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 |
25992.a1 |
25992t2 |
25992.a |
25992t |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$3.194480736$ |
$1$ |
|
$3$ |
$483840$ |
$2.083115$ |
$445090032/19$ |
$0.91236$ |
$5.21498$ |
$[0, 0, 0, -984447, -375941790]$ |
\(y^2=x^3-984447x-375941790\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(1729, 55594)]$ |
25992.a2 |
25992t1 |
25992.a |
25992t |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$6.388961472$ |
$1$ |
|
$1$ |
$241920$ |
$1.736542$ |
$-1492992/361$ |
$0.85758$ |
$4.41611$ |
$[0, 0, 0, -58482, -6481755]$ |
\(y^2=x^3-58482x-6481755\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(76038/7, 20692881/7)]$ |
25992.b1 |
25992p1 |
25992.b |
25992p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$456$ |
$12$ |
$0$ |
$2.906748823$ |
$1$ |
|
$3$ |
$230400$ |
$1.666603$ |
$470596/57$ |
$0.94139$ |
$4.35309$ |
$[0, 0, 0, -53067, 4183990]$ |
\(y^2=x^3-53067x+4183990\) |
2.3.0.a.1, 8.6.0.d.1, 114.6.0.?, 456.12.0.? |
$[(191, 1008)]$ |
25992.b2 |
25992p2 |
25992.b |
25992p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{8} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$456$ |
$12$ |
$0$ |
$5.813497647$ |
$1$ |
|
$1$ |
$460800$ |
$2.013176$ |
$715822/3249$ |
$0.90786$ |
$4.65173$ |
$[0, 0, 0, 76893, 21468670]$ |
\(y^2=x^3+76893x+21468670\) |
2.3.0.a.1, 8.6.0.a.1, 228.6.0.?, 456.12.0.? |
$[(-319/2, 30807/2)]$ |
25992.c1 |
25992y1 |
25992.c |
25992y |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
2.2.0.1, 5.5.0.1 |
2Cn, 5S4 |
$1140$ |
$60$ |
$2$ |
$5.122015034$ |
$1$ |
|
$0$ |
$287280$ |
$2.058292$ |
$1462911232$ |
$0.97310$ |
$5.31437$ |
$[0, 0, 0, -1378659, -623064701]$ |
\(y^2=x^3-1378659x-623064701\) |
2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 12.4.0-2.a.1.1, 38.6.0.a.1, $\ldots$ |
$[(-196023/17, 43681/17)]$ |
25992.d1 |
25992n1 |
25992.d |
25992n |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 5$ |
2.2.0.1, 5.5.0.1 |
2Cn, 5S4 |
$1140$ |
$60$ |
$2$ |
$1.233577699$ |
$1$ |
|
$2$ |
$15120$ |
$0.586074$ |
$1462911232$ |
$0.97310$ |
$3.57648$ |
$[0, 0, 0, -3819, 90839]$ |
\(y^2=x^3-3819x+90839\) |
2.2.0.a.1, 5.5.0.a.1, 10.10.0.a.1, 38.6.0.a.1, 190.30.2.?, $\ldots$ |
$[(35, 7)]$ |
25992.e1 |
25992z1 |
25992.e |
25992z |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{22} \cdot 19^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$76$ |
$8$ |
$0$ |
$8.869985763$ |
$1$ |
|
$0$ |
$3891200$ |
$3.366875$ |
$-4434684928/43046721$ |
$1.11199$ |
$6.26894$ |
$[0, 0, 0, -13416204, 79740292196]$ |
\(y^2=x^3-13416204x+79740292196\) |
4.4.0.a.1, 38.2.0.a.1, 76.8.0.? |
$[(335008/23, 3253347162/23)]$ |
25992.f1 |
25992f1 |
25992.f |
25992f |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{22} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$76$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$204800$ |
$1.894653$ |
$-4434684928/43046721$ |
$1.11199$ |
$4.53105$ |
$[0, 0, 0, -37164, -11625644]$ |
\(y^2=x^3-37164x-11625644\) |
4.4.0.a.1, 38.2.0.a.1, 76.8.0.? |
$[]$ |
25992.g1 |
25992l1 |
25992.g |
25992l |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.349822825$ |
$1$ |
|
$6$ |
$6912$ |
$0.234307$ |
$38912/27$ |
$0.92397$ |
$2.54017$ |
$[0, 0, 0, 114, 209]$ |
\(y^2=x^3+114x+209\) |
6.2.0.a.1 |
$[(4, 27)]$ |
25992.h1 |
25992x1 |
25992.h |
25992x |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$4.194009957$ |
$1$ |
|
$2$ |
$131328$ |
$1.706526$ |
$38912/27$ |
$0.92397$ |
$4.27806$ |
$[0, 0, 0, 41154, -1433531]$ |
\(y^2=x^3+41154x-1433531\) |
6.2.0.a.1 |
$[(134, 2547)]$ |
25992.i1 |
25992k4 |
25992.i |
25992k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{9} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$456$ |
