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 |
115600.a1 |
115600cf2 |
115600.a |
115600cf |
$2$ |
$13$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{19} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.42.0.2 |
13B.5.2 |
$8840$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$317730816$ |
$4.490875$ |
$-45145776875761017/2441406250$ |
$1.08253$ |
$7.01860$ |
$[0, 0, 0, -14578222075, 677524878510250]$ |
\(y^2=x^3-14578222075x+677524878510250\) |
13.42.0.a.1, 221.84.2.?, 520.84.2.?, 680.2.0.?, 1768.168.2.?, $\ldots$ |
$[]$ |
115600.a2 |
115600cf1 |
115600.a |
115600cf |
$2$ |
$13$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{25} \cdot 5^{7} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$13$ |
13.42.0.1 |
13B.5.1 |
$8840$ |
$336$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$24440832$ |
$3.208401$ |
$-60698457/40960$ |
$0.97803$ |
$5.33267$ |
$[0, 0, 0, -16090075, -36561317750]$ |
\(y^2=x^3-16090075x-36561317750\) |
13.42.0.a.2, 221.84.2.?, 520.84.2.?, 680.2.0.?, 1768.168.2.?, $\ldots$ |
$[]$ |
115600.b1 |
115600ce1 |
115600.b |
115600ce |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{7} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.674200581$ |
$1$ |
|
$14$ |
$3317760$ |
$2.244507$ |
$-116930169/170$ |
$0.88233$ |
$4.59374$ |
$[0, 0, 0, -1177675, 492528250]$ |
\(y^2=x^3-1177675x+492528250\) |
680.2.0.? |
$[(255, 14450), (935, 14450)]$ |
115600.c1 |
115600dd1 |
115600.c |
115600dd |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{16} \cdot 5^{4} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1.394438296$ |
$1$ |
|
$4$ |
$1327104$ |
$1.796558$ |
$84375/272$ |
$1.04213$ |
$3.82723$ |
$[0, 0, 0, 36125, -5649950]$ |
\(y^2=x^3+36125x-5649950\) |
68.2.0.a.1 |
$[(119, 578)]$ |
115600.d1 |
115600cd1 |
115600.d |
115600cd |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{28} \cdot 5^{7} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$56401920$ |
$3.648621$ |
$-2346853689/327680$ |
$1.02534$ |
$5.84145$ |
$[0, 0, 0, -139897675, -709573535750]$ |
\(y^2=x^3-139897675x-709573535750\) |
20.2.0.a.1 |
$[]$ |
115600.e1 |
115600z1 |
115600.e |
115600z |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 5^{8} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1148160$ |
$1.807806$ |
$270$ |
$1.01898$ |
$3.84154$ |
$[0, 0, 0, 36125, 6141250]$ |
\(y^2=x^3+36125x+6141250\) |
8.2.0.a.1 |
$[]$ |
115600.f1 |
115600o1 |
115600.f |
115600o |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.446379261$ |
$1$ |
|
$6$ |
$221184$ |
$0.875132$ |
$-2443716/5$ |
$0.83590$ |
$3.17099$ |
$[0, 0, 0, -4675, 123250]$ |
\(y^2=x^3-4675x+123250\) |
20.2.0.a.1 |
$[(35, 50)]$ |
115600.g1 |
115600l1 |
115600.g |
115600l |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$7.783530412$ |
$1$ |
|
$0$ |
$3525120$ |
$2.559845$ |
$295936/5$ |
$0.80840$ |
$4.81492$ |
$[0, 1, 0, -2784033, -1762602437]$ |
\(y^2=x^3+x^2-2784033x-1762602437\) |
10.2.0.a.1 |
$[(-16407/4, 248125/4)]$ |
115600.h1 |
115600y2 |
115600.h |
115600y |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.346 |
2B |
$1360$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$165888$ |
$1.089960$ |
$78608$ |
$0.87912$ |
$3.31492$ |
$[0, 1, 0, -8188, -284772]$ |
\(y^2=x^3+x^2-8188x-284772\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 10.6.0.a.1, 16.96.3.ey.1, $\ldots$ |
$[]$ |
115600.h2 |
115600y1 |
115600.h |
115600y |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.338 |
2B |
$1360$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$0.743387$ |
$2048$ |
$1.01898$ |
$2.76421$ |
$[0, 1, 0, -963, 4228]$ |
\(y^2=x^3+x^2-963x+4228\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 10.6.0.a.1, 16.96.3.ey.2, $\ldots$ |
$[]$ |
115600.i1 |
115600k1 |
115600.i |
