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.k1 |
4598g1 |
4598.k |
4598g |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16632$ |
$1.026562$ |
$-81563625/2432$ |
$1.12953$ |
$4.44072$ |
$[1, -1, 0, -5407, 158285]$ |
\(y^2+xy=x^3-x^2-5407x+158285\) |
152.2.0.? |
$[]$ |
4598.s1 |
4598s1 |
4598.s |
4598s |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1512$ |
$-0.172386$ |
$-81563625/2432$ |
$1.12953$ |
$2.73472$ |
$[1, -1, 1, -45, -107]$ |
\(y^2+xy+y=x^3-x^2-45x-107\) |
152.2.0.? |
$[]$ |
36784.b1 |
36784bl1 |
36784.b |
36784bl |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$399168$ |
$1.719709$ |
$-81563625/2432$ |
$1.12953$ |
$4.35355$ |
$[0, 0, 0, -86515, -10043726]$ |
\(y^2=x^3-86515x-10043726\) |
152.2.0.? |
$[]$ |
36784.c1 |
36784x1 |
36784.c |
36784x |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 11^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.480632290$ |
$1$ |
|
$4$ |
$36288$ |
$0.520761$ |
$-81563625/2432$ |
$1.12953$ |
$2.98499$ |
$[0, 0, 0, -715, 7546]$ |
\(y^2=x^3-715x+7546\) |
152.2.0.? |
$[(5, 64)]$ |
41382.o1 |
41382bb1 |
41382.o |
41382bb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{6} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21168$ |
$0.376920$ |
$-81563625/2432$ |
$1.12953$ |
$2.78955$ |
$[1, -1, 0, -402, 3284]$ |
\(y^2+xy=x^3-x^2-402x+3284\) |
152.2.0.? |
$[]$ |
41382.cc1 |
41382bs1 |
41382.cc |
41382bs |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 3^{6} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$232848$ |
$1.575867$ |
$-81563625/2432$ |
$1.12953$ |
$4.14294$ |
$[1, -1, 1, -48665, -4225031]$ |
\(y^2+xy+y=x^3-x^2-48665x-4225031\) |
152.2.0.? |
$[]$ |
87362.a1 |
87362u1 |
87362.a |
87362u |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2^{7} \cdot 11^{2} \cdot 19^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.551313484$ |
$1$ |
|
$4$ |
$544320$ |
$1.299833$ |
$-81563625/2432$ |
$1.12953$ |
$3.57973$ |
$[1, -1, 0, -16132, 812752]$ |
\(y^2+xy=x^3-x^2-16132x+812752\) |
152.2.0.? |
$[(81, 140)]$ |
87362.w1 |
87362br1 |
87362.w |
87362br |
$1$ |
$1$ |
\( 2 \cdot 11^{2} \cdot 19^{2} \) |
\( - 2^{7} \cdot 11^{8} \cdot 19^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5987520$ |
$2.498779$ |
$-81563625/2432$ |
$1.12953$ |
$4.84425$ |
$[1, -1, 1, -1951995, -1075916949]$ |
\(y^2+xy+y=x^3-x^2-1951995x-1075916949\) |
152.2.0.? |
$[]$ |
114950.c1 |
114950bg1 |
114950.c |
114950bg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 5^{6} \cdot 11^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$2.453693169$ |
$1$ |
|
$4$ |
$217728$ |
$0.632333$ |
$-81563625/2432$ |
$1.12953$ |
$2.80800$ |
$[1, -1, 0, -1117, -14459]$ |
\(y^2+xy=x^3-x^2-1117x-14459\) |
152.2.0.? |
$[(39, -7)]$ |
114950.bu1 |
114950co1 |
114950.bu |
114950co |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 5^{6} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.338469665$ |
$1$ |
|
$6$ |
$2395008$ |
$1.831280$ |
$-81563625/2432$ |
$1.12953$ |
$4.04273$ |
$[1, -1, 1, -135180, 19650447]$ |
\(y^2+xy+y=x^3-x^2-135180x+19650447\) |
152.2.0.? |
$[(-151, 6125)]$ |
147136.a1 |
147136cf1 |
147136.a |
147136cf |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{25} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$0.867334$ |
$-81563625/2432$ |
$1.12953$ |
$2.98674$ |
$[0, 0, 0, -2860, -60368]$ |
\(y^2=x^3-2860x-60368\) |
152.2.0.? |
$[]$ |
147136.b1 |
147136cg1 |
147136.b |
147136cg |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{25} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$3.623290177$ |
$1$ |
|
$2$ |
$3193344$ |
$2.066280$ |
$-81563625/2432$ |
$1.12953$ |
$4.19585$ |
$[0, 0, 0, -346060, 80349808]$ |
\(y^2=x^3-346060x+80349808\) |
152.2.0.? |
$[(1006, 27392)]$ |
147136.dr1 |
147136cc1 |
147136.dr |
147136cc |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{25} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$290304$ |
$0.867334$ |
$-81563625/2432$ |
$1.12953$ |
$2.98674$ |
$[0, 0, 0, -2860, 60368]$ |
\(y^2=x^3-2860x+60368\) |
152.2.0.? |
$[]$ |
147136.ds1 |
147136cd1 |
147136.ds |
147136cd |
$1$ |
$1$ |
\( 2^{6} \cdot 11^{2} \cdot 19 \) |
\( - 2^{25} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$13.02850239$ |
$1$ |
|
$0$ |
$3193344$ |
$2.066280$ |
$-81563625/2432$ |
$1.12953$ |
$4.19585$ |
$[0, 0, 0, -346060, -80349808]$ |
\(y^2=x^3-346060x-80349808\) |
152.2.0.? |
$[(294986626/117, 5064538302208/117)]$ |
225302.b1 |
225302bo1 |
225302.b |
225302bo |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 7^{6} \cdot 11^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6386688$ |
$1.999516$ |
$-81563625/2432$ |
$1.12953$ |
$3.98580$ |
$[1, -1, 0, -264952, -53761856]$ |
\(y^2+xy=x^3-x^2-264952x-53761856\) |
152.2.0.? |
$[]$ |
225302.bp1 |
225302a1 |
225302.bp |
225302a |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{7} \cdot 7^{6} \cdot 11^{2} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.402887011$ |
$1$ |
|
$16$ |
$580608$ |
$0.800569$ |
$-81563625/2432$ |
$1.12953$ |
$2.81849$ |
$[1, -1, 1, -2190, 40989]$ |
\(y^2+xy+y=x^3-x^2-2190x+40989\) |
152.2.0.? |
$[(37, 79), (23, 37)]$ |
331056.ct1 |
331056ct1 |
331056.ct |
331056ct |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{6} \cdot 11^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.567862552$ |
$1$ |
|
$2$ |
$5588352$ |
$2.269016$ |
$-81563625/2432$ |
$1.12953$ |
$4.11956$ |
$[0, 0, 0, -778635, 271180602]$ |
\(y^2=x^3-778635x+271180602\) |
152.2.0.? |
$[(1573, 54208)]$ |
331056.cy1 |
331056cy1 |
331056.cy |
331056cy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \cdot 19 \) |
\( - 2^{19} \cdot 3^{6} \cdot 11^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$508032$ |
$1.070066$ |
$-81563625/2432$ |
$1.12953$ |
$2.98759$ |
$[0, 0, 0, -6435, -203742]$ |
\(y^2=x^3-6435x-203742\) |
152.2.0.? |
$[]$ |