| 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 |
| 10830.a1 |
10830a2 |
10830.a |
10830a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$6.500650622$ |
$1$ |
|
$2$ |
$389120$ |
$2.683609$ |
$276288773643091/41990400$ |
$1.02053$ |
$6.43186$ |
$[1, 1, 0, -9306948, -10930905648]$ |
\(y^2+xy=x^3+x^2-9306948x-10930905648\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[(51816, 11748252)]$ |
| 10830.a2 |
10830a1 |
10830.a |
10830a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 5 \cdot 19^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$13.00130124$ |
$1$ |
|
$1$ |
$194560$ |
$2.337036$ |
$-50284268371/26542080$ |
$0.98280$ |
$5.57467$ |
$[1, 1, 0, -527428, -204088112]$ |
\(y^2+xy=x^3+x^2-527428x-204088112\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(6852072/23, 17829310484/23)]$ |
| 10830.b1 |
10830c2 |
10830.b |
10830c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2 \cdot 3^{2} \cdot 5^{9} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$738720$ |
$2.809967$ |
$-27692833539889/35156250$ |
$1.02575$ |
$6.50143$ |
$[1, 1, 0, -11536123, 15092997727]$ |
\(y^2+xy=x^3+x^2-11536123x+15092997727\) |
3.4.0.a.1, 40.2.0.a.1, 57.8.0-3.a.1.2, 120.8.0.?, 2280.16.0.? |
$[ ]$ |
| 10830.b2 |
10830c1 |
10830.b |
10830c |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 19^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$246240$ |
$2.260662$ |
$129205871/729000$ |
$0.99633$ |
$5.41334$ |
$[1, 1, 0, 192767, 96438973]$ |
\(y^2+xy=x^3+x^2+192767x+96438973\) |
3.4.0.a.1, 40.2.0.a.1, 57.8.0-3.a.1.1, 120.8.0.?, 2280.16.0.? |
$[ ]$ |
| 10830.c1 |
10830b1 |
10830.c |
10830b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{22} \cdot 3 \cdot 5^{2} \cdot 19^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15840$ |
$0.951037$ |
$-41081844659329/314572800$ |
$0.99577$ |
$4.00951$ |
$[1, 1, 0, -5118, -144012]$ |
\(y^2+xy=x^3+x^2-5118x-144012\) |
6.2.0.a.1 |
$[ ]$ |
| 10830.d1 |
10830d2 |
10830.d |
10830d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$403200$ |
$2.440289$ |
$1403607530712116449/39475350$ |
$1.20544$ |
$6.39954$ |
$[1, 1, 0, -8420693, 9401731647]$ |
\(y^2+xy=x^3+x^2-8420693x+9401731647\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[ ]$ |
| 10830.d2 |
10830d1 |
10830.d |
10830d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{14} \cdot 5 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$201600$ |
$2.093716$ |
$-341370886042369/1817528220$ |
$1.07626$ |
$5.50478$ |
$[1, 1, 0, -525623, 147130593]$ |
\(y^2+xy=x^3+x^2-525623x+147130593\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[ ]$ |
| 10830.e1 |
10830e4 |
10830.e |
10830e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{18} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6220800$ |
$3.738579$ |
$10993009831928446009969/3767761230468750000$ |
$1.05315$ |
$7.36465$ |
$[1, 1, 0, -167226398, -531563735292]$ |
\(y^2+xy=x^3+x^2-167226398x-531563735292\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 57.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
| 10830.e2 |
10830e2 |
10830.e |
10830e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2073600$ |
$3.189274$ |
$7903870428425797297009/886464000000$ |
$1.04255$ |
$7.32914$ |
$[1, 1, 0, -149811758, -705838483788]$ |
\(y^2+xy=x^3+x^2-149811758x-705838483788\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 57.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
| 10830.e3 |
10830e1 |
10830.e |
10830e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{3} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1036800$ |
$2.842701$ |
$-1914980734749238129/20440940544000$ |
$1.01640$ |
$6.43495$ |
$[1, 1, 0, -9339438, -11090483532]$ |
\(y^2+xy=x^3+x^2-9339438x-11090483532\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 30.24.0.b.1, $\ldots$ |
$[ ]$ |
| 10830.e4 |
10830e3 |