$48$ |
$0$ |
$6.026395341$ |
$1$ |
|
$1$ |
$552960$ |
$2.687729$ |
$111223479026/3518667$ |
$0.97692$ |
$5.63843$ |
$[0, 0, 0, -4133811, 3145331630]$ |
\(y^2=x^3-4133811x+3145331630\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 24.24.0-24.s.1.8, 76.12.0.?, $\ldots$ |
$[(53257/2, 12154509/2)]$ |
25992.i2 |
25992k2 |
25992.i |
25992k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{12} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.2 |
2Cs |
$456$ |
$48$ |
$0$ |
$12.05279068$ |
$1$ |
|
$3$ |
$276480$ |
$2.341156$ |
$768400132/263169$ |
$0.94504$ |
$5.08085$ |
$[0, 0, 0, -624891, -121472890]$ |
\(y^2=x^3-624891x-121472890\) |
2.6.0.a.1, 8.12.0-2.a.1.2, 12.12.0-2.a.1.1, 24.24.0-24.b.1.5, 76.12.0.?, $\ldots$ |
$[(-906641/43, 650996640/43)]$ |
25992.i3 |
25992k1 |
25992.i |
25992k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$456$ |
$48$ |
$0$ |
$6.026395341$ |
$1$ |
|
$1$ |
$138240$ |
$1.994581$ |
$2211014608/513$ |
$0.92081$ |
$5.04845$ |
$[0, 0, 0, -559911, -161227654]$ |
\(y^2=x^3-559911x-161227654\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.2, 24.24.0-24.y.1.15, $\ldots$ |
$[(38494/5, 6407028/5)]$ |
25992.i4 |
25992k3 |
25992.i |
25992k |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{18} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.13 |
2B |
$456$ |
$48$ |
$0$ |
$24.10558136$ |
$1$ |
|
$1$ |
$552960$ |
$2.687729$ |
$9878111854/10097379$ |
$0.98646$ |
$5.40025$ |
$[0, 0, 0, 1844349, -843972514]$ |
\(y^2=x^3+1844349x-843972514\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.6, 12.12.0-4.c.1.1, 24.24.0-24.y.1.7, $\ldots$ |
$[(16899074834/3655, 2894169488647948/3655)]$ |
25992.j1 |
25992q1 |
25992.j |
25992q |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$109440$ |
$1.611553$ |
$-55404$ |
$0.79665$ |
$4.40074$ |
$[0, 0, 0, -61731, 5994766]$ |
\(y^2=x^3-61731x+5994766\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[]$ |
25992.k1 |
25992c1 |
25992.k |
25992c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5760$ |
$0.139333$ |
$-55404$ |
$0.79665$ |
$2.66285$ |
$[0, 0, 0, -171, -874]$ |
\(y^2=x^3-171x-874\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[]$ |
25992.l1 |
25992bb1 |
25992.l |
25992bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$2.090332$ |
$70575104/61731$ |
$0.95058$ |
$4.70960$ |
$[0, 0, 0, 177612, 20604436]$ |
\(y^2=x^3+177612x+20604436\) |
38.2.0.a.1 |
$[]$ |
25992.m1 |
25992b1 |
25992.m |
25992b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.155626$ |
$54000/19$ |
$0.67126$ |
$3.67953$ |
$[0, 0, 0, -5415, 96026]$ |
\(y^2=x^3-5415x+96026\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
25992.m2 |
25992b2 |
25992.m |
25992b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{3} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.502201$ |
$364500/361$ |
$1.04461$ |
$4.00374$ |
$[0, 0, 0, 16245, 672182]$ |
\(y^2=x^3+16245x+672182\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
25992.n1 |
25992r1 |
25992.n |
25992r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$4.422239919$ |
$1$ |
|
$5$ |
$69120$ |
$1.704933$ |
$54000/19$ |
$0.67126$ |
$4.32796$ |
$[0, 0, 0, -48735, -2592702]$ |
\(y^2=x^3-48735x-2592702\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(-59, 278)]$ |
25992.n2 |
25992r2 |
25992.n |
25992r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$8.844479838$ |
$1$ |
|
$3$ |
$138240$ |
$2.051506$ |
$364500/361$ |
$1.04461$ |
$4.65218$ |
$[0, 0, 0, 146205, -18148914]$ |
\(y^2=x^3+146205x-18148914\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(19435, 2709944)]$ |
25992.o1 |
25992g1 |
25992.o |
25992g |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.463719068$ |
