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 |
161172.a1 |
161172a2 |
161172.a |
161172a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{13} \cdot 11^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20643840$ |
$3.015007$ |
$983758169579344/43835197923$ |
$0.92785$ |
$5.09136$ |
$[0, 0, 0, -14327247, 20053657910]$ |
\(y^2=x^3-14327247x+20053657910\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.a2 |
161172a1 |
161172.a |
161172a |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{20} \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$10321920$ |
$2.668434$ |
$75760866033664/21413352213$ |
$1.06331$ |
$4.64630$ |
$[0, 0, 0, -2419032, -1035790855]$ |
\(y^2=x^3-2419032x-1035790855\) |
2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.? |
$[]$ |
161172.b1 |
161172b2 |
161172.b |
161172b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{7} \cdot 11^{8} \cdot 37^{3} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$222$ |
$16$ |
$0$ |
$2.462411285$ |
$1$ |
|
$6$ |
$2052864$ |
$2.190609$ |
$-14580451072/151959$ |
$0.85287$ |
$4.33421$ |
$[0, 0, 0, -690789, 222967789]$ |
\(y^2=x^3-690789x+222967789\) |
3.8.0-3.a.1.2, 222.16.0.? |
$[(548, 2997)]$ |
161172.b2 |
161172b1 |
161172.b |
161172b |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$222$ |
$16$ |
$0$ |
$7.387233857$ |
$1$ |
|
$0$ |
$684288$ |
$1.641302$ |
$965888/999$ |
$0.70666$ |
$3.53023$ |
$[0, 0, 0, 27951, 1595869]$ |
\(y^2=x^3+27951x+1595869\) |
3.8.0-3.a.1.1, 222.16.0.? |
$[(-844/5, 97929/5)]$ |
161172.c1 |
161172c2 |
161172.c |
161172c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{7} \cdot 11^{2} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2442$ |
$16$ |
$0$ |
$3.896623036$ |
$1$ |
|
$2$ |
$186624$ |
$0.991661$ |
$-14580451072/151959$ |
$0.85287$ |
$3.13429$ |
$[0, 0, 0, -5709, -167519]$ |
\(y^2=x^3-5709x-167519\) |
3.4.0.a.1, 33.8.0-3.a.1.2, 222.8.0.?, 2442.16.0.? |
$[(104, 603)]$ |
161172.c2 |
161172c1 |
161172.c |
161172c |
$2$ |
$3$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2442$ |
$16$ |
$0$ |
$1.298874345$ |
$1$ |
|
$4$ |
$62208$ |
$0.442355$ |
$965888/999$ |
$0.70666$ |
$2.33030$ |
$[0, 0, 0, 231, -1199]$ |
\(y^2=x^3+231x-1199\) |
3.4.0.a.1, 33.8.0-3.a.1.1, 222.8.0.?, 2442.16.0.? |
$[(5, 9)]$ |
161172.d1 |
161172e2 |
161172.d |
161172e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{9} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7299072$ |
$2.705757$ |
$2418622412528/333$ |
$1.00337$ |
$5.19024$ |
$[0, 0, 0, -21270711, -37759051154]$ |
\(y^2=x^3-21270711x-37759051154\) |
2.3.0.a.1, 44.6.0.c.1, 148.6.0.?, 1628.12.0.? |
$[]$ |
161172.d2 |
161172e1 |
161172.d |
161172e |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{10} \cdot 11^{9} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3649536$ |
$2.359180$ |
$-9368158208/110889$ |
$1.04372$ |
$4.49751$ |
$[0, 0, 0, -1325676, -593472935]$ |
\(y^2=x^3-1325676x-593472935\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[]$ |
161172.e1 |
161172d1 |
161172.e |
161172d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{14} \cdot 11^{10} \cdot 37^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$17694720$ |
$3.120953$ |
$17453395699253248/4865706969453$ |
$0.99749$ |
$5.09998$ |
$[0, 0, 0, -14829276, -15823525619]$ |
\(y^2=x^3-14829276x-15823525619\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 74.6.0.?, 148.24.0.?, $\ldots$ |
$[]$ |
161172.e2 |
161172d2 |
161172.e |
161172d |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{10} \cdot 11^{8} \cdot 37^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$888$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$35389440$ |
$3.467529$ |
$19144301716363952/25146684534609$ |
$0.96435$ |
$5.35885$ |
$[0, 0, 0, 38537169, -103760753690]$ |
\(y^2=x^3+38537169x-103760753690\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 148.12.0.?, 296.24.0.?, $\ldots$ |
$[]$ |
161172.f1 |
161172q1 |