10830.e |
10830e |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3 \cdot 5^{9} \cdot 19^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1140$ |
$96$ |
$1$ |
$1$ |
$16$ |
$2$ |
$1$ |
$3110400$ |
$3.392006$ |
$69096190760262356111/70568821500000000$ |
$1.04449$ |
$6.81896$ |
$[1, 1, 0, 30861522, -57697813068]$ |
\(y^2+xy=x^3+x^2+30861522x-57697813068\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 30.24.0.b.1, $\ldots$ |
$[ ]$ |
| 10830.f1 |
10830f1 |
10830.f |
10830f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{13} \cdot 3^{4} \cdot 5^{3} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$426816$ |
$2.305061$ |
$-9082538350921/82944000$ |
$0.98732$ |
$5.74899$ |
$[1, 1, 0, -1117302, -458611884]$ |
\(y^2+xy=x^3+x^2-1117302x-458611884\) |
40.2.0.a.1 |
$[ ]$ |
| 10830.g1 |
10830g4 |
10830.g |
10830g |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{11} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1140$ |
$288$ |
$5$ |
$7.596444863$ |
$1$ |
|
$0$ |
$8640000$ |
$4.081047$ |
$16300610738133468173382620881/2228489100$ |
$1.07409$ |
$8.89418$ |
$[1, 1, 0, -19069263652, 1013550971091124]$ |
\(y^2+xy=x^3+x^2-19069263652x+1013550971091124\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.3, 60.144.1-60.cj.1.9, $\ldots$ |
$[(3906520/7, -13983614/7)]$ |
| 10830.g2 |
10830g3 |
10830.g |
10830g |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5 \cdot 19^{16} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.2 |
2B, 5B.4.2 |
$1140$ |
$288$ |
$5$ |
$15.19288972$ |
$1$ |
|
$1$ |
$4320000$ |
$3.734474$ |
$-3979640234041473454886161/1471455901872240$ |
$1.05780$ |
$7.99884$ |
$[1, 1, 0, -1191828872, 15836364428016]$ |
\(y^2+xy=x^3+x^2-1191828872x+15836364428016\) |
2.3.0.a.1, 5.12.0.a.2, 10.36.0.a.1, 20.72.0-10.a.1.5, 30.72.1.i.2, $\ldots$ |
$[(118441240/77, 593692548/77)]$ |
| 10830.g3 |
10830g2 |
10830.g |
10830g |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{10} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1140$ |
$288$ |
$5$ |
$1.519288972$ |
$1$ |
|
$4$ |
$1728000$ |
$3.276329$ |
$75224183150104868881/11219310000000000$ |
$1.03228$ |
$6.82811$ |
$[1, 1, 0, -31748152, 59307836224]$ |
\(y^2+xy=x^3+x^2-31748152x+59307836224\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.5, 60.144.1-60.cj.2.9, $\ldots$ |
$[(688, 194056)]$ |
| 10830.g4 |
10830g1 |
10830.g |
10830g |
$4$ |
$10$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 5^{5} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
2.3.0.1, 5.12.0.1 |
2B, 5B.4.1 |
$1140$ |
$288$ |
$5$ |
$3.038577945$ |
$1$ |
|
$3$ |
$864000$ |
$2.929756$ |
$89962967236397039/287450726400000$ |
$1.02813$ |
$6.26622$ |
$[1, 1, 0, 3369928, 5064449856]$ |
\(y^2+xy=x^3+x^2+3369928x+5064449856\) |
2.3.0.a.1, 5.12.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.4, 30.72.1.i.1, $\ldots$ |
$[(2992, 203304)]$ |
| 10830.h1 |
10830h3 |
10830.h |
10830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$11.26957635$ |
$4$ |
$2$ |
$0$ |
$138240$ |
$1.836735$ |
$3107086841064961/570$ |
$0.98891$ |
$5.74151$ |
$[1, 1, 0, -1097447, -442967949]$ |
\(y^2+xy=x^3+x^2-1097447x-442967949\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.y.1, 120.24.0.?, $\ldots$ |
$[(56611/6, 8796047/6)]$ |
| 10830.h2 |
10830h4 |
10830.h |
10830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{4} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.817394087$ |
$1$ |
|
$0$ |
$138240$ |
$1.836735$ |
$1177918188481/488703750$ |
$0.96253$ |
$4.89355$ |
$[1, 1, 0, -79427, -4617201]$ |
\(y^2+xy=x^3+x^2-79427x-4617201\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0-4.c.1.5, 76.12.0.?, $\ldots$ |
$[(-293/2, 7513/2)]$ |
| 10830.h3 |
10830h2 |
10830.h |
10830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2280$ |
$48$ |
$0$ |
$5.634788175$ |
$1$ |
|
$4$ |
$69120$ |
$1.490162$ |
$758800078561/324900$ |