$1$ |
|
$4$ |
$6912$ |
$0.388767$ |
$-4864000/27$ |
$0.93971$ |
$3.01608$ |
$[0, 0, 0, -570, -5263]$ |
\(y^2=x^3-570x-5263\) |
6.2.0.a.1 |
$[(28, 27)]$ |
25992.p1 |
25992h1 |
25992.p |
25992h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$8.275027657$ |
$1$ |
|
$0$ |
$86400$ |
$1.604347$ |
$-31250/19$ |
$0.89957$ |
$4.22514$ |
$[0, 0, 0, -27075, -2455522]$ |
\(y^2=x^3-27075x-2455522\) |
152.2.0.? |
$[(138434/13, 50339284/13)]$ |
25992.q1 |
25992u1 |
25992.q |
25992u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.147616898$ |
$1$ |
|
$2$ |
$131328$ |
$1.860987$ |
$-4864000/27$ |
$0.93971$ |
$4.75397$ |
$[0, 0, 0, -205770, 36098917]$ |
\(y^2=x^3-205770x+36098917\) |
6.2.0.a.1 |
$[(722, 16245)]$ |
25992.r1 |
25992i1 |
25992.r |
25992i |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$0.353443504$ |
$1$ |
|
$6$ |
$69120$ |
$1.410046$ |
$-1024/19$ |
$0.79665$ |
$3.95782$ |
$[0, 0, 0, -4332, 631028]$ |
\(y^2=x^3-4332x+631028\) |
38.2.0.a.1 |
$[(38, 722)]$ |
25992.s1 |
25992j1 |
25992.s |
25992j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$2.594508975$ |
$1$ |
|
$2$ |
$23040$ |
$0.648239$ |
$-104272/243$ |
$0.87512$ |
$3.06873$ |
$[0, 0, 0, -399, -6878]$ |
\(y^2=x^3-399x-6878\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[(26, 18)]$ |
25992.t1 |
25992w1 |
25992.t |
25992w |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$0.485260743$ |
$1$ |
|
$6$ |
$437760$ |
$2.120461$ |
$-104272/243$ |
$0.87512$ |
$4.80662$ |
$[0, 0, 0, -144039, 47176202]$ |
\(y^2=x^3-144039x+47176202\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[(361, 6498)]$ |
25992.u1 |
25992e2 |
25992.u |
25992e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$486400$ |
$2.348621$ |
$1203052/9$ |
$1.19561$ |
$5.31437$ |
$[0, 0, 0, -1378659, 619024750]$ |
\(y^2=x^3-1378659x+619024750\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[]$ |
25992.u2 |
25992e1 |
25992.u |
25992e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$243200$ |
$2.002045$ |
$5488/3$ |
$0.87364$ |
$4.64777$ |
$[0, 0, 0, -144039, -4952198]$ |
\(y^2=x^3-144039x-4952198\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
25992.v1 |
25992v2 |
25992.v |
25992v |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{8} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$2.075801889$ |
$1$ |
|
$5$ |
$25600$ |
$0.876401$ |
$1203052/9$ |
$1.19561$ |
$3.57648$ |
$[0, 0, 0, -3819, -90250]$ |
\(y^2=x^3-3819x-90250\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(-37, 20)]$ |
25992.v2 |
25992v1 |
25992.v |
25992v |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1.037900944$ |
$1$ |
|
$7$ |
$12800$ |
$0.529827$ |
$5488/3$ |
$0.87364$ |
$2.90988$ |
$[0, 0, 0, -399, 722]$ |
\(y^2=x^3-399x+722\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(1, 18)]$ |
25992.w1 |
25992bc6 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{11} \cdot 3^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.210 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$221184$ |
$2.069321$ |
$3065617154/9$ |
$1.21059$ |
$5.28515$ |
$[0, 0, 0, -1248699, -537073418]$ |
\(y^2=x^3-1248699x-537073418\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.r.1, 16.48.0.l.1, 24.48.0.bf.1, $\ldots$ |
$[]$ |
25992.w2 |
25992bc4 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.127 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.722748$ |
$28756228/3$ |
$1.05617$ |
$4.75765$ |
$[0, 0, 0, -209019, 36777958]$ |
\(y^2=x^3-209019x+36777958\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0.h.1, 16.48.0.bb.2, $\ldots$ |
$[]$ |
25992.w3 |
25992bc3 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.88 |
2Cs |
$456$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$3$ |
