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 |
349140.a1 |
349140a2 |
349140.a |
349140a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{5} \cdot 11 \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$16.79147825$ |
$1$ |
|
$1$ |
$197683200$ |
$4.079597$ |
$689876908566571535056/300484635328659375$ |
$1.04300$ |
$5.66794$ |
$[0, -1, 0, -618327116, 2943471885816]$ |
\(y^2=x^3-x^2-618327116x+2943471885816\) |
2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.? |
$[(-10066530/41, 174786230994/41)]$ |
349140.a2 |
349140a1 |
349140.a |
349140a |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{10} \cdot 11^{2} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$8.395739129$ |
$1$ |
|
$3$ |
$98841600$ |
$3.733028$ |
$6849676135853988560896/3493616220703125$ |
$1.01320$ |
$5.63055$ |
$[0, -1, 0, -527405241, 4660040517066]$ |
\(y^2=x^3-x^2-527405241x+4660040517066\) |
2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.? |
$[(-5005, 2678489)]$ |
349140.b1 |
349140b1 |
349140.b |
349140b |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$4.334565656$ |
$1$ |
|
$2$ |
$26231040$ |
$2.976246$ |
$1067222238976/4640625$ |
$0.90553$ |
$4.84389$ |
$[0, -1, 0, -18562786, -30661079735]$ |
\(y^2=x^3-x^2-18562786x-30661079735\) |
66.2.0.a.1 |
$[(-2382, 5875)]$ |
349140.c1 |
349140c2 |
349140.c |
349140c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5060$ |
$12$ |
$0$ |
$4.257176480$ |
$1$ |
|
$3$ |
$2838528$ |
$1.998117$ |
$84433792336/1127115$ |
$0.81174$ |
$3.87969$ |
$[0, -1, 0, -306996, -64608984]$ |
\(y^2=x^3-x^2-306996x-64608984\) |
2.3.0.a.1, 44.6.0.c.1, 460.6.0.?, 5060.12.0.? |
$[(-335, 726)]$ |
349140.c2 |
349140c1 |
349140.c |
349140c |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5060$ |
$12$ |
$0$ |
$2.128588240$ |
$1$ |
|
$3$ |
$1419264$ |
$1.651545$ |
$-1048576/1309275$ |
$0.98616$ |
$3.37890$ |
$[0, -1, 0, -2821, -2678954]$ |
\(y^2=x^3-x^2-2821x-2678954\) |
2.3.0.a.1, 22.6.0.a.1, 460.6.0.?, 5060.12.0.? |
$[(238, 3174)]$ |
349140.d1 |
349140d1 |
349140.d |
349140d |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{9} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$3.242681295$ |
$1$ |
|
$2$ |
$34815744$ |
$3.210617$ |
$1484227356492544/176846076825$ |
$0.93377$ |
$4.91962$ |
$[0, -1, 0, -25619646, 44486789721]$ |
\(y^2=x^3-x^2-25619646x+44486789721\) |
66.2.0.a.1 |
$[(-1234, 272435)]$ |
349140.e1 |
349140e2 |
349140.e |
349140e |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{18} \cdot 5 \cdot 11^{2} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3317760$ |
$2.117126$ |
$405061771762352/234389395845$ |
$1.08542$ |
$3.80677$ |
$[0, -1, 0, -225116, 467400]$ |
\(y^2=x^3-x^2-225116x+467400\) |
2.3.0.a.1, 60.6.0.e.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
349140.e2 |
349140e1 |
349140.e |
349140e |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \cdot 23^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1658880$ |
$1.770555$ |
$2137753735135232/7204470075$ |
$1.08528$ |
$3.71987$ |
$[0, -1, 0, -155541, 23594130]$ |
\(y^2=x^3-x^2-155541x+23594130\) |
2.3.0.a.1, 60.6.0.e.1, 138.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
349140.f1 |
349140f2 |
349140.f |
349140f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4257792$ |
