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 |
3630.a1 |
3630c3 |
3630.a |
3630c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{5} \cdot 5^{16} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1075200$ |
$3.455013$ |
$680995599504466943307169/52207031250000000$ |
$1.06496$ |
$8.45008$ |
$[1, 1, 0, -221781628, 1271089482832]$ |
\(y^2+xy=x^3+x^2-221781628x+1271089482832\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.1, 24.24.0-8.m.1.3, $\ldots$ |
$[]$ |
3630.a2 |
3630c2 |
3630.a |
3630c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{14} \cdot 3^{10} \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$537600$ |
$3.108437$ |
$201738262891771037089/45727545600000000$ |
$1.05036$ |
$7.45894$ |
$[1, 1, 0, -14784508, 17059530448]$ |
\(y^2+xy=x^3+x^2-14784508x+17059530448\) |
2.6.0.a.1, 8.12.0.b.1, 12.12.0-2.a.1.1, 24.24.0-8.b.1.3, 44.12.0-2.a.1.1, $\ldots$ |
$[]$ |
3630.a3 |
3630c1 |
3630.a |
3630c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{28} \cdot 3^{5} \cdot 5^{4} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$268800$ |
$2.761864$ |
$7220044159551112609/448454983680000$ |
$1.03565$ |
$7.05268$ |
$[1, 1, 0, -4872188, -3912956208]$ |
\(y^2+xy=x^3+x^2-4872188x-3912956208\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 12.12.0-4.c.1.2, 24.24.0-8.m.1.1, $\ldots$ |
$[]$ |
3630.a4 |
3630c4 |
3630.a |
3630c |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{7} \cdot 3^{20} \cdot 5^{4} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1075200$ |
$3.455013$ |
$2371297246710590562911/4084000833203280000$ |
$1.06688$ |
$7.84266$ |
$[1, 1, 0, 33615492, 105466970448]$ |
\(y^2+xy=x^3+x^2+33615492x+105466970448\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
3630.b1 |
3630b1 |
3630.b |
3630b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{11} \cdot 3 \cdot 5 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11616$ |
$1.153090$ |
$63088729/30720$ |
$0.94300$ |
$4.53132$ |
$[1, 1, 0, -4963, -55667]$ |
\(y^2+xy=x^3+x^2-4963x-55667\) |
120.2.0.? |
$[]$ |
3630.c1 |
3630a1 |
3630.c |
3630a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2400$ |
$0.388249$ |
$439632699649/300000$ |
$0.98058$ |
$3.85568$ |
$[1, 1, 0, -783, -8763]$ |
\(y^2+xy=x^3+x^2-783x-8763\) |
120.2.0.? |
$[]$ |
3630.d1 |
3630f1 |
3630.d |
3630f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{7} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.281219785$ |
$1$ |
|
$4$ |
$2016$ |
$0.414505$ |
$53189206081/4218750$ |
$0.96825$ |
$3.59802$ |
$[1, 1, 0, -387, -2889]$ |
\(y^2+xy=x^3+x^2-387x-2889\) |
120.2.0.? |
$[(-13, 19)]$ |
3630.e1 |
3630e1 |
3630.e |
3630e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2 \cdot 3^{5} \cdot 5 \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$3.736132290$ |
$1$ |
|
$2$ |
$5280$ |
$0.985122$ |
$24729001/2430$ |
$0.89161$ |
$4.41707$ |
$[1, 1, 0, -3632, -78294]$ |
\(y^2+xy=x^3+x^2-3632x-78294\) |
120.2.0.? |
$[(-35, 104)]$ |
3630.f1 |
3630d5 |
3630.f |
3630d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{8} \cdot 11^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.46 |
2B |
$2640$ |
$192$ |
$1$ |
$1.048548757$ |
$1$ |
|
$10$ |
$184320$ |
$2.660706$ |
$553808571467029327441/12529687500$ |
$1.04740$ |
$7.58214$ |
$[1, 1, 0, -20701287, 36244390329]$ |
\(y^2+xy=x^3+x^2-20701287x+36244390329\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.n.1.12, 24.48.0-24.by.1.14, 44.24.0-44.h.1.2, $\ldots$ |
$[(1953, 56196)]$ |
3630.f2 |
3630d3 |
3630.f |
3630d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5 \cdot 11^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$2640$ |
$192$ |
$1$ |
$8.388390059$ |
$1$ |
|
$2$ |
$92160$ |
$2.314133$ |
$182864522286982801/463015182960$ |
$1.07501$ |
$6.60424$ |
$[1, 1, 0, -1430827, -657916211]$ |
\(y^2+xy=x^3+x^2-1430827x-657916211\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 24.24.0.by.2, $\ldots$ |
