| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 33282.a1 |
33282p1 |
33282.a |
33282p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{11} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$0.371161514$ |
$1$ |
|
$6$ |
$591360$ |
$2.051231$ |
$-338608873/41796$ |
$0.90085$ |
$4.70505$ |
$1$ |
$[1, -1, 0, -241641, 50420641]$ |
\(y^2+xy=x^3-x^2-241641x+50420641\) |
516.2.0.? |
$[(1817, 73976)]$ |
$1$ |
| 33282.b1 |
33282n1 |
33282.b |
33282n |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 43^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$14.03657943$ |
$1$ |
|
$0$ |
$20805120$ |
$3.800117$ |
$-1687532377/30233088$ |
$1.09909$ |
$6.61828$ |
$1$ |
$[1, -1, 0, -62179443, 1066878785781]$ |
\(y^2+xy=x^3-x^2-62179443x+1066878785781\) |
8.2.0.a.1 |
$[(56227305/19, 420603451851/19)]$ |
$1$ |
| 33282.c1 |
33282l1 |
33282.c |
33282l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{14} \cdot 3^{13} \cdot 43^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$4.526730807$ |
$1$ |
|
$3$ |
$2897664$ |
$3.080711$ |
$778510269523657/1540767744$ |
$1.00479$ |
$6.09322$ |
$1$ |
$[1, -1, 0, -31892823, 69213959325]$ |
\(y^2+xy=x^3-x^2-31892823x+69213959325\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(21966, 3146073)]$ |
$1$ |
| 33282.c2 |
33282l2 |
33282.c |
33282l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{20} \cdot 43^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$9.053461614$ |
$1$ |
|
$0$ |
$5795328$ |
$3.427288$ |
$-230042158153417/1131994839168$ |
$1.03167$ |
$6.19237$ |
$1$ |
$[1, -1, 0, -21242583, 116175127581]$ |
\(y^2+xy=x^3-x^2-21242583x+116175127581\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(1070787/7, 1085637405/7)]$ |
$1$ |
| 33282.d1 |
33282b2 |
33282.d |
33282b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{9} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$2.265813160$ |
$1$ |
|
$4$ |
$42240$ |
$0.959435$ |
$135005697/2$ |
$1.07647$ |
$3.83106$ |
$1$ |
$[1, -1, 0, -12408, 535094]$ |
\(y^2+xy=x^3-x^2-12408x+535094\) |
2.3.0.a.1, 8.6.0.f.1, 516.6.0.?, 1032.12.0.? |
$[(65, -27)]$ |
$1$ |
| 33282.d2 |
33282b1 |
33282.d |
33282b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$1.132906580$ |
$1$ |
|
$7$ |
$21120$ |
$0.612862$ |
$35937/4$ |
$0.85015$ |
$3.04056$ |
$1$ |
$[1, -1, 0, -798, 8000]$ |
\(y^2+xy=x^3-x^2-798x+8000\) |
2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.? |
$[(11, 16)]$ |
$1$ |
| 33282.e1 |
33282i1 |
33282.e |
33282i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 43^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.610747320$ |
$1$ |
|
$14$ |
$80640$ |
$1.319485$ |
$-719292433/2592$ |
$1.01779$ |
$4.03701$ |
$1$ |
$[1, -1, 0, -25308, 1560816]$ |
\(y^2+xy=x^3-x^2-25308x+1560816\) |
8.2.0.a.1 |
$[(183, 1650), (-75, 1779)]$ |
$1$ |
| 33282.f1 |
33282a2 |
33282.f |
33282a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{3} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$10.97475484$ |
$1$ |
|
$0$ |
$605440$ |
$2.290730$ |
$135005697/2$ |
$1.07647$ |
$5.36528$ |
$1$ |
$[1, -1, 0, -2549193, 1567196019]$ |
\(y^2+xy=x^3-x^2-2549193x+1567196019\) |
2.3.0.a.1, 8.6.0.f.1, 516.6.0.?, 1032.12.0.? |
$[(172795/13, 10680714/13)]$ |
$1$ |
| 33282.f2 |
33282a1 |
33282.f |
33282a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 43^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$5.487377420$ |
$1$ |
|
$3$ |
$302720$ |
$1.944155$ |
