| 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 |
| 31200.a1 |
31200bq4 |
31200.a |
31200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$520$ |
$48$ |
$0$ |
$5.413205463$ |
$1$ |
|
$1$ |
$73728$ |
$1.264465$ |
$428320044872/73125$ |
$0.93037$ |
$4.12421$ |
$[0, -1, 0, -31408, -2131688]$ |
\(y^2=x^3-x^2-31408x-2131688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 40.24.0-40.bb.1.13, 104.24.0.?, $\ldots$ |
$[(-911/3, 316/3)]$ |
| 31200.a2 |
31200bq3 |
31200.a |
31200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{7} \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1.353301365$ |
$1$ |
|
$11$ |
$73728$ |
$1.264465$ |
$33324076232/1285245$ |
$0.90816$ |
$3.87745$ |
$[0, -1, 0, -13408, 581812]$ |
\(y^2=x^3-x^2-13408x+581812\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 40.24.0-40.v.1.3, 104.24.0.?, 520.48.0.? |
$[(52, 150)]$ |
| 31200.a3 |
31200bq1 |
31200.a |
31200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$2.706602731$ |
$1$ |
|
$7$ |
$36864$ |
$0.917892$ |
$1111934656/342225$ |
$0.92141$ |
$3.34792$ |
$[0, -1, 0, -2158, -25688]$ |
\(y^2=x^3-x^2-2158x-25688\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 40.24.0-40.a.1.1, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(-29, 108)]$ |
| 31200.a4 |
31200bq2 |
31200.a |
31200bq |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1.353301365$ |
$1$ |
|
$5$ |
$73728$ |
$1.264465$ |
$367061696/426465$ |
$0.92633$ |
$3.64345$ |
$[0, -1, 0, 5967, -180063]$ |
\(y^2=x^3-x^2+5967x-180063\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 40.24.0-40.bb.1.10, 104.24.0.?, 260.24.0.?, $\ldots$ |
$[(37, 300)]$ |
| 31200.b1 |
31200h1 |
31200.b |
31200h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{4} \cdot 5^{6} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$2.321616519$ |
$1$ |
|
$13$ |
$16384$ |
$0.446421$ |
$5088448/1053$ |
$0.87842$ |
$2.82736$ |
$[0, -1, 0, -358, 2212]$ |
\(y^2=x^3-x^2-358x+2212\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 104.24.0.?, $\ldots$ |
$[(16, 18), (-2, 54)]$ |
| 31200.b2 |
31200h2 |
31200.b |
31200h |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{6} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$0.580404129$ |
$1$ |
|
$31$ |
$32768$ |
$0.792994$ |
$778688/1521$ |
$0.89008$ |
$3.13146$ |
$[0, -1, 0, 767, 12337]$ |
\(y^2=x^3-x^2+767x+12337\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 104.24.0.?, 120.12.0.?, $\ldots$ |
$[(37, 300), (-3, 100)]$ |
| 31200.c1 |
31200bp1 |
31200.c |
31200bp |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$520$ |
$48$ |
$0$ |
$2.100984389$ |
$1$ |
|
$3$ |
$98304$ |
$1.496515$ |
$42246001231552/14414517$ |
$1.03313$ |
$4.36696$ |
$[0, -1, 0, -72558, -7496388]$ |
\(y^2=x^3-x^2-72558x-7496388\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 40.12.0-4.b.1.2, 52.12.0.e.1, $\ldots$ |
$[(-157, 26)]$ |
| 31200.c2 |
31200bp2 |
31200.c |
31200bp |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{6} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$520$ |
$48$ |
$0$ |
$1.050492194$ |
$1$ |
|
$7$ |
$196608$ |
$1.843088$ |
$-420526439488/390971529$ |
$1.02537$ |
$4.41597$ |
$[0, -1, 0, -62433, -9673263]$ |
\(y^2=x^3-x^2-62433x-9673263\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 52.12.0.d.1, 104.24.0.?, $\ldots$ |
$[(567, 11700)]$ |
| 31200.d1 |
31200a2 |
31200.d |
31200a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.899400945$ |
$1$ |
|
$9$ |
$18432$ |
$0.709405$ |
$1000000/507$ |
$1.15454$ |
$3.07203$ |
$[0, -1, 0, -833, 3537]$ |