$[(3705, 210083)]$ |
3630.f3 |
3630d4 |
3630.f |
3630d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{12} \cdot 5^{4} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.3 |
2Cs |
$1320$ |
$192$ |
$1$ |
$2.097097514$ |
$1$ |
|
$8$ |
$92160$ |
$2.314133$ |
$135670761487282321/643043610000$ |
$1.02017$ |
$6.56782$ |
$[1, 1, 0, -1295307, 564555501]$ |
\(y^2+xy=x^3+x^2-1295307x+564555501\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 24.48.0-24.h.1.32, 40.48.0-40.i.2.30, 44.48.0-44.c.1.2, $\ldots$ |
$[(17, 23284)]$ |
3630.f4 |
3630d6 |
3630.f |
3630d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{24} \cdot 5^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.56 |
2B |
$2640$ |
$192$ |
$1$ |
$4.194195029$ |
$1$ |
|
$2$ |
$184320$ |
$2.660706$ |
$-15595206456730321/310672490129100$ |
$1.05689$ |
$6.73912$ |
$[1, 1, 0, -629807, 1144738401]$ |
\(y^2+xy=x^3+x^2-629807x+1144738401\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 22.6.0.a.1, 40.48.0-40.cb.1.6, $\ldots$ |
$[(237, 31644)]$ |
3630.f5 |
3630d2 |
3630.f |
3630d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.24 |
2Cs |
$1320$ |
$192$ |
$1$ |
$4.194195029$ |
$1$ |
|
$6$ |
$46080$ |
$1.967560$ |
$119102750067601/68309049600$ |
$1.06441$ |
$5.70922$ |
$[1, 1, 0, -124027, -1641251]$ |
\(y^2+xy=x^3+x^2-124027x-1641251\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.5, 24.48.0-24.h.2.9, 40.48.0-40.i.1.7, $\ldots$ |
$[(438, 5101)]$ |
3630.f6 |
3630d1 |
3630.f |
3630d |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{3} \cdot 5 \cdot 11^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.4 |
2B |
$2640$ |
$192$ |
$1$ |
$8.388390059$ |
$1$ |
|
$1$ |
$23040$ |
$1.620987$ |
$1833318007919/1070530560$ |
$1.04706$ |
$5.20002$ |
$[1, 1, 0, 30853, -185379]$ |
\(y^2+xy=x^3+x^2+30853x-185379\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.8, 24.24.0-8.n.1.8, $\ldots$ |
$[(43975/7, 9247848/7)]$ |
3630.g1 |
3630i2 |
3630.g |
3630i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{3} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$3.970483051$ |
$1$ |
|
$0$ |
$2592$ |
$0.675686$ |
$55025549689/192000$ |
$0.99695$ |
$4.18723$ |
$[1, 0, 1, -1939, -32914]$ |
\(y^2+xy+y=x^3-1939x-32914\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[(-105/2, 41/2)]$ |
3630.g2 |
3630i1 |
3630.g |
3630i |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 11^{4} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$1.323494350$ |
$1$ |
|
$6$ |
$864$ |
$0.126379$ |
$14235529/1080$ |
$1.03525$ |
$3.17956$ |
$[1, 0, 1, -124, 482]$ |
\(y^2+xy+y=x^3-124x+482\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[(4, 5)]$ |
3630.h1 |
3630h2 |
3630.h |
3630h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{15} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$5.282285355$ |
$1$ |
|
$2$ |
$12960$ |
$1.384321$ |
$2711280982499089/732421875000$ |
$1.11982$ |
$4.92034$ |
$[1, 0, 1, -14369, 482876]$ |
\(y^2+xy+y=x^3-14369x+482876\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 120.8.0.?, 1320.16.0.? |
$[(-130, 462)]$ |
3630.h2 |
3630h1 |
3630.h |
3630h |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{5} \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1.760761785$ |
$1$ |
|
$4$ |
$4320$ |
$0.835015$ |
$123286270205329/43200000$ |
$1.01274$ |
$4.54329$ |
$[1, 0, 1, -5129, -141748]$ |
\(y^2+xy+y=x^3-5129x-141748\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 120.8.0.?, 1320.16.0.? |
$[(-42, 22)]$ |
3630.i1 |
3630g1 |
3630.i |
3630g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$118272$ |
$2.411198$ |
$129392980254539/3583180800$ |
$1.02654$ |
$6.59693$ |
$[1, 0, 1, -1402514, -623939164]$ |
\(y^2+xy+y=x^3-1402514x-623939164\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
3630.i2 |
3630g2 |
3630.i |
