| 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 |
| 27200.a1 |
27200bi1 |
27200.a |
27200bi |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{15} \cdot 5^{3} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.368487103$ |
$1$ |
|
$20$ |
$15872$ |
$0.184412$ |
$216/17$ |
$0.78799$ |
$2.49791$ |
$[0, 0, 0, 20, 400]$ |
\(y^2=x^3+20x+400\) |
680.2.0.? |
$[(10, 40), (-6, 8)]$ |
| 27200.b1 |
27200bp1 |
27200.b |
27200bp |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{15} \cdot 5^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1.718867953$ |
$1$ |
|
$2$ |
$79360$ |
$0.989131$ |
$216/17$ |
$0.78799$ |
$3.44362$ |
$[0, 0, 0, 500, -50000]$ |
\(y^2=x^3+500x-50000\) |
680.2.0.? |
$[(100, 1000)]$ |
| 27200.c1 |
27200bb1 |
27200.c |
27200bb |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{15} \cdot 5^{9} \cdot 17^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.173565886$ |
$1$ |
|
$28$ |
$599040$ |
$2.100636$ |
$-34831225434312/177482125$ |
$0.98923$ |
$5.01854$ |
$[0, 0, 0, -544300, 155242000]$ |
\(y^2=x^3-544300x+155242000\) |
680.2.0.? |
$[(330, 3400), (160, 8500)]$ |
| 27200.d1 |
27200cx1 |
27200.d |
27200cx |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{22} \cdot 5^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36864$ |
$0.726526$ |
$84375/272$ |
$1.04213$ |
$3.11205$ |
$[0, 0, 0, 500, -9200]$ |
\(y^2=x^3+500x-9200\) |
68.2.0.a.1 |
$[ ]$ |
| 27200.e1 |
27200q1 |
27200.e |
27200q |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{22} \cdot 5^{10} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$2.471450825$ |
$1$ |
|
$2$ |
$184320$ |
$1.531244$ |
$84375/272$ |
$1.04213$ |
$4.05776$ |
$[0, 0, 0, 12500, 1150000]$ |
\(y^2=x^3+12500x+1150000\) |
68.2.0.a.1 |
$[(54, 1408)]$ |
| 27200.f1 |
27200cg1 |
27200.f |
27200cg |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{19} \cdot 5^{7} \cdot 17 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.375931153$ |
$1$ |
|
$18$ |
$92160$ |
$1.174473$ |
$-116930169/170$ |
$0.88233$ |
$3.98717$ |
$[0, 0, 0, -16300, 802000]$ |
\(y^2=x^3-16300x+802000\) |
680.2.0.? |
$[(10, 800), (74, 32)]$ |
| 27200.g1 |
27200cn2 |
27200.g |
27200cn |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{15} \cdot 5^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$0.781748635$ |
$1$ |
|
$9$ |
$30720$ |
$0.848079$ |
$941192/289$ |
$0.97049$ |
$3.31102$ |
$[0, 1, 0, -1633, 16863]$ |
\(y^2=x^3+x^2-1633x+16863\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(-1, 136)]$ |
| 27200.g2 |
27200cn1 |
27200.g |
27200cn |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{12} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1.563497271$ |
$1$ |
|
$5$ |
$15360$ |
$0.501505$ |
$438976/17$ |
$0.96236$ |
$3.03268$ |
$[0, 1, 0, -633, -6137]$ |
\(y^2=x^3+x^2-633x-6137\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(-13, 8)]$ |
| 27200.h1 |
27200o3 |
27200.h |
27200o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{42} \cdot 5^{12} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$11.65601806$ |
$1$ |
|
$1$ |
$2211840$ |
$2.961918$ |
$8010684753304969/4456448000000$ |
$1.04256$ |
$5.75389$ |
$[0, 1, 0, -6669633, -1306311137]$ |
\(y^2=x^3+x^2-6669633x-1306311137\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(-411518/13, 49239975/13)]$ |
| 27200.h2 |
27200o1 |
27200.h |
27200o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{26} \cdot 5^{8} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$3.885339356$ |
$1$ |
|
$5$ |
$737280$ |
$2.412609$ |
$1841373668746009/31443200$ |
$0.98941$ |
$5.60990$ |
$[0, 1, 0, -4085633, 3177200863]$ |
