| 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 |
| 23104.a1 |
23104i1 |
23104.a |
23104i |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{21} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$456$ |
$12$ |
$1$ |
$2.306391114$ |
$1$ |
|
$2$ |
$437760$ |
$2.100533$ |
$-27/8$ |
$1.31757$ |
$4.82821$ |
$[0, 0, 0, -27436, 39617584]$ |
\(y^2=x^3-27436x+39617584\) |
3.3.0.a.1, 24.6.0.m.1, 57.6.0.a.1, 152.2.0.?, 456.12.1.? |
$[(1444, 54872)]$ |
| 23104.b1 |
23104h1 |
23104.b |
23104h |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{15} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.601499014$ |
$1$ |
|
$4$ |
$153216$ |
$1.547802$ |
$-4104$ |
$0.69588$ |
$4.24212$ |
$[0, 0, 0, -27436, 2085136]$ |
\(y^2=x^3-27436x+2085136\) |
8.2.0.a.1 |
$[(0, 1444)]$ |
| 23104.c1 |
23104w1 |
23104.c |
23104w |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{15} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.548385238$ |
$1$ |
|
$18$ |
$8064$ |
$0.075583$ |
$-4104$ |
$0.69588$ |
$2.48386$ |
$[0, 0, 0, -76, 304]$ |
\(y^2=x^3-76x+304\) |
8.2.0.a.1 |
$[(6, 8), (-10, 8)]$ |
| 23104.d1 |
23104bn1 |
23104.d |
23104bn |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{21} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$456$ |
$12$ |
$1$ |
$0.590992785$ |
$1$ |
|
$14$ |
$23040$ |
$0.628313$ |
$-27/8$ |
$1.31757$ |
$3.06995$ |
$[0, 0, 0, -76, 5776]$ |
\(y^2=x^3-76x+5776\) |
3.3.0.a.1, 24.6.0.m.1, 57.6.0.a.1, 152.2.0.?, 456.12.1.? |
$[(114, 1216), (-14, 64)]$ |
| 23104.e1 |
23104cc1 |
23104.e |
23104cc |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{15} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.985246167$ |
$1$ |
|
$4$ |
$69120$ |
$1.272514$ |
$27000/19$ |
$0.79171$ |
$3.80855$ |
$[0, 0, 0, 7220, 109744]$ |
\(y^2=x^3+7220x+109744\) |
152.2.0.? |
$[(190, 2888)]$ |
| 23104.f1 |
23104bm1 |
23104.f |
23104bm |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{15} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.3.0.1 |
3Nn |
$456$ |
$12$ |
$1$ |
$0.419205023$ |
$1$ |
|
$14$ |
$57600$ |
$0.897386$ |
$-1042590744$ |
$1.29588$ |
$3.98054$ |
$[0, 0, 0, -12844, 560272]$ |
\(y^2=x^3-12844x+560272\) |
3.3.0.a.1, 12.6.0.d.1, 152.2.0.?, 456.12.1.? |
$[(66, 8), (76, 152)]$ |
| 23104.g1 |
23104bl1 |
23104.g |
23104bl |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{15} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.3.0.1 |
3Nn |
$456$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1094400$ |
$2.369606$ |
$-1042590744$ |
$1.29588$ |
$5.73880$ |
$[0, 0, 0, -4636684, 3842905648]$ |
\(y^2=x^3-4636684x+3842905648\) |
3.3.0.a.1, 12.6.0.d.1, 152.2.0.?, 456.12.1.? |
$[]$ |
| 23104.h1 |
23104bh1 |
23104.h |
23104bh |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.3.0.1 |
3Nn |
$228$ |
$12$ |
$1$ |
$1.031266971$ |
$1$ |
|
$6$ |
$3200$ |
$-0.232782$ |
$512$ |
$0.69588$ |
$2.00000$ |
$[0, 1, 0, 13, 31]$ |
\(y^2=x^3+x^2+13x+31\) |
3.3.0.a.1, 12.6.0.h.1, 38.2.0.a.1, 114.6.1.?, 228.12.1.? |
$[(6, 19), (-2, 1)]$ |
| 23104.i1 |
23104u3 |
23104.i |