3630g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 11^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$236544$ |
$2.757771$ |
$1281177907381/765275040000$ |
$1.11234$ |
$6.88037$ |
$[1, 0, 1, 301166, -2042763868]$ |
\(y^2+xy+y=x^3+301166x-2042763868\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
3630.j1 |
3630j1 |
3630.j |
3630j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.172390342$ |
$1$ |
|
$13$ |
$1920$ |
$0.514678$ |
$217190179331/97200$ |
$0.99055$ |
$4.06219$ |
$[1, 0, 1, -1378, 19556]$ |
\(y^2+xy+y=x^3-1378x+19556\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[(10, 77)]$ |
3630.j2 |
3630j2 |
3630.j |
3630j |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.086195171$ |
$1$ |
|
$20$ |
$3840$ |
$0.861252$ |
$-128864147651/147622500$ |
$1.00791$ |
$4.13170$ |
$[1, 0, 1, -1158, 26068]$ |
\(y^2+xy+y=x^3-1158x+26068\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[(-1, 165)]$ |
3630.k1 |
3630k5 |
3630.k |
3630k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2 \cdot 3 \cdot 5^{8} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.899036$ |
$6484907238722641/283593750$ |
$1.00744$ |
$6.19686$ |
$[1, 0, 1, -470088, 124011688]$ |
\(y^2+xy+y=x^3-470088x+124011688\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 24.48.0-24.bj.1.10, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
3630.k2 |
3630k3 |
3630.k |
3630k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{8} \cdot 5 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$1.552464$ |
$179415687049201/1443420$ |
$0.99008$ |
$5.75920$ |
$[1, 0, 1, -142178, -20646232]$ |
\(y^2+xy+y=x^3-142178x-20646232\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 20.12.0-4.c.1.1, 40.48.0-40.cb.1.13, $\ldots$ |
$[]$ |
3630.k3 |
3630k4 |
3630.k |
3630k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$15360$ |
$1.552464$ |
$1834216913521/329422500$ |
$0.96888$ |
$5.20008$ |
$[1, 0, 1, -30858, 1730056]$ |
\(y^2+xy+y=x^3-30858x+1730056\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 24.48.0-24.e.1.2, 40.48.0-40.i.1.14, $\ldots$ |
$[]$ |
3630.k4 |
3630k2 |
3630.k |
3630k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$1320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$7680$ |
$1.205889$ |
$46694890801/3920400$ |
$0.93791$ |
$4.75227$ |
$[1, 0, 1, -9078, -308552]$ |
\(y^2+xy+y=x^3-9078x-308552\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 20.24.0-4.b.1.2, 24.48.0-24.l.1.2, $\ldots$ |
$[]$ |
3630.k5 |
3630k1 |
3630.k |
3630k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{2} \cdot 5 \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.859316$ |
$13651919/126720$ |
$0.92127$ |
$4.09022$ |
$[1, 0, 1, 602, -22024]$ |
\(y^2+xy+y=x^3+602x-22024\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.6, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
3630.k6 |
3630k6 |
3630.k |
3630k |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2 \cdot 3 \cdot 5^{2} \cdot 11^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$2640$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$30720$ |
$1.899036$ |
$13411719834479/32153832150$ |
$1.00277$ |
$5.58249$ |
$[1, 0, 1, 59892, 10006456]$ |
\(y^2+xy+y=x^3+59892x+10006456\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.5, 24.24.0.bn.1, $\ldots$ |
$[]$ |
3630.l1 |
3630l1 |
3630.l |
3630l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{17} \cdot 3^{5} \cdot 5^{7} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$628320$ |
$3.108795$ |
$21571025211960961/2488320000000$ |
$1.06150$ |
$7.51362$ |
$[1, 0, 1, -17166878, -24498325744]$ |
\(y^2+xy+y=x^3-17166878x-24498325744\) |
120.2.0.? |
$[]$ |
3630.m1 |
3630m2 |
3630.m |
3630m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 5 \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$199584$ |
$2.469128$ |
$134766108430924201/283115520$ |
$1.04156$ |
