| 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 |
| 23850.a1 |
23850bm1 |
23850.a |
23850bm |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2 \cdot 3^{11} \cdot 5^{4} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$0.254223490$ |
$1$ |
|
$6$ |
$27840$ |
$0.621346$ |
$42128975/25758$ |
$0.90351$ |
$3.03443$ |
$[1, -1, 0, 558, 1066]$ |
\(y^2+xy=x^3-x^2+558x+1066\) |
1272.2.0.? |
$[(29, 188)]$ |
| 23850.b1 |
23850u1 |
23850.b |
23850u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$69120$ |
$1.088928$ |
$-24515367625/11448$ |
$0.93095$ |
$3.98547$ |
$[1, -1, 0, -13617, -608459]$ |
\(y^2+xy=x^3-x^2-13617x-608459\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 1272.8.0.?, 6360.16.0.? |
$[]$ |
| 23850.b2 |
23850u2 |
23850.b |
23850u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{6} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.638233$ |
$9731810375/228675072$ |
$0.99759$ |
$4.25872$ |
$[1, -1, 0, 10008, -2427584]$ |
\(y^2+xy=x^3-x^2+10008x-2427584\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 1272.8.0.?, 6360.16.0.? |
$[]$ |
| 23850.c1 |
23850bh1 |
23850.c |
23850bh |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{10} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.011864573$ |
$1$ |
|
$2$ |
$129600$ |
$1.412239$ |
$21434375/22472$ |
$0.93689$ |
$3.92543$ |
$[1, -1, 0, 11133, 404541]$ |
\(y^2+xy=x^3-x^2+11133x+404541\) |
8.2.0.a.1 |
$[(43, 959)]$ |
| 23850.d1 |
23850bg2 |
23850.d |
23850bg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{7} \cdot 53^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$5.392492416$ |
$1$ |
|
$2$ |
$663552$ |
$2.343391$ |
$279635170382084089/5242268160$ |
$0.98345$ |
$5.59753$ |
$[1, -1, 0, -3065292, -2064846384]$ |
\(y^2+xy=x^3-x^2-3065292x-2064846384\) |
2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.? |
$[(2415, 66711)]$ |
| 23850.d2 |
23850bg1 |
23850.d |
23850bg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{8} \cdot 53 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$2.696246208$ |
$1$ |
|
$5$ |
$331776$ |
$1.996820$ |
$-61765716432889/9378201600$ |
$0.94219$ |
$4.78550$ |
$[1, -1, 0, -185292, -34446384]$ |
\(y^2+xy=x^3-x^2-185292x-34446384\) |
2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.? |
$[(879, 21498)]$ |
| 23850.e1 |
23850i2 |
23850.e |
23850i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2 \cdot 3^{3} \cdot 5^{6} \cdot 53^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1272$ |
$12$ |
$0$ |
$0.934785683$ |
$1$ |
|
$14$ |
$14336$ |
$0.552573$ |
$96702579/5618$ |
$0.93805$ |
$3.10923$ |
$[1, -1, 0, -717, 7191]$ |
\(y^2+xy=x^3-x^2-717x+7191\) |
2.3.0.a.1, 24.6.0.a.1, 424.6.0.?, 636.6.0.?, 1272.12.0.? |
$[(9, 33), (19, 3)]$ |
| 23850.e2 |
23850i1 |
23850.e |
23850i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 53 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1272$ |
$12$ |
$0$ |
$0.934785683$ |
$1$ |
|
$21$ |
$7168$ |
$0.206000$ |
$9261/212$ |
$0.83805$ |
$2.55351$ |
$[1, -1, 0, 33, 441]$ |
\(y^2+xy=x^3-x^2+33x+441\) |
2.3.0.a.1, 24.6.0.d.1, 318.6.0.?, 424.6.0.?, 1272.12.0.? |
$[(9, 33), (0, 21)]$ |
| 23850.f1 |
23850c1 |
23850.f |
23850c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{2} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$2.491930441$ |
