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 |
172480.a1 |
172480eb1 |
172480.a |
172480eb |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 5^{6} \cdot 7^{2} \cdot 11 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1.198294755$ |
$1$ |
|
$14$ |
$340992$ |
$0.888078$ |
$343195272/171875$ |
$0.87360$ |
$2.81496$ |
$[0, 0, 0, -1708, -9968]$ |
\(y^2=x^3-1708x-9968\) |
88.2.0.? |
$[(106, 1000), (-19, 125)]$ |
172480.b1 |
172480c1 |
172480.b |
172480c |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{20} \cdot 5^{5} \cdot 7^{4} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1751040$ |
$1.590857$ |
$-5729578281/1512500$ |
$0.93244$ |
$3.57479$ |
$[0, 0, 0, -31948, -2652272]$ |
\(y^2=x^3-31948x-2652272\) |
20.2.0.a.1 |
$[ ]$ |
172480.c1 |
172480ec1 |
172480.c |
172480ec |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{19} \cdot 5^{4} \cdot 7^{4} \cdot 11^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.683004138$ |
$1$ |
|
$18$ |
$3133440$ |
$1.971437$ |
$351716516361/201313750$ |
$1.06103$ |
$3.88508$ |
$[0, 0, 0, -126028, -1800848]$ |
\(y^2=x^3-126028x-1800848\) |
88.2.0.? |
$[(526, 8800), (-178, 3872)]$ |
172480.d1 |
172480a1 |
172480.d |
172480a |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{17} \cdot 5^{3} \cdot 7^{6} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$440$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$870912$ |
$1.302088$ |
$-16241202/1375$ |
$0.86555$ |
$3.33376$ |
$[0, 0, 0, -13132, -620144]$ |
\(y^2=x^3-13132x-620144\) |
440.2.0.? |
$[ ]$ |
172480.e1 |
172480b1 |
172480.e |
172480b |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{19} \cdot 5^{4} \cdot 7^{10} \cdot 11^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$21934080$ |
$2.944393$ |
$351716516361/201313750$ |
$1.06103$ |
$4.85335$ |
$[0, 0, 0, -6175372, -617690864]$ |
\(y^2=x^3-6175372x-617690864\) |
88.2.0.? |
$[ ]$ |
172480.f1 |
172480dz1 |
172480.f |
172480dz |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{20} \cdot 5^{5} \cdot 7^{10} \cdot 11^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12257280$ |
$2.563812$ |
$-5729578281/1512500$ |
$0.93244$ |
$4.54307$ |
$[0, 0, 0, -1565452, -909729296]$ |
\(y^2=x^3-1565452x-909729296\) |
20.2.0.a.1 |
$[ ]$ |
172480.g1 |
172480ea1 |
172480.g |
172480ea |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 5^{6} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$88$ |
$2$ |
$0$ |
$0.211317748$ |
$1$ |
|
$8$ |
$2386944$ |
$1.861032$ |
$343195272/171875$ |
$0.87360$ |
$3.78323$ |
$[0, 0, 0, -83692, -3419024]$ |
\(y^2=x^3-83692x-3419024\) |
88.2.0.? |
$[(-98, 1960)]$ |
172480.h1 |
172480n2 |
172480.h |
172480n |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{19} \cdot 5^{4} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$13.03468379$ |
$1$ |
|
$1$ |
$9633792$ |
$2.812244$ |
$237487154804983/151250$ |
$0.96347$ |
$5.23228$ |
$[0, 1, 0, -28321281, -58021358081]$ |
\(y^2=x^3+x^2-28321281x-58021358081\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(3470969/19, 5126477000/19)]$ |
172480.h2 |
172480n1 |
172480.h |
172480n |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{20} \cdot 5^{2} \cdot 7^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$6.517341897$ |
$1$ |
|
$3$ |
$4816896$ |
$2.465672$ |
$-56933326423/1464100$ |
$0.90439$ |
$4.54456$ |
$[0, 1, 0, -1759361, -918542465]$ |
\(y^2=x^3+x^2-1759361x-918542465\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(2257, 81320)]$ |
172480.i1 |
