| 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 |
| 243360.a1 |
243360a1 |
243360.a |
243360a |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{5} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$4.459136258$ |
$1$ |
|
$2$ |
$5391360$ |
$2.259163$ |
$-244674248/3125$ |
$0.88568$ |
$4.24815$ |
$[0, 0, 0, -876603, 319369102]$ |
\(y^2=x^3-876603x+319369102\) |
40.2.0.a.1 |
$[(389, 6102)]$ |
| 243360.b1 |
243360b1 |
243360.b |
243360b |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$1.912678$ |
$175616/4875$ |
$0.85447$ |
$3.72711$ |
$[0, 0, 0, 28392, 12619568]$ |
\(y^2=x^3+28392x+12619568\) |
390.2.0.? |
$[]$ |
| 243360.c1 |
243360c2 |
243360.c |
243360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$2.005470273$ |
$1$ |
|
$17$ |
$5898240$ |
$2.397423$ |
$1261112198464/675$ |
$1.05532$ |
$4.68963$ |
$[0, 0, 0, -5477628, 4934426848]$ |
\(y^2=x^3-5477628x+4934426848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0.h.1, 24.24.0.bk.1, $\ldots$ |
$[(1404, 3380), (728, 36504)]$ |
| 243360.c2 |
243360c4 |
243360.c |
243360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$32.08752437$ |
$1$ |
|
$3$ |
$5898240$ |
$2.397423$ |
$26410345352/10546875$ |
$1.03973$ |
$4.21025$ |
$[0, 0, 0, -754923, -140550878]$ |
\(y^2=x^3-754923x-140550878\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-718, 5598), (-3783/4, 318227/4)]$ |
| 243360.c3 |
243360c1 |
243360.c |
243360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{4} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$312$ |
$48$ |
$0$ |
$8.021881093$ |
$1$ |
|
$15$ |
$2949120$ |
$2.050846$ |
$20034997696/455625$ |
$1.03014$ |
$4.02030$ |
$[0, 0, 0, -344253, 76200748]$ |
\(y^2=x^3-344253x+76200748\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$ |
$[(296, 486), (-39, 9464)]$ |
| 243360.c4 |
243360c3 |
243360.c |
243360c |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{18} \cdot 5^{2} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$8.021881093$ |
$1$ |
|
$11$ |
$5898240$ |
$2.397423$ |
$2863288/13286025$ |
$1.17383$ |
$4.19894$ |
$[0, 0, 0, 35997, 235373398]$ |
\(y^2=x^3+35997x+235373398\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 104.24.0.?, $\ldots$ |
$[(-91, 15210), (989, 35190)]$ |
| 243360.d1 |
243360d2 |
243360.d |
243360d |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$312$ |
$48$ |
$1$ |
$3.936522050$ |
$1$ |
|
$3$ |
$30670848$ |
$3.297550$ |
$998800479936/625$ |
$1.18222$ |
$5.55701$ |
$[0, 0, 0, -197650908, 1069537704768]$ |
\(y^2=x^3-197650908x+1069537704768\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 24.24.0.ez.1, 104.24.0.?, $\ldots$ |
$[(7869, 38475)]$ |
| 243360.d2 |
243360d1 |
243360.d |
243360d |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$312$ |
$48$ |
$1$ |
$7.873044100$ |
$1$ |
|
$1$ |
$15335424$ |
$2.950977$ |
$-15326915904/390625$ |
$1.10985$ |
$4.88836$ |
$[0, 0, 0, -12279033, 16922049768]$ |
\(y^2=x^3-12279033x+16922049768\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 24.24.0.eo.1, 78.6.0.?, $\ldots$ |
$[(79609/6, 5213125/6)]$ |
| 243360.e1 |
243360e2 |
243360.e |
243360e |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.595309921$ |
$1$ |
|
$15$ |
$1032192$ |
$1.427692$ |
$150568768/16875$ |
$0.91075$ |
$3.34085$ |
$[0, 0, 0, -20748, 1032928]$ |
\(y^2=x^3-20748x+1032928\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(29, 675), (56, 216)]$ |