23104u |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$1.622303643$ |
$1$ |
|
$6$ |
$155520$ |
$1.852232$ |
$-50357871050752/19$ |
$1.10495$ |
$5.31220$ |
$[0, 1, 0, -1110917, 450312229]$ |
\(y^2=x^3+x^2-1110917x+450312229\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.5, 27.36.0.a.1, 38.2.0.a.1, $\ldots$ |
$[(2437/2, 361/2), (604, 179)]$ |
| 23104.i2 |
23104u2 |
23104.i |
23104u |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$1.622303643$ |
$1$ |
|
$4$ |
$51840$ |
$1.302927$ |
$-89915392/6859$ |
$1.03310$ |
$4.00723$ |
$[0, 1, 0, -13477, 636189]$ |
\(y^2=x^3+x^2-13477x+636189\) |
3.12.0.a.1, 9.36.0.b.1, 24.24.0-3.a.1.3, 38.2.0.a.1, 72.72.0.?, $\ldots$ |
$[(700/3, 6859/3), (-451/2, 6859/2)]$ |
| 23104.i3 |
23104u1 |
23104.i |
23104u |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$1.622303643$ |
$1$ |
|
$6$ |
$17280$ |
$0.753620$ |
$32768/19$ |
$1.31757$ |
$3.20696$ |
$[0, 1, 0, 963, 829]$ |
\(y^2=x^3+x^2+963x+829\) |
3.4.0.a.1, 9.12.0.a.1, 24.8.0-3.a.1.6, 27.36.0.a.1, 38.2.0.a.1, $\ldots$ |
$[(44, 361), (4, 69)]$ |
| 23104.j1 |
23104bg1 |
23104.j |
23104bg |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$3$ |
3.3.0.1 |
3Nn |
$228$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$60800$ |
$1.239437$ |
$512$ |
$0.69588$ |
$3.75827$ |
$[0, 1, 0, 4573, 184939]$ |
\(y^2=x^3+x^2+4573x+184939\) |
3.3.0.a.1, 12.6.0.h.1, 38.2.0.a.1, 114.6.1.?, 228.12.1.? |
$[]$ |
| 23104.k1 |
23104t1 |
23104.k |
23104t |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{14} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46080$ |
$1.207314$ |
$-1024/19$ |
$0.79665$ |
$3.76209$ |
$[0, 1, 0, -1925, -187613]$ |
\(y^2=x^3+x^2-1925x-187613\) |
38.2.0.a.1 |
$[]$ |
| 23104.l1 |
23104ca1 |
23104.l |
23104ca |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{14} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$5.945658099$ |
$1$ |
|
$0$ |
$69120$ |
$1.377863$ |
$-4194304/19$ |
$1.07903$ |
$4.24251$ |
$[0, 1, 0, -30805, -2099469]$ |
\(y^2=x^3+x^2-30805x-2099469\) |
38.2.0.a.1 |
$[(13529/4, 1537499/4)]$ |
| 23104.m1 |
23104bw1 |
23104.m |
23104bw |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
2.2.0.1, 5.5.0.1 |
2Cn, 5S4 |
$760$ |
$60$ |
$2$ |
$0.740721234$ |
$1$ |
|
$2$ |
$8064$ |
$0.383341$ |
$1462911232$ |
$0.97310$ |
$3.37628$ |
$[0, -1, 0, -1697, 27481]$ |
\(y^2=x^3-x^2-1697x+27481\) |
2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 152.12.0.?, $\ldots$ |
$[(24, 1)]$ |
| 23104.n1 |
23104d1 |
23104.n |
23104d |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.4.0.1, 5.5.0.1 |
2Cn, 5S4 |
$760$ |
$60$ |
$2$ |
$5.749905657$ |
$1$ |
|
$2$ |
$153216$ |
$1.855560$ |
$1462911232$ |
$0.97310$ |
$5.13454$ |
$[0, -1, 0, -612737, 184816009]$ |
\(y^2=x^3-x^2-612737x+184816009\) |
2.2.0.a.1, 5.5.0.a.1, 8.4.0-2.a.1.1, 10.10.0.a.1, 38.6.0.a.1, $\ldots$ |
$[(264, 6433)]$ |
| 23104.o1 |
23104c2 |
23104.o |
23104c |
$2$ |
$3$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{27} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 9.12.0.2 |
3B |
$1368$ |
$144$ |
$2$ |
$17.73719083$ |
$1$ |
|
$0$ |
$393984$ |
$2.408344$ |
