| 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 |
| 2112.a1 |
2112j1 |
2112.a |
2112j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5376$ |
$1.107286$ |
$55635379958596/24057$ |
$1.02905$ |
$5.58302$ |
$[0, -1, 0, -32065, -2199359]$ |
\(y^2=x^3-x^2-32065x-2199359\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 2112.a2 |
2112j2 |
2112.a |
2112j |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{17} \cdot 3^{14} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$1.453859$ |
$-27403349188178/578739249$ |
$1.02957$ |
$5.58574$ |
$[0, -1, 0, -31905, -2222559]$ |
\(y^2=x^3-x^2-31905x-2222559\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 2112.b1 |
2112t2 |
2112.b |
2112t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{14} \cdot 3^{5} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1920$ |
$0.761936$ |
$932410994128/29403$ |
$0.99766$ |
$4.86782$ |
$[0, -1, 0, -5169, -141327]$ |
\(y^2=x^3-x^2-5169x-141327\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
| 2112.b2 |
2112t1 |
2112.b |
2112t |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{10} \cdot 3^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$960$ |
$0.415363$ |
$-3196715008/649539$ |
$1.08791$ |
$3.80357$ |
$[0, -1, 0, -309, -2331]$ |
\(y^2=x^3-x^2-309x-2331\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
| 2112.c1 |
2112c2 |
2112.c |
2112c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{14} \cdot 3 \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$0.603873207$ |
$1$ |
|
$7$ |
$384$ |
$-0.004720$ |
$810448/363$ |
$0.86847$ |
$3.04484$ |
$[0, -1, 0, -49, -47]$ |
\(y^2=x^3-x^2-49x-47\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(-3, 8)]$ |
| 2112.c2 |
2112c1 |
2112.c |
2112c |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{10} \cdot 3^{2} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.207746415$ |
$1$ |
|
$7$ |
$192$ |
$-0.351294$ |
$131072/99$ |
$1.36072$ |
$2.44468$ |
$[0, -1, 0, 11, -11]$ |
\(y^2=x^3-x^2+11x-11\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(4, 9)]$ |
| 2112.d1 |
2112w3 |
2112.d |
2112w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{17} \cdot 3^{4} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$3.292885583$ |
$1$ |
|
$3$ |
$1024$ |
$0.558987$ |
$5690357426/891$ |
$0.97486$ |
$4.47339$ |
$[0, -1, 0, -1889, -30975]$ |
\(y^2=x^3-x^2-1889x-30975\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.bb.1.12, 88.24.0.?, 264.48.0.? |
$[(56, 189)]$ |
| 2112.d2 |
2112w2 |
2112.d |
2112w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{16} \cdot 3^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1.646442791$ |
$1$ |
|
$9$ |
$512$ |
$0.212413$ |
$3650692/1089$ |
$0.89911$ |
$3.42253$ |
$[0, -1, 0, -129, -351]$ |
\(y^2=x^3-x^2-129x-351\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.a.1.1, 88.24.0.?, 132.24.0.?, $\ldots$ |
$[(-5, 12)]$ |
| 2112.d3 |
2112w1 |
2112.d |
2112w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{14} \cdot 3 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$264$ |
$48$ |
$0$ |
$0.823221395$ |
$1$ |
|
$5$ |
$256$ |
$-0.134161$ |
$810448/33$ |
$0.82188$ |
$3.04484$ |
$[0, -1, 0, -49, 145]$ |
\(y^2=x^3-x^2-49x+145\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.bb.1.6, 66.6.0.a.1, $\ldots$ |
$[(3, 4)]$ |
| 2112.d4 |
2112w4 |
2112.d |
2112w |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{17} \cdot 3 \cdot 11^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$3.292885583$ |
$1$ |
|
$7$ |
$1024$ |
$0.558987$ |
$36382894/43923$ |
$0.96093$ |
$3.82420$ |
$[0, -1, 0, 351, -2751]$ |
\(y^2=x^3-x^2+351x-2751\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.v.1.2, 88.24.0.?, 264.48.0.? |
$[(43, 300)]$ |
| 2112.e1 |
2112u3 |
2112.e |
2112u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{19} \cdot 3 \cdot 11 \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$3072$ |
