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 |
247962.a1 |
247962a1 |
247962.a |
247962a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3 \cdot 11 \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$1.543765720$ |
$1$ |
|
$7$ |
$1843200$ |
$1.545361$ |
$90458382169/25788048$ |
$0.96781$ |
$3.39967$ |
$[1, 1, 0, -27027, -1229475]$ |
\(y^2+xy=x^3+x^2-27027x-1229475\) |
2.3.0.a.1, 66.6.0.a.1, 68.6.0.b.1, 2244.12.0.? |
$[(-118, 637)]$ |
247962.a2 |
247962a2 |
247962.a |
247962a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2244$ |
$12$ |
$0$ |
$0.771882860$ |
$1$ |
|
$8$ |
$3686400$ |
$1.891933$ |
$1656015369191/2114999172$ |
$0.87319$ |
$3.64888$ |
$[1, 1, 0, 71233, -8009415]$ |
\(y^2+xy=x^3+x^2+71233x-8009415\) |
2.3.0.a.1, 68.6.0.a.1, 132.6.0.?, 2244.12.0.? |
$[(239, 4649)]$ |
247962.b1 |
247962b1 |
247962.b |
247962b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 11^{3} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$58344$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$16174080$ |
$2.833397$ |
$-124352595912593543977/103332962304$ |
$1.02112$ |
$5.09369$ |
$[1, 1, 0, -30052104, 63397917504]$ |
\(y^2+xy=x^3+x^2-30052104x+63397917504\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 1144.2.0.?, 3432.8.0.?, 58344.16.0.? |
$[]$ |
247962.b2 |
247962b2 |
247962.b |
247962b |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{39} \cdot 3^{2} \cdot 11 \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$58344$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48522240$ |
$3.382702$ |
$-58169016237585194137/119573538788081664$ |
$1.03495$ |
$5.15454$ |
$[1, 1, 0, -23328519, 92520911349]$ |
\(y^2+xy=x^3+x^2-23328519x+92520911349\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 1144.2.0.?, 3432.8.0.?, 58344.16.0.? |
$[]$ |
247962.c1 |
247962c1 |
247962.c |
247962c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 11^{6} \cdot 13^{11} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$132789888$ |
$3.558487$ |
$1010427838681505646320034697/27774212930510449210236$ |
$1.02886$ |
$5.46224$ |
$[1, 1, 0, -138216474, -610466208984]$ |
\(y^2+xy=x^3+x^2-138216474x-610466208984\) |
156.2.0.? |
$[]$ |
247962.d1 |
247962d1 |
247962.d |
247962d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3^{5} \cdot 11 \cdot 13 \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1.545663798$ |
$1$ |
|
$2$ |
$691200$ |
$1.318903$ |
$18191447/2362932$ |
$0.84393$ |
$3.14990$ |
$[1, 1, 0, 1584, 363204]$ |
\(y^2+xy=x^3+x^2+1584x+363204\) |
29172.2.0.? |
$[(-16, 586)]$ |
247962.e1 |
247962e1 |
247962.e |
247962e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{12} \cdot 11 \cdot 13 \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1144$ |
$2$ |
$0$ |
$5.866966044$ |
$1$ |
|
$0$ |
$10063872$ |
$2.494953$ |
$-1449073218392281/2811246362496$ |
$0.92302$ |
$4.29753$ |
$[1, 1, 0, -681323, 451302909]$ |
\(y^2+xy=x^3+x^2-681323x+451302909\) |
1144.2.0.? |
$[(-45031/11, 34272652/11)]$ |
247962.f1 |
247962f3 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{24} \cdot 3 \cdot 11 \cdot 13^{6} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$131383296$ |
$3.848671$ |
$3957101249824708884951625/772310238681366528$ |
$0.99739$ |
$5.92840$ |
$[1, 1, 0, -952318730, -11310025748268]$ |
\(y^2+xy=x^3+x^2-952318730x-11310025748268\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
247962.f2 |
247962f4 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 11^{2} \cdot 13^{12} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$262766592$ |
