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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
154560.a1 |
154560dl1 |
154560.a |
154560dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{4} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$5.394016094$ |
$1$ |
|
$13$ |
$589824$ |
$1.317596$ |
$1626794704081/83462400$ |
$[0, -1, 0, -15681, -716319]$ |
\(y^2=x^3-x^2-15681x-716319\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[(-69, 180), (-64, 145)]$ |
154560.a2 |
154560dl2 |
154560.a |
154560dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{8} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$5.394016094$ |
$1$ |
|
$11$ |
$1179648$ |
$1.664169$ |
$411664745519/13605414480$ |
$[0, -1, 0, 9919, -2851359]$ |
\(y^2=x^3-x^2+9919x-2851359\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[(133, 896), (443, 9396)]$ |
154560.b1 |
154560hr6 |
154560.b |
154560hr |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{4} \cdot 5 \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.185 |
2B |
$12880$ |
$192$ |
$1$ |
$47.23909172$ |
$1$ |
|
$1$ |
$75497472$ |
$3.922195$ |
$1242282009445982549834550082561/41992020$ |
$[0, -1, 0, -14333276161, -660485328353279]$ |
\(y^2=x^3-x^2-14333276161x-660485328353279\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 10.6.0.a.1, 16.48.0-16.e.2.8, $\ldots$ |
$[(653603736722576152083/5510359, 16709561298707056623342038147636/5510359)]$ |
154560.b2 |
154560hr4 |
154560.b |
154560hr |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.130 |
2Cs |
$6440$ |
$192$ |
$1$ |
$23.61954586$ |
$1$ |
|
$3$ |
$37748736$ |
$3.575619$ |
$303291507481995500913332161/1763329743680400$ |
$[0, -1, 0, -895829761, -10319859267839]$ |
\(y^2=x^3-x^2-895829761x-10319859267839\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.1.11, 20.24.0.c.1, 40.96.0-40.k.2.5, $\ldots$ |
$[(36184279443/41, 6883026837668044/41)]$ |
154560.b3 |
154560hr5 |
154560.b |
154560hr |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{20} \cdot 3^{4} \cdot 5 \cdot 7^{8} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.225 |
2B |
$12880$ |
$192$ |
$1$ |
$47.23909172$ |
$1$ |
|
$1$ |
$75497472$ |
$3.922195$ |
$-302765284673144739899429761/731344538939408411220$ |
$[0, -1, 0, -895311361, -10332400089599]$ |
\(y^2=x^3-x^2-895311361x-10332400089599\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.2.2, 20.12.0.h.1, 40.96.0-40.bn.1.3, $\ldots$ |
$[(655176543530327294163/5517001, 16770155164042599708887270445644/5517001)]$ |
154560.b4 |
154560hr2 |
154560.b |
154560hr |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{16} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.85 |
2Cs |
$6440$ |
$192$ |
$1$ |
$11.80977293$ |
$1$ |
|
$5$ |
$18874368$ |
$3.229046$ |
$74174404299602673044161/178530248806560000$ |
$[0, -1, 0, -56021761, -161037815039]$ |
\(y^2=x^3-x^2-56021761x-161037815039\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.e.2.3, 40.96.0-40.w.2.6, 644.24.0.?, $\ldots$ |
$[(21525441, 99868390400)]$ |
154560.b5 |
154560hr3 |
154560.b |
154560hr |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{22} \cdot 3^{32} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.192 |
2B |
$12880$ |
$192$ |
$1$ |
$5.904886465$ |
$4$ |
$2$ |
$5$ |
$37748736$ |
$3.575619$ |
$-18736995756767139956161/119334500162058560400$ |
$[0, -1, 0, -35413761, -281046442239]$ |
\(y^2=x^3-x^2-35413761x-281046442239\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 16.48.0-16.e.1.14, 40.48.0-40.ca.1.9, $\ldots$ |
$[(8321, 18560)]$ |
154560.b6 |
154560hr1 |
154560.b |
154560hr |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{34} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.219 |
2B |
$12880$ |
$192$ |
$1$ |
$5.904886465$ |
$1$ |
|
$3$ |
$9437184$ |
$2.882473$ |
$47293441677949844161/27041817600000000$ |
$[0, -1, 0, -4821761, -443895039]$ |
\(y^2=x^3-x^2-4821761x-443895039\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0-8.bb.1.7, 80.96.0.?, 322.6.0.?, $\ldots$ |
$[(5603, 385236)]$ |
154560.c1 |
154560hs4 |
154560.c |
154560hs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{24} \cdot 3^{7} \cdot 5^{12} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$247726080$ |
$4.447449$ |
$65853432878493908038433301506521/38511703125000000$ |
$[0, -1, 0, -53843284321, -4808878531214879]$ |