$35937/4$ |
$0.85015$ |
$4.57478$ |
$1$ |
$[1, -1, 0, -163983, 23011065]$ |
\(y^2+xy=x^3-x^2-163983x+23011065\) |
2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.? |
$[(552, 9747)]$ |
$1$ |
| 33282.g1 |
33282m1 |
33282.g |
33282m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{8} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1.442047318$ |
$1$ |
|
$4$ |
$10752$ |
$0.171780$ |
$-294937/18$ |
$0.85517$ |
$2.57461$ |
$1$ |
$[1, -1, 0, -153, -729]$ |
\(y^2+xy=x^3-x^2-153x-729\) |
8.2.0.a.1 |
$[(15, 6)]$ |
$1$ |
| 33282.h1 |
33282f2 |
33282.h |
33282f |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{20} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$7224$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$5663616$ |
$3.296383$ |
$-6311547390625/9565938$ |
$1.08160$ |
$6.35348$ |
$1$ |
$[1, -1, 0, -78637392, 268776627322]$ |
\(y^2+xy=x^3-x^2-78637392x+268776627322\) |
7.8.0.a.1, 8.2.0.a.1, 21.16.0-7.a.1.1, 56.16.0.a.1, 168.32.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.h2 |
33282f1 |
33282.h |
33282f |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$7224$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$809088$ |
$2.323429$ |
$5375/1152$ |
$1.00631$ |
$4.91536$ |
$1$ |
$[1, -1, 0, 74538, -150552716]$ |
\(y^2+xy=x^3-x^2+74538x-150552716\) |
7.8.0.a.1, 8.2.0.a.1, 21.16.0-7.a.1.2, 56.16.0.a.1, 168.32.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.i1 |
33282g1 |
33282.i |
33282g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2179584$ |
$3.104172$ |
$148877/314928$ |
$1.13644$ |
$5.81565$ |
$1$ |
$[1, -1, 0, 790101, 16340709717]$ |
\(y^2+xy=x^3-x^2+790101x+16340709717\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 33282.j1 |
33282k1 |
33282.j |
33282k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$3.762103416$ |
$1$ |
|
$0$ |
$354816$ |
$1.863737$ |
$1685159/8256$ |
$0.89017$ |
$4.37027$ |
$1$ |
$[1, -1, 0, 41256, -8823168]$ |
\(y^2+xy=x^3-x^2+41256x-8823168\) |
516.2.0.? |
$[(7032/7, 41952/7)]$ |
$1$ |
| 33282.k1 |
33282h1 |
33282.k |
33282h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{14} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1387008$ |
$2.669056$ |
$-115481617/52488$ |
$0.95437$ |
$5.36126$ |
$1$ |
$[1, -1, 0, -2072151, 1534598149]$ |
\(y^2+xy=x^3-x^2-2072151x+1534598149\) |
8.2.0.a.1 |
$[ ]$ |
$1$ |
| 33282.l1 |
33282d1 |
33282.l |
33282d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.3.0.1 |
3Nn |
$516$ |
$48$ |
$3$ |
$1.782939924$ |
$1$ |
|
$2$ |
$190080$ |
$1.491825$ |
$324242703/262144$ |
$1.13961$ |
$3.91520$ |
$1$ |
$[1, -1, 0, 16617, 515357]$ |
\(y^2+xy=x^3-x^2+16617x+515357\) |
3.3.0.a.1, 4.4.0.a.1, 12.24.0.o.1, 129.6.0.?, 516.48.3.? |
$[(97, 1693)]$ |
$1$ |
| 33282.m1 |
33282e1 |
33282.m |
33282e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 43^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$354816$ |
$2.011585$ |
$-37226247219/176128$ |
$0.95713$ |
$4.82210$ |
$1$ |
$[1, -1, 0, -385863, -92536643]$ |
\(y^2+xy=x^3-x^2-385863x-92536643\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 129.8.0.?, 516.16.0.? |
$[ ]$ |
$1$ |
| 33282.m2 |
33282e2 |
33282.m |
33282e |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1064448$ |
$2.560894$ |
$751089429/1272112$ |
$0.95534$ |
$5.14249$ |
$1$ |
$[1, -1, 0, 945417, -491358547]$ |
\(y^2+xy=x^3-x^2+945417x-491358547\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 129.8.0.?, 516.16.0.? |
