| 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 |
| 95139.a1 |
95139b2 |
95139.a |
95139b |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{3} \cdot 11^{2} \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$2.028892266$ |
$1$ |
|
$4$ |
$241920$ |
$1.228304$ |
$19034163/121$ |
$0.94120$ |
$3.54717$ |
$[1, -1, 1, -16037, -773350]$ |
\(y^2+xy+y=x^3-x^2-16037x-773350\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[(-69, 1)]$ |
| 95139.a2 |
95139b1 |
95139.a |
95139b |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{3} \cdot 11 \cdot 31^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.014446133$ |
$1$ |
|
$7$ |
$120960$ |
$0.881729$ |
$19683/11$ |
$1.13667$ |
$2.94748$ |
$[1, -1, 1, -1622, 5060]$ |
\(y^2+xy+y=x^3-x^2-1622x+5060\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[(70, 445)]$ |
| 95139.b1 |
95139i2 |
95139.b |
95139i |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{12} \cdot 11^{10} \cdot 31^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$105062400$ |
$4.375397$ |
$1717167849316307276617/563299624074237039$ |
$1.01968$ |
$6.63787$ |
$[1, -1, 1, -2157722429, -25389251914642]$ |
\(y^2+xy+y=x^3-x^2-2157722429x-25389251914642\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.? |
$[]$ |
| 95139.b2 |
95139i1 |
95139.b |
95139i |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{9} \cdot 11^{5} \cdot 31^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$52531200$ |
$4.028816$ |
$112331320422638310937/3859200593875737$ |
$1.00221$ |
$6.39998$ |
$[1, -1, 1, -869410634, 9569861629760]$ |
\(y^2+xy+y=x^3-x^2-869410634x+9569861629760\) |
2.3.0.a.1, 66.6.0.a.1, 124.6.0.?, 4092.12.0.? |
$[]$ |
| 95139.c1 |
95139j4 |
95139.c |
95139j |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{9} \cdot 11^{4} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.253666$ |
$347873904937/395307$ |
$1.00913$ |
$4.69077$ |
$[1, -1, 1, -1267259, 548870600]$ |
\(y^2+xy+y=x^3-x^2-1267259x+548870600\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0.h.1, 88.12.0.?, 124.12.0.?, $\ldots$ |
$[]$ |
| 95139.c2 |
95139j2 |
95139.c |
95139j |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{12} \cdot 11^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4092$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$2$ |
$691200$ |
$1.907095$ |
$169112377/88209$ |
$1.00669$ |
$4.02524$ |
$[1, -1, 1, -99644, 3827918]$ |
\(y^2+xy+y=x^3-x^2-99644x+3827918\) |
2.6.0.a.1, 12.12.0.a.1, 44.12.0.b.1, 124.12.0.?, 132.24.0.?, $\ldots$ |
$[]$ |
| 95139.c3 |
95139j1 |
95139.c |
95139j |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{9} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$345600$ |
$1.560520$ |
$30664297/297$ |
$1.09706$ |
$3.87628$ |
$[1, -1, 1, -56399, -5097850]$ |
\(y^2+xy+y=x^3-x^2-56399x-5097850\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.ba.1, 66.6.0.a.1, 88.12.0.?, $\ldots$ |
$[]$ |
| 95139.c4 |
95139j3 |
95139.c |
95139j |
$4$ |
$4$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{18} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$8184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1382400$ |
$2.253666$ |
$9090072503/5845851$ |
$1.03763$ |
$4.37282$ |
$[1, -1, 1, 376051, 29515448]$ |
\(y^2+xy+y=x^3-x^2+376051x+29515448\) |
2.3.0.a.1, 4.6.0.c.1, 22.6.0.a.1, 24.12.0.ba.1, 44.12.0.g.1, $\ldots$ |
$[]$ |
| 95139.d1 |
95139d1 |
95139.d |
95139d |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{7} \cdot 11^{4} \cdot 31^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$25.64846798$ |
$1$ |
|
$0$ |
$5297280$ |
$2.987457$ |
$31490048/43923$ |
$1.12765$ |
$5.10687$ |
$[0, 0, 1, 5541126, -5962020696]$ |
\(y^2+y=x^3+5541126x-5962020696\) |
6.2.0.a.1 |
$[(617131216666/22083, 597350981908245457/22083)]$ |
| 95139.e1 |
95139f1 |
95139.e |
95139f |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{7} \cdot 11^{4} \cdot 31^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.875994156$ |
$1$ |
|
$4$ |
$170880$ |
$1.270464$ |
$31490048/43923$ |
$1.12765$ |
$3.30945$ |
$[0, 0, 1, 5766, 200128]$ |
\(y^2+y=x^3+5766x+200128\) |
6.2.0.a.1 |
$[(16, 544)]$ |
| 95139.f1 |
95139c1 |
95139.f |
95139c |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{8} \cdot 11 \cdot 31^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$833280$ |