$4.195244$ |
$-2830680648734534916567625/1766676274677722124288$ |
$1.00284$ |
$5.96033$ |
$[1, 1, 0, -851700490, -13793102798636]$ |
\(y^2+xy=x^3+x^2-851700490x-13793102798636\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 51.8.0-3.a.1.1, $\ldots$ |
$[]$ |
247962.f3 |
247962f1 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{3} \cdot 13^{2} \cdot 17^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$43794432$ |
$3.299366$ |
$111675519439697265625/37528570137307392$ |
$1.12088$ |
$5.08504$ |
$[1, 1, 0, -28994075, 38899354269]$ |
\(y^2+xy=x^3+x^2-28994075x+38899354269\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
247962.f4 |
247962f2 |
247962.f |
247962f |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 11^{6} \cdot 13^{4} \cdot 17^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$2244$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$87588864$ |
$3.645939$ |
$2773679829880629422375/2899504554614368272$ |
$0.98697$ |
$5.34366$ |
$[1, 1, 0, 84594485, 268961623693]$ |
\(y^2+xy=x^3+x^2+84594485x+268961623693\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 51.8.0-3.a.1.2, $\ldots$ |
$[]$ |
247962.g1 |
247962g4 |
247962.g |
247962g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{12} \cdot 3 \cdot 11^{6} \cdot 13^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$6.794820239$ |
$1$ |
|
$2$ |
$17915904$ |
$2.852432$ |
$30618029936661765625/3678951124992$ |
$1.13012$ |
$4.98086$ |
$[1, 1, 0, -18835725, -31469140131]$ |
\(y^2+xy=x^3+x^2-18835725x-31469140131\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 51.8.0-3.a.1.1, $\ldots$ |
$[(23258, 3468627)]$ |
247962.g2 |
247962g3 |
247962.g |
247962g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{24} \cdot 3^{2} \cdot 11^{3} \cdot 13 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$13.58964047$ |
$1$ |
|
$1$ |
$8957952$ |
$2.505859$ |
$-5764706497797625/2612665516032$ |
$0.98882$ |
$4.33685$ |
$[1, 1, 0, -1079565, -576972963]$ |
\(y^2+xy=x^3+x^2-1079565x-576972963\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 51.8.0-3.a.1.1, $\ldots$ |
$[(17841819/94, 60653246511/94)]$ |
247962.g3 |
247962g2 |
247962.g |
247962g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 13^{6} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$2.264940079$ |
$1$ |
|
$4$ |
$5971968$ |
$2.303123$ |
$645532578015625/252306960048$ |
$1.03336$ |
$4.11402$ |
$[1, 1, 0, -520350, 82097028]$ |
\(y^2+xy=x^3+x^2-520350x+82097028\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.h.1, 51.8.0-3.a.1.2, $\ldots$ |
$[(716, 8430)]$ |
247962.g4 |
247962g1 |
247962.g |
247962g |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 11 \cdot 13^{3} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$29172$ |
$96$ |
$1$ |
$4.529880159$ |
$1$ |
|
$3$ |
$2985984$ |
$1.956553$ |
$5137417856375/4510142208$ |
$0.96333$ |
$3.72488$ |
$[1, 1, 0, 103890, 9310644]$ |
\(y^2+xy=x^3+x^2+103890x+9310644\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.i.1, 51.8.0-3.a.1.2, $\ldots$ |
$[(-20, 2698)]$ |
247962.h1 |
247962h2 |
247962.h |
247962h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 3^{2} \cdot 11 \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$1.285540$ |
$174958262857/33462$ |
$0.91387$ |
$3.45278$ |
$[1, 1, 0, -33674, -2392122]$ |
\(y^2+xy=x^3+x^2-33674x-2392122\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[]$ |
247962.h2 |
247962h1 |
247962.h |
247962h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{2} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$414720$ |
