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 |
124800.a1 |
124800bb1 |
124800.a |
124800bb |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$2.612362041$ |
$1$ |
|
$6$ |
$73728$ |
$0.359756$ |
$27440000/85293$ |
$1.27135$ |
$2.33216$ |
$[0, -1, 0, 117, -1053]$ |
\(y^2=x^3-x^2+117x-1053\) |
52.2.0.a.1 |
$[(18, 81), (11, 38)]$ |
124800.b1 |
124800ed1 |
124800.b |
124800ed |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.837171237$ |
$1$ |
|
$2$ |
$368640$ |
$1.164474$ |
$27440000/85293$ |
$1.27135$ |
$3.15508$ |
$[0, -1, 0, 2917, 125787]$ |
\(y^2=x^3-x^2+2917x+125787\) |
52.2.0.a.1 |
$[(-7, 324)]$ |
124800.c1 |
124800l2 |
124800.c |
124800l |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{5} \cdot 5^{16} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.223216005$ |
$1$ |
|
$3$ |
$4300800$ |
$2.332623$ |
$107780436647296/30849609375$ |
$0.97568$ |
$4.40342$ |
$[0, -1, 0, -629533, 136886437]$ |
\(y^2=x^3-x^2-629533x+136886437\) |
2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.? |
$[(807, 12400)]$ |
124800.c2 |
124800l1 |
124800.c |
124800l |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{10} \cdot 5^{11} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.111608002$ |
$1$ |
|
$3$ |
$2150400$ |
$1.986048$ |
$714499059957728/31185253125$ |
$0.97451$ |
$4.15113$ |
$[0, -1, 0, -234658, -41991938]$ |
\(y^2=x^3-x^2-234658x-41991938\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(4537, 303750)]$ |
124800.d1 |
124800ba2 |
124800.d |
124800ba |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{5} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$312$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$2.333893$ |
$126203669270656/29322864675$ |
$0.97385$ |
$4.41687$ |
$[0, -1, 0, -663533, -160723563]$ |
\(y^2=x^3-x^2-663533x-160723563\) |
2.3.0.a.1, 12.6.0.a.1, 104.6.0.?, 312.12.0.? |
$[ ]$ |
124800.d2 |
124800ba1 |
124800.d |
124800ba |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{10} \cdot 5^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$312$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$1.987322$ |
$48680697104032/81081658125$ |
$0.98149$ |
$3.97591$ |
$[0, -1, 0, 95842, -15682938]$ |
\(y^2=x^3-x^2+95842x-15682938\) |
2.3.0.a.1, 12.6.0.b.1, 104.6.0.?, 312.12.0.? |
$[ ]$ |
124800.e1 |
124800dk2 |
124800.e |
124800dk |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3 \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$312$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$835584$ |
$1.742708$ |
$6680043078784/316875$ |
$0.94395$ |
$4.16643$ |
$[0, -1, 0, -249133, 47943637]$ |
\(y^2=x^3-x^2-249133x+47943637\) |
2.3.0.a.1, 12.6.0.a.1, 104.6.0.?, 312.12.0.? |
$[ ]$ |
124800.e2 |
124800dk1 |
124800.e |
124800dk |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{2} \cdot 5^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$312$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$417792$ |
$1.396135$ |
$-177748384352/45703125$ |
$0.91779$ |
$3.47523$ |
$[0, -1, 0, -14758, 834262]$ |
\(y^2=x^3-x^2-14758x+834262\) |
2.3.0.a.1, 12.6.0.b.1, 104.6.0.?, 312.12.0.? |
$[ ]$ |
124800.f1 |
124800dj2 |
124800.f |
124800dj |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$312$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.007568$ |
$8821888/4563$ |
$1.13046$ |
$3.01279$ |
$[0, -1, 0, -2733, 18837]$ |
\(y^2=x^3-x^2-2733x+18837\) |
2.3.0.a.1, 12.6.0.a.1, 104.6.0.?, 312.12.0.? |
$[ ]$ |
124800.f2 |
124800dj1 |
124800.f |
124800dj |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{6} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$312$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$0.660995$ |
