| 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 |
| 24843.a1 |
24843g2 |
24843.a |
24843g |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.2 |
13B.4.2 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$182520$ |
$1.719862$ |
$-1713910976512/1594323$ |
$1.10592$ |
$4.68887$ |
$[0, -1, 1, -154184, 23372936]$ |
\(y^2+y=x^3-x^2-154184x+23372936\) |
6.2.0.a.1, 13.28.0.a.2, 78.56.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
| 24843.a2 |
24843g1 |
24843.a |
24843g |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3 \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.28.0.1 |
13B.4.1 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$14040$ |
$0.437387$ |
$-28672/3$ |
$0.91239$ |
$2.93581$ |
$[0, -1, 1, -394, -3144]$ |
\(y^2+y=x^3-x^2-394x-3144\) |
6.2.0.a.1, 13.28.0.a.1, 78.56.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
| 24843.b1 |
24843f1 |
24843.b |
24843f |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{8} \cdot 7^{13} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5419008$ |
$3.445942$ |
$1811564780171264/11870974573731$ |
$1.04721$ |
$6.37652$ |
$[0, -1, 1, 21030980, 119267712150]$ |
\(y^2+y=x^3-x^2+21030980x+119267712150\) |
182.2.0.? |
$[]$ |
| 24843.c1 |
24843k2 |
24843.c |
24843k |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{11} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$910$ |
$48$ |
$1$ |
$6.199114852$ |
$1$ |
|
$2$ |
$576000$ |
$2.176113$ |
$-13383627864961024/151263$ |
$1.15507$ |
$5.58313$ |
$[0, -1, 1, -3150814, -2151643908]$ |
\(y^2+y=x^3-x^2-3150814x-2151643908\) |
5.6.0.a.1, 65.12.0.a.1, 70.12.0.a.1, 130.24.0.?, 182.2.0.?, $\ldots$ |
$[(2050, 331)]$ |
| 24843.c2 |
24843k1 |
24843.c |
24843k |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{7} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$910$ |
$48$ |
$1$ |
$1.239822970$ |
$1$ |
|
$4$ |
$115200$ |
$1.371393$ |
$5451776/413343$ |
$1.25184$ |
$3.92768$ |
$[0, -1, 1, 2336, -496182]$ |
\(y^2+y=x^3-x^2+2336x-496182\) |
5.6.0.a.1, 65.12.0.a.2, 70.12.0.a.2, 130.24.0.?, 182.2.0.?, $\ldots$ |
$[(139, 1579)]$ |
| 24843.d1 |
24843o2 |
24843.d |
24843o |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{13} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.56.0.4 |
13B.3.7 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1277640$ |
$2.692818$ |
$-1713910976512/1594323$ |
$1.10592$ |
$5.84253$ |
$[0, 1, 1, -7555032, -8001807082]$ |
\(y^2+y=x^3+x^2-7555032x-8001807082\) |
6.2.0.a.1, 13.56.0-13.a.2.1, 78.112.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
| 24843.d2 |
24843o1 |
24843.d |
24843o |
$2$ |
$13$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3 \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.56.0.2 |
13B.3.4 |
$546$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$98280$ |
$1.410343$ |
$-28672/3$ |
$0.91239$ |
$4.08948$ |
$[0, 1, 1, -19322, 1116938]$ |
\(y^2+y=x^3+x^2-19322x+1116938\) |
6.2.0.a.1, 13.56.0-13.a.1.2, 78.112.1.?, 91.168.2.?, 546.336.9.? |
$[]$ |
| 24843.e1 |
24843i2 |
24843.e |
24843i |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$3.932457007$ |
$1$ |
|
$2$ |
$149760$ |
$1.733589$ |
$22665187/729$ |
$0.93405$ |
$4.53134$ |
$[1, 1, 1, -90672, 10174926]$ |
\(y^2+xy+y=x^3+x^2-90672x+10174926\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[(28, 2753)]$ |