$0.938966$ |
$-30664297/18876$ |
$0.83618$ |
$2.81477$ |
$[1, 1, 0, -1884, -46020]$ |
\(y^2+xy=x^3+x^2-1884x-46020\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[]$ |
247962.i1 |
247962i2 |
247962.i |
247962i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$4.873523040$ |
$1$ |
|
$2$ |
$16154624$ |
$2.911655$ |
$893863401019289/32468145138$ |
$0.93480$ |
$4.82452$ |
$[1, 1, 0, -9859674, 11532172410]$ |
\(y^2+xy=x^3+x^2-9859674x+11532172410\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(32777, 5891494)]$ |
247962.i2 |
247962i1 |
247962.i |
247962i |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \cdot 13^{4} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$2.436761520$ |
$1$ |
|
$3$ |
$8077312$ |
$2.565079$ |
$3518049774329/1119705444$ |
$0.90714$ |
$4.37869$ |
$[1, 1, 0, -1556704, -502152308]$ |
\(y^2+xy=x^3+x^2-1556704x-502152308\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(-386, 6628)]$ |
247962.j1 |
247962j1 |
247962.j |
247962j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11 \cdot 13^{7} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1655808$ |
$1.638859$ |
$-1923324734457881/298180952784$ |
$0.94186$ |
$3.53673$ |
$[1, 1, 0, -44044, 3987808]$ |
\(y^2+xy=x^3+x^2-44044x+3987808\) |
29172.2.0.? |
$[]$ |
247962.k1 |
247962k1 |
247962.k |
247962k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{30} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7482240$ |
$2.133942$ |
$82097037255189817/5066987667456$ |
$0.97128$ |
$4.04794$ |
$[1, 1, 0, -395791, 90420517]$ |
\(y^2+xy=x^3+x^2-395791x+90420517\) |
156.2.0.? |
$[]$ |
247962.l1 |
247962l1 |
247962.l |
247962l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{2} \cdot 11^{4} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$7.555472178$ |
$1$ |
|
$1$ |
$43352064$ |
$3.022194$ |
$6793805286030262681/1048227429629952$ |
$0.98644$ |
$4.85965$ |
$[1, 1, 0, -11403223, 12687986005]$ |
\(y^2+xy=x^3+x^2-11403223x+12687986005\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(384190/7, 217036135/7)]$ |
247962.l2 |
247962l2 |
247962.l |
247962l |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{4} \cdot 11^{8} \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$15.11094435$ |
$1$ |
|
$0$ |
$86704128$ |
$3.368767$ |
$35862531227445945959/108547797844556928$ |
$1.00994$ |
$5.10970$ |
$[1, 1, 0, 19855017, 70046856405]$ |
\(y^2+xy=x^3+x^2+19855017x+70046856405\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(57815165/188, 2167136840415/188)]$ |
247962.m1 |
247962m1 |
247962.m |
247962m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{30} \cdot 3 \cdot 11^{2} \cdot 13 \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$10.58358799$ |
$1$ |
|
$0$ |
$127198080$ |
$3.550549$ |
$82097037255189817/5066987667456$ |
$0.97128$ |
$5.41652$ |
$[1, 0, 1, -114383750, 445036685912]$ |
\(y^2+xy+y=x^3-114383750x+445036685912\) |
156.2.0.? |
$[(-53870/3, 25911371/3)]$ |
247962.n1 |
247962n1 |
247962.n |
247962n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 11 \cdot 13^{7} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28148736$ |
$3.055466$ |
$-1923324734457881/298180952784$ |
$0.94186$ |
$4.90532$ |
$[1, 0, 1, -12728867, 19681202414]$ |
\(y^2+xy+y=x^3-12728867x+19681202414\) |
29172.2.0.? |
$[]$ |
247962.o1 |
247962o4 |
247962.o |
247962o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 11^{4} \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19448$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3932160$ |