$0.944767$ |
$4824238966273/66$ |
$1.02376$ |
$5.44470$ |
$[0, -1, 0, -22529, 1309089]$ |
\(y^2=x^3-x^2-22529x+1309089\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 264.48.0.? |
$[]$ |
| 2112.e2 |
2112u2 |
2112.e |
2112u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{20} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1536$ |
$0.598193$ |
$1180932193/4356$ |
$0.96736$ |
$4.35853$ |
$[0, -1, 0, -1409, 20769]$ |
\(y^2=x^3-x^2-1409x+20769\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 132.24.0.?, 264.48.0.? |
$[]$ |
| 2112.e3 |
2112u4 |
2112.e |
2112u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{19} \cdot 3^{4} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.944767$ |
$-192100033/2371842$ |
$1.02507$ |
$4.52705$ |
$[0, -1, 0, -769, 39073]$ |
\(y^2=x^3-x^2-769x+39073\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 264.48.0.? |
$[]$ |
| 2112.e4 |
2112u1 |
2112.e |
2112u |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{22} \cdot 3 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.251620$ |
$912673/528$ |
$1.18336$ |
$3.42253$ |
$[0, -1, 0, -129, 33]$ |
\(y^2=x^3-x^2-129x+33\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 66.6.0.a.1, 132.12.0.?, $\ldots$ |
$[]$ |
| 2112.f1 |
2112h3 |
2112.f |
2112h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{15} \cdot 3^{5} \cdot 11^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.53 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$3$ |
$15360$ |
$1.810352$ |
$6663712298552914184/29403$ |
$1.06967$ |
$7.01994$ |
$[0, -1, 0, -1254529, 541258849]$ |
\(y^2=x^3-x^2-1254529x+541258849\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.m.1.1, 24.48.0-24.bi.1.2 |
$[]$ |
| 2112.f2 |
2112h2 |
2112.f |
2112h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{12} \cdot 3^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.4 |
2Cs |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$1.463779$ |
$13015685560572352/864536409$ |
$1.06444$ |
$5.93343$ |
$[0, -1, 0, -78409, 8476489]$ |
\(y^2=x^3-x^2-78409x+8476489\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.2, 12.24.0-12.a.1.3, 24.48.0-24.f.1.8 |
$[]$ |
| 2112.f3 |
2112h4 |
2112.f |
2112h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{15} \cdot 3^{20} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.810352$ |
$-1343891598641864/421900912521$ |
$1.04688$ |
$5.96507$ |
$[0, -1, 0, -73569, 9563553]$ |
\(y^2=x^3-x^2-73569x+9563553\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 24.48.0-24.n.1.2 |
$[]$ |
| 2112.f4 |
2112h1 |
2112.f |
2112h |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{6} \cdot 3^{5} \cdot 11^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.102 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3840$ |
$1.117205$ |
$243578556889408/52089208083$ |
$1.05700$ |
$4.87047$ |
$[0, -1, 0, -5204, 116478]$ |
\(y^2=x^3-x^2-5204x+116478\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.5, 12.12.0.h.1, 24.48.0-24.bk.1.3 |
$[]$ |
| 2112.g1 |
2112b1 |
2112.g |
2112b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{12} \cdot 3^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$2.547033209$ |
$1$ |
|
$3$ |
$384$ |
$0.171259$ |
$1643032000/297$ |
$0.96314$ |
$3.85840$ |
$[0, -1, 0, -393, -2871]$ |
\(y^2=x^3-x^2-393x-2871\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(25, 48)]$ |
| 2112.g2 |
2112b2 |
2112.g |
2112b |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{15} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1.273516604$ |
$1$ |
|
$5$ |
$768$ |
$0.517833$ |
$-148877000/88209$ |
$1.12203$ |
$3.90847$ |
$[0, -1, 0, -353, -3519]$ |
\(y^2=x^3-x^2-353x-3519\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(45, 264)]$ |
| 2112.h1 |
2112a1 |
2112.h |