\(y^2=x^3+x^2-4085633x+3177200863\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(1138, 1675)]$ |
| 27200.h3 |
27200o2 |
27200.h |
27200o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{22} \cdot 5^{10} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$1.942669678$ |
$1$ |
|
$7$ |
$1474560$ |
$2.759182$ |
$-1673672305534489/241375690000$ |
$0.99210$ |
$5.62234$ |
$[0, 1, 0, -3957633, 3385712863]$ |
\(y^2=x^3+x^2-3957633x+3385712863\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(-1077, 80000)]$ |
| 27200.h4 |
27200o4 |
27200.h |
27200o |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{30} \cdot 5^{18} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$2040$ |
$384$ |
$9$ |
$5.828009034$ |
$1$ |
|
$1$ |
$4423680$ |
$3.308491$ |
$479958568556831351/289000000000000$ |
$1.05690$ |
$6.15473$ |
$[0, 1, 0, 26098367, -10317511137]$ |
\(y^2=x^3+x^2+26098367x-10317511137\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.24.0.d.1, $\ldots$ |
$[(60691/3, 18556928/3)]$ |
| 27200.i1 |
27200ce1 |
27200.i |
27200ce |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{18} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.186752$ |
$68417929/425$ |
$0.84846$ |
$3.93444$ |
$[0, 1, 0, -13633, 604863]$ |
\(y^2=x^3+x^2-13633x+604863\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.3, 68.12.0.e.1, $\ldots$ |
$[ ]$ |
| 27200.i2 |
27200ce2 |
27200.i |
27200ce |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{18} \cdot 5^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$1.533325$ |
$-4826809/180625$ |
$1.05314$ |
$4.08458$ |
$[0, 1, 0, -5633, 1316863]$ |
\(y^2=x^3+x^2-5633x+1316863\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[ ]$ |
| 27200.j1 |
27200cm2 |
27200.j |
27200cm |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{17} \cdot 5^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$3.009827100$ |
$1$ |
|
$5$ |
$36864$ |
$1.019447$ |
$6097250/289$ |
$0.87700$ |
$3.62977$ |
$[0, 1, 0, -4833, -125537]$ |
\(y^2=x^3+x^2-4833x-125537\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(-43, 68)]$ |
| 27200.j2 |
27200cm1 |
27200.j |
27200cm |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{16} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1.504913550$ |
$1$ |
|
$5$ |
$18432$ |
$0.672873$ |
$62500/17$ |
$0.89869$ |
$3.11331$ |
$[0, 1, 0, -833, 6463]$ |
\(y^2=x^3+x^2-833x+6463\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(7, 32)]$ |
| 27200.k1 |
27200cc2 |
27200.k |
27200cc |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{12} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16384$ |
$0.659273$ |
$19248832/17$ |
$0.91741$ |
$3.40294$ |
$[0, 1, 0, -2233, -41337]$ |
\(y^2=x^3+x^2-2233x-41337\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.3, 68.12.0.e.1, $\ldots$ |
$[ ]$ |
| 27200.k2 |
27200cc1 |
27200.k |
27200cc |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 5^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8192$ |
$0.312699$ |
$-140608/289$ |
$1.04671$ |
$2.66231$ |
$[0, 1, 0, -108, -962]$ |
\(y^2=x^3+x^2-108x-962\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[ ]$ |
| 27200.l1 |
27200cd1 |
27200.l |
27200cd |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{10} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.713480$ |
$19169739408976/10625$ |
$0.94563$ |
$4.89131$ |
$[0, 1, 0, -354033, 80962063]$ |
\(y^2=x^3+x^2-354033x+80962063\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.2, 68.24.0.f.1, $\ldots$ |
$[ ]$ |
| 27200.l2 |
27200cd2 |
27200.l |
27200cd |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{16} \cdot 5^{14} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.060055$ |
$-4711672753924/112890625$ |
