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 |
47040.a1 |
47040w1 |
47040.a |
47040w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{32} \cdot 3 \cdot 5^{5} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3010560$ |
$2.768692$ |
$393349474783/153600000$ |
$[0, -1, 0, -3350881, 1347539425]$ |
\(y^2=x^3-x^2-3350881x+1347539425\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[]$ |
47040.a2 |
47040w2 |
47040.a |
47040w |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{25} \cdot 3^{2} \cdot 5^{10} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6021120$ |
$3.115265$ |
$12801408679457/11250000000$ |
$[0, -1, 0, 10698399, 9695621601]$ |
\(y^2=x^3-x^2+10698399x+9695621601\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[]$ |
47040.b1 |
47040es1 |
47040.b |
47040es |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3 \cdot 5^{3} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$2.936935108$ |
$1$ |
|
$5$ |
$430080$ |
$1.767317$ |
$197723452/375$ |
$[0, -1, 0, -167841, 26479041]$ |
\(y^2=x^3-x^2-167841x+26479041\) |
2.3.0.a.1, 56.6.0.c.1, 120.6.0.?, 210.6.0.?, 840.12.0.? |
$[(245, 64)]$ |
47040.b2 |
47040es2 |
47040.b |
47040es |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 5^{6} \cdot 7^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1.468467554$ |
$1$ |
|
$7$ |
$860160$ |
$2.113892$ |
$-30138446/140625$ |
$[0, -1, 0, -112961, 44029665]$ |
\(y^2=x^3-x^2-112961x+44029665\) |
2.3.0.a.1, 56.6.0.b.1, 120.6.0.?, 420.6.0.?, 840.12.0.? |
$[(293, 6000)]$ |
47040.c1 |
47040dy1 |
47040.c |
47040dy |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{31} \cdot 3^{2} \cdot 5^{5} \cdot 7^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$599040$ |
$2.017265$ |
$-1231272543361/230400000$ |
$[0, -1, 0, -191361, -37001439]$ |
\(y^2=x^3-x^2-191361x-37001439\) |
40.2.0.a.1 |
$[]$ |
47040.d1 |
47040eq4 |
47040.d |
47040eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{20} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.407783957$ |
$1$ |
|
$3$ |
$2949120$ |
$2.829784$ |
$2394165105226952/854262178245$ |
$[0, -1, 0, -4370081, 2178798945]$ |
\(y^2=x^3-x^2-4370081x+2178798945\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$ |
$[(2595, 91140)]$ |
47040.d2 |
47040eq2 |
47040.d |
47040eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.703891978$ |
$1$ |
|
$9$ |
$1474560$ |
$2.483212$ |
$13507798771700416/3544416225$ |
$[0, -1, 0, -3889881, 2953553625]$ |
\(y^2=x^3-x^2-3889881x+2953553625\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.a.1, $\ldots$ |
$[(153, 48600)]$ |
47040.d3 |
47040eq1 |
47040.d |
47040eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.407783957$ |
$1$ |
|
$3$ |
$737280$ |
$2.136639$ |
$864335783029582144/59535$ |
$[0, -1, 0, -3889636, 2953944106]$ |
\(y^2=x^3-x^2-3889636x+2953944106\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(1239, 5930)]$ |
47040.d4 |
47040eq3 |
47040.d |
47040eq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{5} \cdot 5^{4} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$5.407783957$ |
$1$ |
|
$3$ |
$2949120$ |
$2.829784$ |
$-1141100604753992/875529151875$ |
$[0, -1, 0, -3413601, 3703313601]$ |
\(y^2=x^3-x^2-3413601x+3703313601\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$ |
$[(251, 53500)]$ |
47040.e1 |
47040ep4 |
47040.e |
47040ep |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 5 \cdot 7^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$4.010466033$ |
$1$ |
|
$5$ |
$589824$ |
$1.977812$ |
$2624033547076/324135$ |
