| 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 |
| 176001.a1 |
176001a1 |
176001.a |
176001a |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3 \cdot 7^{8} \cdot 17^{7} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.479824420$ |
$1$ |
|
$0$ |
$6488064$ |
$2.303944$ |
$-382530691698688/247258079691$ |
$0.90211$ |
$4.24955$ |
$[0, 1, 1, -437064, 161669744]$ |
\(y^2+y=x^3+x^2-437064x+161669744\) |
102.2.0.? |
$[(-71/3, 346931/3)]$ |
| 176001.b1 |
176001b2 |
176001.b |
176001b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( 3^{14} \cdot 7 \cdot 17^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.634689$ |
$93864490418994625/8137470827367$ |
$0.92119$ |
$4.64305$ |
$[1, 0, 0, -2736258, -1606586499]$ |
\(y^2+xy=x^3-2736258x-1606586499\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
| 176001.b2 |
176001b1 |
176001.b |
176001b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{2} \cdot 17^{10} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2322432$ |
$2.288113$ |
$29949846491375/259560466767$ |
$0.90897$ |
$4.19491$ |
$[1, 0, 0, 186977, -116321296]$ |
\(y^2+xy=x^3+186977x-116321296\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
| 176001.c1 |
176001c1 |
176001.c |
176001c |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3 \cdot 7^{5} \cdot 17^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41412$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1036800$ |
$1.862980$ |
$-217569787548625/24857553$ |
$0.88155$ |
$4.14075$ |
$[1, 0, 0, -362123, -83913414]$ |
\(y^2+xy=x^3-362123x-83913414\) |
41412.2.0.? |
$[]$ |
| 176001.d1 |
176001d3 |
176001.d |
176001d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( 3^{3} \cdot 7^{2} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$165648$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$7864320$ |
$2.707268$ |
$947531277805646290177/38367$ |
$1.01996$ |
$5.40639$ |
$[1, 0, 0, -59136342, 175032046917]$ |
\(y^2+xy=x^3-59136342x+175032046917\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 176001.d2 |
176001d6 |
176001.d |
176001d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( 3^{24} \cdot 7 \cdot 17^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$165648$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$15728640$ |
$3.053841$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.01583$ |
$[1, 0, 0, -12273547, -13455000118]$ |
\(y^2+xy=x^3-12273547x-13455000118\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[]$ |
| 176001.d3 |
176001d4 |
176001.d |
176001d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( 3^{12} \cdot 7^{2} \cdot 17^{6} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$82824$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$7864320$ |
$2.707268$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$4.72244$ |
$[1, 0, 0, -3766832, 2624392575]$ |
\(y^2+xy=x^3-3766832x+2624392575\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 68.24.0-4.b.1.1, $\ldots$ |
$[]$ |
| 176001.d4 |
176001d2 |
176001.d |
176001d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{4} \cdot 17^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$82824$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$3932160$ |
$2.360695$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$4.71773$ |
$[1, 0, 0, -3696027, 2734635960]$ |
\(y^2+xy=x^3-3696027x+2734635960\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 56.24.0.m.1, 68.24.0-4.b.1.3, $\ldots$ |
$[]$ |
| 176001.d5 |
176001d1 |
176001.d |
176001d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{3} \cdot 7^{8} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$165648$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1966080$ |
$2.014122$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.03558$ |
$[1, 0, 0, -226582, 44428307]$ |
\(y^2+xy=x^3-226582x+44428307\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 68.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 176001.d6 |
176001d5 |
176001.d |
