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 |
162240.a1 |
162240dh1 |
162240.a |
162240dh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$6.638990539$ |
$1$ |
|
$0$ |
$322560$ |
$0.930363$ |
$-22478848/10935$ |
$[0, -1, 0, -1941, -44019]$ |
\(y^2=x^3-x^2-1941x-44019\) |
390.2.0.? |
$[(2084/5, 75673/5)]$ |
162240.b1 |
162240hn1 |
162240.b |
162240hn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.011434152$ |
$1$ |
|
$2$ |
$46080$ |
$0.087875$ |
$-18264064/675$ |
$[0, -1, 0, -121, 571]$ |
\(y^2=x^3-x^2-121x+571\) |
6.2.0.a.1 |
$[(6, 5)]$ |
162240.c1 |
162240ho3 |
162240.c |
162240ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{3} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$3.951058704$ |
$1$ |
|
$5$ |
$2949120$ |
$2.194687$ |
$26410345352/10546875$ |
$[0, -1, 0, -335521, 41756545]$ |
\(y^2=x^3-x^2-335521x+41756545\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 24.24.0.bi.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(1128, 33125)]$ |
162240.c2 |
162240ho2 |
162240.c |
162240ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$312$ |
$48$ |
$0$ |
$1.975529352$ |
$1$ |
|
$13$ |
$1474560$ |
$1.848116$ |
$20034997696/455625$ |
$[0, -1, 0, -153001, -22526999]$ |
\(y^2=x^3-x^2-153001x-22526999\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0.a.1, 24.24.0.f.1, 52.12.0-2.a.1.1, $\ldots$ |
$[(-225, 676)]$ |
162240.c3 |
162240ho1 |
162240.c |
162240ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$312$ |
$48$ |
$0$ |
$3.951058704$ |
$1$ |
|
$3$ |
$737280$ |
$1.501541$ |
$1261112198464/675$ |
$[0, -1, 0, -152156, -22793850]$ |
\(y^2=x^3-x^2-152156x-22793850\) |
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, $\ldots$ |
$[(451, 338)]$ |
162240.c4 |
162240ho4 |
162240.c |
162240ho |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$312$ |
$48$ |
$0$ |
$3.951058704$ |
$1$ |
|
$5$ |
$2949120$ |
$2.194687$ |
$2863288/13286025$ |
$[0, -1, 0, 15999, -69745599]$ |
\(y^2=x^3-x^2+15999x-69745599\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0.n.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1075, 34476)]$ |
162240.d1 |
162240hp4 |
162240.d |
162240hp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{4} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$3.251302559$ |
$1$ |
|
$5$ |
$983040$ |
$1.698452$ |
$546718898/405$ |
$[0, -1, 0, -146241, -21462975]$ |
\(y^2=x^3-x^2-146241x-21462975\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-216, 27)]$ |
162240.d2 |
162240hp3 |
162240.d |
162240hp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3 \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$3.251302559$ |
$1$ |
|
$5$ |
$983040$ |
$1.698452$ |
$136835858/1875$ |
$[0, -1, 0, -92161, 10671361]$ |
\(y^2=x^3-x^2-92161x+10671361\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(291, 2900)]$ |
162240.d3 |
162240hp2 |
162240.d |
162240hp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1.625651279$ |
$1$ |
|
$11$ |
$491520$ |
$1.351877$ |
$470596/225$ |
$[0, -1, 0, -11041, -182495]$ |
\(y^2=x^3-x^2-11041x-182495\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 60.12.0.b.1, $\ldots$ |
$[(-56, 507)]$ |
162240.d4 |
162240hp1 |
162240.d |
162240hp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3 \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$3.251302559$ |
$1$ |
|
$3$ |
$245760$ |
$1.005304$ |
$21296/15$ |
$[0, -1, 0, 2479, -22959]$ |
\(y^2=x^3-x^2+2479x-22959\) |
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, $\ldots$ |
$[(73, 736)]$ |
162240.e1 |
162240hq3 |
162240.e |
162240hq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{23} \cdot 3 \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$17.42669091$ |
$1$ |
|
$1$ |
$41287680$ |
$3.519459$ |
$71647584155243142409/10140000$ |
$[0, -1, 0, -935892481, 11020450420225]$ |
\(y^2=x^3-x^2-935892481x+11020450420225\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.s.1, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(2953356384/395, 18172030436573/395)]$ |
162240.e2 |
162240hq4 |
162240.e |
162240hq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{23} \cdot 3^{4} \cdot 5 \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$17.42669091$ |
$1$ |
|
$1$ |
$41287680$ |
$3.519459$ |
$26465989780414729/10571870144160$ |
$[0, -1, 0, -67151361, 117900961281]$ |
\(y^2=x^3-x^2-67151361x+117900961281\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.y.1, 40.12.0.v.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(5568096/115, 455508563931/115)]$ |
