| 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 |
| 191466.a1 |
191466n2 |
191466.a |
191466n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{3} \cdot 3^{10} \cdot 11^{3} \cdot 967^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$255288$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$4575744$ |
$2.178696$ |
$-21710937579304890097/779888441064744$ |
$0.92504$ |
$4.20772$ |
$[1, -1, 0, -523071, 150191253]$ |
\(y^2+xy=x^3-x^2-523071x+150191253\) |
3.8.0-3.a.1.2, 85096.2.0.?, 255288.16.0.? |
$[]$ |
| 191466.a2 |
191466n1 |
191466.a |
191466n |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{9} \cdot 3^{18} \cdot 11 \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$255288$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1525248$ |
$1.629391$ |
$4505778534712463/2894304213504$ |
$0.90378$ |
$3.50552$ |
$[1, -1, 0, 30969, 687933]$ |
\(y^2+xy=x^3-x^2+30969x+687933\) |
3.8.0-3.a.1.1, 85096.2.0.?, 255288.16.0.? |
$[]$ |
| 191466.b1 |
191466o1 |
191466.b |
191466o |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2 \cdot 3^{13} \cdot 11 \cdot 967^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$255288$ |
$2$ |
$0$ |
$6.906201409$ |
$1$ |
|
$2$ |
$2069760$ |
$1.855467$ |
$70908079449065327/43506173365182$ |
$0.97034$ |
$3.73212$ |
$[1, -1, 0, 77607, -2061581]$ |
\(y^2+xy=x^3-x^2+77607x-2061581\) |
255288.2.0.? |
$[(849, 25561)]$ |
| 191466.c1 |
191466r1 |
191466.c |
191466r |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{32} \cdot 3^{9} \cdot 11^{3} \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9621504$ |
$2.751228$ |
$4199047739865752411763/5527953622433792$ |
$1.08036$ |
$4.90662$ |
$[1, -1, 0, -9074850, 10512511892]$ |
\(y^2+xy=x^3-x^2-9074850x+10512511892\) |
127644.2.0.? |
$[]$ |
| 191466.d1 |
191466p1 |
191466.d |
191466p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{7} \cdot 3^{7} \cdot 11^{3} \cdot 967 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$255288$ |
$2$ |
$0$ |
$5.856545326$ |
$1$ |
|
$2$ |
$446208$ |
$1.184355$ |
$-1315992262776625/494237568$ |
$0.86871$ |
$3.40438$ |
$[1, -1, 0, -20547, -1128875]$ |
\(y^2+xy=x^3-x^2-20547x-1128875\) |
255288.2.0.? |
$[(267, 3383)]$ |
| 191466.e1 |
191466s1 |
191466.e |
191466s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{3} \cdot 3^{3} \cdot 11^{2} \cdot 967^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$23208$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$380736$ |
$1.245874$ |
$-12543768502875/875295668984$ |
$0.91116$ |
$3.14547$ |
$[1, -1, 0, -1452, 235224]$ |
\(y^2+xy=x^3-x^2-1452x+235224\) |
3.8.0-3.a.1.2, 23208.16.0.? |
$[]$ |
| 191466.e2 |
191466s2 |
191466.e |
191466s |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{9} \cdot 3^{9} \cdot 11^{6} \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$23208$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1142208$ |
$1.795181$ |
$12495243340125/877106937344$ |
$0.91120$ |
$3.68625$ |
$[1, -1, 0, 13053, -6298795]$ |
\(y^2+xy=x^3-x^2+13053x-6298795\) |
3.8.0-3.a.1.1, 23208.16.0.? |
$[]$ |
| 191466.f1 |
191466q1 |
191466.f |
191466q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{18} \cdot 3^{15} \cdot 11 \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10782720$ |
$2.706909$ |
$2316749122311249228014593/54884583604224$ |
$0.97036$ |
$5.15470$ |
$[1, -1, 0, -24810048, 47571423232]$ |
\(y^2+xy=x^3-x^2-24810048x+47571423232\) |
127644.2.0.? |
$[]$ |
| 191466.g1 |
191466t1 |
191466.g |
