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 |
9555.a1 |
9555d2 |
9555.a |
9555d |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{14} \cdot 5^{2} \cdot 7^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$87808$ |
$1.914356$ |
$2901567289447/1554464925$ |
$0.97103$ |
$5.04205$ |
$[1, 1, 1, -101921, 3370268]$ |
\(y^2+xy+y=x^3+x^2-101921x+3370268\) |
2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.? |
$[]$ |
9555.a2 |
9555d1 |
9555.a |
9555d |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{7} \cdot 5 \cdot 7^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$43904$ |
$1.567783$ |
$1383586741207/1848015$ |
$0.92463$ |
$4.96124$ |
$[1, 1, 1, -79626, 8605134]$ |
\(y^2+xy+y=x^3+x^2-79626x+8605134\) |
2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.? |
$[]$ |
9555.b1 |
9555e7 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5^{4} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$147456$ |
$2.162373$ |
$242970740812818720001/24375$ |
$1.04119$ |
$6.39564$ |
$[1, 1, 1, -6370001, 6185446448]$ |
\(y^2+xy+y=x^3+x^2-6370001x+6185446448\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.1, $\ldots$ |
$[]$ |
9555.b2 |
9555e5 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.23 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$73728$ |
$1.815798$ |
$59319456301170001/594140625$ |
$1.01234$ |
$5.48807$ |
$[1, 1, 1, -398126, 96522698]$ |
\(y^2+xy+y=x^3+x^2-398126x+96522698\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 24.48.0.bb.1, 28.24.0-4.b.1.1, $\ldots$ |
$[]$ |
9555.b3 |
9555e8 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3 \cdot 5^{16} \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$147456$ |
$2.162373$ |
$-55150149867714721/5950927734375$ |
$1.01425$ |
$5.49877$ |
$[1, 1, 1, -388571, 101388104]$ |
\(y^2+xy+y=x^3+x^2-388571x+101388104\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.2, $\ldots$ |
$[]$ |
9555.b4 |
9555e3 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{4} \cdot 7^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.8 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$36864$ |
$1.469225$ |
$15551989015681/1445900625$ |
$0.97384$ |
$4.58827$ |
$[1, 1, 1, -25481, 1423694]$ |
\(y^2+xy+y=x^3+x^2-25481x+1423694\) |
2.6.0.a.1, 4.24.0.b.1, 24.48.0.b.1, 28.48.0-4.b.1.1, 40.48.0.b.2, $\ldots$ |
$[]$ |
9555.b5 |
9555e2 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{8} \cdot 5^{2} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.23 |
2Cs |
$21840$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$2$ |
$18432$ |
$1.122652$ |
$168288035761/27720225$ |
$1.01793$ |
$4.09440$ |
$[1, 1, 1, -5636, -140092]$ |
\(y^2+xy+y=x^3+x^2-5636x-140092\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 28.24.0-4.b.1.3, 40.48.0.bc.2, $\ldots$ |
$[]$ |
9555.b6 |
9555e1 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.776078$ |
$147281603041/5265$ |
$0.93867$ |
$4.07985$ |
$[1, 1, 1, -5391, -154596]$ |
\(y^2+xy+y=x^3+x^2-5391x-154596\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
9555.b7 |
9555e4 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{16} \cdot 5 \cdot 7^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.2 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$4$ |
$2$ |
$0$ |
$36864$ |
$1.469225$ |
$1023887723039/2798036865$ |
$1.05353$ |
$4.43483$ |
$[1, 1, 1, 10289, -770722]$ |
\(y^2+xy+y=x^3+x^2+10289x-770722\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
9555.b8 |
9555e6 |
9555.b |
9555e |
$8$ |
$16$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{2} \cdot 5^{2} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.67 |
2B |
$43680$ |
$768$ |
$13$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.815798$ |
$24487529386319/183539412225$ |
$1.01498$ |
$4.90850$ |
$[1, 1, 1, 29644, 6803894]$ |
\(y^2+xy+y=x^3+x^2+29644x+6803894\) |
2.3.0.a.1, 4.12.0.d.1, 8.24.0.q.1, 24.48.0.be.2, 28.24.0-4.d.1.1, $\ldots$ |
