
$[(2178179344324740178758156106/920154191553, 112566615061978182376962868007076429956840/920154191553)]$ |
| 83760.c1 |
83760d1 |
83760.c |
83760d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4188$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24064$ |
$0.138407$ |
$5266130944/1963125$ |
$0.80034$ |
$2.21928$ |
$[0, -1, 0, -91, -170]$ |
\(y^2=x^3-x^2-91x-170\) |
2.3.0.a.1, 12.6.0.c.1, 698.6.0.?, 4188.12.0.? |
$[]$ |
| 83760.c2 |
83760d2 |
83760.c |
83760d |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3 \cdot 5^{2} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4188$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$48128$ |
$0.484981$ |
$9860720816/9135075$ |
$0.80061$ |
$2.51921$ |
$[0, -1, 0, 284, -1520]$ |
\(y^2=x^3-x^2+284x-1520\) |
2.3.0.a.1, 6.6.0.a.1, 1396.6.0.?, 4188.12.0.? |
$[]$ |
| 83760.d1 |
83760b1 |
83760.d |
83760b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$2.110060765$ |
$1$ |
|
$3$ |
$12288$ |
$-0.003351$ |
$9538484224/78525$ |
$0.79151$ |
$2.27169$ |
$[0, -1, 0, -111, 486]$ |
\(y^2=x^3-x^2-111x+486\) |
2.3.0.a.1, 60.6.0.c.1, 698.6.0.?, 20940.12.0.? |
$[(-6, 30)]$ |
| 83760.d2 |
83760b2 |
83760.d |
83760b |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3 \cdot 5 \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$4.220121530$ |
$1$ |
|
$1$ |
$24576$ |
$0.343222$ |
$-20720464/1827015$ |
$0.81302$ |
$2.41931$ |
$[0, -1, 0, -36, 1056]$ |
\(y^2=x^3-x^2-36x+1056\) |
2.3.0.a.1, 30.6.0.a.1, 1396.6.0.?, 20940.12.0.? |
$[(-19/2, 265/2)]$ |
| 83760.e1 |
83760c1 |
83760.e |
83760c |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{4} \cdot 3 \cdot 5^{3} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1.869968962$ |
$1$ |
|
$2$ |
$16128$ |
$-0.107058$ |
$4499456/130875$ |
$0.77921$ |
$1.93982$ |
$[0, -1, 0, 9, 66]$ |
\(y^2=x^3-x^2+9x+66\) |
10470.2.0.? |
$[(-2, 6)]$ |
| 83760.f1 |
83760m1 |
83760.f |
83760m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$4.066674719$ |
$1$ |
|
$1$ |
$21504$ |
$0.090304$ |
$7192182784/706725$ |
$0.86719$ |
$2.24678$ |
$[0, -1, 0, -101, -324]$ |
\(y^2=x^3-x^2-101x-324\) |
2.3.0.a.1, 20.6.0.b.1, 698.6.0.?, 6980.12.0.? |
$[(109/2, 1025/2)]$ |
| 83760.f2 |
83760m2 |
83760.f |
83760m |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$8.133349438$ |
$1$ |
|
$1$ |
$43008$ |
$0.436878$ |
$817036976/5481045$ |
$0.80069$ |
$2.50769$ |
$[0, -1, 0, 124, -1764]$ |
\(y^2=x^3-x^2+124x-1764\) |
2.3.0.a.1, 20.6.0.a.1, 1396.6.0.?, 6980.12.0.? |
$[(2581/10, 134029/10)]$ |
| 83760.g1 |
83760e2 |
83760.g |
83760e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{6} \cdot 349 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$1.468836886$ |
$1$ |
|
$21$ |
$142848$ |
$1.144640$ |
$27267398550724/3975328125$ |
$0.87592$ |
$3.34061$ |
$[0, -1, 0, -6320, -165168]$ |
\(y^2=x^3-x^2-6320x-165168\) |
2.3.0.a.1, 60.6.0.c.1, 698.6.0.?, 20940.12.0.? |
$[(-56, 100), (-36, 120)]$ |
| 83760.g2 |
83760e1 |
83760.g |
83760e |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{3} \cdot 349^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$5.875347544$ |
$1$ |
|
$11$ |
$71424$ |
$0.798065$ |
$124010187824/411078375$ |
