| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 251280.a1 |
251280a1 |
251280.a |
251280a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{13} \cdot 3^{11} \cdot 5^{3} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41880$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$898560$ |
$1.328459$ |
$881974079/21201750$ |
$0.86036$ |
$3.15332$ |
$1$ |
$[0, 0, 0, 2877, 378178]$ |
\(y^2=x^3+2877x+378178\) |
41880.2.0.? |
$[ ]$ |
$1$ |
| 251280.b1 |
251280b1 |
251280.b |
251280b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 349 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$2.514859737$ |
$1$ |
|
$6$ |
$116736$ |
$0.356635$ |
$702464/47115$ |
$0.77122$ |
$2.21730$ |
$1$ |
$[0, 0, 0, 42, 1123]$ |
\(y^2=x^3+42x+1123\) |
10470.2.0.? |
$[(11, 54), (17/2, 297/2)]$ |
$1$ |
| 251280.c1 |
251280c1 |
251280.c |
251280c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$9.513933181$ |
$1$ |
|
$1$ |
$1596672$ |
$1.741680$ |
$120441672177811456/9515703125$ |
$0.99548$ |
$3.91611$ |
$1$ |
$[0, 0, 0, -233328, 43377923]$ |
\(y^2=x^3-233328x+43377923\) |
2.3.0.a.1, 10.6.0.a.1, 1396.6.0.?, 6980.12.0.? |
$[(67057/17, 6463458/17)]$ |
$1$ |
| 251280.c2 |
251280c2 |
251280.c |
251280c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{14} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$19.02786636$ |
$1$ |
|
$1$ |
$3193344$ |
$2.088253$ |
$-6107600150982736/2130126953125$ |
$0.90861$ |
$3.93723$ |
$1$ |
$[0, 0, 0, -217623, 49468322]$ |
\(y^2=x^3-217623x+49468322\) |
2.3.0.a.1, 20.6.0.c.1, 1396.6.0.?, 6980.12.0.? |
$[(125979137/646, 905546586647/646)]$ |
$1$ |
| 251280.d1 |
251280d1 |
251280.d |
251280d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{11} \cdot 3^{9} \cdot 5 \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41880$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$296448$ |
$0.982918$ |
$-32044133522/47115$ |
$0.81487$ |
$3.08897$ |
$1$ |
$[0, 0, 0, -7563, -253478]$ |
\(y^2=x^3-7563x-253478\) |
41880.2.0.? |
$[ ]$ |
$1$ |
| 251280.e1 |
251280e1 |
251280.e |
251280e |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$698$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$172800$ |
$0.690523$ |
$16777216/8725$ |
$0.86945$ |
$2.53693$ |
$1$ |
$[0, 0, 0, -768, 2608]$ |
\(y^2=x^3-768x+2608\) |
698.2.0.? |
$[ ]$ |
$1$ |
| 251280.f1 |
251280f2 |
251280.f |
251280f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{6} \cdot 349 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$3.508706446$ |
$1$ |
|
$15$ |
$1142784$ |
$1.693945$ |
$27267398550724/3975328125$ |
$0.87592$ |
$3.57558$ |
$1$ |
$[0, 0, 0, -56883, 4516418]$ |
\(y^2=x^3-56883x+4516418\) |
2.3.0.a.1, 60.6.0.c.1, 698.6.0.?, 20940.12.0.? |
$[(13, 1944), (-31, 2500)]$ |
$1$ |
| 251280.f2 |
251280f1 |
251280.f |
251280f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 349^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$20940$ |
$12$ |
$0$ |
$14.03482578$ |
$1$ |
|
$7$ |
$571392$ |
$1.347372$ |
$124010187824/411078375$ |
$0.84513$ |
$3.15530$ |
$1$ |
$[0, 0, 0, 5937, 382862]$ |
\(y^2=x^3+5937x+382862\) |
2.3.0.a.1, 30.6.0.a.1, 1396.6.0.?, 20940.12.0.? |
$[(97, 1368), (53, 920)]$ |
$1$ |
| 251280.g1 |
251280g2 |
251280.g |
251280g |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 349^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4188$ |
$16$ |
$0$ |
$3.486249908$ |
$1$ |
|
$4$ |
$864000$ |
$1.601028$ |
$271466693656576/1062713725$ |
$0.95396$ |
$3.64891$ |
$1$ |