191466t |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{16} \cdot 3^{9} \cdot 11 \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$1.307974$ |
$31015377733059/697106432$ |
$0.83930$ |
$3.36716$ |
$[1, -1, 0, -17673, -882163]$ |
\(y^2+xy=x^3-x^2-17673x-882163\) |
127644.2.0.? |
$[]$ |
| 191466.h1 |
191466k1 |
191466.h |
191466k |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{16} \cdot 3^{3} \cdot 11 \cdot 967 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$0.416600601$ |
$1$ |
|
$16$ |
$196608$ |
$0.758667$ |
$31015377733059/697106432$ |
$0.83930$ |
$2.82520$ |
$[1, -1, 1, -1964, 33327]$ |
\(y^2+xy+y=x^3-x^2-1964x+33327\) |
127644.2.0.? |
$[(21, 21), (29, -3)]$ |
| 191466.i1 |
191466a2 |
191466.i |
191466a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{2} \cdot 3^{6} \cdot 11 \cdot 967^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$42548$ |
$12$ |
$0$ |
$3.983249541$ |
$1$ |
|
$2$ |
$191232$ |
$0.778847$ |
$1091772468073/41143916$ |
$0.81217$ |
$2.82101$ |
$[1, -1, 1, -1931, -31089]$ |
\(y^2+xy+y=x^3-x^2-1931x-31089\) |
2.3.0.a.1, 44.6.0.a.1, 3868.6.0.?, 42548.12.0.? |
$[(51, 8)]$ |
| 191466.i2 |
191466a1 |
191466.i |
191466a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{2} \cdot 967 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$42548$ |
$12$ |
$0$ |
$1.991624770$ |
$1$ |
|
$5$ |
$95616$ |
$0.432273$ |
$18191447/1872112$ |
$0.79390$ |
$2.34190$ |
$[1, -1, 1, 49, -1785]$ |
\(y^2+xy+y=x^3-x^2+49x-1785\) |
2.3.0.a.1, 44.6.0.b.1, 1934.6.0.?, 42548.12.0.? |
$[(29, 138)]$ |
| 191466.j1 |
191466b1 |
191466.j |
191466b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{6} \cdot 3^{7} \cdot 11 \cdot 967 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$0.950255041$ |
$1$ |
|
$16$ |
$116736$ |
$0.587946$ |
$257380823881/2042304$ |
$0.79734$ |
$2.70221$ |
$[1, -1, 1, -1193, -15447]$ |
\(y^2+xy+y=x^3-x^2-1193x-15447\) |
127644.2.0.? |
$[(-19, 0), (-21, 8)]$ |
| 191466.k1 |
191466c1 |
191466.k |
191466c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{31} \cdot 3^{15} \cdot 11^{4} \cdot 967 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$23208$ |
$2$ |
$0$ |
$2.251161107$ |
$1$ |
|
$2$ |
$45782784$ |
$3.413742$ |
$-240485733454722137254419625/598436911327003803648$ |
$0.98480$ |
$5.53676$ |
$[1, -1, 1, -116599775, -485624236089]$ |
\(y^2+xy+y=x^3-x^2-116599775x-485624236089\) |
23208.2.0.? |
$[(12947, 411702)]$ |
| 191466.l1 |
191466d1 |
191466.l |
191466d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{5} \cdot 3^{9} \cdot 11 \cdot 967 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$255288$ |
$2$ |
$0$ |
$2.069333100$ |
$1$ |
|
$10$ |
$134400$ |
$0.568606$ |
$2833148375/9190368$ |
$0.78387$ |
$2.45703$ |
$[1, -1, 1, 265, 3503]$ |
\(y^2+xy+y=x^3-x^2+265x+3503\) |
255288.2.0.? |
$[(-9, 22), (9, 76)]$ |
| 191466.m1 |
191466l2 |
191466.m |
191466l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{2} \cdot 967^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$23208$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1142208$ |
$1.795181$ |
$-12543768502875/875295668984$ |
$0.91116$ |
$3.68744$ |
$[1, -1, 1, -13070, -6337979]$ |
\(y^2+xy+y=x^3-x^2-13070x-6337979\) |
3.8.0-3.a.1.1, 23208.16.0.? |
$[]$ |
| 191466.m2 |
191466l1 |
191466.m |
191466l |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{9} \cdot 3^{3} \cdot 11^{6} \cdot 967 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$23208$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$380736$ |
$1.245874$ |