$0.84513$ |
$2.87960$ |
$[0, -1, 0, 660, -14400]$ |
\(y^2=x^3-x^2+660x-14400\) |
2.3.0.a.1, 30.6.0.a.1, 1396.6.0.?, 20940.12.0.? |
$[(20, 80), (160, 2040)]$ |
| 83760.h1 |
83760p1 |
83760.h |
83760p |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{16} \cdot 3 \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$0.817724870$ |
$1$ |
|
$4$ |
$27648$ |
$0.321528$ |
$-13997521/83760$ |
$0.78085$ |
$2.39954$ |
$[0, -1, 0, -80, 960]$ |
\(y^2=x^3-x^2-80x+960\) |
10470.2.0.? |
$[(-8, 32)]$ |
| 83760.i1 |
83760n1 |
83760.i |
83760n |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{19} \cdot 3^{7} \cdot 5^{7} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$2.509528868$ |
$1$ |
|
$2$ |
$931392$ |
$2.099167$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.59651$ |
$[0, -1, 0, -726960, -238478400]$ |
\(y^2=x^3-x^2-726960x-238478400\) |
7.24.0.a.1, 28.48.0-7.a.1.1, 41880.2.0.?, 293160.96.2.? |
$[(2120, 88000)]$ |
| 83760.i2 |
83760n2 |
83760.i |
83760n |
$2$ |
$7$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{13} \cdot 3 \cdot 5 \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$17.56670207$ |
$1$ |
|
$0$ |
$6519744$ |
$3.072121$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.30522$ |
$[0, -1, 0, 2918640, 13254112320]$ |
\(y^2=x^3-x^2+2918640x+13254112320\) |
7.24.0.a.2, 28.48.0-7.a.2.1, 41880.2.0.?, 293160.96.2.? |
$[(65222192/221, 1508488981208/221)]$ |
| 83760.j1 |
83760o1 |
83760.j |
83760o |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{20} \cdot 3^{9} \cdot 5^{5} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1.108235767$ |
$1$ |
|
$4$ |
$552960$ |
$1.818054$ |
$264596923272599/5495493600000$ |
$0.95047$ |
$3.97674$ |
$[0, -1, 0, 21400, 7110000]$ |
\(y^2=x^3-x^2+21400x+7110000\) |
10470.2.0.? |
$[(100, 3200)]$ |
| 83760.k1 |
83760r4 |
83760.k |
83760r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{20} \cdot 349 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$13960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3133440$ |
$2.756260$ |
$1180838681727016392361/299549102783203125$ |
$0.98216$ |
$5.01409$ |
$[0, -1, 0, -3523240, -1906456400]$ |
\(y^2=x^3-x^2-3523240x-1906456400\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.ba.1.4, 698.6.0.?, 1396.24.0.?, $\ldots$ |
$[]$ |
| 83760.k2 |
83760r2 |
83760.k |
83760r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$6980$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1566720$ |
$2.409687$ |
$945775052586419442841/96346494140625$ |
$0.97563$ |
$4.99451$ |
$[0, -1, 0, -3271960, -2276742608]$ |
\(y^2=x^3-x^2-3271960x-2276742608\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 20.24.0-20.a.1.2, 1396.24.0.?, 6980.48.0.? |
$[]$ |
| 83760.k3 |
83760r1 |
83760.k |
83760r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{5} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$13960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$783360$ |
$2.063114$ |
$945705681188329419721/9815625$ |
$1.02529$ |
$4.99450$ |
$[0, -1, 0, -3271880, -2276859600]$ |
\(y^2=x^3-x^2-3271880x-2276859600\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 20.12.0-4.c.1.1, 40.24.0-40.ba.1.2, $\ldots$ |