$[0, 0, 0, -77088, -8210212]$ |
\(y^2=x^3-77088x-8210212\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 698.2.0.?, 2094.8.0.?, 4188.16.0.? |
$[(506, 9074), (-1379/3, 1745/3)]$ |
$1$ |
| 251280.g2 |
251280g1 |
251280.g |
251280g |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 349 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4188$ |
$16$ |
$0$ |
$3.486249908$ |
$1$ |
|
$6$ |
$288000$ |
$1.051722$ |
$78054424576/5453125$ |
$0.88565$ |
$2.99313$ |
$1$ |
$[0, 0, 0, -5088, 130988]$ |
\(y^2=x^3-5088x+130988\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 698.2.0.?, 2094.8.0.?, 4188.16.0.? |
$[(14, 250), (-319/2, 1375/2)]$ |
$1$ |
| 251280.h1 |
251280h1 |
251280.h |
251280h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{15} \cdot 3^{3} \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41880$ |
$2$ |
$0$ |
$0.567312983$ |
$1$ |
|
$4$ |
$103680$ |
$0.446146$ |
$-1860867/13960$ |
$0.78008$ |
$2.30705$ |
$1$ |
$[0, 0, 0, -123, 1962]$ |
\(y^2=x^3-123x+1962\) |
41880.2.0.? |
$[(-3, 48)]$ |
$1$ |
| 251280.i1 |
251280i1 |
251280.i |
251280i |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{20} \cdot 3^{15} \cdot 5^{5} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$2.955661695$ |
$1$ |
|
$4$ |
$4423680$ |
$2.367363$ |
$264596923272599/5495493600000$ |
$0.95047$ |
$4.15550$ |
$1$ |
$[0, 0, 0, 192597, -192162598]$ |
\(y^2=x^3+192597x-192162598\) |
10470.2.0.? |
$[(469, 1152)]$ |
$1$ |
| 251280.j1 |
251280j1 |
251280.j |
251280j |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{19} \cdot 3^{13} \cdot 5^{7} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$293160$ |
$96$ |
$2$ |
$2.949127028$ |
$1$ |
|
$2$ |
$7451136$ |
$2.648472$ |
$-10372797669976737841/7632630000000$ |
$0.95720$ |
$4.72052$ |
$1$ |
$[0, 0, 0, -6542643, 6445459442]$ |
\(y^2=x^3-6542643x+6445459442\) |
7.24.0.a.1, 84.48.0.?, 41880.2.0.?, 97720.48.0.?, 293160.96.2.? |
$[(1639, 11178)]$ |
$1$ |
| 251280.j2 |
251280j2 |
251280.j |
251280j |
$2$ |
$7$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5 \cdot 349^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$293160$ |
$96$ |
$2$ |
$20.64388920$ |
$1$ |
|
$0$ |
$52157952$ |
$3.621429$ |
$671282315177095816559/18919046447754148470$ |
$1.10931$ |
$5.36661$ |
$1$ |
$[0, 0, 0, 26267757, -357887300398]$ |
\(y^2=x^3+26267757x-357887300398\) |
7.24.0.a.2, 84.48.0.?, 41880.2.0.?, 97720.48.0.?, 293160.96.2.? |
$[(6544868071/407, 532392751694934/407)]$ |
$1$ |
| 251280.k1 |
251280k1 |
251280.k |
251280k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{11} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$15.00866245$ |
$1$ |
|
$0$ |
$1351680$ |
$1.751719$ |
$-132156320421888/17041015625$ |
$0.93951$ |
$3.64927$ |
$1$ |
$[0, 0, 0, -72198, -8256897]$ |
\(y^2=x^3-72198x-8256897\) |
10470.2.0.? |
$[(2204179/83, 675937592/83)]$ |
$1$ |
| 251280.l1 |
251280l1 |
251280.l |
251280l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$2.291873112$ |
$1$ |
|
$2$ |
$221184$ |
$0.870834$ |
$-13997521/83760$ |
$0.78085$ |
$2.71765$ |
$1$ |
$[0, 0, 0, -723, -25198]$ |
\(y^2=x^3-723x-25198\) |
10470.2.0.? |
$[(217, 3168)]$ |
$1$ |
| 251280.m1 |
251280m1 |
251280.m |
251280m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{4} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$698$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$353280$ |
$0.953272$ |
$209240544256/218125$ |
$0.82398$ |
$3.07243$ |
$1$ |
$[0, 0, 0, -7068, 228508]$ |
\(y^2=x^3-7068x+228508\) |