$-246579625/512$ |
$0.97319$ |
$5.50958$ |
$[0, -1, 0, -2149153, -1214145631]$ |
\(y^2=x^3-x^2-2149153x-1214145631\) |
3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.4, 24.16.0-24.a.1.4, $\ldots$ |
$[(49062536/41, 343208758339/41)]$ |
| 23104.o2 |
23104c1 |
23104.o |
23104c |
$2$ |
$3$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{21} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 9.12.0.2 |
3B |
$1368$ |
$144$ |
$2$ |
$5.912396943$ |
$1$ |
|
$2$ |
$131328$ |
$1.859039$ |
$2375/8$ |
$0.86529$ |
$4.51621$ |
$[0, -1, 0, 45727, -8278559]$ |
\(y^2=x^3-x^2+45727x-8278559\) |
3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 12.8.0-3.a.1.3, 24.16.0-24.a.1.2, $\ldots$ |
$[(200, 2971)]$ |
| 23104.p1 |
23104bu1 |
23104.p |
23104bu |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{17} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.850327041$ |
$1$ |
|
$2$ |
$46080$ |
$1.401615$ |
$-31250/19$ |
$0.89957$ |
$4.03255$ |
$[0, -1, 0, -12033, -723551]$ |
\(y^2=x^3-x^2-12033x-723551\) |
152.2.0.? |
$[(184, 1805)]$ |
| 23104.q1 |
23104bt3 |
23104.q |
23104bt |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{45} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$9.747721593$ |
$1$ |
|
$0$ |
$1244160$ |
$2.997108$ |
$-69173457625/2550136832$ |
$1.05462$ |
$5.89912$ |
$[0, -1, 0, -1975873, -8598438175]$ |
\(y^2=x^3-x^2-1975873x-8598438175\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.4, 27.36.0.a.1, 36.24.0-9.a.1.3, $\ldots$ |
$[(505168/11, 314704277/11)]$ |
| 23104.q2 |
23104bt1 |
23104.q |
23104bt |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{21} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$4104$ |
$1296$ |
$43$ |
$1.083080177$ |
$1$ |
|
$2$ |
$138240$ |
$1.898499$ |
$-413493625/152$ |
$0.93281$ |
$4.97465$ |
$[0, -1, 0, -358593, 82797409]$ |
\(y^2=x^3-x^2-358593x+82797409\) |
3.4.0.a.1, 9.12.0.a.1, 12.8.0-3.a.1.3, 27.36.0.a.1, 36.24.0-9.a.1.4, $\ldots$ |
$[(336, 361)]$ |
| 23104.q3 |
23104bt2 |
23104.q |
23104bt |
$3$ |
$9$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{27} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$4104$ |
$1296$ |
$43$ |
$3.249240531$ |
$1$ |
|
$2$ |
$414720$ |
$2.447803$ |
$94196375/3511808$ |
$1.01875$ |
$5.24037$ |
$[0, -1, 0, 219007, 314091553]$ |
\(y^2=x^3-x^2+219007x+314091553\) |
3.12.0.a.1, 9.36.0.b.1, 12.24.0-3.a.1.2, 36.72.0-9.b.1.2, 152.2.0.?, $\ldots$ |
$[(3984, 253783)]$ |
| 23104.r1 |
23104bv2 |
23104.r |
23104bv |
$2$ |
$3$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{27} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 9.12.0.2 |
3B |
$1368$ |
$144$ |
$2$ |
$9.409276033$ |
$1$ |
|
$0$ |
$20736$ |
$0.936126$ |
$-246579625/512$ |
$0.97319$ |
$3.75131$ |
$[0, -1, 0, -5953, -175135]$ |
\(y^2=x^3-x^2-5953x-175135\) |
3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$ |
$[(16927/13, 1038376/13)]$ |
| 23104.r2 |
23104bv1 |
23104.r |
23104bv |
$2$ |
$3$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{21} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 9.12.0.2 |
3B |
$1368$ |
$144$ |
$2$ |