| 243360.e2 |
243360e1 |
243360.e |
243360e |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{12} \cdot 5^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.595309921$ |
$1$ |
|
$13$ |
$516096$ |
$1.081118$ |
$131096512/18225$ |
$0.91035$ |
$2.99435$ |
$[0, 0, 0, -4953, -116948]$ |
\(y^2=x^3-4953x-116948\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(-39, 130), (-49, 90)]$ |
| 243360.f1 |
243360f2 |
243360.f |
243360f |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$3.155951716$ |
$1$ |
|
$3$ |
$239616$ |
$0.730380$ |
$405224/25$ |
$0.79334$ |
$2.69604$ |
$[0, 0, 0, -1443, -19942]$ |
\(y^2=x^3-1443x-19942\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(-22, 34)]$ |
| 243360.f2 |
243360f1 |
243360.f |
243360f |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.577975858$ |
$1$ |
|
$5$ |
$119808$ |
$0.383807$ |
$21952/5$ |
$0.73783$ |
$2.29329$ |
$[0, 0, 0, -273, 1352]$ |
\(y^2=x^3-273x+1352\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(4, 18)]$ |
| 243360.g1 |
243360g2 |
243360.g |
243360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.291527$ |
$428320044872/73125$ |
$0.93037$ |
$4.43489$ |
$[0, 0, 0, -1910883, 1016565082]$ |
\(y^2=x^3-1910883x+1016565082\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 243360.g2 |
243360g4 |
243360.g |
243360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.291527$ |
$33324076232/1285245$ |
$0.90816$ |
$4.22899$ |
$[0, 0, 0, -815763, -273979082]$ |
\(y^2=x^3-815763x-273979082\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 243360.g3 |
243360g1 |
243360.g |
243360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$1.944954$ |
$1111934656/342225$ |
$0.92141$ |
$3.78717$ |
$[0, 0, 0, -131313, 12531688]$ |
\(y^2=x^3-131313x+12531688\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 243360.g4 |
243360g3 |
243360.g |
243360g |
$4$ |
$4$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{14} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.291527$ |
$367061696/426465$ |
$0.92633$ |
$4.03375$ |
$[0, 0, 0, 363012, 84505408]$ |
\(y^2=x^3+363012x+84505408\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 243360.h1 |
243360h2 |
243360.h |
243360h |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{12} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$6709248$ |
$2.393311$ |
$18821096/3645$ |
$0.87820$ |
$4.24639$ |
$[0, 0, 0, -876603, -257677342]$ |
\(y^2=x^3-876603x-257677342\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 243360.h2 |
243360h1 |
243360.h |
243360h |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3354624$ |
$2.046738$ |
$314432/675$ |
$1.11492$ |
$3.82916$ |
$[0, 0, 0, 112047, -23762752]$ |
\(y^2=x^3+112047x-23762752\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 243360.i1 |
243360i2 |
243360.i |
243360i |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$312$ |
$48$ |
$1$ |
$0.977874532$ |
$1$ |
|
$7$ |
$786432$ |
$1.465771$ |
$998800479936/625$ |
$1.18222$ |
$3.78464$ |
$[0, 0, 0, -129948, 18030272]$ |
\(y^2=x^3-129948x+18030272\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 24.24.0.ez.1, 104.24.0.?, $\ldots$ |
$[(221, 325)]$ |
| 243360.i2 |
243360i1 |
243360.i |
243360i |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$312$ |
$48$ |
$1$ |
$1.955749065$ |
$1$ |
|
$5$ |
$393216$ |
$1.119198$ |
$-15326915904/390625$ |
$1.10985$ |
$3.11600$ |