162240.e3 |
162240hq2 |
162240.e |
162240hq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{28} \cdot 3^{2} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$8.713345455$ |
$1$ |
|
$3$ |
$20643840$ |
$3.172886$ |
$17496824387403529/6580454400$ |
$[0, -1, 0, -58498561, 172176514561]$ |
\(y^2=x^3-x^2-58498561x+172176514561\) |
2.6.0.a.1, 24.12.0.b.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 60.12.0.b.1, $\ldots$ |
$[(22624/5, 43297293/5)]$ |
162240.e4 |
162240hq1 |
162240.e |
162240hq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{38} \cdot 3 \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$17.42669091$ |
$1$ |
|
$1$ |
$10321920$ |
$2.826313$ |
$-2656166199049/2658140160$ |
$[0, -1, 0, -3120641, 3506445825]$ |
\(y^2=x^3-x^2-3120641x+3506445825\) |
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, $\ldots$ |
$[(77494141/470, 5143946563639/470)]$ |
162240.f1 |
162240hr2 |
162240.f |
162240hr |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.395105135$ |
$1$ |
|
$13$ |
$258048$ |
$0.878386$ |
$131096512/18225$ |
$[0, -1, 0, -2201, 35385]$ |
\(y^2=x^3-x^2-2201x+35385\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(8, 135), (48, 195)]$ |
162240.f2 |
162240hr1 |
162240.f |
162240hr |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$9.580420543$ |
$1$ |
|
$5$ |
$129024$ |
$0.531813$ |
$150568768/16875$ |
$[0, -1, 0, -576, -4590]$ |
\(y^2=x^3-x^2-576x-4590\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(35, 130), (157/2, 1425/2)]$ |
162240.g1 |
162240di2 |
162240.g |
162240di |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{10} \cdot 5^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.075378291$ |
$1$ |
|
$3$ |
$1843200$ |
$1.863247$ |
$7824392006186/7381125$ |
$[0, -1, 0, -273121, 54985345]$ |
\(y^2=x^3-x^2-273121x+54985345\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(311, 168)]$ |
162240.g2 |
162240di1 |
162240.g |
162240di |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 5^{6} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.037689145$ |
$1$ |
|
$5$ |
$921600$ |
$1.516672$ |
$-1735192372/3796875$ |
$[0, -1, 0, -13121, 1269345]$ |
\(y^2=x^3-x^2-13121x+1269345\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(61, 832)]$ |
162240.h1 |
162240dj4 |
162240.h |
162240dj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.088795$ |
$428320044872/73125$ |
$[0, -1, 0, -849281, -300921375]$ |
\(y^2=x^3-x^2-849281x-300921375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.11, 52.12.0-4.c.1.1, $\ldots$ |
$[]$ |
162240.h2 |
162240dj3 |
162240.h |
162240dj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{2} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2064384$ |
$2.088795$ |
$33324076232/1285245$ |
$[0, -1, 0, -362561, 81299841]$ |
\(y^2=x^3-x^2-362561x+81299841\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.v.1.5, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
162240.h3 |
162240dj2 |
162240.h |
162240dj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1032192$ |
$1.742222$ |
$1111934656/342225$ |
$[0, -1, 0, -58361, -3693639]$ |
\(y^2=x^3-x^2-58361x-3693639\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.2, 40.24.0-40.a.1.5, 52.12.0-2.a.1.1, $\ldots$ |
$[]$ |
162240.h4 |
162240dj1 |
162240.h |
162240dj |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$516096$ |
$1.395647$ |
$367061696/426465$ |
$[0, -1, 0, 10084, -394590]$ |
\(y^2=x^3-x^2+10084x-394590\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.3, 104.24.0.?, $\ldots$ |
$[]$ |
162240.i1 |
162240dk1 |
162240.i |
162240dk |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$10.61383703$ |
$1$ |
|
$1$ |
$23482368$ |
$3.318504$ |
$621217777580032/74733890625$ |
$[0, -1, 0, -39364381, -84592286819]$ |
\(y^2=x^3-x^2-39364381x-84592286819\) |
2.3.0.a.1, 12.6.0.f.1, 26.6.0.b.1, 156.12.0.? |
$[(30250501/59, 98394223500/59)]$ |
162240.i2 |
162240dk2 |
162240.i |
162240dk |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$21.22767407$ |
$1$ |
|
$1$ |
$46964736$ |
$3.665077$ |
$116227003261808/533935546875$ |
$[0, -1, 0, 56732399, -433250624015]$ |
\(y^2=x^3-x^2+56732399x-433250624015\) |
2.3.0.a.1, 12.6.0.f.1, 52.6.0.c.1, 78.6.0.?, 156.12.0.? |
$[(146671437459/1343, 56389355942762596/1343)]$ |
162240.j1 |
162240hs1 |
162240.j |
