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 |
123210.a1 |
123210bk1 |
123210.a |
123210bk |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{17} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6854400$ |
$2.563488$ |
$1195367376229058809/73242187500000$ |
$1.02930$ |
$4.72958$ |
$[1, -1, 0, -2209545, -1194813779]$ |
\(y^2+xy=x^3-x^2-2209545x-1194813779\) |
120.2.0.? |
$[]$ |
123210.b1 |
123210bj4 |
123210.b |
123210bj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 37^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2157281280$ |
$5.505951$ |
$5087799435928552778197163696329/125914832087040$ |
$1.07238$ |
$8.44264$ |
$[1, -1, 0, -4414837415085, 3570428327858577445]$ |
\(y^2+xy=x^3-x^2-4414837415085x+3570428327858577445\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.b2 |
123210bj2 |
123210.b |
123210bj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{22} \cdot 3^{22} \cdot 5^{2} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1078640640$ |
$5.159378$ |
$1242142983306846366056931529/6179359141291622400$ |
$1.05738$ |
$7.73303$ |
$[1, -1, 0, -275927667885, 55787854482905125]$ |
\(y^2+xy=x^3-x^2-275927667885x+55787854482905125\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 296.12.0.?, $\ldots$ |
$[]$ |
123210.b3 |
123210bj3 |
123210.b |
123210bj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{38} \cdot 5^{4} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2157281280$ |
$5.505951$ |
$-1180159344892952613848670409/87759036144023189760000$ |
$1.05825$ |
$7.73897$ |
$[1, -1, 0, -271259487405, 57766538403876901]$ |
\(y^2+xy=x^3-x^2-271259487405x+57766538403876901\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.b4 |
123210bj1 |
123210.b |
123210bj |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{44} \cdot 3^{14} \cdot 5 \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$539320320$ |
$4.812798$ |
$318929057401476905525449/21353131537921474560$ |
$1.03975$ |
$7.02772$ |
$[1, -1, 0, -17537569965, 840631702001701]$ |
\(y^2+xy=x^3-x^2-17537569965x+840631702001701\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.c1 |
123210bi7 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{3} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$9953280$ |
$2.918930$ |
$16778985534208729/81000$ |
$1.08181$ |
$5.59786$ |
$[1, -1, 0, -65714310, 205056168300]$ |
\(y^2+xy=x^3-x^2-65714310x+205056168300\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
123210.c2 |
123210bi8 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{7} \cdot 5^{12} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$9953280$ |
$2.918930$ |
$10316097499609/5859375000$ |
$1.13600$ |
$4.96704$ |
$[1, -1, 0, -5587830, 693359676]$ |
\(y^2+xy=x^3-x^2-5587830x+693359676\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.3, $\ldots$ |
$[]$ |
123210.c3 |
123210bi6 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$4976640$ |
$2.572357$ |
$4102915888729/9000000$ |
$1.05221$ |
$4.88838$ |
$[1, -1, 0, -4109310, 3201225300]$ |
\(y^2+xy=x^3-x^2-4109310x+3201225300\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.1, 24.96.1.cp.2, $\ldots$ |
$[]$ |
123210.c4 |
123210bi5 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{4} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3317760$ |
$2.369625$ |
$2656166199049/33750$ |
$1.05017$ |
$4.85129$ |
$[1, -1, 0, -3554865, -2578863825]$ |
\(y^2+xy=x^3-x^2-3554865x-2578863825\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
123210.c5 |
123210bi4 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{18} \cdot 5 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$3317760$ |
$2.369625$ |
$35578826569/5314410$ |
$1.03393$ |
$4.48335$ |
$[1, -1, 0, -844245, 257381091]$ |
\(y^2+xy=x^3-x^2-844245x+257381091\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[]$ |
123210.c6 |
123210bi2 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{2} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.6.0.1, 3.4.0.1 |