2112a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1.203974745$ |
$1$ |
|
$5$ |
$256$ |
$-0.092870$ |
$62500/33$ |
$1.02621$ |
$2.89120$ |
$[0, -1, 0, -33, 33]$ |
\(y^2=x^3-x^2-33x+33\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(-1, 8)]$ |
| 2112.h2 |
2112a2 |
2112.h |
2112a |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{17} \cdot 3^{2} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.601987372$ |
$1$ |
|
$7$ |
$512$ |
$0.253704$ |
$1714750/1089$ |
$1.18812$ |
$3.41436$ |
$[0, -1, 0, 127, 129]$ |
\(y^2=x^3-x^2+127x+129\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(1, 16)]$ |
| 2112.i1 |
2112e3 |
2112.i |
2112e |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{24} \cdot 3 \cdot 11^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$2304$ |
$0.929644$ |
$57736239625/255552$ |
$0.99775$ |
$4.86661$ |
$[0, -1, 0, -5153, -140127]$ |
\(y^2=x^3-x^2-5153x-140127\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.8, $\ldots$ |
$[]$ |
| 2112.i2 |
2112e4 |
2112.i |
2112e |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{21} \cdot 3^{2} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$4608$ |
$1.276217$ |
$-7357983625/127552392$ |
$1.05287$ |
$5.04589$ |
$[0, -1, 0, -2593, -281951]$ |
\(y^2=x^3-x^2-2593x-281951\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.4, $\ldots$ |
$[]$ |
| 2112.i3 |
2112e1 |
2112.i |
2112e |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{20} \cdot 3^{3} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.380338$ |
$18609625/1188$ |
$0.92581$ |
$3.81637$ |
$[0, -1, 0, -353, 2529]$ |
\(y^2=x^3-x^2-353x+2529\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 12.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 2112.i4 |
2112e2 |
2112.i |
2112e |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{19} \cdot 3^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$264$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.726912$ |
$9938375/176418$ |
$1.01160$ |
$4.17730$ |
$[0, -1, 0, 287, 10081]$ |
\(y^2=x^3-x^2+287x+10081\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 12.24.0-6.a.1.10, $\ldots$ |
$[]$ |
| 2112.j1 |
2112v3 |
2112.j |
2112v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1.403122864$ |
$1$ |
|
$3$ |
$3072$ |
$1.027088$ |
$347873904937/395307$ |
$1.00913$ |
$5.10121$ |
$[0, -1, 0, -9377, -346047]$ |
\(y^2=x^3-x^2-9377x-346047\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[(141, 1056)]$ |
| 2112.j2 |
2112v2 |
2112.j |
2112v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{18} \cdot 3^{6} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$2.806245728$ |
$1$ |
|
$7$ |
$1536$ |
$0.680515$ |
$169112377/88209$ |
$1.00669$ |
$4.10465$ |
$[0, -1, 0, -737, -2175]$ |
\(y^2=x^3-x^2-737x-2175\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[(-21, 60)]$ |
| 2112.j3 |
2112v1 |
2112.j |
2112v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{18} \cdot 3^{3} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1.403122864$ |
$1$ |
|
$5$ |
$768$ |
$0.333941$ |
$30664297/297$ |
$1.09706$ |
$3.88161$ |
$[0, -1, 0, -417, 3393]$ |
\(y^2=x^3-x^2-417x+3393\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 66.6.0.a.1, $\ldots$ |
$[(11, 4)]$ |
| 2112.j4 |
2112v4 |
2112.j |
2112v |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{18} \cdot 3^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$5.612491456$ |
$1$ |
|
$1$ |
$3072$ |
$1.027088$ |
$9090072503/5845851$ |
$1.03763$ |
$4.62512$ |
$[0, -1, 0, 2783, -19775]$ |
\(y^2=x^3-x^2+2783x-19775\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$ |
$[(163/3, 5140/3)]$ |
| 2112.k1 |
2112s1 |
2112.k |
2112s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{6} \cdot 3^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$192$ |
$-0.224137$ |
$58411072/3267$ |
