| 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 |
| 3870.a1 |
3870f1 |
3870.a |
3870f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14400$ |
$1.205528$ |
$-313337384670961/4403200000$ |
$0.95463$ |
$4.84129$ |
$[1, -1, 0, -12735, -556659]$ |
\(y^2+xy=x^3-x^2-12735x-556659\) |
1720.2.0.? |
$[]$ |
| 3870.b1 |
3870b2 |
3870.b |
3870b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$0.911256977$ |
$1$ |
|
$6$ |
$1536$ |
$0.316306$ |
$30459021867/9245000$ |
$0.90382$ |
$3.32108$ |
$[1, -1, 0, -195, -675]$ |
\(y^2+xy=x^3-x^2-195x-675\) |
2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.? |
$[(-5, 15)]$ |
| 3870.b2 |
3870b1 |
3870.b |
3870b |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$0.455628488$ |
$1$ |
|
$9$ |
$768$ |
$-0.030268$ |
$1740992427/68800$ |
$0.85574$ |
$2.97464$ |
$[1, -1, 0, -75, 261]$ |
\(y^2+xy=x^3-x^2-75x+261\) |
2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.? |
$[(3, 6)]$ |
| 3870.c1 |
3870a2 |
3870.c |
3870a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{9} \cdot 3^{9} \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$4.323224926$ |
$1$ |
|
$2$ |
$27648$ |
$1.781956$ |
$3940344055317123/369800000000$ |
$1.01744$ |
$5.54382$ |
$[1, -1, 0, -88845, -9307675]$ |
\(y^2+xy=x^3-x^2-88845x-9307675\) |
2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.? |
$[(2401, 115480)]$ |
| 3870.c2 |
3870a1 |
3870.c |
3870a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$2.161612463$ |
$1$ |
|
$3$ |
$13824$ |
$1.435383$ |
$43121696645763/7045120000$ |
$0.99588$ |
$4.99728$ |
$[1, -1, 0, -19725, 908261]$ |
\(y^2+xy=x^3-x^2-19725x+908261\) |
2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.? |
$[(-137, 1081)]$ |
| 3870.d1 |
3870e1 |
3870.d |
3870e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{5} \cdot 3^{10} \cdot 5^{3} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.612562$ |
$-10091699281/13932000$ |
$0.89938$ |
$3.73395$ |
$[1, -1, 0, -405, -5675]$ |
\(y^2+xy=x^3-x^2-405x-5675\) |
1720.2.0.? |
$[]$ |
| 3870.e1 |
3870d4 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$11.00385370$ |
$1$ |
|
$0$ |
$55296$ |
$2.090031$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.81571$ |
$[1, -1, 0, -2949144, -1948623040]$ |
\(y^2+xy=x^3-x^2-2949144x-1948623040\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.r.1.8, 516.48.0.?, $\ldots$ |
$[(1377919/26, 377400587/26)]$ |
| 3870.e2 |
3870d3 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{24} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$5.501926850$ |
$1$ |
|
$1$ |
$27648$ |
$1.743456$ |
$35198225176082067/18035507200$ |
$0.99251$ |
$5.80889$ |
$[1, -1, 0, -184344, -30404800]$ |
\(y^2+xy=x^3-x^2-184344x-30404800\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.s.1.15, 258.48.0.?, $\ldots$ |
$[(-3971/4, 571/4)]$ |
| 3870.e3 |
3870d2 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$3.667951233$ |
$1$ |
|
$8$ |
$18432$ |
$1.540724$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$5.22541$ |
$[1, -1, 0, -36969, -2578275]$ |
\(y^2+xy=x^3-x^2-36969x-2578275\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.r.1.16, 516.48.0.?, $\ldots$ |
$[(-89, 77)]$ |
| 3870.e4 |
3870d1 |
3870.e |
3870d |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$1.833975616$ |