2Cs, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$2$ |
$1658880$ |
$2.023052$ |
$702595369/72900$ |
$1.00457$ |
$4.14852$ |
$[1, -1, 0, -228195, -37953279]$ |
\(y^2+xy=x^3-x^2-228195x-37953279\) |
2.6.0.a.1, 3.4.0.a.1, 6.24.0.a.1, 12.48.0.a.2, 24.96.1.cp.4, $\ldots$ |
$[]$ |
123210.c7 |
123210bi3 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{3} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$2488320$ |
$2.225784$ |
$-273359449/1536000$ |
$1.04920$ |
$4.27027$ |
$[1, -1, 0, -166590, 85687956]$ |
\(y^2+xy=x^3-x^2-166590x+85687956\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.1, $\ldots$ |
$[]$ |
123210.c8 |
123210bi1 |
123210.c |
123210bi |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 5 \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$1.676477$ |
$357911/2160$ |
$0.99689$ |
$3.69308$ |
$[1, -1, 0, 18225, -2912355]$ |
\(y^2+xy=x^3-x^2+18225x-2912355\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.2, $\ldots$ |
$[]$ |
123210.d1 |
123210g1 |
123210.d |
123210g |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{33} \cdot 3^{3} \cdot 5^{7} \cdot 37^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$5.584234371$ |
$1$ |
|
$2$ |
$147692160$ |
$4.235420$ |
$2528326645183247067/671088640000000$ |
$1.05708$ |
$6.36065$ |
$[1, -1, 0, -1294282290, -13186095238700]$ |
\(y^2+xy=x^3-x^2-1294282290x-13186095238700\) |
120.2.0.? |
$[(-20877, 2186464)]$ |
123210.e1 |
123210f1 |
123210.e |
123210f |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{9} \cdot 5 \cdot 37^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.815437856$ |
$1$ |
|
$2$ |
$190080$ |
$0.927479$ |
$36963/10$ |
$1.02991$ |
$2.97303$ |
$[1, -1, 0, -2310, -30610]$ |
\(y^2+xy=x^3-x^2-2310x-30610\) |
120.2.0.? |
$[(61, 199)]$ |
123210.f1 |
123210c1 |
123210.f |
123210c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{7} \cdot 3^{3} \cdot 5^{4} \cdot 37^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1.391550172$ |
$1$ |
|
$2$ |
$1225728$ |
$2.010674$ |
$4516672077/2960000$ |
$0.97325$ |
$4.02609$ |
$[1, -1, 0, 141435, 7415381]$ |
\(y^2+xy=x^3-x^2+141435x+7415381\) |
888.2.0.? |
$[(361, 10087)]$ |
123210.g1 |
123210e1 |
123210.g |
123210e |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{3} \cdot 5 \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$6.443792366$ |
$1$ |
|
$2$ |
$2344320$ |
$2.183632$ |
$36963/10$ |
$1.02991$ |
$4.25902$ |
$[1, -1, 0, -351405, 58596815]$ |
\(y^2+xy=x^3-x^2-351405x+58596815\) |
120.2.0.? |
$[(-13, 7954)]$ |
123210.h1 |
123210d1 |
123210.h |
123210d |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{33} \cdot 3^{9} \cdot 5^{7} \cdot 37^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$20.80113521$ |
$1$ |
|
$0$ |
$11975040$ |
$2.979271$ |
$2528326645183247067/671088640000000$ |
$1.05708$ |
$5.07467$ |
$[1, -1, 0, -8508795, 7030996325]$ |
\(y^2+xy=x^3-x^2-8508795x+7030996325\) |
120.2.0.? |
$[(5193566461/769, 353073338043046/769)]$ |
123210.i1 |
123210bc2 |
123210.i |
123210bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{21} \cdot 3^{9} \cdot 5^{3} \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$177230592$ |
$4.254005$ |
$511189448451769/7077888000$ |
$1.03205$ |
$6.53224$ |
$[1, -1, 0, -2530468755, 48405720230325]$ |
\(y^2+xy=x^3-x^2-2530468755x+48405720230325\) |
3.4.0.a.1, 111.8.0.?, 120.8.0.?, 4440.16.0.? |
$[]$ |
123210.i2 |
123210bc1 |
123210.i |
123210bc |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{7} \cdot 3^{15} \cdot 5 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$59076864$ |
$3.704700$ |
$513108539209/12597120$ |
$0.99670$ |
$5.94324$ |
$[1, -1, 0, -253363140, -1518909536304]$ |
\(y^2+xy=x^3-x^2-253363140x-1518909536304\) |
3.4.0.a.1, 111.8.0.?, 120.8.0.?, 4440.16.0.? |
$[]$ |
123210.j1 |
123210ba1 |
123210.j |
123210ba |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$13320$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$1181952$ |