$2.078732$ |
$13778603383488553/13703976$ |
$1.03871$ |
$4.36044$ |
$[1, 0, 1, -1443417, -667595660]$ |
\(y^2+xy+y=x^3-1443417x-667595660\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
247962.o2 |
247962o3 |
247962.o |
247962o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{8} \cdot 11 \cdot 13^{4} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19448$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3932160$ |
$2.078732$ |
$47504791830313/16490207448$ |
$0.96779$ |
$3.90395$ |
$[1, 0, 1, -218057, 24774356]$ |
\(y^2+xy+y=x^3-218057x+24774356\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
247962.o3 |
247962o2 |
247962.o |
247962o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{2} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$19448$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1966080$ |
$1.732159$ |
$3440899317673/106007616$ |
$1.00103$ |
$3.69261$ |
$[1, 0, 1, -90897, -10270940]$ |
\(y^2+xy+y=x^3-90897x-10270940\) |
2.6.0.a.1, 88.12.0.?, 104.12.0.?, 136.12.0.?, 572.12.0.?, $\ldots$ |
$[]$ |
247962.o4 |
247962o1 |
247962.o |
247962o |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19448$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$983040$ |
$1.385586$ |
$18191447/5271552$ |
$0.96388$ |
$3.21470$ |
$[1, 0, 1, 1583, -542044]$ |
\(y^2+xy+y=x^3+1583x-542044\) |
2.3.0.a.1, 4.6.0.c.1, 88.12.0.?, 104.12.0.?, 136.12.0.?, $\ldots$ |
$[]$ |
247962.p1 |
247962p2 |
247962.p |
247962p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2 \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$0.664450567$ |
$1$ |
|
$8$ |
$950272$ |
$1.495047$ |
$893863401019289/32468145138$ |
$0.93480$ |
$3.45593$ |
$[1, 0, 1, -34117, 2345270]$ |
\(y^2+xy+y=x^3-34117x+2345270\) |
2.3.0.a.1, 8.6.0.f.1, 68.6.0.c.1, 136.12.0.? |
$[(160, 914)]$ |
247962.p2 |
247962p1 |
247962.p |
247962p |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{4} \cdot 11^{2} \cdot 13^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.2 |
2B |
$136$ |
$12$ |
$0$ |
$0.332225283$ |
$1$ |
|
$11$ |
$475136$ |
$1.148474$ |
$3518049774329/1119705444$ |
$0.90714$ |
$3.01010$ |
$[1, 0, 1, -5387, -102526]$ |
\(y^2+xy+y=x^3-5387x-102526\) |
2.3.0.a.1, 8.6.0.f.1, 34.6.0.a.1, 136.12.0.? |
$[(-48, 238)]$ |
247962.q1 |
247962q1 |
247962.q |
247962q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 11^{2} \cdot 13^{4} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$136$ |
$12$ |
$0$ |
$1.210678103$ |
$1$ |
|
$7$ |
$6193152$ |
$2.356487$ |
$3047678972871625/304559880768$ |
$0.90943$ |
$4.23897$ |
$[1, 0, 1, -872931, -285604130]$ |
\(y^2+xy+y=x^3-872931x-285604130\) |
2.3.0.a.1, 8.6.0.d.1, 34.6.0.a.1, 136.12.0.? |
$[(-505, 5400)]$ |
247962.q2 |
247962q2 |
247962.q |
247962q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{8} \cdot 11^{4} \cdot 13^{2} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$136$ |
$12$ |
$0$ |
$2.421356206$ |
$1$ |
|
$4$ |
$12386304$ |
$2.703060$ |
$5783051584712375/37533175779528$ |
$0.94430$ |
$4.47764$ |
$[1, 0, 1, 1080709, -1381986898]$ |
\(y^2+xy+y=x^3+1080709x-1381986898\) |
2.3.0.a.1, 8.6.0.a.1, 68.6.0.c.1, 136.12.0.? |
$[(2030, 94788)]$ |
247962.r1 |
247962r1 |
247962.r |
247962r |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{22} \cdot 3^{7} \cdot 11^{5} \cdot 13 \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67415040$ |
$3.531521$ |
$-5275941807135921123097/326485867713527808$ |
$0.97660$ |
$5.40360$ |
$[1, 0, 1, -104814960, 434545025854]$ |