\(y^2=x^3-x^2-53843284321x-4808878531214879\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.ba.1.3, 138.6.0.?, $\ldots$ |
$[]$ |
154560.c2 |
154560hs2 |
154560.c |
154560hs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{30} \cdot 3^{14} \cdot 5^{6} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$123863040$ |
$4.100876$ |
$16077778198622525072705635801/388799208512064000000$ |
$[0, -1, 0, -3365224801, -75136969936415]$ |
\(y^2=x^3-x^2-3365224801x-75136969936415\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.2, 276.12.0.?, $\ldots$ |
$[]$ |
154560.c3 |
154560hs3 |
154560.c |
154560hs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{24} \cdot 3^{28} \cdot 5^{3} \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$247726080$ |
$4.447449$ |
$-14346048055032350809895395801/2509530875136386550792000$ |
$[0, -1, 0, -3239784801, -80996849360415]$ |
\(y^2=x^3-x^2-3239784801x-80996849360415\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 40.24.0-20.h.1.2, $\ldots$ |
$[]$ |
154560.c4 |
154560hs1 |
154560.c |
154560hs |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{42} \cdot 3^{7} \cdot 5^{3} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61931520$ |
$3.754303$ |
$4381924769947287308715481/608122186185572352000$ |
$[0, -1, 0, -218186081, -1081484185119]$ |
\(y^2=x^3-x^2-218186081x-1081484185119\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.1, 552.24.0.?, $\ldots$ |
$[]$ |
154560.d1 |
154560ht4 |
154560.d |
154560ht |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{4} \cdot 5^{3} \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$1.795696$ |
$3183636045638162/19833730875$ |
$[0, -1, 0, -155681, -23463519]$ |
\(y^2=x^3-x^2-155681x-23463519\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.1, 280.24.0.?, $\ldots$ |
$[]$ |
154560.d2 |
154560ht2 |
154560.d |
154560ht |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{6} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$1.449123$ |
$6507178816324/3645140625$ |
$[0, -1, 0, -15681, 140481]$ |
\(y^2=x^3-x^2-15681x+140481\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 280.24.0.?, 552.12.0.?, $\ldots$ |
$[]$ |
154560.d3 |
154560ht1 |
154560.d |
154560ht |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{14} \cdot 3 \cdot 5^{3} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.102549$ |
$10981797946576/20708625$ |
$[0, -1, 0, -11761, 494065]$ |
\(y^2=x^3-x^2-11761x+494065\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[]$ |
154560.d4 |
154560ht3 |
154560.d |
154560ht |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{17} \cdot 3 \cdot 5^{12} \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1572864$ |
$1.795696$ |
$197209449637198/117919921875$ |
$[0, -1, 0, 61599, 1052385]$ |
\(y^2=x^3-x^2+61599x+1052385\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.4, 280.24.0.?, $\ldots$ |
$[]$ |
154560.e1 |
154560hu3 |
154560.e |
154560hu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{8} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1288$ |
$48$ |
$0$ |
$3.937521956$ |
$1$ |
|
$15$ |
$1310720$ |
$1.839819$ |
$273629163383866082/26408025$ |
$[0, -1, 0, -687041, 219419841]$ |
\(y^2=x^3-x^2-687041x+219419841\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 56.24.0-56.z.1.1, 92.12.0.?, $\ldots$ |
$[(481, 80), (4375/3, 7408/3)]$ |
154560.e2 |
154560hu4 |
154560.e |
154560hu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{2} \cdot 5^{8} \cdot 7^{4} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1288$ |
$48$ |
$0$ |
$3.937521956$ |
$1$ |
|
$17$ |
$1310720$ |
$1.839819$ |
$372749784765122/194143359375$ |
$[0, -1, 0, -76161, -2532735]$ |
\(y^2=x^3-x^2-76161x-2532735\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 56.24.0-56.z.1.3, 92.12.0.?, $\ldots$ |
$[(993, 30000), (-61, 1372)]$ |
154560.e3 |
154560hu2 |
154560.e |
154560hu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1288$ |
$48$ |
$0$ |
$3.937521956$ |
$1$ |
|
$23$ |
$655360$ |
$1.493246$ |
$134555337776164/1312250625$ |
$[0, -1, 0, -43041, 3422241]$ |
\(y^2=x^3-x^2-43041x+3422241\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 28.12.0.b.1, 56.24.0-28.b.1.1, 92.12.0.?, $\ldots$ |
$[(83, 644), (273, 3456)]$ |
154560.e4 |
154560hu1 |
154560.e |