\(y^2=x^3-x^2-833x+3537\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(1, 52)]$ |
| 31200.d2 |
31200a1 |
31200.d |
31200a |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.798801891$ |
$1$ |
|
$5$ |
$9216$ |
$0.362831$ |
$10648000/117$ |
$0.92625$ |
$2.89871$ |
$[0, -1, 0, -458, -3588]$ |
\(y^2=x^3-x^2-458x-3588\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[(-12, 6)]$ |
| 31200.e1 |
31200g2 |
31200.e |
31200g |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{11} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$2.044434$ |
$7916055336451592/385003125$ |
$0.99391$ |
$5.07361$ |
$[0, -1, 0, -830408, -290974188]$ |
\(y^2=x^3-x^2-830408x-290974188\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 31200.e2 |
31200g1 |
31200.e |
31200g |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{16} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$138240$ |
$1.697859$ |
$-13137573612736/3427734375$ |
$0.99802$ |
$4.29005$ |
$[0, -1, 0, -49158, -5036688]$ |
\(y^2=x^3-x^2-49158x-5036688\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 31200.f1 |
31200f1 |
31200.f |
31200f |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{17} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$709632$ |
$2.510883$ |
$-22400965661211136/321826171875$ |
$1.00966$ |
$5.37745$ |
$[0, -1, 0, -2349133, -1402142363]$ |
\(y^2=x^3-x^2-2349133x-1402142363\) |
390.2.0.? |
$[]$ |
| 31200.g1 |
31200bm1 |
31200.g |
31200bm |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{11} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.326826836$ |
$1$ |
|
$2$ |
$322560$ |
$2.111015$ |
$-2435092894982656/88846875$ |
$0.99804$ |
$5.16064$ |
$[0, -1, 0, -1121133, 457301637]$ |
\(y^2=x^3-x^2-1121133x+457301637\) |
390.2.0.? |
$[(427, 7500)]$ |
| 31200.h1 |
31200bl1 |
31200.h |
31200bl |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.884181068$ |
$1$ |
|
$2$ |
$27648$ |
$0.895130$ |
$-53157376/1755$ |
$0.82150$ |
$3.46135$ |
$[0, -1, 0, -3133, -68363]$ |
\(y^2=x^3-x^2-3133x-68363\) |
390.2.0.? |
$[(107, 900)]$ |
| 31200.i1 |
31200be4 |
31200.i |
31200be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{7} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$3.296001995$ |
$1$ |
|
$13$ |
$49152$ |
$1.090057$ |
$72929847752/5265$ |
$0.91451$ |
$3.95313$ |
$[0, -1, 0, -17408, 889812]$ |
\(y^2=x^3-x^2-17408x+889812\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[(52, 350), (76, 2)]$ |
| 31200.i2 |
31200be3 |
31200.i |
31200be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{10} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$3.296001995$ |
$1$ |
|
$11$ |
$49152$ |
$1.090057$ |
$379503424/24375$ |
$0.92697$ |
$3.64594$ |
$[0, -1, 0, -6033, -168063]$ |
\(y^2=x^3-x^2-6033x-168063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[(-43, 100), (-37, 56)]$ |
| 31200.i3 |
31200be1 |
31200.i |
31200be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$3.296001995$ |
$1$ |
|
$21$ |
$24576$ |
$0.743484$ |
$171879616/38025$ |
$0.92625$ |
$3.16750$ |
$[0, -1, 0, -1158, 12312]$ |
\(y^2=x^3-x^2-1158x+12312\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[(2, 100), (52, 300)]$ |
| 31200.i4 |
31200be2 |
31200.i |
31200be |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3 \cdot 5^{7} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$13.18400798$ |
$1$ |
|
$5$ |
$49152$ |
$1.090057$ |
$240641848/428415$ |
$0.88696$ |
$3.47157$ |
$[0, -1, 0, 2592, 72312]$ |
\(y^2=x^3-x^2+2592x+72312\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(77, 850), (133/2, 3525/2)]$ |