161172.f |
161172q |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{3} \cdot 11^{3} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1.562841067$ |
$1$ |
|
$15$ |
$50688$ |
$0.273917$ |
$11943936/37$ |
$0.93953$ |
$2.46516$ |
$[0, 0, 0, -396, 3025]$ |
\(y^2=x^3-396x+3025\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 2442.6.0.?, 4884.12.0.? |
$[(0, 55), (12, 1)]$ |
161172.f2 |
161172q2 |
161172.f |
161172q |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{3} \cdot 11^{3} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1.562841067$ |
$1$ |
|
$15$ |
$101376$ |
$0.620491$ |
$-148176/1369$ |
$0.73569$ |
$2.56642$ |
$[0, 0, 0, -231, 5566]$ |
\(y^2=x^3-231x+5566\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 4884.12.0.? |
$[(15, 74), (3, 70)]$ |
161172.g1 |
161172f1 |
161172.g |
161172f |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{10} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$7.039472129$ |
$1$ |
|
$2$ |
$1317888$ |
$1.999023$ |
$52272/37$ |
$0.64062$ |
$3.91819$ |
$[0, 0, 0, 131769, -8696754]$ |
\(y^2=x^3+131769x-8696754\) |
148.2.0.? |
$[(3246, 186066)]$ |
161172.h1 |
161172r2 |
161172.h |
161172r |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{6} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$2.370763408$ |
$1$ |
|
$11$ |
$491520$ |
$1.389618$ |
$3302801136/37$ |
$0.90507$ |
$3.76527$ |
$[0, 0, 0, -71511, 7360430]$ |
\(y^2=x^3-71511x+7360430\) |
2.3.0.a.1, 12.6.0.c.1, 148.6.0.?, 444.12.0.? |
$[(143, 242), (323, 4238)]$ |
161172.h2 |
161172r1 |
161172.h |
161172r |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{6} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$2.370763408$ |
$1$ |
|
$17$ |
$245760$ |
$1.043045$ |
$-11943936/1369$ |
$0.91004$ |
$3.08019$ |
$[0, 0, 0, -4356, 121121]$ |
\(y^2=x^3-4356x+121121\) |
2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[(44, 121), (-40, 481)]$ |
161172.i1 |
161172g1 |
161172.i |
161172g |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{6} \cdot 11^{4} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$1.765947559$ |
$1$ |
|
$2$ |
$119808$ |
$0.800076$ |
$52272/37$ |
$0.64062$ |
$2.71827$ |
$[0, 0, 0, 1089, 6534]$ |
\(y^2=x^3+1089x+6534\) |
148.2.0.? |
$[(15, 162)]$ |
161172.j1 |
161172t1 |
161172.j |
161172t |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{3} \cdot 11^{9} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$557568$ |
$1.472864$ |
$11943936/37$ |
$0.93953$ |
$3.66509$ |
$[0, 0, 0, -47916, -4026275]$ |
\(y^2=x^3-47916x-4026275\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 2442.6.0.?, 4884.12.0.? |
$[]$ |
161172.j2 |
161172t2 |
161172.j |
161172t |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{3} \cdot 11^{9} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1115136$ |
$1.819439$ |
$-148176/1369$ |
$0.73569$ |
$3.76635$ |
$[0, 0, 0, -27951, -7408346]$ |
\(y^2=x^3-27951x-7408346\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 4884.12.0.? |
$[]$ |
161172.k1 |
161172h2 |
161172.k |
161172h |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{8} \cdot 11^{3} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$663552$ |
$1.506807$ |
$2418622412528/333$ |
$1.00337$ |
$3.99031$ |
$[0, 0, 0, -175791, 28368934]$ |
\(y^2=x^3-175791x+28368934\) |
2.3.0.a.1, 44.6.0.c.1, 148.6.0.?, 1628.12.0.? |
$[]$ |
161172.k2 |
161172h1 |
161172.k |
161172h |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{10} \cdot 11^{3} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$331776$ |
$1.160234$ |
$-9368158208/110889$ |
$1.04372$ |
$3.29758$ |
$[0, 0, 0, -10956, 445885]$ |
\(y^2=x^3-10956x+445885\) |
2.3.0.a.1, 22.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[]$ |
161172.l1 |
161172s2 |
161172.l |
161172s |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{3} \cdot 11^{10} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$921600$ |
$1.739262$ |
$1671793776/541717$ |
$0.85057$ |