$14609056/9477$ |
$0.92836$ |
$2.64229$ |
$[0, -1, 0, 642, 1962]$ |
\(y^2=x^3-x^2+642x+1962\) |
2.3.0.a.1, 12.6.0.b.1, 104.6.0.?, 312.12.0.? |
$[ ]$ |
124800.g1 |
124800di2 |
124800.g |
124800di |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{20} \cdot 5^{11} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8601600$ |
$2.982685$ |
$601942297084171232/141650616290625$ |
$1.01463$ |
$5.07961$ |
$[0, -1, 0, -8865033, -7822845063]$ |
\(y^2=x^3-x^2-8865033x-7822845063\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 312.12.0.?, 520.12.0.?, $\ldots$ |
$[ ]$ |
124800.g2 |
124800di1 |
124800.g |
124800di |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{10} \cdot 5^{16} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4300800$ |
$2.636112$ |
$59519748892520576/97453916015625$ |
$1.02150$ |
$4.63854$ |
$[0, -1, 0, 1291217, -764251313]$ |
\(y^2=x^3-x^2+1291217x-764251313\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 312.12.0.?, 520.12.0.?, $\ldots$ |
$[ ]$ |
124800.h1 |
124800k2 |
124800.h |
124800k |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3120$ |
$48$ |
$0$ |
$2.716899217$ |
$1$ |
|
$5$ |
$245760$ |
$1.179298$ |
$4269850592/5265$ |
$0.86793$ |
$3.48055$ |
$[0, -1, 0, -17033, -849063]$ |
\(y^2=x^3-x^2-17033x-849063\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 312.12.0.?, 520.12.0.?, $\ldots$ |
$[(-77, 4)]$ |
124800.h2 |
124800k1 |
124800.h |
124800k |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3120$ |
$48$ |
$0$ |
$1.358449608$ |
$1$ |
|
$7$ |
$122880$ |
$0.832724$ |
$-13289344/38025$ |
$0.83343$ |
$2.84518$ |
$[0, -1, 0, -783, -20313]$ |
\(y^2=x^3-x^2-783x-20313\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 312.12.0.?, 520.12.0.?, $\ldots$ |
$[(87, 750)]$ |
124800.i1 |
124800dl2 |
124800.i |
124800dl |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.413252$ |
$35891914208/190125$ |
$0.89332$ |
$3.66197$ |
$[0, -1, 0, -34633, -2457863]$ |
\(y^2=x^3-x^2-34633x-2457863\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[ ]$ |
124800.i2 |
124800dl1 |
124800.i |
124800dl |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3 \cdot 5^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$1.066679$ |
$1070774656/609375$ |
$0.94792$ |
$3.06733$ |
$[0, -1, 0, -3383, 10887]$ |
\(y^2=x^3-x^2-3383x+10887\) |
2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.? |
$[ ]$ |
124800.j1 |
124800dm2 |
124800.j |
124800dm |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{14} \cdot 3^{3} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.370058$ |
$45234335104/8775$ |
$0.89703$ |
$3.74076$ |
$[0, -1, 0, -47133, 3953637]$ |
\(y^2=x^3-x^2-47133x+3953637\) |
2.3.0.a.1, 40.6.0.c.1, 156.6.0.?, 1560.12.0.? |
$[ ]$ |
124800.j2 |
124800dm1 |
124800.j |
124800dm |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.023483$ |
$1912847072/616005$ |
$0.87426$ |
$3.05770$ |
$[0, -1, 0, -3258, 48762]$ |
\(y^2=x^3-x^2-3258x+48762\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[ ]$ |
124800.k1 |
124800i1 |
124800.k |
124800i |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{22} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$2.480045680$ |
$1$ |
|
$0$ |
$844800$ |
$1.707430$ |
$-5569542323205760/407953774917$ |
$1.00658$ |
$3.84673$ |
$[0, -1, 0, -68563, 7357267]$ |
\(y^2=x^3-x^2-68563x+7357267\) |
52.2.0.a.1 |
$[(2194/5, 177147/5)]$ |
124800.l1 |
124800em1 |
124800.l |
124800em |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{22} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224000$ |
$2.512150$ |
$-5569542323205760/407953774917$ |
$1.00658$ |