$1$ |
|
$2$ |
$9504$ |
$0.308117$ |
$-1250235/424$ |
$0.75098$ |
$2.73886$ |
$[1, -1, 0, -177, -1099]$ |
\(y^2+xy=x^3-x^2-177x-1099\) |
1272.2.0.? |
$[(55, 364)]$ |
| 23850.g1 |
23850t1 |
23850.g |
23850t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{33} \cdot 3^{13} \cdot 5^{2} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$709632$ |
$2.586578$ |
$-539804707947581305945/995667908493312$ |
$1.02409$ |
$5.70973$ |
$[1, -1, 0, -4464027, 3637162021]$ |
\(y^2+xy=x^3-x^2-4464027x+3637162021\) |
1272.2.0.? |
$[]$ |
| 23850.h1 |
23850bl2 |
23850.h |
23850bl |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{3} \cdot 3^{14} \cdot 5^{9} \cdot 53^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$2.870798437$ |
$1$ |
|
$4$ |
$245760$ |
$2.013279$ |
$254960709821/147438792$ |
$1.05719$ |
$4.69674$ |
$[1, -1, 0, -148617, 633541]$ |
\(y^2+xy=x^3-x^2-148617x+633541\) |
2.3.0.a.1, 40.6.0.b.1, 424.6.0.?, 1060.6.0.?, 2120.12.0.? |
$[(-205, 4841)]$ |
| 23850.h2 |
23850bl1 |
23850.h |
23850bl |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{9} \cdot 53 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$1.435399218$ |
$1$ |
|
$7$ |
$122880$ |
$1.666704$ |
$86409510461/274752$ |
$0.91408$ |
$4.58939$ |
$[1, -1, 0, -103617, 12828541]$ |
\(y^2+xy=x^3-x^2-103617x+12828541\) |
2.3.0.a.1, 40.6.0.c.1, 424.6.0.?, 530.6.0.?, 2120.12.0.? |
$[(170, 239)]$ |
| 23850.i1 |
23850be2 |
23850.i |
23850be |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{12} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$1.747073189$ |
$1$ |
|
$2$ |
$241920$ |
$1.959566$ |
$-2777593363840009/53000000$ |
$0.96096$ |
$5.13999$ |
$[1, -1, 0, -658917, 206038741]$ |
\(y^2+xy=x^3-x^2-658917x+206038741\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 212.2.0.?, 636.8.0.?, 3180.16.0.? |
$[(474, -37)]$ |
| 23850.i2 |
23850be1 |
23850.i |
23850be |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 53^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$3180$ |
$16$ |
$0$ |
$0.582357729$ |
$1$ |
|
$4$ |
$80640$ |
$1.410261$ |
$-273359449/14887700$ |
$0.92816$ |
$3.99122$ |
$[1, -1, 0, -3042, 630616]$ |
\(y^2+xy=x^3-x^2-3042x+630616\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 212.2.0.?, 636.8.0.?, 3180.16.0.? |
$[(114, 1268)]$ |
| 23850.j1 |
23850bd2 |
23850.j |
23850bd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{8} \cdot 53^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$14.54338381$ |
$1$ |
|
$0$ |
$1290240$ |
$2.775425$ |
$504907690321458001369/2184278400$ |
$1.06648$ |
$6.34148$ |
$[1, -1, 0, -37326042, -87764695884]$ |
\(y^2+xy=x^3-x^2-37326042x-87764695884\) |
2.3.0.a.1, 24.6.0.a.1, 1060.6.0.?, 6360.12.0.? |
$[(145399369/81, 1672018009993/81)]$ |
| 23850.j2 |
23850bd1 |
23850.j |
23850bd |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{14} \cdot 3^{16} \cdot 5^{7} \cdot 53 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$7.271691907$ |
$1$ |
|
$1$ |
$645120$ |
$2.428852$ |
$123453174678896089/256376586240$ |
$0.97982$ |
$5.51642$ |
$[1, -1, 0, -2334042, -1369447884]$ |
\(y^2+xy=x^3-x^2-2334042x-1369447884\) |
2.3.0.a.1, 24.6.0.d.1, 530.6.0.?, 6360.12.0.? |
$[(-109500/11, 1955274/11)]$ |
| 23850.k1 |
23850bn2 |