$3.70848$ |
$[0, 0, 0, -56991, 3473910]$ |
\(y^2=x^3-56991x+3473910\) |
2.3.0.a.1, 12.6.0.c.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.l2 |
161172s1 |
161172.l |
161172s |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{8} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$460800$ |
$1.392689$ |
$151732224/165649$ |
$0.91178$ |
$3.27712$ |
$[0, 0, 0, 10164, 371349]$ |
\(y^2=x^3+10164x+371349\) |
2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.m1 |
161172u1 |
161172.m |
161172u |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$3.127471300$ |
$1$ |
|
$2$ |
$18432$ |
$-0.088268$ |
$-76032/37$ |
$0.56335$ |
$1.89432$ |
$[0, 0, 0, -33, -99]$ |
\(y^2=x^3-33x-99\) |
222.2.0.? |
$[(36, 213)]$ |
161172.n1 |
161172i1 |
161172.n |
161172i |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{11} \cdot 11^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$6.509712112$ |
$1$ |
|
$0$ |
$1140480$ |
$2.005623$ |
$-2901327616/8991$ |
$0.83054$ |
$4.19852$ |
$[0, 0, 0, -403293, -98841391]$ |
\(y^2=x^3-403293x-98841391\) |
222.2.0.? |
$[(132616/13, 18102447/13)]$ |
161172.o1 |
161172j1 |
161172.o |
161172j |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{11} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$0.344996981$ |
$1$ |
|
$6$ |
$103680$ |
$0.806675$ |
$-2901327616/8991$ |
$0.83054$ |
$2.99859$ |
$[0, 0, 0, -3333, 74261]$ |
\(y^2=x^3-3333x+74261\) |
222.2.0.? |
$[(25, 81)]$ |
161172.p1 |
161172v1 |
161172.p |
161172v |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{3} \cdot 11^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$0.583334865$ |
$1$ |
|
$4$ |
$202752$ |
$1.110680$ |
$-76032/37$ |
$0.56335$ |
$3.09425$ |
$[0, 0, 0, -3993, 131769]$ |
\(y^2=x^3-3993x+131769\) |
222.2.0.? |
$[(0, 363)]$ |
161172.q1 |
161172k2 |
161172.q |
161172k |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{10} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$2.468948$ |
$1482435250000/60130587$ |
$0.92845$ |
$4.54945$ |
$[0, 0, 0, -1642575, -781368874]$ |
\(y^2=x^3-1642575x-781368874\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.q2 |
161172k1 |
161172.q |
161172k |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2211840$ |
$2.122372$ |
$23018340352000/40293$ |
$1.07901$ |
$4.54695$ |
$[0, 0, 0, -1626240, -798223327]$ |
\(y^2=x^3-1626240x-798223327\) |
2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.? |
$[]$ |
161172.r1 |
161172l2 |
161172.r |
161172l |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{11} \cdot 11^{8} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$11059200$ |
$3.189598$ |
$1666315860501346000/40252707$ |
$1.07171$ |
$5.71143$ |
$[0, 0, 0, -170786055, 859066363694]$ |
\(y^2=x^3-170786055x+859066363694\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.r2 |
161172l1 |
161172.r |
161172l |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{16} \cdot 11^{10} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5529600$ |
$2.843025$ |
$6532108386304000/31987847133$ |
$1.30184$ |
$5.01801$ |
$[0, 0, 0, -10686720, 13389656357]$ |
\(y^2=x^3-10686720x+13389656357\) |
2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.? |
$[]$ |
161172.s1 |
161172m2 |
161172.s |
161172m |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{7} \cdot 11^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.600786$ |
$9826000/4107$ |
$0.83989$ |
$3.55496$ |
$[0, 0, 0, -30855, 1099406]$ |
\(y^2=x^3-30855x+1099406\) |
2.3.0.a.1, 12.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.s2 |
161172m1 |
161172.s |
161172m |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{8} \cdot 11^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$1.254213$ |
$16384000/333$ |
$0.94193$ |
$3.36636$ |
$[0, 0, 0, -14520, -661507]$ |
\(y^2=x^3-14520x-661507\) |
2.3.0.a.1, 12.6.0.b.1, 74.6.0.?, 444.12.0.? |
$[]$ |
161172.t1 |
161172w1 |
161172.t |