$0.94623$ |
$4.89362$ |
$[0, 1, 0, -352033, 81924063]$ |
\(y^2=x^3+x^2-352033x+81924063\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[ ]$ |
| 27200.m1 |
27200l2 |
27200.m |
27200l |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{12} \cdot 5^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.23 |
2B |
$680$ |
$48$ |
$0$ |
$1.164241078$ |
$1$ |
|
$5$ |
$73728$ |
$1.526108$ |
$12352022024896/1445$ |
$0.95550$ |
$4.71250$ |
$[0, 1, 0, -192633, 32477863]$ |
\(y^2=x^3+x^2-192633x+32477863\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.1, 10.6.0.a.1, 20.12.0.e.1, $\ldots$ |
$[(298, 1275)]$ |
| 27200.m2 |
27200l1 |
27200.m |
27200l |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 5^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.6 |
2B |
$680$ |
$48$ |
$0$ |
$2.328482156$ |
$1$ |
|
$3$ |
$36864$ |
$1.179533$ |
$-191501383744/2088025$ |
$0.92014$ |
$3.89898$ |
$[0, 1, 0, -12008, 507238]$ |
\(y^2=x^3+x^2-12008x+507238\) |
2.3.0.a.1, 4.12.0-4.a.1.2, 20.24.0-20.d.1.2, 680.48.0.? |
$[(53, 150)]$ |
| 27200.n1 |
27200m1 |
27200.n |
27200m |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{22} \cdot 5^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$2.988699973$ |
$1$ |
|
$5$ |
$73728$ |
$1.305149$ |
$47045881/6800$ |
$0.98870$ |
$3.89776$ |
$[0, 1, 0, -12033, 436063]$ |
\(y^2=x^3+x^2-12033x+436063\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.2, 68.12.0.e.1, $\ldots$ |
$[(18, 475)]$ |
| 27200.n2 |
27200m2 |
27200.n |
27200m |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{20} \cdot 5^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1.494349986$ |
$1$ |
|
$7$ |
$147456$ |
$1.651722$ |
$214921799/722500$ |
$0.91035$ |
$4.20034$ |
$[0, 1, 0, 19967, 2388063]$ |
\(y^2=x^3+x^2+19967x+2388063\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[(-53, 1088)]$ |
| 27200.o1 |
27200n1 |
27200.o |
27200n |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{6} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1.863348760$ |
$1$ |
|
$5$ |
$16384$ |
$0.543089$ |
$35152/17$ |
$0.75928$ |
$2.92118$ |
$[0, 1, 0, -433, 1263]$ |
\(y^2=x^3+x^2-433x+1263\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.2, 68.24.0.f.1, $\ldots$ |
$[(19, 16)]$ |
| 27200.o2 |
27200n2 |
27200.o |
27200n |
$2$ |
$2$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{16} \cdot 5^{6} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$0.931674380$ |
$1$ |
|
$9$ |
$32768$ |
$0.889663$ |
$415292/289$ |
$0.87236$ |
$3.29878$ |
$[0, 1, 0, 1567, 11263]$ |
\(y^2=x^3+x^2+1567x+11263\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.1, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[(43, 400)]$ |
| 27200.p1 |
27200z4 |
27200.p |
27200z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{19} \cdot 5^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$2.023926$ |
$159661140625/48275138$ |
$1.06848$ |
$4.69393$ |
$[0, 1, 0, -180833, -20513537]$ |
\(y^2=x^3+x^2-180833x-20513537\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[ ]$ |
| 27200.p2 |
27200z3 |
27200.p |
27200z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{20} \cdot 5^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$1.677353$ |
$120920208625/19652$ |
$0.98564$ |
$4.66671$ |
$[0, 1, 0, -164833, -25809537]$ |
\(y^2=x^3+x^2-164833x-25809537\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[ ]$ |
| 27200.p3 |
27200z2 |
27200.p |
27200z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{21} \cdot 5^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.474621$ |
$8805624625/2312$ |
$0.96590$ |
$4.41015$ |
$[0, 1, 0, -68833, 6926463]$ |