154560hu |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1288$ |
$48$ |
$0$ |
$0.984380489$ |
$1$ |
|
$19$ |
$327680$ |
$1.146673$ |
$-2533446736/440749575$ |
$[0, -1, 0, -721, 129745]$ |
\(y^2=x^3-x^2-721x+129745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 14.6.0.b.1, 28.12.0.g.1, $\ldots$ |
$[(-32, 345), (-9, 368)]$ |
154560.f1 |
154560hv6 |
154560.f |
154560hv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{19} \cdot 3 \cdot 5 \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$38640$ |
$192$ |
$1$ |
$12.63046689$ |
$1$ |
|
$1$ |
$3145728$ |
$2.417152$ |
$67176973097223766561/91487391870$ |
$[0, -1, 0, -5420161, -4855168895]$ |
\(y^2=x^3-x^2-5420161x-4855168895\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 60.12.0-4.c.1.2, 112.48.0.?, $\ldots$ |
$[(545619/7, 393375716/7)]$ |
154560.f2 |
154560hv4 |
154560.f |
154560hv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.20 |
2Cs |
$19320$ |
$192$ |
$1$ |
$6.315233447$ |
$1$ |
|
$5$ |
$1572864$ |
$2.070576$ |
$16840406336564161/604708416900$ |
$[0, -1, 0, -341761, -74363135]$ |
\(y^2=x^3-x^2-341761x-74363135\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.11, 56.48.0-56.i.1.11, 60.24.0-4.b.1.2, $\ldots$ |
$[(771, 10948)]$ |
154560.f3 |
154560hv2 |
154560.f |
154560hv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{22} \cdot 3^{4} \cdot 5^{4} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.21 |
2Cs |
$19320$ |
$192$ |
$1$ |
$3.157616723$ |
$1$ |
|
$9$ |
$786432$ |
$1.724003$ |
$65553197996161/20996010000$ |
$[0, -1, 0, -53761, 3224065]$ |
\(y^2=x^3-x^2-53761x+3224065\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.2, 56.48.0-56.i.2.11, 120.48.0.?, $\ldots$ |
$[(-96, 2737)]$ |
154560.f4 |
154560hv1 |
154560.f |
154560hv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{26} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$38640$ |
$192$ |
$1$ |
$1.578808361$ |
$1$ |
|
$5$ |
$393216$ |
$1.377430$ |
$48551226272641/9273600$ |
$[0, -1, 0, -48641, 4144641]$ |
\(y^2=x^3-x^2-48641x+4144641\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 112.48.0.?, 240.48.0.?, $\ldots$ |
$[(131, 60)]$ |
154560.f5 |
154560hv5 |
154560.f |
154560hv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{19} \cdot 3 \cdot 5 \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.95 |
2B |
$38640$ |
$192$ |
$1$ |
$12.63046689$ |
$1$ |
|
$1$ |
$3145728$ |
$2.417152$ |
$898045580910239/115117148363070$ |
$[0, -1, 0, 128639, -263746175]$ |
\(y^2=x^3-x^2+128639x-263746175\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.9, 56.48.0-56.bv.1.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(360819/23, 144399836/23)]$ |
154560.f6 |
154560hv3 |
154560.f |
154560hv |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{20} \cdot 3^{8} \cdot 5^{8} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.97 |
2B |
$38640$ |
$192$ |
$1$ |
$1.578808361$ |
$4$ |
$2$ |
$7$ |
$1572864$ |
$2.070576$ |
$1490881681033919/1650501562500$ |
$[0, -1, 0, 152319, 21812481]$ |
\(y^2=x^3-x^2+152319x+21812481\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.11, 56.48.0-56.bv.2.1, 184.48.0.?, $\ldots$ |
$[(33, 5184)]$ |
154560.g1 |
154560hw2 |
154560.g |
154560hw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \cdot 23 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$0.906492502$ |
$1$ |
|
$21$ |
$122880$ |
$0.659992$ |
$4758586568/253575$ |
$[0, -1, 0, -1121, 14145]$ |
\(y^2=x^3-x^2-1121x+14145\) |
2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.? |
$[(13, 40), (29, 72)]$ |
154560.g2 |
154560hw1 |
154560.g |
154560hw |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3 \cdot 5 \cdot 7 \cdot 23^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$3.625970011$ |
$1$ |
|
$9$ |
$61440$ |
$0.313419$ |
$220348864/55545$ |
$[0, -1, 0, -201, -759]$ |
\(y^2=x^3-x^2-201x-759\) |
2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.? |
$[(-7, 16), (25, 96)]$ |
154560.h1 |
154560dm2 |
154560.h |
154560dm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{19} \cdot 3^{6} \cdot 5^{6} \cdot 7^{2} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$1.985195196$ |
$1$ |
|
$3$ |
$884736$ |
$1.726585$ |
$44365623586201/25674468750$ |
$[0, -1, 0, -47201, 22785]$ |
\(y^2=x^3-x^2-47201x+22785\) |
2.3.0.a.1, 184.6.0.?, 420.6.0.?, 19320.12.0.? |
$[(269, 2592)]$ |