\(y^2+xy+y=x^3-104814960x+434545025854\) |
29172.2.0.? |
$[]$ |
247962.s1 |
247962s1 |
247962.s |
247962s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{6} \cdot 3 \cdot 11 \cdot 13^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$29172$ |
$2$ |
$0$ |
$2.058448815$ |
$1$ |
|
$2$ |
$1410048$ |
$1.616133$ |
$-15124197817/78881088$ |
$0.85038$ |
$3.44115$ |
$[1, 0, 1, -14890, 2211548]$ |
\(y^2+xy+y=x^3-14890x+2211548\) |
29172.2.0.? |
$[(2013, 89161)]$ |
247962.t1 |
247962t1 |
247962.t |
247962t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 11^{6} \cdot 13^{11} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$0.764374358$ |
$1$ |
|
$4$ |
$2257428096$ |
$4.975090$ |
$1010427838681505646320034697/27774212930510449210236$ |
$1.02886$ |
$6.83082$ |
$[1, 0, 1, -39944561137, -2998940872810792]$ |
\(y^2+xy+y=x^3-39944561137x-2998940872810792\) |
156.2.0.? |
$[(-117731, 8541482)]$ |
247962.u1 |
247962u2 |
247962.u |
247962u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{2} \cdot 3 \cdot 11^{2} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1576960$ |
$1.270235$ |
$25128011089/245388$ |
$0.95435$ |
$3.29655$ |
$[1, 1, 1, -17635, -901099]$ |
\(y^2+xy+y=x^3+x^2-17635x-901099\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[]$ |
247962.u2 |
247962u1 |
247962.u |
247962u |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 11 \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$788480$ |
$0.923661$ |
$-117649/20592$ |
$1.10162$ |
$2.76869$ |
$[1, 1, 1, -295, -34099]$ |
\(y^2+xy+y=x^3+x^2-295x-34099\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[]$ |
247962.v1 |
247962v2 |
247962.v |
247962v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{7} \cdot 3^{2} \cdot 11 \cdot 13^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8386560$ |
$2.390697$ |
$44308125149913793/61165323648$ |
$1.06882$ |
$4.45448$ |
$[1, 1, 1, -2130514, -1196405665]$ |
\(y^2+xy+y=x^3+x^2-2130514x-1196405665\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[]$ |
247962.v2 |
247962v1 |
247962.v |
247962v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{14} \cdot 3 \cdot 11^{2} \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4193280$ |
$2.044121$ |
$-4047806261953/13066420224$ |
$1.06397$ |
$3.85735$ |
$[1, 1, 1, -95954, -29382049]$ |
\(y^2+xy+y=x^3+x^2-95954x-29382049\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[]$ |
247962.w1 |
247962w1 |
247962.w |
247962w |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{5} \cdot 11^{2} \cdot 13^{9} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$11.83893638$ |
$1$ |
|
$0$ |
$487347840$ |
$4.403328$ |
$-9962948853954349032673/39910924168232832$ |
$1.08838$ |
$6.35955$ |
$[1, 1, 1, -5663059624, 164594969907497]$ |
\(y^2+xy+y=x^3+x^2-5663059624x+164594969907497\) |
312.2.0.? |
$[(1303009/3, 1315087375/3)]$ |
247962.x1 |
247962x1 |
247962.x |
247962x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{9} \cdot 11^{2} \cdot 13 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$312$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$311040$ |
$0.791839$ |
$-627177264913/247690872$ |
$0.87775$ |
$2.68506$ |
$[1, 1, 1, -1179, -20703]$ |
\(y^2+xy+y=x^3+x^2-1179x-20703\) |
312.2.0.? |
$[]$ |
247962.y1 |
247962y1 |
247962.y |
247962y |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{7} \cdot 3^{14} \cdot 11^{7} \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$136136$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$173859840$ |
$4.052429$ |