$[0, -1, 0, -567681, 164800161]$ |
\(y^2=x^3-x^2-567681x+164800161\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 60.12.0.h.1, 120.24.0.?, $\ldots$ |
$[(443, 244)]$ |
47040.e2 |
47040ep2 |
47040.e |
47040ep |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$2.005233016$ |
$1$ |
|
$11$ |
$294912$ |
$1.631239$ |
$3269383504/893025$ |
$[0, -1, 0, -38481, 2124081]$ |
\(y^2=x^3-x^2-38481x+2124081\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0.a.1, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[(51, 540)]$ |
47040.e3 |
47040ep1 |
47040.e |
47040ep |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$4.010466033$ |
$1$ |
|
$3$ |
$147456$ |
$1.284664$ |
$2508888064/118125$ |
$[0, -1, 0, -13981, -605219]$ |
\(y^2=x^3-x^2-13981x-605219\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(705, 18424)]$ |
47040.e4 |
47040ep3 |
47040.e |
47040ep |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{16} \cdot 3^{12} \cdot 5 \cdot 7^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$4.010466033$ |
$1$ |
|
$5$ |
$589824$ |
$1.977812$ |
$13799183324/18600435$ |
$[0, -1, 0, 98719, 13731201]$ |
\(y^2=x^3-x^2+98719x+13731201\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 70.6.0.a.1, 120.24.0.?, $\ldots$ |
$[(-72, 2499)]$ |
47040.f1 |
47040p4 |
47040.f |
47040p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{5} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2949120$ |
$2.924416$ |
$7347751505995469192/72930375$ |
$[0, -1, 0, -63507201, -194775968799]$ |
\(y^2=x^3-x^2-63507201x-194775968799\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
47040.f2 |
47040p3 |
47040.f |
47040p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{20} \cdot 5^{3} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2949120$ |
$2.924416$ |
$5276930158229192/3050936350875$ |
$[0, -1, 0, -5687201, -157376799]$ |
\(y^2=x^3-x^2-5687201x-157376799\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 140.12.0.?, $\ldots$ |
$[]$ |
47040.f3 |
47040p2 |
47040.f |
47040p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1474560$ |
$2.577843$ |
$14383655824793536/45209390625$ |
$[0, -1, 0, -3972201, -3037547799]$ |
\(y^2=x^3-x^2-3972201x-3037547799\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.2, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
47040.f4 |
47040p1 |
47040.f |
47040p |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5^{12} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$2.231270$ |
$-43927191786304/415283203125$ |
$[0, -1, 0, -144076, -87594674]$ |
\(y^2=x^3-x^2-144076x-87594674\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 84.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
47040.g1 |
47040q4 |
47040.g |
47040q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{12} \cdot 5 \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.099430$ |
$282678688658/18600435$ |
$[0, -1, 0, -340321, -71826719]$ |
\(y^2=x^3-x^2-340321x-71826719\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.1, $\ldots$ |
$[]$ |
47040.g2 |
47040q2 |
47040.g |
47040q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$294912$ |
$1.752855$ |
$4108974916/893025$ |
$[0, -1, 0, -65921, 5169921]$ |
\(y^2=x^3-x^2-65921x+5169921\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 60.12.0-2.a.1.2, $\ldots$ |
$[]$ |
47040.g3 |
47040q1 |
47040.g |
47040q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{3} \cdot 5 \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.406282$ |
$13674725584/945$ |
$[0, -1, 0, -62001, 5962545]$ |