| 24843.e2 |
24843i1 |
24843.e |
24843i |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$7.864914014$ |
$1$ |
|
$1$ |
$74880$ |
$1.387016$ |
$79507/27$ |
$0.86742$ |
$3.97278$ |
$[1, 1, 1, -13777, -405826]$ |
\(y^2+xy+y=x^3+x^2-13777x-405826\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[(-794/5, 5756/5)]$ |
| 24843.f1 |
24843v2 |
24843.f |
24843v |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1048320$ |
$2.706543$ |
$22665187/729$ |
$0.93405$ |
$5.68500$ |
$[1, 0, 0, -4442929, -3503328466]$ |
\(y^2+xy=x^3-4442929x-3503328466\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 24843.f2 |
24843v1 |
24843.f |
24843v |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$524160$ |
$2.359970$ |
$79507/27$ |
$0.86742$ |
$5.12645$ |
$[1, 0, 0, -675074, 137173035]$ |
\(y^2+xy=x^3-675074x+137173035\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 24843.g1 |
24843r2 |
24843.g |
24843r |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{14} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$2184$ |
$192$ |
$6$ |
$0.269376052$ |
$1$ |
|
$6$ |
$60480$ |
$1.363323$ |
$-276301129/4782969$ |
$1.06787$ |
$3.92018$ |
$[1, 0, 0, -3676, 476657]$ |
\(y^2+xy=x^3-3676x+476657\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.48.0.?, 168.32.0.?, $\ldots$ |
$[(11, 656)]$ |
| 24843.g2 |
24843r1 |
24843.g |
24843r |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.8.0.1 |
7B |
$2184$ |
$192$ |
$6$ |
$1.885632370$ |
$1$ |
|
$2$ |
$8640$ |
$0.390368$ |
$-658489/9$ |
$0.91436$ |
$2.98670$ |
$[1, 0, 0, -491, -4278]$ |
\(y^2+xy=x^3-491x-4278\) |
4.2.0.a.1, 7.8.0.a.1, 28.16.0.a.1, 91.48.0.?, 168.32.0.?, $\ldots$ |
$[(67, 481)]$ |
| 24843.h1 |
24843s4 |
24843.h |
24843s |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$2.222595916$ |
$1$ |
|
$4$ |
$193536$ |
$1.937063$ |
$37159393753/1053$ |
$1.11616$ |
$5.07924$ |
$[1, 0, 0, -575702, 168077727]$ |
\(y^2+xy=x^3-575702x+168077727\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 26.6.0.b.1, 28.12.0-4.c.1.1, $\ldots$ |
$[(313, 4153)]$ |
| 24843.h2 |
24843s3 |
24843.h |
24843s |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3 \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$8.890383664$ |
$1$ |
|
$0$ |
$193536$ |
$1.937063$ |
$822656953/85683$ |
$0.96086$ |
$4.70273$ |
$[1, 0, 0, -161652, -22666827]$ |
\(y^2+xy=x^3-161652x-22666827\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 56.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[(-6556/5, 179743/5)]$ |
| 24843.h3 |
24843s2 |
24843.h |
24843s |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1092$ |
$48$ |
$0$ |
$4.445191832$ |
$1$ |
|
$4$ |
$96768$ |
$1.590490$ |
$10218313/1521$ |
$0.91403$ |
$4.26911$ |
$[1, 0, 0, -37437, 2399760]$ |
\(y^2+xy=x^3-37437x+2399760\) |
2.6.0.a.1, 12.12.0.a.1, 28.12.0-2.a.1.1, 52.12.0.b.1, 84.24.0.?, $\ldots$ |
$[(69, 348)]$ |
| 24843.h4 |
24843s1 |
24843.h |
24843s |
$4$ |
$4$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3 \cdot 7^{6} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$8.890383664$ |
$1$ |
|
$1$ |
$48384$ |
$1.243916$ |
$12167/39$ |
$0.85844$ |
$3.75327$ |
$[1, 0, 0, 3968, 205295]$ |
\(y^2+xy=x^3+3968x+205295\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 28.12.0-4.c.1.2, 78.6.0.?, $\ldots$ |
$[(6883/3, 562873/3)]$ |
| 24843.i1 |
