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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
4719.d1 |
4719b1 |
4719.d |
4719b |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$1.647549$ |
$-462482914449031168/3326427$ |
$[0, -1, 1, -394137, -95108641]$ |
\(y^2+y=x^3-x^2-394137x-95108641\) |
6.2.0.a.1 |
$[]$ |
4719.g1 |
4719g1 |
4719.g |
4719g |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$7.519269176$ |
$1$ |
|
$2$ |
$342144$ |
$2.846497$ |
$-462482914449031168/3326427$ |
$[0, -1, 1, -47690617, 126780363258]$ |
\(y^2+y=x^3-x^2-47690617x+126780363258\) |
6.2.0.a.1 |
$[(9308, 699445)]$ |
14157.i1 |
14157i1 |
14157.i |
14157i |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{15} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.547556978$ |
$1$ |
|
$4$ |
$248832$ |
$2.196854$ |
$-462482914449031168/3326427$ |
$[0, 0, 1, -3547236, 2571480535]$ |
\(y^2+y=x^3-3547236x+2571480535\) |
6.2.0.a.1 |
$[(1081, 364)]$ |
14157.l1 |
14157s1 |
14157.l |
14157s |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{15} \cdot 11^{10} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$2737152$ |
$3.395802$ |
$-462482914449031168/3326427$ |
$[0, 0, 1, -429215556, -3422640592418]$ |
\(y^2+y=x^3-429215556x-3422640592418\) |
6.2.0.a.1 |
$[]$ |
61347.k1 |
61347h1 |
61347.k |
61347h |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{10} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57480192$ |
$4.128967$ |
$-462482914449031168/3326427$ |
$[0, -1, 1, -8059714329, 278504219221139]$ |
\(y^2+y=x^3-x^2-8059714329x+278504219221139\) |
6.2.0.a.1 |
$[]$ |
61347.p1 |
61347g1 |
61347.p |
61347g |
$1$ |
$1$ |
\( 3 \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{9} \cdot 11^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$5225472$ |
$2.930023$ |
$-462482914449031168/3326427$ |
$[0, -1, 1, -66609209, -209220120484]$ |
\(y^2+y=x^3-x^2-66609209x-209220120484\) |
6.2.0.a.1 |
$[]$ |
75504.ch1 |
75504db1 |
75504.ch |
75504db |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$28.42319146$ |
$1$ |
|
$0$ |
$24634368$ |
$3.539642$ |
$-462482914449031168/3326427$ |
$[0, 1, 0, -763049877, -8113180198653]$ |
\(y^2=x^3+x^2-763049877x-8113180198653\) |
6.2.0.a.1 |
$[(63591324119454/41809, 256060795280532286707/41809)]$ |
75504.cs1 |
75504co1 |
75504.cs |
75504co |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{9} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2239488$ |
$2.340694$ |
$-462482914449031168/3326427$ |
$[0, 1, 0, -6306197, 6093259203]$ |
\(y^2=x^3+x^2-6306197x+6093259203\) |
6.2.0.a.1 |
$[]$ |
117975.bf1 |
117975bk1 |
117975.bf |
117975bk |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.313686149$ |
$1$ |
|
$4$ |
$43794432$ |
$3.651215$ |
$-462482914449031168/3326427$ |
$[0, 1, 1, -1192265433, 15845160876419]$ |
\(y^2+y=x^3+x^2-1192265433x+15845160876419\) |
6.2.0.a.1 |
$[(19953, 4387)]$ |
117975.br1 |
117975bv1 |
117975.br |
117975bv |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3981312$ |
$2.452267$ |
$-462482914449031168/3326427$ |
$[0, 1, 1, -9853433, -11908286956]$ |
\(y^2+y=x^3+x^2-9853433x-11908286956\) |
6.2.0.a.1 |
$[]$ |
184041.be1 |
184041u1 |
184041.be |
184041u |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 11^{10} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$80.31664248$ |
$1$ |
|
$0$ |
$459841536$ |
$4.678276$ |
$-462482914449031168/3326427$ |
$[0, 0, 1, -72537428964, -7519541381541797]$ |
\(y^2+y=x^3-72537428964x-7519541381541797\) |
6.2.0.a.1 |
$[(30422769610872126391762583759270589379/5501263893369137, 161021736288048899637252587755417239090908971855687896422/5501263893369137)]$ |
184041.bj1 |
184041z1 |
184041.bj |
184041z |
$1$ |
$1$ |
\( 3^{2} \cdot 11^{2} \cdot 13^{2} \) |
\( - 3^{15} \cdot 11^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1.582650194$ |
