| 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 |
Manin constant |
| 8256.a1 |
8256bh1 |
8256.a |
8256bh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3 \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$0.480681728$ |
$1$ |
|
$14$ |
$1536$ |
$-0.100589$ |
$-35152/129$ |
$0.74744$ |
$2.45768$ |
$[0, -1, 0, -17, 81]$ |
\(y^2=x^3-x^2-17x+81\) |
516.2.0.? |
$[(1, 8), (9, 24)]$ |
$1$ |
| 8256.b1 |
8256bg1 |
8256.b |
8256bg |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{20} \cdot 3^{19} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$145920$ |
$2.326149$ |
$-9500554530751882177/199908972324$ |
$1.04122$ |
$6.22868$ |
$[0, -1, 0, -2823937, -1825638239]$ |
\(y^2=x^3-x^2-2823937x-1825638239\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 8256.c1 |
8256i2 |
8256.c |
8256i |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3^{3} \cdot 43^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$10.16038768$ |
$1$ |
|
$0$ |
$27648$ |
$1.176147$ |
$-189962197148752/2146689$ |
$0.98253$ |
$4.72152$ |
$[0, -1, 0, -30417, -2031759]$ |
\(y^2=x^3-x^2-30417x-2031759\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 516.8.0.?, 1032.16.0.? |
$[(46799/7, 9936424/7)]$ |
$1$ |
| 8256.c2 |
8256i1 |
8256.c |
8256i |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3^{9} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$3.386795894$ |
$1$ |
|
$2$ |
$9216$ |
$0.626841$ |
$-37642192/846369$ |
$0.93552$ |
$3.41878$ |
$[0, -1, 0, -177, -5679]$ |
\(y^2=x^3-x^2-177x-5679\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 516.8.0.?, 1032.16.0.? |
$[(47, 296)]$ |
$1$ |
| 8256.d1 |
8256k1 |
8256.d |
8256k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{12} \cdot 3 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1664$ |
$0.018317$ |
$131096512/129$ |
$0.85640$ |
$2.99480$ |
$[0, -1, 0, -169, -791]$ |
\(y^2=x^3-x^2-169x-791\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 8256.d2 |
8256k2 |
8256.d |
8256k |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{15} \cdot 3^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3328$ |
$0.364891$ |
$-7301384/16641$ |
$0.86131$ |
$3.08224$ |
$[0, -1, 0, -129, -1215]$ |
\(y^2=x^3-x^2-129x-1215\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 8256.e1 |
8256e1 |
8256.e |
8256e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{20} \cdot 3 \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1.814470286$ |
$1$ |
|
$5$ |
$2304$ |
$0.250225$ |
$912673/516$ |
$0.90862$ |
$2.90516$ |
$[0, -1, 0, -129, 129]$ |
\(y^2=x^3-x^2-129x+129\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(-1, 16)]$ |
$1$ |
| 8256.e2 |
8256e2 |
8256.e |
8256e |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{19} \cdot 3^{2} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$0.907235143$ |
$1$ |
|
$7$ |
$4608$ |
$0.596798$ |
$56181887/33282$ |
$0.96315$ |
$3.36199$ |
$[0, -1, 0, 511, 513]$ |
\(y^2=x^3-x^2+511x+513\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(1, 32)]$ |
$1$ |
| 8256.f1 |
8256j3 |
8256.f |
8256j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{12} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.256548$ |
$1616855892553/22851963$ |
$1.05806$ |
$4.50045$ |
$[0, -1, 0, -15649, 749473]$ |
\(y^2=x^3-x^2-15649x+749473\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 24.24.0-24.z.1.14, 172.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 8256.f2 |
8256j2 |
8256.f |
8256j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$0.909974$ |
$2845178713/1347921$ |
$0.95310$ |
$3.79717$ |
$[0, -1, 0, -1889, -12831]$ |
\(y^2=x^3-x^2-1889x-12831\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.2, 172.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 8256.f3 |
8256j1 |
8256.f |