23850.k |
23850bn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2 \cdot 3^{28} \cdot 5^{9} \cdot 53^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2703360$ |
$3.230335$ |
$2005433587219769981/176298792883362$ |
$1.01296$ |
$6.27201$ |
$[1, -1, 0, -29556117, -56948717709]$ |
\(y^2+xy=x^3-x^2-29556117x-56948717709\) |
2.3.0.a.1, 24.6.0.j.1, 40.6.0.b.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 23850.k2 |
23850bn1 |
23850.k |
23850bn |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{2} \cdot 3^{17} \cdot 5^{9} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1351680$ |
$2.883762$ |
$664401638514979/5591100150828$ |
$1.01365$ |
$5.73561$ |
$[1, -1, 0, 2045133, -4143028959]$ |
\(y^2+xy=x^3-x^2+2045133x-4143028959\) |
2.3.0.a.1, 24.6.0.j.1, 30.6.0.a.1, 40.6.0.c.1, 120.12.0.? |
$[]$ |
| 23850.l1 |
23850bk2 |
23850.l |
23850bk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{7} \cdot 3^{8} \cdot 5^{3} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$5.249623305$ |
$1$ |
|
$2$ |
$602112$ |
$2.230251$ |
$87403656204578069/25533344020608$ |
$1.00739$ |
$5.00314$ |
$[1, -1, 0, -416052, -72583344]$ |
\(y^2+xy=x^3-x^2-416052x-72583344\) |
2.3.0.a.1, 40.6.0.b.1, 424.6.0.?, 1060.6.0.?, 2120.12.0.? |
$[(-255, 4236)]$ |
| 23850.l2 |
23850bk1 |
23850.l |
23850bk |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$2.624811652$ |
$1$ |
|
$5$ |
$301056$ |
$1.883680$ |
$4683363968484629/197575262208$ |
$0.98592$ |
$4.71279$ |
$[1, -1, 0, -156852, 23061456]$ |
\(y^2+xy=x^3-x^2-156852x+23061456\) |
2.3.0.a.1, 40.6.0.c.1, 424.6.0.?, 530.6.0.?, 2120.12.0.? |
$[(129, 2163)]$ |
| 23850.m1 |
23850f1 |
23850.m |
23850f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{14} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$1.690159$ |
$11079127187757/10600000000$ |
$0.96117$ |
$4.26493$ |
$[1, -1, 0, 34833, 2013741]$ |
\(y^2+xy=x^3-x^2+34833x+2013741\) |
1272.2.0.? |
$[]$ |
| 23850.n1 |
23850e1 |
23850.n |
23850e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{10} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$56160$ |
$1.377052$ |
$-3316275/434176$ |
$1.03406$ |
$3.95162$ |
$[1, -1, 0, -1992, 516416]$ |
\(y^2+xy=x^3-x^2-1992x+516416\) |
1272.2.0.? |
$[]$ |
| 23850.o1 |
23850v1 |
23850.o |
23850v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{17} \cdot 3^{9} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$3.927915934$ |
$1$ |
|
$2$ |
$130560$ |
$1.630785$ |
$313185171671/187564032$ |
$1.08035$ |
$4.23813$ |
$[1, -1, 0, 31833, -416259]$ |
\(y^2+xy=x^3-x^2+31833x-416259\) |
1272.2.0.? |
$[(669, 17553)]$ |
| 23850.p1 |
23850d1 |
23850.p |
23850d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2 \cdot 3^{3} \cdot 5^{10} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.802259$ |
$-3818360547/66250$ |
$1.00889$ |
$3.47685$ |
$[1, -1, 0, -2442, -46534]$ |
\(y^2+xy=x^3-x^2-2442x-46534\) |
1272.2.0.? |
$[]$ |
| 23850.q1 |
23850w1 |
23850.q |
23850w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{3} \cdot 3^{15} \cdot 5^{2} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$2.650872250$ |
$1$ |
|
$2$ |
$20736$ |
$0.827861$ |
$1649696855/8345592$ |
$0.91572$ |
$3.28200$ |
$[1, -1, 0, 648, 17496]$ |
\(y^2+xy=x^3-x^2+648x+17496\) |
1272.2.0.? |