24843b2 |
24843.i |
24843b |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$311688$ |
$2.166813$ |
$-205514702848000/27$ |
$1.10656$ |
$5.66858$ |
$[0, -1, 1, -4203593, 3318658475]$ |
\(y^2+y=x^3-x^2-4203593x+3318658475\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 21.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 24843.i2 |
24843b1 |
24843.i |
24843b |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$103896$ |
$1.617506$ |
$-372736000/19683$ |
$0.99494$ |
$4.37092$ |
$[0, -1, 1, -51263, 4683902]$ |
\(y^2+y=x^3-x^2-51263x+4683902\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 21.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 24843.j1 |
24843a2 |
24843.j |
24843a |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$23976$ |
$0.884338$ |
$-205514702848000/27$ |
$1.10656$ |
$4.14791$ |
$[0, -1, 1, -24873, 1518194]$ |
\(y^2+y=x^3-x^2-24873x+1518194\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 273.8.0.?, $\ldots$ |
$[]$ |
| 24843.j2 |
24843a1 |
24843.j |
24843a |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$7992$ |
$0.335032$ |
$-372736000/19683$ |
$0.99494$ |
$2.85025$ |
$[0, -1, 1, -303, 2225]$ |
\(y^2+y=x^3-x^2-303x+2225\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 273.8.0.?, $\ldots$ |
$[]$ |
| 24843.k1 |
24843c1 |
24843.k |
24843c |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{9} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$225792$ |
$2.184120$ |
$32768/9477$ |
$1.07768$ |
$4.89235$ |
$[0, -1, 1, 38645, -65315391]$ |
\(y^2+y=x^3-x^2+38645x-65315391\) |
182.2.0.? |
$[]$ |
| 24843.l1 |
24843p1 |
24843.l |
24843p |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{6} \cdot 7^{3} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.192176140$ |
$1$ |
|
$6$ |
$32256$ |
$1.211164$ |
$32768/9477$ |
$1.07768$ |
$3.73869$ |
$[0, 1, 1, 789, 190649]$ |
\(y^2+y=x^3+x^2+789x+190649\) |
182.2.0.? |
$[(303, 5323)]$ |
| 24843.m1 |
24843m2 |
24843.m |
24843m |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.4 |
3B.1.2 |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$2181816$ |
$3.139767$ |
$-205514702848000/27$ |
$1.10656$ |
$6.82225$ |
$[0, 1, 1, -205976073, -1137887904877]$ |
\(y^2+y=x^3+x^2-205976073x-1137887904877\) |
3.8.0-3.a.1.1, 6.16.0-6.b.1.1, 9.24.0-9.b.1.1, 18.48.0-18.d.1.1, 819.72.0.?, $\ldots$ |
$[]$ |
| 24843.m2 |
24843m1 |
24843.m |
24843m |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.2 |
3B.1.1 |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$2$ |
$727272$ |
$2.590462$ |
$-372736000/19683$ |
$0.99494$ |
$5.52458$ |
$[0, 1, 1, -2511903, -1601554678]$ |
\(y^2+y=x^3+x^2-2511903x-1601554678\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2, 9.24.0-9.b.1.2, 18.48.0-18.d.1.2, 819.72.0.?, $\ldots$ |
$[]$ |
| 24843.n1 |
24843l2 |
24843.n |
24843l |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{3} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$9$ |
$3$ |
$0$ |
$167832$ |
$1.857294$ |
$-205514702848000/27$ |
$1.10656$ |
$5.30158$ |
$[0, 1, 1, -1218793, -518303054]$ |
\(y^2+y=x^3+x^2-1218793x-518303054\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 39.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 24843.n2 |
24843l1 |
24843.n |
24843l |
$2$ |