8256j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$0.563400$ |
$1630532233/1161$ |
$0.91317$ |
$3.73544$ |
$[0, -1, 0, -1569, -23391]$ |
\(y^2=x^3-x^2-1569x-23391\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.10, 258.6.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 8256.f4 |
8256j4 |
8256.f |
8256j |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{18} \cdot 3^{3} \cdot 43^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.256548$ |
$129784785047/92307627$ |
$0.98681$ |
$4.22076$ |
$[0, -1, 0, 6751, -104415]$ |
\(y^2=x^3-x^2+6751x-104415\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.3, 12.12.0.g.1, $\ldots$ |
$[ ]$ |
$1$ |
| 8256.g1 |
8256bc1 |
8256.g |
8256bc |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{16} \cdot 3^{7} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10752$ |
$1.185989$ |
$-6929294404/173881809$ |
$0.99558$ |
$4.16266$ |
$[0, -1, 0, -1601, -163743]$ |
\(y^2=x^3-x^2-1601x-163743\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 8256.h1 |
8256d1 |
8256.h |
8256d |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{3} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.164730024$ |
$1$ |
|
$2$ |
$768$ |
$-0.336398$ |
$-7529536/1161$ |
$0.93340$ |
$2.24306$ |
$[0, -1, 0, -16, 34]$ |
\(y^2=x^3-x^2-16x+34\) |
516.2.0.? |
$[(3, 2)]$ |
$1$ |
| 8256.i1 |
8256bd1 |
8256.i |
8256bd |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{24} \cdot 3 \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.473552$ |
$1685159/8256$ |
$0.89017$ |
$3.19607$ |
$[0, -1, 0, 159, 2049]$ |
\(y^2=x^3-x^2+159x+2049\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 8256.j1 |
8256b1 |
8256.j |
8256b |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{10} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.030775521$ |
$1$ |
|
$2$ |
$1920$ |
$0.268300$ |
$-1906624000/2539107$ |
$0.92957$ |
$2.96293$ |
$[0, -1, 0, -103, 769]$ |
\(y^2=x^3-x^2-103x+769\) |
86.2.0.? |
$[(40, 243)]$ |
$1$ |
| 8256.k1 |
8256ba1 |
8256.k |
8256ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{6} \cdot 3^{6} \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$960$ |
$-0.068418$ |
$195112000/31347$ |
$0.90784$ |
$2.57775$ |
$[0, -1, 0, -48, 126]$ |
\(y^2=x^3-x^2-48x+126\) |
2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 516.12.0.? |
$[ ]$ |
$1$ |
| 8256.k2 |
8256ba2 |
8256.k |
8256ba |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{12} \cdot 3^{3} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.278155$ |
$17576000/49923$ |
$0.92344$ |
$2.92314$ |
$[0, -1, 0, 87, 585]$ |
\(y^2=x^3-x^2+87x+585\) |
2.3.0.a.1, 6.6.0.a.1, 172.6.0.?, 516.12.0.? |
$[ ]$ |
$1$ |
| 8256.l1 |
8256a2 |
8256.l |
8256a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{14} \cdot 3^{2} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$2.055506342$ |
$1$ |
|
$3$ |
$2688$ |
$0.354420$ |
$5142706000/387$ |
$0.89540$ |
$3.55538$ |
$[0, -1, 0, -913, -10319]$ |
\(y^2=x^3-x^2-913x-10319\) |
2.3.0.a.1, 12.6.0.c.1, 172.6.0.?, 516.12.0.? |
$[(37, 72)]$ |
$1$ |
| 8256.l2 |
8256a1 |
8256.l |
8256a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{10} \cdot 3 \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$516$ |
$12$ |
$0$ |
$4.111012685$ |
$1$ |
|
$3$ |
$1344$ |
$0.007846$ |
$-16384000/5547$ |
$1.10625$ |
$2.66157$ |
$[0, -1, 0, -53, -171]$ |
\(y^2=x^3-x^2-53x-171\) |
2.3.0.a.1, 6.6.0.a.1, 172.6.0.?, 516.12.0.? |
$[(396, 7869)]$ |
$1$ |
| 8256.m1 |
8256bi1 |
8256.m |
8256bi |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{2} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$0.623688452$ |
$1$ |
|
$2$ |
$384$ |
$-0.473188$ |
$-64000/387$ |
$0.78965$ |
$1.95853$ |
$[0, -1, 0, -3, 9]$ |
\(y^2=x^3-x^2-3x+9\) |
86.2.0.? |
$[(0, 3)]$ |
$1$ |
| 8256.n1 |
8256c2 |
8256.n |