$0.96722$ |
$2.87927$ |
$[0, -1, 0, -32, 78]$ |
\(y^2=x^3-x^2-32x+78\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
| 2112.k2 |
2112s2 |
2112.k |
2112s |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{12} \cdot 3^{6} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.122437$ |
$314432/8019$ |
$1.04398$ |
$3.23159$ |
$[0, -1, 0, 23, 265]$ |
\(y^2=x^3-x^2+23x+265\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
| 2112.l1 |
2112f3 |
2112.l |
2112f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{15} \cdot 3^{8} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1024$ |
$0.531794$ |
$649461896/72171$ |
$0.94560$ |
$4.00879$ |
$[0, -1, 0, -577, -4607]$ |
\(y^2=x^3-x^2-577x-4607\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 88.48.0.? |
$[]$ |
| 2112.l2 |
2112f2 |
2112.l |
2112f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{12} \cdot 3^{4} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$512$ |
$0.185220$ |
$69934528/9801$ |
$0.93038$ |
$3.44605$ |
$[0, -1, 0, -137, 585]$ |
\(y^2=x^3-x^2-137x+585\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 44.24.0-44.a.1.3, 88.48.0.? |
$[]$ |
| 2112.l3 |
2112f1 |
2112.l |
2112f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{6} \cdot 3^{2} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.104 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$-0.161353$ |
$4004529472/99$ |
$0.97266$ |
$3.43151$ |
$[0, -1, 0, -132, 630]$ |
\(y^2=x^3-x^2-132x+630\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.m.1.7, 44.12.0.h.1, 88.48.0.? |
$[]$ |
| 2112.l4 |
2112f4 |
2112.l |
2112f |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$88$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$1024$ |
$0.531794$ |
$37259704/131769$ |
$0.96426$ |
$3.84854$ |
$[0, -1, 0, 223, 2817]$ |
\(y^2=x^3-x^2+223x+2817\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 88.48.0.? |
$[]$ |
| 2112.m1 |
2112g4 |
2112.m |
2112g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.515894$ |
$37736227588/33$ |
$0.98449$ |
$4.62997$ |
$[0, -1, 0, -2817, 58497]$ |
\(y^2=x^3-x^2-2817x+58497\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 24.24.0-24.ba.1.2, 66.6.0.a.1, $\ldots$ |
$[]$ |
| 2112.m2 |
2112g3 |
2112.m |
2112g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{16} \cdot 3 \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.515894$ |
$122657188/43923$ |
$0.95383$ |
$3.88161$ |
$[0, -1, 0, -417, -1887]$ |
\(y^2=x^3-x^2-417x-1887\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 12.12.0.h.1, 24.24.0-12.h.1.2, $\ldots$ |
$[]$ |
| 2112.m3 |
2112g2 |
2112.m |
2112g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$768$ |
$0.169321$ |
$37642192/1089$ |
$0.89513$ |
$3.54622$ |
$[0, -1, 0, -177, 945]$ |
\(y^2=x^3-x^2-177x+945\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 12.12.0.a.1, 24.24.0-12.a.1.1, 44.12.0.b.1, $\ldots$ |
$[]$ |
| 2112.m4 |
2112g1 |
2112.m |
2112g |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{10} \cdot 3^{4} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.177253$ |
$2048/891$ |
$1.09261$ |
$2.76631$ |
$[0, -1, 0, 3, 45]$ |
\(y^2=x^3-x^2+3x+45\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 22.6.0.a.1, 24.24.0-24.ba.1.14, $\ldots$ |
$[]$ |
| 2112.n1 |
2112d3 |
2112.n |
2112d |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{20} \cdot 3 \cdot 11^{5} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$18.13730395$ |
$1$ |
|
$1$ |
$19200$ |
$1.787575$ |
$112763292123580561/1932612$ |
$1.06379$ |
$6.75873$ |
$[0, -1, 0, -644161, -198779327]$ |
\(y^2=x^3-x^2-644161x-198779327\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.d.1, 10.36.0.a.1, 20.72.0-10.a.1.5, $\ldots$ |
$[(688259289/595, 16170174629888/595)]$ |
| 2112.n2 |
2112d4 |
2112.n |