$[0, 0, 0, -8073, 285272]$ |
\(y^2=x^3-8073x+285272\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 24.24.0.eo.1, 78.6.0.?, $\ldots$ |
$[(52, 78)]$ |
| 243360.j1 |
243360j2 |
243360.j |
243360j |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$688128$ |
$1.411509$ |
$25412184/845$ |
$1.01323$ |
$3.38442$ |
$[0, 0, 0, -24843, -1463202]$ |
\(y^2=x^3-24843x-1463202\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 243360.j2 |
243360j1 |
243360.j |
243360j |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$344064$ |
$1.064934$ |
$1728/325$ |
$0.96944$ |
$2.90913$ |
$[0, 0, 0, 507, -79092]$ |
\(y^2=x^3+507x-79092\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[]$ |
| 243360.k1 |
243360k1 |
243360.k |
243360k |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$2.691195189$ |
$1$ |
|
$5$ |
$1548288$ |
$1.588840$ |
$1111934656/65$ |
$0.93766$ |
$3.78717$ |
$[0, 0, 0, -131313, 18314192]$ |
\(y^2=x^3-131313x+18314192\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.12.0.?, $\ldots$ |
$[(199, 252)]$ |
| 243360.k2 |
243360k2 |
243360.k |
243360k |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.345597594$ |
$1$ |
|
$7$ |
$3096576$ |
$1.935413$ |
$-14526784/4225$ |
$0.88671$ |
$3.80557$ |
$[0, 0, 0, -123708, 20528768]$ |
\(y^2=x^3-123708x+20528768\) |
2.3.0.a.1, 4.6.0.a.1, 120.12.0.?, 260.12.0.?, 312.12.0.?, $\ldots$ |
$[(-182, 6084)]$ |
| 243360.l1 |
243360l1 |
243360.l |
243360l |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$780$ |
$12$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13178880$ |
$2.892742$ |
$-17951798997504/125$ |
$1.22576$ |
$5.25845$ |
$[0, 0, 0, -57526248, -167937309072]$ |
\(y^2=x^3-57526248x-167937309072\) |
3.3.0.a.1, 60.6.0.h.1, 156.6.0.?, 390.6.1.?, 780.12.1.? |
$[]$ |
| 243360.m1 |
243360m1 |
243360.m |
243360m |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$780$ |
$12$ |
$1$ |
$14.28578631$ |
$1$ |
|
$0$ |
$3041280$ |
$2.159573$ |
$-17951798997504/125$ |
$1.22576$ |
$4.54906$ |
$[0, 0, 0, -3063528, -2063863152]$ |
\(y^2=x^3-3063528x-2063863152\) |
3.3.0.a.1, 60.6.0.h.1, 156.6.0.?, 390.6.1.?, 780.12.1.? |
$[(17214768/79, 50455133604/79)]$ |
| 243360.n1 |
243360n2 |
243360.n |
243360n |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{9} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.993323614$ |
$1$ |
|
$3$ |
$368640$ |
$1.130537$ |
$32157432/5$ |
$0.88159$ |
$3.31445$ |
$[0, 0, 0, -18603, -976482]$ |
\(y^2=x^3-18603x-976482\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[(322, 5140)]$ |
| 243360.n2 |
243360n1 |
243360.n |
243360n |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.996661807$ |
$1$ |
|
$5$ |
$184320$ |
$0.783964$ |
$-46656/25$ |
$0.66228$ |
$2.67267$ |
$[0, 0, 0, -1053, -18252]$ |
\(y^2=x^3-1053x-18252\) |
2.3.0.a.1, 40.6.0.e.1, 78.6.0.?, 1560.12.0.? |
$[(52, 260)]$ |
| 243360.o1 |
243360o2 |
243360.o |
243360o |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$301056$ |
$1.067837$ |
$157464/25$ |
$1.00841$ |
$2.97451$ |
$[0, 0, 0, -4563, -101062]$ |
\(y^2=x^3-4563x-101062\) |
2.3.0.a.1, 24.6.0.a.1, 40.6.0.e.1, 60.6.0.c.1, 120.12.0.? |
$[]$ |
| 243360.o2 |
243360o1 |
243360.o |
243360o |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$150528$ |
$0.721263$ |
$1728/5$ |
$0.69897$ |
$2.55480$ |
$[0, 0, 0, 507, -8788]$ |
\(y^2=x^3+507x-8788\) |
2.3.0.a.1, 24.6.0.d.1, 30.6.0.a.1, 40.6.0.e.1, 120.12.0.? |