$[ ]$ |
$1$ |
| 33282.n1 |
33282o2 |
33282.n |
33282o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$516$ |
$96$ |
$2$ |
$3.861632480$ |
$1$ |
|
$0$ |
$30240$ |
$0.712536$ |
$747081097/4096$ |
$0.95830$ |
$3.31763$ |
$1$ |
$[1, -1, 0, -2088, -36032]$ |
\(y^2+xy=x^3-x^2-2088x-36032\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.1, 86.6.0.?, $\ldots$ |
$[(-624/5, 536/5)]$ |
$1$ |
| 33282.n2 |
33282o1 |
33282.n |
33282o |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 43^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$516$ |
$96$ |
$2$ |
$1.287210826$ |
$1$ |
|
$4$ |
$10080$ |
$0.163230$ |
$294937/16$ |
$0.85413$ |
$2.56498$ |
$1$ |
$[1, -1, 0, -153, 733]$ |
\(y^2+xy=x^3-x^2-153x+733\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0.a.2, 86.6.0.?, $\ldots$ |
$[(6, -1)]$ |
$1$ |
| 33282.o1 |
33282c1 |
33282.o |
33282c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.3.0.1 |
3Nn |
$516$ |
$48$ |
$3$ |
$7.478274113$ |
$1$ |
|
$0$ |
$2724480$ |
$2.823120$ |
$324242703/262144$ |
$1.13961$ |
$5.44943$ |
$1$ |
$[1, -1, 0, 3413832, 1528953152]$ |
\(y^2+xy=x^3-x^2+3413832x+1528953152\) |
3.3.0.a.1, 4.4.0.a.1, 12.24.0.o.1, 129.6.0.?, 516.48.3.? |
$[(18179248/37, 77944367944/37)]$ |
$1$ |
| 33282.p1 |
33282j2 |
33282.p |
33282j |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{32} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$13416$ |
$336$ |
$9$ |
$1$ |
$9$ |
$3$ |
$0$ |
$58601088$ |
$4.223572$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$7.19736$ |
$1$ |
$[1, -1, 0, -1360210725, 21751296351903]$ |
\(y^2+xy=x^3-x^2-1360210725x+21751296351903\) |
8.2.0.a.1, 13.28.0.a.2, 39.56.0-13.a.2.1, 104.56.1.?, 312.112.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.p2 |
33282j1 |
33282.p |
33282j |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 43^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$13416$ |
$336$ |
$9$ |
$1$ |
$9$ |
$3$ |
$0$ |
$4507776$ |
$2.941097$ |
$-140246460241/73728$ |
$0.99918$ |
$5.98773$ |
$1$ |
$[1, -1, 0, -22107915, -40022756667]$ |
\(y^2+xy=x^3-x^2-22107915x-40022756667\) |
8.2.0.a.1, 13.28.0.a.1, 39.56.0-13.a.1.1, 104.56.1.?, 312.112.1.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.q1 |
33282bg2 |
33282.q |
33282bg |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{32} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.2 |
13B.4.2 |
$13416$ |
$336$ |
$9$ |
$28.67327304$ |
$1$ |
|
$0$ |
$1362816$ |
$2.342972$ |
$-32663831300214001/5083731656658$ |
$1.05975$ |
$5.03010$ |
$1$ |
$[1, -1, 1, -735647, -273388935]$ |
\(y^2+xy+y=x^3-x^2-735647x-273388935\) |
8.2.0.a.1, 13.28.0.a.2, 104.56.1.?, 559.84.2.?, 1677.168.2.?, $\ldots$ |
$[(60221/4, 14228433/4), (110063/2, 36385671/2)]$ |
$1$ |
| 33282.q2 |
33282bg1 |
33282.q |
33282bg |
$2$ |
$13$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{13} \cdot 3^{8} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 13$ |
8.2.0.1, 13.28.0.1 |
13B.4.1 |
$13416$ |
$336$ |
$9$ |
$0.169664337$ |
$1$ |
|
$30$ |
$104832$ |
$1.060499$ |
$-140246460241/73728$ |
$0.99918$ |
$3.82047$ |
$1$ |
$[1, -1, 1, -11957, 506445]$ |
\(y^2+xy+y=x^3-x^2-11957x+506445\) |
8.2.0.a.1, 13.28.0.a.1, 104.56.1.?, 559.84.2.?, 1677.168.2.?, $\ldots$ |
$[(47, 192), (71, 72)]$ |
$1$ |
| 33282.r1 |
33282t1 |
33282.r |
33282t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 43^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.3.0.1 |
3Nn |
$516$ |
