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 |
298116.a1 |
298116a1 |
298116.a |
298116a |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.567084942$ |
$1$ |
|
$16$ |
$259200$ |
$0.603012$ |
$-1490944/27$ |
$0.88902$ |
$2.58874$ |
$[0, 0, 0, -1092, 14105]$ |
\(y^2=x^3-1092x+14105\) |
6.2.0.a.1 |
$[(16, 27), (22, 27)]$ |
298116.b1 |
298116b2 |
298116.b |
298116b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.33 |
2B |
$312$ |
$48$ |
$1$ |
$9.433035773$ |
$1$ |
|
$1$ |
$55738368$ |
$3.298622$ |
$315978926832/169$ |
$1.06481$ |
$5.47207$ |
$[0, 0, 0, -201451887, -1100537695530]$ |
\(y^2=x^3-201451887x-1100537695530\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.u.1, 12.12.0.m.1, 24.24.0.dc.1, $\ldots$ |
$[(129649/2, 41120911/2)]$ |
298116.b2 |
298116b1 |
298116.b |
298116b |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.5 |
2B |
$312$ |
$48$ |
$1$ |
$4.716517886$ |
$1$ |
|
$3$ |
$27869184$ |
$2.952049$ |
$-1213857792/28561$ |
$1.24370$ |
$4.81404$ |
$[0, 0, 0, -12520872, -17396186535]$ |
\(y^2=x^3-12520872x-17396186535\) |
2.3.0.a.1, 4.12.0.e.1, 6.6.0.a.1, 12.24.0.k.1, 104.24.0.?, $\ldots$ |
$[(5499, 282906)]$ |
298116.c1 |
298116c1 |
298116.c |
298116c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{14} \cdot 7^{12} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.31 |
2B |
$4368$ |
$96$ |
$3$ |
$44.96382627$ |
$1$ |
|
$1$ |
$690094080$ |
$4.638390$ |
$416013434950254592/771895089$ |
$1.18442$ |
$6.71893$ |
$[0, 0, 0, -37969643712, -2847752227906495]$ |
\(y^2=x^3-37969643712x-2847752227906495\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.v.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$ |
$[(-14252713764396942518012/356060293, 2225472680754381031645780458819/356060293)]$ |
298116.c2 |
298116c2 |
298116.c |
298116c |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 7^{18} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.29 |
2B |
$4368$ |
$96$ |
$3$ |
$89.92765254$ |
$1$ |
|
$1$ |
$1380188160$ |
$4.984962$ |
$-25203028990703632/1121144263281$ |
$1.02481$ |
$6.72234$ |
$[0, 0, 0, -37577248527, -2909491293919210]$ |
\(y^2=x^3-37577248527x-2909491293919210\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.s.1, 48.24.0.l.1, 52.12.0.l.1, $\ldots$ |
$[(8128697430122357365551844822778894654659/63418966611048707, 729369022573061641714013681117578153681977953962699538722014/63418966611048707)]$ |
298116.d1 |
298116d2 |
298116.d |
298116d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{7} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8847360$ |
$2.480751$ |
$20720464/63$ |
$0.91015$ |
$4.44646$ |
$[0, 0, 0, -2707887, -1710606170]$ |
\(y^2=x^3-2707887x-1710606170\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[ ]$ |
298116.d2 |
298116d1 |
298116.d |
298116d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.134174$ |
$-16384/147$ |
$1.05520$ |
$3.88228$ |
$[0, 0, 0, -99372, -48982115]$ |
\(y^2=x^3-99372x-48982115\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[ ]$ |
298116.e1 |
298116e1 |
298116.e |
298116e |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$21.76237637$ |
$1$ |
|
$0$ |
$23587200$ |
$2.858440$ |
$-1490944/27$ |
$0.88902$ |
$4.73588$ |
$[0, 0, 0, -9042852, -10629118955]$ |