698.2.0.? |
$[ ]$ |
$1$ |
| 251280.n1 |
251280n4 |
251280.n |
251280n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{20} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$25067520$ |
$3.305565$ |
$1180838681727016392361/299549102783203125$ |
$0.98216$ |
$5.10120$ |
$2$ |
$[0, 0, 0, -31709163, 51506031962]$ |
\(y^2=x^3-31709163x+51506031962\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.ba.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.n2 |
251280n2 |
251280.n |
251280n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$20940$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12533760$ |
$2.958992$ |
$945775052586419442841/96346494140625$ |
$0.97563$ |
$5.08335$ |
$1$ |
$[0, 0, 0, -29447643, 61501498058]$ |
\(y^2=x^3-29447643x+61501498058\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 60.24.0-20.a.1.2, 1396.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.n3 |
251280n1 |
251280.n |
251280n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{5} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6266880$ |
$2.612419$ |
$945705681188329419721/9815625$ |
$1.02529$ |
$5.08334$ |
$2$ |
$[0, 0, 0, -29446923, 61504656122]$ |
\(y^2=x^3-29446923x+61504656122\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.ba.1, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.n4 |
251280n3 |
251280.n |
251280n |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{12} \cdot 3^{14} \cdot 5^{5} \cdot 349^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$41880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$25067520$ |
$3.305565$ |
$-745126557210057192841/304173774706753125$ |
$0.98024$ |
$5.10710$ |
$2$ |
$[0, 0, 0, -27197643, 71294848058]$ |
\(y^2=x^3-27197643x+71294848058\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0.h.1, 60.24.0-20.h.1.1, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.o1 |
251280o1 |
251280.o |
251280o |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$8.499786187$ |
$1$ |
|
$0$ |
$67584$ |
$0.330960$ |
$-60423432192/43625$ |
$0.80879$ |
$2.48460$ |
$1$ |
$[0, 0, 0, -618, -5917]$ |
\(y^2=x^3-618x-5917\) |
10470.2.0.? |
$[(3751/9, 185534/9)]$ |
$1$ |
| 251280.p1 |
251280p1 |
251280.p |
251280p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 349 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$698$ |
$2$ |
$0$ |
$8.684467699$ |
$1$ |
|
$4$ |
$354816$ |
$0.996542$ |
$10755542016/5453125$ |
$0.97097$ |
$2.83373$ |
$1$ |
$[0, 0, 0, -2628, 18252]$ |
\(y^2=x^3-2628x+18252\) |
698.2.0.? |
$[(1, 125), (3001, 164375)]$ |
$1$ |
| 251280.q1 |
251280q1 |
251280.q |
251280q |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{4} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.22 |
2B |
$2792$ |
$48$ |
$0$ |
$18.60752036$ |
$1$ |
|
$1$ |
$1585152$ |
$1.772760$ |
$2656455463368933376/17668125$ |
$0.97378$ |
$4.16491$ |
$2$ |
$[0, 0, 0, -654348, -203732953]$ |
\(y^2=x^3-654348x-203732953\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.2, 698.6.0.?, 1396.24.0.?, $\ldots$ |
$[(3949702009/1777, 171553458010050/1777)]$ |
$1$ |
| 251280.q2 |
251280q2 |
251280.q |
251280q |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.37 |
2B |
$2792$ |
$48$ |
$0$ |
$37.21504072$ |
$1$ |
|
$1$ |
$3170304$ |
$2.119335$ |
$-165720373889394256/428206640625$ |
$0.92228$ |
$4.16511$ |
$1$ |
$[0, 0, 0, -653943, -203997742]$ |
\(y^2=x^3-653943x-203997742\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.1, 1396.12.0.?, 2792.48.0.? |