$1$ |
|
$13$ |
$9216$ |
$1.194151$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$4.61946$ |
$[1, -1, 0, -6969, 175725]$ |
\(y^2+xy=x^3-x^2-6969x+175725\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.s.1.16, 258.48.0.?, $\ldots$ |
$[(-9, 492)]$ |
| 3870.f1 |
3870h1 |
3870.f |
3870h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.839764849$ |
$1$ |
|
$7$ |
$5120$ |
$0.791600$ |
$770842973809/66873600$ |
$0.91571$ |
$4.11117$ |
$[1, -1, 0, -1719, -24867]$ |
\(y^2+xy=x^3-x^2-1719x-24867\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(-21, 51)]$ |
| 3870.f2 |
3870h2 |
3870.f |
3870h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{4} \cdot 3^{16} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.679529698$ |
$1$ |
|
$4$ |
$10240$ |
$1.138174$ |
$1009328859791/8734528080$ |
$0.96292$ |
$4.46286$ |
$[1, -1, 0, 1881, -117747]$ |
\(y^2+xy=x^3-x^2+1881x-117747\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(69, 546)]$ |
| 3870.g1 |
3870i2 |
3870.g |
3870i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{7} \cdot 3^{11} \cdot 5^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.508280377$ |
$1$ |
|
$8$ |
$80640$ |
$2.101295$ |
$503835593418244309249/898614000000$ |
$1.01669$ |
$6.56826$ |
$[1, -1, 0, -1491984, 701818240]$ |
\(y^2+xy=x^3-x^2-1491984x+701818240\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(701, -148)]$ |
| 3870.g2 |
3870i1 |
3870.g |
3870i |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{14} \cdot 3^{16} \cdot 5^{3} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.016560755$ |
$1$ |
|
$7$ |
$40320$ |
$1.754723$ |
$-119305480789133569/5200091136000$ |
$0.98567$ |
$5.56648$ |
$[1, -1, 0, -92304, 11216128]$ |
\(y^2+xy=x^3-x^2-92304x+11216128\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(32, 2864)]$ |
| 3870.h1 |
3870j3 |
3870.h |
3870j |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2 \cdot 3^{6} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.1 |
3B.1.1 |
$15480$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$15552$ |
$1.295921$ |
$-19693718244927649/167968750$ |
$0.97634$ |
$5.33963$ |
$[1, -1, 0, -50634, 4398138]$ |
\(y^2+xy=x^3-x^2-50634x+4398138\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 387.72.0.?, 1720.2.0.?, 5160.16.0.?, $\ldots$ |
$[]$ |
| 3870.h2 |
3870j2 |
3870.h |
3870j |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 43^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$15480$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$5184$ |
$0.746614$ |
$-5168743489/79507000$ |
$0.93532$ |
$3.90687$ |
$[1, -1, 0, -324, 11880]$ |
\(y^2+xy=x^3-x^2-324x+11880\) |
3.24.0-3.a.1.1, 387.72.0.?, 1720.2.0.?, 5160.48.1.?, 15480.144.3.? |
$[]$ |
| 3870.h3 |
3870j1 |
3870.h |
3870j |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{9} \cdot 3^{6} \cdot 5 \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.24.0.3 |
3B.1.2 |
$15480$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1728$ |
$0.197308$ |
$6967871/110080$ |
$0.86938$ |
$3.10108$ |
$[1, -1, 0, 36, -432]$ |
\(y^2+xy=x^3-x^2+36x-432\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 387.72.0.?, 1720.2.0.?, 5160.16.0.?, $\ldots$ |
$[]$ |
| 3870.i1 |
3870c2 |
3870.i |
3870c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$2.140887731$ |
