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 |
37440.a1 |
37440eb1 |
37440.a |
37440eb |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{7} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.871438821$ |
$1$ |
|
$2$ |
$15360$ |
$0.283630$ |
$175616/4875$ |
$0.85447$ |
$2.53322$ |
$[0, 0, 0, 42, -718]$ |
\(y^2=x^3+42x-718\) |
390.2.0.? |
$[(13, 45)]$ |
37440.b1 |
37440et2 |
37440.b |
37440et |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.652939$ |
$1111934656/65$ |
$0.93766$ |
$3.39384$ |
$[0, 0, 0, -3108, -66688]$ |
\(y^2=x^3-3108x-66688\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
37440.b2 |
37440et1 |
37440.b |
37440et |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.306365$ |
$-14526784/4225$ |
$0.88671$ |
$2.62564$ |
$[0, 0, 0, -183, -1168]$ |
\(y^2=x^3-183x-1168\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
37440.c1 |
37440es4 |
37440.c |
37440es |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 3^{8} \cdot 5^{4} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$11.43081973$ |
$1$ |
|
$9$ |
$98304$ |
$1.355627$ |
$428320044872/73125$ |
$0.93037$ |
$4.15669$ |
$[0, 0, 0, -45228, -3701648]$ |
\(y^2=x^3-45228x-3701648\) |
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.?, $\ldots$ |
$[(-123, 23), (276, 2200)]$ |
37440.c2 |
37440es3 |
37440.c |
37440es |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$0.714426233$ |
$1$ |
|
$27$ |
$98304$ |
$1.355627$ |
$33324076232/1285245$ |
$0.90816$ |
$3.91420$ |
$[0, 0, 0, -19308, 997648]$ |
\(y^2=x^3-19308x+997648\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 104.12.0.?, $\ldots$ |
$[(66, 104), (53, 351)]$ |
37440.c3 |
37440es2 |
37440.c |
37440es |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 13^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$2.857704934$ |
$1$ |
|
$27$ |
$49152$ |
$1.009052$ |
$1111934656/342225$ |
$0.92141$ |
$3.39384$ |
$[0, 0, 0, -3108, -45632]$ |
\(y^2=x^3-3108x-45632\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[(74, 360), (-34, 144)]$ |
37440.c4 |
37440es1 |
37440.c |
37440es |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{14} \cdot 5 \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$11.43081973$ |
$1$ |
|
$5$ |
$24576$ |
$0.662479$ |
$367061696/426465$ |
$0.92633$ |
$2.89438$ |
$[0, 0, 0, 537, -4808]$ |
\(y^2=x^3+537x-4808\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(12, 58), (24, 148)]$ |
37440.d1 |
37440n2 |
37440.d |
37440n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 3^{3} \cdot 5 \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.186325245$ |
$1$ |
|
$17$ |
$16384$ |
$0.475607$ |
$25412184/845$ |
$1.01323$ |
$2.91950$ |
$[0, 0, 0, -588, 5328]$ |
\(y^2=x^3-588x+5328\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(18, 24), (16, 4)]$ |
37440.d2 |
37440n1 |
37440.d |
37440n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.186325245$ |
$1$ |
|
$21$ |
$8192$ |
$0.129034$ |
$1728/325$ |
$0.96944$ |
$2.35972$ |
$[0, 0, 0, 12, 288]$ |
\(y^2=x^3+12x+288\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(4, 20), (-2, 16)]$ |
37440.e1 |
37440bx1 |
37440.e |
37440bx |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 3^{6} \cdot 5^{5} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$3.688451289$ |
$1$ |
|
$5$ |
$368640$ |
$1.945978$ |
$65787589563409/10400000$ |
$0.97958$ |
$4.83223$ |
$[0, 0, 0, -484428, 129757552]$ |
\(y^2=x^3-484428x+129757552\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(389, 423)]$ |
37440.e2 |
37440bx2 |
37440.e |