\(y^2=x^3+x^2-68833x+6926463\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[ ]$ |
| 27200.p4 |
27200z1 |
27200.p |
27200z |
$4$ |
$6$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( 2^{24} \cdot 5^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$2040$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.128048$ |
$3048625/1088$ |
$0.90010$ |
$3.62977$ |
$[0, 1, 0, -4833, 78463]$ |
\(y^2=x^3+x^2-4833x+78463\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[ ]$ |
| 27200.q1 |
27200bm1 |
27200.q |
27200bm |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{22} \cdot 5^{8} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.258845316$ |
$1$ |
|
$6$ |
$1290240$ |
$2.685768$ |
$11053587253415/6565418768$ |
$1.03983$ |
$5.42416$ |
$[0, -1, 0, 2171167, -200674463]$ |
\(y^2=x^3-x^2+2171167x-200674463\) |
68.2.0.a.1 |
$[(9417, 924800)]$ |
| 27200.r1 |
27200bx1 |
27200.r |
27200bx |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{22} \cdot 5^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$258048$ |
$1.881050$ |
$11053587253415/6565418768$ |
$1.03983$ |
$4.47845$ |
$[0, -1, 0, 86847, 1570657]$ |
\(y^2=x^3-x^2+86847x+1570657\) |
68.2.0.a.1 |
$[ ]$ |
| 27200.s1 |
27200h1 |
27200.s |
27200h |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{17} \cdot 5^{7} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.806336412$ |
$1$ |
|
$4$ |
$18432$ |
$0.835792$ |
$-2/85$ |
$0.94658$ |
$3.26487$ |
$[0, -1, 0, -33, -20063]$ |
\(y^2=x^3-x^2-33x-20063\) |
680.2.0.? |
$[(57, 400)]$ |
| 27200.t1 |
27200g1 |
27200.t |
27200g |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{15} \cdot 5^{11} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1.077467210$ |
$1$ |
|
$2$ |
$46080$ |
$1.264980$ |
$55742968/53125$ |
$0.84898$ |
$3.71072$ |
$[0, -1, 0, 6367, 155137]$ |
\(y^2=x^3-x^2+6367x+155137\) |
680.2.0.? |
$[(32, 625)]$ |
| 27200.u1 |
27200cw1 |
27200.u |
27200cw |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{18} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$1.080248$ |
$-121945/17$ |
$0.76627$ |
$3.65091$ |
$[0, -1, 0, -4833, -142463]$ |
\(y^2=x^3-x^2-4833x-142463\) |
68.2.0.a.1 |
$[ ]$ |
| 27200.v1 |
27200bw1 |
27200.v |
27200bw |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 5^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$-0.148900$ |
$-87880000/17$ |
$0.97606$ |
$2.51392$ |
$[0, -1, 0, -108, -398]$ |
\(y^2=x^3-x^2-108x-398\) |
68.2.0.a.1 |
$[ ]$ |
| 27200.w1 |
27200ch2 |
27200.w |
27200ch |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 5^{2} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.209687655$ |
$1$ |
|
$6$ |
$6912$ |
$0.551436$ |
$-115431760/4913$ |
$0.96165$ |
$3.09061$ |
$[0, -1, 0, -753, 8497]$ |
\(y^2=x^3-x^2-753x+8497\) |
3.4.0.a.1, 68.2.0.a.1, 120.8.0.?, 204.8.0.?, 2040.16.0.? |
$[(33, 136)]$ |
| 27200.w2 |
27200ch1 |
27200.w |
27200ch |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.629062967$ |
$1$ |
|
$4$ |
$2304$ |
$0.002131$ |
$27440/17$ |
$0.71045$ |
$2.26645$ |
$[0, -1, 0, 47, 17]$ |
\(y^2=x^3-x^2+47x+17\) |
3.4.0.a.1, 68.2.0.a.1, 120.8.0.?, 204.8.0.?, 2040.16.0.? |
$[(1, 8)]$ |
| 27200.x1 |
27200bf2 |
27200.x |
27200bf |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 5^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.356155$ |
$-115431760/4913$ |
$0.96165$ |
$4.03632$ |
$[0, -1, 0, -18833, -1024463]$ |
\(y^2=x^3-x^2-18833x-1024463\) |
3.4.0.a.1, 24.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 408.16.0.? |
$[ ]$ |
| 27200.x2 |
27200bf1 |
27200.x |
27200bf |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{14} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.806849$ |
$27440/17$ |
$0.71045$ |
