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 |
4598.e1 |
4598b1 |
4598.e |
4598b |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7128$ |
$1.208059$ |
$-48077951625/38$ |
$0.99821$ |
$5.19119$ |
$[1, -1, 0, -45337, -3704277]$ |
\(y^2+xy=x^3-x^2-45337x-3704277\) |
152.2.0.? |
$[]$ |
4598.n1 |
4598p1 |
4598.n |
4598p |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$648$ |
$0.009113$ |
$-48077951625/38$ |
$0.99821$ |
$3.48519$ |
$[1, -1, 1, -375, 2885]$ |
\(y^2+xy+y=x^3-x^2-375x+2885\) |
152.2.0.? |
$[]$ |
36784.t1 |
36784p1 |
36784.t |
36784p |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{13} \cdot 11^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$4.022796962$ |
$1$ |
|
$2$ |
$15552$ |
$0.702260$ |
$-48077951625/38$ |
$0.99821$ |
$3.58702$ |
$[0, 0, 0, -5995, -178662]$ |
\(y^2=x^3-5995x-178662\) |
152.2.0.? |
$[(221, 3048)]$ |
36784.w1 |
36784y1 |
36784.w |
36784y |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{13} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$171072$ |
$1.901207$ |
$-48077951625/38$ |
$0.99821$ |
$4.95557$ |
$[0, 0, 0, -725395, 237799122]$ |
\(y^2=x^3-725395x+237799122\) |
152.2.0.? |
$[]$ |
41382.t1 |
41382bc1 |
41382.t |
41382bc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3^{6} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20736$ |
$0.558419$ |
$-48077951625/38$ |
$0.99821$ |
$3.38490$ |
$[1, -1, 0, -3372, -74530]$ |
\(y^2+xy=x^3-x^2-3372x-74530\) |
152.2.0.? |
$[]$ |
41382.bz1 |
41382bt1 |
41382.bz |
41382bt |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 3^{6} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$228096$ |
$1.757366$ |
$-48077951625/38$ |
$0.99821$ |
$4.73830$ |
$[1, -1, 1, -408035, 100423513]$ |
\(y^2+xy+y=x^3-x^2-408035x+100423513\) |
152.2.0.? |
$[]$ |
87362.m1 |
87362k1 |
87362.m |
87362k |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2 \cdot 11^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$10.20564847$ |
$1$ |
|
$0$ |
$233280$ |
$1.481333$ |
$-48077951625/38$ |
$0.99821$ |
$4.13599$ |
$[1, -1, 0, -135262, -19113726]$ |
\(y^2+xy=x^3-x^2-135262x-19113726\) |
152.2.0.? |
$[(716725/41, 38153747/41)]$ |
87362.bg1 |
87362be1 |
87362.bg |
87362be |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2 \cdot 11^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2566080$ |
$2.680279$ |
$-48077951625/38$ |
$0.99821$ |
$5.40050$ |
$[1, -1, 1, -16366725, 25489469459]$ |
\(y^2+xy+y=x^3-x^2-16366725x+25489469459\) |
152.2.0.? |
$[]$ |
114950.o1 |
114950x1 |
114950.o |
114950x |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 5^{6} \cdot 11^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.868760688$ |
$1$ |
|
$2$ |
$93312$ |
$0.813831$ |
$-48077951625/38$ |
$0.99821$ |
$3.35116$ |
$[1, -1, 0, -9367, 351291]$ |
\(y^2+xy=x^3-x^2-9367x+351291\) |
152.2.0.? |
$[(59, 8)]$ |
114950.ct1 |
114950cc1 |
114950.ct |
114950cc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 5^{6} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$27.61369564$ |
$1$ |
|
$0$ |
$1026432$ |
$2.012779$ |
$-48077951625/38$ |
$0.99821$ |
$4.58588$ |
$[1, -1, 1, -1133430, -464168053]$ |
\(y^2+xy+y=x^3-x^2-1133430x-464168053\) |
152.2.0.? |
$[(104724405304091/158798, 1023867494966356376595/158798)]$ |
147136.bt1 |
147136ba1 |
147136.bt |
147136ba |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.048834$ |
$-48077951625/38$ |
$0.99821$ |
$3.51863$ |
$[0, 0, 0, -23980, -1429296]$ |
\(y^2=x^3-23980x-1429296\) |
152.2.0.? |
$[]$ |
147136.bu1 |
147136cy1 |
147136.bu |
147136cy |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$20.42991942$ |
$1$ |
|
$0$ |
$1368576$ |
$2.247780$ |
$-48077951625/38$ |
$0.99821$ |
$4.72774$ |
$[0, 0, 0, -2901580, -1902392976]$ |
\(y^2=x^3-2901580x-1902392976\) |
152.2.0.? |
$[(4753470670/1543, 59585410658976/1543)]$ |
147136.bz1 |
147136db1 |
147136.bz |
147136db |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$124416$ |
$1.048834$ |
$-48077951625/38$ |
$0.99821$ |
$3.51863$ |
$[0, 0, 0, -23980, 1429296]$ |
\(y^2=x^3-23980x+1429296\) |
152.2.0.? |
$[]$ |
147136.ca1 |
147136bd1 |
147136.ca |
147136bd |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.488195373$ |
$1$ |
|
$2$ |
$1368576$ |
$2.247780$ |
$-48077951625/38$ |
$0.99821$ |
$4.72774$ |
$[0, 0, 0, -2901580, 1902392976]$ |
\(y^2=x^3-2901580x+1902392976\) |
152.2.0.? |
$[(242, 34848)]$ |
225302.x1 |
225302cl1 |
225302.x |
225302cl |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 7^{6} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2352240$ |
$2.181015$ |
$-48077951625/38$ |
$0.99821$ |
$4.49930$ |
$[1, -1, 0, -2221522, 1275010050]$ |
\(y^2+xy=x^3-x^2-2221522x+1275010050\) |
152.2.0.? |
$[]$ |
225302.cl1 |
225302w1 |
225302.cl |
225302w |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2 \cdot 7^{6} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$213840$ |
$0.982068$ |
$-48077951625/38$ |
$0.99821$ |
$3.33198$ |
$[1, -1, 1, -18360, -952927]$ |
\(y^2+xy+y=x^3-x^2-18360x-952927\) |
152.2.0.? |
$[]$ |
331056.cj1 |
331056cj1 |
331056.cj |
331056cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{6} \cdot 11^{2} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.652642454$ |
$1$ |
|
$10$ |
$497664$ |
$1.251566$ |
$-48077951625/38$ |
$0.99821$ |
$3.48554$ |
$[0, 0, 0, -53955, 4823874]$ |
\(y^2=x^3-53955x+4823874\) |
152.2.0.? |
$[(135, 18), (111, 450)]$ |
331056.di1 |
331056di1 |
331056.di |
331056di |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{6} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$4.492511454$ |
$1$ |
|
$2$ |
$5474304$ |
$2.450512$ |
$-48077951625/38$ |
$0.99821$ |
$4.61751$ |
$[0, 0, 0, -6528555, -6420576294]$ |
\(y^2=x^3-6528555x-6420576294\) |
152.2.0.? |
$[(5082, 302742)]$ |