$[]$ |
| 83760.k4 |
83760r3 |
83760.k |
83760r |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{5} \cdot 349^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$13960$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3133440$ |
$2.756260$ |
$-745126557210057192841/304173774706753125$ |
$0.98024$ |
$5.02056$ |
$[0, -1, 0, -3021960, -2639542608]$ |
\(y^2=x^3-x^2-3021960x-2639542608\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 20.24.0-20.h.1.1, 2792.24.0.?, 13960.48.0.? |
$[]$ |
| 83760.l1 |
83760q1 |
83760.l |
83760q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{4} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$8376$ |
$48$ |
$0$ |
$2.439891390$ |
$1$ |
|
$3$ |
$198144$ |
$1.223454$ |
$2656455463368933376/17668125$ |
$0.97378$ |
$3.98706$ |
$[0, -1, 0, -72705, 7569900]$ |
\(y^2=x^3-x^2-72705x+7569900\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 698.6.0.?, 1396.24.0.?, $\ldots$ |
$[(140, 340)]$ |
| 83760.l2 |
83760q2 |
83760.l |
83760q |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$8376$ |
$48$ |
$0$ |
$1.219945695$ |
$1$ |
|
$3$ |
$396288$ |
$1.570028$ |
$-165720373889394256/428206640625$ |
$0.92228$ |
$3.98729$ |
$[0, -1, 0, -72660, 7579692]$ |
\(y^2=x^3-x^2-72660x+7579692\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 1396.12.0.?, 2792.24.0.?, $\ldots$ |
$[(189, 750)]$ |
| 83760.m1 |
83760f1 |
83760.m |
83760f |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{5} \cdot 5^{3} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$0.527868$ |
$-42140629456/10600875$ |
$0.80153$ |
$2.67918$ |
$[0, -1, 0, -460, -4400]$ |
\(y^2=x^3-x^2-460x-4400\) |
10470.2.0.? |
$[]$ |
| 83760.n1 |
83760g4 |
83760.n |
83760g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{10} \cdot 3^{4} \cdot 5^{8} \cdot 349 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.47 |
2B |
$27920$ |
$192$ |
$3$ |
$3.469077817$ |
$1$ |
|
$7$ |
$688128$ |
$1.842659$ |
$23712713750287241284/11042578125$ |
$0.95468$ |
$4.54705$ |
$[0, -1, 0, -603280, 180555472]$ |
\(y^2=x^3-x^2-603280x+180555472\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.1, 80.48.0.?, 698.6.0.?, $\ldots$ |
$[(204, 8120)]$ |
| 83760.n2 |
83760g2 |
83760.n |
83760g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 349^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.7 |
2Cs |
$13960$ |
$192$ |
$3$ |
$6.938155634$ |
$1$ |
|
$3$ |
$344064$ |
$1.496086$ |
$23518674182577616/499460225625$ |
$0.91088$ |
$3.81465$ |
$[0, -1, 0, -37900, 2800000]$ |
\(y^2=x^3-x^2-37900x+2800000\) |
2.6.0.a.1, 4.24.0-4.a.1.1, 40.48.0-40.k.1.2, 1396.48.0.?, 2792.96.0.?, $\ldots$ |
$[(2480/7, 344520/7)]$ |
| 83760.n3 |
83760g1 |
83760.n |
83760g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.57 |
2B |
$27920$ |
$192$ |
$3$ |
$13.87631126$ |
$1$ |
|
$1$ |
$172032$ |
$1.149513$ |
$914369078695936/375582640725$ |
$0.92562$ |
$3.28359$ |
$[0, -1, 0, -5095, -73718]$ |
\(y^2=x^3-x^2-5095x-73718\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.3, 80.48.0.?, 698.6.0.?, $\ldots$ |
$[(-586526/189, 488880260/189)]$ |
| 83760.n4 |
83760g3 |
83760.n |