37440bx |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{22} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.844225644$ |
$1$ |
|
$7$ |
$737280$ |
$2.292553$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$4.86649$ |
$[0, 0, 0, -438348, 155433328]$ |
\(y^2=x^3-438348x+155433328\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(-562, 14976)]$ |
37440.f1 |
37440e4 |
37440.f |
37440e |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 3^{9} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$8.164724527$ |
$1$ |
|
$3$ |
$663552$ |
$2.153530$ |
$520300455507/193072360$ |
$0.98306$ |
$4.68561$ |
$[0, 0, 0, -289548, 35920368]$ |
\(y^2=x^3-289548x+35920368\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0-6.a.1.1, $\ldots$ |
$[(6856, 565964)]$ |
37440.f2 |
37440e2 |
37440.f |
37440e |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$2.721574842$ |
$1$ |
|
$5$ |
$221184$ |
$1.604221$ |
$261984288445803/42250$ |
$1.00391$ |
$4.65047$ |
$[0, 0, 0, -255948, 49839728]$ |
\(y^2=x^3-255948x+49839728\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0-6.a.1.3, $\ldots$ |
$[(296, 116)]$ |
37440.f3 |
37440e1 |
37440.f |
37440e |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 3^{3} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1.360787421$ |
$1$ |
|
$5$ |
$110592$ |
$1.257648$ |
$-63378025803/812500$ |
$0.94486$ |
$3.86181$ |
$[0, 0, 0, -15948, 783728]$ |
\(y^2=x^3-15948x+783728\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.11, 60.24.0-6.a.1.8, $\ldots$ |
$[(46, 384)]$ |
37440.f4 |
37440e3 |
37440.f |
37440e |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$4.082362263$ |
$1$ |
|
$5$ |
$331776$ |
$1.806955$ |
$3774555693/3515200$ |
$0.94972$ |
$4.21782$ |
$[0, 0, 0, 56052, 3986928]$ |
\(y^2=x^3+56052x+3986928\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 60.24.0-6.a.1.12, $\ldots$ |
$[(-56, 820)]$ |
37440.g1 |
37440er4 |
37440.g |
37440er |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 3^{7} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$2.786289$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$6.15229$ |
$[0, 0, 0, -49840428, 135431833552]$ |
\(y^2=x^3-49840428x+135431833552\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0-4.c.1.1, 24.24.0-24.s.1.4, $\ldots$ |
$[]$ |
37440.g2 |
37440er3 |
37440.g |
37440er |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{23} \cdot 3^{10} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$2.786289$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$5.40174$ |
$[0, 0, 0, -3576108, 1448667088]$ |
\(y^2=x^3-3576108x+1448667088\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.2, 24.24.0-24.y.1.2, $\ldots$ |
$[]$ |
37440.g3 |
37440er2 |
37440.g |
37440er |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{28} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$983040$ |
$2.439716$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$5.36244$ |
$[0, 0, 0, -3115308, 2115721168]$ |
\(y^2=x^3-3115308x+2115721168\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.2, 24.24.0-24.b.1.2, $\ldots$ |
$[]$ |
37440.g4 |
37440er1 |
37440.g |
37440er |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{38} \cdot 3^{7} \cdot 5 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$2.093143$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$4.62279$ |
$[0, 0, 0, -166188, 43079632]$ |
\(y^2=x^3-166188x+43079632\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.y.1.8, 30.6.0.a.1, $\ldots$ |
$[]$ |
37440.h1 |
37440bw1 |
37440.h |
37440bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{6} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$2.217253215$ |