| 31200.j1 |
31200bd4 |
31200.j |
31200bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$98304$ |
$1.317436$ |
$11339065490696/351$ |
$1.01108$ |
$4.44081$ |
$[0, -1, 0, -93608, 11054712]$ |
\(y^2=x^3-x^2-93608x+11054712\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 40.12.0-4.c.1.5, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 31200.j2 |
31200bd3 |
31200.j |
31200bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.317436$ |
$1360251712/771147$ |
$1.06942$ |
$3.76930$ |
$[0, -1, 0, -9233, -45663]$ |
\(y^2=x^3-x^2-9233x-45663\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 20.12.0-4.c.1.1, 60.24.0-12.h.1.1, $\ldots$ |
$[]$ |
| 31200.j3 |
31200bd1 |
31200.j |
31200bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$0.970861$ |
$22235451328/123201$ |
$1.06662$ |
$3.63740$ |
$[0, -1, 0, -5858, 173712]$ |
\(y^2=x^3-x^2-5858x+173712\) |
2.6.0.a.1, 12.12.0.a.1, 20.12.0-2.a.1.1, 60.24.0-12.a.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
| 31200.j4 |
31200bd2 |
31200.j |
31200bd |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{12} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.317436$ |
$-245314376/6908733$ |
$1.10902$ |
$3.78021$ |
$[0, -1, 0, -2608, 362212]$ |
\(y^2=x^3-x^2-2608x+362212\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.ba.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 31200.k1 |
31200d4 |
31200.k |
31200d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3 \cdot 5^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$36864$ |
$1.121922$ |
$30488290624/195$ |
$0.91139$ |
$4.06980$ |
$[0, -1, 0, -26033, -1608063]$ |
\(y^2=x^3-x^2-26033x-1608063\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0-4.c.1.4, 104.12.0.?, $\ldots$ |
$[]$ |
| 31200.k2 |
31200d3 |
31200.k |
31200d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3 \cdot 5^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.121922$ |
$2186875592/428415$ |
$0.88510$ |
$3.61423$ |
$[0, -1, 0, -5408, 126312]$ |
\(y^2=x^3-x^2-5408x+126312\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
| 31200.k3 |
31200d1 |
31200.k |
31200d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$18432$ |
$0.775348$ |
$504358336/38025$ |
$0.86133$ |
$3.27153$ |
$[0, -1, 0, -1658, -23688]$ |
\(y^2=x^3-x^2-1658x-23688\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0-2.a.1.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 31200.k4 |
31200d2 |
31200.k |
31200d |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{4} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$1.121922$ |
$55742968/658125$ |
$0.91219$ |
$3.54619$ |
$[0, -1, 0, 1592, -108188]$ |
\(y^2=x^3-x^2+1592x-108188\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0-4.c.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 31200.l1 |
31200bc4 |
31200.l |
31200bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{7} \cdot 5^{10} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$5160960$ |
$3.375431$ |
$454357982636417669333824/3003024375$ |
$1.16532$ |
$7.00100$ |
$[0, -1, 0, -640646033, -6241090296063]$ |
\(y^2=x^3-x^2-640646033x-6241090296063\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0-4.c.1.2, 120.24.0.?, $\ldots$ |
$[]$ |
| 31200.l2 |
31200bc3 |
31200.l |
31200bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{28} \cdot 5^{7} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$5160960$ |
$3.375431$ |
$1082883335268084577352/251301565117746585$ |
$1.04547$ |
$6.21645$ |
$[0, -1, 0, -42787408, -83359842188]$ |