$3.136425344$ |
$1$ |
|
$2$ |
$6912$ |
$0.386819$ |
$2375/8$ |
$0.86529$ |
$2.75795$ |
$[0, -1, 0, 127, -1247]$ |
\(y^2=x^3-x^2+127x-1247\) |
3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$ |
$[(39, 248)]$ |
| 23104.s1 |
23104bd1 |
23104.s |
23104bd |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.4.0.1, 5.5.0.1 |
2Cn, 5S4 |
$760$ |
$60$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$32832$ |
$1.255939$ |
$4864$ |
$0.64811$ |
$3.87913$ |
$[0, -1, 0, -9145, -267247]$ |
\(y^2=x^3-x^2-9145x-267247\) |
2.2.0.a.1, 5.5.0.a.1, 8.4.0-2.a.1.1, 10.10.0.a.1, 38.6.0.a.1, $\ldots$ |
$[]$ |
| 23104.t1 |
23104q1 |
23104.t |
23104q |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
2.2.0.1, 5.5.0.1 |
2Cn, 5S4 |
$760$ |
$60$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$-0.216280$ |
$4864$ |
$0.64811$ |
$2.12087$ |
$[0, -1, 0, -25, -31]$ |
\(y^2=x^3-x^2-25x-31\) |
2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 152.12.0.?, $\ldots$ |
$[]$ |
| 23104.u1 |
23104e1 |
23104.u |
23104e |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{17} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.873473484$ |
$1$ |
|
$2$ |
$16128$ |
$0.655856$ |
$-722$ |
$0.85758$ |
$3.12160$ |
$[0, -1, 0, -481, -7327]$ |
\(y^2=x^3-x^2-481x-7327\) |
8.2.0.a.1 |
$[(32, 95)]$ |
| 23104.v1 |
23104bx1 |
23104.v |
23104bx |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{17} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$27.27586920$ |
$1$ |
|
$0$ |
$306432$ |
$2.128075$ |
$-722$ |
$0.85758$ |
$4.87987$ |
$[0, -1, 0, -173761, -51298207]$ |
\(y^2=x^3-x^2-173761x-51298207\) |
8.2.0.a.1 |
$[(1174842805447/28769, 1204789326433101560/28769)]$ |
| 23104.w1 |
23104r2 |
23104.w |
23104r |
$2$ |
$5$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{19} \cdot 19^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$2.529724$ |
$-37966934881/4952198$ |
$0.97714$ |
$5.44465$ |
$[0, -1, 0, -1617761, 877251553]$ |
\(y^2=x^3-x^2-1617761x+877251553\) |
5.12.0.a.2, 10.24.0-5.a.2.2, 152.2.0.?, 760.48.1.? |
$[]$ |
| 23104.w2 |
23104r1 |
23104.w |
23104r |
$2$ |
$5$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{23} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$760$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.725006$ |
$-1/608$ |
$1.37833$ |
$4.37990$ |
$[0, -1, 0, -481, -4166047]$ |
\(y^2=x^3-x^2-481x-4166047\) |
5.12.0.a.1, 10.24.0-5.a.1.1, 152.2.0.?, 760.48.1.? |
$[]$ |
| 23104.x1 |
23104bq1 |
23104.x |
23104bq |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$380$ |
$60$ |
$3$ |
$1.711155428$ |
$1$ |
|
$0$ |
$172800$ |
$1.724737$ |
$-4741632/2476099$ |
$1.30327$ |
$4.37944$ |
$[0, 0, 0, -5054, 4156554]$ |
\(y^2=x^3-5054x+4156554\) |
5.15.0.a.1, 20.30.0.a.1, 38.2.0.a.1, 190.30.2.?, 380.60.3.? |
$[(1121/4, 130321/4)]$ |
| 23104.y1 |
23104bp1 |
23104.y |
23104bp |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$380$ |
$60$ |
$3$ |
$10.23330254$ |
$1$ |
|
$2$ |
$172800$ |
$1.724737$ |
$-4741632/2476099$ |
$1.30327$ |
$4.37944$ |
$[0, 0, 0, -5054, -4156554]$ |
\(y^2=x^3-5054x-4156554\) |