$[(254770355419488122/5976983, 127728972554276988652508822/5976983)]$ |
$1$ |
| 251280.r1 |
251280r1 |
251280.r |
251280r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$698$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$225792$ |
$0.985101$ |
$1177583616/218125$ |
$0.81262$ |
$2.87882$ |
$1$ |
$[0, 0, 0, -3168, -56592]$ |
\(y^2=x^3-3168x-56592\) |
698.2.0.? |
$[ ]$ |
$1$ |
| 251280.s1 |
251280s1 |
251280.s |
251280s |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$698$ |
$2$ |
$0$ |
$2.575429721$ |
$1$ |
|
$2$ |
$103680$ |
$0.585001$ |
$850518016/8725$ |
$0.77012$ |
$2.62967$ |
$1$ |
$[0, 0, 0, -1128, -14452]$ |
\(y^2=x^3-1128x-14452\) |
698.2.0.? |
$[(-19, 11)]$ |
$1$ |
| 251280.t1 |
251280t2 |
251280.t |
251280t |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 349^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$20940$ |
$48$ |
$1$ |
$55.60201605$ |
$1$ |
|
$0$ |
$12000000$ |
$2.845646$ |
$77100773558515019776/129439594418725$ |
$0.97816$ |
$4.88174$ |
$1$ |
$[0, 0, 0, -12768528, -17535917648]$ |
\(y^2=x^3-12768528x-17535917648\) |
5.12.0.a.2, 60.24.0-5.a.2.2, 698.2.0.?, 3490.24.1.?, 20940.48.1.? |
$[(2917050332300523667208361/10431283541, 4935395111818764803389420797295019995/10431283541)]$ |
$1$ |
| 251280.t2 |
251280t1 |
251280.t |
251280t |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{10} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$20940$ |
$48$ |
$1$ |
$11.12040321$ |
$1$ |
|
$0$ |
$2400000$ |
$2.040928$ |
$9551878138187776/3408203125$ |
$0.93070$ |
$4.15824$ |
$1$ |
$[0, 0, 0, -636528, 195407152]$ |
\(y^2=x^3-636528x+195407152\) |
5.12.0.a.1, 60.24.0-5.a.1.2, 698.2.0.?, 3490.24.1.?, 20940.48.1.? |
$[(12210321/161, 1260934375/161)]$ |
$1$ |
| 251280.u1 |
251280u1 |
251280.u |
251280u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$430080$ |
$1.077175$ |
$-42140629456/10600875$ |
$0.80153$ |
$2.97258$ |
$1$ |
$[0, 0, 0, -4143, 122942]$ |
\(y^2=x^3-4143x+122942\) |
10470.2.0.? |
$[ ]$ |
$1$ |
| 251280.v1 |
251280v1 |
251280.v |
251280v |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5 \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1.621101920$ |
$1$ |
|
$2$ |
$45056$ |
$0.048170$ |
$2963088/1745$ |
$0.65562$ |
$1.90945$ |
$1$ |
$[0, 0, 0, 57, 22]$ |
\(y^2=x^3+57x+22\) |
10470.2.0.? |
$[(2, 12)]$ |
$1$ |
| 251280.w1 |
251280w2 |
251280.w |
251280w |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$41880$ |
$12$ |
$0$ |
$4.102088142$ |
$1$ |
|
$3$ |
$2116608$ |
$1.691332$ |
$178233916177926/8725$ |
$0.89579$ |
$4.04737$ |
$1$ |
$[0, 0, 0, -402003, 98105202]$ |
\(y^2=x^3-402003x+98105202\) |
2.3.0.a.1, 60.6.0.c.1, 8376.6.0.?, 13960.6.0.?, 41880.12.0.? |
$[(382, 532)]$ |
$1$ |
| 251280.w2 |
251280w1 |
251280.w |
251280w |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5 \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$41880$ |
$12$ |
$0$ |
$2.051044071$ |
$1$ |
|
$5$ |
$1058304$ |
$1.344757$ |
$-86590629612/609005$ |
$0.81248$ |
$3.37900$ |
$1$ |
$[0, 0, 0, -25083, 1538298]$ |
\(y^2=x^3-25083x+1538298\) |
2.3.0.a.1, 30.6.0.a.1, 8376.6.0.?, 13960.6.0.?, 41880.12.0.? |
$[(33, 864)]$ |
$1$ |
| 251280.x1 |
251280x3 |
251280.x |
251280x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 349^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$23887872$ |
$3.040581$ |
$1397790417785316543001/640892891563200$ |
$0.97710$ |
$5.11476$ |
$1$ |
$[0, 0, 0, -33543003, 74744443402]$ |
