| 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 |
| 406847.a1 |
406847a1 |
406847.a |
406847a |
$1$ |
$1$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( - 7^{6} \cdot 19^{7} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4752000$ |
$1.892084$ |
$-4096/10051$ |
$0.88562$ |
$3.56239$ |
$[0, -1, 1, -5896, -11347330]$ |
\(y^2+y=x^3-x^2-5896x-11347330\) |
38.2.0.a.1 |
$[]$ |
| 406847.b1 |
406847b1 |
406847.b |
406847b |
$1$ |
$1$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( - 7^{6} \cdot 19^{7} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6739200$ |
$2.417267$ |
$719323136/5316979$ |
$0.97988$ |
$4.04157$ |
$[0, -1, 1, 330195, 250467559]$ |
\(y^2+y=x^3-x^2+330195x+250467559\) |
38.2.0.a.1 |
$[]$ |
| 406847.c1 |
406847c4 |
406847.c |
406847c |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{10} \cdot 19^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24472$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$48660480$ |
$3.522552$ |
$9604063974002260113/19935503$ |
$1.11165$ |
$5.65575$ |
$[1, -1, 0, -783334148, -8438371144379]$ |
\(y^2+xy=x^3-x^2-783334148x-8438371144379\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 92.12.0.?, 152.12.0.?, $\ldots$ |
$[]$ |
| 406847.c2 |
406847c3 |
406847.c |
406847c |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{7} \cdot 19^{14} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24472$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$48660480$ |
$3.522552$ |
$5047466339151153/2734353649601$ |
$1.06141$ |
$5.07114$ |
$[1, -1, 0, -63214958, -48884123905]$ |
\(y^2+xy=x^3-x^2-63214958x-48884123905\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 76.12.0.?, 184.12.0.?, $\ldots$ |
$[]$ |
| 406847.c3 |
406847c2 |
406847.c |
406847c |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{8} \cdot 19^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12236$ |
$48$ |
$0$ |
$1$ |
$16$ |
$2$ |
$2$ |
$24330240$ |
$3.175980$ |
$2347175330898273/3378050641$ |
$1.22489$ |
$5.01185$ |
$[1, -1, 0, -48975313, -131744618160]$ |
\(y^2+xy=x^3-x^2-48975313x-131744618160\) |
2.6.0.a.1, 28.12.0.b.1, 76.12.0.?, 92.12.0.?, 532.24.0.?, $\ldots$ |
$[]$ |
| 406847.c4 |
406847c1 |
406847.c |
406847c |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( - 7^{7} \cdot 19^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24472$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12165120$ |
$2.829407$ |
$-209267191953/707158207$ |
$0.87856$ |
$4.43874$ |
$[1, -1, 0, -2187908, -3257046549]$ |
\(y^2+xy=x^3-x^2-2187908x-3257046549\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 76.12.0.?, $\ldots$ |
$[]$ |
| 406847.d1 |
406847d3 |
406847.d |
406847d |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{10} \cdot 19^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24472$ |
$48$ |
$0$ |
$7.415523651$ |
$1$ |
|
$0$ |
$6635520$ |
$2.339542$ |
$209267191953/55223$ |
$0.94092$ |
$4.28988$ |
$[1, -1, 0, -2187908, 1245900669]$ |
\(y^2+xy=x^3-x^2-2187908x+1245900669\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 92.12.0.?, 152.12.0.?, $\ldots$ |
$[(28004/7, 4528201/7)]$ |
| 406847.d2 |
406847d2 |
406847.d |
406847d |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{8} \cdot 19^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$12236$ |
$48$ |
$0$ |
$14.83104730$ |
$1$ |
|
$2$ |
$3317760$ |
$1.992968$ |
$72511713/25921$ |
$0.92625$ |
$3.67301$ |
$[1, -1, 0, -153673, 14374800]$ |
\(y^2+xy=x^3-x^2-153673x+14374800\) |
2.6.0.a.1, 28.12.0.b.1, 76.12.0.?, 92.12.0.?, 532.24.0.?, $\ldots$ |
$[(14360116/385, 32834654434/385)]$ |
| 406847.d3 |
406847d1 |
406847.d |
406847d |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{7} \cdot 19^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24472$ |
$48$ |
$0$ |
$7.415523651$ |
$1$ |
|
$1$ |
$1658880$ |
$1.646393$ |
$5545233/161$ |
$0.79467$ |
$3.47398$ |
$[1, -1, 0, -65228, -6232885]$ |
\(y^2+xy=x^3-x^2-65228x-6232885\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.z.1, 76.12.0.?, 184.12.0.?, $\ldots$ |
$[(358138/3, 213782717/3)]$ |
| 406847.d4 |
406847d4 |
406847.d |
406847d |
$4$ |
$4$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( - 7^{7} \cdot 19^{6} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$24472$ |
$48$ |
$0$ |
$29.66209460$ |
$1$ |
|
$0$ |
$6635520$ |
$2.339542$ |
$2014698447/1958887$ |
$0.97932$ |
$3.93040$ |
$[1, -1, 0, 465442, 100679431]$ |
\(y^2+xy=x^3-x^2+465442x+100679431\) |
2.3.0.a.1, 4.6.0.c.1, 14.6.0.b.1, 28.12.0.g.1, 76.12.0.?, $\ldots$ |
$[(143532197906101/60060, 1715514040811867044169/60060)]$ |
| 406847.e1 |
406847e2 |
406847.e |
406847e |
$2$ |
$2$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( 7^{8} \cdot 19^{10} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$136.8838360$ |
$1$ |
|
$0$ |
$122757120$ |
$3.771702$ |
$30144838467846390625/77695164743$ |
$0.98393$ |
$5.74431$ |
$[1, 1, 0, -1146919750, -14950667254263]$ |
\(y^2+xy=x^3+x^2-1146919750x-14950667254263\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(-62360817966257307344876026426835326630285348149514330849059312/56455957952816249985297391931, 875956160771883360004830423852922240240737554383590511608652737207619600001447789272887279/56455957952816249985297391931)]$ |
| 406847.e2 |
406847e1 |
406847.e |
406847e |
$2$ |
$2$ |
\( 7^{2} \cdot 19^{2} \cdot 23 \) |
\( - 7^{7} \cdot 19^{8} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$273.7676720$ |
$1$ |
|
$1$ |
$61378560$ |
$3.425129$ |
$-7093935953448625/374086691503$ |
$0.90836$ |
$5.10424$ |
$[1, 1, 0, -70809435, -239593582024]$ |
\(y^2+xy=x^3+x^2-70809435x-239593582024\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(1113889166604484428178797155395497136519408384884345760215869685300366676508800261043675620679655944890707240566843729320/8812003942855534429937729095968133492638688884865899818397, 886386944369275483638897483643462787418869324576940312382609006790075822428460528140931697274493948286665356737626379971568857289451302400737610171511910788784213102620946815956328/8812003942855534429937729095968133492638688884865899818397)]$ |