\(y^2=x^3-9042852x-10629118955\) |
6.2.0.a.1 |
$[(63364089867/3637, 11381890513327438/3637)]$ |
298116.f1 |
298116f1 |
298116.f |
298116f |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$84$ |
$12$ |
$0$ |
$1.398948711$ |
$1$ |
|
$4$ |
$2370816$ |
$1.831825$ |
$338688/169$ |
$0.83745$ |
$3.59140$ |
$[0, 0, 0, -74529, -2906631]$ |
\(y^2=x^3-74529x-2906631\) |
2.2.0.a.1, 12.4.0-2.a.1.1, 14.6.0.a.1, 84.12.0.? |
$[(-143, 2197)]$ |
298116.g1 |
298116g1 |
298116.g |
298116g |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 13^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$0.293165511$ |
$1$ |
|
$20$ |
$400896$ |
$0.919688$ |
$302848/9$ |
$0.80535$ |
$2.86681$ |
$[0, 0, 0, -3549, 79261]$ |
\(y^2=x^3-3549x+79261\) |
2.2.0.a.1, 28.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[(65, 351), (-13, 351)]$ |
298116.h1 |
298116h2 |
298116.h |
298116h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 9.12.0.2 |
2Cn, 3B |
$3276$ |
$864$ |
$28$ |
$13.42004133$ |
$1$ |
|
$2$ |
$1244160$ |
$1.626745$ |
$406749952$ |
$0.99897$ |
$3.84519$ |
$[0, 0, 0, -216489, -38770459]$ |
\(y^2=x^3-216489x-38770459\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.1, $\ldots$ |
$[(-4303/4, 169/4), (884, 21463)]$ |
298116.h2 |
298116h1 |
298116.h |
298116h |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{6} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
2.2.0.1, 9.12.0.2 |
2Cn, 3B |
$3276$ |
$864$ |
$28$ |
$1.491115704$ |
$1$ |
|
$10$ |
$414720$ |
$1.077440$ |
$1792$ |
$0.89152$ |
$2.86681$ |
$[0, 0, 0, -3549, -15379]$ |
\(y^2=x^3-3549x-15379\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 9.12.0.b.1, 12.16.0.a.2, $\ldots$ |
$[(-13, 169), (65, 169)]$ |
298116.i1 |
298116i1 |
298116.i |
298116i |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{8} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$312$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28753920$ |
$3.134857$ |
$73008/49$ |
$0.83745$ |
$4.81230$ |
$[0, 0, 0, 12595401, -6877088946]$ |
\(y^2=x^3+12595401x-6877088946\) |
4.2.0.a.1, 312.4.0.? |
$[ ]$ |
298116.j1 |
298116j2 |
298116.j |
298116j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$6552$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$16174080$ |
$2.928188$ |
$-368484688$ |
$1.11303$ |
$5.08176$ |
$[0, 0, 0, -39078039, -94026067954]$ |
\(y^2=x^3-39078039x-94026067954\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.8.0.a.1, 21.8.0-3.a.1.1, $\ldots$ |
$[ ]$ |
298116.j2 |
298116j1 |
298116.j |
298116j |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2, 3$ |
4.2.0.1, 9.12.0.2 |
3B |
$6552$ |
$288$ |
$6$ |
$1$ |
$1$ |
|
$0$ |
$5391360$ |
$2.378883$ |
$-208$ |
$0.71000$ |
$4.11736$ |
$[0, 0, 0, -322959, -215521306]$ |
\(y^2=x^3-322959x-215521306\) |
3.4.0.a.1, 4.2.0.a.1, 9.12.0.b.1, 12.8.0.a.1, 21.8.0-3.a.1.2, $\ldots$ |
$[ ]$ |
298116.k1 |
298116k1 |
298116.k |
298116k |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{20} \cdot 7^{3} \cdot 13^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$234823680$ |
$4.130661$ |
$-9122691795384795136/1775882908917$ |
$1.12080$ |
$6.11031$ |
$[0, 0, 0, -2942887584, 61458457379956]$ |
\(y^2=x^3-2942887584x+61458457379956\) |
182.2.0.? |
$[ ]$ |
298116.l1 |
298116l2 |