$1$ |
|
$4$ |
$3072$ |
$0.684000$ |
$137627865747/36980$ |
$0.94746$ |
$4.30157$ |
$[1, -1, 0, -2904, -59500]$ |
\(y^2+xy=x^3-x^2-2904x-59500\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-31, 19)]$ |
| 3870.i2 |
3870c1 |
3870.i |
3870c |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$1.070443865$ |
$1$ |
|
$7$ |
$1536$ |
$0.337427$ |
$47832147/17200$ |
$1.02247$ |
$3.33745$ |
$[1, -1, 0, -204, -640]$ |
\(y^2+xy=x^3-x^2-204x-640\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(-4, -8)]$ |
| 3870.j1 |
3870g2 |
3870.j |
3870g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2 \cdot 3^{8} \cdot 5^{3} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1.068607546$ |
$1$ |
|
$6$ |
$4608$ |
$0.953321$ |
$263732349218689/4160250$ |
$0.95326$ |
$4.81753$ |
$[1, -1, 0, -12024, -504482]$ |
\(y^2+xy=x^3-x^2-12024x-504482\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(-63, 34)]$ |
| 3870.j2 |
3870g1 |
3870.j |
3870g |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.534303773$ |
$1$ |
|
$9$ |
$2304$ |
$0.606748$ |
$70393838689/8062500$ |
$0.89632$ |
$3.82145$ |
$[1, -1, 0, -774, -7232]$ |
\(y^2+xy=x^3-x^2-774x-7232\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(-18, 34)]$ |
| 3870.k1 |
3870k3 |
3870.k |
3870k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{12} \cdot 43^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.1 |
2B, 3B.1.1 |
$1032$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$69120$ |
$2.183514$ |
$4465136636671380769/2096375976562500$ |
$1.08124$ |
$5.99618$ |
$[1, -1, 0, -308754, 28762560]$ |
\(y^2+xy=x^3-x^2-308754x+28762560\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.d.1, 24.48.0-24.bx.1.15, $\ldots$ |
$[]$ |
| 3870.k2 |
3870k1 |
3870.k |
3870k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{15} \cdot 5^{4} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.8.0.2 |
2B, 3B.1.2 |
$1032$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.634209$ |
$599437478278595809/33854760000$ |
$0.99177$ |
$5.75310$ |
$[1, -1, 0, -158094, -24154092]$ |
\(y^2+xy=x^3-x^2-158094x-24154092\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.d.1, 24.48.0-24.bx.1.11, $\ldots$ |
$[]$ |
| 3870.k3 |
3870k2 |
3870.k |
3870k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{3} \cdot 3^{24} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.8.0.2 |
2B, 3B.1.2 |
$1032$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$46080$ |
$1.980782$ |
$-502780379797811809/143268096832200$ |
$0.99591$ |
$5.78028$ |
$[1, -1, 0, -149094, -27032292]$ |
\(y^2+xy=x^3-x^2-149094x-27032292\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 8.6.0.a.1, 24.48.0-24.p.1.13, $\ldots$ |
$[]$ |
| 3870.k4 |
3870k4 |
3870.k |
3870k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2 \cdot 3^{12} \cdot 5^{6} \cdot 43^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.8.0.1 |
2B, 3B.1.1 |
$1032$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$4$ |
$138240$ |
$2.530087$ |
$200541749524551119231/144008551960031250$ |
$1.03428$ |
$6.45674$ |
$[1, -1, 0, 1097496, 216918810]$ |
\(y^2+xy=x^3-x^2+1097496x+216918810\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 8.6.0.a.1, 24.48.0-24.p.1.15, $\ldots$ |
$[]$ |
| 3870.l1 |