2112d |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{19} \cdot 3^{2} \cdot 11^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.2 |
2B, 5B.4.2 |
$1320$ |
$288$ |
$5$ |
$9.068651975$ |
$1$ |
|
$1$ |
$38400$ |
$2.134148$ |
$-112427521449300721/466873642818$ |
$1.06387$ |
$6.75927$ |
$[0, -1, 0, -643521, -199194687]$ |
\(y^2=x^3-x^2-643521x-199194687\) |
2.3.0.a.1, 5.12.0.a.2, 8.6.0.a.1, 10.36.0.a.1, 20.72.0-10.a.1.3, $\ldots$ |
$[(59873/7, 9925280/7)]$ |
| 2112.n3 |
2112d1 |
2112.n |
2112d |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{28} \cdot 3^{5} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.4, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$3.627460790$ |
$1$ |
|
$3$ |
$3840$ |
$0.982855$ |
$10091699281/2737152$ |
$1.07340$ |
$4.63877$ |
$[0, -1, 0, -2881, 44353]$ |
\(y^2=x^3-x^2-2881x+44353\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.d.1, 10.36.0.a.2, 20.72.0-10.a.2.4, $\ldots$ |
$[(-33, 320)]$ |
| 2112.n4 |
2112d2 |
2112.n |
2112d |
$4$ |
$10$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{23} \cdot 3^{10} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 5$ |
8.6.0.5, 5.12.0.1 |
2B, 5B.4.1 |
$1320$ |
$288$ |
$5$ |
$1.813730395$ |
$1$ |
|
$3$ |
$7680$ |
$1.329428$ |
$168105213359/228637728$ |
$1.10021$ |
$5.04544$ |
$[0, -1, 0, 7359, 279873]$ |
\(y^2=x^3-x^2+7359x+279873\) |
2.3.0.a.1, 5.12.0.a.1, 8.6.0.a.1, 10.36.0.a.2, 20.72.0-10.a.2.5, $\ldots$ |
$[(17, 640)]$ |
| 2112.o1 |
2112i1 |
2112.o |
2112i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{12} \cdot 3 \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$-0.218501$ |
$1906624/33$ |
$0.85378$ |
$2.97550$ |
$[0, -1, 0, -41, -87]$ |
\(y^2=x^3-x^2-41x-87\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[]$ |
| 2112.o2 |
2112i2 |
2112.o |
2112i |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{15} \cdot 3^{2} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$768$ |
$0.128073$ |
$-8/1089$ |
$1.19226$ |
$3.24542$ |
$[0, -1, 0, -1, -287]$ |
\(y^2=x^3-x^2-x-287\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[]$ |
| 2112.p1 |
2112z1 |
2112.p |
2112z |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{16} \cdot 3^{7} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$264$ |
$12$ |
$0$ |
$0.356478625$ |
$1$ |
|
$9$ |
$5376$ |
$1.107286$ |
$55635379958596/24057$ |
$1.02905$ |
$5.58302$ |
$[0, 1, 0, -32065, 2199359]$ |
\(y^2=x^3+x^2-32065x+2199359\) |
2.3.0.a.1, 8.6.0.d.1, 66.6.0.a.1, 264.12.0.? |
$[(101, 36)]$ |
| 2112.p2 |
2112z2 |
2112.p |
2112z |
$2$ |
$2$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( - 2^{17} \cdot 3^{14} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$264$ |
$12$ |
$0$ |
$0.178239312$ |
$1$ |
|
$15$ |
$10752$ |
$1.453859$ |
$-27403349188178/578739249$ |
$1.02957$ |
$5.58574$ |
$[0, 1, 0, -31905, 2222559]$ |
\(y^2=x^3+x^2-31905x+2222559\) |
2.3.0.a.1, 8.6.0.a.1, 132.6.0.?, 264.12.0.? |
$[(-9, 1584)]$ |
| 2112.q1 |
2112n3 |
2112.q |
2112n |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{15} \cdot 3^{5} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.63 |
2B |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$1.810352$ |
$6663712298552914184/29403$ |
$1.06967$ |
$7.01994$ |
$[0, 1, 0, -1254529, -541258849]$ |
\(y^2=x^3+x^2-1254529x-541258849\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.m.1.3, 24.48.0-24.bi.1.1 |
$[]$ |
| 2112.q2 |
2112n2 |
2112.q |
2112n |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \) |
\( 2^{12} \cdot 3^{10} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.3 |
2Cs |
$24$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$7680$ |
$1.463779$ |
$13015685560572352/864536409$ |
$1.06444$ |
$5.93343$ |
$[0, 1, 0, -78409, -8476489]$ |
\(y^2=x^3+x^2-78409x-8476489\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 8.24.0-8.b.1.1, 12.24.0-12.a.1.3, 24.48.0-24.f.1.5 |
$[]$ |
