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 |
1624.c1 |
1624a1 |
1624.c |
1624a |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.321077871$ |
$1$ |
|
$4$ |
$128$ |
$-0.409933$ |
$128000/203$ |
$0.67301$ |
$2.41580$ |
$[0, 1, 0, 7, 11]$ |
\(y^2=x^3+x^2+7x+11\) |
406.2.0.? |
$[(-1, 2)]$ |
3248.g1 |
3248d1 |
3248.g |
3248d |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$-0.409933$ |
$128000/203$ |
$0.67301$ |
$2.20871$ |
$[0, -1, 0, 7, -11]$ |
\(y^2=x^3-x^2+7x-11\) |
406.2.0.? |
$[]$ |
11368.h1 |
11368d1 |
11368.h |
11368d |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7^{7} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.456995257$ |
$1$ |
|
$14$ |
$6144$ |
$0.563023$ |
$128000/203$ |
$0.67301$ |
$3.16265$ |
$[0, -1, 0, 327, -3107]$ |
\(y^2=x^3-x^2+327x-3107\) |
406.2.0.? |
$[(19, 98), (61, 490)]$ |
12992.k1 |
12992g1 |
12992.k |
12992g |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2048$ |
$-0.063359$ |
$128000/203$ |
$0.67301$ |
$2.32452$ |
$[0, -1, 0, 27, 61]$ |
\(y^2=x^3-x^2+27x+61\) |
406.2.0.? |
$[]$ |
12992.ba1 |
12992bk1 |
12992.ba |
12992bk |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2048$ |
$-0.063359$ |
$128000/203$ |
$0.67301$ |
$2.32452$ |
$[0, 1, 0, 27, -61]$ |
\(y^2=x^3+x^2+27x-61\) |
406.2.0.? |
$[]$ |
14616.h1 |
14616k1 |
14616.h |
14616k |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3840$ |
$0.139374$ |
$128000/203$ |
$0.67301$ |
$2.54965$ |
$[0, 0, 0, 60, -236]$ |
\(y^2=x^3+60x-236\) |
406.2.0.? |
$[]$ |
22736.bb1 |
22736e1 |
22736.bb |
22736e |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12288$ |
$0.563023$ |
$128000/203$ |
$0.67301$ |
$2.94413$ |
$[0, 1, 0, 327, 3107]$ |
\(y^2=x^3+x^2+327x+3107\) |
406.2.0.? |
$[]$ |
29232.s1 |
29232l1 |
29232.s |
29232l |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7680$ |
$0.139374$ |
$128000/203$ |
$0.67301$ |
$2.37779$ |
$[0, 0, 0, 60, 236]$ |
\(y^2=x^3+60x+236\) |
406.2.0.? |
$[]$ |
40600.f1 |
40600r1 |
40600.f |
40600r |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.696796518$ |
$1$ |
|
$4$ |
$18432$ |
$0.394786$ |
$128000/203$ |
$0.67301$ |
$2.59301$ |
$[0, -1, 0, 167, 1037]$ |
\(y^2=x^3-x^2+167x+1037\) |
406.2.0.? |
$[(7, 50)]$ |
47096.f1 |
47096h1 |
47096.f |
47096h |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 7 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.273716$ |
$128000/203$ |
$0.67301$ |
$3.53746$ |
$[0, -1, 0, 5607, 211309]$ |
\(y^2=x^3-x^2+5607x+211309\) |
406.2.0.? |
$[]$ |
81200.bs1 |
81200a1 |
81200.bs |
81200a |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$4.210148536$ |
$1$ |
|
$0$ |
$36864$ |
$0.394786$ |
$128000/203$ |
$0.67301$ |
$2.43402$ |
$[0, 1, 0, 167, -1037]$ |
\(y^2=x^3+x^2+167x-1037\) |
406.2.0.? |
$[(262/3, 4625/3)]$ |
90944.bm1 |
90944dy1 |
90944.bm |
90944dy |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 7^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$98304$ |
$0.909596$ |
$128000/203$ |
$0.67301$ |
$2.95091$ |
$[0, -1, 0, 1307, 23549]$ |
\(y^2=x^3-x^2+1307x+23549\) |