115600k |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{10} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$6.339985289$ |
$1$ |
|
$3$ |
$5308416$ |
$2.783512$ |
$19169739408976/10625$ |
$0.94563$ |
$5.38566$ |
$[0, 1, 0, -25578908, 49784774188]$ |
\(y^2=x^3+x^2-25578908x+49784774188\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.1, 68.24.0.f.1, $\ldots$ |
$[(2434, 44176)]$ |
115600.i2 |
115600k2 |
115600.i |
115600k |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{14} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$3.169992644$ |
$1$ |
|
$3$ |
$10616832$ |
$3.130089$ |
$-4711672753924/112890625$ |
$0.94623$ |
$5.38768$ |
$[0, 1, 0, -25434408, 50375201188]$ |
\(y^2=x^3+x^2-25434408x+50375201188\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0-4.a.1.2, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[(4448, 158950)]$ |
115600.j1 |
115600cl1 |
115600.j |
115600cl |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.406142575$ |
$1$ |
|
$6$ |
$2467584$ |
$2.236862$ |
$8912896/5$ |
$0.97434$ |
$4.62095$ |
$[0, 1, 0, -1310133, 576476863]$ |
\(y^2=x^3+x^2-1310133x+576476863\) |
10.2.0.a.1 |
$[(963, 14450)]$ |
115600.k1 |
115600cj2 |
115600.k |
115600cj |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 5^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1.272970980$ |
$1$ |
|
$4$ |
$5287680$ |
$2.812809$ |
$-215038729/1000$ |
$0.90188$ |
$5.13253$ |
$[0, 1, 0, -9539408, 11382743188]$ |
\(y^2=x^3+x^2-9539408x+11382743188\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 40.2.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[(-3372, 72250)]$ |
115600.k2 |
115600cj1 |
115600.k |
115600cj |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$3.818912940$ |
$1$ |
|
$2$ |
$1762560$ |
$2.263500$ |
$5831/10$ |
$0.75914$ |
$4.28772$ |
$[0, 1, 0, 286592, 82843188]$ |
\(y^2=x^3+x^2+286592x+82843188\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 40.2.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(-212, 3550)]$ |
115600.l1 |
115600x1 |
115600.l |
115600x |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{9} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$0.895477$ |
$17408$ |
$0.68528$ |
$3.04182$ |
$[0, 1, 0, -2833, -56037]$ |
\(y^2=x^3+x^2-2833x-56037\) |
10.2.0.a.1 |
$[]$ |
115600.m1 |
115600bb1 |
115600.m |
115600bb |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$10$ |
$2$ |
$0$ |
$1.527315841$ |
$1$ |
|
$0$ |
$391680$ |
$1.507364$ |
$17408$ |
$0.68528$ |
$3.67167$ |
$[0, 1, 0, -32753, -2176277]$ |
\(y^2=x^3+x^2-32753x-2176277\) |
10.2.0.a.1 |
$[(-483/2, 1445/2)]$ |
115600.n1 |
115600i2 |
115600.n |
115600i |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{11} \cdot 5^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$2.750855513$ |
$1$ |
|
$3$ |
$1327104$ |
$2.089481$ |
$6097250/289$ |
$0.87700$ |
$4.28069$ |
$[0, 1, 0, -349208, -76222412]$ |
\(y^2=x^3+x^2-349208x-76222412\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(759, 9826)]$ |
115600.n2 |
115600i1 |
115600.n |
115600i |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{6} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1.375427756$ |
$1$ |
|
$7$ |
$663552$ |
$1.742907$ |
$62500/17$ |
$0.89869$ |
$3.82833$ |
$[0, 1, 0, -60208, 4119588]$ |
\(y^2=x^3+x^2-60208x+4119588\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(334, 4624)]$ |
115600.o1 |
115600j2 |
115600.o |
115600j |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{10} \cdot 5^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$680$ |
$48$ |
$1$ |
$4.848556905$ |
$1$ |
|
$3$ |
$2506752$ |
$2.431118$ |
$1098500$ |
$0.91788$ |
$4.80331$ |
$[0, 1, 0, -2661208, 1668759588]$ |
\(y^2=x^3+x^2-2661208x+1668759588\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[(914, 896)]$ |
115600.o2 |
115600j1 |
115600.o |
115600j |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{8} \cdot 5^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.12.0.18 |