162240hs |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{3} \cdot 5^{3} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$6.033479441$ |
$1$ |
|
$2$ |
$7547904$ |
$2.783588$ |
$-2365581049/6750$ |
$[0, -1, 0, -9177601, 10730841601]$ |
\(y^2=x^3-x^2-9177601x+10730841601\) |
3.4.0.a.1, 120.8.0.?, 312.8.0.?, 390.8.0.?, 1560.16.0.? |
$[(-1695, 146336)]$ |
162240.j2 |
162240hs2 |
162240.j |
162240hs |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{21} \cdot 3 \cdot 5^{9} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$18.10043832$ |
$1$ |
|
$0$ |
$22643712$ |
$3.332893$ |
$18573478391/46875000$ |
$[0, -1, 0, 18240959, 54967946305]$ |
\(y^2=x^3-x^2+18240959x+54967946305\) |
3.4.0.a.1, 120.8.0.?, 312.8.0.?, 390.8.0.?, 1560.16.0.? |
$[(33029001/395, 14949383429824/395)]$ |
162240.k1 |
162240dl2 |
162240.k |
162240dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7741440$ |
$2.868763$ |
$7916055336451592/385003125$ |
$[0, -1, 0, -22454241, -40944734559]$ |
\(y^2=x^3-x^2-22454241x-40944734559\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
162240.k2 |
162240dl1 |
162240.k |
162240dl |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{10} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3870720$ |
$2.522186$ |
$-13137573612736/3427734375$ |
$[0, -1, 0, -1329241, -710059559]$ |
\(y^2=x^3-x^2-1329241x-710059559\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
162240.l1 |
162240ht4 |
162240.l |
162240ht |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5^{3} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$7.186583346$ |
$1$ |
|
$1$ |
$9289728$ |
$3.002018$ |
$189208196468929/10860320250$ |
$[0, -1, 0, -12936161, -16992756639]$ |
\(y^2=x^3-x^2-12936161x-16992756639\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 40.6.0.b.1, $\ldots$ |
$[(112129/5, 15407392/5)]$ |
162240.l2 |
162240ht2 |
162240.l |
162240ht |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{6} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$2.395527782$ |
$1$ |
|
$3$ |
$3096576$ |
$2.452713$ |
$967068262369/4928040$ |
$[0, -1, 0, -2228321, 1275402465]$ |
\(y^2=x^3-x^2-2228321x+1275402465\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 40.6.0.b.1, $\ldots$ |
$[(2089, 75712)]$ |
162240.l3 |
162240ht1 |
162240.l |
162240ht |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$4.791055564$ |
$1$ |
|
$3$ |
$1548288$ |
$2.106140$ |
$-24137569/561600$ |
$[0, -1, 0, -65121, 41080545]$ |
\(y^2=x^3-x^2-65121x+41080545\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.13, 40.6.0.c.1, $\ldots$ |
$[(83, 6020)]$ |
162240.l4 |
162240ht3 |
162240.l |
162240ht |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$14.37316669$ |
$1$ |
|
$1$ |
$4644864$ |
$2.655445$ |
$17394111071/411937500$ |
$[0, -1, 0, 583839, -1085124639]$ |
\(y^2=x^3-x^2+583839x-1085124639\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.5, 40.6.0.c.1, $\ldots$ |
$[(38207579/37, 236248127500/37)]$ |
162240.m1 |
162240hu1 |
162240.m |
162240hu |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{5} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.267646192$ |
$1$ |
|
$2$ |
$138240$ |
$0.697958$ |
$-1316978/1215$ |
$[0, -1, 0, -641, -9855]$ |
\(y^2=x^3-x^2-641x-9855\) |
120.2.0.? |
$[(49, 272)]$ |
162240.n1 |
162240dm1 |
162240.n |
162240dm |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{3} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.471166827$ |
$1$ |
|
$12$ |
$110592$ |
$0.860958$ |
$-1316978/10125$ |
$[0, -1, 0, -641, 23841]$ |
\(y^2=x^3-x^2-641x+23841\) |
40.2.0.a.1 |
$[(5, 144), (23, 144)]$ |
162240.o1 |
162240dn1 |
162240.o |
162240dn |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{15} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$14376960$ |
$3.275532$ |
$-143737544704/358722675$ |
$[0, -1, 0, -14318581, -48062433875]$ |
\(y^2=x^3-x^2-14318581x-48062433875\) |
6.2.0.a.1 |
$[]$ |
162240.p1 |
162240hv1 |
162240.p |
162240hv |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.839947290$ |
$1$ |
|
$17$ |
$110592$ |
$0.595907$ |
$202612/45$ |
$[0, -1, 0, -641, 5121]$ |
\(y^2=x^3-x^2-641x+5121\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[(-7, 96), (25, 64)]$ |
162240.p2 |
162240hv2 |
162240.p |
162240hv |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{17} \cdot 3^{4} \cdot 5^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1.839947290$ |
$1$ |
|
$17$ |
$221184$ |
$0.942480$ |
$1143574/2025$ |
$[0, -1, 0, 1439, 29665]$ |
\(y^2=x^3-x^2+1439x+29665\) |
