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 |
96800.d1 |
96800bf1 |
96800.d |
96800bf |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$5.821502284$ |
$1$ |
|
$2$ |
$608256$ |
$1.819866$ |
$24200$ |
$0.82039$ |
$4.07208$ |
$[0, 1, 0, -122008, 15766188]$ |
\(y^2=x^3+x^2-122008x+15766188\) |
8.2.0.b.1 |
$[(-1, 3986)]$ |
96800.e1 |
96800cc1 |
96800.e |
96800cc |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$15.81074490$ |
$1$ |
|
$0$ |
$3041280$ |
$2.624584$ |
$24200$ |
$0.82039$ |
$4.91322$ |
$[0, 1, 0, -3050208, -1976873912]$ |
\(y^2=x^3+x^2-3050208x-1976873912\) |
8.2.0.b.1 |
$[(-15094394/123, 16029291482/123)]$ |
96800.m1 |
96800y1 |
96800.m |
96800y |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{10} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.425638$ |
$24200$ |
$0.82039$ |
$3.66001$ |
$[0, 1, 0, -25208, 1476088]$ |
\(y^2=x^3+x^2-25208x+1476088\) |
8.2.0.b.1 |
$[]$ |
96800.n1 |
96800cm1 |
96800.n |
96800cm |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{4} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$0.620919$ |
$24200$ |
$0.82039$ |
$2.81887$ |
$[0, 1, 0, -1008, -12212]$ |
\(y^2=x^3+x^2-1008x-12212\) |
8.2.0.b.1 |
$[]$ |
96800.cb1 |
96800t1 |
96800.cb |
96800t |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{10} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$276480$ |
$1.425638$ |
$24200$ |
$0.82039$ |
$3.66001$ |
$[0, -1, 0, -25208, -1476088]$ |
\(y^2=x^3-x^2-25208x-1476088\) |
8.2.0.b.1 |
$[]$ |
96800.cc1 |
96800ck1 |
96800.cc |
96800ck |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{4} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$0.620919$ |
$24200$ |
$0.82039$ |
$2.81887$ |
$[0, -1, 0, -1008, 12212]$ |
\(y^2=x^3-x^2-1008x+12212\) |
8.2.0.b.1 |
$[]$ |
96800.ck1 |
96800be1 |
96800.ck |
96800be |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$20.81313640$ |
$1$ |
|
$0$ |
$608256$ |
$1.819866$ |
$24200$ |
$0.82039$ |
$4.07208$ |
$[0, -1, 0, -122008, -15766188]$ |
\(y^2=x^3-x^2-122008x-15766188\) |
8.2.0.b.1 |
$[(-2063721812/3381, 22660525331326/3381)]$ |
96800.cl1 |
96800by1 |
96800.cl |
96800by |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{9} \cdot 5^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$65.76243312$ |
$1$ |
|
$0$ |
$3041280$ |
$2.624584$ |
$24200$ |
$0.82039$ |
$4.91322$ |
$[0, -1, 0, -3050208, 1976873912]$ |
\(y^2=x^3-x^2-3050208x+1976873912\) |
8.2.0.b.1 |
$[(32468522994747155266214421209/6190913549753, 92991667060811672151680373480359635051104/6190913549753)]$ |
193600.x1 |
193600k1 |
193600.x |
193600k |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{4} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.230066161$ |
$1$ |
|
$22$ |
$221184$ |
$0.967493$ |
$24200$ |
$0.82039$ |
$3.00000$ |
$[0, 1, 0, -4033, 93663]$ |
\(y^2=x^3+x^2-4033x+93663\) |
8.2.0.b.1 |
$[(-37, 440), (43, 40)]$ |
193600.ba1 |
193600u1 |
193600.ba |
193600u |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{10} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$3.625473196$ |
$1$ |
|
$2$ |
$1105920$ |
$1.772211$ |
$24200$ |
$0.82039$ |
$3.79325$ |
$[0, 1, 0, -100833, -11909537]$ |
\(y^2=x^3+x^2-100833x-11909537\) |
8.2.0.b.1 |
$[(-193, 632)]$ |
193600.ce1 |
193600bf1 |
193600.ce |
193600bf |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$21.11836627$ |
$1$ |
|
$0$ |
$12165120$ |
$2.971161$ |
$24200$ |
$0.82039$ |
$4.97510$ |
$[0, 1, 0, -12200833, 15802790463]$ |
\(y^2=x^3+x^2-12200833x+15802790463\) |
8.2.0.b.1 |
$[(-1977598447/703, 8271994838896/703)]$ |
193600.ch1 |
193600r1 |
193600.ch |
193600r |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.166439$ |
$24200$ |
$0.82039$ |
$4.18186$ |
$[0, 1, 0, -488033, -126617537]$ |
\(y^2=x^3+x^2-488033x-126617537\) |
8.2.0.b.1 |
$[]$ |
193600.hj1 |
193600el1 |
193600.hj |
193600el |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$26.02866310$ |
$1$ |
|
$0$ |
$12165120$ |
$2.971161$ |
$24200$ |
$0.82039$ |
$4.97510$ |
$[0, -1, 0, -12200833, -15802790463]$ |
\(y^2=x^3-x^2-12200833x-15802790463\) |
8.2.0.b.1 |
$[(655672688449/12297, 210346592162283656/12297)]$ |
193600.hm1 |
193600ec1 |
193600.hm |
193600ec |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2433024$ |
$2.166439$ |
$24200$ |
$0.82039$ |
$4.18186$ |
$[0, -1, 0, -488033, 126617537]$ |
\(y^2=x^3-x^2-488033x+126617537\) |
8.2.0.b.1 |
$[]$ |
193600.iq1 |
193600ei1 |
193600.iq |
193600ei |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{4} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$0.967493$ |
$24200$ |
$0.82039$ |
$3.00000$ |
$[0, -1, 0, -4033, -93663]$ |
\(y^2=x^3-x^2-4033x-93663\) |
8.2.0.b.1 |
$[]$ |
193600.it1 |
193600ex1 |
193600.it |
193600ex |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 11^{2} \) |
\( 2^{15} \cdot 5^{10} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$5.295485267$ |
$1$ |
|
$2$ |
$1105920$ |
$1.772211$ |
$24200$ |
$0.82039$ |
$3.79325$ |
$[0, -1, 0, -100833, 11909537]$ |
\(y^2=x^3-x^2-100833x+11909537\) |
8.2.0.b.1 |
$[(128, 1041)]$ |