$[]$ |
9555.c1 |
9555l3 |
9555.c |
9555l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{12} \cdot 5^{4} \cdot 7^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$2.230141$ |
$1559802282754777489/1481059636875$ |
$0.97830$ |
$5.84480$ |
$[1, 1, 1, -1183890, -495896220]$ |
\(y^2+xy+y=x^3+x^2-1183890x-495896220\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 364.24.0.?, 840.24.0.?, 1560.24.0.?, $\ldots$ |
$[]$ |
9555.c2 |
9555l2 |
9555.c |
9555l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{6} \cdot 5^{2} \cdot 7^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$82944$ |
$1.883568$ |
$718576775407009/362361861225$ |
$0.96651$ |
$5.00651$ |
$[1, 1, 1, -91435, -3854488]$ |
\(y^2+xy+y=x^3+x^2-91435x-3854488\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 364.24.0.?, 420.24.0.?, 780.24.0.?, $\ldots$ |
$[]$ |
9555.c3 |
9555l1 |
9555.c |
9555l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{3} \cdot 5 \cdot 7^{9} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$41472$ |
$1.536995$ |
$117713838907729/1322517105$ |
$0.92830$ |
$4.80912$ |
$[1, 1, 1, -50030, 4244330]$ |
\(y^2+xy+y=x^3+x^2-50030x+4244330\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 210.6.0.?, 420.24.0.?, 728.24.0.?, $\ldots$ |
$[]$ |
9555.c4 |
9555l4 |
9555.c |
9555l |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{3} \cdot 5 \cdot 7^{18} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$165888$ |
$2.230141$ |
$36472485598112591/24291459037755$ |
$1.07485$ |
$5.43500$ |
$[1, 1, 1, 338540, -29309008]$ |
\(y^2+xy+y=x^3+x^2+338540x-29309008\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 364.12.0.?, 390.6.0.?, $\ldots$ |
$[]$ |
9555.d1 |
9555q5 |
9555.d |
9555q |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{6} \cdot 5 \cdot 7^{7} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$21840$ |
$192$ |
$1$ |
$2.225503716$ |
$1$ |
|
$4$ |
$294912$ |
$2.578812$ |
$282352188585428161201/20813369346315$ |
$0.99865$ |
$6.41204$ |
$[1, 0, 0, -6697076, 6669786885]$ |
\(y^2+xy=x^3-6697076x+6669786885\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.2, 24.24.0-8.n.1.7, $\ldots$ |
$[(1516, 565)]$ |
9555.d2 |
9555q3 |
9555.d |
9555q |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{3} \cdot 5^{2} \cdot 7^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$21840$ |
$192$ |
$1$ |
$4.451007433$ |
$1$ |
|
$2$ |
$147456$ |
$2.232239$ |
$11372424889583066401/50586128775$ |
$0.98653$ |
$6.06157$ |
$[1, 0, 0, -2295651, -1338959070]$ |
\(y^2+xy=x^3-2295651x-1338959070\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0-4.c.1.2, 48.24.0-8.n.1.5, $\ldots$ |
$[(-874, 494)]$ |
9555.d3 |
9555q4 |
9555.d |
9555q |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{12} \cdot 5^{2} \cdot 7^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1.112751858$ |
$1$ |
|
$12$ |
$147456$ |
$2.232239$ |
$83339496416030401/18593645841225$ |
$0.97073$ |
$5.52517$ |
$[1, 0, 0, -445901, 89800080]$ |
\(y^2+xy=x^3-445901x+89800080\) |
2.6.0.a.1, 4.12.0.b.1, 20.24.0-4.b.1.2, 24.24.0-4.b.1.2, 28.24.0-4.b.1.1, $\ldots$ |
$[(571, 4345)]$ |
9555.d4 |
9555q2 |
9555.d |
9555q |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{6} \cdot 5^{4} \cdot 7^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$10920$ |
$192$ |
$1$ |
$2.225503716$ |
$1$ |
|
$8$ |
$73728$ |
$1.885664$ |
$2912015927948401/184878500625$ |
$0.94885$ |
$5.15919$ |
$[1, 0, 0, -145776, -20225745]$ |
\(y^2+xy=x^3-145776x-20225745\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0-4.b.1.3, 28.24.0-4.b.1.3, 40.24.0-4.b.1.5, $\ldots$ |
$[(-237, 1131)]$ |
9555.d5 |
9555q1 |
9555.d |
9555q |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$21840$ |
$192$ |
$1$ |
$4.451007433$ |
$1$ |
|
$3$ |
$36864$ |
$1.539089$ |
$373092501599/6718359375$ |
$0.94544$ |
$4.55280$ |
$[1, 0, 0, 7349, -1330120]$ |
\(y^2+xy=x^3+7349x-1330120\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0-8.n.1.8, 28.12.0-4.c.1.2, $\ldots$ |