$3$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 7^{8} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1638$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$55944$ |
$1.307987$ |
$-372736000/19683$ |
$0.99494$ |
$4.00391$ |
$[0, 1, 1, -14863, -733547]$ |
\(y^2+y=x^3+x^2-14863x-733547\) |
3.4.0.a.1, 6.8.0.b.1, 9.12.0.b.1, 18.24.0.d.1, 39.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 24843.o1 |
24843h2 |
24843.o |
24843h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1.062403633$ |
$1$ |
|
$4$ |
$11520$ |
$0.451115$ |
$22665187/729$ |
$0.93405$ |
$3.01066$ |
$[1, 1, 0, -536, 4425]$ |
\(y^2+xy=x^3+x^2-536x+4425\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[(8, 23)]$ |
| 24843.o2 |
24843h1 |
24843.o |
24843h |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{3} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$2.124807267$ |
$1$ |
|
$3$ |
$5760$ |
$0.104541$ |
$79507/27$ |
$0.86742$ |
$2.45211$ |
$[1, 1, 0, -81, -216]$ |
\(y^2+xy=x^3+x^2-81x-216\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[(-4, 10)]$ |
| 24843.p1 |
24843d6 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3 \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.329636$ |
$53297461115137/147$ |
$1.05087$ |
$5.79745$ |
$[1, 1, 0, -6492476, 6364717689]$ |
\(y^2+xy=x^3+x^2-6492476x+6364717689\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[]$ |
| 24843.p2 |
24843d4 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{2} \cdot 7^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$221184$ |
$1.983061$ |
$13027640977/21609$ |
$1.08149$ |
$4.97568$ |
$[1, 1, 0, -405941, 99238560]$ |
\(y^2+xy=x^3+x^2-405941x+99238560\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[]$ |
| 24843.p3 |
24843d3 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{8} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.983061$ |
$6570725617/45927$ |
$1.00160$ |
$4.90805$ |
$[1, 1, 0, -323131, -70406006]$ |
\(y^2+xy=x^3+x^2-323131x-70406006\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[]$ |
| 24843.p4 |
24843d5 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3 \cdot 7^{14} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$442368$ |
$2.329636$ |
$-4354703137/17294403$ |
$1.04266$ |
$5.07116$ |
$[1, 1, 0, -281726, 161271531]$ |
\(y^2+xy=x^3+x^2-281726x+161271531\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[]$ |
| 24843.p5 |
24843d2 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{4} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2184$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$110592$ |
$1.636488$ |
$7189057/3969$ |
$1.14862$ |
$4.23437$ |
$[1, 1, 0, -33296, 487635]$ |
\(y^2+xy=x^3+x^2-33296x+487635\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[]$ |
| 24843.p6 |
24843d1 |
24843.p |
24843d |
$6$ |
$8$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.289915$ |
$103823/63$ |
$0.97868$ |
$3.81565$ |
$[1, 1, 0, 8109, 65304]$ |
\(y^2+xy=x^3+x^2+8109x+65304\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[]$ |
| 24843.q1 |
24843e1 |
24843.q |
24843e |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{4} \cdot 7^{2} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.295372$ |
$17999471/177957$ |
$0.93225$ |
$3.83043$ |
$[1, 1, 0, 3377, 304270]$ |
\(y^2+xy=x^3+x^2+3377x+304270\) |
52.2.0.a.1 |
$[]$ |
| 24843.r1 |
24843n1 |
24843.r |