\(y^2=x^3-x^2-62001x+5962545\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.5, $\ldots$ |
$[]$ |
47040.g4 |
47040q3 |
47040.g |
47040q |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 5^{4} \cdot 7^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$2.099430$ |
$22208984782/40516875$ |
$[0, -1, 0, 145759, 31375905]$ |
\(y^2=x^3-x^2+145759x+31375905\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.4, $\ldots$ |
$[]$ |
47040.h1 |
47040eo4 |
47040.h |
47040eo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{12} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$13.43474752$ |
$1$ |
|
$1$ |
$1769472$ |
$2.732090$ |
$60910917333827912/3255076125$ |
$[0, -1, 0, -12852961, -17730783839]$ |
\(y^2=x^3-x^2-12852961x-17730783839\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$ |
$[(8471987/23, 23977875012/23)]$ |
47040.h2 |
47040eo2 |
47040.h |
47040eo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{6} \cdot 7^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$6.717373763$ |
$1$ |
|
$5$ |
$884736$ |
$2.385517$ |
$139927692143296/27348890625$ |
$[0, -1, 0, -847961, -244300839]$ |
\(y^2=x^3-x^2-847961x-244300839\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.a.1, $\ldots$ |
$[(15853, 1992536)]$ |
47040.h3 |
47040eo1 |
47040.h |
47040eo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{3} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$13.43474752$ |
$1$ |
|
$1$ |
$442368$ |
$2.038944$ |
$257307998572864/19456203375$ |
$[0, -1, 0, -259716, 47586330]$ |
\(y^2=x^3-x^2-259716x+47586330\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 40.12.0.bb.1, 56.12.0-4.c.1.5, $\ldots$ |
$[(671519/13, 545880574/13)]$ |
47040.h4 |
47040eo3 |
47040.h |
47040eo |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{3} \cdot 5^{12} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$13.43474752$ |
$1$ |
|
$1$ |
$1769472$ |
$2.732090$ |
$152461584507448/322998046875$ |
$[0, -1, 0, 1745119, -1448008575]$ |
\(y^2=x^3-x^2+1745119x-1448008575\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$ |
$[(4572256/17, 9808712641/17)]$ |
47040.i1 |
47040r4 |
47040.i |
47040r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.885170$ |
$26410345352/10546875$ |
$[0, -1, 0, -97281, 6534081]$ |
\(y^2=x^3-x^2-97281x+6534081\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
47040.i2 |
47040r2 |
47040.i |
47040r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$221184$ |
$1.538595$ |
$20034997696/455625$ |
$[0, -1, 0, -44361, -3510135]$ |
\(y^2=x^3-x^2-44361x-3510135\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 28.12.0-2.a.1.1, $\ldots$ |
$[]$ |
47040.i3 |
47040r1 |
47040.i |
47040r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$110592$ |
$1.192022$ |
$1261112198464/675$ |
$[0, -1, 0, -44116, -3551834]$ |
\(y^2=x^3-x^2-44116x-3551834\) |
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, $\ldots$ |
$[]$ |
47040.i4 |
47040r3 |
47040.i |
47040r |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$168$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.885170$ |
$2863288/13286025$ |
$[0, -1, 0, 4639, -10889535]$ |
\(y^2=x^3-x^2+4639x-10889535\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
47040.j1 |
47040s2 |
47040.j |
47040s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3 \cdot 5^{2} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.408176$ |
$1272112/75$ |
$[0, -1, 0, -401, -2799]$ |
\(y^2=x^3-x^2-401x-2799\) |
2.3.0.a.1, 42.6.0.a.1, 60.6.0.d.1, 140.6.0.?, 420.12.0.? |
$[]$ |
47040.j2 |
47040s1 |
47040.j |