$[(3, 138)]$ |
| 23850.r1 |
23850x1 |
23850.r |
23850x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{13} \cdot 3^{15} \cdot 5^{8} \cdot 53^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$2.514528579$ |
$1$ |
|
$2$ |
$5391360$ |
$3.538872$ |
$1907247257179943046551/1685778818809651200$ |
$1.03213$ |
$6.47334$ |
$[1, -1, 0, 58131333, -123897391259]$ |
\(y^2+xy=x^3-x^2+58131333x-123897391259\) |
1272.2.0.? |
$[(253889, 127858118)]$ |
| 23850.s1 |
23850p4 |
23850.s |
23850p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{11} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$3.492947$ |
$3624077477509875809161129/4734288600000$ |
$1.03768$ |
$7.22235$ |
$[1, -1, 0, -720013167, 7436512005741]$ |
\(y^2+xy=x^3-x^2-720013167x+7436512005741\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$ |
$[]$ |
| 23850.s2 |
23850p2 |
23850.s |
23850p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{16} \cdot 53^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$3180$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2211840$ |
$3.146374$ |
$885512859588017161129/1011240000000000$ |
$1.01405$ |
$6.39722$ |
$[1, -1, 0, -45013167, 116137005741]$ |
\(y^2+xy=x^3-x^2-45013167x+116137005741\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 60.24.0-60.a.1.3, 212.12.0.?, $\ldots$ |
$[]$ |
| 23850.s3 |
23850p3 |
23850.s |
23850p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{26} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4423680$ |
$3.492947$ |
$-367149213333770500009/970458984375000000$ |
$1.02892$ |
$6.48021$ |
$[1, -1, 0, -33565167, 176616789741]$ |
\(y^2+xy=x^3-x^2-33565167x+176616789741\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 120.24.0.?, $\ldots$ |
$[]$ |
| 23850.s4 |
23850p1 |
23850.s |
23850p |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{11} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.799801$ |
$431137155391783849/225076838400000$ |
$1.01393$ |
$5.64049$ |
$[1, -1, 0, -3541167, 803373741]$ |
\(y^2+xy=x^3-x^2-3541167x+803373741\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 23850.t1 |
23850l4 |
23850.t |
23850l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{8} \cdot 53^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$2.119972$ |
$3826354627925929/4734288600$ |
$0.96270$ |
$5.17176$ |
$[1, -1, 0, -733167, -241189259]$ |
\(y^2+xy=x^3-x^2-733167x-241189259\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.s.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 23850.t2 |
23850l3 |
23850.t |
23850l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{14} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$294912$ |
$2.119972$ |
$1488142744688809/13415625000$ |
$0.95776$ |
$5.07807$ |
$[1, -1, 0, -535167, 149644741]$ |
\(y^2+xy=x^3-x^2-535167x+149644741\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0-4.c.1.5, 120.24.0.?, $\ldots$ |
$[]$ |
| 23850.t3 |
23850l2 |
23850.t |
23850l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{10} \cdot 53^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$147456$ |
$1.773399$ |
$1910778533929/1011240000$ |
$0.95191$ |
$4.41755$ |
$[1, -1, 0, -58167, -1564259]$ |
\(y^2+xy=x^3-x^2-58167x-1564259\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 120.24.0.?, 424.12.0.?, $\ldots$ |