$[]$ |
| 243360.p1 |
243360p2 |
243360.p |
243360p |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{12} \cdot 5^{5} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.173480159$ |
$1$ |
|
$3$ |
$15482880$ |
$3.071495$ |
$7916055336451592/385003125$ |
$0.99391$ |
$5.22704$ |
$[0, 0, 0, -50522043, 138213740158]$ |
\(y^2=x^3-50522043x+138213740158\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(113, 364014)]$ |
| 243360.p2 |
243360p1 |
243360.p |
243360p |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$10.34696031$ |
$1$ |
|
$1$ |
$7741440$ |
$2.724922$ |
$-13137573612736/3427734375$ |
$0.99802$ |
$4.57326$ |
$[0, 0, 0, -2990793, 2397946408]$ |
\(y^2=x^3-2990793x+2397946408\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(3032/7, 16136028/7)]$ |
| 243360.q1 |
243360q1 |
243360.q |
243360q |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$1.903391$ |
$140283769536/325$ |
$1.22475$ |
$4.17723$ |
$[0, 0, 0, -658593, -205718292]$ |
\(y^2=x^3-658593x-205718292\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[]$ |
| 243360.q2 |
243360q2 |
243360.q |
243360q |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2752512$ |
$2.249966$ |
$-2116874304/105625$ |
$0.98956$ |
$4.18108$ |
$[0, 0, 0, -650988, -210701088]$ |
\(y^2=x^3-650988x-210701088\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 52.12.0.d.1, 312.24.0.?, $\ldots$ |
$[]$ |
| 243360.r1 |
243360r1 |
243360.r |
243360r |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{3} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.849120431$ |
$1$ |
|
$10$ |
$2036736$ |
$1.963982$ |
$-228488/375$ |
$0.98606$ |
$3.79230$ |
$[0, 0, 0, -85683, 18907382]$ |
\(y^2=x^3-85683x+18907382\) |
120.2.0.? |
$[(169, 3042), (8281/5, 647946/5)]$ |
| 243360.s1 |
243360s1 |
243360.s |
243360s |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$3.950208842$ |
$1$ |
|
$3$ |
$368640$ |
$1.125736$ |
$438976/5$ |
$0.87813$ |
$3.15526$ |
$[0, 0, 0, -9633, 360308]$ |
\(y^2=x^3-9633x+360308\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ |
$[(-92, 684)]$ |
| 243360.s2 |
243360s2 |
243360.s |
243360s |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.975104421$ |
$1$ |
|
$3$ |
$737280$ |
$1.472309$ |
$-64/25$ |
$1.09219$ |
$3.30376$ |
$[0, 0, 0, -2028, 913952]$ |
\(y^2=x^3-2028x+913952\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 312.12.0.?, $\ldots$ |
$[(104, 1352)]$ |
| 243360.t1 |
243360t2 |
243360.t |
243360t |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1597440$ |
$1.863707$ |
$32157432/5$ |
$0.88159$ |
$4.02384$ |
$[0, 0, 0, -349323, -79456702]$ |
\(y^2=x^3-349323x-79456702\) |
2.3.0.a.1, 40.6.0.e.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 243360.t2 |
243360t1 |
243360.t |
243360t |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$798720$ |
$1.517132$ |
$-46656/25$ |
$0.66228$ |
$3.38205$ |
$[0, 0, 0, -19773, -1485172]$ |
\(y^2=x^3-19773x-1485172\) |
2.3.0.a.1, 40.6.0.e.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 243360.u1 |
243360u2 |
243360.u |
243360u |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.215538281$ |
$1$ |
|
$5$ |
$3096576$ |
$2.231583$ |
$42144192/4225$ |
$0.80831$ |
$4.12436$ |
$[0, 0, 0, -529308, 134772768]$ |
\(y^2=x^3-529308x+134772768\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(204, 5940)]$ |
| 243360.u2 |
243360u1 |
243360.u |
243360u |
$2$ |