$1.910435$ |
$152303/99$ |
$0.78364$ |
$4.01263$ |
$[1, -1, 0, 94959, -3977564]$ |
\(y^2+xy=x^3-x^2+94959x-3977564\) |
22.2.0.a.1 |
$[]$ |
| 95139.g1 |
95139h1 |
95139.g |
95139h |
$1$ |
$1$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{8} \cdot 11 \cdot 31^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$22$ |
$2$ |
$0$ |
$2.406389629$ |
$1$ |
|
$4$ |
$26880$ |
$0.193442$ |
$152303/99$ |
$0.78364$ |
$2.21522$ |
$[1, -1, 0, 99, 108]$ |
\(y^2+xy=x^3-x^2+99x+108\) |
22.2.0.a.1 |
$[(12, 48), (3/2, 105/2)]$ |
| 95139.h1 |
95139e2 |
95139.h |
95139e |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{8} \cdot 11^{2} \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$8.161962617$ |
$1$ |
|
$0$ |
$1777664$ |
$2.444454$ |
$11089567/1089$ |
$0.83912$ |
$4.68626$ |
$[1, -1, 0, -1245636, 487901637]$ |
\(y^2+xy=x^3-x^2-1245636x+487901637\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.? |
$[(-2276/3, 760709/3)]$ |
| 95139.h2 |
95139e1 |
95139.h |
95139e |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{7} \cdot 11 \cdot 31^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$16.32392523$ |
$1$ |
|
$1$ |
$888832$ |
$2.097881$ |
$4913/33$ |
$0.77282$ |
$4.21864$ |
$[1, -1, 0, 94959, 36657360]$ |
\(y^2+xy=x^3-x^2+94959x+36657360\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 2046.6.0.?, 4092.12.0.? |
$[(2709940/147, 22380175390/147)]$ |
| 95139.i1 |
95139g2 |
95139.i |
95139g |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{8} \cdot 11^{2} \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57344$ |
$0.727463$ |
$11089567/1089$ |
$0.83912$ |
$2.88885$ |
$[1, -1, 0, -1296, -16043]$ |
\(y^2+xy=x^3-x^2-1296x-16043\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 4092.12.0.? |
$[]$ |
| 95139.i2 |
95139g1 |
95139.i |
95139g |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{7} \cdot 11 \cdot 31^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4092$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$28672$ |
$0.380889$ |
$4913/33$ |
$0.77282$ |
$2.42123$ |
$[1, -1, 0, 99, -1256]$ |
\(y^2+xy=x^3-x^2+99x-1256\) |
2.3.0.a.1, 124.6.0.?, 132.6.0.?, 2046.6.0.?, 4092.12.0.? |
$[]$ |
| 95139.j1 |
95139a2 |
95139.j |
95139a |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{9} \cdot 11^{2} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$725760$ |
$1.777609$ |
$19034163/121$ |
$0.94120$ |
$4.12220$ |
$[1, -1, 0, -144330, 21024773]$ |
\(y^2+xy=x^3-x^2-144330x+21024773\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.e.1, 132.12.0.? |
$[]$ |
| 95139.j2 |
95139a1 |
95139.j |
95139a |
$2$ |
$2$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( 3^{9} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$362880$ |
$1.431036$ |
$19683/11$ |
$1.13667$ |
$3.52252$ |
$[1, -1, 0, -14595, -122032]$ |
\(y^2+xy=x^3-x^2-14595x-122032\) |
2.3.0.a.1, 12.6.0.b.1, 44.6.0.e.1, 66.6.0.a.1, 132.12.0.? |
$[]$ |
| 95139.k1 |
95139k3 |
95139.k |
95139k |
$3$ |
$25$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{6} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.2 |
5B.4.2 |
$51150$ |
$1200$ |
$37$ |
$1$ |
$25$ |
$5$ |
$0$ |
$4387500$ |
$2.763008$ |
$-52893159101157376/11$ |
$1.09296$ |
$5.73167$ |
$[0, 0, 1, -67638063, -214108967133]$ |
\(y^2+y=x^3-67638063x-214108967133\) |
5.12.0.a.2, 22.2.0.a.1, 25.60.0.a.2, 110.24.1.?, 275.300.12.?, $\ldots$ |
$[]$ |
| 95139.k2 |
95139k2 |
95139.k |
95139k |
$3$ |
$25$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{6} \cdot 11^{5} \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.60.0.1 |
5Cs.4.1 |
$51150$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$877500$ |
$1.958290$ |
$-122023936/161051$ |
$1.01300$ |
$4.10041$ |
$[0, 0, 1, -89373, -18626823]$ |
\(y^2+y=x^3-89373x-18626823\) |
5.60.0.a.1, 22.2.0.a.1, 110.120.5.?, 275.300.12.?, 465.120.0.?, $\ldots$ |
$[]$ |
| 95139.k3 |
95139k1 |
95139.k |
95139k |
$3$ |
$25$ |
\( 3^{2} \cdot 11 \cdot 31^{2} \) |
\( - 3^{6} \cdot 11 \cdot 31^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
25.60.0.1 |
5B.4.1 |
$51150$ |
$1200$ |
$37$ |
$1$ |
$1$ |
|
$0$ |
$175500$ |
$1.153570$ |
$-4096/11$ |
$0.82546$ |
$3.24898$ |
$[0, 0, 1, -2883, 141507]$ |
\(y^2+y=x^3-2883x+141507\) |
5.12.0.a.1, 22.2.0.a.1, 25.60.0.a.1, 110.24.1.?, 275.300.12.?, $\ldots$ |
$[]$ |