$4.66966$ |
$[0, -1, 0, -1714083, -916230213]$ |
\(y^2=x^3-x^2-1714083x-916230213\) |
52.2.0.a.1 |
$[ ]$ |
124800.m1 |
124800bg2 |
124800.m |
124800bg |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{3} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$0.818509978$ |
$1$ |
|
$23$ |
$45056$ |
$0.476003$ |
$6572128/1521$ |
$0.81011$ |
$2.51716$ |
$[0, -1, 0, -393, 2457]$ |
\(y^2=x^3-x^2-393x+2457\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-3, 60), (17, 20)]$ |
124800.m2 |
124800bg1 |
124800.m |
124800bg |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{3} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.274039915$ |
$1$ |
|
$11$ |
$22528$ |
$0.129429$ |
$628864/1053$ |
$0.79435$ |
$2.07624$ |
$[0, -1, 0, 57, 207]$ |
\(y^2=x^3-x^2+57x+207\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(6, 27), (-2, 9)]$ |
124800.n1 |
124800u1 |
124800.n |
124800u |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$24$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.598335$ |
$9517173136000/62462907$ |
$1.15930$ |
$3.84218$ |
$[0, -1, 0, -70083, -7077213]$ |
\(y^2=x^3-x^2-70083x-7077213\) |
2.3.0.a.1, 8.6.0.d.1, 12.6.0.a.1, 24.12.0.w.1 |
$[ ]$ |
124800.n2 |
124800u2 |
124800.n |
124800u |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3^{14} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$24$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.944908$ |
$-18629852000/808321761$ |
$1.05022$ |
$3.97513$ |
$[0, -1, 0, -27833, -15569463]$ |
\(y^2=x^3-x^2-27833x-15569463\) |
2.3.0.a.1, 8.6.0.a.1, 12.6.0.b.1, 24.12.0.c.1 |
$[ ]$ |
124800.o1 |
124800v1 |
124800.o |
124800v |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{10} \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3830400$ |
$2.541100$ |
$-21459903980300000/812017791$ |
$1.07582$ |
$4.98970$ |
$[0, -1, 0, -6236458, -5992647338]$ |
\(y^2=x^3-x^2-6236458x-5992647338\) |
312.2.0.? |
$[ ]$ |
124800.p1 |
124800dz1 |
124800.p |
124800dz |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3 \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$3.237096771$ |
$1$ |
|
$2$ |
$288000$ |
$1.306374$ |
$-91485920/6591$ |
$0.83815$ |
$3.43735$ |
$[0, -1, 0, -13833, -659463]$ |
\(y^2=x^3-x^2-13833x-659463\) |
312.2.0.? |
$[(367, 6600)]$ |
124800.q1 |
124800bf1 |
124800.q |
124800bf |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{5} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124800$ |
$0.830222$ |
$-212960/3159$ |
$0.83887$ |
$2.83596$ |
$[0, -1, 0, -458, -19338]$ |
\(y^2=x^3-x^2-458x-19338\) |
312.2.0.? |
$[ ]$ |
124800.r1 |
124800ea1 |
124800.r |
124800ea |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$13.23831346$ |
$1$ |
|
$1$ |
$768000$ |
$1.710291$ |
$6305144584288/123201$ |
$1.09741$ |
$4.15949$ |
$[0, -1, 0, -242458, -45870338]$ |
\(y^2=x^3-x^2-242458x-45870338\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-20500067/269, 396047556/269)]$ |
124800.r2 |
124800ea2 |
124800.r |
124800ea |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{12} \cdot 5^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$26.47662692$ |
$1$ |
|
$1$ |
$1536000$ |
$2.056866$ |
$-44470902656/6908733$ |
$0.93558$ |
$4.17104$ |
$[0, -1, 0, -234333, -49095963]$ |
\(y^2=x^3-x^2-234333x-49095963\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(8059652304057/39812, 22770501502609845477/39812)]$ |
124800.s1 |
124800bj1 |
124800.s |
124800bj |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{6} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.238649899$ |
$1$ |
|
$3$ |
$153600$ |
$0.905573$ |
$6305144584288/123201$ |
$1.09741$ |
$3.33656$ |