\(y^2=x^3-x^2-42787408x-83359842188\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
| 31200.l3 |
31200bc1 |
31200.l |
31200bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$3$ |
$2580480$ |
$3.028858$ |
$7099759044484031233216/577161945398025$ |
$1.10800$ |
$6.19722$ |
$[0, -1, 0, -40041158, -97503029688]$ |
\(y^2=x^3-x^2-40041158x-97503029688\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.1, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
| 31200.l4 |
31200bc2 |
31200.l |
31200bc |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{7} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$64$ |
$2$ |
$1$ |
$5160960$ |
$3.375431$ |
$-717825640026599866952/254764560814329735$ |
$1.04338$ |
$6.22293$ |
$[0, -1, 0, -37307408, -111390479688]$ |
\(y^2=x^3-x^2-37307408x-111390479688\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[]$ |
| 31200.m1 |
31200bk1 |
31200.m |
31200bk |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.390844233$ |
$1$ |
|
$6$ |
$6144$ |
$0.044900$ |
$109760/117$ |
$0.74223$ |
$2.23640$ |
$[0, -1, 0, 47, 97]$ |
\(y^2=x^3-x^2+47x+97\) |
52.2.0.a.1 |
$[(1, 12)]$ |
| 31200.n1 |
31200e1 |
31200.n |
31200e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.351072$ |
$153990656/1279395$ |
$0.92262$ |
$3.80925$ |
$[0, -1, 0, 4467, 418437]$ |
\(y^2=x^3-x^2+4467x+418437\) |
390.2.0.? |
$[]$ |
| 31200.o1 |
31200bj1 |
31200.o |
31200bj |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3 \cdot 5^{7} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.550390431$ |
$1$ |
|
$4$ |
$107520$ |
$1.485275$ |
$-4283098624/5569395$ |
$0.91949$ |
$3.99395$ |
$[0, -1, 0, -13533, 1096437]$ |
\(y^2=x^3-x^2-13533x+1096437\) |
390.2.0.? |
$[(-73, 1300)]$ |
| 31200.p1 |
31200br1 |
31200.p |
31200br |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{2} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.407494165$ |
$1$ |
|
$6$ |
$30720$ |
$0.849619$ |
$109760/117$ |
$0.74223$ |
$3.16958$ |
$[0, -1, 0, 1167, -14463]$ |
\(y^2=x^3-x^2+1167x-14463\) |
52.2.0.a.1 |
$[(17, 100)]$ |
| 31200.q1 |
31200bf2 |
31200.q |
31200bf |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.303450$ |
$497169541448/190125$ |
$0.93164$ |
$4.13862$ |
$[0, -1, 0, -33008, -2296488]$ |
\(y^2=x^3-x^2-33008x-2296488\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 31200.q2 |
31200bf1 |
31200.q |
31200bf |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3 \cdot 5^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.956876$ |
$-601211584/609375$ |
$0.92430$ |
$3.38631$ |
$[0, -1, 0, -1758, -46488]$ |
\(y^2=x^3-x^2-1758x-46488\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 31200.r1 |
31200bg2 |
31200.r |
31200bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{12} \cdot 3^{5} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$92160$ |
$1.321531$ |
$61162984000/41067$ |
$1.09900$ |
$4.13708$ |
$[0, -1, 0, -32833, 2299537]$ |
\(y^2=x^3-x^2-32833x+2299537\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[]$ |
| 31200.r2 |
31200bg1 |
31200.r |
31200bg |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$0.974957$ |
$1643032000/767637$ |
$1.13905$ |
$3.38565$ |
$[0, -1, 0, -2458, 21412]$ |
\(y^2=x^3-x^2-2458x+21412\) |
2.3.0.a.1, 12.6.0.b.1, 26.6.0.b.1, 156.12.0.? |
$[]$ |
| 31200.s1 |
31200bo1 |
31200.s |
31200bo |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$5.427010919$ |
$1$ |
|
$3$ |
$221184$ |
$1.885212$ |
$2052450196928704/4317958125$ |
$0.99718$ |
$4.74222$ |
$[0, -1, 0, -264758, 52428012]$ |