5.15.0.a.1, 20.30.0.a.1, 38.2.0.a.1, 190.30.2.?, 380.60.3.? |
$[(27713, 4613429)]$ |
| 23104.z1 |
23104x2 |
23104.z |
23104x |
$2$ |
$19$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-19})$ |
$-19$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.325900492$ |
$1$ |
|
$4$ |
$54720$ |
$1.468645$ |
$-884736$ |
$1.31757$ |
$4.41430$ |
$[0, 0, 0, -54872, 4952198]$ |
\(y^2=x^3-54872x+4952198\) |
|
$[(361/2, 6859/2), (3971/5, 61731/5)]$ |
| 23104.z2 |
23104x1 |
23104.z |
23104x |
$2$ |
$19$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-19})$ |
$-19$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$5.325900492$ |
$1$ |
|
$6$ |
$2880$ |
$-0.003575$ |
$-884736$ |
$1.31757$ |
$2.65603$ |
$[0, 0, 0, -152, -722]$ |
\(y^2=x^3-152x-722\) |
|
$[(19, 57), (57/2, 19/2)]$ |
| 23104.ba1 |
23104k1 |
23104.ba |
23104k |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$4.327251135$ |
$1$ |
|
$2$ |
$11520$ |
$0.756652$ |
$-13824/19$ |
$0.69588$ |
$3.24212$ |
$[0, 0, 0, -722, -13718]$ |
\(y^2=x^3-722x-13718\) |
38.2.0.a.1 |
$[(57, 361), (969/2, 29963/2)]$ |
| 23104.bb1 |
23104j1 |
23104.bb |
23104j |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.756652$ |
$-13824/19$ |
$0.69588$ |
$3.24212$ |
$[0, 0, 0, -722, 13718]$ |
\(y^2=x^3-722x+13718\) |
38.2.0.a.1 |
$[]$ |
| 23104.bc1 |
23104a2 |
23104.bc |
23104a |
$2$ |
$19$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-19})$ |
$-19$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$19.94010943$ |
$1$ |
|
$0$ |
$54720$ |
$1.468645$ |
$-884736$ |
$1.31757$ |
$4.41430$ |
$[0, 0, 0, -54872, -4952198]$ |
\(y^2=x^3-54872x-4952198\) |
|
$[(413167167/569, 8245366935161/569)]$ |
| 23104.bc2 |
23104a1 |
23104.bc |
23104a |
$2$ |
$19$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q(\sqrt{-19})$ |
$-19$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1.049479443$ |
$1$ |
|
$2$ |
$2880$ |
$-0.003575$ |
$-884736$ |
$1.31757$ |
$2.65603$ |
$[0, 0, 0, -152, 722]$ |
\(y^2=x^3-152x+722\) |
|
$[(7, 1)]$ |
| 23104.bd1 |
23104z1 |
23104.bd |
23104z |
$2$ |
$2$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$1440$ |
$-0.227849$ |
$1728$ |
|
$2.03497$ |
$[0, 0, 0, -19, 0]$ |
\(y^2=x^3-19x\) |
|
$[]$ |
| 23104.bd2 |
23104z2 |
23104.bd |
23104z |
$2$ |
$2$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{12} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$1$ |
|
$1$ |
$2880$ |
$0.118724$ |
$1728$ |
|
$2.44888$ |
$[0, 0, 0, 76, 0]$ |
\(y^2=x^3+76x\) |
|
$[]$ |
| 23104.be1 |
23104y1 |
23104.be |
23104y |
$2$ |
$2$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{6} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$1$ |
$27360$ |
$1.244370$ |
$1728$ |
|
$3.79324$ |
$[0, 0, 0, -6859, 0]$ |
\(y^2=x^3-6859x\) |
|
$[]$ |
| 23104.be2 |
23104y2 |
23104.be |
23104y |
$2$ |
$2$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{12} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$1$ |
$9$ |
$3$ |
$1$ |
$54720$ |
$1.590944$ |
$1728$ |
|
$4.20715$ |
$[0, 0, 0, 27436, 0]$ |
\(y^2=x^3+27436x\) |
|
$[]$ |
| 23104.bf1 |
23104bo3 |
23104.bf |
23104bo |
$4$ |