172480es1 |
172480.i |
172480es |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5 \cdot 7^{2} \cdot 11^{13} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3913728$ |
$2.321960$ |
$229651351304189696/172613560719655$ |
$1.00559$ |
$4.21284$ |
$[0, 1, 0, 470559, 68073319]$ |
\(y^2=x^3+x^2+470559x+68073319\) |
110.2.0.? |
$[ ]$ |
172480.j1 |
172480et2 |
172480.j |
172480et |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{12} \cdot 5^{3} \cdot 7^{6} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$552960$ |
$1.559437$ |
$3484156096/1830125$ |
$0.94957$ |
$3.48023$ |
$[0, 1, 0, -24761, -463961]$ |
\(y^2=x^3+x^2-24761x-463961\) |
2.3.0.a.1, 4.6.0.b.1, 10.6.0.a.1, 20.12.0.e.1, 40.24.0.br.1, $\ldots$ |
$[ ]$ |
172480.j2 |
172480et1 |
172480.j |
172480et |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7^{6} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3080$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$276480$ |
$1.212864$ |
$2961169856/1890625$ |
$0.95017$ |
$3.12183$ |
$[0, 1, 0, 5864, -53586]$ |
\(y^2=x^3+x^2+5864x-53586\) |
2.3.0.a.1, 4.6.0.a.1, 20.12.0.d.1, 40.24.0.t.1, 308.12.0.?, $\ldots$ |
$[ ]$ |
172480.k1 |
172480eu2 |
172480.k |
172480eu |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.037403362$ |
$1$ |
|
$25$ |
$393216$ |
$1.360126$ |
$38614472/21175$ |
$0.93099$ |
$3.27929$ |
$[0, 1, 0, -11041, 98559]$ |
\(y^2=x^3+x^2-11041x+98559\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(-5, 392), (107, 392)]$ |
172480.k2 |
172480eu1 |
172480.k |
172480eu |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5 \cdot 7^{8} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$4.149613450$ |
$1$ |
|
$11$ |
$196608$ |
$1.013554$ |
$4410944/2695$ |
$0.75172$ |
$2.92691$ |
$[0, 1, 0, 2679, 13495]$ |
\(y^2=x^3+x^2+2679x+13495\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(9, 196), (-1, 104)]$ |
172480.l1 |
172480o1 |
172480.l |
172480o |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5^{11} \cdot 7^{10} \cdot 11^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$35.93204038$ |
$1$ |
|
$0$ |
$23063040$ |
$3.428455$ |
$-129084391106508544/7863818359375$ |
$0.99824$ |
$5.46440$ |
$[0, 1, 0, -69632201, 235101047215]$ |
\(y^2=x^3+x^2-69632201x+235101047215\) |
110.2.0.? |
$[(3905420998086346/439663, 226067022419195764225663/439663)]$ |
172480.m1 |
172480ev2 |
172480.m |
172480ev |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{16} \cdot 5^{4} \cdot 7^{8} \cdot 11 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$5.188608199$ |
$1$ |
|
$11$ |
$786432$ |
$1.647627$ |
$592143556/336875$ |
$1.03098$ |
$3.56319$ |
$[0, 1, 0, -34561, 310239]$ |
\(y^2=x^3+x^2-34561x+310239\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(205, 1372), (-19, 980)]$ |
172480.m2 |
172480ev1 |
172480.m |
172480ev |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{14} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.297152049$ |
$1$ |
|
$19$ |
$393216$ |
$1.301054$ |
$35969456/21175$ |
$0.81787$ |
$3.21592$ |
$[0, 1, 0, 8559, 42895]$ |
\(y^2=x^3+x^2+8559x+42895\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(51, 784), (2, 245)]$ |
172480.n1 |
172480ew1 |
172480.n |
172480ew |
$1$ |
$1$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5 \cdot 7^{10} \cdot 11 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$110$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$1.218100$ |
$-12544/55$ |
$0.64817$ |
$3.14948$ |
$[0, 1, 0, -3201, -205241]$ |