2.3.0.a.1, 40.6.0.e.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[(9, 208), (48, 455)]$ |
162240.q1 |
162240do2 |
162240.q |
162240do |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{2} \cdot 5 \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$6.238533579$ |
$1$ |
|
$3$ |
$368640$ |
$1.250397$ |
$16718302693/90$ |
$[0, -1, 0, -44321, -3576639]$ |
\(y^2=x^3-x^2-44321x-3576639\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(903, 26304)]$ |
162240.q2 |
162240do1 |
162240.q |
162240do |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3 \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$3.119266789$ |
$1$ |
|
$5$ |
$184320$ |
$0.903823$ |
$-3869893/300$ |
$[0, -1, 0, -2721, -57279]$ |
\(y^2=x^3-x^2-2721x-57279\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(71, 320)]$ |
162240.r1 |
162240dp4 |
162240.r |
162240dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{3} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4128768$ |
$2.496704$ |
$10625310339698/3855735$ |
$[0, -1, 0, -3931841, -2998583199]$ |
\(y^2=x^3-x^2-3931841x-2998583199\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
162240.r2 |
162240dp3 |
162240.r |
162240dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{12} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.496704$ |
$1481943889298/34543665$ |
$[0, -1, 0, -2039041, 1098571681]$ |
\(y^2=x^3-x^2-2039041x+1098571681\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
162240.r3 |
162240dp2 |
162240.r |
162240dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.150131$ |
$7793764996/3080025$ |
$[0, -1, 0, -281441, -32268159]$ |
\(y^2=x^3-x^2-281441x-32268159\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.2, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
162240.r4 |
162240dp1 |
162240.r |
162240dp |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{3} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1032192$ |
$1.803558$ |
$253012016/219375$ |
$[0, -1, 0, 56559, -3673359]$ |
\(y^2=x^3-x^2+56559x-3673359\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 78.6.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
162240.s1 |
162240dq3 |
162240.s |
162240dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{4} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1376256$ |
$1.914387$ |
$72929847752/5265$ |
$[0, -1, 0, -470721, 124455681]$ |
\(y^2=x^3-x^2-470721x+124455681\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
162240.s2 |
162240dq2 |
162240.s |
162240dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$688128$ |
$1.567812$ |
$171879616/38025$ |
$[0, -1, 0, -31321, 1687321]$ |
\(y^2=x^3-x^2-31321x+1687321\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 60.12.0-2.a.1.2, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
162240.s3 |
162240dq1 |
162240.s |
162240dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$344064$ |
$1.221239$ |
$379503424/24375$ |
$[0, -1, 0, -10196, -370254]$ |
\(y^2=x^3-x^2-10196x-370254\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[]$ |
162240.s4 |
162240dq4 |
162240.s |
162240dq |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3 \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1376256$ |
$1.914387$ |
$240641848/428415$ |
$[0, -1, 0, 70079, 10265761]$ |
\(y^2=x^3-x^2+70079x+10265761\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 120.24.0.?, 260.12.0.?, $\ldots$ |
$[]$ |
162240.t1 |
162240dr4 |
162240.t |
162240dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{3} \cdot 5^{8} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4128768$ |
$2.640564$ |
$49235161015876/137109375$ |
$[0, -1, 0, -5202721, -4554924479]$ |
\(y^2=x^3-x^2-5202721x-4554924479\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.11, 104.24.0.?, $\ldots$ |
$[]$ |
162240.t2 |
162240dr3 |
162240.t |
162240dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{12} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4128768$ |
$2.640564$ |
$39914580075556/172718325$ |
$[0, -1, 0, -4851201, 4098865185]$ |
\(y^2=x^3-x^2-4851201x+4098865185\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.3, 26.6.0.b.1, $\ldots$ |
$[]$ |
162240.t3 |
162240dr2 |
162240.t |
162240dr |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2064384$ |
$2.293991$ |
$133649126224/77000625$ |
$[0, -1, 0, -457201, -7767215]$ |
\(y^2=x^3-x^2-457201x-7767215\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.3, 52.12.0.b.1, $\ldots$ |
$[]$ |