3870m4 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 43^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$1.251133546$ |
$1$ |
|
$6$ |
$55296$ |
$2.090031$ |
$206956783279200843/12642726098000$ |
$1.00241$ |
$6.02333$ |
$[1, -1, 1, -332723, 69946147]$ |
\(y^2+xy+y=x^3-x^2-332723x+69946147\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.r.1.8, 516.48.0.?, $\ldots$ |
$[(685, 12428)]$ |
| 3870.l2 |
3870m2 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{12} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$3.753400639$ |
$1$ |
|
$8$ |
$18432$ |
$1.540724$ |
$144118734029937784467/37867520$ |
$1.02674$ |
$6.01779$ |
$[1, -1, 1, -327683, 72280451]$ |
\(y^2+xy+y=x^3-x^2-327683x+72280451\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.r.1.16, 516.48.0.?, $\ldots$ |
$[(571, 8146)]$ |
| 3870.l3 |
3870m3 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 43^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$2580$ |
$96$ |
$1$ |
$0.625566773$ |
$1$ |
|
$7$ |
$27648$ |
$1.743456$ |
$1386456968640843/318028000000$ |
$0.98288$ |
$5.41738$ |
$[1, -1, 1, -62723, -4681853]$ |
\(y^2+xy+y=x^3-x^2-62723x-4681853\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 60.48.0-60.s.1.15, 258.48.0.?, $\ldots$ |
$[(-143, 1232)]$ |
| 3870.l4 |
3870m1 |
3870.l |
3870m |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$2580$ |
$96$ |
$1$ |
$1.876700319$ |
$1$ |
|
$13$ |
$9216$ |
$1.194151$ |
$35198225176082067/18035507200$ |
$0.99251$ |
$5.01096$ |
$[1, -1, 1, -20483, 1132931]$ |
\(y^2+xy+y=x^3-x^2-20483x+1132931\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 60.48.0-60.s.1.16, 258.48.0.?, $\ldots$ |
$[(85, -68)]$ |
| 3870.m1 |
3870u1 |
3870.m |
3870u |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{53} \cdot 3^{14} \cdot 5^{9} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8547840$ |
$4.543777$ |
$192203697666261893287480365959/4963160303408775168000000000$ |
$1.09175$ |
$9.41720$ |
$[1, -1, 1, 1082069572, 90485275778687]$ |
\(y^2+xy+y=x^3-x^2+1082069572x+90485275778687\) |
1720.2.0.? |
$[]$ |
| 3870.n1 |
3870t1 |
3870.n |
3870t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2 \cdot 3^{6} \cdot 5^{5} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1720$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1280$ |
$0.280259$ |
$437245479/268750$ |
$0.92772$ |
$3.20635$ |
$[1, -1, 1, 142, 127]$ |
\(y^2+xy+y=x^3-x^2+142x+127\) |
1720.2.0.? |
$[]$ |
| 3870.o1 |
3870r2 |
3870.o |
3870r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{3} \cdot 3^{12} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.698021665$ |
$1$ |
|
$8$ |
$4608$ |
$0.802612$ |
$1481933914201/53916840$ |
$0.91933$ |
$4.19029$ |
$[1, -1, 1, -2138, 37361]$ |
\(y^2+xy+y=x^3-x^2-2138x+37361\) |
2.3.0.a.1, 40.6.0.b.1, 516.6.0.?, 5160.12.0.? |
$[(51, 217)]$ |
| 3870.o2 |
3870r1 |
3870.o |
3870r |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.349010832$ |
$1$ |
|
$11$ |
$2304$ |
$0.456038$ |
$5841725401/1857600$ |
$1.01588$ |
$3.52015$ |
$[1, -1, 1, -338, -1519]$ |
\(y^2+xy+y=x^3-x^2-338x-1519\) |
2.3.0.a.1, 40.6.0.c.1, 258.6.0.?, 5160.12.0.? |
$[(-9, 31)]$ |
| 3870.p1 |
3870q1 |
3870.p |
3870q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{17} \cdot 5^{10} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$4.285791028$ |