$1.963552$ |
$-16954786009/370$ |
$0.88414$ |
$4.42012$ |
$[1, -1, 0, -659430, -205950114]$ |
\(y^2+xy=x^3-x^2-659430x-205950114\) |
3.4.0.a.1, 9.12.0.a.1, 111.8.0.?, 120.8.0.?, 333.72.0.?, $\ldots$ |
$[]$ |
123210.j2 |
123210ba2 |
123210.j |
123210ba |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 37^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$13320$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$3545856$ |
$2.512859$ |
$-702595369/50653000$ |
$0.95453$ |
$4.56083$ |
$[1, -1, 0, -228195, -470124675]$ |
\(y^2+xy=x^3-x^2-228195x-470124675\) |
3.12.0.a.1, 111.24.0.?, 120.24.0.?, 333.72.0.?, 1480.2.0.?, $\ldots$ |
$[]$ |
123210.j3 |
123210ba3 |
123210.j |
123210ba |
$3$ |
$9$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{6} \cdot 5^{9} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$13320$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$10637568$ |
$3.062164$ |
$510273943271/37000000000$ |
$0.99687$ |
$5.12198$ |
$[1, -1, 0, 2051190, 12605795316]$ |
\(y^2+xy=x^3-x^2+2051190x+12605795316\) |
3.4.0.a.1, 9.12.0.a.1, 111.8.0.?, 120.8.0.?, 333.72.0.?, $\ldots$ |
$[]$ |
123210.k1 |
123210bb2 |
123210.k |
123210bb |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 5^{6} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23639040$ |
$3.320782$ |
$-39390416456458249/56832000000$ |
$0.98347$ |
$5.67087$ |
$[1, -1, 0, -87337665, 314572916925]$ |
\(y^2+xy=x^3-x^2-87337665x+314572916925\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 111.8.0.?, 888.16.0.? |
$[]$ |
123210.k2 |
123210bb1 |
123210.k |
123210bb |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{5} \cdot 3^{9} \cdot 5^{2} \cdot 37^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7879680$ |
$2.771477$ |
$223759095911/1094104800$ |
$0.94877$ |
$4.81154$ |
$[1, -1, 0, 1558350, 2043248436]$ |
\(y^2+xy=x^3-x^2+1558350x+2043248436\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 111.8.0.?, 888.16.0.? |
$[]$ |
123210.l1 |
123210v1 |
123210.l |
123210v |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{5} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221760$ |
$1.160633$ |
$19882608489/6400000$ |
$1.08471$ |
$3.20148$ |
$[1, -1, 0, -5640, -107200]$ |
\(y^2+xy=x^3-x^2-5640x-107200\) |
40.2.0.b.1 |
$[]$ |
123210.m1 |
123210w1 |
123210.m |
123210w |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{5} \cdot 3^{8} \cdot 5 \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$57600$ |
$0.438284$ |
$-81289/1440$ |
$0.87041$ |
$2.43761$ |
$[1, -1, 0, -90, 1876]$ |
\(y^2+xy=x^3-x^2-90x+1876\) |
40.2.0.a.1 |
$[]$ |
123210.n1 |
123210x4 |
123210.n |
123210x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{6} \cdot 5^{4} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2801664$ |
$2.431274$ |
$6825481747209/46250$ |
$0.96373$ |
$4.93180$ |
$[1, -1, 0, -4869105, 4136634251]$ |
\(y^2+xy=x^3-x^2-4869105x+4136634251\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.y.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.n2 |
123210x2 |
123210.n |
123210x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{2} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1400832$ |
$2.084702$ |
$1767172329/136900$ |
$0.99471$ |
$4.22721$ |
$[1, -1, 0, -310335, 62005625]$ |
\(y^2+xy=x^3-x^2-310335x+62005625\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.b.1, 120.24.0.?, 296.12.0.?, $\ldots$ |
$[]$ |
123210.n3 |
123210x1 |
123210.n |
123210x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 5 \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$700416$ |
$1.738129$ |
$15438249/2960$ |
$0.81779$ |
$3.82280$ |
$[1, -1, 0, -63915, -5069899]$ |
\(y^2+xy=x^3-x^2-63915x-5069899\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.y.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.n4 |
123210x3 |
123210.n |
123210x |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3^{6} \cdot 5 \cdot 37^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2801664$ |