$0.93871$ |
$4.84621$ |
$[1, 1, 0, -68597, -6941319]$ |
\(y^2+xy=x^3+x^2-68597x-6941319\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0.b.1, 76.12.0.?, 120.24.0.?, $\ldots$ |
$[(1382, 49709)]$ |
| 10830.h4 |
10830h1 |
10830.h |
10830h |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$2.817394087$ |
$1$ |
|
$1$ |
$34560$ |
$1.143587$ |
$-111284641/123120$ |
$0.87799$ |
$4.01105$ |
$[1, 1, 0, -3617, -144411]$ |
\(y^2+xy=x^3+x^2-3617x-144411\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.y.1, 76.12.0.?, $\ldots$ |
$[(1835/2, 76141/2)]$ |
| 10830.i1 |
10830k2 |
10830.i |
10830k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.324434$ |
$306331959547531/900000000$ |
$1.02107$ |
$4.54130$ |
$[1, 0, 1, -26684, -1675654]$ |
\(y^2+xy+y=x^3-26684x-1675654\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[ ]$ |
| 10830.i2 |
10830k1 |
10830.i |
10830k |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{16} \cdot 3 \cdot 5^{4} \cdot 19^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$0.977861$ |
$212883113611/122880000$ |
$1.10396$ |
$3.75856$ |
$[1, 0, 1, -2364, -2438]$ |
\(y^2+xy+y=x^3-2364x-2438\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[ ]$ |
| 10830.j1 |
10830i1 |
10830.j |
10830i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 19^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$49248$ |
$1.345495$ |
$-14317849/2700$ |
$0.87123$ |
$4.33953$ |
$[1, 0, 1, -13004, 656102]$ |
\(y^2+xy+y=x^3-13004x+656102\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[ ]$ |
| 10830.j2 |
10830i2 |
10830.j |
10830i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 19^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$147744$ |
$1.894802$ |
$4728305591/3000000$ |
$0.98288$ |
$4.93347$ |
$[1, 0, 1, 89881, -3212374]$ |
\(y^2+xy+y=x^3+89881x-3212374\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1 |
$[ ]$ |
| 10830.k1 |
10830l3 |
10830.k |
10830l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$8.594257060$ |
$1$ |
|
$0$ |
$92160$ |
$1.835136$ |
$26487576322129/44531250$ |
$0.96284$ |
$5.22863$ |
$[1, 0, 1, -224189, 40779086]$ |
\(y^2+xy+y=x^3-224189x+40779086\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$ |
$[(6076/3, 370066/3)]$ |
| 10830.k2 |
10830l2 |
10830.k |
10830l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 19^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$456$ |
$48$ |
$0$ |
$4.297128530$ |
$1$ |
|
$4$ |
$46080$ |
$1.488564$ |
$14688124849/8122500$ |
$0.96350$ |
$4.42159$ |
$[1, 0, 1, -18419, 201242]$ |
\(y^2+xy+y=x^3-18419x+201242\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 76.12.0.?, $\ldots$ |
$[(-87, 1114)]$ |
| 10830.k3 |
10830l1 |
10830.k |
10830l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 19^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$456$ |
$48$ |
$0$ |
$2.148564265$ |
$1$ |
|
$3$ |
$23040$ |
$1.141991$ |
$3301293169/22800$ |
$0.89080$ |
$4.26091$ |
$[1, 0, 1, -11199, -454334]$ |
\(y^2+xy+y=x^3-11199x-454334\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$ |
$[(619, 14852)]$ |
| 10830.k4 |
10830l4 |
10830.k |
10830l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2 \cdot 3^{4} \cdot 5^{2} \cdot 19^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$456$ |
$48$ |
$0$ |
$2.148564265$ |
$1$ |
|
$2$ |
$92160$ |
$1.835136$ |
$871257511151/527800050$ |
$0.99326$ |
$4.86108$ |
$[1, 0, 1, 71831, 1609142]$ |
\(y^2+xy+y=x^3+71831x+1609142\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 76.12.0.?, $\ldots$ |
$[(676, 18614)]$ |
| 10830.l1 |
10830j2 |
10830.l |
10830j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$145920$ |
$2.059219$ |
$781484460931/900$ |
$0.98883$ |
$5.80021$ |
$[1, 0, 1, -1316214, 581105836]$ |
\(y^2+xy+y=x^3-1316214x+581105836\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 380.12.0.? |
$[ ]$ |
| 10830.l2 |