8256c |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{20} \cdot 3 \cdot 43^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$7224$ |
$96$ |
$2$ |
$18.82885940$ |
$1$ |
|
$0$ |
$225792$ |
$2.458641$ |
$-23769846831649063249/3261823333284$ |
$1.04406$ |
$6.33039$ |
$[0, -1, 0, -3833665, -2888210111]$ |
\(y^2=x^3-x^2-3833665x-2888210111\) |
7.24.0.a.2, 56.48.0-7.a.2.1, 516.2.0.?, 3612.48.2.?, 7224.96.2.? |
$[(1222716265/651, 27669832988608/651)]$ |
$1$ |
| 8256.n2 |
8256c1 |
8256.n |
8256c |
$2$ |
$7$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{32} \cdot 3^{7} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$7224$ |
$96$ |
$2$ |
$2.689837057$ |
$1$ |
|
$0$ |
$32256$ |
$1.485687$ |
$444369620591/1540767744$ |
$0.99664$ |
$4.53550$ |
$[0, -1, 0, 10175, 879169]$ |
\(y^2=x^3-x^2+10175x+879169\) |
7.24.0.a.1, 56.48.0-7.a.1.1, 516.2.0.?, 3612.48.2.?, 7224.96.2.? |
$[(-551/3, 4096/3)]$ |
$1$ |
| 8256.o1 |
8256bb1 |
8256.o |
8256bb |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{16} \cdot 3^{3} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$0.200114$ |
$1431644/1161$ |
$0.83319$ |
$2.80137$ |
$[0, -1, 0, 95, 193]$ |
\(y^2=x^3-x^2+95x+193\) |
516.2.0.? |
$[ ]$ |
$1$ |
| 8256.p1 |
8256bf3 |
8256.p |
8256bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{21} \cdot 3 \cdot 43 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$46080$ |
$1.532797$ |
$18440127492397057/1032$ |
$1.01875$ |
$5.53627$ |
$[0, -1, 0, -352257, 80588193]$ |
\(y^2=x^3-x^2-352257x+80588193\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 1032.48.0.? |
$[ ]$ |
$1$ |
| 8256.p2 |
8256bf2 |
8256.p |
8256bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{24} \cdot 3^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$23040$ |
$1.186224$ |
$4502751117697/1065024$ |
$1.04479$ |
$4.61401$ |
$[0, -1, 0, -22017, 1264545]$ |
\(y^2=x^3-x^2-22017x+1264545\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 516.24.0.?, 1032.48.0.? |
$[ ]$ |
$1$ |
| 8256.p3 |
8256bf4 |
8256.p |
8256bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{21} \cdot 3^{4} \cdot 43^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.532797$ |
$-3107661785857/2215383048$ |
$0.98806$ |
$4.66191$ |
$[0, -1, 0, -19457, 1567137]$ |
\(y^2=x^3-x^2-19457x+1567137\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 1032.48.0.? |
$[ ]$ |
$1$ |
| 8256.p4 |
8256bf1 |
8256.p |
8256bf |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{30} \cdot 3 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$1032$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11520$ |
$0.839650$ |
$1532808577/528384$ |
$0.93069$ |
$3.72859$ |
$[0, -1, 0, -1537, 15265]$ |
\(y^2=x^3-x^2-1537x+15265\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 258.6.0.?, 516.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 8256.q1 |
8256bk1 |
8256.q |
8256bk |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3^{4} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1.293000465$ |
$1$ |
|
$2$ |
$1536$ |
$0.170038$ |
$524288/3483$ |
$1.01944$ |
$2.79678$ |
$[0, -1, 0, 43, 333]$ |
\(y^2=x^3-x^2+43x+333\) |
86.2.0.? |
$[(-4, 9)]$ |
$1$ |
| 8256.r1 |
8256bj1 |
8256.r |
8256bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{32} \cdot 3^{7} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$15.36762410$ |
$1$ |
|
$1$ |
$37632$ |
$1.690527$ |
$778510269523657/1540767744$ |
$1.00479$ |
$5.18535$ |
$[0, -1, 0, -122657, -16465215]$ |
\(y^2=x^3-x^2-122657x-16465215\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[(427209709/25, 8830012055552/25)]$ |
$1$ |
| 8256.r2 |
8256bj2 |
8256.r |
8256bj |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{25} \cdot 3^{14} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$7.683812050$ |
$1$ |
|
$3$ |
$75264$ |
$2.037102$ |