\(y^2=x^3-33543003x+74744443402\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 2792.24.0.?, 8376.48.0.? |
$[ ]$ |
$1$ |
| 251280.x2 |
251280x4 |
251280.x |
251280x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{18} \cdot 3^{18} \cdot 5^{8} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23887872$ |
$3.040581$ |
$235301185027835613721/4636822725000000$ |
$0.97060$ |
$4.97147$ |
$2$ |
$[0, 0, 0, -18520923, -30152197622]$ |
\(y^2=x^3-18520923x-30152197622\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.x3 |
251280x2 |
251280.x |
251280x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{24} \cdot 3^{12} \cdot 5^{4} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$4188$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$11943936$ |
$2.694008$ |
$537369779909439001/227309898240000$ |
$0.95787$ |
$4.48234$ |
$1$ |
$[0, 0, 0, -2439003, 760469002]$ |
\(y^2=x^3-2439003x+760469002\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 1396.24.0.?, 4188.48.0.? |
$[ ]$ |
$1$ |
| 251280.x4 |
251280x1 |
251280.x |
251280x |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{36} \cdot 3^{9} \cdot 5^{2} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$8376$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5971968$ |
$2.347435$ |
$4916382075769319/3952292659200$ |
$0.93742$ |
$4.10483$ |
$2$ |
$[0, 0, 0, 510117, 87479818]$ |
\(y^2=x^3+510117x+87479818\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 2094.6.0.?, 2792.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.y1 |
251280y4 |
251280.y |
251280y |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$83760$ |
$192$ |
$3$ |
$12.57287157$ |
$1$ |
|
$1$ |
$5505024$ |
$2.391968$ |
$23712713750287241284/11042578125$ |
$0.95468$ |
$4.67542$ |
$2$ |
$[0, 0, 0, -5429523, -4869568222]$ |
\(y^2=x^3-5429523x-4869568222\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 24.24.0-8.o.1.8, $\ldots$ |
$[(-131804927/313, 1350346140/313)]$ |
$1$ |
| 251280.y2 |
251280y2 |
251280.y |
251280y |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 349^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$41880$ |
$192$ |
$3$ |
$25.14574314$ |
$1$ |
|
$3$ |
$2752512$ |
$2.045391$ |
$23518674182577616/499460225625$ |
$0.91088$ |
$4.00773$ |
$1$ |
$[0, 0, 0, -341103, -75258898]$ |
\(y^2=x^3-341103x-75258898\) |
2.6.0.a.1, 4.12.0.a.1, 12.24.0-4.a.1.1, 40.24.0.k.1, 120.48.0.?, $\ldots$ |
$[(1270842540094/29145, 1301368822492160422/29145)]$ |
$1$ |
| 251280.y3 |
251280y1 |
251280.y |
251280y |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$83760$ |
$192$ |
$3$ |
$12.57287157$ |
$1$ |
|
$1$ |
$1376256$ |
$1.698818$ |
$914369078695936/375582640725$ |
$0.92562$ |
$3.52359$ |
$2$ |
$[0, 0, 0, -45858, 2036243]$ |
\(y^2=x^3-45858x+2036243\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 24.24.0-8.o.1.6, $\ldots$ |
$[(-1020881/79, 1120042350/79)]$ |
$1$ |
| 251280.y4 |
251280y3 |
251280.y |
251280y |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 349^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$83760$ |
$192$ |
$3$ |
$12.57287157$ |
$1$ |
|
$1$ |
$5505024$ |
$2.391968$ |
$1897478013596/30041854292025$ |
$1.00906$ |
$4.18289$ |
$2$ |
$[0, 0, 0, 23397, -227838598]$ |
\(y^2=x^3+23397x-227838598\) |
2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.1, 20.24.0.d.1, 60.48.0-20.d.1.2, $\ldots$ |
$[(43692787/87, 288741935710/87)]$ |
$1$ |
| 251280.z1 |
251280z1 |
251280.z |
