| 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 |
| 4488.c4 |
4488f4 |
4488.c |
4488f |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$264$ |
$48$ |
$0$ |
$4.323630485$ |
$1$ |
|
$3$ |
$24576$ |
$1.688204$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.18334$ |
$[0, -1, 0, -17072, 3381708]$ |
\(y^2=x^3-x^2-17072x+3381708\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 264.48.0.? |
$[(213, 3060)]$ |
| 8976.bd4 |
8976k4 |
8976.bd |
8976k |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$49152$ |
$1.688204$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.78863$ |
$[0, 1, 0, -17072, -3381708]$ |
\(y^2=x^3+x^2-17072x-3381708\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 264.48.0.? |
$[]$ |
| 13464.e4 |
13464j4 |
13464.e |
13464j |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$4.030409639$ |
$1$ |
|
$3$ |
$196608$ |
$2.237511$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.27771$ |
$[0, 0, 0, -153651, -91152466]$ |
\(y^2=x^3-153651x-91152466\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[(694, 11682)]$ |
| 26928.t4 |
26928j3 |
26928.t |
26928j |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$393216$ |
$2.237511$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.91909$ |
$[0, 0, 0, -153651, 91152466]$ |
\(y^2=x^3-153651x+91152466\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[]$ |
| 35904.l4 |
35904bv3 |
35904.l |
35904bv |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{12} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.59 |
2B |
$264$ |
$48$ |
$0$ |
$9.209784082$ |
$1$ |
|
$1$ |
$393216$ |
$2.034779$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.55222$ |
$[0, -1, 0, -68289, -26985375]$ |
\(y^2=x^3-x^2-68289x-26985375\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.d.1.1, 264.48.0.? |
$[(72199/7, 19002192/7)]$ |
| 35904.bx4 |
35904bn3 |
35904.bx |
35904bn |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{12} \cdot 11^{4} \cdot 17^{2} \) |
$2$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.48 |
2B |
$264$ |
$48$ |
$0$ |
$1.354423009$ |
$1$ |
|
$35$ |
$393216$ |
$2.034779$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.55222$ |
$[0, 1, 0, -68289, 26985375]$ |
\(y^2=x^3+x^2-68289x+26985375\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.d.1.2, 264.48.0.? |
$[(-51, 5508), (153, 4488)]$ |
| 49368.o4 |
49368f3 |
49368.o |
49368f |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2949120$ |
$2.887154$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.36454$ |
$[0, -1, 0, -2065752, -4492790388]$ |
\(y^2=x^3-x^2-2065752x-4492790388\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 44.12.0-4.c.1.1, $\ldots$ |
$[]$ |
| 76296.r4 |
76296v3 |
76296.r |
76296v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$3.104813$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.38915$ |
$[0, 1, 0, -4933904, 16584728160]$ |
\(y^2=x^3+x^2-4933904x+16584728160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 68.12.0-4.c.1.1, 136.24.0.?, $\ldots$ |
$[]$ |
| 98736.db4 |
98736bc3 |
98736.db |
98736bc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1.539857765$ |
$1$ |
|
$7$ |
$5898240$ |
$2.887154$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.04121$ |
$[0, 1, 0, -2065752, 4492790388]$ |
\(y^2=x^3+x^2-2065752x+4492790388\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.3, 44.12.0-4.c.1.2, $\ldots$ |
$[(612, 58806)]$ |
| 107712.di4 |
107712z3 |
107712.di |
107712z |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{18} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3145728$ |
$2.584084$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.68949$ |
$[0, 0, 0, -614604, -729219728]$ |
\(y^2=x^3-614604x-729219728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.2, 24.24.0-8.d.1.2, $\ldots$ |
$[]$ |
| 107712.ej4 |
107712em3 |
107712.ej |
107712em |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 11 \cdot 17 \) |
\( - 2^{17} \cdot 3^{18} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3145728$ |
$2.584084$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.68949$ |
$[0, 0, 0, -614604, 729219728]$ |
\(y^2=x^3-614604x+729219728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 12.12.0-4.c.1.1, 24.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 112200.cq4 |
112200v3 |
112200.cq |
112200v |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 5^{6} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3145728$ |
$2.492924$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.57895$ |
$[0, 1, 0, -426808, 421859888]$ |
\(y^2=x^3+x^2-426808x+421859888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.1, 40.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 148104.u4 |
148104f3 |
148104.u |
148104f |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$264$ |
$48$ |
$0$ |
$3.228917330$ |
$4$ |
$2$ |
$3$ |
$23592960$ |
$3.436459$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.42318$ |
$[0, 0, 0, -18591771, 121323932246]$ |