$2.134300$ |
$54108072016/21210255$ |
$0.82321$ |
$3.84483$ |
$[0, -1, 0, -264676, 29857720]$ |
\(y^2=x^3-x^2-264676x+29857720\) |
2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.? |
$[]$ |
349140.f2 |
349140f1 |
349140.f |
349140f |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2128896$ |
$1.787725$ |
$79082438656/1878525$ |
$0.95393$ |
$3.65733$ |
$[0, -1, 0, -119201, -15472290]$ |
\(y^2=x^3-x^2-119201x-15472290\) |
2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.? |
$[]$ |
349140.g1 |
349140g1 |
349140.g |
349140g |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$0.785630668$ |
$1$ |
|
$4$ |
$152064$ |
$0.479136$ |
$876587776/185625$ |
$0.78650$ |
$2.32191$ |
$[0, -1, 0, -406, -2375]$ |
\(y^2=x^3-x^2-406x-2375\) |
66.2.0.a.1 |
$[(-12, 25)]$ |
349140.h1 |
349140h1 |
349140.h |
349140h |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{5} \cdot 11 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7590$ |
$2$ |
$0$ |
$49.23559359$ |
$1$ |
|
$0$ |
$34214400$ |
$3.226631$ |
$-33977727162474496/8232230221875$ |
$0.95828$ |
$4.91822$ |
$[0, -1, 0, -22665181, -49460732519]$ |
\(y^2=x^3-x^2-22665181x-49460732519\) |
7590.2.0.? |
$[(537446488525371833557368/4011257719, 389713198891821804768383268340196231/4011257719)]$ |
349140.i1 |
349140i1 |
349140.i |
349140i |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{5} \cdot 11^{2} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52992000$ |
$3.295345$ |
$1438646272/2480878125$ |
$1.14471$ |
$4.92437$ |
$[0, -1, 0, 1816939, 51449136465]$ |
\(y^2=x^3-x^2+1816939x+51449136465\) |
230.2.0.? |
$[]$ |
349140.j1 |
349140j1 |
349140.j |
349140j |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$501120$ |
$1.065271$ |
$-1300012501456/928125$ |
$0.87157$ |
$3.11134$ |
$[0, -1, 0, -11676, -482040]$ |
\(y^2=x^3-x^2-11676x-482040\) |
660.2.0.? |
$[]$ |
349140.k1 |
349140k1 |
349140.k |
349140k |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 11 \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$149760$ |
$0.507650$ |
$8495777536/66825$ |
$0.81296$ |
$2.49987$ |
$[0, -1, 0, -866, -9459]$ |
\(y^2=x^3-x^2-866x-9459\) |
66.2.0.a.1 |
$[]$ |
349140.l1 |
349140l2 |
349140.l |
349140l |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{4} \cdot 11^{2} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$16220160$ |
$2.809731$ |
$226226123547856/63488926875$ |
$0.89490$ |
$4.49813$ |
$[0, -1, 0, -4263916, 2433540616]$ |
\(y^2=x^3-x^2-4263916x+2433540616\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
349140.l2 |
349140l1 |
349140.l |
349140l |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{8} \cdot 11 \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$8110080$ |
$2.463158$ |
$15705460834304/20457421875$ |
$0.95336$ |
$4.08944$ |
$[0, -1, 0, 695459, 249431866]$ |
\(y^2=x^3-x^2+695459x+249431866\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
349140.m1 |
349140m1 |
349140.m |
349140m |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7590$ |
$2$ |
$0$ |
$0.820570286$ |
$1$ |
|
$2$ |
$5322240$ |
$2.179718$ |
$-42415857664/37194795$ |
$0.85951$ |
$3.89802$ |
$[0, -1, 0, -244045, 73676377]$ |
\(y^2=x^3-x^2-244045x+73676377\) |
7590.2.0.? |
$[(192, 5819)]$ |
349140.n1 |
349140n1 |
349140.n |