$1$ |
|
$5$ |
$84480$ |
$2.312538$ |
$408076159454905367161/1190206406250000$ |
$1.01605$ |
$6.54274$ |
$[1, -1, 1, -1390748, 630032847]$ |
\(y^2+xy+y=x^3-x^2-1390748x+630032847\) |
2.3.0.a.1, 20.6.0.b.1, 258.6.0.?, 2580.12.0.? |
$[(635, 1311)]$ |
| 3870.p2 |
3870q2 |
3870.p |
3870q |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{2} \cdot 3^{28} \cdot 5^{5} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$8.571582057$ |
$1$ |
|
$2$ |
$168960$ |
$2.659111$ |
$-86193969101536367161/725294740213012500$ |
$1.03975$ |
$6.68662$ |
$[1, -1, 1, -828248, 1143932847]$ |
\(y^2+xy+y=x^3-x^2-828248x+1143932847\) |
2.3.0.a.1, 20.6.0.a.1, 516.6.0.?, 2580.12.0.? |
$[(6885, 563811)]$ |
| 3870.q1 |
3870l2 |
3870.q |
3870l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{3} \cdot 5 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.899922105$ |
$1$ |
|
$4$ |
$1024$ |
$0.134694$ |
$137627865747/36980$ |
$0.94746$ |
$3.50365$ |
$[1, -1, 1, -323, 2311]$ |
\(y^2+xy+y=x^3-x^2-323x+2311\) |
2.3.0.a.1, 60.6.0.a.1, 516.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(11, -4)]$ |
| 3870.q2 |
3870l1 |
3870.q |
3870l |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2580$ |
$12$ |
$0$ |
$0.449961052$ |
$1$ |
|
$7$ |
$512$ |
$-0.211880$ |
$47832147/17200$ |
$1.02247$ |
$2.53953$ |
$[1, -1, 1, -23, 31]$ |
\(y^2+xy+y=x^3-x^2-23x+31\) |
2.3.0.a.1, 60.6.0.b.1, 258.6.0.?, 860.6.0.?, 2580.12.0.? |
$[(1, 2)]$ |
| 3870.r1 |
3870p2 |
3870.r |
3870p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.177360025$ |
$1$ |
|
$12$ |
$3840$ |
$0.801630$ |
$14457238157881/4437600$ |
$0.93485$ |
$4.46603$ |
$[1, -1, 1, -4568, 119931]$ |
\(y^2+xy+y=x^3-x^2-4568x+119931\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[(35, 27)]$ |
| 3870.r2 |
3870p1 |
3870.r |
3870p |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5 \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$0.354720051$ |
$1$ |
|
$11$ |
$1920$ |
$0.455056$ |
$-2305199161/1981440$ |
$0.87827$ |
$3.51779$ |
$[1, -1, 1, -248, 2427]$ |
\(y^2+xy+y=x^3-x^2-248x+2427\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[(5, 33)]$ |
| 3870.s1 |
3870s4 |
3870.s |
3870s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{3} \cdot 3^{8} \cdot 5 \cdot 43^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$5160$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$4$ |
$23040$ |
$1.645081$ |
$15393836938735081/2275690697640$ |
$0.97892$ |
$5.30981$ |
$[1, -1, 1, -46643, 3357227]$ |
\(y^2+xy+y=x^3-x^2-46643x+3357227\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3870.s2 |
3870s3 |
3870.s |
3870s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{2} \cdot 43^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$5160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$11520$ |
$1.298506$ |
$13679527032530281/381633600$ |
$0.97456$ |
$5.29552$ |
$[1, -1, 1, -44843, 3666107]$ |
\(y^2+xy+y=x^3-x^2-44843x+3666107\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.c.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3870.s3 |
3870s2 |
3870.s |
3870s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2 \cdot 3^{12} \cdot 5^{3} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$5160$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7680$ |