2B |
$680$ |
$48$ |
$1$ |
$9.697113810$ |
$1$ |
|
$1$ |
$1253376$ |
$2.084545$ |
$2000$ |
$0.77446$ |
$4.14326$ |
$[0, 1, 0, -204708, 13078588]$ |
\(y^2=x^3+x^2-204708x+13078588\) |
2.3.0.a.1, 4.6.0.d.1, 8.12.0.x.1, 34.6.0.a.1, 68.12.0.i.1, $\ldots$ |
$[(-19522/7, 1926784/7)]$ |
115600.p1 |
115600ca1 |
115600.p |
115600ca |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{8} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$2.256786$ |
$68417929/425$ |
$0.84846$ |
$4.54755$ |
$[0, 1, 0, -985008, 373923988]$ |
\(y^2=x^3+x^2-985008x+373923988\) |
2.3.0.a.1, 4.6.0.b.1, 34.6.0.a.1, 40.12.0-4.b.1.4, 68.12.0.e.1, $\ldots$ |
$[]$ |
115600.p2 |
115600ca2 |
115600.p |
115600ca |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{10} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$2.603359$ |
$-4826809/180625$ |
$1.05314$ |
$4.67906$ |
$[0, 1, 0, -407008, 809735988]$ |
\(y^2=x^3+x^2-407008x+809735988\) |
2.3.0.a.1, 4.6.0.a.1, 40.12.0-4.a.1.2, 68.12.0.d.1, 136.24.0.?, $\ldots$ |
$[]$ |
115600.q1 |
115600ck2 |
115600.q |
115600ck |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$2.493139867$ |
$1$ |
|
$0$ |
$9517824$ |
$3.051315$ |
$244534214656/5$ |
$1.09168$ |
$5.73540$ |
$[0, 1, 0, -99570133, 382387815363]$ |
\(y^2=x^3+x^2-99570133x+382387815363\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.4, 30.8.0.a.1, 60.16.0-30.a.1.3 |
$[(91993/4, 93925/4)]$ |
115600.q2 |
115600ck1 |
115600.q |
115600ck |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( 2^{12} \cdot 5^{9} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$7.479419603$ |
$1$ |
|
$0$ |
$3172608$ |
$2.502007$ |
$557056/125$ |
$0.86191$ |
$4.62095$ |
$[0, 1, 0, -1310133, 451195363]$ |
\(y^2=x^3+x^2-1310133x+451195363\) |
3.4.0.a.1, 10.2.0.a.1, 12.8.0-3.a.1.3, 30.8.0.a.1, 60.16.0-30.a.1.2 |
$[(-18607/4, 1285375/4)]$ |
115600.r1 |
115600dh2 |
115600.r |
115600dh |
$2$ |
$17$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{29} \cdot 5^{9} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.2 |
17B.4.2 |
$680$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$24969600$ |
$3.500858$ |
$-882216989/131072$ |
$0.95690$ |
$5.68670$ |
$[0, 1, 0, -76356208, 287870661588]$ |
\(y^2=x^3+x^2-76356208x+287870661588\) |
17.72.1.b.2, 40.2.0.a.1, 85.144.5.?, 136.144.5.?, 340.288.5.?, $\ldots$ |
$[]$ |
115600.r2 |
115600dh1 |
115600.r |
115600dh |
$2$ |
$17$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.4 |
17B.4.6 |
$680$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$1468800$ |
$2.084251$ |
$-297756989/2$ |
$0.98541$ |
$4.60181$ |
$[0, 1, 0, -1216208, -516658412]$ |
\(y^2=x^3+x^2-1216208x-516658412\) |
17.72.1.b.1, 40.2.0.a.1, 85.144.5.?, 136.144.5.?, 340.288.5.?, $\ldots$ |
$[]$ |
115600.s1 |
115600dc2 |
115600.s |
115600dc |
$2$ |
$17$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.4 |
17B.4.6 |
$680$ |
$576$ |
$17$ |
$18.18639528$ |
$1$ |
|
$0$ |
$4993920$ |
$2.696136$ |
$-297756989/2$ |
$0.98541$ |
$5.23165$ |
$[0, 1, 0, -14059368, -20295494732]$ |
\(y^2=x^3+x^2-14059368x-20295494732\) |
17.72.1.b.1, 40.2.0.a.1, 85.144.5.?, 136.144.5.?, 340.288.5.?, $\ldots$ |
$[(762511878/191, 20690852792440/191)]$ |
115600.s2 |
115600dc1 |
115600.s |
115600dc |
$2$ |
$17$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{29} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$17$ |
17.72.1.2 |
17B.4.2 |
$680$ |
$576$ |
$17$ |
$1.069787957$ |
$1$ |
|
$4$ |
$293760$ |
$1.279531$ |
$-882216989/131072$ |
$0.95690$ |
$3.40018$ |
$[0, 1, 0, -10568, 465268]$ |
\(y^2=x^3+x^2-10568x+465268\) |
17.72.1.b.2, 40.2.0.a.1, 85.144.5.?, 136.144.5.?, 340.288.5.?, $\ldots$ |
$[(478, 10240)]$ |
115600.t1 |
115600m1 |
115600.t |
115600m |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 5^{15} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$3.277184316$ |