349140n |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{5} \cdot 11 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$660$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$11525760$ |
$2.633018$ |
$-1300012501456/928125$ |
$0.87157$ |
$4.58534$ |
$[0, -1, 0, -6176780, 5914394472]$ |
\(y^2=x^3-x^2-6176780x+5914394472\) |
660.2.0.? |
$[]$ |
349140.o1 |
349140o1 |
349140.o |
349140o |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 11 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3444480$ |
$2.075397$ |
$8495777536/66825$ |
$0.81296$ |
$3.97387$ |
$[0, -1, 0, -458290, 118753525]$ |
\(y^2=x^3-x^2-458290x+118753525\) |
66.2.0.a.1 |
$[]$ |
349140.p1 |
349140p2 |
349140.p |
349140p |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$2.563854288$ |
$1$ |
|
$3$ |
$2230272$ |
$1.862616$ |
$13674725584/261855$ |
$0.78930$ |
$3.73706$ |
$[0, -1, 0, -167340, 25964280]$ |
\(y^2=x^3-x^2-167340x+25964280\) |
2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.? |
$[(537, 9522)]$ |
349140.p2 |
349140p1 |
349140.p |
349140p |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$1.281927144$ |
$1$ |
|
$3$ |
$1115136$ |
$1.516043$ |
$488095744/208725$ |
$0.80768$ |
$3.25870$ |
$[0, -1, 0, -21865, -628550]$ |
\(y^2=x^3-x^2-21865x-628550\) |
2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.? |
$[(330, 5290)]$ |
349140.q1 |
349140q1 |
349140.q |
349140q |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{5} \cdot 11^{2} \cdot 23^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$0.514613611$ |
$1$ |
|
$22$ |
$2304000$ |
$1.727598$ |
$1438646272/2480878125$ |
$1.14471$ |
$3.45037$ |
$[0, -1, 0, 3435, -4229775]$ |
\(y^2=x^3-x^2+3435x-4229775\) |
230.2.0.? |
$[(435, 8910), (215, 2530)]$ |
349140.r1 |
349140r2 |
349140.r |
349140r |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3 \cdot 5 \cdot 11^{2} \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$13.57535642$ |
$1$ |
|
$7$ |
$1081344$ |
$1.475918$ |
$192143824/1815$ |
$0.84134$ |
$3.40289$ |
$[0, -1, 0, -40380, -3084168]$ |
\(y^2=x^3-x^2-40380x-3084168\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[(422, 7406), (9373/6, 431135/6)]$ |
349140.r2 |
349140r1 |
349140.r |
349140r |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11 \cdot 23^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$3.393839107$ |
$1$ |
|
$15$ |
$540672$ |
$1.129345$ |
$-16384/2475$ |
$0.97867$ |
$2.88783$ |
$[0, -1, 0, -705, -116478]$ |
\(y^2=x^3-x^2-705x-116478\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[(77, 529), (837/2, 23805/2)]$ |
349140.s1 |
349140s2 |
349140.s |
349140s |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{5} \cdot 5 \cdot 11^{6} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$97320960$ |
$3.801018$ |
$17394307399558330233424/1138644259335$ |
$0.98252$ |
$5.92080$ |
$[0, -1, 0, -1813134980, -29715597089640]$ |
\(y^2=x^3-x^2-1813134980x-29715597089640\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[]$ |
349140.s2 |
349140s1 |
349140.s |
349140s |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 11^{3} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$48660480$ |
$3.454441$ |
$-67551493811790659584/549847120979475$ |
$0.99610$ |
$5.26974$ |
$[0, -1, 0, -113100905, -466170822450]$ |
