| 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 |
| 28899.a1 |
28899g1 |
28899.a |
28899g |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{17} \cdot 13^{8} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1757184$ |
$2.492977$ |
$-544104730624/63950067$ |
$0.95221$ |
$5.28825$ |
$[0, 0, 1, -1430247, -722129184]$ |
\(y^2+y=x^3-1430247x-722129184\) |
6.2.0.a.1 |
$[]$ |
| 28899.b1 |
28899s1 |
28899.b |
28899s |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{8} \cdot 13^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.325420376$ |
$1$ |
|
$2$ |
$73728$ |
$0.995233$ |
$-1404928/171$ |
$0.86512$ |
$3.53673$ |
$[0, 0, 1, -3549, -89528]$ |
\(y^2+y=x^3-3549x-89528\) |
38.2.0.a.1 |
$[(364, 6844)]$ |
| 28899.c1 |
28899f1 |
28899.c |
28899f |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{11} \cdot 13^{2} \cdot 19^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.641074972$ |
$1$ |
|
$16$ |
$26880$ |
$0.611377$ |
$70873088/87723$ |
$0.87771$ |
$2.91367$ |
$[0, 0, 1, 429, -3650]$ |
\(y^2+y=x^3+429x-3650\) |
6.2.0.a.1 |
$[(10, 40), (16, 85)]$ |
| 28899.d1 |
28899q1 |
28899.d |
28899q |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{10} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.551158685$ |
$1$ |
|
$2$ |
$798720$ |
$2.431896$ |
$-115168768000/1083$ |
$0.97027$ |
$5.61851$ |
$[0, 0, 1, -4712565, 3937655088]$ |
\(y^2+y=x^3-4712565x+3937655088\) |
6.2.0.a.1 |
$[(1247, 427)]$ |
| 28899.e1 |
28899r2 |
28899.e |
28899r |
$2$ |
$5$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{8} \cdot 13^{6} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$7410$ |
$48$ |
$1$ |
$0.336529998$ |
$1$ |
|
$6$ |
$921600$ |
$2.483189$ |
$-9358714467168256/22284891$ |
$1.06833$ |
$5.72030$ |
$[0, 0, 1, -6677697, 6641850114]$ |
\(y^2+y=x^3-6677697x+6641850114\) |
5.12.0.a.2, 38.2.0.a.1, 190.24.1.?, 195.24.0.?, 7410.48.1.? |
$[(1703, 14449)]$ |
| 28899.e2 |
28899r1 |
28899.e |
28899r |
$2$ |
$5$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{16} \cdot 13^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$7410$ |
$48$ |
$1$ |
$1.682649990$ |
$1$ |
|
$4$ |
$184320$ |
$1.678469$ |
$841232384/1121931$ |
$1.00490$ |
$4.16661$ |
$[0, 0, 1, 29913, 2274444]$ |
\(y^2+y=x^3+29913x+2274444\) |
5.12.0.a.1, 38.2.0.a.1, 190.24.1.?, 195.24.0.?, 7410.48.1.? |
$[(-52, 760)]$ |
| 28899.f1 |
28899j1 |
28899.f |
28899j |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{2} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.216969248$ |
$1$ |
|
$8$ |
$24576$ |
$0.774166$ |
$-2092859392/390963$ |
$0.92904$ |
$3.25784$ |
$[0, 0, 1, -1326, 21375]$ |
\(y^2+y=x^3-1326x+21375\) |
6.2.0.a.1 |
$[(29, 85)]$ |
| 28899.g1 |
28899h1 |
28899.g |
28899h |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{11} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.811420888$ |
$1$ |
|
$4$ |
$11520$ |
$0.616199$ |
$-53248000/87723$ |
$0.91334$ |
$3.00434$ |
$[0, 0, 1, -390, 5814]$ |
\(y^2+y=x^3-390x+5814\) |
6.2.0.a.1 |
$[(-4, 85)]$ |
| 28899.h1 |
28899a1 |
28899.h |
28899a |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{11} \cdot 13^{8} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$1.898674$ |
$-53248000/87723$ |
$0.91334$ |
$4.50262$ |