$48$ |
$3$ |
$0.264555071$ |
$1$ |
|
$22$ |
$63360$ |
$0.942519$ |
$324242703/262144$ |
$1.13961$ |
$3.28217$ |
$1$ |
$[1, -1, 1, 1846, -19703]$ |
\(y^2+xy+y=x^3-x^2+1846x-19703\) |
3.3.0.a.1, 4.4.0.a.1, 12.24.0.o.1, 129.6.0.?, 516.48.3.? |
$[(97, 983), (49, 407)]$ |
$1$ |
| 33282.s1 |
33282y2 |
33282.s |
33282y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 43^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.1 |
2Cn, 3B.1.1 |
$516$ |
$96$ |
$2$ |
$7.190035737$ |
$1$ |
|
$2$ |
$1300320$ |
$2.593136$ |
$747081097/4096$ |
$0.95830$ |
$5.48489$ |
$1$ |
$[1, -1, 1, -3861059, 2907266627]$ |
\(y^2+xy+y=x^3-x^2-3861059x+2907266627\) |
2.2.0.a.1, 3.8.0-3.a.1.2, 6.16.0-6.a.1.2, 12.32.0-12.a.1.4, 86.6.0.?, $\ldots$ |
$[(9355/3, 94502/3)]$ |
$1$ |
| 33282.s2 |
33282y1 |
33282.s |
33282y |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.8.0.2 |
2Cn, 3B.1.2 |
$516$ |
$96$ |
$2$ |
$2.396678579$ |
$1$ |
|
$0$ |
$433440$ |
$2.043831$ |
$294937/16$ |
$0.85413$ |
$4.73225$ |
$1$ |
$[1, -1, 1, -283244, -55164193]$ |
\(y^2+xy+y=x^3-x^2-283244x-55164193\) |
2.2.0.a.1, 3.8.0-3.a.1.1, 6.16.0-6.a.1.1, 12.32.0-12.a.2.1, 86.6.0.?, $\ldots$ |
$[(-2309/3, 23789/3)]$ |
$1$ |
| 33282.t1 |
33282u2 |
33282.t |
33282u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$0.376447370$ |
$1$ |
|
$6$ |
$1064448$ |
$2.560894$ |
$-37226247219/176128$ |
$0.95713$ |
$5.45514$ |
$1$ |
$[1, -1, 1, -3472769, 2501962129]$ |
\(y^2+xy+y=x^3-x^2-3472769x+2501962129\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 129.8.0.?, 516.16.0.? |
$[(1559, 28804)]$ |
$1$ |
| 33282.t2 |
33282u1 |
33282.t |
33282u |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 43^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$516$ |
$16$ |
$0$ |
$1.129342110$ |
$1$ |
|
$0$ |
$354816$ |
$2.011585$ |
$751089429/1272112$ |
$0.95534$ |
$4.50945$ |
$1$ |
$[1, -1, 1, 105046, 18163449]$ |
\(y^2+xy+y=x^3-x^2+105046x+18163449\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 129.8.0.?, 516.16.0.? |
$[(-761/3, 80635/3)]$ |
$1$ |
| 33282.u1 |
33282s1 |
33282.u |
33282s |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 43^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.4.0.1, 3.3.0.1 |
3Nn |
$516$ |
$48$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$8173440$ |
$3.372425$ |
$324242703/262144$ |
$1.13961$ |
$6.08246$ |
$1$ |
$[1, -1, 1, 30724486, -41312459591]$ |
\(y^2+xy+y=x^3-x^2+30724486x-41312459591\) |
3.3.0.a.1, 4.4.0.a.1, 12.24.0.o.1, 129.6.0.?, 516.48.3.? |
$[ ]$ |
$1$ |
| 33282.v1 |
33282be4 |
33282.v |
33282be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.64 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$3548160$ |
$2.922981$ |
$18440127492397057/1032$ |
$1.01875$ |
$6.39716$ |
$2$ |
$[1, -1, 1, -91592411, -337371096445]$ |
\(y^2+xy+y=x^3-x^2-91592411x-337371096445\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.6, 1032.48.0.? |
$[ ]$ |
$1$ |
| 33282.v2 |
33282be2 |
33282.v |
33282be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.6 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1774080$ |
$2.576408$ |
$4502751117697/1065024$ |
$1.04479$ |
$5.59837$ |
$1$ |
$[1, -1, 1, -5724851, -5269721389]$ |
\(y^2+xy+y=x^3-x^2-5724851x-5269721389\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.3, 516.24.0.?, 1032.48.0.? |
$[ ]$ |
$1$ |
| 33282.v3 |
33282be3 |
33282.v |
33282be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{10} \cdot 43^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3548160$ |