\(y^2=x^3+x^2-3201x-205241\) |
110.2.0.? |
$[ ]$ |
172480.o1 |
172480p2 |
172480.o |
172480p |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{19} \cdot 5^{2} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.591297563$ |
$1$ |
|
$7$ |
$1179648$ |
$1.821661$ |
$43949604889/42350$ |
$0.87006$ |
$4.03535$ |
$[0, 1, 0, -230561, -42652961]$ |
\(y^2=x^3+x^2-230561x-42652961\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(-281, 160)]$ |
172480.o2 |
172480p1 |
172480.o |
172480p |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{20} \cdot 5 \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$3.182595126$ |
$1$ |
|
$5$ |
$589824$ |
$1.475088$ |
$-4826809/10780$ |
$0.90292$ |
$3.41040$ |
$[0, 1, 0, -11041, -988065]$ |
\(y^2=x^3+x^2-11041x-988065\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(199, 2176)]$ |
172480.p1 |
172480ex2 |
172480.p |
172480ex |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 5^{8} \cdot 7^{9} \cdot 11^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$5.829951776$ |
$1$ |
|
$15$ |
$4128768$ |
$2.518707$ |
$273865201784/47265625$ |
$0.97561$ |
$4.49877$ |
$[0, 1, 0, -1484961, 582974335]$ |
\(y^2=x^3+x^2-1484961x+582974335\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(-229, 30184), (1082, 15625)]$ |
172480.p2 |
172480ex1 |
172480.p |
172480ex |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{4} \cdot 7^{9} \cdot 11^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$5.829951776$ |
$1$ |
|
$13$ |
$2064384$ |
$2.172134$ |
$3595640768/9150625$ |
$0.98524$ |
$4.06841$ |
$[0, 1, 0, 175159, 52067959]$ |
\(y^2=x^3+x^2+175159x+52067959\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(114, 8575), (255, 10648)]$ |
172480.q1 |
172480ep4 |
172480.q |
172480ep |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{20} \cdot 5^{12} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$4.002092532$ |
$1$ |
|
$5$ |
$31850496$ |
$3.435337$ |
$1969902499564819009/63690429687500$ |
$0.98376$ |
$5.49647$ |
$[0, 1, 0, -81899841, 277169852959]$ |
\(y^2=x^3+x^2-81899841x+277169852959\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.2, 28.6.0.c.1, $\ldots$ |
$[(4146, 94325)]$ |
172480.q2 |
172480ep2 |
172480.q |
172480ep |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{24} \cdot 5^{4} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$12.00627759$ |
$1$ |
|
$1$ |
$10616832$ |
$2.886032$ |
$5057359576472449/51765560000$ |
$0.95486$ |
$5.00179$ |
$[0, 1, 0, -11214401, -14330140385]$ |
\(y^2=x^3+x^2-11214401x-14330140385\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.10, 28.6.0.c.1, $\ldots$ |
$[(1311573/13, 1329372500/13)]$ |
172480.q3 |
172480ep1 |
172480.q |
172480ep |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{30} \cdot 5^{2} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$6.003138798$ |
$1$ |
|
$3$ |
$5308416$ |
$2.539459$ |
$-19443408769/4249907200$ |
$0.97281$ |
$4.46007$ |
$[0, 1, 0, -175681, -551610081]$ |
\(y^2=x^3+x^2-175681x-551610081\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.5, $\ldots$ |
$[(1229, 33020)]$ |
172480.q4 |
172480ep3 |
172480.q |
172480ep |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{22} \cdot 5^{6} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1848$ |
$96$ |
$1$ |
$2.001046266$ |
$1$ |
|
$5$ |
$15925248$ |
$3.088764$ |
$14156681599871/3100231750000$ |
$1.00754$ |
$5.00634$ |
$[0, 1, 0, 1580479, 14857991455]$ |
\(y^2=x^3+x^2+1580479x+14857991455\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 14.6.0.b.1, 24.24.0-6.a.1.13, $\ldots$ |