$12495243340125/877106937344$ |
$0.91120$ |
$3.14428$ |
$[1, -1, 1, 1450, 232805]$ |
\(y^2+xy+y=x^3-x^2+1450x+232805\) |
3.8.0-3.a.1.2, 23208.16.0.? |
$[]$ |
| 191466.n1 |
191466e2 |
191466.n |
191466e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2 \cdot 3^{6} \cdot 11 \cdot 967^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$85096$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$115200$ |
$0.668348$ |
$101520779625/20571958$ |
$0.86883$ |
$2.62572$ |
$[1, -1, 1, -875, 8245]$ |
\(y^2+xy+y=x^3-x^2-875x+8245\) |
2.3.0.a.1, 88.6.0.?, 3868.6.0.?, 85096.12.0.? |
$[]$ |
| 191466.n2 |
191466e1 |
191466.n |
191466e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{2} \cdot 3^{6} \cdot 11^{2} \cdot 967 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$85096$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$57600$ |
$0.321774$ |
$232608375/468028$ |
$0.74277$ |
$2.20050$ |
$[1, -1, 1, 115, 721]$ |
\(y^2+xy+y=x^3-x^2+115x+721\) |
2.3.0.a.1, 88.6.0.?, 1934.6.0.?, 85096.12.0.? |
$[]$ |
| 191466.o1 |
191466f1 |
191466.o |
191466f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{2} \cdot 3^{9} \cdot 11^{3} \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$0.820584$ |
$529278808969/139004316$ |
$0.81170$ |
$2.76148$ |
$[1, -1, 1, -1517, -16423]$ |
\(y^2+xy+y=x^3-x^2-1517x-16423\) |
127644.2.0.? |
$[]$ |
| 191466.p1 |
191466m1 |
191466.p |
191466m |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{32} \cdot 3^{3} \cdot 11^{3} \cdot 967 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$0.709591138$ |
$1$ |
|
$14$ |
$3207168$ |
$2.201923$ |
$4199047739865752411763/5527953622433792$ |
$1.08036$ |
$4.36466$ |
$[1, -1, 1, -1008317, -389016187]$ |
\(y^2+xy+y=x^3-x^2-1008317x-389016187\) |
127644.2.0.? |
$[(-593, 648), (-14121/5, 1448/5)]$ |
| 191466.q1 |
191466g1 |
191466.q |
191466g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2 \cdot 3^{13} \cdot 11^{5} \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$255288$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1030400$ |
$1.511768$ |
$-462840639665977/681190650558$ |
$0.87943$ |
$3.42242$ |
$[1, -1, 1, -14504, -1261879]$ |
\(y^2+xy+y=x^3-x^2-14504x-1261879\) |
255288.2.0.? |
$[]$ |
| 191466.r1 |
191466h1 |
191466.r |
191466h |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{23} \cdot 3^{7} \cdot 11 \cdot 967 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$255288$ |
$2$ |
$0$ |
$0.358061255$ |
$1$ |
|
$6$ |
$889088$ |
$1.445417$ |
$-480287831410297/267688869888$ |
$0.87132$ |
$3.37691$ |
$[1, -1, 1, -14684, 963231]$ |
\(y^2+xy+y=x^3-x^2-14684x+963231\) |
255288.2.0.? |
$[(53, 549)]$ |
| 191466.s1 |
191466i1 |
191466.s |
191466i |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( - 2^{3} \cdot 3^{6} \cdot 11 \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$85096$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107136$ |
$0.426506$ |
$-109009845433/85096$ |
$0.78825$ |
$2.63168$ |
$[1, -1, 1, -896, -10101]$ |
\(y^2+xy+y=x^3-x^2-896x-10101\) |
85096.2.0.? |
$[]$ |
| 191466.t1 |
191466j1 |
191466.t |
191466j |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11 \cdot 967 \) |
\( 2^{10} \cdot 3^{19} \cdot 11 \cdot 967 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$127644$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1497600$ |
$1.779345$ |
$30154864531691593/17365825281024$ |
$0.94811$ |
$3.66182$ |
$[1, -1, 1, -58361, 393113]$ |
\(y^2+xy+y=x^3-x^2-58361x+393113\) |
127644.2.0.? |
$[]$ |