$[0, -1, 0, -9698, 370842]$ |
\(y^2=x^3-x^2-9698x+370842\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(53, 54)]$ |
124800.s2 |
124800bj2 |
124800.s |
124800bj |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{12} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$2.477299799$ |
$1$ |
|
$3$ |
$307200$ |
$1.252146$ |
$-44470902656/6908733$ |
$0.93558$ |
$3.34811$ |
$[0, -1, 0, -9373, 396517]$ |
\(y^2=x^3-x^2-9373x+396517\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(47, 240)]$ |
124800.t1 |
124800dq1 |
124800.t |
124800dq |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{5} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$2.129581637$ |
$1$ |
|
$2$ |
$24960$ |
$0.025503$ |
$-212960/3159$ |
$0.83887$ |
$2.01304$ |
$[0, -1, 0, -18, 162]$ |
\(y^2=x^3-x^2-18x+162\) |
312.2.0.? |
$[(1, 12)]$ |
124800.u1 |
124800dp1 |
124800.u |
124800dp |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{13} \cdot 3 \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$0.297361668$ |
$1$ |
|
$8$ |
$57600$ |
$0.501654$ |
$-91485920/6591$ |
$0.83815$ |
$2.61442$ |
$[0, -1, 0, -553, 5497]$ |
\(y^2=x^3-x^2-553x+5497\) |
312.2.0.? |
$[(21, 52)]$ |
124800.v1 |
124800t1 |
124800.v |
124800t |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{4} \cdot 5^{7} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3120$ |
$48$ |
$0$ |
$5.351017236$ |
$1$ |
|
$7$ |
$294912$ |
$1.316778$ |
$9845874648032/68445$ |
$0.94440$ |
$3.78600$ |
$[0, -1, 0, -56258, 5154762]$ |
\(y^2=x^3-x^2-56258x+5154762\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.3, 40.12.0.p.1, 120.24.0.?, $\ldots$ |
$[(101, 702), (-263, 1300)]$ |
124800.v2 |
124800t2 |
124800.v |
124800t |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{8} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3120$ |
$48$ |
$0$ |
$1.337754309$ |
$1$ |
|
$17$ |
$589824$ |
$1.663351$ |
$-72397988224/6426225$ |
$0.90555$ |
$3.79300$ |
$[0, -1, 0, -55133, 5369637]$ |
\(y^2=x^3-x^2-55133x+5369637\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.2, 40.12.0.g.1, 120.24.0.?, $\ldots$ |
$[(52, 1625), (143, 624)]$ |
124800.w1 |
124800s1 |
124800.w |
124800s |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{12} \cdot 5^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$589824$ |
$1.619823$ |
$7019690489312/449067645$ |
$0.94379$ |
$3.75717$ |
$[0, -1, 0, -50258, -4073238]$ |
\(y^2=x^3-x^2-50258x-4073238\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.3, 40.12.0.p.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
124800.w2 |
124800s2 |
124800.w |
124800s |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$1.966398$ |
$29484338816/520524225$ |
$0.97153$ |
$3.99272$ |
$[0, -1, 0, 40867, -17286363]$ |
\(y^2=x^3-x^2+40867x-17286363\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.2, 40.12.0.g.1, 120.24.0.?, $\ldots$ |
$[ ]$ |
124800.x1 |
124800eb1 |
124800.x |
124800eb |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{7} \cdot 3^{7} \cdot 5^{4} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$9.099163932$ |
$1$ |
|
$0$ |
$766080$ |
$1.736380$ |
$-21459903980300000/812017791$ |
$1.07582$ |
$4.16677$ |
$[0, -1, 0, -249458, 48040962]$ |
\(y^2=x^3-x^2-249458x+48040962\) |
312.2.0.? |
$[(25681/9, 618508/9)]$ |
124800.y1 |
124800bk2 |
124800.y |
124800bk |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{2} \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.160531309$ |
$1$ |
|
$5$ |
$225280$ |
$1.280722$ |
$6572128/1521$ |
$0.81011$ |
$3.34009$ |
$[0, -1, 0, -9833, -287463]$ |
\(y^2=x^3-x^2-9833x-287463\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-37, 156)]$ |
124800.y2 |