298116.l |
298116l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 13^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1092$ |
$96$ |
$2$ |
$11.66219763$ |
$1$ |
|
$0$ |
$13063680$ |
$2.695206$ |
$13707167488/4826809$ |
$0.95626$ |
$4.43298$ |
$[0, 0, 0, -2558829, 985778521]$ |
\(y^2=x^3-2558829x+985778521\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.2, 14.6.0.a.1, $\ldots$ |
$[(103896/205, 269620723931/205)]$ |
298116.l2 |
298116l1 |
298116.l |
298116l |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.2.0.1, 3.4.0.1 |
2Cn, 3B |
$1092$ |
$96$ |
$2$ |
$3.887399212$ |
$1$ |
|
$0$ |
$4354560$ |
$2.145901$ |
$997335808/169$ |
$0.90281$ |
$4.22508$ |
$[0, 0, 0, -1068249, -424906391]$ |
\(y^2=x^3-1068249x-424906391\) |
2.2.0.a.1, 3.4.0.a.1, 6.8.0.a.1, 12.16.0-6.a.1.2, 14.6.0.a.1, $\ldots$ |
$[(-14859/5, 28561/5)]$ |
298116.m1 |
298116m1 |
298116.m |
298116m |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$6.446263613$ |
$1$ |
|
$0$ |
$36481536$ |
$3.175117$ |
$302848/9$ |
$0.80535$ |
$5.01395$ |
$[0, 0, 0, -29389269, -59728791031]$ |
\(y^2=x^3-29389269x-59728791031\) |
2.2.0.a.1, 52.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[(-45815/4, 1969947/4)]$ |
298116.n1 |
298116n1 |
298116.n |
298116n |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12383280$ |
$2.817554$ |
$1168128$ |
$1.09219$ |
$4.81230$ |
$[0, 0, 0, -12595401, 17192722365]$ |
\(y^2=x^3-12595401x+17192722365\) |
2.2.0.a.1, 26.6.0.a.1, 1092.12.0.? |
$[ ]$ |
298116.o1 |
298116o2 |
298116.o |
298116o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{9} \cdot 7^{10} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$10.35788203$ |
$1$ |
|
$1$ |
$18579456$ |
$3.097385$ |
$64314864/31213$ |
$0.83775$ |
$4.79778$ |
$[0, 0, 0, -11850111, 6307389270]$ |
\(y^2=x^3-11850111x+6307389270\) |
2.3.0.a.1, 12.6.0.c.1, 52.6.0.e.1, 156.12.0.? |
$[(24054/7, 8460990/7)]$ |
298116.o2 |
298116o1 |
298116.o |
298116o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$5.178941015$ |
$1$ |
|
$1$ |
$9289728$ |
$2.750813$ |
$11943936/8281$ |
$0.91004$ |
$4.44426$ |
$[0, 0, 0, 2683044, 752817429]$ |
\(y^2=x^3+2683044x+752817429\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(-6461/5, 811538/5)]$ |
298116.p1 |
298116p2 |
298116.p |
298116p |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{15} \cdot 7^{14} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$43.99403104$ |
$1$ |
|
$1$ |
$828112896$ |
$5.022491$ |
$511268777852836624/113468578083$ |
$1.03581$ |
$6.95525$ |
$[0, 0, 0, -102484256511, 12625557174977110]$ |
\(y^2=x^3-102484256511x+12625557174977110\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(1244355692363322665702/84088861, 3773577910962298053216433502754/84088861)]$ |
298116.p2 |
298116p1 |
298116.p |
298116p |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{24} \cdot 7^{10} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$87.98806208$ |
$1$ |
|
$1$ |
$414056448$ |
$4.675919$ |
$2757231177908224/930196594089$ |
$1.08644$ |
$6.32097$ |
$[0, 0, 0, -7132226556, 149716646070901]$ |
\(y^2=x^3-7132226556x+149716646070901\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(-6706333947567679055529511437853185393991/853692275632295276, 9113532974566040587287467449886780462957464911777832079431251/853692275632295276)]$ |