$7.15208$ |
$[1, 0, 1, -6392433, -6221337212]$ |
\(y^2+xy+y=x^3-6392433x-6221337212\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
3630.m2 |
3630m1 |
3630.m |
3630m |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{7} \cdot 3^{9} \cdot 5^{3} \cdot 11^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$66528$ |
$1.919823$ |
$571305535801/314928000$ |
$1.03980$ |
$5.64285$ |
$[1, 0, 1, -103458, -2798732]$ |
\(y^2+xy+y=x^3-103458x-2798732\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
3630.n1 |
3630n3 |
3630.n |
3630n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2 \cdot 3^{20} \cdot 5^{2} \cdot 11^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$11.47193311$ |
$1$ |
|
$0$ |
$76800$ |
$2.266930$ |
$7981893677157049/1917731420550$ |
$1.01586$ |
$6.22220$ |
$[1, 1, 1, -503786, -105462367]$ |
\(y^2+xy+y=x^3+x^2-503786x-105462367\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.5, 88.24.0.?, 264.48.0.? |
$[(-80147/12, 3425359/12)]$ |
3630.n2 |
3630n2 |
3630.n |
3630n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{4} \cdot 11^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$5.735966557$ |
$1$ |
|
$2$ |
$38400$ |
$1.920359$ |
$312341975961049/17862322500$ |
$0.99450$ |
$5.82683$ |
$[1, 1, 1, -171036, 25774233]$ |
\(y^2+xy+y=x^3+x^2-171036x+25774233\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.6, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[(1729/3, 3593/3)]$ |
3630.n3 |
3630n1 |
3630.n |
3630n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 11^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$2.867983278$ |
$1$ |
|
$7$ |
$19200$ |
$1.573784$ |
$299270638153369/1069200$ |
$0.99274$ |
$5.82162$ |
$[1, 1, 1, -168616, 26579609]$ |
\(y^2+xy+y=x^3+x^2-168616x+26579609\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.bb.1.13, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[(219, 355)]$ |
3630.n4 |
3630n4 |
3630.n |
3630n |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2 \cdot 3^{5} \cdot 5^{8} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$11.47193311$ |
$1$ |
|
$0$ |
$76800$ |
$2.266930$ |
$116149984977671/2779502343750$ |
$1.04249$ |
$6.15725$ |
$[1, 1, 1, 122994, 105515169]$ |
\(y^2+xy+y=x^3+x^2+122994x+105515169\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.v.1.6, 88.24.0.?, $\ldots$ |
$[(2388559/6, 3684430465/6)]$ |
3630.o1 |
3630o1 |
3630.o |
3630o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{5} \cdot 11^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.459294226$ |
$1$ |
|
$6$ |
$26400$ |
$1.587196$ |
$439632699649/300000$ |
$0.98058$ |
$5.61089$ |
$[1, 1, 1, -94806, 11189619]$ |
\(y^2+xy+y=x^3+x^2-94806x+11189619\) |
120.2.0.? |
$[(171, 35)]$ |
3630.p1 |
3630p1 |
3630.p |
3630p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{11} \cdot 3 \cdot 5 \cdot 11^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.184341445$ |
$1$ |
|
$6$ |
$1056$ |
$-0.045858$ |
$63088729/30720$ |
$0.94300$ |
$2.77612$ |
$[1, 1, 1, -41, 23]$ |
\(y^2+xy+y=x^3+x^2-41x+23\) |
120.2.0.? |
$[(-1, 8)]$ |
3630.q1 |
3630q1 |
3630.q |
3630q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2 \cdot 3^{5} \cdot 5 \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$480$ |
$-0.213826$ |
$24729001/2430$ |
$0.89161$ |
$2.66187$ |
$[1, 1, 1, -30, 45]$ |
\(y^2+xy+y=x^3+x^2-30x+45\) |
120.2.0.? |
$[]$ |
3630.r1 |
3630r1 |
3630.r |
3630r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{7} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22176$ |
$1.613453$ |
$53189206081/4218750$ |
$0.96825$ |
$5.35322$ |
$[1, 1, 1, -46890, 3610905]$ |
\(y^2+xy+y=x^3+x^2-46890x+3610905\) |
120.2.0.? |
$[]$ |
3630.s1 |
3630s3 |
3630.s |
3630s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 11^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$30720$ |
$1.634941$ |
$455129268177961/4392300$ |
$0.99488$ |