\(y^2=x^3-18591771x+121323932246\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 132.12.0.?, 264.48.0.? |
$[(90046, 26991954)]$ |
| 152592.g4 |
152592dc4 |
152592.g |
152592dc |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{12} \cdot 11^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$4488$ |
$48$ |
$0$ |
$2.839642000$ |
$1$ |
|
$3$ |
$14155776$ |
$3.104813$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.07618$ |
$[0, -1, 0, -4933904, -16584728160]$ |
\(y^2=x^3-x^2-4933904x-16584728160\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 68.12.0-4.c.1.2, 136.24.0.?, $\ldots$ |
$[(11413, 1188946)]$ |
| 219912.bm4 |
219912c4 |
219912.bm |
219912c |
$4$ |
$4$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 7^{6} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1848$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$7077888$ |
$2.661160$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.49257$ |
$[0, 1, 0, -836544, -1158252768]$ |
\(y^2=x^3+x^2-836544x-1158252768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.1, 56.24.0-8.d.1.1, $\ldots$ |
$[]$ |
| 224400.n4 |
224400hq4 |
224400.n |
224400hq |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 5^{6} \cdot 11^{4} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6291456$ |
$2.492924$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.32135$ |
$[0, -1, 0, -426808, -421859888]$ |
\(y^2=x^3-x^2-426808x-421859888\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 20.12.0-4.c.1.2, 40.24.0-8.d.1.2, $\ldots$ |
$[]$ |
| 228888.cc4 |
228888cc4 |
228888.cc |
228888cc |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$4488$ |
$48$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$56623104$ |
$3.654118$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.44353$ |
$[0, 0, 0, -44405139, -447832065458]$ |
\(y^2=x^3-44405139x-447832065458\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 204.12.0.?, 264.24.0.?, $\ldots$ |
$[]$ |
| 296208.y4 |
296208y4 |
296208.y |
296208y |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 17 \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.106 |
2B |
$264$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$47185920$ |
$3.436459$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.12481$ |
$[0, 0, 0, -18591771, -121323932246]$ |
\(y^2=x^3-18591771x-121323932246\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.d.1.3, 132.12.0.?, 264.48.0.? |
$[]$ |
| 336600.eg4 |
336600eg4 |
336600.eg |
336600eg |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{18} \cdot 5^{6} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1320$ |
$48$ |
$0$ |
$13.55575295$ |
$1$ |
|
$1$ |
$25165824$ |
$3.042229$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.70162$ |
$[0, 0, 0, -3841275, -11394058250]$ |
\(y^2=x^3-3841275x-11394058250\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 60.12.0-4.c.1.1, 120.24.0.?, $\ldots$ |
$[(34720794/13, 204580588828/13)]$ |
| 394944.n4 |
394944n3 |
394944.n |
394944n |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{17} \cdot 3^{12} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$3.493234622$ |
$1$ |
|
$1$ |
$47185920$ |
$3.233727$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.82162$ |
$[0, -1, 0, -8263009, 35950586113]$ |
\(y^2=x^3-x^2-8263009x+35950586113\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.4, 44.12.0-4.c.1.1, $\ldots$ |
$[(93349/3, 27876464/3)]$ |
| 394944.ga4 |
394944ga4 |
394944.ga |
394944ga |
$4$ |
$4$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 17 \) |
\( - 2^{17} \cdot 3^{12} \cdot 11^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$264$ |
$48$ |
$0$ |
$6.273229506$ |
$1$ |
|
$3$ |
$47185920$ |
$3.233727$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.82162$ |
$[0, 1, 0, -8263009, -35950586113]$ |
\(y^2=x^3+x^2-8263009x-35950586113\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 24.24.0-8.d.1.4, 44.12.0-4.c.1.2, $\ldots$ |
$[(13658, 1548921)]$ |
| 439824.v4 |
439824v3 |
439824.v |
439824v |
$4$ |
$4$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( - 2^{11} \cdot 3^{12} \cdot 7^{6} \cdot 11^{4} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$1848$ |
$48$ |
$0$ |
$1.170632206$ |
$1$ |
|
$7$ |
$14155776$ |
$2.661160$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$4.25292$ |
$[0, -1, 0, -836544, 1158252768]$ |
\(y^2=x^3-x^2-836544x+1158252768\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 28.12.0-4.c.1.2, 56.24.0-8.d.1.2, $\ldots$ |
$[(-772, 36652)]$ |
| 457776.ei4 |
457776ei3 |
457776.ei |
457776ei |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 11 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{18} \cdot 11^{4} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.16 |
2B |
$4488$ |
$48$ |
$0$ |
$4.672020959$ |
$1$ |
|
$3$ |
$113246208$ |
$3.654118$ |
$-268702931670626/2248659199809$ |
$0.99347$ |
$5.15404$ |
$[0, 0, 0, -44405139, 447832065458]$ |
\(y^2=x^3-44405139x+447832065458\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.d.1, 204.12.0.?, 264.24.0.?, $\ldots$ |
$[(28594, 4749426)]$ |