406.2.0.? |
$[]$ |
90944.df1 |
90944bk1 |
90944.df |
90944bk |
$1$ |
$1$ |
\( 2^{6} \cdot 7^{2} \cdot 29 \) |
\( - 2^{14} \cdot 7^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$4.154067279$ |
$1$ |
|
$0$ |
$98304$ |
$0.909596$ |
$128000/203$ |
$0.67301$ |
$2.95091$ |
$[0, 1, 0, 1307, -23549]$ |
\(y^2=x^3+x^2+1307x-23549\) |
406.2.0.? |
$[(249/4, 1813/4)]$ |
94192.x1 |
94192j1 |
94192.x |
94192j |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 7 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.273716$ |
$128000/203$ |
$0.67301$ |
$3.32337$ |
$[0, 1, 0, 5607, -211309]$ |
\(y^2=x^3+x^2+5607x-211309\) |
406.2.0.? |
$[]$ |
102312.bi1 |
102312bo1 |
102312.bi |
102312bo |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.820070154$ |
$1$ |
|
$2$ |
$184320$ |
$1.112329$ |
$128000/203$ |
$0.67301$ |
$3.13167$ |
$[0, 0, 0, 2940, 80948]$ |
\(y^2=x^3+2940x+80948\) |
406.2.0.? |
$[(-7, 245)]$ |
116928.by1 |
116928y1 |
116928.by |
116928y |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$0.485947$ |
$128000/203$ |
$0.67301$ |
$2.45170$ |
$[0, 0, 0, 240, -1888]$ |
\(y^2=x^3+240x-1888\) |
406.2.0.? |
$[]$ |
116928.dv1 |
116928ec1 |
116928.dv |
116928ec |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 3^{6} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$0.485947$ |
$128000/203$ |
$0.67301$ |
$2.45170$ |
$[0, 0, 0, 240, 1888]$ |
\(y^2=x^3+240x+1888\) |
406.2.0.? |
$[]$ |
196504.bc1 |
196504m1 |
196504.bc |
196504m |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7 \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$3.332323798$ |
$1$ |
|
$2$ |
$138240$ |
$0.789015$ |
$128000/203$ |
$0.67301$ |
$2.64566$ |
$[0, 1, 0, 807, -11365]$ |
\(y^2=x^3+x^2+807x-11365\) |
406.2.0.? |
$[(601, 14762)]$ |
204624.ch1 |
204624eo1 |
204624.ch |
204624eo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$368640$ |
$1.112329$ |
$128000/203$ |
$0.67301$ |
$2.95416$ |
$[0, 0, 0, 2940, -80948]$ |
\(y^2=x^3+2940x-80948\) |
406.2.0.? |
$[]$ |
274456.t1 |
274456t1 |
274456.t |
274456t |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7 \cdot 13^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$4.413125958$ |
$1$ |
|
$0$ |
$276480$ |
$0.872542$ |
$128000/203$ |
$0.67301$ |
$2.65512$ |
$[0, 1, 0, 1127, 19579]$ |
\(y^2=x^3+x^2+1127x+19579\) |
406.2.0.? |
$[(-186/5, 13013/5)]$ |
284200.bj1 |
284200bj1 |
284200.bj |
284200bj |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7^{2} \cdot 29 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{7} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$3.688828591$ |
$1$ |
|
$2$ |
$884736$ |
$1.367741$ |
$128000/203$ |
$0.67301$ |
$3.12096$ |
$[0, 1, 0, 8167, -372037]$ |
\(y^2=x^3+x^2+8167x-372037\) |
406.2.0.? |
$[(2753, 144550)]$ |
324800.bm1 |
324800bm1 |
324800.bm |
324800bm |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 5^{6} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.875216791$ |
$1$ |
|
$2$ |
$294912$ |
$0.741360$ |
$128000/203$ |
$0.67301$ |
$2.49584$ |
$[0, -1, 0, 667, -8963]$ |
\(y^2=x^3-x^2+667x-8963\) |