10830j1 |
10830.l |
10830j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5 \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$72960$ |
$1.712645$ |
$-186169411/6480$ |
$0.91957$ |
$4.90852$ |
$[1, 0, 1, -81594, 9229852]$ |
\(y^2+xy+y=x^3-81594x+9229852\) |
2.3.0.a.1, 20.6.0.e.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[ ]$ |
| 10830.m1 |
10830m1 |
10830.m |
10830m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{5} \cdot 3^{2} \cdot 5 \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.032981354$ |
$1$ |
|
$4$ |
$1440$ |
$-0.219962$ |
$463391/1440$ |
$0.86766$ |
$2.19696$ |
$[1, 0, 1, 11, 32]$ |
\(y^2+xy+y=x^3+11x+32\) |
40.2.0.a.1 |
$[(-2, 2)]$ |
| 10830.n1 |
10830o2 |
10830.n |
10830o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.175793$ |
$2992209121/54150$ |
$0.89013$ |
$4.25033$ |
$[1, 0, 1, -10838, 426506]$ |
\(y^2+xy+y=x^3-10838x+426506\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[ ]$ |
| 10830.n2 |
10830o1 |
10830.n |
10830o |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 5 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17280$ |
$0.829219$ |
$-1/3420$ |
$1.10256$ |
$3.58003$ |
$[1, 0, 1, -8, 19298]$ |
\(y^2+xy+y=x^3-8x+19298\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[ ]$ |
| 10830.o1 |
10830n2 |
10830.o |
10830n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.197400019$ |
$1$ |
|
$14$ |
$7680$ |
$0.637351$ |
$4904335099/1822500$ |
$0.97209$ |
$3.35269$ |
$[1, 0, 1, -673, -4072]$ |
\(y^2+xy+y=x^3-673x-4072\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[(-11, 50)]$ |
| 10830.o2 |
10830n1 |
10830.o |
10830n |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$0.394800038$ |
$1$ |
|
$11$ |
$3840$ |
$0.290778$ |
$403583419/10800$ |
$0.92758$ |
$3.08385$ |
$[1, 0, 1, -293, 1856]$ |
\(y^2+xy+y=x^3-293x+1856\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[(15, 22)]$ |
| 10830.p1 |
10830p3 |
10830.p |
10830p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{5} \cdot 5 \cdot 19^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1382400$ |
$2.959709$ |
$13209596798923694545921/92340$ |
$1.04393$ |
$7.38442$ |
$[1, 0, 1, -177785288, -912428607022]$ |
\(y^2+xy+y=x^3-177785288x-912428607022\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 152.24.0.?, 570.6.0.?, $\ldots$ |
$[ ]$ |
| 10830.p2 |
10830p4 |
10830.p |
10830p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{20} \cdot 5^{4} \cdot 19^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1382400$ |
$2.959709$ |
$3345930611358906241/165622259047500$ |
$1.08127$ |
$6.49305$ |
$[1, 0, 1, -11248768, -13887315694]$ |
\(y^2+xy+y=x^3-11248768x-13887315694\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 76.24.0.?, 120.24.0.?, 2280.48.0.? |
$[ ]$ |
| 10830.p3 |
10830p2 |
10830.p |
10830p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 19^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$691200$ |
$2.613132$ |
$3225005357698077121/8526675600$ |
$1.01809$ |
$6.48909$ |
$[1, 0, 1, -11111588, -14257372462]$ |
\(y^2+xy+y=x^3-11111588x-14257372462\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 60.24.0-60.b.1.6, 76.24.0.?, 1140.48.0.? |
$[ ]$ |
| 10830.p4 |
10830p1 |
10830.p |
10830p |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5 \cdot 19^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2280$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$345600$ |
$2.266560$ |
$-758575480593601/40535043840$ |
$0.98308$ |
$5.59925$ |
$[1, 0, 1, -685908, -228577454]$ |
\(y^2+xy+y=x^3-685908x-228577454\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[ ]$ |
| 10830.q1 |
10830v8 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$2.908112353$ |
$1$ |
|
$2$ |
$165888$ |
$2.036385$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.92305$ |
$[1, 1, 1, -1925401, 1027521599]$ |