$[(529, 12010)]$ |
9555.d6 |
9555q6 |
9555.d |
9555q |
$6$ |
$8$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{24} \cdot 5 \cdot 7^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$21840$ |
$192$ |
$1$ |
$0.556375929$ |
$1$ |
|
$8$ |
$294912$ |
$2.578812$ |
$949279533867428399/1670570708285115$ |
$0.99398$ |
$5.86846$ |
$[1, 0, 0, 1003274, 552666575]$ |
\(y^2+xy=x^3+1003274x+552666575\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 20.12.0-4.c.1.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(-409, 8804)]$ |
9555.e1 |
9555v2 |
9555.e |
9555v |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{14} \cdot 5^{2} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$0.339416324$ |
$1$ |
|
$10$ |
$12544$ |
$0.941401$ |
$2901567289447/1554464925$ |
$0.97103$ |
$3.76810$ |
$[1, 0, 0, -2080, -10123]$ |
\(y^2+xy=x^3-2080x-10123\) |
2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(-31, 173)]$ |
9555.e2 |
9555v1 |
9555.e |
9555v |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{7} \cdot 5 \cdot 7^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$0.678832648$ |
$1$ |
|
$9$ |
$6272$ |
$0.594828$ |
$1383586741207/1848015$ |
$0.92463$ |
$3.68730$ |
$[1, 0, 0, -1625, -25320]$ |
\(y^2+xy=x^3-1625x-25320\) |
2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(-23, 7)]$ |
9555.f1 |
9555b2 |
9555.f |
9555b |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3 \cdot 5 \cdot 7^{10} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2730$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55944$ |
$1.747768$ |
$-18781210771456/32955$ |
$1.36489$ |
$5.45815$ |
$[0, -1, 1, -363351, 84423317]$ |
\(y^2+y=x^3-x^2-363351x+84423317\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 390.8.0.?, 2730.16.0.? |
$[]$ |
9555.f2 |
9555b1 |
9555.f |
9555b |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{3} \cdot 5^{3} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2730$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$18648$ |
$1.198463$ |
$-12845056/43875$ |
$0.94385$ |
$4.12004$ |
$[0, -1, 1, -3201, 184232]$ |
\(y^2+y=x^3-x^2-3201x+184232\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 390.8.0.?, 2730.16.0.? |
$[]$ |
9555.g1 |
9555a1 |
9555.g |
9555a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3 \cdot 5 \cdot 7^{8} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3864$ |
$0.424310$ |
$229376/195$ |
$0.73706$ |
$3.04538$ |
$[0, -1, 1, 229, -988]$ |
\(y^2+y=x^3-x^2+229x-988\) |
390.2.0.? |
$[]$ |
9555.h1 |
9555h1 |
9555.h |
9555h |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{5} \cdot 5 \cdot 7^{2} \cdot 13^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$241800$ |
$2.384338$ |
$633814853024541310976/367993254509587395$ |
$1.14870$ |
$5.65097$ |
$[0, -1, 1, 654855, -11895892]$ |
\(y^2+y=x^3-x^2+654855x-11895892\) |
390.2.0.? |
$[]$ |
9555.i1 |
9555i1 |
9555.i |
9555i |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{5} \cdot 5^{7} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$88200$ |
$1.911125$ |
$-822083584/246796875$ |
$1.17681$ |
$5.04536$ |
$[0, -1, 1, -12805, 12719853]$ |
\(y^2+y=x^3-x^2-12805x+12719853\) |
390.2.0.? |
$[]$ |
9555.j1 |
9555n1 |
9555.j |
9555n |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{5} \cdot 5 \cdot 7^{8} \cdot 13^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1692600$ |
$3.357292$ |
$633814853024541310976/367993254509587395$ |
$1.14870$ |
$6.92491$ |
$[0, 1, 1, 32087879, 4016115100]$ |
\(y^2+y=x^3+x^2+32087879x+4016115100\) |
390.2.0.? |
$[]$ |
9555.k1 |
9555o1 |
9555.k |
9555o |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{5} \cdot 5^{7} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12600$ |
$0.938169$ |
$-822083584/246796875$ |
$1.17681$ |
$3.77142$ |
$[0, 1, 1, -261, -37159]$ |
\(y^2+y=x^3+x^2-261x-37159\) |
390.2.0.? |
$[]$ |
9555.l1 |
9555s2 |
9555.l |