$[]$ |
| 23850.t4 |
23850l1 |
23850.t |
23850l |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{8} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.426826$ |
$25698491351/16281600$ |
$0.91945$ |
$3.99006$ |
$[1, -1, 0, 13833, -196259]$ |
\(y^2+xy=x^3-x^2+13833x-196259\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 23850.u1 |
23850m1 |
23850.u |
23850m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2 \cdot 3^{12} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26880$ |
$0.975702$ |
$30080231/77274$ |
$0.90259$ |
$3.44290$ |
$[1, -1, 0, 1458, 39366]$ |
\(y^2+xy=x^3-x^2+1458x+39366\) |
424.2.0.? |
$[]$ |
| 23850.v1 |
23850bi1 |
23850.v |
23850bi |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{7} \cdot 3^{13} \cdot 5^{4} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$0.494073561$ |
$1$ |
|
$4$ |
$47040$ |
$1.208229$ |
$-183949590625/14836608$ |
$1.06736$ |
$3.87893$ |
$[1, -1, 0, -9117, 359941]$ |
\(y^2+xy=x^3-x^2-9117x+359941\) |
1272.2.0.? |
$[(-1, 608)]$ |
| 23850.w1 |
23850n1 |
23850.w |
23850n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.712299$ |
$-47045881/848$ |
$1.00810$ |
$3.36777$ |
$[1, -1, 0, -1692, -26784]$ |
\(y^2+xy=x^3-x^2-1692x-26784\) |
212.2.0.? |
$[]$ |
| 23850.x1 |
23850o1 |
23850.x |
23850o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{6} \cdot 3^{16} \cdot 5^{11} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$460800$ |
$2.326900$ |
$2434278488702761/625919400000$ |
$0.96795$ |
$5.12689$ |
$[1, -1, 0, -630567, 143825341]$ |
\(y^2+xy=x^3-x^2-630567x+143825341\) |
2.3.0.a.1, 24.6.0.c.1, 530.6.0.?, 6360.12.0.? |
$[]$ |
| 23850.x2 |
23850o2 |
23850.x |
23850o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{3} \cdot 3^{11} \cdot 5^{16} \cdot 53^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$921600$ |
$2.673473$ |
$36607265722975319/53327109375000$ |
$0.99237$ |
$5.43717$ |
$[1, -1, 0, 1556433, 920210341]$ |
\(y^2+xy=x^3-x^2+1556433x+920210341\) |
2.3.0.a.1, 24.6.0.b.1, 1060.6.0.?, 6360.12.0.? |
$[]$ |
| 23850.y1 |
23850q1 |
23850.y |
23850q |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2 \cdot 3^{9} \cdot 5^{10} \cdot 53 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.287968$ |
$-22816825/2862$ |
$0.83541$ |
$3.95110$ |
$[1, -1, 0, -11367, -511709]$ |
\(y^2+xy=x^3-x^2-11367x-511709\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 1272.8.0.?, 6360.16.0.? |
$[]$ |
| 23850.y2 |
23850q2 |
23850.y |
23850q |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{3} \cdot 3^{7} \cdot 5^{10} \cdot 53^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$6360$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.837273$ |
$6045109175/3573048$ |
$0.97405$ |
$4.48518$ |
$[1, -1, 0, 73008, 1091416]$ |
\(y^2+xy=x^3-x^2+73008x+1091416\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 1272.8.0.?, 6360.16.0.? |
$[]$ |
| 23850.z1 |
23850k1 |
23850.z |
23850k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5^{4} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$6.184267327$ |
$1$ |
|
$0$ |
$33696$ |
$1.121639$ |
$-3316275/434176$ |
$1.03406$ |
$3.64755$ |
$[1, -1, 0, -717, -111259]$ |
\(y^2+xy=x^3-x^2-717x-111259\) |
1272.2.0.? |
$[(1669/5, 41768/5)]$ |