298116.q1 |
298116q1 |
298116.q |
298116q |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{6} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2903040$ |
$2.026863$ |
$442368/13$ |
$1.27279$ |
$3.92133$ |
$[0, 0, 0, -298116, -61039251]$ |
\(y^2=x^3-298116x-61039251\) |
2.3.0.a.1, 4.6.0.b.1, 26.6.0.b.1, 52.24.0.e.1, 168.12.0.?, $\ldots$ |
$[ ]$ |
298116.q2 |
298116q2 |
298116.q |
298116q |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{6} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$5806080$ |
$2.373436$ |
$432/169$ |
$1.09219$ |
$4.10822$ |
$[0, 0, 0, 74529, -203464170]$ |
\(y^2=x^3+74529x-203464170\) |
2.3.0.a.1, 4.6.0.a.1, 52.12.0.d.1, 104.24.0.?, 168.12.0.?, $\ldots$ |
$[ ]$ |
298116.r1 |
298116r1 |
298116.r |
298116r |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 7^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52835328$ |
$3.462715$ |
$-38416/729$ |
$1.05920$ |
$5.14589$ |
$[0, 0, 0, -15824991, 140852969894]$ |
\(y^2=x^3-15824991x+140852969894\) |
52.2.0.a.1 |
$[ ]$ |
298116.s1 |
298116s1 |
298116.s |
298116s |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{12} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$6.256676637$ |
$1$ |
|
$0$ |
$580608$ |
$1.207285$ |
$-38416/729$ |
$1.05920$ |
$2.99875$ |
$[0, 0, 0, -1911, -186914]$ |
\(y^2=x^3-1911x-186914\) |
52.2.0.a.1 |
$[(3614/7, 92898/7)]$ |
298116.t1 |
298116t1 |
298116.t |
298116t |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{11} \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.342085748$ |
$1$ |
|
$2$ |
$3231360$ |
$2.089508$ |
$401408/243$ |
$1.33755$ |
$3.82483$ |
$[0, 0, 0, 198744, 7320404]$ |
\(y^2=x^3+198744x+7320404\) |
6.2.0.a.1 |
$[(-35, 567)]$ |
298116.u1 |
298116u1 |
298116.u |
298116u |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{13} \cdot 7^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1524096$ |
$1.740431$ |
$-851968/2187$ |
$1.12440$ |
$3.51366$ |
$[0, 0, 0, -30576, -4797884]$ |
\(y^2=x^3-30576x-4797884\) |
6.2.0.a.1 |
$[ ]$ |
298116.v1 |
298116v2 |
298116.v |
298116v |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$1.706001$ |
$109744/9$ |
$0.87899$ |
$3.56758$ |
$[0, 0, 0, -67431, -6243874]$ |
\(y^2=x^3-67431x-6243874\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.a.1, 84.12.0.? |
$[ ]$ |
298116.v2 |
298116v1 |
298116.v |
298116v |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{3} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$829440$ |
$1.359426$ |
$16384/3$ |
$1.03704$ |
$3.19675$ |
$[0, 0, 0, -14196, 538265]$ |
\(y^2=x^3-14196x+538265\) |
2.3.0.a.1, 12.6.0.g.1, 28.6.0.b.1, 42.6.0.a.1, 84.12.0.? |
$[ ]$ |
298116.w1 |
298116w2 |
298116.w |
298116w |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{7} \cdot 7^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$22.52234132$ |
$1$ |
|
$1$ |
$17252352$ |
$2.897350$ |
$1882384/3$ |
$1.07544$ |
$4.86662$ |
$[0, 0, 0, -15824991, -24197164810]$ |
\(y^2=x^3-15824991x-24197164810\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(-43384686407/4294, 267776595562293/4294)]$ |
298116.w2 |
298116w1 |
298116.w |
298116w |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$11.26117066$ |
$1$ |