9555s |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3 \cdot 5 \cdot 7^{4} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$390$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7992$ |
$0.774814$ |
$-18781210771456/32955$ |
$1.36489$ |
$4.18421$ |
$[0, 1, 1, -7415, -248251]$ |
\(y^2+y=x^3+x^2-7415x-248251\) |
3.8.0-3.a.1.1, 390.16.0.? |
$[]$ |
9555.l2 |
9555s1 |
9555.l |
9555s |
$2$ |
$3$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{3} \cdot 5^{3} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$390$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2664$ |
$0.225507$ |
$-12845056/43875$ |
$0.94385$ |
$2.84610$ |
$[0, 1, 1, -65, -556]$ |
\(y^2+y=x^3+x^2-65x-556\) |
3.8.0-3.a.1.2, 390.16.0.? |
$[]$ |
9555.m1 |
9555t1 |
9555.m |
9555t |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552$ |
$-0.548645$ |
$229376/195$ |
$0.73706$ |
$1.77144$ |
$[0, 1, 1, 5, 4]$ |
\(y^2+y=x^3+x^2+5x+4\) |
390.2.0.? |
$[]$ |
9555.n1 |
9555c3 |
9555.n |
9555c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{8} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$1.519079$ |
$24190225473961/2879296875$ |
$0.92052$ |
$4.63647$ |
$[1, 1, 0, -29523, -1752498]$ |
\(y^2+xy=x^3+x^2-29523x-1752498\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 28.12.0-4.c.1.2, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
9555.n2 |
9555c2 |
9555.n |
9555c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$18432$ |
$1.172504$ |
$355045312441/46580625$ |
$0.88810$ |
$4.17586$ |
$[1, 1, 0, -7228, 205003]$ |
\(y^2+xy=x^3+x^2-7228x+205003\) |
2.6.0.a.1, 12.12.0.b.1, 28.12.0-2.a.1.1, 52.12.0-2.a.1.1, 84.24.0.?, $\ldots$ |
$[]$ |
9555.n3 |
9555c1 |
9555.n |
9555c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5^{2} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$0.825932$ |
$320153881321/6825$ |
$0.88340$ |
$4.16457$ |
$[1, 1, 0, -6983, 221712]$ |
\(y^2+xy=x^3+x^2-6983x+221712\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 52.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
9555.n4 |
9555c4 |
9555.n |
9555c |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3 \cdot 5^{2} \cdot 7^{10} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$1.519079$ |
$1301812981559/5143122075$ |
$0.93061$ |
$4.50993$ |
$[1, 1, 0, 11147, 1098028]$ |
\(y^2+xy=x^3+x^2+11147x+1098028\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
9555.o1 |
9555g3 |
9555.o |
9555g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5 \cdot 7^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$6.147878263$ |
$1$ |
|
$0$ |
$18432$ |
$1.228455$ |
$19790357598649/2998905$ |
$0.91596$ |
$4.61457$ |
$[1, 1, 0, -27612, -1777341]$ |
\(y^2+xy=x^3+x^2-27612x-1777341\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 210.6.0.?, $\ldots$ |
$[(5695/2, 421199/2)]$ |
9555.o2 |
9555g4 |
9555.o |
9555g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5^{4} \cdot 7^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1.536969565$ |
$1$ |
|
$2$ |
$18432$ |
$1.228455$ |
$1408317602329/58524375$ |
$0.89699$ |
$4.32620$ |
$[1, 1, 0, -11442, 449121]$ |
\(y^2+xy=x^3+x^2-11442x+449121\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 156.12.0.?, $\ldots$ |
$[(-8, 739)]$ |
9555.o3 |
9555g2 |
9555.o |
9555g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$3.073939131$ |
$1$ |
|
$4$ |
$9216$ |
$0.881880$ |
$6321363049/1863225$ |
$0.99851$ |
$3.73632$ |
$[1, 1, 0, -1887, -22896]$ |
\(y^2+xy=x^3+x^2-1887x-22896\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[(1420, 52798)]$ |
9555.o4 |
9555g1 |
9555.o |
9555g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{4} \cdot 5 \cdot 7^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$6.147878263$ |
$1$ |
|
$1$ |
$4608$ |
$0.535307$ |
$30080231/36855$ |
$0.80519$ |
$3.16489$ |
$[1, 1, 0, 318, -2169]$ |
\(y^2+xy=x^3+x^2+318x-2169\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 168.12.0.?, 312.12.0.?, $\ldots$ |
