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 |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
Weierstrass coefficients |
Weierstrass equation |
16830.a1 |
16830d1 |
16830.a |
16830d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 11^{5} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2.582425833$ |
$1$ |
|
$7$ |
$153600$ |
$1.804893$ |
$63486961018176728187/21521824913600$ |
$[1, -1, 0, -249330, -47842924]$ |
\(y^2+xy=x^3-x^2-249330x-47842924\) |
16830.a2 |
16830d2 |
16830.a |
16830d |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5.164851666$ |
$1$ |
|
$4$ |
$307200$ |
$2.151466$ |
$-40509209135606968827/37479578548445000$ |
$[1, -1, 0, -214650, -61652500]$ |
\(y^2+xy=x^3-x^2-214650x-61652500\) |
16830.b1 |
16830s2 |
16830.b |
16830s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2.112458901$ |
$1$ |
|
$4$ |
$172032$ |
$1.831423$ |
$88526309511756241/26991954000000$ |
$[1, -1, 0, -83565, -6374619]$ |
\(y^2+xy=x^3-x^2-83565x-6374619\) |
16830.b2 |
16830s1 |
16830.b |
16830s |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{3} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4.224917803$ |
$1$ |
|
$3$ |
$86016$ |
$1.484850$ |
$448733772344879/527357952000$ |
$[1, -1, 0, 14355, -675675]$ |
\(y^2+xy=x^3-x^2+14355x-675675\) |
16830.c1 |
16830r1 |
16830.c |
16830r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 11^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$40320$ |
$1.055548$ |
$-72043225281/3291200000$ |
$[1, -1, 0, -780, -74800]$ |
\(y^2+xy=x^3-x^2-780x-74800\) |
16830.d1 |
16830e1 |
16830.d |
16830e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{26} \cdot 3^{9} \cdot 5^{2} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8.353184131$ |
$1$ |
|
$3$ |
$748800$ |
$2.521664$ |
$9031490088862377843/4593378603827200$ |
$[1, -1, 0, -1171410, 170143316]$ |
\(y^2+xy=x^3-x^2-1171410x+170143316\) |
16830.d2 |
16830e2 |
16830.d |
16830e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{13} \cdot 3^{9} \cdot 5 \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$16.70636826$ |
$1$ |
|
$0$ |
$1497600$ |
$2.868240$ |
$465104823145335330957/307032707468861440$ |
$[1, -1, 0, 4358190, 1312558676]$ |
\(y^2+xy=x^3-x^2+4358190x+1312558676\) |
16830.e1 |
16830q2 |
16830.e |
16830q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2.393189165$ |
$1$ |
|
$14$ |
$36864$ |
$1.180637$ |
$75370704203521/7497765000$ |
$[1, -1, 0, -7920, -244904]$ |
\(y^2+xy=x^3-x^2-7920x-244904\) |
16830.e2 |
16830q1 |
16830.e |
16830q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.598297291$ |
$1$ |
|
$25$ |
$18432$ |
$0.834064$ |
$885012508801/137332800$ |
$[1, -1, 0, -1800, 25600]$ |
\(y^2+xy=x^3-x^2-1800x+25600\) |
16830.f1 |
16830p1 |
16830.f |
16830p |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 11^{4} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$1$ |
$9$ |
$3$ |
$0$ |
$1440000$ |
$2.972473$ |
$-1606220241149825308027441/2128704136908800000$ |
$[1, -1, 0, -21958515, -39645067019]$ |
\(y^2+xy=x^3-x^2-21958515x-39645067019\) |
16830.f2 |
16830p2 |
16830.f |
16830p |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5 \cdot 11^{20} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$1$ |
$9$ |
$3$ |
$0$ |
$7200000$ |
$3.777191$ |
$570983676137286216962798159/457469996554140806256680$ |
$[1, -1, 0, 155552085, 462972313741]$ |
\(y^2+xy=x^3-x^2+155552085x+462972313741\) |
16830.g1 |
16830u2 |
16830.g |
16830u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{7} \cdot 3^{12} \cdot 5^{4} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2.553641887$ |
$1$ |
|
$4$ |
$86016$ |
$1.613916$ |