|
$1$ |
$8626176$ |
$2.550774$ |
$16384/9$ |
$1.27279$ |
$4.27031$ |
$[0, 0, 0, -1291836, -127353499]$ |
\(y^2=x^3-1291836x-127353499\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(-168791/38, 257686443/38)]$ |
298116.x1 |
298116x1 |
298116.x |
298116x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{7} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$37158912$ |
$3.155174$ |
$-21064523776/597051$ |
$0.93385$ |
$4.99956$ |
$[0, 0, 0, -27227928, -56008411004]$ |
\(y^2=x^3-27227928x-56008411004\) |
182.2.0.? |
$[ ]$ |
298116.y1 |
298116y1 |
298116.y |
298116y |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{4} \cdot 13^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$7.361316931$ |
$1$ |
|
$0$ |
$26956800$ |
$3.125156$ |
$14540641024/81$ |
$1.01980$ |
$5.25160$ |
$[0, 0, 0, -79770873, 274228470061]$ |
\(y^2=x^3-79770873x+274228470061\) |
2.2.0.a.1, 156.4.0.?, 182.6.0.?, 1092.12.0.? |
$[(129284/5, 179577/5)]$ |
298116.z1 |
298116z1 |
298116.z |
298116z |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{7} \cdot 13^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.681923835$ |
$1$ |
|
$14$ |
$4644864$ |
$2.335133$ |
$-65536/91$ |
$0.78564$ |
$4.08687$ |
$[0, 0, 0, -397488, 177842756]$ |
\(y^2=x^3-397488x+177842756\) |
182.2.0.? |
$[(-364, 16562), (988, 27378)]$ |
298116.ba1 |
298116ba1 |
298116.ba |
298116ba |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{14} \cdot 7^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34504704$ |
$3.430405$ |
$2530736/321489$ |
$0.95836$ |
$5.11397$ |
$[0, 0, 0, 7428057, -115186341634]$ |
\(y^2=x^3+7428057x-115186341634\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[ ]$ |
298116.bb1 |
298116bb1 |
298116.bb |
298116bb |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$84$ |
$12$ |
$0$ |
$4.408664619$ |
$1$ |
|
$4$ |
$1451520$ |
$1.705257$ |
$90770176/169$ |
$0.83351$ |
$3.72620$ |
$[0, 0, 0, -131313, -18285631]$ |
\(y^2=x^3-131313x-18285631\) |
2.2.0.a.1, 14.6.0.a.1, 84.12.0.? |
$[(-208, 169), (-1937/3, 2197/3)]$ |
298116.bc1 |
298116bc1 |
298116.bc |
298116bc |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{2} \cdot 13^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$364$ |
$12$ |
$0$ |
$0.822854519$ |
$1$ |
|
$14$ |
$96768$ |
$0.414244$ |
$23296/9$ |
$0.67779$ |
$2.25637$ |
$[0, 0, 0, -273, 1001]$ |
\(y^2=x^3-273x+1001\) |
2.2.0.a.1, 182.6.0.?, 364.12.0.? |
$[(1, 27), (-17, 27)]$ |
298116.bd1 |
298116bd1 |
298116.bd |
298116bd |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{7} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$3.874774688$ |
$1$ |
|
$2$ |
$14376960$ |
$2.934830$ |
$8192/63$ |
$0.85500$ |
$4.63430$ |
$[0, 0, 0, 2583672, 5603553956]$ |
\(y^2=x^3+2583672x+5603553956\) |
182.2.0.? |
$[(118300, 40692834)]$ |
298116.be1 |
298116be1 |
298116.be |
298116be |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 7^{8} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.2 |
2Cn |
$364$ |
$12$ |
$0$ |
$14.33194210$ |
$1$ |
|
$0$ |
$8805888$ |
$2.669674$ |
$23296/9$ |
$0.67779$ |
$4.40350$ |
$[0, 0, 0, -2260713, -754324571]$ |
\(y^2=x^3-2260713x-754324571\) |
2.2.0.a.1, 4.4.0-2.a.1.1, 182.6.0.?, 364.12.0.? |
$[(-2465167/58, 4401152127/58)]$ |
298116.bf1 |