\(y^2+xy+y=x^3+x^2-1925401x+1027521599\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(821, 588)]$ |
| 10830.q2 |
10830v7 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{12} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$2.908112353$ |
$1$ |
|
$2$ |
$165888$ |
$2.036385$ |
$10316097499609/5859375000$ |
$1.13600$ |
$5.12712$ |
$[1, 1, 1, -163721, 3402143]$ |
\(y^2+xy+y=x^3+x^2-163721x+3402143\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[(397, 884)]$ |
| 10830.q3 |
10830v6 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2280$ |
$384$ |
$5$ |
$1.454056176$ |
$1$ |
|
$10$ |
$82944$ |
$1.689812$ |
$4102915888729/9000000$ |
$1.05221$ |
$5.02788$ |
$[1, 1, 1, -120401, 15999599]$ |
\(y^2+xy+y=x^3+x^2-120401x+15999599\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[(99, 2200)]$ |
| 10830.q4 |
10830v4 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{4} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$8.724337059$ |
$1$ |
|
$0$ |
$55296$ |
$1.487080$ |
$2656166199049/33750$ |
$1.05017$ |
$4.98107$ |
$[1, 1, 1, -104156, -12981481]$ |
\(y^2+xy+y=x^3+x^2-104156x-12981481\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(80263/14, 9424213/14)]$ |
| 10830.q5 |
10830v5 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$8.724337059$ |
$1$ |
|
$0$ |
$55296$ |
$1.487080$ |
$35578826569/5314410$ |
$1.03393$ |
$4.51683$ |
$[1, 1, 1, -24736, 1279463]$ |
\(y^2+xy+y=x^3+x^2-24736x+1279463\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(108583/18, 31370491/18)]$ |
| 10830.q6 |
10830v2 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$2280$ |
$384$ |
$5$ |
$4.362168529$ |
$1$ |
|
$2$ |
$27648$ |
$1.140505$ |
$702595369/72900$ |
$1.00457$ |
$4.09436$ |
$[1, 1, 1, -6686, -193417]$ |
\(y^2+xy+y=x^3+x^2-6686x-193417\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[(1303/2, 44179/2)]$ |
| 10830.q7 |
10830v3 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{12} \cdot 3 \cdot 5^{3} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$0.727028088$ |
$1$ |
|
$7$ |
$41472$ |
$1.343239$ |
$-273359449/1536000$ |
$1.04920$ |
$4.24798$ |
$[1, 1, 1, -4881, 427503]$ |
\(y^2+xy+y=x^3+x^2-4881x+427503\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[(-21, 732)]$ |
| 10830.q8 |
10830v1 |
10830.q |
10830v |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 5 \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$2280$ |
$384$ |
$5$ |
$2.181084264$ |
$1$ |
|
$3$ |
$13824$ |
$0.793932$ |
$357911/2160$ |
$0.99689$ |
$3.51971$ |
$[1, 1, 1, 534, -14361]$ |
\(y^2+xy+y=x^3+x^2+534x-14361\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[(321, 5615)]$ |
| 10830.r1 |
10830s2 |
10830.r |
10830s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{8} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1167360$ |
$2.796654$ |
$306331959547531/900000000$ |
$1.02107$ |
$6.44297$ |
$[1, 1, 1, -9632751, 11474043573]$ |
\(y^2+xy+y=x^3+x^2-9632751x+11474043573\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 228.12.0.? |
$[ ]$ |
| 10830.r2 |
10830s1 |
10830.r |
10830s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( 2^{16} \cdot 3 \cdot 5^{4} \cdot 19^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$583680$ |
$2.450081$ |
$212883113611/122880000$ |
$1.10396$ |
$5.66023$ |
$[1, 1, 1, -853231, 15014069]$ |
\(y^2+xy+y=x^3+x^2-853231x+15014069\) |
2.3.0.a.1, 12.6.0.g.1, 76.6.0.?, 114.6.0.?, 228.12.0.? |
$[ ]$ |
| 10830.s1 |
10830t1 |
10830.s |
10830t |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 19^{2} \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{2} \cdot 19^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$114$ |
$16$ |
$0$ |
$1.412895790$ |
$1$ |
|
$2$ |
$2592$ |
$-0.126724$ |
$-14317849/2700$ |
$0.87123$ |
$2.43787$ |
$[1, 1, 1, -36, -111]$ |
\(y^2+xy+y=x^3+x^2-36x-111\) |
3.4.0.a.1, 6.8.0.b.1, 57.8.0-3.a.1.1, 114.16.0.? |
$[(9, 15)]$ |