$1.095774$ |
$276670733768281/336980250$ |
$0.95357$ |
$4.82332$ |
$[1, -1, 1, -12218, -516193]$ |
\(y^2+xy+y=x^3-x^2-12218x-516193\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3870.s4 |
3870s1 |
3870.s |
3870s |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{2} \cdot 3^{9} \cdot 5^{6} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$5160$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.749201$ |
$137467988281/72562500$ |
$0.93880$ |
$3.90247$ |
$[1, -1, 1, -968, -3193]$ |
\(y^2+xy+y=x^3-x^2-968x-3193\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.c.1, 120.48.0.?, $\ldots$ |
$[]$ |
| 3870.t1 |
3870v2 |
3870.t |
3870v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2 \cdot 3^{7} \cdot 5^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1792$ |
$0.324460$ |
$2305199161/277350$ |
$0.86195$ |
$3.40759$ |
$[1, -1, 1, -248, 1397]$ |
\(y^2+xy+y=x^3-x^2-248x+1397\) |
2.3.0.a.1, 24.6.0.a.1, 860.6.0.?, 5160.12.0.? |
$[]$ |
| 3870.t2 |
3870v1 |
3870.t |
3870v |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( - 2^{2} \cdot 3^{8} \cdot 5 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5160$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$896$ |
$-0.022114$ |
$1685159/7740$ |
$0.81723$ |
$2.76793$ |
$[1, -1, 1, 22, 101]$ |
\(y^2+xy+y=x^3-x^2+22x+101\) |
2.3.0.a.1, 24.6.0.d.1, 430.6.0.?, 5160.12.0.? |
$[]$ |
| 3870.u1 |
3870o2 |
3870.u |
3870o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{4} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$0.457171985$ |
$1$ |
|
$8$ |
$4608$ |
$0.865612$ |
$30459021867/9245000$ |
$0.90382$ |
$4.11901$ |
$[1, -1, 1, -1757, 19981]$ |
\(y^2+xy+y=x^3-x^2-1757x+19981\) |
2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.? |
$[(1, 134)]$ |
| 3870.u2 |
3870o1 |
3870.u |
3870o |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$0.914343970$ |
$1$ |
|
$7$ |
$2304$ |
$0.519038$ |
$1740992427/68800$ |
$0.85574$ |
$3.77257$ |
$[1, -1, 1, -677, -6371]$ |
\(y^2+xy+y=x^3-x^2-677x-6371\) |
2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.? |
$[(-13, 16)]$ |
| 3870.v1 |
3870n2 |
3870.v |
3870n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$0.102409479$ |
$1$ |
|
$16$ |
$9216$ |
$1.232651$ |
$3940344055317123/369800000000$ |
$1.01744$ |
$4.74589$ |
$[1, -1, 1, -9872, 348019]$ |
\(y^2+xy+y=x^3-x^2-9872x+348019\) |
2.3.0.a.1, 24.6.0.a.1, 344.6.0.?, 516.6.0.?, 1032.12.0.? |
$[(17, 421)]$ |
| 3870.v2 |
3870n1 |
3870.v |
3870n |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1032$ |
$12$ |
$0$ |
$0.204818958$ |
$1$ |
|
$15$ |
$4608$ |
$0.886077$ |
$43121696645763/7045120000$ |
$0.99588$ |
$4.19935$ |
$[1, -1, 1, -2192, -32909]$ |
\(y^2+xy+y=x^3-x^2-2192x-32909\) |
2.3.0.a.1, 24.6.0.d.1, 258.6.0.?, 344.6.0.?, 1032.12.0.? |
$[(-19, 49)]$ |
| 3870.w1 |
3870z3 |
3870.w |
3870z |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 43 \) |
\( 2^{5} \cdot 3^{8} \cdot 5^{12} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$5160$ |
$48$ |
$0$ |
$1.024124322$ |
$1$ |
|
$6$ |
$61440$ |
$1.981874$ |
$32337636827233520089/3023437500000$ |
$1.00728$ |
$6.23585$ |
$[1, -1, 1, -597362, -177543151]$ |
\(y^2+xy+y=x^3-x^2-597362x-177543151\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[(-443, 271)]$ |