$1$ |
|
$2$ |
$933120$ |
$1.808851$ |
$3374596798/1953125$ |
$1.14976$ |
$3.85037$ |
$[0, 1, 0, 65592, -48812]$ |
\(y^2=x^3+x^2+65592x-48812\) |
40.2.0.a.1 |
$[(9788, 968750)]$ |
115600.u1 |
115600ci1 |
115600.u |
115600ci |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{7} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.664360226$ |
$1$ |
|
$6$ |
$1880064$ |
$2.208378$ |
$5831/5$ |
$0.74598$ |
$4.22984$ |
$[0, -1, 0, 286592, -41082688]$ |
\(y^2=x^3-x^2+286592x-41082688\) |
20.2.0.a.1 |
$[(482, 14450)]$ |
115600.v1 |
115600u1 |
115600.v |
115600u |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{11} \cdot 5^{9} \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$3.212607762$ |
$1$ |
|
$8$ |
$4976640$ |
$2.715076$ |
$-63710026/4913$ |
$0.87492$ |
$4.90687$ |
$[0, -1, 0, -3817208, 3057112912]$ |
\(y^2=x^3-x^2-3817208x+3057112912\) |
680.2.0.? |
$[(-4107/2, 614125/2), (-1558, 72250)]$ |
115600.w1 |
115600p1 |
115600.w |
115600p |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{10} \cdot 5^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$331776$ |
$1.408617$ |
$-1156/125$ |
$0.93296$ |
$3.44911$ |
$[0, -1, 0, -2408, -622688]$ |
\(y^2=x^3-x^2-2408x-622688\) |
20.2.0.a.1 |
$[]$ |
115600.x1 |
115600bq4 |
115600.x |
115600bq |
$4$ |
$15$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 5^{10} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$3628800$ |
$2.737679$ |
$-349938025/8$ |
$1.05078$ |
$5.23978$ |
$[0, -1, 0, -14510208, 21279718912]$ |
\(y^2=x^3-x^2-14510208x+21279718912\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[]$ |
115600.x2 |
115600bq3 |
115600.x |
115600bq |
$4$ |
$15$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{10} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1209600$ |
$2.188374$ |
$-25/2$ |
$1.09044$ |
$4.25176$ |
$[0, -1, 0, -60208, 67118912]$ |
\(y^2=x^3-x^2-60208x+67118912\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[]$ |
115600.x3 |
115600bq1 |
115600.x |
115600bq |
$4$ |
$15$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$241920$ |
$1.383654$ |
$-121945/32$ |
$0.94334$ |
$3.48444$ |
$[0, -1, 0, -13968, -761408]$ |
\(y^2=x^3-x^2-13968x-761408\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[]$ |
115600.x4 |
115600bq2 |
115600.x |
115600bq |
$4$ |
$15$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{27} \cdot 5^{2} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$2040$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$725760$ |
$1.932961$ |
$46969655/32768$ |
$1.06296$ |
$3.96306$ |
$[0, -1, 0, 101632, 5619712]$ |
\(y^2=x^3-x^2+101632x+5619712\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[]$ |
115600.y1 |
115600bp1 |
115600.y |
115600bp |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{15} \cdot 5^{9} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1990656$ |
$2.408573$ |
$-1771561/17000$ |
$0.99970$ |
$4.48005$ |
$[0, -1, 0, -291408, -253786688]$ |
\(y^2=x^3-x^2-291408x-253786688\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[]$ |
115600.y2 |
115600bp2 |
115600.y |
115600bp |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{21} \cdot 5^{7} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5971968$ |
$2.957878$ |
$1256216039/12577280$ |
$0.94869$ |
$5.03661$ |
$[0, -1, 0, 2598592, 6508813312]$ |
\(y^2=x^3-x^2+2598592x+6508813312\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[]$ |
115600.z1 |
115600cy2 |
115600.z |
115600cy |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$7.774287570$ |
$1$ |
|
$0$ |
$3655680$ |
$2.768284$ |
$-18170704189/32$ |
$0.99680$ |
$5.34128$ |
$[0, -1, 0, -21527128, -38436767248]$ |
\(y^2=x^3-x^2-21527128x-38436767248\) |
5.6.0.a.1, 40.12.0.bx.2, 85.12.0.?, 340.24.0.?, 680.48.1.? |
$[(2365612/21, 187873120/21)]$ |
115600.z2 |