298116bf1 |
298116.bf |
298116bf |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{12} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$24$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51757056$ |
$3.528126$ |
$-32209663824/117649$ |
$0.95899$ |
$5.43692$ |
$[0, 0, 0, -173428983, 881854405614]$ |
\(y^2=x^3-173428983x+881854405614\) |
4.2.0.a.1, 24.4.0-4.a.1.1 |
$[ ]$ |
298116.bg1 |
298116bg1 |
298116.bg |
298116bg |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.294071$ |
$33554432/19773$ |
$1.33029$ |
$4.02158$ |
$[0, 0, 0, 454272, 15932644]$ |
\(y^2=x^3+454272x+15932644\) |
182.2.0.? |
$[ ]$ |
298116.bh1 |
298116bh1 |
298116.bh |
298116bh |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{10} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14515200$ |
$2.815639$ |
$14540641024/81$ |
$1.01980$ |
$4.95694$ |
$[0, 0, 0, -23128833, -42813092959]$ |
\(y^2=x^3-23128833x-42813092959\) |
2.2.0.a.1, 84.4.0.?, 182.6.0.?, 1092.12.0.? |
$[ ]$ |
298116.bi1 |
298116bi4 |
298116.bi |
298116bi |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{9} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$79.35351819$ |
$1$ |
|
$1$ |
$31850496$ |
$3.219543$ |
$2640279346000/3087$ |
$1.02245$ |
$5.37903$ |
$[0, 0, 0, -136263855, -612235744666]$ |
\(y^2=x^3-136263855x-612235744666\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$ |
$[(132265/2, 44567901/2), (1030705/8, 599336361/8)]$ |
298116.bi2 |
298116bi3 |
298116.bi |
298116bi |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{7} \cdot 7^{12} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$19.83837954$ |
$1$ |
|
$7$ |
$15925248$ |
$2.872971$ |
$-10061824000/352947$ |
$1.07286$ |
$4.72187$ |
$[0, 0, 0, -8446620, -9730862323]$ |
\(y^2=x^3-8446620x-9730862323\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$ |
$[(32179, 5747994), (5863, 377208)]$ |
298116.bi3 |
298116bi2 |
298116.bi |
298116bi |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 7^{7} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$8.817057577$ |
$1$ |
|
$11$ |
$10616832$ |
$2.670238$ |
$9826000/5103$ |
$0.97243$ |
$4.38727$ |
$[0, 0, 0, -2111655, -378292642]$ |
\(y^2=x^3-2111655x-378292642\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0.j.1, 28.6.0.a.1, $\ldots$ |
$[(-689, 27378), (-329, 16758)]$ |
298116.bi4 |
298116bi1 |
298116.bi |
298116bi |
$4$ |
$6$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 3^{9} \cdot 7^{8} \cdot 13^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1092$ |
$96$ |
$1$ |
$2.204264394$ |
$1$ |
|
$17$ |
$5308416$ |
$2.323666$ |
$2048000/1323$ |
$1.10843$ |
$4.04291$ |
$[0, 0, 0, 496860, -45967831]$ |
\(y^2=x^3+496860x-45967831\) |
2.3.0.a.1, 3.4.0.a.1, 6.24.0.b.1, 28.6.0.b.1, 84.48.1.?, $\ldots$ |
$[(238, 9261), (130, 4563)]$ |
298116.bj1 |
298116bj1 |
298116.bj |
298116bj |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 3^{10} \cdot 7^{8} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$2184$ |
$48$ |
$1$ |
$3.875227643$ |
$1$ |
|
$3$ |
$1769472$ |
$1.795986$ |
$16384000/3969$ |
$0.98951$ |
$3.59742$ |
$[0, 0, 0, -76440, 6202469]$ |
\(y^2=x^3-76440x+6202469\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bv.1, 26.6.0.b.1, 28.12.0.m.1, $\ldots$ |
$[(1495, 56862)]$ |