\(y^2=x^3-x^2-264758x+52428012\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.12.0.e.1, 104.24.0.?, $\ldots$ |
$[(223, 2104)]$ |
| 31200.s2 |
31200bo2 |
31200.s |
31200bo |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{14} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$2.713505459$ |
$1$ |
|
$3$ |
$442368$ |
$2.231785$ |
$-9045718037056/48125390625$ |
$1.00600$ |
$4.84428$ |
$[0, -1, 0, -173633, 88969137]$ |
\(y^2=x^3-x^2-173633x+88969137\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 104.24.0.?, 120.12.0.?, $\ldots$ |
$[(-253, 10800)]$ |
| 31200.t1 |
31200bn2 |
31200.t |
31200bn |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{2} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.397972018$ |
$1$ |
|
$7$ |
$18432$ |
$0.760479$ |
$14172488/7605$ |
$1.00983$ |
$3.12729$ |
$[0, -1, 0, -1008, -2988]$ |
\(y^2=x^3-x^2-1008x-2988\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(36, 78)]$ |
| 31200.t2 |
31200bn1 |
31200.t |
31200bn |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3 \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.795944037$ |
$1$ |
|
$5$ |
$9216$ |
$0.413906$ |
$1560896/975$ |
$0.86761$ |
$2.71316$ |
$[0, -1, 0, 242, -488]$ |
\(y^2=x^3-x^2+242x-488\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(3, 16)]$ |
| 31200.u1 |
31200bh1 |
31200.u |
31200bh |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{10} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.720675$ |
$-1600/177957$ |
$1.41328$ |
$4.24772$ |
$[0, -1, 0, -833, 4059537]$ |
\(y^2=x^3-x^2-833x+4059537\) |
52.2.0.a.1 |
$[]$ |
| 31200.v1 |
31200i1 |
31200.v |
31200i |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$460800$ |
$2.043892$ |
$-326938350400/767637$ |
$0.97931$ |
$4.92157$ |
$[0, -1, 0, -490833, 132789537]$ |
\(y^2=x^3-x^2-490833x+132789537\) |
52.2.0.a.1 |
$[]$ |
| 31200.w1 |
31200k1 |
31200.w |
31200k |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{10} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.239172$ |
$-326938350400/767637$ |
$0.97931$ |
$3.98840$ |
$[0, -1, 0, -19633, -1054463]$ |
\(y^2=x^3-x^2-19633x-1054463\) |
52.2.0.a.1 |
$[]$ |
| 31200.x1 |
31200b1 |
31200.x |
31200b |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{5} \cdot 5^{11} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$3.394301931$ |
$1$ |
|
$0$ |
$230400$ |
$1.956697$ |
$2758136205824/1668346875$ |
$1.01659$ |
$4.50514$ |
$[0, -1, 0, 116867, 3231637]$ |
\(y^2=x^3-x^2+116867x+3231637\) |
390.2.0.? |
$[(-137/3, 32500/3)]$ |
| 31200.y1 |
31200m1 |
31200.y |
31200m |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{4} \cdot 5^{4} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.190317380$ |
$1$ |
|
$8$ |
$46080$ |
$0.915956$ |
$-1600/177957$ |
$1.41328$ |
$3.31455$ |
$[0, -1, 0, -33, -32463]$ |
\(y^2=x^3-x^2-33x-32463\) |
52.2.0.a.1 |
$[(177, 2340)]$ |
| 31200.z1 |
31200l2 |
31200.z |
31200l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{9} \cdot 3^{4} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14336$ |
$0.407947$ |
$26463592/13689$ |
$1.00478$ |
$2.72105$ |
$[0, -1, 0, -248, -408]$ |
\(y^2=x^3-x^2-248x-408\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 31200.z2 |
31200l1 |
31200.z |
31200l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 5^{2} \cdot 13 \) |
\( 2^{6} \cdot 3^{2} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7168$ |
$0.061373$ |
$107850176/117$ |
$1.01593$ |
$2.65587$ |
$[0, -1, 0, -198, -1008]$ |
\(y^2=x^3-x^2-198x-1008\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
