| 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 |
| 9016.a1 |
9016l1 |
9016.a |
9016l |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{14} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$5.645191724$ |
$1$ |
|
$2$ |
$129024$ |
$2.083691$ |
$-4124632486295808/70140333767$ |
$1.00005$ |
$5.53795$ |
$[0, 0, 0, -412531, -103471781]$ |
\(y^2=x^3-412531x-103471781\) |
46.2.0.a.1 |
$[(2429, 115003)]$ |
| 9016.b1 |
9016k1 |
9016.b |
9016k |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$0.364381158$ |
$1$ |
|
$4$ |
$8640$ |
$0.586092$ |
$-1149984000/23$ |
$0.95837$ |
$3.87746$ |
$[0, 0, 0, -2695, 53851]$ |
\(y^2=x^3-2695x+53851\) |
46.2.0.a.1 |
$[(35, 49)]$ |
| 9016.c1 |
9016e2 |
9016.c |
9016e |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{12} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.479088$ |
$5756278756/2705927$ |
$0.89317$ |
$4.51099$ |
$[0, 1, 0, -18440, 411424]$ |
\(y^2=x^3+x^2-18440x+411424\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[]$ |
| 9016.c2 |
9016e1 |
9016.c |
9016e |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.132515$ |
$253012016/181447$ |
$0.84073$ |
$4.01565$ |
$[0, 1, 0, 4100, 50784]$ |
\(y^2=x^3+x^2+4100x+50784\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
| 9016.d1 |
9016n2 |
9016.d |
9016n |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{12} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$46080$ |
$1.856318$ |
$1030541881826/62236321$ |
$0.92068$ |
$5.15674$ |
$[0, 1, 0, -130944, -17303840]$ |
\(y^2=x^3+x^2-130944x-17303840\) |
2.3.0.a.1, 8.6.0.b.1, 644.6.0.?, 1288.12.0.? |
$[]$ |
| 9016.d2 |
9016n1 |
9016.d |
9016n |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$23040$ |
$1.509745$ |
$1969910093092/7889$ |
$0.91859$ |
$5.15177$ |
$[0, 1, 0, -128984, -17873024]$ |
\(y^2=x^3+x^2-128984x-17873024\) |
2.3.0.a.1, 8.6.0.c.1, 322.6.0.?, 1288.12.0.? |
$[]$ |
| 9016.e1 |
9016i2 |
9016.e |
9016i |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{10} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$3.746361225$ |
$1$ |
|
$3$ |
$15360$ |
$1.176199$ |
$12576878500/1127$ |
$0.87137$ |
$4.59681$ |
$[0, 1, 0, -23928, -1432544]$ |
\(y^2=x^3+x^2-23928x-1432544\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 644.12.0.? |
$[(695, 17836)]$ |
| 9016.e2 |
9016i1 |
9016.e |
9016i |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{7} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1.873180612$ |
$1$ |
|
$5$ |
$7680$ |
$0.829626$ |
$-9826000/3703$ |
$0.75859$ |
$3.71402$ |
$[0, 1, 0, -1388, -26048]$ |
\(y^2=x^3+x^2-1388x-26048\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[(51, 196)]$ |
| 9016.f1 |
9016d1 |
9016.f |
9016d |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 7^{9} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10752$ |
$0.897653$ |
$109744/23$ |
$0.77302$ |
$3.80643$ |
$[0, 1, 0, -2172, 30400]$ |
\(y^2=x^3+x^2-2172x+30400\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[]$ |
| 9016.f2 |
9016d2 |
9016.f |
9016d |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{9} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$21504$ |
$1.244226$ |
$275684/529$ |
$0.79078$ |
$4.15202$ |
$[0, 1, 0, 4688, 189552]$ |
\(y^2=x^3+x^2+4688x+189552\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
| 9016.g1 |
9016g1 |
9016.g |
9016g |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$2.027765634$ |
$1$ |
|
$2$ |
$4608$ |
$0.622044$ |
$-157216000/1127$ |
$0.78840$ |
$3.66030$ |
$[0, -1, 0, -1388, -19571]$ |
\(y^2=x^3-x^2-1388x-19571\) |
46.2.0.a.1 |
$[(54, 245)]$ |
| 9016.h1 |
9016a2 |
9016.h |
9016a |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{8} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$12288$ |
$1.308895$ |
$50668941906/1127$ |
$1.02051$ |
$4.82594$ |
$[0, 0, 0, -47971, -4043970]$ |
\(y^2=x^3-47971x-4043970\) |