$-230042158153417/1131994839168$ |
$1.03167$ |
$5.29983$ |
$[0, -1, 0, -81697, -27680063]$ |
\(y^2=x^3-x^2-81697x-27680063\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[(2734141, 4520966400)]$ |
$1$ |
| 8256.s1 |
8256be1 |
8256.s |
8256be |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{4} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$-0.120540$ |
$-799178752/3483$ |
$0.95634$ |
$2.73493$ |
$[0, -1, 0, -77, -237]$ |
\(y^2=x^3-x^2-77x-237\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 8256.t1 |
8256g1 |
8256.t |
8256g |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{16} \cdot 3 \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.875533725$ |
$1$ |
|
$4$ |
$2560$ |
$0.256776$ |
$-153091012/129$ |
$0.86857$ |
$3.31959$ |
$[0, -1, 0, -449, -3519]$ |
\(y^2=x^3-x^2-449x-3519\) |
516.2.0.? |
$[(25, 16)]$ |
$1$ |
| 8256.u1 |
8256h1 |
8256.u |
8256h |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{20} \cdot 3^{5} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$0.868955629$ |
$1$ |
|
$4$ |
$7680$ |
$0.661044$ |
$-338608873/41796$ |
$0.90085$ |
$3.58260$ |
$[0, -1, 0, -929, 12321]$ |
\(y^2=x^3-x^2-929x+12321\) |
516.2.0.? |
$[(25, 64)]$ |
$1$ |
| 8256.v1 |
8256f1 |
8256.v |
8256f |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{11} \cdot 43^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$38.02481831$ |
$1$ |
|
$0$ |
$42240$ |
$1.785358$ |
$-7765826776893057088/26042104652121$ |
$1.04514$ |
$5.28468$ |
$[0, -1, 0, -165024, -25822638]$ |
\(y^2=x^3-x^2-165024x-25822638\) |
516.2.0.? |
$[(32656076158004051/39127, 5901276858418927215009866/39127)]$ |
$1$ |
| 8256.w1 |
8256l1 |
8256.w |
8256l |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{2} \cdot 43^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$86$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4224$ |
$0.303913$ |
$-103558145536/715563$ |
$0.94144$ |
$3.27477$ |
$[0, -1, 0, -391, -2867]$ |
\(y^2=x^3-x^2-391x-2867\) |
86.2.0.? |
$[ ]$ |
$1$ |
| 8256.x1 |
8256bt2 |
8256.x |
8256bt |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3^{3} \cdot 43^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$0.137716650$ |
$1$ |
|
$24$ |
$27648$ |
$1.176147$ |
$-189962197148752/2146689$ |
$0.98253$ |
$4.72152$ |
$[0, 1, 0, -30417, 2031759]$ |
\(y^2=x^3+x^2-30417x+2031759\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 516.8.0.?, 1032.16.0.? |
$[(69, 516), (155, 1032)]$ |
$1$ |
| 8256.x2 |
8256bt1 |
8256.x |
8256bt |
$2$ |
$3$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3^{9} \cdot 43 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1032$ |
$16$ |
$0$ |
$0.137716650$ |
$1$ |
|
$30$ |
$9216$ |
$0.626841$ |
$-37642192/846369$ |
$0.93552$ |
$3.41878$ |
$[0, 1, 0, -177, 5679]$ |
\(y^2=x^3+x^2-177x+5679\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 516.8.0.?, 1032.16.0.? |
$[(3, 72), (75, 648)]$ |
$1$ |
| 8256.y1 |
8256z1 |
8256.y |
8256z |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{14} \cdot 3 \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.824694698$ |
$1$ |
|
$2$ |
$1536$ |
$-0.100589$ |
$-35152/129$ |
$0.74744$ |
$2.45768$ |
$[0, 1, 0, -17, -81]$ |
\(y^2=x^3+x^2-17x-81\) |
516.2.0.? |
$[(9, 24)]$ |
$1$ |
| 8256.z1 |
8256y1 |
8256.z |
8256y |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{20} \cdot 3^{19} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$0.164731990$ |
$1$ |
|
$8$ |
$145920$ |
$2.326149$ |
$-9500554530751882177/199908972324$ |
$1.04122$ |
$6.22868$ |
$[0, 1, 0, -2823937, 1825638239]$ |
\(y^2=x^3+x^2-2823937x+1825638239\) |
516.2.0.? |
$[(1739, 46656)]$ |
$1$ |
| 8256.ba1 |
8256bm3 |
8256.ba |
8256bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{12} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1032$ |
$48$ |