406.2.0.? |
$[(12, 25)]$ |
324800.fr1 |
324800fr1 |
324800.fr |
324800fr |
$1$ |
$1$ |
\( 2^{6} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 2^{14} \cdot 5^{6} \cdot 7 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$7.695698195$ |
$1$ |
|
$0$ |
$294912$ |
$0.741360$ |
$128000/203$ |
$0.67301$ |
$2.49584$ |
$[0, 1, 0, 667, 8963]$ |
\(y^2=x^3+x^2+667x+8963\) |
406.2.0.? |
$[(7622/13, 800675/13)]$ |
329672.y1 |
329672y1 |
329672.y |
329672y |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 29^{2} \) |
\( - 2^{8} \cdot 7^{7} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$4.777781252$ |
$1$ |
|
$0$ |
$5160960$ |
$2.246670$ |
$128000/203$ |
$0.67301$ |
$3.91460$ |
$[0, 1, 0, 274727, -73028453]$ |
\(y^2=x^3+x^2+274727x-73028453\) |
406.2.0.? |
$[(26581/6, 4986289/6)]$ |
365400.dr1 |
365400dr1 |
365400.dr |
365400dr |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 29 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 7 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$552960$ |
$0.944093$ |
$128000/203$ |
$0.67301$ |
$2.66282$ |
$[0, 0, 0, 1500, -29500]$ |
\(y^2=x^3+1500x-29500\) |
406.2.0.? |
$[]$ |
376768.bb1 |
376768bb1 |
376768.bb |
376768bb |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 29^{2} \) |
\( - 2^{14} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$7.153581751$ |
$1$ |
|
$0$ |
$1720320$ |
$1.620289$ |
$128000/203$ |
$0.67301$ |
$3.28846$ |
$[0, -1, 0, 22427, -1712899]$ |
\(y^2=x^3-x^2+22427x-1712899\) |
406.2.0.? |
$[(75740/11, 21345421/11)]$ |
376768.ch1 |
376768ch1 |
376768.ch |
376768ch |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 29^{2} \) |
\( - 2^{14} \cdot 7 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.622922020$ |
$1$ |
|
$2$ |
$1720320$ |
$1.620289$ |
$128000/203$ |
$0.67301$ |
$3.28846$ |
$[0, 1, 0, 22427, 1712899]$ |
\(y^2=x^3+x^2+22427x+1712899\) |
406.2.0.? |
$[(222, 4205)]$ |
393008.r1 |
393008r1 |
393008.r |
393008r |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 11^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7 \cdot 11^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1.265399610$ |
$1$ |
|
$2$ |
$276480$ |
$0.789015$ |
$128000/203$ |
$0.67301$ |
$2.50330$ |
$[0, -1, 0, 807, 11365]$ |
\(y^2=x^3-x^2+807x+11365\) |
406.2.0.? |
$[(4, 121)]$ |
423864.ba1 |
423864ba1 |
423864.ba |
423864ba |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 29^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7 \cdot 29^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3225600$ |
$1.823021$ |
$128000/203$ |
$0.67301$ |
$3.44632$ |
$[0, 0, 0, 50460, -5755804]$ |
\(y^2=x^3+50460x-5755804\) |
406.2.0.? |
$[]$ |
469336.d1 |
469336d1 |
469336.d |
469336d |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 2^{8} \cdot 7 \cdot 17^{6} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$406$ |
$2$ |
$0$ |
$0.830404458$ |
$1$ |
|
$4$ |
$589824$ |
$1.006674$ |
$128000/203$ |
$0.67301$ |
$2.66929$ |
$[0, -1, 0, 1927, 42301]$ |
\(y^2=x^3-x^2+1927x+42301\) |
406.2.0.? |
$[(57, 578)]$ |