$110592$ |
$1.722748$ |
$1556068/81$ |
$1.03212$ |
$4.47073$ |
$[0, 0, 0, -79059, -8162210]$ |
\(y^2=x^3-79059x-8162210\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.e.2, 24.96.1.bl.2, 152.96.0.?, $\ldots$ |
$[]$ |
25992.w4 |
25992bc2 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.138 |
2Cs |
$456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$55296$ |
$1.376173$ |
$35152/9$ |
$0.97255$ |
$3.96151$ |
$[0, 0, 0, -14079, 480130]$ |
\(y^2=x^3-14079x+480130\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.h.1, 12.24.0.c.1, 24.96.1.bu.1, $\ldots$ |
$[]$ |
25992.w5 |
25992bc1 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.150 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.029600$ |
$2048/3$ |
$1.17572$ |
$3.45103$ |
$[0, 0, 0, 2166, 48013]$ |
\(y^2=x^3+2166x+48013\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.ba.1, 12.12.0.g.1, $\ldots$ |
$[]$ |
25992.w6 |
25992bc5 |
25992.w |
25992bc |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{14} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.218 |
2B |
$912$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$221184$ |
$2.069321$ |
$207646/6561$ |
$1.15980$ |
$4.73246$ |
$[0, 0, 0, 50901, -32360762]$ |
\(y^2=x^3+50901x-32360762\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.m.1, 48.96.1.w.2, 228.12.0.?, $\ldots$ |
$[]$ |
25992.x1 |
25992a1 |
25992.x |
25992a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 19^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$18.67752606$ |
$1$ |
|
$0$ |
$328320$ |
$2.160858$ |
$-55404$ |
$0.79665$ |
$5.04918$ |
$[0, 0, 0, -555579, -161858682]$ |
\(y^2=x^3-555579x-161858682\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[(1314052671/1165, 22793520130344/1165)]$ |
25992.y1 |
25992s1 |
25992.y |
25992s |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.5.0.1 |
5S4 |
$30$ |
$10$ |
$0$ |
$1.264883577$ |
$1$ |
|
$2$ |
$17280$ |
$0.688639$ |
$-55404$ |
$0.79665$ |
$3.31128$ |
$[0, 0, 0, -1539, 23598]$ |
\(y^2=x^3-1539x+23598\) |
5.5.0.a.1, 6.2.0.a.1, 30.10.0.a.1 |
$[(-21, 216)]$ |
25992.z1 |
25992m1 |
25992.z |
25992m |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1.286394417$ |
$1$ |
|
$4$ |
$276480$ |
$2.004848$ |
$-81415168/13851$ |
$0.91437$ |
$4.74901$ |
$[0, 0, 0, -186276, 35200388]$ |
\(y^2=x^3-186276x+35200388\) |
38.2.0.a.1 |
$[(-38, 6498)]$ |
25992.ba1 |
25992d2 |
25992.ba |
25992d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$1.533808$ |
$445090032/19$ |
$0.91236$ |
$4.56655$ |
$[0, 0, 0, -109383, 13923770]$ |
\(y^2=x^3-109383x+13923770\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[]$ |
25992.ba2 |
25992d1 |
25992.ba |
25992d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$80640$ |
$1.187235$ |
$-1492992/361$ |
$0.85758$ |
$3.76768$ |
$[0, 0, 0, -6498, 240065]$ |
\(y^2=x^3-6498x+240065\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[]$ |
25992.bb1 |
25992o1 |
25992.bb |
25992o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 19^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$75.66716576$ |
$1$ |
|
$0$ |
$574560$ |
$2.330807$ |
$-722$ |
$0.85758$ |
$5.06264$ |
$[0, 0, 0, -390963, -173326930]$ |
\(y^2=x^3-390963x-173326930\) |
8.2.0.a.1 |
$[(724266099403719224364121104697190/89255320650029, 19491125365837199352386384794466955721783070737670/89255320650029)]$ |
25992.bc1 |
25992ba1 |
25992.bc |
25992ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 19^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 19^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$7.825486955$ |
$1$ |
|
$2$ |
$30240$ |
$0.858588$ |
$-722$ |
$0.85758$ |
$3.32475$ |
$[0, 0, 0, -1083, 25270]$ |
\(y^2=x^3-1083x+25270\) |
8.2.0.a.1 |
$[(2490, 124240)]$ |