154560.h2 |
154560dm1 |
154560.h |
154560dm |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{20} \cdot 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$19320$ |
$12$ |
$0$ |
$3.970390393$ |
$1$ |
|
$3$ |
$442368$ |
$1.380011$ |
$14457238157881/49990500$ |
$[0, -1, 0, -32481, 2257281]$ |
\(y^2=x^3-x^2-32481x+2257281\) |
2.3.0.a.1, 184.6.0.?, 210.6.0.?, 19320.12.0.? |
$[(523, 11316)]$ |
154560.i1 |
154560dn1 |
154560.i |
154560dn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{2} \cdot 7 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$2.203527816$ |
$1$ |
|
$2$ |
$168960$ |
$0.856090$ |
$-615640662016/978075$ |
$[0, -1, 0, -4501, 117901]$ |
\(y^2=x^3-x^2-4501x+117901\) |
966.2.0.? |
$[(36, 35)]$ |
154560.j1 |
154560do4 |
154560.j |
154560do |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{3} \cdot 5 \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1572864$ |
$1.966061$ |
$127847420666360642/17899707105$ |
$[0, -1, 0, -533121, -149630175]$ |
\(y^2=x^3-x^2-533121x-149630175\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
154560.j2 |
154560do3 |
154560.j |
154560do |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{17} \cdot 3^{12} \cdot 5^{4} \cdot 7^{2} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1572864$ |
$1.966061$ |
$8579021289461282/374333754375$ |
$[0, -1, 0, -216641, 37391841]$ |
\(y^2=x^3-x^2-216641x+37391841\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
154560.j3 |
154560do2 |
154560.j |
154560do |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{4} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$786432$ |
$1.619488$ |
$80859142234084/23148101025$ |
$[0, -1, 0, -36321, -1881855]$ |
\(y^2=x^3-x^2-36321x-1881855\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.b.1, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
154560.j4 |
154560do1 |
154560.j |
154560do |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{2} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$1.272915$ |
$1457028215984/1851148215$ |
$[0, -1, 0, 5999, -197519]$ |
\(y^2=x^3-x^2+5999x-197519\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 30.6.0.a.1, 60.12.0.g.1, $\ldots$ |
$[]$ |
154560.k1 |
154560hx4 |
154560.k |
154560hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$6440$ |
$48$ |
$0$ |
$5.087059878$ |
$4$ |
$2$ |
$5$ |
$1048576$ |
$1.923313$ |
$9614816895690721/34652610405$ |
$[0, -1, 0, -283521, -57831039]$ |
\(y^2=x^3-x^2-283521x-57831039\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.ba.1.9, 1288.24.0.?, $\ldots$ |
$[(-320, 159)]$ |
154560.k2 |
154560hx2 |
154560.k |
154560hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$6440$ |
$48$ |
$0$ |
$2.543529939$ |
$1$ |
|
$11$ |
$524288$ |
$1.576738$ |
$7347774183121/4251692025$ |
$[0, -1, 0, -25921, 25921]$ |
\(y^2=x^3-x^2-25921x+25921\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0.a.1, 40.24.0-20.a.1.1, 644.12.0.?, $\ldots$ |
$[(0, 161)]$ |
154560.k3 |
154560hx1 |
154560.k |
154560hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{18} \cdot 3^{4} \cdot 5^{4} \cdot 7 \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6440$ |
$48$ |
$0$ |
$1.271764969$ |
$1$ |
|
$7$ |
$262144$ |
$1.230165$ |
$2428257525121/8150625$ |
$[0, -1, 0, -17921, 926721]$ |
\(y^2=x^3-x^2-17921x+926721\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.ba.1.11, 322.6.0.?, $\ldots$ |
$[(131, 900)]$ |
154560.k4 |
154560hx3 |
154560.k |
154560hx |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{18} \cdot 3^{4} \cdot 5 \cdot 7^{4} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$5.087059878$ |
$1$ |
|
$5$ |
$1048576$ |
$1.923313$ |
$470166844956479/272118787605$ |
$[0, -1, 0, 103679, 103681]$ |
\(y^2=x^3-x^2+103679x+103681\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 20.12.0.h.1, 40.24.0-20.h.1.1, $\ldots$ |
$[(3, 644)]$ |
154560.l1 |
154560hy3 |
154560.l |
154560hy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3 \cdot 5^{5} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13762560$ |
$3.179924$ |
$31977203346157644779097608/28589809959375$ |
$[0, -1, 0, -211603201, 1184833483201]$ |
\(y^2=x^3-x^2-211603201x+1184833483201\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 12.12.0-4.c.1.1, 24.24.0-24.y.1.10, $\ldots$ |
$[]$ |
154560.l2 |
154560hy4 |
154560.l |