47040s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3^{2} \cdot 5 \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$0.061602$ |
$2048/45$ |
$[0, -1, 0, 19, -195]$ |
\(y^2=x^3-x^2+19x-195\) |
2.3.0.a.1, 60.6.0.d.1, 70.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
47040.k1 |
47040k1 |
47040.k |
47040k |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{2} \cdot 5 \cdot 7^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.884039158$ |
$1$ |
|
$12$ |
$15360$ |
$0.312345$ |
$68782/45$ |
$[0, -1, 0, 159, 225]$ |
\(y^2=x^3-x^2+159x+225\) |
40.2.0.a.1 |
$[(9, 48), (41, 272)]$ |
47040.l1 |
47040b1 |
47040.l |
47040b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5 \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$2.334849225$ |
$1$ |
|
$2$ |
$354816$ |
$1.977184$ |
$-215474070728/3645$ |
$[0, -1, 0, -716641, 233749825]$ |
\(y^2=x^3-x^2-716641x+233749825\) |
40.2.0.a.1 |
$[(475, 540)]$ |
47040.m1 |
47040dw1 |
47040.m |
47040dw |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$129024$ |
$1.413954$ |
$57344/1875$ |
$[0, -1, 0, 3659, -635795]$ |
\(y^2=x^3-x^2+3659x-635795\) |
6.2.0.a.1 |
$[]$ |
47040.n1 |
47040i1 |
47040.n |
47040i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{10} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.398239$ |
$463030539649024/149501953125$ |
$[0, -1, 0, -796021, -181486955]$ |
\(y^2=x^3-x^2-796021x-181486955\) |
2.3.0.a.1, 20.6.0.b.1, 42.6.0.a.1, 420.12.0.? |
$[]$ |
47040.n2 |
47040i2 |
47040.n |
47040i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{14} \cdot 5^{5} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$2.744812$ |
$667990736021936/732392128125$ |
$[0, -1, 0, 2266479, -1242949455]$ |
\(y^2=x^3-x^2+2266479x-1242949455\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[]$ |
47040.o1 |
47040j1 |
47040.o |
47040j |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{5} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$1.342928$ |
$-363080704/94921875$ |
$[0, -1, 0, -1381, 420925]$ |
\(y^2=x^3-x^2-1381x+420925\) |
6.2.0.a.1 |
$[]$ |
47040.p1 |
47040dv1 |
47040.p |
47040dv |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{17} \cdot 3^{14} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5268480$ |
$3.178844$ |
$649381163998/373669453125$ |
$[0, -1, 0, 1643199, -25552880415]$ |
\(y^2=x^3-x^2+1643199x-25552880415\) |
40.2.0.a.1 |
$[]$ |
47040.q1 |
47040eg4 |
47040.q |
47040eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{17} \cdot 3^{4} \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.038919710$ |
$1$ |
|
$5$ |
$147456$ |
$1.388931$ |
$546718898/405$ |
$[0, -1, 0, -42401, -3344319]$ |
\(y^2=x^3-x^2-42401x-3344319\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 28.12.0-4.c.1.2, 40.12.0.v.1, $\ldots$ |
$[(-117, 36)]$ |
47040.q2 |
47040eg3 |
47040.q |
47040eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{17} \cdot 3 \cdot 5^{4} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.038919710$ |
$1$ |
|
$5$ |
$147456$ |
$1.388931$ |
$136835858/1875$ |
$[0, -1, 0, -26721, 1670145]$ |
\(y^2=x^3-x^2-26721x+1670145\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 28.12.0-4.c.1.1, 40.12.0.bb.1, $\ldots$ |
$[(128, 575)]$ |
47040.q3 |
47040eg2 |
47040.q |
47040eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$840$ |
$48$ |
$0$ |
$1.519459855$ |
$1$ |
|
$11$ |
$73728$ |
$1.042358$ |
$470596/225$ |
$[0, -1, 0, -3201, -27999]$ |
\(y^2=x^3-x^2-3201x-27999\) |
2.6.0.a.1, 24.12.0.b.1, 28.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0.b.1, $\ldots$ |
$[(96, 735)]$ |
47040.q4 |