$1$ |
|
$2$ |
$41803776$ |
$3.479328$ |
$-462482914449031168/3326427$ |
$[0, 0, 1, -599482884, 5649542735944]$ |
\(y^2+y=x^3-599482884x+5649542735944\) |
6.2.0.a.1 |
$[(14014, 25096)]$ |
226512.w1 |
226512j1 |
226512.w |
226512j |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{15} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$12.40943848$ |
$1$ |
|
$0$ |
$197074944$ |
$4.088951$ |
$-462482914449031168/3326427$ |
$[0, 0, 0, -6867448896, 219048997914736]$ |
\(y^2=x^3-6867448896x+219048997914736\) |
6.2.0.a.1 |
$[(40230921/29, 79670461/29)]$ |
226512.cd1 |
226512y1 |
226512.cd |
226512y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 13 \) |
\( - 2^{12} \cdot 3^{15} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17915904$ |
$2.890003$ |
$-462482914449031168/3326427$ |
$[0, 0, 0, -56755776, -164574754256]$ |
\(y^2=x^3-56755776x-164574754256\) |
6.2.0.a.1 |
$[]$ |
231231.bh1 |
231231bh1 |
231231.bh |
231231bh |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 7^{6} \cdot 11^{10} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80061696$ |
$3.819450$ |
$-462482914449031168/3326427$ |
$[0, 1, 1, -2336840249, -43480990917094]$ |
\(y^2+y=x^3+x^2-2336840249x-43480990917094\) |
6.2.0.a.1 |
$[]$ |
231231.bm1 |
231231bm1 |
231231.bm |
231231bm |
$1$ |
$1$ |
\( 3 \cdot 7^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{9} \cdot 7^{6} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.336529129$ |
$1$ |
|
$6$ |
$7278336$ |
$2.620502$ |
$-462482914449031168/3326427$ |
$[0, 1, 1, -19312729, 32660889223]$ |
\(y^2+y=x^3+x^2-19312729x+32660889223\) |
6.2.0.a.1 |
$[(2603, 5791)]$ |
302016.n1 |
302016n1 |
302016.n |
302016n |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$110.4440831$ |
$1$ |
|
$0$ |
$49268736$ |
$3.193069$ |
$-462482914449031168/3326427$ |
$[0, -1, 0, -190762469, -1014052143597]$ |
\(y^2=x^3-x^2-190762469x-1014052143597\) |
6.2.0.a.1 |
$[(3228128331178365881723028201513092434757178255358/3545053495823766194401, 5791400197712718168749760461532609104265433437316122198546519814512876457/3545053495823766194401)]$ |
302016.bh1 |
302016bh1 |
302016.bh |
302016bh |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4478976$ |
$1.994122$ |
$-462482914449031168/3326427$ |
$[0, -1, 0, -1576549, 762445675]$ |
\(y^2=x^3-x^2-1576549x+762445675\) |
6.2.0.a.1 |
$[]$ |
302016.eo1 |
302016eo1 |
302016.eo |
302016eo |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4478976$ |
$1.994122$ |
$-462482914449031168/3326427$ |
$[0, 1, 0, -1576549, -762445675]$ |
\(y^2=x^3+x^2-1576549x-762445675\) |
6.2.0.a.1 |
$[]$ |
302016.fi1 |
302016fi1 |
302016.fi |
302016fi |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 11^{2} \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.377336220$ |
$1$ |
|
$2$ |
$49268736$ |
$3.193069$ |
$-462482914449031168/3326427$ |
$[0, 1, 0, -190762469, 1014052143597]$ |
\(y^2=x^3+x^2-190762469x+1014052143597\) |
6.2.0.a.1 |
$[(8332, 55809)]$ |
353925.bj1 |
353925bj1 |
353925.bj |
353925bj |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{15} \cdot 5^{6} \cdot 11^{10} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$61.94494268$ |
$1$ |
|
$0$ |
$350355456$ |
$4.200523$ |
$-462482914449031168/3326427$ |
$[0, 0, 1, -10730388900, -427830074052219]$ |
\(y^2+y=x^3-10730388900x-427830074052219\) |
6.2.0.a.1 |
$[(12575910777043919237408897215/174524798301, 1360750176857542080753563101740693088222112/174524798301)]$ |
353925.cu1 |
353925cu1 |
353925.cu |
353925cu |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
\( - 3^{15} \cdot 5^{6} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31850496$ |
$3.001572$ |
$-462482914449031168/3326427$ |
$[0, 0, 1, -88680900, 321435066906]$ |
\(y^2+y=x^3-88680900x+321435066906\) |
6.2.0.a.1 |
$[]$ |