176001d |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 17^{6} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$165648$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$15728640$ |
$3.053841$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$4.95767$ |
$[1, 0, 0, 3607003, 11648491848]$ |
\(y^2+xy=x^3+3607003x+11648491848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[]$ |
| 176001.e1 |
176001f1 |
176001.e |
176001f |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{3} \cdot 7^{2} \cdot 17^{7} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1.107593452$ |
$1$ |
|
$4$ |
$995328$ |
$1.850985$ |
$-203463474282496/18914931$ |
$0.92401$ |
$4.13520$ |
$[0, -1, 1, -354121, 81234900]$ |
\(y^2+y=x^3-x^2-354121x+81234900\) |
102.2.0.? |
$[(312, 1011)]$ |
| 176001.f1 |
176001h1 |
176001.f |
176001h |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{2} \cdot 17^{11} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14192640$ |
$2.802402$ |
$5723811971072/127963310116131$ |
$1.04758$ |
$4.71399$ |
$[0, -1, 1, 107701, 2673844652]$ |
\(y^2+y=x^3-x^2+107701x+2673844652\) |
102.2.0.? |
$[]$ |
| 176001.g1 |
176001g1 |
176001.g |
176001g |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{2} \cdot 17^{9} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$5.942698209$ |
$1$ |
|
$0$ |
$4230144$ |
$2.518124$ |
$312217698304/811116747$ |
$0.98101$ |
$4.40590$ |
$[0, -1, 1, 694371, 415773497]$ |
\(y^2+y=x^3-x^2+694371x+415773497\) |
102.2.0.? |
$[(367231/5, 222905204/5)]$ |
| 176001.h1 |
176001e1 |
176001.h |
176001e |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{2} \cdot 17^{3} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.239951280$ |
$1$ |
|
$18$ |
$248832$ |
$1.101519$ |
$312217698304/811116747$ |
$0.98101$ |
$2.99847$ |
$[0, 1, 1, 2403, 85475]$ |
\(y^2+y=x^3+x^2+2403x+85475\) |
102.2.0.? |
$[(45, 535), (3, 304)]$ |
| 176001.i1 |
176001i1 |
176001.i |
176001i |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{11} \cdot 7^{3} \cdot 17^{11} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$41412$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12925440$ |
$3.071632$ |
$-3647890145166891625/2501903339167113$ |
$0.94725$ |
$5.01080$ |
$[1, 0, 1, -9268381, -16055180731]$ |
\(y^2+xy+y=x^3-9268381x-16055180731\) |
41412.2.0.? |
$[]$ |
| 176001.j1 |
176001j2 |
176001.j |
176001j |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( 3^{2} \cdot 7 \cdot 17^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$327680$ |
$1.138872$ |
$4956477625/52983$ |
$0.86867$ |
$3.25571$ |
$[1, 0, 1, -10266, 395761]$ |
\(y^2+xy+y=x^3-10266x+395761\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
| 176001.j2 |
176001j1 |
176001.j |
176001j |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3 \cdot 7^{2} \cdot 17^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$163840$ |
$0.792298$ |
$-15625/4263$ |
$0.95144$ |
$2.71677$ |
$[1, 0, 1, -151, 15437]$ |
\(y^2+xy+y=x^3-151x+15437\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
| 176001.k1 |
176001m1 |
176001.k |
176001m |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{3} \cdot 7^{6} \cdot 17^{9} \cdot 29^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$10340352$ |
$2.614193$ |
$148540174336/2671455843$ |
$0.93261$ |
$4.52275$ |
$[0, -1, 1, 542068, -842642323]$ |
\(y^2+y=x^3-x^2+542068x-842642323\) |
102.2.0.? |
$[]$ |
| 176001.l1 |
176001k1 |
176001.l |
176001k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3 \cdot 7^{2} \cdot 17^{7} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2322432$ |
$1.892639$ |
$-2819954225152/1767495219$ |
$0.86027$ |
$3.84169$ |
$[0, 1, 1, -85062, 13753475]$ |
\(y^2+y=x^3+x^2-85062x+13753475\) |
102.2.0.? |
$[]$ |
| 176001.m1 |
176001l1 |
176001.m |
176001l |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 17^{2} \cdot 29 \) |
\( - 3^{3} \cdot 7^{6} \cdot 17^{3} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$0.984091329$ |
$1$ |
|
$0$ |
$608256$ |
$1.197588$ |
$148540174336/2671455843$ |
$0.93261$ |
$3.11532$ |
$[0, 1, 1, 1876, -170851]$ |
\(y^2+y=x^3+x^2+1876x-170851\) |
102.2.0.? |
$[(469/2, 10349/2)]$ |