$[(-2003, 60500)]$ |
172480.r1 |
172480eq4 |
172480.r |
172480eq |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{27} \cdot 5^{6} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$3.059334441$ |
$1$ |
|
$5$ |
$31850496$ |
$3.410194$ |
$423783056881319689/99207416000000$ |
$0.98254$ |
$5.36904$ |
$[0, 1, 0, -49073761, -102123064065]$ |
\(y^2=x^3+x^2-49073761x-102123064065\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.4, 56.6.0.a.1, $\ldots$ |
$[(-3190, 148225)]$ |
172480.r2 |
172480eq2 |
172480.r |
172480eq |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{21} \cdot 5^{2} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$9.178003323$ |
$1$ |
|
$1$ |
$10616832$ |
$2.860889$ |
$346553430870203929/8300600$ |
$0.97551$ |
$5.35236$ |
$[0, 1, 0, -45890721, -119671558721]$ |
\(y^2=x^3+x^2-45890721x-119671558721\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.10, 56.6.0.a.1, $\ldots$ |
$[(2913989/19, 1299798500/19)]$ |
172480.r3 |
172480eq1 |
172480.r |
172480eq |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{24} \cdot 5 \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$18.35600664$ |
$1$ |
|
$1$ |
$5308416$ |
$2.514317$ |
$-84309998289049/414124480$ |
$0.93048$ |
$4.66296$ |
$[0, 1, 0, -2864801, -1875194945]$ |
\(y^2=x^3+x^2-2864801x-1875194945\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.2, 56.6.0.d.1, $\ldots$ |
$[(14743903339/325, 1790144915442688/325)]$ |
172480.r4 |
172480eq3 |
172480.r |
172480eq |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{36} \cdot 5^{3} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$6.118668882$ |
$1$ |
|
$1$ |
$15925248$ |
$3.063622$ |
$1296134247276791/2137096192000$ |
$0.96746$ |
$4.93986$ |
$[0, 1, 0, 7123359, -9948547841]$ |
\(y^2=x^3+x^2+7123359x-9948547841\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 12.24.0-6.a.1.8, 56.6.0.d.1, $\ldots$ |
$[(35309/2, 6885725/2)]$ |
172480.s1 |
172480er1 |
172480.s |
172480er |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5 \cdot 7^{2} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9240$ |
$16$ |
$0$ |
$5.028515472$ |
$1$ |
|
$2$ |
$41472$ |
$0.041867$ |
$-3937024/55$ |
$0.69786$ |
$2.15898$ |
$[0, 1, 0, -121, -561]$ |
\(y^2=x^3+x^2-121x-561\) |
3.4.0.a.1, 110.2.0.?, 168.8.0.?, 330.8.0.?, 9240.16.0.? |
$[(146, 1765)]$ |
172480.s2 |
172480er2 |
172480.s |
172480er |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5^{3} \cdot 7^{2} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$9240$ |
$16$ |
$0$ |
$1.676171824$ |
$1$ |
|
$2$ |
$124416$ |
$0.591173$ |
$186050816/166375$ |
$0.81768$ |
$2.47676$ |
$[0, 1, 0, 439, -2465]$ |
\(y^2=x^3+x^2+439x-2465\) |
3.4.0.a.1, 110.2.0.?, 168.8.0.?, 330.8.0.?, 9240.16.0.? |
$[(10, 55)]$ |
172480.t1 |
172480m2 |
172480.t |
172480m |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{29} \cdot 5^{8} \cdot 7^{3} \cdot 11^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8650752$ |
$2.762341$ |
$90315183328170247/11712800000000$ |
$0.99647$ |
$4.75670$ |
$[0, 1, 0, -4187521, -2906664321]$ |
\(y^2=x^3+x^2-4187521x-2906664321\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[ ]$ |
172480.t2 |
172480m1 |
172480.t |
172480m |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{40} \cdot 5^{4} \cdot 7^{3} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4325376$ |
$2.415768$ |
$78716413996793/317194240000$ |
$0.98860$ |
$4.32051$ |
$[0, 1, 0, 399999, -237645185]$ |