\(y^2=x^3-x^2-113100905x-466170822450\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[]$ |
349140.t1 |
349140t1 |
349140.t |
349140t |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 11 \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$0.527814266$ |
$1$ |
|
$4$ |
$3497472$ |
$2.046883$ |
$876587776/185625$ |
$0.78650$ |
$3.79591$ |
$[0, -1, 0, -214950, 30615777]$ |
\(y^2=x^3-x^2-214950x+30615777\) |
66.2.0.a.1 |
$[(-176, 7935)]$ |
349140.u1 |
349140u2 |
349140.u |
349140u |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{18} \cdot 5 \cdot 11^{2} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$76308480$ |
$3.684875$ |
$405061771762352/234389395845$ |
$1.08542$ |
$5.28077$ |
$[0, -1, 0, -119086540, -4734163928]$ |
\(y^2=x^3-x^2-119086540x-4734163928\) |
2.3.0.a.1, 60.6.0.e.1, 276.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
349140.u2 |
349140u1 |
349140.u |
349140u |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 11^{4} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1$ |
$25$ |
$5$ |
$1$ |
$38154240$ |
$3.338303$ |
$2137753735135232/7204470075$ |
$1.08528$ |
$5.19387$ |
$[0, -1, 0, -82281365, -286411529238]$ |
\(y^2=x^3-x^2-82281365x-286411529238\) |
2.3.0.a.1, 60.6.0.e.1, 138.6.0.?, 460.6.0.?, 1380.12.0.? |
$[]$ |
349140.v1 |
349140v2 |
349140.v |
349140v |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5 \cdot 11^{6} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5060$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12165120$ |
$2.581089$ |
$56511149663824/1833565635$ |
$0.87599$ |
$4.38945$ |
$[0, -1, 0, -2685380, 1646507112]$ |
\(y^2=x^3-x^2-2685380x+1646507112\) |
2.3.0.a.1, 44.6.0.c.1, 460.6.0.?, 5060.12.0.? |
$[]$ |
349140.v2 |
349140v1 |
349140.v |
349140v |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{2} \cdot 11^{3} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5060$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6082560$ |
$2.234516$ |
$6639190016/1425800475$ |
$0.98556$ |
$3.92656$ |
$[0, -1, 0, 52195, 88279422]$ |
\(y^2=x^3-x^2+52195x+88279422\) |
2.3.0.a.1, 22.6.0.a.1, 460.6.0.?, 5060.12.0.? |
$[]$ |
349140.w1 |
349140w2 |
349140.w |
349140w |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5060$ |
$12$ |
$0$ |
$14.63703260$ |
$1$ |
|
$1$ |
$12165120$ |
$2.724438$ |
$1468620483680464/2282407875$ |
$0.89994$ |
$4.64469$ |
$[0, -1, 0, -7954220, -8620392600]$ |
\(y^2=x^3-x^2-7954220x-8620392600\) |
2.3.0.a.1, 44.6.0.c.1, 460.6.0.?, 5060.12.0.? |
$[(-51371055/179, 16857753990/179)]$ |
349140.w2 |
349140w1 |
349140.w |
349140w |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{4} \cdot 5^{6} \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5060$ |
$12$ |
$0$ |
$7.318516301$ |
$1$ |
|
$1$ |
$6082560$ |
$2.377861$ |
$-1999240167424/7364671875$ |
$1.02799$ |
$4.06685$ |
$[0, -1, 0, -349845, -216037350]$ |
\(y^2=x^3-x^2-349845x-216037350\) |
2.3.0.a.1, 22.6.0.a.1, 460.6.0.?, 5060.12.0.? |
$[(869010/7, 809608050/7)]$ |
349140.x1 |
349140x1 |
349140.x |
349140x |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{6} \cdot 11 \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$0.260246652$ |
$1$ |
|
$6$ |
$1140480$ |
$1.408497$ |
$1067222238976/4640625$ |
$0.90553$ |
$3.36989$ |
$[0, -1, 0, -35090, 2532225]$ |
\(y^2=x^3-x^2-35090x+2532225\) |
66.2.0.a.1 |
$[(100, 115)]$ |
349140.y1 |
349140y2 |
349140.y |
349140y |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3 \cdot 5^{2} \cdot 11^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$3.830098897$ |
$1$ |
|
$3$ |
$2162688$ |
$1.761415$ |
$26894628304/9075$ |
$0.90390$ |
$3.79005$ |
$[0, -1, 0, -209660, 37009800]$ |
\(y^2=x^3-x^2-209660x+37009800\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[(217, 1298)]$ |
349140.y2 |
349140y1 |
349140.y |
349140y |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 11 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1.915049448$ |
$1$ |
|
$3$ |
$1081344$ |
$1.414843$ |
$-67108864/61875$ |
$1.12182$ |
$3.17790$ |
$[0, -1, 0, -11285, 746850]$ |
\(y^2=x^3-x^2-11285x+746850\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[(-38, 1058)]$ |
349140.z1 |
349140z1 |
349140.z |
349140z |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 11^{9} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$0.566571477$ |
$1$ |
|
$2$ |
$1513728$ |
$1.642868$ |
$1484227356492544/176846076825$ |
$0.93377$ |
$3.44562$ |
$[0, -1, 0, -48430, -3639503]$ |
\(y^2=x^3-x^2-48430x-3639503\) |
66.2.0.a.1 |
$[(-141, 605)]$ |
349140.ba1 |
349140ba2 |
349140.ba |
349140ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 5 \cdot 11^{10} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$145981440$ |
$3.689663$ |
$15132442465277431504/1852321177880415$ |
$0.95573$ |
$5.36867$ |
$[0, -1, 0, -173086860, 778344493752]$ |
\(y^2=x^3-x^2-173086860x+778344493752\) |
2.3.0.a.1, 44.6.0.c.1, 60.6.0.a.1, 660.12.0.? |
$[]$ |
349140.ba2 |
349140ba1 |
349140.ba |
349140ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 11^{5} \cdot 23^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$660$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$72990720$ |
$3.343090$ |
$184368774577012736/821376563438475$ |
$0.99832$ |
$4.95510$ |
$[0, -1, 0, 15805815, 62592369642]$ |
\(y^2=x^3-x^2+15805815x+62592369642\) |
2.3.0.a.1, 22.6.0.a.1, 60.6.0.b.1, 660.12.0.? |
$[]$ |
349140.bb1 |
349140bb1 |
349140.bb |
349140bb |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 5^{2} \cdot 11^{2} \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$0.588919564$ |
$1$ |
|
$25$ |
$414720$ |
$0.836830$ |
$1701036032/735075$ |
$0.89608$ |
$2.61952$ |
$[0, 1, 0, -1441, -11080]$ |
\(y^2=x^3+x^2-1441x-11080\) |
2.3.0.a.1, 138.6.0.?, 660.6.0.?, 5060.6.0.?, 15180.12.0.? |
$[(-19, 99), (-31, 69)]$ |
349140.bb2 |
349140bb2 |
349140.bb |
349140bb |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 23^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$2.355678258$ |
$1$ |
|
$15$ |
$829440$ |
$1.183403$ |
$4135597648/3247695$ |
$0.93480$ |
$2.90636$ |
$[0, 1, 0, 4884, -76860]$ |
\(y^2=x^3+x^2+4884x-76860\) |
2.3.0.a.1, 276.6.0.?, 660.6.0.?, 5060.6.0.?, 15180.12.0.? |
$[(84, 966), (24, 234)]$ |
349140.bc1 |
349140bc1 |
349140.bc |
349140bc |
$1$ |
$1$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 11 \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$66$ |
$2$ |
$0$ |
$0.200656659$ |
$1$ |
|
$24$ |
$741888$ |
$1.109558$ |
$4034416384/601425$ |
$0.84716$ |
$2.93285$ |
$[0, 1, 0, -5466, -135855]$ |
\(y^2=x^3+x^2-5466x-135855\) |
66.2.0.a.1 |
$[(222, 3105), (-54, 69)]$ |
349140.bd1 |
349140bd4 |
349140.bd |