| 23850.ba1 |
23850bc1 |
23850.ba |
23850bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{5} \cdot 3^{6} \cdot 5^{6} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$424$ |
$2$ |
$0$ |
$1.702417054$ |
$1$ |
|
$2$ |
$33600$ |
$0.907766$ |
$-2305199161/1696$ |
$0.90862$ |
$3.75097$ |
$[1, -1, 0, -6192, 189216]$ |
\(y^2+xy=x^3-x^2-6192x+189216\) |
424.2.0.? |
$[(45, -9)]$ |
| 23850.bb1 |
23850h2 |
23850.bb |
23850h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{16} \cdot 53 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$1.668226$ |
$133801350353523/2070312500$ |
$0.95469$ |
$4.51210$ |
$[1, -1, 0, -79917, -8558759]$ |
\(y^2+xy=x^3-x^2-79917x-8558759\) |
2.3.0.a.1, 60.6.0.c.1, 636.6.0.?, 1060.6.0.?, 3180.12.0.? |
$[]$ |
| 23850.bb2 |
23850h1 |
23850.bb |
23850h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{4} \cdot 3^{3} \cdot 5^{11} \cdot 53^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.321653$ |
$-19034163/140450000$ |
$1.03142$ |
$3.88585$ |
$[1, -1, 0, -417, -370259]$ |
\(y^2+xy=x^3-x^2-417x-370259\) |
2.3.0.a.1, 30.6.0.a.1, 636.6.0.?, 1060.6.0.?, 3180.12.0.? |
$[]$ |
| 23850.bc1 |
23850bb2 |
23850.bc |
23850bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 53^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$0.772162194$ |
$1$ |
|
$8$ |
$110592$ |
$1.521578$ |
$2796665386969/3792150$ |
$0.91701$ |
$4.45534$ |
$[1, -1, 0, -66042, 6541366]$ |
\(y^2+xy=x^3-x^2-66042x+6541366\) |
2.3.0.a.1, 24.6.0.a.1, 1060.6.0.?, 6360.12.0.? |
$[(59, 1658)]$ |
| 23850.bc2 |
23850bb1 |
23850.bc |
23850bb |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{7} \cdot 53 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1.544324388$ |
$1$ |
|
$7$ |
$55296$ |
$1.175005$ |
$1439069689/772740$ |
$0.89241$ |
$3.70409$ |
$[1, -1, 0, -5292, 41116]$ |
\(y^2+xy=x^3-x^2-5292x+41116\) |
2.3.0.a.1, 24.6.0.d.1, 530.6.0.?, 6360.12.0.? |
$[(5, 119)]$ |
| 23850.bd1 |
23850y1 |
23850.bd |
23850y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{16} \cdot 53 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$212$ |
$2$ |
$0$ |
$8.680990855$ |
$1$ |
|
$2$ |
$403200$ |
$2.287422$ |
$203702260843719/530000000000$ |
$1.00308$ |
$5.00495$ |
$[1, -1, 0, 275808, -104310784]$ |
\(y^2+xy=x^3-x^2+275808x-104310784\) |
212.2.0.? |
$[(166304, 67736448)]$ |
| 23850.be1 |
23850z1 |
23850.be |
23850z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 53 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$6360$ |
$48$ |
$0$ |
$0.514128185$ |
$1$ |
|
$11$ |
$18432$ |
$0.741867$ |
$8120601/4240$ |
$0.90268$ |
$3.19044$ |
$[1, -1, 0, -942, 3716]$ |
\(y^2+xy=x^3-x^2-942x+3716\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 530.6.0.?, 1060.24.0.?, $\ldots$ |
$[(64, 418)]$ |
| 23850.be2 |
23850z2 |
23850.be |
23850z |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 53 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 53^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$6360$ |
$48$ |
$0$ |
$1.028256371$ |
$1$ |
|
$8$ |
$36864$ |
$1.088440$ |
$437245479/280900$ |
$0.90521$ |
$3.58591$ |
$[1, -1, 0, 3558, 26216]$ |
\(y^2+xy=x^3-x^2+3558x+26216\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 636.12.0.?, 1060.12.0.?, $\ldots$ |
$[(59, 633)]$ |