154560hy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3 \cdot 5^{20} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$13762560$ |
$3.179924$ |
$14720683462954119927368/7416057586669921875$ |
$[0, -1, 0, -16338721, 9151686145]$ |
\(y^2=x^3-x^2-16338721x+9151686145\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0-4.c.1.2, 24.24.0-24.s.1.3, $\ldots$ |
$[]$ |
154560.l3 |
154560hy2 |
154560.l |
154560hy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{10} \cdot 7^{4} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6881280$ |
$2.833351$ |
$62498004782515366780864/59053556337890625$ |
$[0, -1, 0, -13228201, 18507508201]$ |
\(y^2=x^3-x^2-13228201x+18507508201\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0-2.a.1.1, 20.12.0.a.1, 24.24.0-24.b.1.3, $\ldots$ |
$[]$ |
154560.l4 |
154560hy1 |
154560.l |
154560hy |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{6} \cdot 3^{4} \cdot 5^{5} \cdot 7^{2} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3440640$ |
$2.486778$ |
$-443195996177646496576/971300939313403125$ |
$[0, -1, 0, -635356, 426701350]$ |
\(y^2=x^3-x^2-635356x+426701350\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 20.12.0.h.1, 24.24.0-24.y.1.16, $\ldots$ |
$[]$ |
154560.m1 |
154560hz4 |
154560.m |
154560hz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{15} \cdot 3^{4} \cdot 5^{4} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$655360$ |
$1.577999$ |
$1801685643226568/2795664375$ |
$[0, -1, 0, -81121, -8854079]$ |
\(y^2=x^3-x^2-81121x-8854079\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
154560.m2 |
154560hz2 |
154560.m |
154560hz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{12} \cdot 3^{8} \cdot 5^{2} \cdot 7^{2} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$327680$ |
$1.231426$ |
$7767097430464/4251692025$ |
$[0, -1, 0, -6601, -45815]$ |
\(y^2=x^3-x^2-6601x-45815\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 92.12.0.?, 140.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
154560.m3 |
154560hz1 |
154560.m |
154560hz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{6} \cdot 3^{4} \cdot 5 \cdot 7 \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$0.884852$ |
$107009507066176/793349235$ |
$[0, -1, 0, -3956, 96486]$ |
\(y^2=x^3-x^2-3956x+96486\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 140.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
154560.m4 |
154560hz3 |
154560.m |
154560hz |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( - 2^{15} \cdot 3^{16} \cdot 5 \cdot 7 \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$6440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$655360$ |
$1.577999$ |
$56614257100792/34652610405$ |
$[0, -1, 0, 25599, -387135]$ |
\(y^2=x^3-x^2+25599x-387135\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 92.12.0.?, 184.24.0.?, $\ldots$ |
$[]$ |
154560.n1 |
154560dp4 |
154560.n |
154560dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3 \cdot 5^{5} \cdot 7^{16} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$36$ |
$2, 3$ |
$1$ |
$117964800$ |
$4.027901$ |
$5565604209893236690185614401/229307220930246900000$ |
$[0, -1, 0, -2362886401, -44206810293599]$ |
\(y^2=x^3-x^2-2362886401x-44206810293599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
154560.n2 |
154560dp3 |
154560.n |
154560dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{23} \cdot 3^{4} \cdot 5^{20} \cdot 7^{4} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$2760$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$117964800$ |
$4.027901$ |
$157706830105239346386477121/13650704956054687500000$ |
$[0, -1, 0, -720369921, 6863025539745]$ |
\(y^2=x^3-x^2-720369921x+6863025539745\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
154560.n3 |
154560dp2 |
154560.n |
154560dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7 \cdot 23 \) |
\( 2^{28} \cdot 3^{2} \cdot 5^{10} \cdot 7^{8} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$2760$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$3$ |
$58982400$ |
$3.681328$ |
$1567558142704512417614401/274462175610000000000$ |
$[0, -1, 0, -154886401, -619565493599]$ |
\(y^2=x^3-x^2-154886401x-619565493599\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.b.1, 92.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |