| 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 |
| 4046.k1 |
4046n1 |
4046.k |
4046n |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.290936473$ |
$1$ |
|
$6$ |
$19584$ |
$1.696381$ |
$2751936625/458752$ |
$0.92219$ |
$5.34602$ |
$[1, 1, 1, -55783, -4302051]$ |
\(y^2+xy+y=x^3+x^2-55783x-4302051\) |
28.2.0.a.1 |
$[(-169, 662)]$ |
| 4046.q1 |
4046p1 |
4046.q |
4046p |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.284136156$ |
$1$ |
|
$4$ |
$1152$ |
$0.279774$ |
$2751936625/458752$ |
$0.92219$ |
$3.29927$ |
$[1, 0, 0, -193, -887]$ |
\(y^2+xy=x^3-193x-887\) |
28.2.0.a.1 |
$[(-6, 11)]$ |
| 28322.t1 |
28322x1 |
28322.t |
28322x |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$0.145387976$ |
$1$ |
|
$10$ |
$55296$ |
$1.252729$ |
$2751936625/458752$ |
$0.92219$ |
$3.81192$ |
$[1, 1, 1, -9458, 294783]$ |
\(y^2+xy+y=x^3+x^2-9458x+294783\) |
28.2.0.a.1 |
$[(-71, 819)]$ |
| 28322.bf1 |
28322bf1 |
28322.bf |
28322bf |
$1$ |
$1$ |
\( 2 \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 7^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$940032$ |
$2.669334$ |
$2751936625/458752$ |
$0.92219$ |
$5.47016$ |
$[1, 0, 0, -2733368, 1467403328]$ |
\(y^2+xy=x^3-2733368x+1467403328\) |
28.2.0.a.1 |
$[]$ |
| 32368.l1 |
32368j1 |
32368.l |
32368j |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{28} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27648$ |
$0.972921$ |
$2751936625/458752$ |
$0.92219$ |
$3.43958$ |
$[0, -1, 0, -3088, 56768]$ |
\(y^2=x^3-x^2-3088x+56768\) |
28.2.0.a.1 |
$[]$ |
| 32368.z1 |
32368bj1 |
32368.z |
32368bj |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17^{2} \) |
\( 2^{28} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$470016$ |
$2.389526$ |
$2751936625/458752$ |
$0.92219$ |
$5.07650$ |
$[0, 1, 0, -892528, 273546196]$ |
\(y^2=x^3+x^2-892528x+273546196\) |
28.2.0.a.1 |
$[]$ |
| 36414.v1 |
36414ba1 |
36414.v |
36414ba |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$6.334237631$ |
$1$ |
|
$2$ |
$587520$ |
$2.245686$ |
$2751936625/458752$ |
$0.92219$ |
$4.85522$ |
$[1, -1, 0, -502047, 115653325]$ |
\(y^2+xy=x^3-x^2-502047x+115653325\) |
28.2.0.a.1 |
$[(8862, 827185)]$ |
| 36414.z1 |
36414bf1 |
36414.z |
36414bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.151902360$ |
$1$ |
|
$2$ |
$34560$ |
$0.829081$ |
$2751936625/458752$ |
$0.92219$ |
$3.23666$ |
$[1, -1, 0, -1737, 23949]$ |
\(y^2+xy=x^3-x^2-1737x+23949\) |
28.2.0.a.1 |
$[(130, 1343)]$ |
| 101150.i1 |
101150f1 |
101150.i |
101150f |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 5^{6} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1.269081033$ |
$1$ |
|
$4$ |
$165888$ |
$1.084494$ |
$2751936625/458752$ |
$0.92219$ |
$3.21568$ |
$[1, 1, 0, -4825, -110875]$ |
\(y^2+xy=x^3+x^2-4825x-110875\) |
28.2.0.a.1 |
$[(-46, 151)]$ |
| 101150.be1 |
101150y1 |
101150.be |
101150y |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 5^{6} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$11.14018632$ |
$1$ |
|
$0$ |
$2820096$ |
$2.501099$ |
$2751936625/458752$ |
$0.92219$ |
$4.69075$ |
$[1, 0, 1, -1394576, -534967202]$ |
\(y^2+xy+y=x^3-1394576x-534967202\) |
28.2.0.a.1 |
$[(-597119/35, 241524849/35)]$ |
| 129472.bi1 |
129472ds1 |
129472.bi |
129472ds |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( 2^{34} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3760128$ |
$2.736103$ |
$2751936625/458752$ |
$0.92219$ |
$4.83195$ |
$[0, -1, 0, -3570113, 2191939681]$ |
\(y^2=x^3-x^2-3570113x+2191939681\) |
28.2.0.a.1 |
$[]$ |
| 129472.bj1 |
129472bc1 |
129472.bj |
129472bc |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( 2^{34} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.319494$ |
$2751936625/458752$ |
$0.92219$ |
$3.38781$ |
$[0, -1, 0, -12353, -441791]$ |
\(y^2=x^3-x^2-12353x-441791\) |
28.2.0.a.1 |
$[]$ |
| 129472.cm1 |
129472bz1 |
129472.cm |
129472bz |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( 2^{34} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.319494$ |
$2751936625/458752$ |
$0.92219$ |
$3.38781$ |
$[0, 1, 0, -12353, 441791]$ |
\(y^2=x^3+x^2-12353x+441791\) |
28.2.0.a.1 |
$[]$ |
| 129472.cn1 |
129472s1 |
129472.cn |
129472s |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 17^{2} \) |
\( 2^{34} \cdot 7 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3760128$ |
$2.736103$ |
$2751936625/458752$ |
$0.92219$ |
$4.83195$ |
$[0, 1, 0, -3570113, -2191939681]$ |
\(y^2=x^3+x^2-3570113x-2191939681\) |
28.2.0.a.1 |
$[]$ |
| 226576.be1 |
226576s1 |
226576.be |
226576s |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{28} \cdot 7^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$22560768$ |
$3.362484$ |
$2751936625/458752$ |
$0.92219$ |
$5.22223$ |
$[0, -1, 0, -43733888, -93913812992]$ |
\(y^2=x^3-x^2-43733888x-93913812992\) |
28.2.0.a.1 |
$[]$ |
| 226576.cl1 |
226576br1 |
226576.cl |
226576br |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{28} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$9.720273262$ |
$1$ |
|
$0$ |
$1327104$ |
$1.945877$ |
$2751936625/458752$ |
$0.92219$ |
$3.84363$ |
$[0, 1, 0, -151328, -19168780]$ |
\(y^2=x^3+x^2-151328x-19168780\) |
28.2.0.a.1 |
$[(-98713/19, 9303826/19)]$ |
| 254898.bs1 |
254898bs1 |
254898.bs |
254898bs |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{7} \cdot 17^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$13.04814542$ |
$1$ |
|
$2$ |
$28200960$ |
$3.218643$ |
$2751936625/458752$ |
$0.92219$ |
$5.03417$ |
$[1, -1, 0, -24600312, -39619889856]$ |
\(y^2+xy=x^3-x^2-24600312x-39619889856\) |
28.2.0.a.1 |
$[(-2384, 75176), (11474992/11, 38753887864/11)]$ |
| 254898.ca1 |
254898ca1 |
254898.ca |
254898ca |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$2.873291756$ |
$1$ |
|
$0$ |
$1658880$ |
$1.802034$ |
$2751936625/458752$ |
$0.92219$ |
$3.66861$ |
$[1, -1, 0, -85122, -8044268]$ |
\(y^2+xy=x^3-x^2-85122x-8044268\) |
28.2.0.a.1 |
$[(-1004/3, 7778/3)]$ |
| 291312.cr1 |
291312cr1 |
291312.cr |
291312cr |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{28} \cdot 3^{6} \cdot 7 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$6.314136327$ |
$1$ |
|
$0$ |
$829440$ |
$1.522228$ |
$2751936625/458752$ |
$0.92219$ |
$3.36281$ |
$[0, 0, 0, -27795, -1504942]$ |
\(y^2=x^3-27795x-1504942\) |
28.2.0.a.1 |
$[(-463/2, 3215/2)]$ |
| 291312.dg1 |
291312dg1 |
291312.dg |
291312dg |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{28} \cdot 3^{6} \cdot 7 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$53.59101201$ |
$1$ |
|
$0$ |
$14100480$ |
$2.938835$ |
$2751936625/458752$ |
$0.92219$ |
$4.71388$ |
$[0, 0, 0, -8032755, -7393780046]$ |
\(y^2=x^3-8032755x-7393780046\) |
28.2.0.a.1 |
$[(-95365095227243083127058/9376840643, 5390308286690413097784246379740932/9376840643)]$ |
| 489566.p1 |
489566p1 |
489566.p |
489566p |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 11^{6} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$25067520$ |
$2.895329$ |
$2751936625/458752$ |
$0.92219$ |
$4.48725$ |
$[1, 1, 0, -6749745, 5692280917]$ |
\(y^2+xy=x^3+x^2-6749745x+5692280917\) |
28.2.0.a.1 |
$[]$ |
| 489566.bh1 |
489566bh1 |
489566.bh |
489566bh |
$1$ |
$1$ |
\( 2 \cdot 7 \cdot 11^{2} \cdot 17^{2} \) |
\( 2^{16} \cdot 7 \cdot 11^{6} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$6.550461850$ |
$1$ |
|
$4$ |
$1474560$ |
$1.478722$ |
$2751936625/458752$ |
$0.92219$ |
$3.18972$ |
$[1, 0, 1, -23356, 1157242]$ |
\(y^2+xy+y=x^3-23356x+1157242\) |
28.2.0.a.1 |
$[(32, 649), (305, 4583)]$ |