$3.21216$ |
$[0, -1, 0, 1167, -4463]$ |
\(y^2=x^3-x^2+1167x-4463\) |
3.4.0.a.1, 24.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 408.16.0.? |
$[ ]$ |
| 27200.y1 |
27200cv1 |
27200.y |
27200cv |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 5^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.655819$ |
$-87880000/17$ |
$0.97606$ |
$3.45963$ |
$[0, -1, 0, -2708, 55162]$ |
\(y^2=x^3-x^2-2708x+55162\) |
68.2.0.a.1 |
$[ ]$ |
| 27200.z1 |
27200f1 |
27200.z |
27200f |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{18} \cdot 5^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$0.584058931$ |
$1$ |
|
$4$ |
$6144$ |
$0.275528$ |
$-121945/17$ |
$0.76627$ |
$2.70520$ |
$[0, -1, 0, -193, 1217]$ |
\(y^2=x^3-x^2-193x+1217\) |
68.2.0.a.1 |
$[(1, 32)]$ |
| 27200.ba1 |
27200cp1 |
27200.ba |
27200cp |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{3} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1.005049870$ |
$1$ |
|
$4$ |
$21504$ |
$0.790429$ |
$-5177717/2176$ |
$0.86118$ |
$3.26225$ |
$[0, -1, 0, -1153, -19423]$ |
\(y^2=x^3-x^2-1153x-19423\) |
680.2.0.? |
$[(53, 256)]$ |
| 27200.bb1 |
27200bk1 |
27200.bb |
27200bk |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1.262493618$ |
$1$ |
|
$4$ |
$107520$ |
$1.595148$ |
$-5177717/2176$ |
$0.86118$ |
$4.20796$ |
$[0, -1, 0, -28833, 2485537]$ |
\(y^2=x^3-x^2-28833x+2485537\) |
680.2.0.? |
$[(1017, 32000)]$ |
| 27200.bc1 |
27200ci2 |
27200.bc |
27200ci |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{25} \cdot 5^{15} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1.351960355$ |
$1$ |
|
$2$ |
$1161216$ |
$2.934212$ |
$-32391289681150609/1228250000000$ |
$1.00352$ |
$5.89693$ |
$[0, -1, 0, -10625633, 13764923137]$ |
\(y^2=x^3-x^2-10625633x+13764923137\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(4752, 265625)]$ |
| 27200.bc2 |
27200ci1 |
27200.bc |
27200ci |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{39} \cdot 5^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$4.055881067$ |
$1$ |
|
$2$ |
$387072$ |
$2.384907$ |
$7023836099951/4456448000$ |
$0.99857$ |
$5.06451$ |
$[0, -1, 0, 638367, 60731137]$ |
\(y^2=x^3-x^2+638367x+60731137\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(232, 14875)]$ |
| 27200.bd1 |
27200cj1 |
27200.bd |
27200cj |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{21} \cdot 5^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$2.443012299$ |
$1$ |
|
$2$ |
$55296$ |
$1.338539$ |
$-1771561/17000$ |
$0.99970$ |
$3.85737$ |
$[0, -1, 0, -4033, -412063]$ |
\(y^2=x^3-x^2-4033x-412063\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(101, 448)]$ |
| 27200.bd2 |
27200cj2 |
27200.bd |
27200cj |
$2$ |
$3$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{27} \cdot 5^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$0.814337433$ |
$1$ |
|
$4$ |
$165888$ |
$1.887844$ |
$1256216039/12577280$ |
$0.94869$ |
$4.49280$ |
$[0, -1, 0, 35967, 10587937]$ |
\(y^2=x^3-x^2+35967x+10587937\) |
3.4.0.a.1, 102.8.0.?, 120.8.0.?, 680.2.0.?, 2040.16.0.? |
$[(373, 8704)]$ |
| 27200.be1 |
27200x1 |
27200.be |
27200x |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 5^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17280$ |
$0.605982$ |
$-1600/17$ |
$0.71616$ |
$2.99621$ |
$[0, -1, 0, -208, 5162]$ |
\(y^2=x^3-x^2-208x+5162\) |
68.2.0.a.1 |
$[ ]$ |
| 27200.bf1 |
27200bg1 |
27200.bf |
27200bg |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 17 \) |
\( - 2^{6} \cdot 5^{4} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3456$ |
$-0.198738$ |
$-1600/17$ |
$0.71616$ |
$2.05050$ |
$[0, -1, 0, -8, -38]$ |
\(y^2=x^3-x^2-8x-38\) |
68.2.0.a.1 |
$[ ]$ |