$179865548102096641/119964240000$ |
$[1, -1, 0, -105840, -13219200]$ |
\(y^2+xy=x^3-x^2-105840x-13219200\) |
16830.g2 |
16830u1 |
16830.g |
16830u |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.276820943$ |
$1$ |
|
$7$ |
$43008$ |
$1.267344$ |
$75370704203521/35157196800$ |
$[1, -1, 0, -7920, -117504]$ |
\(y^2+xy=x^3-x^2-7920x-117504\) |
16830.h1 |
16830k2 |
16830.h |
16830k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{15} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6.201331982$ |
$1$ |
|
$0$ |
$43200$ |
$1.242987$ |
$-2575296504243/765952000$ |
$[1, -1, 0, -7710, -318700]$ |
\(y^2+xy=x^3-x^2-7710x-318700\) |
16830.h2 |
16830k1 |
16830.h |
16830k |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5 \cdot 11^{3} \cdot 17^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2.067110660$ |
$1$ |
|
$6$ |
$14400$ |
$0.693681$ |
$1434104310933/1046272480$ |
$[1, -1, 0, 705, 3501]$ |
\(y^2+xy=x^3-x^2+705x+3501\) |
16830.i1 |
16830f2 |
16830.i |
16830f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{14} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$0$ |
$2257920$ |
$3.225063$ |
$48987507305640443781123/19983176659298631680$ |
$[1, -1, 0, -20581845, -19518668299]$ |
\(y^2+xy=x^3-x^2-20581845x-19518668299\) |
16830.i2 |
16830f1 |
16830.i |
16830f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{28} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$1128960$ |
$2.878490$ |
$4851826120835540459523/104813489343692800$ |
$[1, -1, 0, -9522645, 11099832821]$ |
\(y^2+xy=x^3-x^2-9522645x+11099832821\) |
16830.j1 |
16830g2 |
16830.j |
16830g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$0$ |
$18432$ |
$0.744778$ |
$170676802323/158950$ |
$[1, -1, 0, -3120, -66250]$ |
\(y^2+xy=x^3-x^2-3120x-66250\) |
16830.j2 |
16830g1 |
16830.j |
16830g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.398204$ |
$-19034163/41140$ |
$[1, -1, 0, -150, -1504]$ |
\(y^2+xy=x^3-x^2-150x-1504\) |
16830.k1 |
16830i2 |
16830.k |
16830i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.957676870$ |
$1$ |
|
$6$ |
$46080$ |
$1.296707$ |
$553529221679043/11190080$ |
$[1, -1, 0, -46185, 3831821]$ |
\(y^2+xy=x^3-x^2-46185x+3831821\) |
16830.k2 |
16830i1 |
16830.k |
16830i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.915353740$ |
$1$ |
|
$5$ |
$23040$ |
$0.950134$ |
$149467669443/19148800$ |
$[1, -1, 0, -2985, 56141]$ |
\(y^2+xy=x^3-x^2-2985x+56141\) |
16830.l1 |
16830t5 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2 \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.100 |
2B |
$3.114202236$ |
$1$ |
|
$4$ |
$393216$ |
$2.364475$ |
$2757381641970898311361/379829992662450$ |
$[1, -1, 0, -2629260, 1641423766]$ |
\(y^2+xy=x^3-x^2-2629260x+1641423766\) |
16830.l2 |
16830t3 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 11^{4} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.22 |
2Cs |
$1.557101118$ |
$1$ |
|
$12$ |
$196608$ |
$2.017899$ |
$870220733067747361/247623269602500$ |
$[1, -1, 0, -179010, 20828416]$ |
\(y^2+xy=x^3-x^2-179010x+20828416\) |
16830.l3 |
16830t2 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{8} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.25 |
2Cs |
$3.114202236$ |
$1$ |
|
$8$ |
$98304$ |
$1.671328$ |
$44633474953947361/1967006250000$ |
$[1, -1, 0, -66510, -6329084]$ |
\(y^2+xy=x^3-x^2-66510x-6329084\) |
16830.l4 |
16830t1 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$6.228404472$ |
$1$ |
|
$3$ |
$49152$ |
$1.324753$ |
$43199583152847841/89760000$ |
$[1, -1, 0, -65790, -6478700]$ |
\(y^2+xy=x^3-x^2-65790x-6478700\) |
16830.l5 |