$2.431274$ |
$1689410871/18741610$ |
$1.06786$ |
$4.47075$ |
$[1, -1, 0, 305715, 277253495]$ |
\(y^2+xy=x^3-x^2+305715x+277253495\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.s.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.o1 |
123210y1 |
123210.o |
123210y |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3^{8} \cdot 5 \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$875520$ |
$1.711880$ |
$357911/3330$ |
$0.81814$ |
$3.73313$ |
$[1, -1, 0, 18225, 3672535]$ |
\(y^2+xy=x^3-x^2+18225x+3672535\) |
1480.2.0.? |
$[]$ |
123210.p1 |
123210z1 |
123210.p |
123210z |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 5 \cdot 37^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1480$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$23639040$ |
$3.375355$ |
$-683565019129/1597684769280$ |
$1.04965$ |
$5.44392$ |
$[1, -1, 0, -2261160, -83180862144]$ |
\(y^2+xy=x^3-x^2-2261160x-83180862144\) |
1480.2.0.? |
$[]$ |
123210.q1 |
123210bd2 |
123210.q |
123210bd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{6} \cdot 5^{3} \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$0.622384$ |
$599188249/1000$ |
$0.89234$ |
$2.90271$ |
$[1, -1, 0, -1755, 28701]$ |
\(y^2+xy=x^3-x^2-1755x+28701\) |
3.4.0.a.1, 40.2.0.b.1, 111.8.0.?, 120.8.0.?, 4440.16.0.? |
$[]$ |
123210.q2 |
123210bd1 |
123210.q |
123210bd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{6} \cdot 5 \cdot 37^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4440$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$0.073078$ |
$81289/10$ |
$0.74821$ |
$2.14298$ |
$[1, -1, 0, -90, -270]$ |
\(y^2+xy=x^3-x^2-90x-270\) |
3.4.0.a.1, 40.2.0.b.1, 111.8.0.?, 120.8.0.?, 4440.16.0.? |
$[]$ |
123210.r1 |
123210be1 |
123210.r |
123210be |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 5 \cdot 37^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$32820480$ |
$3.464546$ |
$-1369/2488320$ |
$1.22531$ |
$5.53529$ |
$[1, -1, 0, -351405, -142096515035]$ |
\(y^2+xy=x^3-x^2-351405x-142096515035\) |
120.2.0.? |
$[]$ |
123210.s1 |
123210b1 |
123210.s |
123210b |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 37^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$6.542327268$ |
$1$ |
|
$2$ |
$16111872$ |
$3.203461$ |
$-26946027/1600$ |
$0.99595$ |
$5.39205$ |
$[1, -1, 0, -28463820, 61383018896]$ |
\(y^2+xy=x^3-x^2-28463820x+61383018896\) |
6.2.0.a.1 |
$[(-4127, 331531)]$ |
123210.t1 |
123210bf1 |
123210.t |
123210bf |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2301696$ |
$2.228207$ |
$1874161/1080$ |
$1.25589$ |
$4.25902$ |
$[1, -1, 0, -351405, -5124659]$ |
\(y^2+xy=x^3-x^2-351405x-5124659\) |
120.2.0.? |
$[]$ |
123210.u1 |
123210a1 |
123210.u |
123210a |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 37^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.769126412$ |
$1$ |
|
$4$ |
$145152$ |
$0.848697$ |
$-26946027/1600$ |
$0.99595$ |
$2.98137$ |
$[1, -1, 0, -2310, -44300]$ |
\(y^2+xy=x^3-x^2-2310x-44300\) |
6.2.0.a.1 |
$[(65, 245)]$ |
123210.v1 |
123210bg1 |
123210.v |
123210bg |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2 \cdot 3^{7} \cdot 5^{2} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1225728$ |
$1.767454$ |
$-4826809/5550$ |
$0.92507$ |
$3.81697$ |
$[1, -1, 0, -43380, -5999450]$ |
\(y^2+xy=x^3-x^2-43380x-5999450\) |
888.2.0.? |
$[]$ |
123210.w1 |
123210bh4 |
123210.w |
123210bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{22} \cdot 5^{5} \cdot 37^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$252149760$ |
$4.557556$ |
$3639478711331685826729/2016912141902025000$ |
$1.06074$ |
$6.64611$ |
$[1, -1, 0, -3948369435, 19660563560925]$ |
\(y^2+xy=x^3-x^2-3948369435x+19660563560925\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.w2 |
123210bh2 |
123210.w |
123210bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{6} \cdot 3^{14} \cdot 5^{10} \cdot 37^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$4440$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$2$ |