251280z |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{5} \cdot 349 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10470$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1228800$ |
$1.369993$ |
$-961504803/1090625$ |
$0.79660$ |
$3.21485$ |
$1$ |
$[0, 0, 0, -8883, 554418]$ |
\(y^2=x^3-8883x+554418\) |
10470.2.0.? |
$[ ]$ |
$1$ |
| 251280.ba1 |
251280ba1 |
251280.ba |
251280ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$41880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$288768$ |
$0.836600$ |
$5168743489/1745$ |
$0.80181$ |
$2.99778$ |
$2$ |
$[0, 0, 0, -5187, 143746]$ |
\(y^2=x^3-5187x+143746\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 3490.6.0.?, 6980.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.ba2 |
251280ba2 |
251280.ba |
251280ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$41880$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$577536$ |
$1.183174$ |
$-3301293169/3045025$ |
$0.81688$ |
$3.03838$ |
$1$ |
$[0, 0, 0, -4467, 185074]$ |
\(y^2=x^3-4467x+185074\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 6980.12.0.?, 13960.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 251280.bb1 |
251280bb2 |
251280.bb |
251280bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{8} \cdot 5 \cdot 349^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$4.303055534$ |
$1$ |
|
$3$ |
$286720$ |
$1.011534$ |
$19545784144/5481045$ |
$0.79372$ |
$2.88177$ |
$1$ |
$[0, 0, 0, -3207, -50186]$ |
\(y^2=x^3-3207x-50186\) |
2.3.0.a.1, 10.6.0.a.1, 1396.6.0.?, 6980.12.0.? |
$[(1350, 49558)]$ |
$1$ |
| 251280.bb2 |
251280bb1 |
251280.bb |
251280bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$2.151527767$ |
$1$ |
|
$3$ |
$143360$ |
$0.664961$ |
$15657723904/706725$ |
$0.79959$ |
$2.64096$ |
$1$ |
$[0, 0, 0, -1182, 15019]$ |
\(y^2=x^3-1182x+15019\) |
2.3.0.a.1, 20.6.0.c.1, 698.6.0.?, 6980.12.0.? |
$[(-37, 90)]$ |
$1$ |
| 251280.bc1 |
251280bc1 |
251280.bc |
251280bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$698$ |
$2$ |
$0$ |
$2.385663881$ |
$1$ |
|
$2$ |
$122880$ |
$0.474118$ |
$30505984/8725$ |
$0.69226$ |
$2.36203$ |
$1$ |
$[0, 0, 0, -372, 1964]$ |
\(y^2=x^3-372x+1964\) |
698.2.0.? |
$[(-7, 65)]$ |
$1$ |
| 251280.bd1 |
251280bd2 |
251280.bd |
251280bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 349^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4188$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1290240$ |
$1.784410$ |
$14852119938562384/739941075$ |
$0.90752$ |
$3.97076$ |
$1$ |
$[0, 0, 0, -292647, -60932014]$ |
\(y^2=x^3-292647x-60932014\) |
2.3.0.a.1, 12.6.0.a.1, 1396.6.0.?, 4188.12.0.? |
$[ ]$ |
$1$ |
| 251280.bd2 |
251280bd1 |
251280.bd |
251280bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{4} \cdot 349 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4188$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$645120$ |
$1.437836$ |
$67866673414144/12880063125$ |
$0.93575$ |
$3.31444$ |
$1$ |
$[0, 0, 0, -19272, -844189]$ |
\(y^2=x^3-19272x-844189\) |
2.3.0.a.1, 12.6.0.b.1, 698.6.0.?, 4188.12.0.? |
$[ ]$ |
$1$ |
| 251280.be1 |
251280be2 |
251280.be |
251280be |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 349 \) |
\( 2^{8} \cdot 3^{18} \cdot 5^{2} \cdot 349 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6980$ |
$12$ |
$0$ |
$4.909494855$ |
$1$ |
|
$3$ |
$884736$ |
$1.566307$ |
$12577198655824/4636822725$ |
$0.86747$ |
$3.40185$ |
$1$ |
$[0, 0, 0, -27687, -1068266]$ |
\(y^2=x^3-27687x-1068266\) |
2.3.0.a.1, 20.6.0.c.1, 698.6.0.?, 6980.12.0.? |
$[(725, 18972)]$ |
$1$ |
