| 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 |
| 5610.o2 |
5610n3 |
5610.o |
5610n |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$4488$ |
$96$ |
$1$ |
$3.907760754$ |
$1$ |
|
$1$ |
$34560$ |
$1.550688$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.84823$ |
$[1, 0, 1, -23844, 403426]$ |
\(y^2+xy+y=x^3-23844x+403426\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 66.48.0-66.b.1.3, 136.6.0.?, $\ldots$ |
$[(-263/3, 28381/3)]$ |
| 16830.cu2 |
16830cp3 |
16830.cu |
16830cp |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$4488$ |
$96$ |
$1$ |
$3.003000417$ |
$1$ |
|
$11$ |
$276480$ |
$2.099995$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.97826$ |
$[1, -1, 1, -214592, -10892509]$ |
\(y^2+xy+y=x^3-x^2-214592x-10892509\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 66.48.0-66.b.1.4, 136.6.0.?, $\ldots$ |
$[(-399, 3529)]$ |
| 28050.cf2 |
28050cj3 |
28050.cf |
28050cj |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 5^{12} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$2.355408$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.02922$ |
$[1, 1, 1, -596088, 50428281]$ |
\(y^2+xy+y=x^3+x^2-596088x+50428281\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.1, 30.24.0-6.a.1.1, $\ldots$ |
$[]$ |
| 44880.e2 |
44880bc3 |
44880.e |
44880bc |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$2.243835$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.68357$ |
$[0, -1, 0, -381496, -25819280]$ |
\(y^2=x^3-x^2-381496x-25819280\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.9, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 61710.cj2 |
61710co3 |
61710.cj |
61710co |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11^{7} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1.174688677$ |
$1$ |
|
$5$ |
$4147200$ |
$2.749634$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.09862$ |
$[1, 0, 0, -2885066, -539845404]$ |
\(y^2+xy=x^3-2885066x-539845404\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 33.8.0-3.a.1.1, 66.48.0-66.b.1.2, $\ldots$ |
$[(55626, 13085562)]$ |
| 84150.s2 |
84150bf3 |
84150.s |
84150bf |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{12} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.904713$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.12327$ |
$[1, -1, 0, -5364792, -1366928384]$ |
\(y^2+xy=x^3-x^2-5364792x-1366928384\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 15.8.0-3.a.1.2, 30.24.0-6.a.1.2, $\ldots$ |
$[]$ |
| 95370.o2 |
95370p3 |
95370.o |
95370p |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$9953280$ |
$2.967293$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.13284$ |
$[1, 1, 0, -6890777, 1988923941]$ |
\(y^2+xy=x^3+x^2-6890777x+1988923941\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
| 134640.dq2 |
134640j3 |
134640.dq |
134640j |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$0.690412852$ |
$1$ |
|
$29$ |
$6635520$ |
$2.793140$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.80602$ |
$[0, 0, 0, -3433467, 700554026]$ |
\(y^2=x^3-3433467x+700554026\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[(7, 26010), (-758, 53550)]$ |
| 179520.dv2 |
179520hj3 |
179520.dv |
179520hj |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6635520$ |
$2.590408$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.49065$ |
$[0, -1, 0, -1525985, 208080225]$ |
\(y^2=x^3-x^2-1525985x+208080225\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 179520.gu2 |
179520h3 |
179520.gu |
179520h |
$4$ |
$6$ |
\( 2^{6} \cdot 3 \cdot 5 \cdot 11 \cdot 17 \) |
\( 2^{24} \cdot 3 \cdot 5^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$6.279378783$ |
$1$ |
|
$1$ |
$6635520$ |
$2.590408$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.49065$ |
$[0, 1, 0, -1525985, -208080225]$ |
\(y^2=x^3+x^2-1525985x-208080225\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.14, 66.24.0.b.1, $\ldots$ |
$[(-3555/2, 169125/2)]$ |
| 185130.bu2 |
185130db3 |
185130.bu |
185130db |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$33177600$ |
$3.298943$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.18026$ |
$[1, -1, 0, -25965594, 14575825908]$ |
\(y^2+xy=x^3-x^2-25965594x+14575825908\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 33.8.0-3.a.1.2, 66.48.0-66.b.1.1, $\ldots$ |
$[]$ |
| 224400.hp2 |
224400cs3 |
224400.hp |
224400cs |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17 \) |
\( 2^{18} \cdot 3 \cdot 5^{12} \cdot 11 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$19906560$ |
$3.048553$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.85552$ |
$[0, 1, 0, -9537408, -3246484812]$ |
\(y^2=x^3+x^2-9537408x-3246484812\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 60.24.0-6.a.1.2, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 274890.bp2 |
274890bp3 |
274890.bp |
274890bp |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 5^{6} \cdot 7^{6} \cdot 11 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$31416$ |
$96$ |
$1$ |
$0.968023371$ |
$1$ |
|
$7$ |
$12441600$ |
$2.523643$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.27390$ |
$[1, 1, 0, -1168332, -139543536]$ |
\(y^2+xy=x^3+x^2-1168332x-139543536\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 21.8.0-3.a.1.2, 42.24.0-6.a.1.4, $\ldots$ |
$[(-727, 18426)]$ |
| 286110.dy2 |
286110dy3 |
286110.dy |
286110dy |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{7} \cdot 5^{6} \cdot 11 \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$79626240$ |
$3.516602$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.20867$ |
$[1, -1, 1, -62016998, -53762963403]$ |
\(y^2+xy+y=x^3-x^2-62016998x-53762963403\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
| 308550.bz2 |
308550bz3 |
308550.bz |
308550bz |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 17 \) |
\( 2^{6} \cdot 3 \cdot 5^{12} \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$99532800$ |
$3.554356$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.21339$ |
$[1, 1, 0, -72126650, -67480675500]$ |
\(y^2+xy=x^3+x^2-72126650x-67480675500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 30.24.0-6.a.1.3, 66.24.0.b.1, $\ldots$ |
$[]$ |
| 476850.jr2 |
476850jr3 |
476850.jr |
476850jr |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 11 \cdot 17^{2} \) |
\( 2^{6} \cdot 3 \cdot 5^{12} \cdot 11 \cdot 17^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$22440$ |
$96$ |
$1$ |
$34.78668323$ |
$1$ |
|
$1$ |
$238878720$ |
$3.772015$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$5.23958$ |
$[1, 0, 0, -172269438, 248960031492]$ |
\(y^2+xy=x^3-172269438x+248960031492\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 66.24.0.b.1, 120.24.0.?, $\ldots$ |
$[(243306885844108012/3705321, 84089935452284834919323674/3705321)]$ |
| 493680.br2 |
493680br3 |
493680.br |
493680br |
$4$ |
$6$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 17 \) |
\( 2^{18} \cdot 3 \cdot 5^{6} \cdot 11^{7} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4488$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$99532800$ |
$3.442783$ |
$1499114720492202169/796539777000000$ |
$0.99040$ |
$4.92436$ |
$[0, -1, 0, -46161056, 34550105856]$ |
\(y^2=x^3-x^2-46161056x+34550105856\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 66.24.0.b.1, $\ldots$ |
$[]$ |