\(y^2=x^3+x^2+399999x-237645185\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[ ]$ |
172480.u1 |
172480ej2 |
172480.u |
172480ej |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{29} \cdot 5^{8} \cdot 7^{9} \cdot 11^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$3.214734729$ |
$1$ |
|
$3$ |
$60555264$ |
$3.735294$ |
$90315183328170247/11712800000000$ |
$0.99647$ |
$5.72497$ |
$[0, 1, 0, -205188545, -996575485025]$ |
\(y^2=x^3+x^2-205188545x-996575485025\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(25435, 3200000)]$ |
172480.u2 |
172480ej1 |
172480.u |
172480ej |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{40} \cdot 5^{4} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$6.429469458$ |
$1$ |
|
$3$ |
$30277632$ |
$3.388721$ |
$78716413996793/317194240000$ |
$0.98860$ |
$5.28878$ |
$[0, 1, 0, 19599935, -81551498337]$ |
\(y^2=x^3+x^2+19599935x-81551498337\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(20057, 2894920)]$ |
172480.v1 |
172480l1 |
172480.v |
172480l |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5 \cdot 7^{8} \cdot 11 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$13.69143369$ |
$1$ |
|
$0$ |
$290304$ |
$1.014822$ |
$-3937024/55$ |
$0.69786$ |
$3.12725$ |
$[0, 1, 0, -5945, -180545]$ |
\(y^2=x^3+x^2-5945x-180545\) |
3.4.0.a.1, 24.8.0-3.a.1.4, 110.2.0.?, 330.8.0.?, 1320.16.0.? |
$[(757042/53, 629258687/53)]$ |
172480.v2 |
172480l2 |
172480.v |
172480l |
$2$ |
$3$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{10} \cdot 5^{3} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1320$ |
$16$ |
$0$ |
$4.563811232$ |
$1$ |
|
$2$ |
$870912$ |
$1.564127$ |
$186050816/166375$ |
$0.81768$ |
$3.44503$ |
$[0, 1, 0, 21495, -888497]$ |
\(y^2=x^3+x^2+21495x-888497\) |
3.4.0.a.1, 24.8.0-3.a.1.3, 110.2.0.?, 330.8.0.?, 1320.16.0.? |
$[(186, 3095)]$ |
172480.w1 |
172480ek4 |
172480.w |
172480ek |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 5^{2} \cdot 7^{18} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$4.336980564$ |
$1$ |
|
$3$ |
$15925248$ |
$3.107746$ |
$3259751350395879376/3806353980275$ |
$0.97311$ |
$5.30830$ |
$[0, 1, 0, -38443505, 91639617103]$ |
\(y^2=x^3+x^2-38443505x+91639617103\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(3047, 52920)]$ |
172480.w2 |
172480ek3 |
172480.w |
172480ek |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 5 \cdot 7^{12} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$8.673961128$ |
$1$ |
|
$1$ |
$7962624$ |
$2.761169$ |
$52112158467655991296/71177645$ |
$1.08004$ |
$5.30823$ |
$[0, 1, 0, -38432725, 91693639995]$ |
\(y^2=x^3+x^2-38432725x+91693639995\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(97494/5, 4217697/5)]$ |
172480.w3 |
172480ek2 |
172480.w |
172480ek |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{14} \cdot 5^{6} \cdot 7^{10} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$1.445660188$ |
$1$ |
|
$7$ |
$5308416$ |
$2.558437$ |
$329890530231376/49933296875$ |
$0.92505$ |
$4.54546$ |
$[0, 1, 0, -1791505, -793708497]$ |
\(y^2=x^3+x^2-1791505x-793708497\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 20.6.0.c.1, 44.6.0.a.1, $\ldots$ |
$[(-649, 9800)]$ |
172480.w4 |
172480ek1 |
172480.w |
172480ek |
$4$ |
$6$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{10} \cdot 5^{3} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$9240$ |
$96$ |
$1$ |
$2.891320376$ |
$1$ |
|
$5$ |
$2654208$ |
$2.211864$ |
$106110329552896/10850811125$ |
$1.03569$ |
$4.22145$ |