124800bk1 |
124800.y |
124800bk |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{4} \cdot 5^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$6.321062618$ |
$1$ |
|
$1$ |
$112640$ |
$0.934148$ |
$628864/1053$ |
$0.79435$ |
$2.89917$ |
$[0, -1, 0, 1417, -28713]$ |
\(y^2=x^3-x^2+1417x-28713\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(1589/2, 63531/2)]$ |
124800.z1 |
124800eh1 |
124800.z |
124800eh |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 13^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.435313472$ |
$1$ |
|
$16$ |
$1152000$ |
$1.943525$ |
$-12779955902080/270672597$ |
$0.96863$ |
$4.14467$ |
$[0, -1, 0, -226083, -42051213]$ |
\(y^2=x^3-x^2-226083x-42051213\) |
52.2.0.a.1 |
$[(642, 8775), (967, 25350)]$ |
124800.ba1 |
124800e1 |
124800.ba |
124800e |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.978365058$ |
$1$ |
|
$2$ |
$122880$ |
$0.943188$ |
$-950685581440/1053$ |
$0.94761$ |
$3.45166$ |
$[0, -1, 0, -15213, 727317]$ |
\(y^2=x^3-x^2-15213x+727317\) |
52.2.0.a.1 |
$[(71, 8)]$ |
124800.bb1 |
124800f1 |
124800.bb |
124800f |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$3.584540488$ |
$1$ |
|
$2$ |
$168960$ |
$0.914784$ |
$-400000/117$ |
$0.86800$ |
$2.97822$ |
$[0, -1, 0, -2083, -44213]$ |
\(y^2=x^3-x^2-2083x-44213\) |
52.2.0.a.1 |
$[(61, 228)]$ |
124800.bc1 |
124800eg1 |
124800.bc |
124800eg |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{2} \cdot 5^{4} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.419032123$ |
$1$ |
|
$16$ |
$33792$ |
$0.110066$ |
$-400000/117$ |
$0.86800$ |
$2.15529$ |
$[0, -1, 0, -83, 387]$ |
\(y^2=x^3-x^2-83x+387\) |
52.2.0.a.1 |
$[(2, 15), (7, 10)]$ |
124800.bd1 |
124800bh1 |
124800.bd |
124800bh |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{4} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$5.430988761$ |
$1$ |
|
$2$ |
$614400$ |
$1.747906$ |
$-950685581440/1053$ |
$0.94761$ |
$4.27459$ |
$[0, -1, 0, -380333, -90153963]$ |
\(y^2=x^3-x^2-380333x-90153963\) |
52.2.0.a.1 |
$[(5167, 368600)]$ |
124800.be1 |
124800g1 |
124800.be |
124800g |
$1$ |
$1$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1.881792118$ |
$1$ |
|
$2$ |
$230400$ |
$1.138807$ |
$-12779955902080/270672597$ |
$0.96863$ |
$3.32174$ |
$[0, -1, 0, -9043, 340027]$ |
\(y^2=x^3-x^2-9043x+340027\) |
52.2.0.a.1 |
$[(61, 108)]$ |
124800.bf1 |
124800bc2 |
124800.bf |
124800bc |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{13} \cdot 3^{7} \cdot 5^{3} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$745472$ |
$1.615965$ |
$166463915033056/62462907$ |
$0.99049$ |
$3.96993$ |
$[0, -1, 0, -115513, -15067703]$ |
\(y^2=x^3-x^2-115513x-15067703\) |
2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.? |
$[ ]$ |
124800.bf2 |
124800bc1 |
124800.bf |
124800bc |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$372736$ |
$1.269392$ |
$-809134470272/808321761$ |
$1.15242$ |
$3.30613$ |
$[0, -1, 0, -6163, -305453]$ |
\(y^2=x^3-x^2-6163x-305453\) |
2.3.0.a.1, 20.6.0.a.1, 24.6.0.j.1, 120.12.0.? |
$[ ]$ |
124800.bg1 |
124800ef1 |
124800.bg |
124800ef |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$372736$ |
$1.269392$ |
$166463915033056/62462907$ |
$0.99049$ |
$3.61551$ |
$[0, -1, 0, -28878, 1897902]$ |
\(y^2=x^3-x^2-28878x+1897902\) |
2.3.0.a.1, 20.6.0.b.1, 24.6.0.j.1, 120.12.0.? |
$[ ]$ |
124800.bg2 |
124800ef2 |
124800.bg |
124800ef |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$745472$ |
$1.615965$ |
$-809134470272/808321761$ |
$1.15242$ |
$3.66054$ |
$[0, -1, 0, -24653, 2468277]$ |
\(y^2=x^3-x^2-24653x+2468277\) |
2.3.0.a.1, 20.6.0.a.1, 24.6.0.j.1, 120.12.0.? |
$[ ]$ |