16830t4 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{16} \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.5 |
2B |
$6.228404472$ |
$1$ |
|
$2$ |
$196608$ |
$2.017899$ |
$6213165856218719/342407226562500$ |
$[1, -1, 0, 34470, -23919800]$ |
\(y^2+xy=x^3-x^2+34470x-23919800\) |
16830.l6 |
16830t6 |
16830.l |
16830t |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{14} \cdot 5^{2} \cdot 11^{8} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.99 |
2B |
$0.778550559$ |
$1$ |
|
$8$ |
$393216$ |
$2.364475$ |
$15875306080318016639/20322604533582450$ |
$[1, -1, 0, 471240, 136963066]$ |
\(y^2+xy=x^3-x^2+471240x+136963066\) |
16830.m1 |
16830b1 |
16830.m |
16830b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{7} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4.794749633$ |
$1$ |
|
$2$ |
$100800$ |
$1.650841$ |
$22253722294800933/109514680000000$ |
$[1, -1, 0, 17580, 2453200]$ |
\(y^2+xy=x^3-x^2+17580x+2453200\) |
16830.n1 |
16830a1 |
16830.n |
16830a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 11^{5} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3.610832213$ |
$1$ |
|
$2$ |
$57600$ |
$1.385954$ |
$-4368317413923/5475734000$ |
$[1, -1, 0, -9195, -601579]$ |
\(y^2+xy=x^3-x^2-9195x-601579\) |
16830.o1 |
16830j1 |
16830.o |
16830j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1.421093535$ |
$1$ |
|
$2$ |
$10752$ |
$0.537847$ |
$-19034163/239360$ |
$[1, -1, 0, -150, -3340]$ |
\(y^2+xy=x^3-x^2-150x-3340\) |
16830.p1 |
16830c1 |
16830.p |
16830c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 11 \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$0.988668644$ |
$1$ |
|
$7$ |
$36864$ |
$0.985190$ |
$193802978403/31790000$ |
$[1, -1, 0, -3255, 61325]$ |
\(y^2+xy=x^3-x^2-3255x+61325\) |
16830.p2 |
16830c2 |
16830.p |
16830c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1.977337288$ |
$1$ |
|
$4$ |
$73728$ |
$1.331764$ |
$1168574089437/3214062500$ |
$[1, -1, 0, 5925, 338561]$ |
\(y^2+xy=x^3-x^2+5925x+338561\) |
16830.q1 |
16830v1 |
16830.q |
16830v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$0.485991473$ |
$1$ |
|
$4$ |
$9600$ |
$0.503405$ |
$-496981290961/89760$ |
$[1, -1, 0, -1485, 22405]$ |
\(y^2+xy=x^3-x^2-1485x+22405\) |
16830.r1 |
16830h1 |
16830.r |
16830h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{9} \cdot 5 \cdot 11 \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1$ |
$1$ |
|
$0$ |
$5952$ |
$0.131338$ |
$-19683/1870$ |
$[1, -1, 0, -15, -289]$ |
\(y^2+xy=x^3-x^2-15x-289\) |
16830.s1 |
16830w1 |
16830.s |
16830w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 11^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1.332865230$ |
$1$ |
|
$2$ |
$3840$ |
$0.062315$ |
$13651919/20570$ |
$[1, -1, 0, 45, 135]$ |
\(y^2+xy=x^3-x^2+45x+135\) |
16830.t1 |
16830z3 |
16830.t |
16830z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4.665765013$ |
$4$ |
$2$ |
$2$ |
$163840$ |
$1.831997$ |
$66692696957462376289/1322972640$ |
$[1, -1, 0, -760374, -255014892]$ |
\(y^2+xy=x^3-x^2-760374x-255014892\) |
16830.t2 |
16830z4 |
16830.t |
16830z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{14} \cdot 5^{4} \cdot 11^{4} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1.166441253$ |
$1$ |
|
$6$ |
$163840$ |
$1.831997$ |
$56751044592329569/32660264340000$ |
$[1, -1, 0, -72054, 571860]$ |
\(y^2+xy=x^3-x^2-72054x+571860\) |
16830.t3 |
16830z2 |
16830.t |
16830z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{2} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2.332882506$ |
$1$ |
|
$8$ |
$81920$ |
$1.485424$ |
$16334668434139489/72511718400$ |
$[1, -1, 0, -47574, -3966732]$ |
\(y^2+xy=x^3-x^2-47574x-3966732\) |