$[(3190/3, 175927/3)]$ |
9555.p1 |
9555j2 |
9555.p |
9555j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2816$ |
$0.198686$ |
$37360194607/2925$ |
$0.89415$ |
$3.29320$ |
$[1, 1, 0, -487, -4346]$ |
\(y^2+xy=x^3+x^2-487x-4346\) |
2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.? |
$[]$ |
9555.p2 |
9555j1 |
9555.p |
9555j |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5 \cdot 7^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1408$ |
$-0.147887$ |
$11089567/2535$ |
$0.80282$ |
$2.40695$ |
$[1, 1, 0, -32, -69]$ |
\(y^2+xy=x^3+x^2-32x-69\) |
2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.? |
$[]$ |
9555.q1 |
9555k3 |
9555.q |
9555k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5^{4} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$49152$ |
$1.536436$ |
$9219915604149769/511875$ |
$0.95368$ |
$5.28495$ |
$[1, 1, 0, -214057, 38030014]$ |
\(y^2+xy=x^3+x^2-214057x+38030014\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 280.24.0.?, 364.24.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
9555.q2 |
9555k2 |
9555.q |
9555k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{4} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1820$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$24576$ |
$1.189861$ |
$2263054145689/16769025$ |
$0.89990$ |
$4.37796$ |
$[1, 1, 0, -13402, 587791]$ |
\(y^2+xy=x^3+x^2-13402x+587791\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 140.24.0.?, 260.24.0.?, 364.24.0.?, $\ldots$ |
$[]$ |
9555.q3 |
9555k4 |
9555.q |
9555k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( - 3^{8} \cdot 5 \cdot 7^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$49152$ |
$1.536436$ |
$-105756712489/6558605235$ |
$0.95735$ |
$4.55476$ |
$[1, 1, 0, -4827, 1340676]$ |
\(y^2+xy=x^3+x^2-4827x+1340676\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 70.6.0.a.1, 140.24.0.?, 520.24.0.?, $\ldots$ |
$[]$ |
9555.q4 |
9555k1 |
9555.q |
9555k |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5 \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$3640$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.843288$ |
$2565726409/1404585$ |
$1.03680$ |
$3.63793$ |
$[1, 1, 0, -1397, -5256]$ |
\(y^2+xy=x^3+x^2-1397x-5256\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 130.6.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
9555.r1 |
9555p2 |
9555.r |
9555p |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{2} \cdot 5^{2} \cdot 7^{9} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$2.886015722$ |
$1$ |
|
$2$ |
$19712$ |
$1.171640$ |
$37360194607/2925$ |
$0.89415$ |
$4.56715$ |
$[1, 0, 1, -23889, 1419037]$ |
\(y^2+xy+y=x^3-23889x+1419037\) |
2.3.0.a.1, 364.6.0.?, 420.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(83, 57)]$ |
9555.r2 |
9555p1 |
9555.r |
9555p |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3 \cdot 5 \cdot 7^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$5.772031444$ |
$1$ |
|
$1$ |
$9856$ |
$0.825068$ |
$11089567/2535$ |
$0.80282$ |
$3.68089$ |
$[1, 0, 1, -1594, 18911]$ |
\(y^2+xy+y=x^3-1594x+18911\) |
2.3.0.a.1, 210.6.0.?, 364.6.0.?, 780.6.0.?, 5460.12.0.? |
$[(79/3, 1892/3)]$ |
9555.s1 |
9555u3 |
9555.s |
9555u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{5} \cdot 5^{4} \cdot 7^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$92160$ |
$1.995369$ |
$531301262949272089/4740474375$ |
$0.97353$ |
$5.72729$ |
$[1, 0, 1, -826803, -289434869]$ |
\(y^2+xy+y=x^3-826803x-289434869\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
9555.s2 |
9555u2 |
9555.s |
9555u |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 7^{2} \cdot 13 \) |
\( 3^{10} \cdot 5^{2} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$46080$ |
$1.648796$ |
$138742439989609/12224619225$ |
$0.93130$ |
$4.82706$ |
$[1, 0, 1, -52848, -4309847]$ |
\(y^2+xy+y=x^3-52848x-4309847\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[]$ |