83760g |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{10} \cdot 3^{4} \cdot 5^{2} \cdot 349^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.11 |
2B |
$27920$ |
$192$ |
$3$ |
$13.87631126$ |
$1$ |
|
$3$ |
$688128$ |
$1.842659$ |
$1897478013596/30041854292025$ |
$1.00906$ |
$4.00679$ |
$[0, -1, 0, 2600, 8437600]$ |
\(y^2=x^3-x^2+2600x+8437600\) |
2.3.0.a.1, 4.24.0-4.d.1.1, 20.48.0-20.d.1.2, 2792.48.0.?, 5584.96.0.?, $\ldots$ |
$[(1272485/77, 1981342350/77)]$ |
| 83760.o1 |
83760h2 |
83760.o |
83760h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{2} \cdot 349 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$1.242547824$ |
$1$ |
|
$19$ |
$110592$ |
$1.017000$ |
$12577198655824/4636822725$ |
$0.86747$ |
$3.15005$ |
$[0, 1, 0, -3076, 38540]$ |
\(y^2=x^3+x^2-3076x+38540\) |
2.3.0.a.1, 20.6.0.c.1, 698.6.0.?, 6980.12.0.? |
$[(2, 180), (62, 300)]$ |
| 83760.o2 |
83760h1 |
83760.o |
83760h |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 349^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$4.970191299$ |
$1$ |
|
$7$ |
$55296$ |
$0.670427$ |
$16310382536704/443964645$ |
$0.87653$ |
$2.92839$ |
$[0, 1, 0, -1331, -18696]$ |
\(y^2=x^3+x^2-1331x-18696\) |
2.3.0.a.1, 10.6.0.a.1, 1396.6.0.?, 6980.12.0.? |
$[(-20, 18), (76, 570)]$ |
| 83760.p1 |
83760i2 |
83760.p |
83760i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 349^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35840$ |
$0.462228$ |
$19545784144/5481045$ |
$0.79372$ |
$2.57956$ |
$[0, 1, 0, -356, 1740]$ |
\(y^2=x^3+x^2-356x+1740\) |
2.3.0.a.1, 10.6.0.a.1, 1396.6.0.?, 6980.12.0.? |
$[]$ |
| 83760.p2 |
83760i1 |
83760.p |
83760i |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17920$ |
$0.115655$ |
$15657723904/706725$ |
$0.79959$ |
$2.31541$ |
$[0, 1, 0, -131, -600]$ |
\(y^2=x^3+x^2-131x-600\) |
2.3.0.a.1, 20.6.0.c.1, 698.6.0.?, 6980.12.0.? |
$[]$ |
| 83760.q1 |
83760s1 |
83760.q |
83760s |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$0.316495986$ |
$1$ |
|
$6$ |
$49152$ |
$0.650092$ |
$-770842973809/47115$ |
$0.85360$ |
$3.14834$ |
$[0, 1, 0, -3056, 64020]$ |
\(y^2=x^3+x^2-3056x+64020\) |
10470.2.0.? |
$[(34, 24)]$ |
| 83760.r1 |
83760t2 |
83760.r |
83760t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$0.706224450$ |
$1$ |
|
$9$ |
$153600$ |
$1.164181$ |
$709947138956329/6360525$ |
$0.90579$ |
$3.75045$ |
$[0, 1, 0, -29736, 1963764]$ |
\(y^2=x^3+x^2-29736x+1963764\) |
2.3.0.a.1, 60.6.0.c.1, 698.6.0.?, 20940.12.0.? |
$[(102, 48)]$ |
| 83760.r2 |
83760t1 |
83760.r |
83760t |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$1.412448900$ |
$1$ |
|
$3$ |
$76800$ |
$0.817608$ |
$-161789533849/16443135$ |
$0.84199$ |
$3.02488$ |
$[0, 1, 0, -1816, 31700]$ |
\(y^2=x^3+x^2-1816x+31700\) |
2.3.0.a.1, 30.6.0.a.1, 1396.6.0.?, 20940.12.0.? |
$[(14, 96)]$ |
| 83760.s1 |
83760u2 |
83760.s |
83760u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3 \cdot 5^{3} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$78336$ |
$0.745947$ |
$4094830824784/45675375$ |
$0.84364$ |
$3.05106$ |
$[0, 1, 0, -2116, -37816]$ |
\(y^2=x^3+x^2-2116x-37816\) |
2.3.0.a.1, 60.6.0.a.1, 1396.6.0.?, 20940.12.0.? |
$[]$ |
| 83760.s2 |
83760u1 |
83760.s |