349140bd |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5 \cdot 11^{6} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15180$ |
$96$ |
$1$ |
$2.011236271$ |
$1$ |
|
$3$ |
$76640256$ |
$3.455723$ |
$14216954944919509456/8729605988235$ |
$0.95283$ |
$5.36378$ |
$[0, 1, 0, -169523516, 849050680500]$ |
\(y^2=x^3+x^2-169523516x+849050680500\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 44.6.0.c.1, 60.24.0-6.a.1.3, $\ldots$ |
$[(8479, 146004)]$ |
349140.bd2 |
349140bd3 |
349140.bd |
349140bd |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 11^{3} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15180$ |
$96$ |
$1$ |
$4.022472543$ |
$1$ |
|
$3$ |
$38320128$ |
$3.109150$ |
$-29853392180740096/44333047858275$ |
$0.99636$ |
$4.76307$ |
$[0, 1, 0, -8614941, 18376252920]$ |
\(y^2=x^3+x^2-8614941x+18376252920\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 60.24.0-6.a.1.8, $\ldots$ |
$[(3672, 190440)]$ |
349140.bd3 |
349140bd2 |
349140.bd |
349140bd |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{3} \cdot 11^{2} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15180$ |
$96$ |
$1$ |
$0.670412090$ |
$1$ |
|
$11$ |
$25546752$ |
$2.906418$ |
$876635730354256/184875037875$ |
$0.90204$ |
$4.60426$ |
$[0, 1, 0, -6697316, -5320672380]$ |
\(y^2=x^3+x^2-6697316x-5320672380\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 44.6.0.c.1, 60.24.0-6.a.1.1, $\ldots$ |
$[(-1664, 34914)]$ |
349140.bd4 |
349140bd1 |
349140.bd |
349140bd |
$4$ |
$6$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 11 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$15180$ |
$96$ |
$1$ |
$1.340824181$ |
$1$ |
|
$7$ |
$12773376$ |
$2.559845$ |
$34845190651904/66282046875$ |
$0.96205$ |
$4.19915$ |
$[0, 1, 0, 907059, -502540380]$ |
\(y^2=x^3+x^2+907059x-502540380\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 22.6.0.a.1, 60.24.0-6.a.1.12, $\ldots$ |
$[(981, 36501)]$ |
349140.be1 |
349140be2 |
349140.be |
349140be |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{8} \cdot 3^{22} \cdot 5 \cdot 11^{5} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$2.583040605$ |
$1$ |
|
$3$ |
$412600320$ |
$4.420235$ |
$78033177843832053218896/13367700477230561055$ |
$0.99135$ |
$6.03841$ |
$[0, 1, 0, -2990341956, 52808196757140]$ |
\(y^2=x^3+x^2-2990341956x+52808196757140\) |
2.3.0.a.1, 220.6.0.?, 276.6.0.?, 15180.12.0.? |
$[(1852251, 2519778294)]$ |
349140.be2 |
349140be1 |
349140.be |
349140be |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{2} \cdot 11^{10} \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$15180$ |
$12$ |
$0$ |
$1.291520302$ |
$1$ |
|
$5$ |
$206300160$ |
$4.073662$ |
$29744196765412662132736/2641973749581174525$ |
$1.01990$ |
$5.74561$ |
$[0, 1, 0, -860442481, -8938440982900]$ |
\(y^2=x^3+x^2-860442481x-8938440982900\) |
2.3.0.a.1, 138.6.0.?, 220.6.0.?, 15180.12.0.? |
$[(34952, 1920270)]$ |
349140.bf1 |
349140bf1 |
349140.bf |
349140bf |
$2$ |
$3$ |
\( 2^{2} \cdot 3 \cdot 5 \cdot 11 \cdot 23^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 23^{8} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$17646336$ |
$2.786678$ |
$-80766603034624/81675$ |
$0.96753$ |
$4.90877$ |
$[0, 1, 0, -24463781, 46564808775]$ |
\(y^2=x^3+x^2-24463781x+46564808775\) |
3.8.0-3.a.1.2, 6.16.0-6.b.1.2 |
$[]$ |