2.3.0.a.1, 28.6.0.c.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 9016.h2 |
9016a1 |
9016.h |
9016a |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1288$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$0.962322$ |
$-22180932/3703$ |
$0.93538$ |
$3.92842$ |
$[0, 0, 0, -2891, -67914]$ |
\(y^2=x^3-2891x-67914\) |
2.3.0.a.1, 14.6.0.b.1, 184.6.0.?, 1288.12.0.? |
$[]$ |
| 9016.i1 |
9016f2 |
9016.i |
9016f |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{6} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$184$ |
$12$ |
$0$ |
$2.967851081$ |
$1$ |
|
$3$ |
$6912$ |
$0.843408$ |
$2315250/529$ |
$0.89506$ |
$3.72856$ |
$[0, 0, 0, -1715, -21266]$ |
\(y^2=x^3-1715x-21266\) |
2.3.0.a.1, 8.6.0.b.1, 92.6.0.?, 184.12.0.? |
$[(630, 15778)]$ |
| 9016.i2 |
9016f1 |
9016.i |
9016f |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{6} \cdot 23 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$184$ |
$12$ |
$0$ |
$5.935702162$ |
$1$ |
|
$1$ |
$3456$ |
$0.496834$ |
$13500/23$ |
$0.90383$ |
$3.16052$ |
$[0, 0, 0, 245, -2058]$ |
\(y^2=x^3+245x-2058\) |
2.3.0.a.1, 8.6.0.c.1, 46.6.0.a.1, 184.12.0.? |
$[(471/7, 11808/7)]$ |
| 9016.j1 |
9016b1 |
9016.j |
9016b |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2304$ |
$0.232836$ |
$-562432/23$ |
$0.75822$ |
$3.04789$ |
$[0, 1, 0, -212, -1303]$ |
\(y^2=x^3+x^2-212x-1303\) |
46.2.0.a.1 |
$[]$ |
| 9016.k1 |
9016m1 |
9016.k |
9016m |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{6} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2880$ |
$0.144894$ |
$-256/23$ |
$0.98486$ |
$2.75012$ |
$[0, 1, 0, -16, -323]$ |
\(y^2=x^3+x^2-16x-323\) |
46.2.0.a.1 |
$[]$ |
| 9016.l1 |
9016c1 |
9016.l |
9016c |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{8} \cdot 7^{3} \cdot 23 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$-0.075302$ |
$109744/23$ |
$0.77302$ |
$2.52437$ |
$[0, -1, 0, -44, -76]$ |
\(y^2=x^3-x^2-44x-76\) |
2.3.0.a.1, 28.6.0.c.1, 92.6.0.?, 322.6.0.?, 644.12.0.? |
$[]$ |
| 9016.l2 |
9016c2 |
9016.l |
9016c |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$644$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.271272$ |
$275684/529$ |
$0.79078$ |
$2.86995$ |
$[0, -1, 0, 96, -580]$ |
\(y^2=x^3-x^2+96x-580\) |
2.3.0.a.1, 14.6.0.b.1, 92.6.0.?, 644.12.0.? |
$[]$ |
| 9016.m1 |
9016h2 |
9016.m |
9016h |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( 2^{11} \cdot 7^{16} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$17.86822702$ |
$1$ |
|
$1$ |
$184320$ |
$2.442467$ |
$263822189935250/149429406721$ |
$1.01471$ |
$5.76565$ |
$[0, -1, 0, -831448, -42268596]$ |
\(y^2=x^3-x^2-831448x-42268596\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(259659001/195, 4146069054574/195)]$ |
| 9016.m2 |
9016h1 |
9016.m |
9016h |
$2$ |
$2$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{10} \cdot 7^{11} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$8.934113514$ |
$1$ |
|
$1$ |
$92160$ |
$2.095894$ |
$7953970437500/4703287687$ |
$1.05161$ |
$5.30503$ |
$[0, -1, 0, 205392, -5357092]$ |
\(y^2=x^3-x^2+205392x-5357092\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(9569/13, 5580030/13)]$ |
| 9016.n1 |
9016j1 |
9016.n |
9016j |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{24} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$20.56130396$ |
$1$ |
|
$0$ |
$1175040$ |
$3.063278$ |
$100718081964000000/37453512751940327$ |
$1.16350$ |
$6.59544$ |
$[0, 0, 0, 1196825, 12764985443]$ |
\(y^2=x^3+1196825x+12764985443\) |
46.2.0.a.1 |
$[(6793723951/981, 576601858134953/981)]$ |
| 9016.o1 |
9016o1 |
9016.o |
9016o |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 23 \) |
\( - 2^{4} \cdot 7^{8} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32256$ |
$1.001657$ |
$1029037824/596183$ |
$1.06789$ |
$3.86526$ |
$[0, 0, 0, 2597, 1715]$ |
\(y^2=x^3+2597x+1715\) |
46.2.0.a.1 |
$[]$ |