$[0, 1, 0, -487125, 118574875]$ |
\(y^2=x^3+x^2-487125x+118574875\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 10.6.0.a.1, 30.24.0.a.1, $\ldots$ |
$[(695, 10780)]$ |
172480.x1 |
172480el1 |
172480.x |
172480el |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 5^{4} \cdot 7^{8} \cdot 11^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$3.970450813$ |
$1$ |
|
$3$ |
$1179648$ |
$1.629869$ |
$8736724668736/40761875$ |
$0.90235$ |
$3.78444$ |
$[0, 1, 0, -84100, -9377502]$ |
\(y^2=x^3+x^2-84100x-9377502\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(4741, 325850)]$ |
172480.x2 |
172480el2 |
172480.x |
172480el |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{2} \cdot 7^{7} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.985225406$ |
$1$ |
|
$5$ |
$2359296$ |
$1.976444$ |
$-16079333824/310023175$ |
$0.91738$ |
$3.90028$ |
$[0, 1, 0, -41225, -18887177]$ |
\(y^2=x^3+x^2-41225x-18887177\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(331, 1960)]$ |
172480.y1 |
172480em2 |
172480.y |
172480em |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{15} \cdot 5^{6} \cdot 7^{9} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$0.950909481$ |
$1$ |
|
$7$ |
$3538944$ |
$2.269302$ |
$7080100070408/648484375$ |
$0.89948$ |
$4.28436$ |
$[0, 1, 0, -627265, 175223775]$ |
\(y^2=x^3+x^2-627265x+175223775\) |
2.3.0.a.1, 56.6.0.a.1, 220.6.0.?, 3080.12.0.? |
$[(170, 8575)]$ |
172480.y2 |
172480em1 |
172480.y |
172480em |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{12} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3080$ |
$12$ |
$0$ |
$1.901818962$ |
$1$ |
|
$3$ |
$1769472$ |
$1.922729$ |
$20933297216/161767375$ |
$0.90062$ |
$3.83742$ |
$[0, 1, 0, 45015, 12935383]$ |
\(y^2=x^3+x^2+45015x+12935383\) |
2.3.0.a.1, 56.6.0.d.1, 110.6.0.?, 3080.12.0.? |
$[(51, 3920)]$ |
172480.z1 |
172480en2 |
172480.z |
172480en |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{22} \cdot 5^{8} \cdot 7^{8} \cdot 11 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$2.502615232$ |
$1$ |
|
$5$ |
$4718592$ |
$2.599556$ |
$67324767141241/3368750000$ |
$0.93010$ |
$4.64360$ |
$[0, 1, 0, -2657825, -1594930625]$ |
\(y^2=x^3+x^2-2657825x-1594930625\) |
2.3.0.a.1, 28.6.0.c.1, 44.6.0.a.1, 308.12.0.? |
$[(-950, 8575)]$ |
172480.z2 |
172480en1 |
172480.z |
172480en |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( - 2^{26} \cdot 5^{4} \cdot 7^{7} \cdot 11^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$308$ |
$12$ |
$0$ |
$1.251307616$ |
$1$ |
|
$5$ |
$2359296$ |
$2.252983$ |
$3789119879/135520000$ |
$0.92906$ |
$4.17275$ |
$[0, 1, 0, 101855, -97528257]$ |
\(y^2=x^3+x^2+101855x-97528257\) |
2.3.0.a.1, 14.6.0.b.1, 44.6.0.b.1, 308.12.0.? |
$[(541, 10780)]$ |
172480.ba1 |
172480g2 |
172480.ba |
172480g |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{12} \cdot 5 \cdot 7^{8} \cdot 11^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$589824$ |
$1.479330$ |
$62287505344/29645$ |
$0.93147$ |
$3.71937$ |
$[0, 1, 0, -64745, 6316855]$ |
\(y^2=x^3+x^2-64745x+6316855\) |
2.3.0.a.1, 10.6.0.a.1, 44.6.0.b.1, 220.12.0.? |
$[ ]$ |
172480.ba2 |
172480g1 |
172480.ba |
172480g |
$2$ |
$2$ |
\( 2^{6} \cdot 5 \cdot 7^{2} \cdot 11 \) |
\( 2^{6} \cdot 5^{2} \cdot 7^{10} \cdot 11 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.132757$ |
$1544804416/660275$ |
$1.08730$ |
$3.06787$ |
$[0, 1, 0, -4720, 62250]$ |
\(y^2=x^3+x^2-4720x+62250\) |
2.3.0.a.1, 20.6.0.c.1, 44.6.0.a.1, 220.12.0.? |
$[ ]$ |