83760u |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{6} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$39168$ |
$0.399373$ |
$97152876544/49078125$ |
$0.88110$ |
$2.47643$ |
$[0, 1, 0, -241, 434]$ |
\(y^2=x^3+x^2-241x+434\) |
2.3.0.a.1, 60.6.0.b.1, 698.6.0.?, 20940.12.0.? |
$[]$ |
| 83760.t1 |
83760k1 |
83760.t |
83760k |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1.636663337$ |
$1$ |
|
$2$ |
$14592$ |
$-0.192671$ |
$702464/47115$ |
$0.77122$ |
$1.85070$ |
$[0, 1, 0, 5, -40]$ |
\(y^2=x^3+x^2+5x-40\) |
10470.2.0.? |
$[(8, 24)]$ |
| 83760.u1 |
83760w1 |
83760.u |
83760w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{13} \cdot 3^{5} \cdot 5^{3} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41880$ |
$2$ |
$0$ |
$0.255341751$ |
$1$ |
|
$8$ |
$112320$ |
$0.779152$ |
$881974079/21201750$ |
$0.86036$ |
$2.87743$ |
$[0, 1, 0, 320, -13900]$ |
\(y^2=x^3+x^2+320x-13900\) |
41880.2.0.? |
$[(50, 360)]$ |
| 83760.v1 |
83760j1 |
83760.v |
83760j |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41880$ |
$2$ |
$0$ |
$0.279860929$ |
$1$ |
|
$6$ |
$37056$ |
$0.433612$ |
$-32044133522/47115$ |
$0.81487$ |
$2.80684$ |
$[0, 1, 0, -840, 9108]$ |
\(y^2=x^3+x^2-840x+9108\) |
41880.2.0.? |
$[(18, 12)]$ |
| 83760.w1 |
83760v4 |
83760.w |
83760v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 349^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8376$ |
$48$ |
$0$ |
$8.206242189$ |
$1$ |
|
$1$ |
$2985984$ |
$2.491276$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.02897$ |
$[0, 1, 0, -3727000, -2769555052]$ |
\(y^2=x^3+x^2-3727000x-2769555052\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 12.24.0-12.h.1.1, 2792.24.0.?, 8376.48.0.? |
$[(-54361/7, 342210/7)]$ |
| 83760.w2 |
83760v3 |
83760.w |
83760v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{18} \cdot 3^{12} \cdot 5^{8} \cdot 349 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$8376$ |
$48$ |
$0$ |
$2.051560547$ |
$1$ |
|
$9$ |
$2985984$ |
$2.491276$ |
$235301185027835613721/4636822725000000$ |
$0.97060$ |
$4.87179$ |
$[0, 1, 0, -2057880, 1116062100]$ |
\(y^2=x^3+x^2-2057880x+1116062100\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.8, 698.6.0.?, 1396.24.0.?, $\ldots$ |
$[(540, 12750)]$ |
| 83760.w3 |
83760v2 |
83760.w |
83760v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( 2^{24} \cdot 3^{6} \cdot 5^{4} \cdot 349^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4188$ |
$48$ |
$0$ |
$4.103121094$ |
$1$ |
|
$5$ |
$1492992$ |
$2.144703$ |
$537369779909439001/227309898240000$ |
$0.95787$ |
$4.33526$ |
$[0, 1, 0, -271000, -28255852]$ |
\(y^2=x^3+x^2-271000x-28255852\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.2, 1396.24.0.?, 4188.48.0.? |
$[(-169, 3570)]$ |
| 83760.w4 |
83760v1 |
83760.w |
83760v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 349 \) |
\( - 2^{36} \cdot 3^{3} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$8376$ |
$48$ |
$0$ |
$8.206242189$ |
$1$ |
|
$1$ |
$746496$ |
$1.798128$ |
$4916382075769319/3952292659200$ |
$0.93742$ |
$3.92116$ |
$[0, 1, 0, 56680, -3221100]$ |
\(y^2=x^3+x^2+56680x-3221100\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.ba.1.12, $\ldots$ |
$[(15025/4, 1897455/4)]$ |