$[0, 0, 1, -65910, 12773907]$ |
\(y^2+y=x^3-65910x+12773907\) |
6.2.0.a.1 |
$[]$ |
| 28899.i1 |
28899i1 |
28899.i |
28899i |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{10} \cdot 13^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$6.370045479$ |
$1$ |
|
$0$ |
$86016$ |
$1.552195$ |
$-16777216/260091$ |
$1.03944$ |
$4.08327$ |
$[0, 0, 1, -8112, -1482426]$ |
\(y^2+y=x^3-8112x-1482426\) |
38.2.0.a.1 |
$[(18902/7, 2491987/7)]$ |
| 28899.j1 |
28899b1 |
28899.j |
28899b |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{8} \cdot 19^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$319488$ |
$2.056641$ |
$-2092859392/390963$ |
$0.92904$ |
$4.75612$ |
$[0, 0, 1, -224094, 46961424]$ |
\(y^2+y=x^3-224094x+46961424\) |
6.2.0.a.1 |
$[]$ |
| 28899.k1 |
28899c3 |
28899.k |
28899c |
$3$ |
$9$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{6} \cdot 13^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$13338$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$155520$ |
$1.865219$ |
$-50357871050752/19$ |
$1.10495$ |
$5.21163$ |
$[0, 0, 1, -1170156, 487207269]$ |
\(y^2+y=x^3-1170156x+487207269\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 28899.k2 |
28899c2 |
28899.k |
28899c |
$3$ |
$9$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{6} \cdot 13^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.2 |
3Cs |
$13338$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$51840$ |
$1.315914$ |
$-89915392/6859$ |
$1.03310$ |
$3.93510$ |
$[0, 0, 1, -14196, 692604]$ |
\(y^2+y=x^3-14196x+692604\) |
3.12.0.a.1, 9.36.0.b.1, 38.2.0.a.1, 39.24.0-3.a.1.1, 114.24.1.?, $\ldots$ |
$[]$ |
| 28899.k3 |
28899c1 |
28899.k |
28899c |
$3$ |
$9$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{6} \cdot 13^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
27.36.0.1 |
3B |
$13338$ |
$1296$ |
$43$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.766607$ |
$32768/19$ |
$1.31757$ |
$3.15225$ |
$[0, 0, 1, 1014, 549]$ |
\(y^2+y=x^3+1014x+549\) |
3.4.0.a.1, 9.12.0.a.1, 27.36.0.a.1, 38.2.0.a.1, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 28899.l1 |
28899m1 |
28899.l |
28899m |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{13} \cdot 13^{9} \cdot 19^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2964$ |
$2$ |
$0$ |
$1.562054904$ |
$1$ |
|
$2$ |
$2257920$ |
$3.029819$ |
$19116191615070887/11897257043061$ |
$1.00837$ |
$5.78984$ |
$[1, -1, 0, 8472699, 2605254718]$ |
\(y^2+xy=x^3-x^2+8472699x+2605254718\) |
2964.2.0.? |
$[(578, 87434)]$ |
| 28899.m1 |
28899k4 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( 3^{10} \cdot 13^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$10.68561880$ |
$1$ |
|
$0$ |
$92160$ |
$1.586773$ |
$115714886617/1539$ |
$0.98111$ |
$4.62011$ |
$[1, -1, 0, -154413, -23315850]$ |
\(y^2+xy=x^3-x^2-154413x-23315850\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 76.12.0.?, 104.12.0.?, $\ldots$ |
$[(523975/14, 371209665/14)]$ |
| 28899.m2 |
28899k2 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( 3^{8} \cdot 13^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2964$ |
$48$ |
$0$ |
$5.342809403$ |
$1$ |
|
$4$ |
$46080$ |
$1.240198$ |
$30664297/3249$ |
$0.90727$ |
$3.81831$ |
$[1, -1, 0, -9918, -341145]$ |