$-21293376668673906679951249/26211168887701209984$ |
$1.05359$ |
$6.06406$ |
$[1, 1, 1, -1668801895, 26266680670493]$ |
\(y^2+xy+y=x^3+x^2-1668801895x+26266680670493\) |
7.24.0.a.1, 119.48.0.?, 1144.2.0.?, 8008.48.2.?, 136136.96.2.? |
$[]$ |
247962.y2 |
247962y2 |
247962.y |
247962y |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11 \cdot 13^{21} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$136136$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$1217018880$ |
$5.025383$ |
$483641001192506212470106511/48918776756543177755473774$ |
$1.10028$ |
$6.73056$ |
$[1, 1, 1, 4726042715, -1648527545143447]$ |
\(y^2+xy+y=x^3+x^2+4726042715x-1648527545143447\) |
7.24.0.a.2, 119.48.0.?, 1144.2.0.?, 8008.48.2.?, 136136.96.2.? |
$[]$ |
247962.z1 |
247962z1 |
247962.z |
247962z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{6} \cdot 3^{5} \cdot 11^{2} \cdot 13^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$156$ |
$2$ |
$0$ |
$0.648251942$ |
$1$ |
|
$6$ |
$7931520$ |
$2.458485$ |
$27768533625361/4134297024$ |
$0.90273$ |
$4.31692$ |
$[1, 1, 1, -1205425, 438506639]$ |
\(y^2+xy+y=x^3+x^2-1205425x+438506639\) |
156.2.0.? |
$[(409, 3552)]$ |
247962.ba1 |
247962ba2 |
247962.ba |
247962ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2 \cdot 3^{2} \cdot 11^{3} \cdot 13^{3} \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$58344$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3732480$ |
$1.785093$ |
$-25979045828113/52635726$ |
$0.95062$ |
$3.85565$ |
$[1, 1, 1, -178319, -29108077]$ |
\(y^2+xy+y=x^3+x^2-178319x-29108077\) |
3.4.0.a.1, 51.8.0-3.a.1.1, 1144.2.0.?, 3432.8.0.?, 58344.16.0.? |
$[]$ |
247962.ba2 |
247962ba1 |
247962.ba |
247962ba |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{3} \cdot 3^{6} \cdot 11 \cdot 13 \cdot 17^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$58344$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1244160$ |
$1.235786$ |
$241804367/833976$ |
$0.89201$ |
$3.05162$ |
$[1, 1, 1, 3751, -195361]$ |
\(y^2+xy+y=x^3+x^2+3751x-195361\) |
3.4.0.a.1, 51.8.0-3.a.1.2, 1144.2.0.?, 3432.8.0.?, 58344.16.0.? |
$[]$ |
247962.bb1 |
247962bb2 |
247962.bb |
247962bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{2} \cdot 13^{2} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11943936$ |
$2.497074$ |
$5538928862777598289/141343488$ |
$1.01026$ |
$4.84321$ |
$[1, 0, 0, -10652835, -13383654399]$ |
\(y^2+xy=x^3-10652835x-13383654399\) |
2.3.0.a.1, 12.6.0.a.1, 572.6.0.?, 1716.12.0.? |
$[]$ |
247962.bb2 |
247962bb1 |
247962.bb |
247962bb |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{6} \cdot 11 \cdot 13 \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1716$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5971968$ |
$2.150501$ |
$-1347365318848849/6831931392$ |
$0.97362$ |
$4.17396$ |
$[1, 0, 0, -664995, -209693439]$ |
\(y^2+xy=x^3-664995x-209693439\) |
2.3.0.a.1, 12.6.0.b.1, 286.6.0.?, 1716.12.0.? |
$[]$ |
247962.bc1 |
247962bc4 |
247962.bc |
247962bc |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 11 \cdot 13 \cdot 17^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 11 \cdot 13^{8} \cdot 17^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.11 |
2B |
$4488$ |
$48$ |
$0$ |
$10.38874604$ |
$1$ |
|
$8$ |
$11796480$ |
$2.604465$ |
$258252149810350513/1938176193096$ |
$1.04004$ |
$4.59640$ |
$[1, 0, 0, -3834169, -2871235471]$ |
\(y^2+xy=x^3-3834169x-2871235471\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.m.1, 136.24.0.?, 264.24.0.?, $\ldots$ |
$[(-1132, 4901), (2336, 29177)]$ |