$1$ |
|
$5$ |
$24576$ |
$0.627412$ |
$117649/65$ |
$0.95681$ |
$2.91950$ |
$[0, 0, 0, -588, -1168]$ |
\(y^2=x^3-588x-1168\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-11, 63)]$ |
37440.h2 |
37440bw2 |
37440.h |
37440bw |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{18} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.108626607$ |
$1$ |
|
$7$ |
$49152$ |
$0.973986$ |
$6967871/4225$ |
$0.89914$ |
$3.30708$ |
$[0, 0, 0, 2292, -9232]$ |
\(y^2=x^3+2292x-9232\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(14, 160)]$ |
37440.i1 |
37440bh4 |
37440.i |
37440bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.541201$ |
$490757540836/2142075$ |
$0.93734$ |
$4.23544$ |
$[0, 0, 0, -59628, 5583152]$ |
\(y^2=x^3-59628x+5583152\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 12.12.0.h.1, 24.24.0-12.h.1.1, $\ldots$ |
$[]$ |
37440.i2 |
37440bh2 |
37440.i |
37440bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$98304$ |
$1.194626$ |
$1650587344/950625$ |
$0.98820$ |
$3.56300$ |
$[0, 0, 0, -5628, -11248]$ |
\(y^2=x^3-5628x-11248\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.2, 52.12.0.b.1, $\ldots$ |
$[]$ |
37440.i3 |
37440bh1 |
37440.i |
37440bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$0.848053$ |
$9538484224/26325$ |
$0.91841$ |
$3.46629$ |
$[0, 0, 0, -4008, -97432]$ |
\(y^2=x^3-4008x-97432\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.10, 26.6.0.b.1, $\ldots$ |
$[]$ |
37440.i4 |
37440bh3 |
37440.i |
37440bh |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{16} \cdot 3^{7} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$196608$ |
$1.541201$ |
$26198797244/15234375$ |
$1.02140$ |
$3.95717$ |
$[0, 0, 0, 22452, -89872]$ |
\(y^2=x^3+22452x-89872\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.ba.1.6, 78.6.0.?, $\ldots$ |
$[]$ |
37440.j1 |
37440df1 |
37440.j |
37440df |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.084026021$ |
$1$ |
|
$2$ |
$10240$ |
$0.119473$ |
$-27648/65$ |
$0.73656$ |
$2.35972$ |
$[0, 0, 0, -48, -288]$ |
\(y^2=x^3-48x-288\) |
390.2.0.? |
$[(9, 3)]$ |
37440.k1 |
37440d1 |
37440.k |
37440d |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$5.689639637$ |
$1$ |
|
$2$ |
$215040$ |
$1.770004$ |
$74251994112/29007265625$ |
$1.10272$ |
$4.23000$ |
$[0, 0, 0, 6672, 5446048]$ |
\(y^2=x^3+6672x+5446048\) |
390.2.0.? |
$[(377, 7845)]$ |
37440.l1 |
37440bu1 |
37440.l |
37440bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1.482583157$ |
$1$ |
|
$5$ |
$49152$ |
$1.030998$ |
$3718856704/2132325$ |
$1.07236$ |
$3.37684$ |
$[0, 0, 0, -2928, -5848]$ |
\(y^2=x^3-2928x-5848\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(-14, 180)]$ |
37440.l2 |
37440bu2 |
37440.l |
37440bu |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{10} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$2.965166314$ |
$1$ |
|
$5$ |
$98304$ |
$1.377571$ |
$14647977776/8555625$ |
$0.99143$ |
$3.77032$ |
$[0, 0, 0, 11652, -46672]$ |
\(y^2=x^3+11652x-46672\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 52.12.0.d.1, 156.24.0.?, $\ldots$ |
$[(56, 884)]$ |
37440.m1 |
37440em2 |
37440.m |
37440em |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 3^{12} \cdot 5 \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.596953045$ |
$1$ |
|
$17$ |
$147456$ |
$1.489983$ |
$10779215329/1232010$ |
$1.08676$ |
$4.00448$ |
$[0, 0, 0, -26508, -1488112]$ |
\(y^2=x^3-26508x-1488112\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(-94, 416), (226, 2016)]$ |
37440.m2 |
37440em1 |
37440.m |