$2.922981$ |
$-3107661785857/2215383048$ |
$0.98806$ |
$5.63986$ |
$2$ |
$[1, -1, 1, -5059211, -6542158813]$ |
\(y^2+xy+y=x^3-x^2-5059211x-6542158813\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 516.12.0.?, 1032.48.0.? |
$[ ]$ |
$1$ |
| 33282.v4 |
33282be1 |
33282.v |
33282be |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 43^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.54 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$887040$ |
$2.229836$ |
$1532808577/528384$ |
$0.93069$ |
$4.83149$ |
$1$ |
$[1, -1, 1, -399731, -61754029]$ |
\(y^2+xy+y=x^3-x^2-399731x-61754029\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.8, 258.6.0.?, 516.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 33282.w1 |
33282bd1 |
33282.w |
33282bd |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{3} \cdot 3^{14} \cdot 43^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$0.788455$ |
$-115481617/52488$ |
$0.95437$ |
$3.19399$ |
$1$ |
$[1, -1, 1, -1121, -19015]$ |
\(y^2+xy+y=x^3-x^2-1121x-19015\) |
8.2.0.a.1 |
$[ ]$ |
$1$ |
| 33282.x1 |
33282ba2 |
33282.x |
33282ba |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{2} \cdot 3^{7} \cdot 43^{13} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$3612$ |
$96$ |
$2$ |
$25.69373434$ |
$1$ |
|
$0$ |
$17385984$ |
$3.848827$ |
$-23769846831649063249/3261823333284$ |
$1.04406$ |
$7.08496$ |
$1$ |
$[1, -1, 1, -996812888, -12114657249825]$ |
\(y^2+xy+y=x^3-x^2-996812888x-12114657249825\) |
7.24.0.a.2, 28.48.0-7.a.2.3, 516.2.0.?, 903.48.0.?, 3612.96.2.? |
$[(2037701/5, 2641057659/5), (1098581/5, 669649731/5)]$ |
$1$ |
| 33282.x2 |
33282ba1 |
33282.x |
33282ba |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{14} \cdot 3^{13} \cdot 43^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$3612$ |
$96$ |
$2$ |
$0.524361925$ |
$1$ |
|
$16$ |
$2483712$ |
$2.875874$ |
$444369620591/1540767744$ |
$0.99664$ |
$5.53038$ |
$1$ |
$[1, -1, 1, 2645572, 3699696255]$ |
\(y^2+xy+y=x^3-x^2+2645572x+3699696255\) |
7.24.0.a.1, 28.48.0-7.a.1.3, 516.2.0.?, 903.48.0.?, 3612.96.2.? |
$[(269, 66429), (14717, 1789869)]$ |
$1$ |
| 33282.y1 |
33282v1 |
33282.y |
33282v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{4} \cdot 3^{15} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$0.780552059$ |
$1$ |
|
$6$ |
$50688$ |
$1.223574$ |
$148877/314928$ |
$1.13644$ |
$3.64839$ |
$1$ |
$[1, -1, 1, 427, -205635]$ |
\(y^2+xy+y=x^3-x^2+427x-205635\) |
516.2.0.? |
$[(89, 684)]$ |
$1$ |
| 33282.z1 |
33282z2 |
33282.z |
33282z |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{20} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$7224$ |
$96$ |
$2$ |
$17.11933818$ |
$1$ |
|
$0$ |
$131712$ |
$1.415785$ |
$-6311547390625/9565938$ |
$1.08160$ |
$4.18621$ |
$1$ |
$[1, -1, 1, -42530, -3369661]$ |
\(y^2+xy+y=x^3-x^2-42530x-3369661\) |
7.8.0.a.1, 8.2.0.a.1, 56.16.0.a.1, 301.24.0.?, 903.48.0.?, $\ldots$ |
$[(3003/2, 154457/2), (29247/2, 4970231/2)]$ |
$1$ |
| 33282.z2 |
33282z1 |
33282.z |
33282z |
$2$ |
$7$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{7} \cdot 3^{8} \cdot 43^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
8.2.0.1, 7.8.0.1 |
7B |
$7224$ |
$96$ |
$2$ |
$0.349374248$ |
$1$ |
|
$18$ |
$18816$ |
$0.442829$ |
$5375/1152$ |
$1.00631$ |
$2.74810$ |
$1$ |
$[1, -1, 1, 40, 1883]$ |
\(y^2+xy+y=x^3-x^2+40x+1883\) |