16830.t4 |
16830z1 |
16830.t |
16830z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{20} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4.665765013$ |
$1$ |
|
$3$ |
$40960$ |
$1.138849$ |
$-506071034209/8823767040$ |
$[1, -1, 0, -1494, -123660]$ |
\(y^2+xy=x^3-x^2-1494x-123660\) |
16830.u1 |
16830ba1 |
16830.u |
16830ba |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{10} \cdot 3^{13} \cdot 5^{8} \cdot 11^{3} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1$ |
$1$ |
|
$1$ |
$1075200$ |
$2.684147$ |
$118843307222596927933249/19794099600000000$ |
$[1, -1, 0, -9218484, 10773772240]$ |
\(y^2+xy=x^3-x^2-9218484x+10773772240\) |
16830.u2 |
16830ba2 |
16830.u |
16830ba |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{5} \cdot 3^{20} \cdot 5^{4} \cdot 11^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1$ |
$1$ |
|
$0$ |
$2150400$ |
$3.030720$ |
$-87323024620536113533249/48975797371840020000$ |
$[1, -1, 0, -8318484, 12960592240]$ |
\(y^2+xy=x^3-x^2-8318484x+12960592240\) |
16830.v1 |
16830m3 |
16830.v |
16830m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4.655784893$ |
$1$ |
|
$1$ |
$48384$ |
$1.293432$ |
$152298969481827/86468800$ |
$[1, -1, 0, -30039, -1995427]$ |
\(y^2+xy=x^3-x^2-30039x-1995427\) |
16830.v2 |
16830m4 |
16830.v |
16830m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$9.311569786$ |
$1$ |
|
$0$ |
$96768$ |
$1.640007$ |
$-84044939142627/116825833960$ |
$[1, -1, 0, -24639, -2739547]$ |
\(y^2+xy=x^3-x^2-24639x-2739547\) |
16830.v3 |
16830m1 |
16830.v |
16830m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1.551928297$ |
$1$ |
|
$15$ |
$16128$ |
$0.744127$ |
$6462919457883/1414187500$ |
$[1, -1, 0, -1164, 12348]$ |
\(y^2+xy=x^3-x^2-1164x+12348\) |
16830.v4 |
16830m2 |
16830.v |
16830m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2 \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$3.103856595$ |
$1$ |
|
$8$ |
$32256$ |
$1.090700$ |
$70819203762117/127995282250$ |
$[1, -1, 0, 2586, 73098]$ |
\(y^2+xy=x^3-x^2+2586x+73098\) |
16830.w1 |
16830o4 |
16830.w |
16830o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1$ |
$9$ |
$3$ |
$0$ |
$967680$ |
$2.736706$ |
$785681552361835673854227/2604236800$ |
$[1, -1, 0, -51904464, -143918301952]$ |
\(y^2+xy=x^3-x^2-51904464x-143918301952\) |
16830.w2 |
16830o3 |
16830.w |
16830o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{30} \cdot 3^{9} \cdot 5 \cdot 11^{2} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1$ |
$9$ |
$3$ |
$1$ |
$483840$ |
$2.390133$ |
$-191808834096148160787/11043434659840$ |
$[1, -1, 0, -3243984, -2248180480]$ |
\(y^2+xy=x^3-x^2-3243984x-2248180480\) |
16830.w3 |
16830o2 |
16830.w |
16830o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{6} \cdot 11^{3} \cdot 17^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$4$ |
$322560$ |
$2.187401$ |
$1089365384367428097483/16063552169500000$ |
$[1, -1, 0, -643089, -195791427]$ |
\(y^2+xy=x^3-x^2-643089x-195791427\) |
16830.w4 |
16830o1 |
16830.w |
16830o |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{3} \cdot 11^{6} \cdot 17^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1$ |
$1$ |
|
$5$ |
$161280$ |
$1.840826$ |
$-305460292990923/1114070936704000$ |
$[1, -1, 0, -4209, -8344035]$ |
\(y^2+xy=x^3-x^2-4209x-8344035\) |
16830.x1 |
16830bh4 |
16830.x |
16830bh |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{6} \cdot 11^{6} \cdot 17^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1.500519471$ |
$1$ |
|
$14$ |
$663552$ |
$2.526958$ |
$628200507126935410849/88124751829125000$ |
$[1, -1, 0, -1605834, 682139340]$ |
\(y^2+xy=x^3-x^2-1605834x+682139340\) |