37440em |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 3^{9} \cdot 5^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.596953045$ |
$1$ |
|
$17$ |
$73728$ |
$1.143410$ |
$6967871/35100$ |
$0.89079$ |
$3.50097$ |
$[0, 0, 0, 2292, -117232]$ |
\(y^2=x^3+2292x-117232\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(64, 540), (37, 135)]$ |
37440.n1 |
37440el1 |
37440.n |
37440el |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5 \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$2.758398288$ |
$1$ |
|
$11$ |
$36864$ |
$0.881873$ |
$153910165504/845$ |
$0.97660$ |
$3.73038$ |
$[0, 0, 0, -10128, 392312]$ |
\(y^2=x^3-10128x+392312\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 24.12.0-4.b.1.1, $\ldots$ |
$[(62, 52), (-23, 783)]$ |
37440.n2 |
37440el2 |
37440.n |
37440el |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 13^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$0.689599572$ |
$1$ |
|
$23$ |
$73728$ |
$1.228447$ |
$-9115564624/714025$ |
$0.88863$ |
$3.73733$ |
$[0, 0, 0, -9948, 406928]$ |
\(y^2=x^3-9948x+406928\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 20.12.0.d.1, 60.24.0-20.d.1.1, $\ldots$ |
$[(14, 520), (46, 216)]$ |
37440.o1 |
37440k1 |
37440.o |
37440k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.602535$ |
$42144192/4225$ |
$0.80831$ |
$3.00109$ |
$[0, 0, 0, -783, -7668]$ |
\(y^2=x^3-783x-7668\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
37440.o2 |
37440k2 |
37440.o |
37440k |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$36864$ |
$0.949109$ |
$1259712/8125$ |
$0.92550$ |
$3.28272$ |
$[0, 0, 0, 972, -37152]$ |
\(y^2=x^3+972x-37152\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
37440.p1 |
37440de2 |
37440.p |
37440de |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{26} \cdot 3^{3} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.075213425$ |
$1$ |
|
$5$ |
$1966080$ |
$2.878345$ |
$2034416504287874043/882294347833600$ |
$1.06294$ |
$5.50109$ |
$[0, 0, 0, -5068428, -2198584048]$ |
\(y^2=x^3-5068428x-2198584048\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(8674, 778752)]$ |
37440.p2 |
37440de1 |
37440.p |
37440de |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{34} \cdot 3^{3} \cdot 5^{4} \cdot 13^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.150426850$ |
$1$ |
|
$3$ |
$983040$ |
$2.531773$ |
$19441890357117957/15208161280000$ |
$1.08681$ |
$5.05947$ |
$[0, 0, 0, 1075572, -254622448]$ |
\(y^2=x^3+1075572x-254622448\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(901, 38025)]$ |
37440.q1 |
37440bt2 |
37440.q |
37440bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$0.816498274$ |
$1$ |
|
$7$ |
$32768$ |
$0.967490$ |
$140283769536/325$ |
$1.22475$ |
$3.85323$ |
$[0, 0, 0, -15588, 749088]$ |
\(y^2=x^3-15588x+749088\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 26.6.0.b.1, 52.12.0.e.1, $\ldots$ |
$[(69, 45)]$ |
37440.q2 |
37440bt1 |
37440.q |
37440bt |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.632996549$ |
$1$ |
|
$3$ |
$16384$ |
$0.620917$ |
$-2116874304/105625$ |
$0.98956$ |
$3.06790$ |
$[0, 0, 0, -963, 11988]$ |
\(y^2=x^3-963x+11988\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 52.12.0.d.1, 156.24.0.?, $\ldots$ |
$[(16, 26)]$ |
37440.r1 |
37440dy4 |
37440.r |
37440dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{19} \cdot 3^{8} \cdot 5^{3} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$3.368789826$ |
$1$ |
|
$3$ |
$442368$ |
$2.268848$ |
$189208196468929/10860320250$ |
$0.98694$ |
$4.93255$ |
$[0, 0, 0, -688908, -208885232]$ |