$5.87276$ |
$[1, 1, 1, -193905, -32945373]$ |
\(y^2+xy+y=x^3+x^2-193905x-32945373\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0.h.1, 24.24.0-12.h.1.6, $\ldots$ |
$[]$ |
3630.s2 |
3630s2 |
3630.s |
3630s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$132$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$15360$ |
$1.288368$ |
$119168121961/10890000$ |
$0.94576$ |
$4.86656$ |
$[1, 1, 1, -12405, -493173]$ |
\(y^2+xy+y=x^3+x^2-12405x-493173\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.3, 44.24.0-44.b.1.2, 132.48.0.? |
$[]$ |
3630.s3 |
3630s1 |
3630.s |
3630s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$0.941793$ |
$1263214441/211200$ |
$0.90751$ |
$4.31186$ |
$[1, 1, 1, -2725, 45035]$ |
\(y^2+xy+y=x^3+x^2-2725x+45035\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.ba.1.9, 66.6.0.a.1, 88.24.0.?, $\ldots$ |
$[]$ |
3630.s4 |
3630s4 |
3630.s |
3630s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{2} \cdot 3^{4} \cdot 5^{8} \cdot 11^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.634941$ |
$179310732119/1392187500$ |
$0.99500$ |
$5.22372$ |
$[1, 1, 1, 14215, -2292685]$ |
\(y^2+xy+y=x^3+x^2+14215x-2292685\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 22.6.0.a.1, 24.24.0-24.ba.1.1, 44.24.0-44.g.1.1, $\ldots$ |
$[]$ |
3630.t1 |
3630t1 |
3630.t |
3630t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{16} \cdot 3^{7} \cdot 5^{2} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.062358183$ |
$1$ |
|
$25$ |
$10752$ |
$1.212248$ |
$129392980254539/3583180800$ |
$1.02654$ |
$4.84172$ |
$[1, 0, 0, -11591, 467721]$ |
\(y^2+xy=x^3-11591x+467721\) |
2.3.0.a.1, 12.6.0.f.1, 44.6.0.c.1, 66.6.0.a.1, 132.12.0.? |
$[(46, 157)]$ |
3630.t2 |
3630t2 |
3630.t |
3630t |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.124716367$ |
$1$ |
|
$18$ |
$21504$ |
$1.558823$ |
$1281177907381/765275040000$ |
$1.11234$ |
$5.12517$ |
$[1, 0, 0, 2489, 1534985]$ |
\(y^2+xy=x^3+2489x+1534985\) |
2.3.0.a.1, 12.6.0.f.1, 22.6.0.a.1, 132.12.0.? |
$[(-34, 1205)]$ |
3630.u1 |
3630v2 |
3630.u |
3630v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{3} \cdot 3 \cdot 5^{15} \cdot 11^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$120$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$142560$ |
$2.583271$ |
$2711280982499089/732421875000$ |
$1.11982$ |
$6.67554$ |
$[1, 0, 0, -1738591, -644446879]$ |
\(y^2+xy=x^3-1738591x-644446879\) |
3.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
3630.u2 |
3630v1 |
3630.u |
3630v |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{5} \cdot 11^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$47520$ |
$2.033962$ |
$123286270205329/43200000$ |
$1.01274$ |
$6.29850$ |
$[1, 0, 0, -620551, 188045705]$ |
\(y^2+xy=x^3-620551x+188045705\) |
3.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
3630.v1 |
3630u2 |
3630.v |
3630u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{9} \cdot 3 \cdot 5^{3} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28512$ |
$1.874634$ |
$55025549689/192000$ |
$0.99695$ |
$5.94243$ |
$[1, 0, 0, -234561, 43573641]$ |
\(y^2+xy=x^3-234561x+43573641\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 120.8.0.?, 1320.16.0.? |
$[]$ |
3630.v2 |
3630u1 |
3630.v |
3630u |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9504$ |
$1.325327$ |
$14235529/1080$ |
$1.03525$ |
$4.93476$ |
$[1, 0, 0, -14946, -656820]$ |
\(y^2+xy=x^3-14946x-656820\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 120.8.0.?, 1320.16.0.? |
$[]$ |
3630.w1 |
3630w8 |
3630.w |
3630w |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$1320$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.763113$ |
$16778985534208729/81000$ |
$1.08181$ |
$6.31284$ |
$[1, 0, 0, -645356, 199494120]$ |
\(y^2+xy=x^3-645356x+199494120\) |
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, $\ldots$ |
$[]$ |