115600cy1 |
115600.z |
115600cy |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{3} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$1.554857514$ |
$1$ |
|
$4$ |
$731136$ |
$1.963564$ |
$1331/2$ |
$0.94388$ |
$3.97212$ |
$[0, -1, 0, 90072, -13176848]$ |
\(y^2=x^3-x^2+90072x-13176848\) |
5.6.0.a.1, 40.12.0.bx.1, 85.12.0.?, 340.24.0.?, 680.48.1.? |
$[(3372, 196520)]$ |
115600.ba1 |
115600bo2 |
115600.ba |
115600bo |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{19} \cdot 5^{15} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$41803776$ |
$4.004242$ |
$-32391289681150609/1228250000000$ |
$1.00352$ |
$6.26647$ |
$[0, -1, 0, -767702008, 8451464166512]$ |
\(y^2=x^3-x^2-767702008x+8451464166512\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[]$ |
115600.ba2 |
115600bo1 |
115600.ba |
115600bo |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{33} \cdot 5^{9} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2040$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13934592$ |
$3.454941$ |
$7023836099951/4456448000$ |
$0.99857$ |
$5.53737$ |
$[0, -1, 0, 46121992, 37411814512]$ |
\(y^2=x^3-x^2+46121992x+37411814512\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 680.2.0.?, 1020.8.0.?, 2040.16.0.? |
$[]$ |
115600.bb1 |
115600cx2 |
115600.bb |
115600cx |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$8.078031024$ |
$1$ |
|
$0$ |
$1075200$ |
$2.156395$ |
$-18170704189/32$ |
$0.99680$ |
$4.71144$ |
$[0, -1, 0, -1862208, -977497088]$ |
\(y^2=x^3-x^2-1862208x-977497088\) |
5.6.0.a.1, 40.12.0.bx.2, 85.12.0.?, 340.24.0.?, 680.48.1.? |
$[(64978/3, 16241750/3)]$ |
115600.bb2 |
115600cx1 |
115600.bb |
115600cx |
$2$ |
$5$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{13} \cdot 5^{9} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$680$ |
$48$ |
$1$ |
$1.615606204$ |
$1$ |
|
$4$ |
$215040$ |
$1.351677$ |
$1331/2$ |
$0.94388$ |
$3.34227$ |
$[0, -1, 0, 7792, -337088]$ |
\(y^2=x^3-x^2+7792x-337088\) |
5.6.0.a.1, 40.12.0.bx.1, 85.12.0.?, 340.24.0.?, 680.48.1.? |
$[(42, 250)]$ |
115600.bc1 |
115600cv1 |
115600.bc |
115600cv |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{19} \cdot 5^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$2.025542557$ |
$1$ |
|
$4$ |
$774144$ |
$1.860462$ |
$-5177717/2176$ |
$0.86118$ |
$3.95879$ |
$[0, -1, 0, -83328, -12136448]$ |
\(y^2=x^3-x^2-83328x-12136448\) |
680.2.0.? |
$[(346, 578)]$ |
115600.bd1 |
115600bl1 |
115600.bd |
115600bl |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{17} \cdot 5^{13} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21934080$ |
$3.537075$ |
$2336752783/2500000$ |
$0.97684$ |
$5.57951$ |
$[0, -1, 0, 54329592, -142016956688]$ |
\(y^2=x^3-x^2+54329592x-142016956688\) |
680.2.0.? |
$[]$ |
115600.be1 |
115600cw1 |
115600.be |
115600cw |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{12} \cdot 5^{8} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$5.934511795$ |
$1$ |
|
$0$ |
$1105920$ |
$2.150280$ |
$-121945/17$ |
$0.76627$ |
$4.29921$ |
$[0, -1, 0, -349208, -88363088]$ |
\(y^2=x^3-x^2-349208x-88363088\) |
68.2.0.a.1 |
$[(17354/5, 224842/5)]$ |
115600.bf1 |
115600bm2 |
115600.bf |
115600bm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$248832$ |
$1.621469$ |
$-115431760/4913$ |
$0.96165$ |
$3.80845$ |
$[0, -1, 0, -54428, 5082172]$ |
\(y^2=x^3-x^2-54428x+5082172\) |
3.4.0.a.1, 30.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1020.16.0.? |
$[]$ |
115600.bf2 |
115600bm1 |
115600.bf |
115600bm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \) |
\( - 2^{8} \cdot 5^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82944$ |
$1.072165$ |
$27440/17$ |
$0.71045$ |
$3.08659$ |
$[0, -1, 0, 3372, 18892]$ |
\(y^2=x^3-x^2+3372x+18892\) |
3.4.0.a.1, 30.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1020.16.0.? |
$[]$ |