$0$ |
$0.888782416$ |
$1$ |
|
$7$ |
$15360$ |
$1.256548$ |
$1616855892553/22851963$ |
$1.05806$ |
$4.50045$ |
$[0, 1, 0, -15649, -749473]$ |
\(y^2=x^3+x^2-15649x-749473\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 24.24.0-24.z.1.6, 172.12.0.?, $\ldots$ |
$[(-73, 96)]$ |
$1$ |
| 8256.ba2 |
8256bm2 |
8256.ba |
8256bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{6} \cdot 43^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1032$ |
$48$ |
$0$ |
$1.777564832$ |
$1$ |
|
$9$ |
$7680$ |
$0.909974$ |
$2845178713/1347921$ |
$0.95310$ |
$3.79717$ |
$[0, 1, 0, -1889, 12831]$ |
\(y^2=x^3+x^2-1889x+12831\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.b.1, 24.24.0-12.b.1.1, 172.12.0.?, $\ldots$ |
$[(82, 645)]$ |
$1$ |
| 8256.ba3 |
8256bm1 |
8256.ba |
8256bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{18} \cdot 3^{3} \cdot 43 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1032$ |
$48$ |
$0$ |
$0.888782416$ |
$1$ |
|
$5$ |
$3840$ |
$0.563400$ |
$1630532233/1161$ |
$0.91317$ |
$3.73544$ |
$[0, 1, 0, -1569, 23391]$ |
\(y^2=x^3+x^2-1569x+23391\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.z.1.2, 258.6.0.?, $\ldots$ |
$[(21, 12)]$ |
$1$ |
| 8256.ba4 |
8256bm4 |
8256.ba |
8256bm |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{18} \cdot 3^{3} \cdot 43^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1032$ |
$48$ |
$0$ |
$3.555129664$ |
$1$ |
|
$3$ |
$15360$ |
$1.256548$ |
$129784785047/92307627$ |
$0.98681$ |
$4.22076$ |
$[0, 1, 0, 6751, 104415]$ |
\(y^2=x^3+x^2+6751x+104415\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.12.0-4.c.1.4, 12.12.0.g.1, $\ldots$ |
$[(85, 1140)]$ |
$1$ |
| 8256.bb1 |
8256bq1 |
8256.bb |
8256bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{20} \cdot 3 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.250225$ |
$912673/516$ |
$0.90862$ |
$2.90516$ |
$[0, 1, 0, -129, -129]$ |
\(y^2=x^3+x^2-129x-129\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 8256.bb2 |
8256bq2 |
8256.bb |
8256bq |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{19} \cdot 3^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$0.596798$ |
$56181887/33282$ |
$0.96315$ |
$3.36199$ |
$[0, 1, 0, 511, -513]$ |
\(y^2=x^3+x^2+511x-513\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 8256.bc1 |
8256o1 |
8256.bc |
8256o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( 2^{12} \cdot 3 \cdot 43 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1664$ |
$0.018317$ |
$131096512/129$ |
$0.85640$ |
$2.99480$ |
$[0, 1, 0, -169, 791]$ |
\(y^2=x^3+x^2-169x+791\) |
2.3.0.a.1, 8.6.0.d.1, 258.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 8256.bc2 |
8256o2 |
8256.bc |
8256o |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{15} \cdot 3^{2} \cdot 43^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$1032$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3328$ |
$0.364891$ |
$-7301384/16641$ |
$0.86131$ |
$3.08224$ |
$[0, 1, 0, -129, 1215]$ |
\(y^2=x^3+x^2-129x+1215\) |
2.3.0.a.1, 8.6.0.a.1, 516.6.0.?, 1032.12.0.? |
$[ ]$ |
$1$ |
| 8256.bd1 |
8256u1 |
8256.bd |
8256u |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{24} \cdot 3 \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.398280265$ |
$1$ |
|
$2$ |
$4608$ |
$0.473552$ |
$1685159/8256$ |
$0.89017$ |
$3.19607$ |
$[0, 1, 0, 159, -2049]$ |
\(y^2=x^3+x^2+159x-2049\) |
516.2.0.? |
$[(83, 768)]$ |
$1$ |
| 8256.be1 |
8256s1 |
8256.be |
8256s |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 43 \) |
\( - 2^{6} \cdot 3^{3} \cdot 43 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$516$ |
$2$ |
$0$ |
$1.312568856$ |
$1$ |
|
$2$ |
$768$ |
$-0.336398$ |
$-7529536/1161$ |
$0.93340$ |
$2.24306$ |
$[0, 1, 0, -16, -34]$ |
\(y^2=x^3+x^2-16x-34\) |
516.2.0.? |
$[(5, 6)]$ |
$1$ |