\(y^2=x^3-688908x-208885232\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 40.6.0.b.1, $\ldots$ |
$[(962, 4320)]$ |
37440.r2 |
37440dy2 |
37440.r |
37440dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{21} \cdot 3^{12} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$1.122929942$ |
$1$ |
|
$7$ |
$147456$ |
$1.719543$ |
$967068262369/4928040$ |
$0.95296$ |
$4.43150$ |
$[0, 0, 0, -118668, 15664912]$ |
\(y^2=x^3-118668x+15664912\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.b.1, $\ldots$ |
$[(162, 832)]$ |
37440.r3 |
37440dy1 |
37440.r |
37440dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$2.245859884$ |
$1$ |
|
$5$ |
$73728$ |
$1.372971$ |
$-24137569/561600$ |
$1.08140$ |
$3.77818$ |
$[0, 0, 0, -3468, 504592]$ |
\(y^2=x^3-3468x+504592\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 40.6.0.c.1, $\ldots$ |
$[(-4, 720)]$ |
37440.r4 |
37440dy3 |
37440.r |
37440dy |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$6.737579652$ |
$1$ |
|
$3$ |
$221184$ |
$1.922277$ |
$17394111071/411937500$ |
$1.08898$ |
$4.40005$ |
$[0, 0, 0, 31092, -13333232]$ |
\(y^2=x^3+31092x-13333232\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.6, 40.6.0.c.1, $\ldots$ |
$[(56444, 13410000)]$ |
37440.s1 |
37440ek2 |
37440.s |
37440ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{5} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$2.135593$ |
$7916055336451592/385003125$ |
$0.99391$ |
$5.08965$ |
$[0, 0, 0, -1195788, -503281712]$ |
\(y^2=x^3-1195788x-503281712\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
37440.s2 |
37440ek1 |
37440.s |
37440ek |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$1.789019$ |
$-13137573612736/3427734375$ |
$0.99802$ |
$4.31965$ |
$[0, 0, 0, -70788, -8731712]$ |
\(y^2=x^3-70788x-8731712\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
37440.t1 |
37440dc2 |
37440.t |
37440dc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.666712146$ |
$1$ |
|
$9$ |
$65536$ |
$1.142498$ |
$260549802603/4225$ |
$0.95689$ |
$3.99398$ |
$[0, 0, 0, -25548, 1571728]$ |
\(y^2=x^3-25548x+1571728\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(98, 96)]$ |
37440.t2 |
37440dc1 |
37440.t |
37440dc |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.333424293$ |
$1$ |
|
$5$ |
$32768$ |
$0.795925$ |
$-57960603/8125$ |
$0.86399$ |
$3.21587$ |
$[0, 0, 0, -1548, 26128]$ |
\(y^2=x^3-1548x+26128\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(18, 64)]$ |
37440.u1 |
37440dd2 |
37440.u |
37440dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{16} \cdot 3^{9} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.632930247$ |
$1$ |
|
$3$ |
$884736$ |
$2.372372$ |
$216092050322508/3016755625$ |
$1.03524$ |
$5.12650$ |
$[0, 0, 0, -1360908, -603654768]$ |
\(y^2=x^3-1360908x-603654768\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(5706, 421200)]$ |
37440.u2 |
37440dd1 |
37440.u |
37440dd |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{9} \cdot 5^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.265860494$ |
$1$ |
|
$3$ |
$442368$ |
$2.025795$ |
$-445090032/858203125$ |
$1.13399$ |
$4.52181$ |
$[0, 0, 0, -10908, -25314768]$ |
\(y^2=x^3-10908x-25314768\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(549, 11583)]$ |
37440.v1 |
37440bf1 |
37440.v |
37440bf |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{14} \cdot 3^{17} \cdot 5 \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$675840$ |
$2.255619$ |
$396555344454656/328867205355$ |
$1.02213$ |
$4.73953$ |
$[0, 0, 0, 349872, -52417888]$ |
\(y^2=x^3+349872x-52417888\) |
390.2.0.? |
$[]$ |