\(y^2+xy=x^3-x^2-9918x-341145\) |
2.6.0.a.1, 12.12.0.b.1, 52.12.0-2.a.1.1, 76.12.0.?, 156.24.0.?, $\ldots$ |
$[(2662, 135897)]$ |
| 28899.m3 |
28899k1 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( 3^{7} \cdot 13^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$2.671404701$ |
$1$ |
|
$3$ |
$23040$ |
$0.893625$ |
$389017/57$ |
$0.96267$ |
$3.39313$ |
$[1, -1, 0, -2313, 37584]$ |
\(y^2+xy=x^3-x^2-2313x+37584\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 52.12.0-4.c.1.2, 114.6.0.?, $\ldots$ |
$[(-12, 258)]$ |
| 28899.m4 |
28899k3 |
28899.m |
28899k |
$4$ |
$4$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{6} \cdot 19^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5928$ |
$48$ |
$0$ |
$2.671404701$ |
$1$ |
|
$4$ |
$92160$ |
$1.586773$ |
$67419143/390963$ |
$0.97474$ |
$4.10914$ |
$[1, -1, 0, 12897, -1696356]$ |
\(y^2+xy=x^3-x^2+12897x-1696356\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(88, 294)]$ |
| 28899.n1 |
28899d1 |
28899.n |
28899d |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{7} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2964$ |
$2$ |
$0$ |
$0.799337704$ |
$1$ |
|
$8$ |
$43008$ |
$1.090441$ |
$-1771561/741$ |
$0.86988$ |
$3.59368$ |
$[1, -1, 0, -3834, 120901]$ |
\(y^2+xy=x^3-x^2-3834x+120901\) |
2964.2.0.? |
$[(36, 151), (140, 1451)]$ |
| 28899.o1 |
28899l1 |
28899.o |
28899l |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{17} \cdot 13^{11} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2964$ |
$2$ |
$0$ |
$6.126629461$ |
$1$ |
|
$0$ |
$2365440$ |
$2.899883$ |
$-15789259762088617/1249695380349$ |
$0.97345$ |
$5.78370$ |
$[1, -1, 0, -7949538, 9200063133]$ |
\(y^2+xy=x^3-x^2-7949538x+9200063133\) |
2964.2.0.? |
$[(140884/5, 46973367/5)]$ |
| 28899.p1 |
28899e1 |
28899.p |
28899e |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{7} \cdot 13^{4} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.149420$ |
$-115168768000/1083$ |
$0.97027$ |
$4.12023$ |
$[0, 0, 1, -27885, 1792287]$ |
\(y^2+y=x^3-27885x+1792287\) |
6.2.0.a.1 |
$[]$ |
| 28899.q1 |
28899n1 |
28899.q |
28899n |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{16} \cdot 13^{10} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$21.42554488$ |
$1$ |
|
$0$ |
$21073920$ |
$4.000656$ |
$115540013304585949184/1507513337183302371$ |
$1.06289$ |
$6.93640$ |
$[0, 0, 1, 154335363, -3425556814677]$ |
\(y^2+y=x^3+154335363x-3425556814677\) |
38.2.0.a.1 |
$[(945965296289/1982, 921163758844266869/1982)]$ |
| 28899.r1 |
28899o1 |
28899.r |
28899o |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{11} \cdot 13^{8} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$8.925540606$ |
$1$ |
|
$0$ |
$349440$ |
$1.893852$ |
$70873088/87723$ |
$0.87771$ |
$4.41195$ |
$[0, 0, 1, 72501, -8018501]$ |
\(y^2+y=x^3+72501x-8018501\) |
6.2.0.a.1 |
$[(79681/8, 22966241/8)]$ |
| 28899.s1 |
28899p1 |
28899.s |
28899p |
$1$ |
$1$ |
\( 3^{2} \cdot 13^{2} \cdot 19 \) |
\( - 3^{17} \cdot 13^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$14.23962835$ |
$1$ |
|
$0$ |
$135168$ |
$1.210505$ |
$-544104730624/63950067$ |
$0.95221$ |
$3.78997$ |
$[0, 0, 1, -8463, -328689]$ |
\(y^2+y=x^3-8463x-328689\) |
6.2.0.a.1 |
$[(17690585/206, 72394945457/206)]$ |