24843n |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{4} \cdot 7^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$677376$ |
$2.268326$ |
$17999471/177957$ |
$0.93225$ |
$4.98409$ |
$[1, 0, 1, 165447, -103868243]$ |
\(y^2+xy+y=x^3+165447x-103868243\) |
52.2.0.a.1 |
$[]$ |
| 24843.s1 |
24843q2 |
24843.s |
24843q |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{14} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.16.0.1 |
7B.2.1 |
$2184$ |
$192$ |
$6$ |
$2.094870925$ |
$1$ |
|
$2$ |
$786240$ |
$2.645798$ |
$-276301129/4782969$ |
$1.06787$ |
$5.44085$ |
$[1, 0, 1, -621248, 1047836675]$ |
\(y^2+xy+y=x^3-621248x+1047836675\) |
4.2.0.a.1, 7.16.0-7.a.1.2, 28.32.0-28.a.1.2, 91.48.0.?, 168.64.0.?, $\ldots$ |
$[(-1179, 12496)]$ |
| 24843.s2 |
24843q1 |
24843.s |
24843q |
$2$ |
$7$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.2.0.1, 7.16.0.2 |
7B.2.3 |
$2184$ |
$192$ |
$6$ |
$14.66409647$ |
$1$ |
|
$0$ |
$112320$ |
$1.672844$ |
$-658489/9$ |
$0.91436$ |
$4.50737$ |
$[1, 0, 1, -82983, -9315785]$ |
\(y^2+xy+y=x^3-82983x-9315785\) |
4.2.0.a.1, 7.16.0-7.a.1.1, 28.32.0-28.a.1.4, 91.48.0.?, 168.64.0.?, $\ldots$ |
$[(21040331/209, 69987396009/209)]$ |
| 24843.t1 |
24843u2 |
24843.t |
24843u |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{6} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$1.424070$ |
$22665187/729$ |
$0.93405$ |
$4.16433$ |
$[1, 0, 1, -26290, -1596619]$ |
\(y^2+xy+y=x^3-26290x-1596619\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 24843.t2 |
24843u1 |
24843.t |
24843u |
$2$ |
$2$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 3^{3} \cdot 7^{9} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.3.0.1 |
2B, 3Nn |
$1092$ |
$72$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$40320$ |
$1.077496$ |
$79507/27$ |
$0.86742$ |
$3.60578$ |
$[1, 0, 1, -3995, 62129]$ |
\(y^2+xy+y=x^3-3995x+62129\) |
2.3.0.a.1, 3.3.0.a.1, 6.9.0.a.1, 12.18.0.j.1, 39.6.0.b.1, $\ldots$ |
$[]$ |
| 24843.u1 |
24843j2 |
24843.u |
24843j |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{2} \cdot 7^{11} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$910$ |
$48$ |
$1$ |
$26.23387833$ |
$1$ |
|
$0$ |
$7488000$ |
$3.458588$ |
$-13383627864961024/151263$ |
$1.15507$ |
$7.10380$ |
$[0, -1, 1, -532487622, -4729291615735]$ |
\(y^2+y=x^3-x^2-532487622x-4729291615735\) |
5.6.0.a.1, 65.12.0.a.1, 70.12.0.a.1, 130.24.0.?, 182.2.0.?, $\ldots$ |
$[(28181415916953/21148, 137682450983075642773/21148)]$ |
| 24843.u2 |
24843j1 |
24843.u |
24843j |
$2$ |
$5$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{10} \cdot 7^{7} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$910$ |
$48$ |
$1$ |
$5.246775666$ |
$1$ |
|
$0$ |
$1497600$ |
$2.653870$ |
$5451776/413343$ |
$1.25184$ |
$5.44835$ |
$[0, -1, 1, 394728, -1088532313]$ |
\(y^2+y=x^3-x^2+394728x-1088532313\) |
5.6.0.a.1, 65.12.0.a.2, 70.12.0.a.2, 130.24.0.?, 182.2.0.?, $\ldots$ |
$[(21801/4, 2845741/4)]$ |
| 24843.v1 |
24843t1 |
24843.v |
24843t |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 13^{2} \) |
\( - 3^{4} \cdot 7^{9} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$3.513028562$ |
$1$ |
|
$0$ |
$387072$ |
$2.047215$ |
$-2019487744/361179$ |
$0.90207$ |
$4.81808$ |
$[0, 1, 1, -218066, -44917141]$ |
\(y^2+y=x^3+x^2-218066x-44917141\) |
182.2.0.? |
$[(8761/4, 24811/4)]$ |