$126074880$ |
$4.210983$ |
$825824067562227826729/5613755625000000$ |
$1.02166$ |
$6.51957$ |
$[1, -1, 0, -2408244435, -45219666264075]$ |
\(y^2+xy=x^3-x^2-2408244435x-45219666264075\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 296.12.0.?, $\ldots$ |
$[]$ |
123210.w3 |
123210bh1 |
123210.w |
123210bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{5} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$63037440$ |
$3.864410$ |
$821774646379511057449/38361600000$ |
$1.02151$ |
$6.51915$ |
$[1, -1, 0, -2404301715, -45375956473419]$ |
\(y^2+xy=x^3-x^2-2404301715x-45375956473419\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.w4 |
123210bh3 |
123210.w |
123210bh |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{3} \cdot 3^{10} \cdot 5^{20} \cdot 37^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$4440$ |
$48$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$252149760$ |
$4.557556$ |
$-47744008200656797609/2286529541015625000$ |
$1.05861$ |
$6.65414$ |
$[1, -1, 0, -931202955, -100097370003699]$ |
\(y^2+xy=x^3-x^2-931202955x-100097370003699\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
123210.x1 |
123210q1 |
123210.x |
123210q |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{9} \cdot 5^{5} \cdot 37^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10869120$ |
$2.765583$ |
$456076467/6250$ |
$0.89636$ |
$5.00894$ |
$[1, -1, 0, -6581724, 6423399530]$ |
\(y^2+xy=x^3-x^2-6581724x+6423399530\) |
120.2.0.? |
$[]$ |
123210.y1 |
123210p1 |
123210.y |
123210p |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2 \cdot 3^{3} \cdot 5^{5} \cdot 37^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$0.887069669$ |
$1$ |
|
$10$ |
$97920$ |
$0.410818$ |
$456076467/6250$ |
$0.89636$ |
$2.59826$ |
$[1, -1, 0, -534, -4562]$ |
\(y^2+xy=x^3-x^2-534x-4562\) |
120.2.0.? |
$[(-13, 14), (77, 599)]$ |
123210.z1 |
123210br4 |
123210.z |
123210br |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{9} \cdot 3^{8} \cdot 5 \cdot 37^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$9.718990403$ |
$1$ |
|
$0$ |
$66189312$ |
$3.691910$ |
$127568139540190201/59114336463360$ |
$1.00920$ |
$5.77091$ |
$[1, -1, 0, -129216744, 252398230848]$ |
\(y^2+xy=x^3-x^2-129216744x+252398230848\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.5, 40.6.0.b.1, $\ldots$ |
$[(-1718601/14, 2326135785/14)]$ |
123210.z2 |
123210br2 |
123210.z |
123210br |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( 2^{3} \cdot 3^{12} \cdot 5^{3} \cdot 37^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$3.239663467$ |
$1$ |
|
$2$ |
$22063104$ |
$3.142601$ |
$16581570075765001/998001000$ |
$0.97935$ |
$5.59685$ |
$[1, -1, 0, -65455569, -203802996267]$ |
\(y^2+xy=x^3-x^2-65455569x-203802996267\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.11, 40.6.0.b.1, $\ldots$ |
$[(12127, 880364)]$ |
123210.z3 |
123210br1 |
123210.z |
123210br |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 37^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$1.619831733$ |
$1$ |
|
$7$ |
$11031552$ |
$2.796028$ |
$-3375675045001/999000000$ |
$0.93609$ |
$4.90698$ |
$[1, -1, 0, -3850569, -3574425267]$ |
\(y^2+xy=x^3-x^2-3850569x-3574425267\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.1, 40.6.0.c.1, 111.8.0.?, $\ldots$ |
$[(3802, 189759)]$ |
123210.z4 |
123210br3 |
123210.z |
123210br |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 37^{2} \) |
\( - 2^{18} \cdot 3^{7} \cdot 5^{2} \cdot 37^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$4440$ |
$96$ |
$1$ |
$4.859495201$ |
$1$ |
|
$1$ |
$33094656$ |
$3.345333$ |
$1367594037332999/995878502400$ |
$0.99161$ |
$5.38397$ |
$[1, -1, 0, 28492056, 29744947008]$ |
\(y^2+xy=x^3-x^2+28492056x+29744947008\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0-6.a.1.3, 40.6.0.c.1, 111.8.0.?, $\ldots$ |
$[(160029/4, 73076139/4)]$ |