$4$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{15} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$14.45723861$ |
$1$ |
|
$1$ |
$28800$ |
$1.201406$ |
$287496$ |
$1.17246$ |
$4.04397$ |
$[0, 0, 0, -15884, -768208]$ |
\(y^2=x^3-15884x-768208\) |
|
$[(-3569771/225, 398664433/225)]$ |
| 23104.bf2 |
23104bo4 |
23104.bf |
23104bo |
$4$ |
$4$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{15} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-16$ |
$N(\mathrm{U}(1))$ |
|
✓ |
|
|
|
|
|
|
$3.614309653$ |
$1$ |
|
$3$ |
$28800$ |
$1.201406$ |
$287496$ |
$1.17246$ |
$4.04397$ |
$[0, 0, 0, -15884, 768208]$ |
\(y^2=x^3-15884x+768208\) |
|
$[(-86, 1224)]$ |
| 23104.bf3 |
23104bo2 |
23104.bf |
23104bo |
$4$ |
$4$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{12} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.143 |
2Cs |
|
|
|
$7.228619307$ |
$1$ |
|
$3$ |
$14400$ |
$0.854834$ |
$1728$ |
|
$3.32802$ |
$[0, 0, 0, -1444, 0]$ |
\(y^2=x^3-1444x\) |
|
$[(-1922/9, 105400/9)]$ |
| 23104.bf4 |
23104bo1 |
23104.bf |
23104bo |
$4$ |
$4$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q(\sqrt{-1})$ |
$-4$ |
$N(\mathrm{U}(1))$ |
|
✓ |
$2$ |
16.192.9.178 |
2B |
|
|
|
$14.45723861$ |
$1$ |
|
$1$ |
$7200$ |
$0.508260$ |
$1728$ |
|
$2.91411$ |
$[0, 0, 0, 361, 0]$ |
\(y^2=x^3+361x\) |
|
$[(722500/279, 1399117850/279)]$ |
| 23104.bg1 |
23104bb1 |
23104.bg |
23104bb |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
8.4.0.1, 5.5.0.1 |
2Cn, 5S4 |
$760$ |
$60$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$153216$ |
$1.855560$ |
$1462911232$ |
$0.97310$ |
$5.13454$ |
$[0, 1, 0, -612737, -184816009]$ |
\(y^2=x^3+x^2-612737x-184816009\) |
2.2.0.a.1, 5.5.0.a.1, 8.4.0-2.a.1.1, 10.10.0.a.1, 38.6.0.a.1, $\ldots$ |
$[]$ |
| 23104.bh1 |
23104o1 |
23104.bh |
23104o |
$1$ |
$1$ |
\( 2^{6} \cdot 19^{2} \) |
\( 2^{10} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
2.2.0.1, 5.5.0.1 |
2Cn, 5S4 |
$760$ |
$60$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$8064$ |
$0.383341$ |
$1462911232$ |
$0.97310$ |
$3.37628$ |
$[0, 1, 0, -1697, -27481]$ |
\(y^2=x^3+x^2-1697x-27481\) |
2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 152.12.0.?, $\ldots$ |
$[]$ |
| 23104.bi1 |
23104n2 |
23104.bi |
23104n |
$2$ |
$3$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{27} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 9.12.0.2 |
3B |
$1368$ |
$144$ |
$2$ |
$1.767749747$ |
$1$ |
|
$10$ |
$20736$ |
$0.936126$ |
$-246579625/512$ |
$0.97319$ |
$3.75131$ |
$[0, 1, 0, -5953, 175135]$ |
\(y^2=x^3+x^2-5953x+175135\) |
3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$ |
$[(-69, 512), (403/3, 512/3)]$ |
| 23104.bi2 |
23104n1 |
23104.bi |
23104n |
$2$ |
$3$ |
\( 2^{6} \cdot 19^{2} \) |
\( - 2^{21} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 9.12.0.2 |
3B |
$1368$ |
$144$ |
$2$ |
$1.767749747$ |
$1$ |
|
$6$ |
$6912$ |
$0.386819$ |
$2375/8$ |
$0.86529$ |
$2.75795$ |
$[0, 1, 0, 127, 1247]$ |
\(y^2=x^3+x^2+127x+1247\) |
3.4.0.a.1, 8.2.0.a.1, 9.12.0.b.1, 24.8.0.a.1, 72.24.0.?, $\ldots$ |
$[(11, 64), (-109/5, 3136/5)]$ |