47040eg1 |
47040.q |
47040eg |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5 \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$840$ |
$48$ |
$0$ |
$3.038919710$ |
$1$ |
|
$3$ |
$36864$ |
$0.695785$ |
$21296/15$ |
$[0, -1, 0, 719, -3695]$ |
\(y^2=x^3-x^2+719x-3695\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 30.6.0.a.1, 40.12.0.bb.1, $\ldots$ |
$[(69, 608)]$ |
47040.r1 |
47040e4 |
47040.r |
47040e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3^{4} \cdot 5^{2} \cdot 7^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$168$ |
$48$ |
$0$ |
$0.940063007$ |
$1$ |
|
$23$ |
$393216$ |
$1.932003$ |
$5633270409316/14175$ |
$[0, -1, 0, -732321, 241456545]$ |
\(y^2=x^3-x^2-732321x+241456545\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.3, 28.12.0.h.1, $\ldots$ |
$[(513, 720), (488, 245)]$ |
47040.r2 |
47040e3 |
47040.r |
47040e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{16} \cdot 3 \cdot 5^{8} \cdot 7^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$168$ |
$48$ |
$0$ |
$15.04100811$ |
$1$ |
|
$7$ |
$393216$ |
$1.932003$ |
$30534944836/8203125$ |
$[0, -1, 0, -128641, -12956159]$ |
\(y^2=x^3-x^2-128641x-12956159\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.11, 42.6.0.a.1, $\ldots$ |
$[(-240, 2009), (495, 6664)]$ |
47040.r3 |
47040e2 |
47040.r |
47040e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 5^{4} \cdot 7^{8} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$168$ |
$48$ |
$0$ |
$3.760252028$ |
$1$ |
|
$23$ |
$196608$ |
$1.585428$ |
$5702413264/275625$ |
$[0, -1, 0, -46321, 3688945]$ |
\(y^2=x^3-x^2-46321x+3688945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 28.12.0.a.1, $\ldots$ |
$[(96, 343), (-47, 2400)]$ |
47040.r4 |
47040e1 |
47040.r |
47040e |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{10} \cdot 3 \cdot 5^{2} \cdot 7^{10} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$168$ |
$48$ |
$0$ |
$3.760252028$ |
$1$ |
|
$11$ |
$98304$ |
$1.238855$ |
$4499456/180075$ |
$[0, -1, 0, 1699, 221901]$ |
\(y^2=x^3-x^2+1699x+221901\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.2, 12.12.0.g.1, $\ldots$ |
$[(-44, 245), (201, 2940)]$ |
47040.s1 |
47040dz2 |
47040.s |
47040dz |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{6} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$4.128630232$ |
$1$ |
|
$2$ |
$20736$ |
$0.446490$ |
$-19539165184/46875$ |
$[0, -1, 0, -821, -8805]$ |
\(y^2=x^3-x^2-821x-8805\) |
3.4.0.a.1, 6.8.0.b.1, 168.16.0.? |
$[(678, 17625)]$ |
47040.s2 |
47040dz1 |
47040.s |
47040dz |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1.376210077$ |
$1$ |
|
$2$ |
$6912$ |
$-0.102816$ |
$229376/675$ |
$[0, -1, 0, 19, -69]$ |
\(y^2=x^3-x^2+19x-69\) |
3.4.0.a.1, 6.8.0.b.1, 168.16.0.? |
$[(6, 15)]$ |
47040.t1 |
47040du1 |
47040.t |
47040du |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( - 2^{14} \cdot 3^{11} \cdot 5^{2} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$473088$ |
$2.067001$ |
$3272428544/4428675$ |
$[0, -1, 0, 140859, 23494941]$ |
\(y^2=x^3-x^2+140859x+23494941\) |
6.2.0.a.1 |
$[]$ |
47040.u1 |
47040ee7 |
47040.u |
47040ee |
$8$ |
$12$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 7^{2} \) |
\( 2^{21} \cdot 3^{4} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$840$ |
$384$ |
$5$ |
$15.54060372$ |
$1$ |
|
$1$ |
$1327104$ |
$2.576843$ |
$16778985534208729/81000$ |
$[0, -1, 0, -16725921, -26323353279]$ |
\(y^2=x^3-x^2-16725921x-26323353279\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(107899224/65, 1105413586893/65)]$ |