$2$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$6.431076562$ |
$1$ |
|
$1$ |
$1548288$ |
$1.885010$ |
$1259712/8125$ |
$0.92550$ |
$3.69282$ |
$[0, 0, 0, 41067, 10202868]$ |
\(y^2=x^3+41067x+10202868\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(2401/2, 126775/2)]$ |
| 243360.v1 |
243360v1 |
243360.v |
243360v |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.851280395$ |
$1$ |
|
$4$ |
$86016$ |
$0.315601$ |
$2808/5$ |
$0.61830$ |
$2.14726$ |
$[0, 0, 0, 117, 702]$ |
\(y^2=x^3+117x+702\) |
40.2.0.a.1 |
$[(-3, 18)]$ |
| 243360.w1 |
243360w1 |
243360.w |
243360w |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1357824$ |
$1.736210$ |
$-13824/5$ |
$0.52695$ |
$3.60561$ |
$[0, 0, 0, -52728, -5940688]$ |
\(y^2=x^3-52728x-5940688\) |
390.2.0.? |
$[]$ |
| 243360.x1 |
243360x1 |
243360.x |
243360x |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.993263776$ |
$1$ |
|
$2$ |
$368640$ |
$1.167099$ |
$-179712/625$ |
$1.10485$ |
$3.01408$ |
$[0, 0, 0, -2808, -151632]$ |
\(y^2=x^3-2808x-151632\) |
6.2.0.a.1 |
$[(244, 3700)]$ |
| 243360.y1 |
243360y1 |
243360.y |
243360y |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{9} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$780$ |
$12$ |
$1$ |
$5.358903363$ |
$1$ |
|
$0$ |
$9345024$ |
$2.784790$ |
$1626379776/1953125$ |
$1.27665$ |
$4.51370$ |
$[0, 0, 0, 2583672, 1657451952]$ |
\(y^2=x^3+2583672x+1657451952\) |
3.3.0.a.1, 60.6.0.h.1, 156.6.0.?, 390.6.1.?, 780.12.1.? |
$[(-6084/5, 3980964/5)]$ |
| 243360.z1 |
243360z1 |
243360.z |
243360z |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{14} \cdot 5^{5} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$33.47068435$ |
$1$ |
|
$0$ |
$20766720$ |
$3.290897$ |
$2278334968/20503125$ |
$1.01804$ |
$5.05582$ |
$[0, 0, 0, 10196277, -47802488578]$ |
\(y^2=x^3+10196277x-47802488578\) |
40.2.0.a.1 |
$[(1583742050898661/433595, 65004005441280951636534/433595)]$ |
| 243360.ba1 |
243360ba1 |
243360.ba |
243360ba |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5 \cdot 13^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.798883256$ |
$1$ |
|
$0$ |
$6021120$ |
$2.512337$ |
$-4283098624/5569395$ |
$0.91949$ |
$4.32620$ |
$[0, 0, 0, -823368, 518175632]$ |
\(y^2=x^3-823368x+518175632\) |
390.2.0.? |
$[(-8528/3, 571220/3)]$ |
| 243360.bb1 |
243360bb1 |
243360.bb |
243360bb |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{9} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$780$ |
$12$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2156544$ |
$2.051620$ |
$1626379776/1953125$ |
$1.27665$ |
$3.80431$ |
$[0, 0, 0, 137592, 20369232]$ |
\(y^2=x^3+137592x+20369232\) |
3.3.0.a.1, 60.6.0.h.1, 156.6.0.?, 390.6.1.?, 780.12.1.? |
$[]$ |
| 243360.bc1 |
243360bc1 |
243360.bc |
243360bc |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{15} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.746770122$ |
$1$ |
|
$2$ |
$4644864$ |
$2.378132$ |
$153990656/1279395$ |
$0.92262$ |
$4.17209$ |
$[0, 0, 0, 271752, 199276688]$ |
\(y^2=x^3+271752x+199276688\) |
390.2.0.? |
$[(416, 19604)]$ |
| 243360.bd1 |
243360bd1 |
243360.bd |
243360bd |
$1$ |
$1$ |
\( 2^{5} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.117443707$ |
$1$ |
|
$0$ |
$1597440$ |
$1.900267$ |
$-179712/625$ |
$1.10485$ |
$3.72347$ |
$[0, 0, 0, -52728, -12338352]$ |
\(y^2=x^3-52728x-12338352\) |
6.2.0.a.1 |
$[(1521/2, 38025/2)]$ |