7.8.0.a.1, 8.2.0.a.1, 56.16.0.a.1, 301.24.0.?, 903.48.0.?, $\ldots$ |
$[(9, 49), (-9, 31)]$ |
$1$ |
| 33282.ba1 |
33282x1 |
33282.ba |
33282x |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{8} \cdot 43^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.213082071$ |
$1$ |
|
$0$ |
$462336$ |
$2.052380$ |
$-294937/18$ |
$0.85517$ |
$4.74187$ |
$1$ |
$[1, -1, 1, -283244, 61075041]$ |
\(y^2+xy+y=x^3-x^2-283244x+61075041\) |
8.2.0.a.1 |
$[(1853/4, 345723/4)]$ |
$1$ |
| 33282.bb1 |
33282r2 |
33282.bb |
33282r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{3} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$14080$ |
$0.410129$ |
$135005697/2$ |
$1.07647$ |
$3.19802$ |
$1$ |
$[1, -1, 1, -1379, -19359]$ |
\(y^2+xy+y=x^3-x^2-1379x-19359\) |
2.3.0.a.1, 8.6.0.f.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 33282.bb2 |
33282r1 |
33282.bb |
33282r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{3} \cdot 43^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7040$ |
$0.063555$ |
$35937/4$ |
$0.85015$ |
$2.40752$ |
$1$ |
$[1, -1, 1, -89, -267]$ |
\(y^2+xy+y=x^3-x^2-89x-267\) |
2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 33282.bc1 |
33282q2 |
33282.bc |
33282q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2 \cdot 3^{9} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$100$ |
$2, 5$ |
$0$ |
$1816320$ |
$2.840034$ |
$135005697/2$ |
$1.07647$ |
$5.99832$ |
$1$ |
$[1, -1, 1, -22942739, -42291349775]$ |
\(y^2+xy+y=x^3-x^2-22942739x-42291349775\) |
2.3.0.a.1, 8.6.0.f.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 33282.bc2 |
33282q1 |
33282.bc |
33282q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{9} \cdot 43^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$908160$ |
$2.493462$ |
$35937/4$ |
$0.85015$ |
$5.20782$ |
$1$ |
$[1, -1, 1, -1475849, -619822907]$ |
\(y^2+xy+y=x^3-x^2-1475849x-619822907\) |
2.3.0.a.1, 8.6.0.f.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 33282.bd1 |
33282bb1 |
33282.bd |
33282bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{5} \cdot 3^{10} \cdot 43^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3467520$ |
$3.200085$ |
$-719292433/2592$ |
$1.01779$ |
$6.20427$ |
$1$ |
$[1, -1, 1, -46794839, -123581055729]$ |
\(y^2+xy+y=x^3-x^2-46794839x-123581055729\) |
8.2.0.a.1 |
$[ ]$ |
$1$ |
| 33282.be1 |
33282bc1 |
33282.be |
33282bc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 43^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$177408$ |
$1.640409$ |
$912673/516$ |
$0.90862$ |
$4.11831$ |
$1$ |
$[1, -1, 1, -33629, 368673]$ |
\(y^2+xy+y=x^3-x^2-33629x+368673\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 33282.be2 |
33282bc2 |
33282.be |
33282bc |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2 \cdot 3^{8} \cdot 43^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$354816$ |
$1.986984$ |
$56181887/33282$ |
$0.96315$ |
$4.51397$ |
$1$ |
$[1, -1, 1, 132781, 2831541]$ |
\(y^2+xy+y=x^3-x^2+132781x+2831541\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 33282.bf1 |
33282w1 |
33282.bf |
33282w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 43^{2} \) |
\( - 2^{9} \cdot 3^{16} \cdot 43^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$2.131113350$ |
$1$ |
|
$2$ |
$483840$ |
$1.919518$ |
$-1687532377/30233088$ |
$1.09909$ |
$4.45102$ |
$1$ |
$[1, -1, 1, -33629, -13410075]$ |
\(y^2+xy+y=x^3-x^2-33629x-13410075\) |
8.2.0.a.1 |
$[(995, 30120)]$ |
$1$ |