161172w |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{2} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$0.730888165$ |
$1$ |
|
$4$ |
$55296$ |
$0.461038$ |
$-76032/37$ |
$0.56335$ |
$2.44408$ |
$[0, 0, 0, -297, 2673]$ |
\(y^2=x^3-297x+2673\) |
222.2.0.? |
$[(9, 27)]$ |
161172.u1 |
161172x1 |
161172.u |
161172x |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{8} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$222$ |
$2$ |
$0$ |
$27.23530297$ |
$1$ |
|
$0$ |
$608256$ |
$1.659986$ |
$-76032/37$ |
$0.56335$ |
$3.64400$ |
$[0, 0, 0, -35937, -3557763]$ |
\(y^2=x^3-35937x-3557763\) |
222.2.0.? |
$[(3137779815732/55679, 5450115872791103229/55679)]$ |
161172.v1 |
161172y1 |
161172.v |
161172y |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{3} \cdot 37 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$21.63774598$ |
$1$ |
|
$5$ |
$152064$ |
$0.823223$ |
$11943936/37$ |
$0.93953$ |
$3.01492$ |
$[0, 0, 0, -3564, -81675]$ |
\(y^2=x^3-3564x-81675\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 2442.6.0.?, 4884.12.0.? |
$[(75, 270), (1153/4, 12095/4)]$ |
161172.v2 |
161172y2 |
161172.v |
161172y |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{9} \cdot 11^{3} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$21.63774598$ |
$1$ |
|
$3$ |
$304128$ |
$1.169798$ |
$-148176/1369$ |
$0.73569$ |
$3.11618$ |
$[0, 0, 0, -2079, -150282]$ |
\(y^2=x^3-2079x-150282\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 4884.12.0.? |
$[(214, 3034), (289/2, 2215/2)]$ |
161172.w1 |
161172n2 |
161172.w |
161172n |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{6} \cdot 11^{7} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$737280$ |
$1.749159$ |
$154617552/15059$ |
$0.81877$ |
$3.78481$ |
$[0, 0, 0, -77319, -7546770]$ |
\(y^2=x^3-77319x-7546770\) |
2.3.0.a.1, 44.6.0.a.1, 148.6.0.?, 1628.12.0.? |
$[]$ |
161172.w2 |
161172n1 |
161172.w |
161172n |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{6} \cdot 11^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1628$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.402584$ |
$28311552/4477$ |
$0.99565$ |
$3.41198$ |
$[0, 0, 0, -17424, 754677]$ |
\(y^2=x^3-17424x+754677\) |
2.3.0.a.1, 44.6.0.b.1, 74.6.0.?, 1628.12.0.? |
$[]$ |
161172.x1 |
161172z2 |
161172.x |
161172z |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$1474560$ |
$1.938925$ |
$3302801136/37$ |
$0.90507$ |
$4.31502$ |
$[0, 0, 0, -643599, -198731610]$ |
\(y^2=x^3-643599x-198731610\) |
2.3.0.a.1, 12.6.0.c.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.x2 |
161172z1 |
161172.x |
161172z |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$737280$ |
$1.592350$ |
$-11943936/1369$ |
$0.91004$ |
$3.62995$ |
$[0, 0, 0, -39204, -3270267]$ |
\(y^2=x^3-39204x-3270267\) |
2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.y1 |
161172bb1 |
161172.y |
161172bb |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{9} \cdot 11^{9} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1672704$ |
$2.022171$ |
$11943936/37$ |
$0.93953$ |
$4.21484$ |
$[0, 0, 0, -431244, 108709425]$ |
\(y^2=x^3-431244x+108709425\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 2442.6.0.?, 4884.12.0.? |
$[]$ |
161172.y2 |
161172bb2 |
161172.y |
161172bb |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{9} \cdot 11^{9} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4884$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3345408$ |
$2.368744$ |
$-148176/1369$ |
$0.73569$ |
$4.31610$ |
$[0, 0, 0, -251559, 200025342]$ |
\(y^2=x^3-251559x+200025342\) |
2.3.0.a.1, 132.6.0.?, 148.6.0.?, 4884.12.0.? |
$[]$ |
161172.z1 |
161172ba2 |
161172.z |
161172ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{10} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$2764800$ |
$2.288567$ |
$1671793776/541717$ |
$0.85057$ |
$4.25824$ |
$[0, 0, 0, -512919, -93795570]$ |
\(y^2=x^3-512919x-93795570\) |
2.3.0.a.1, 12.6.0.c.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.z2 |
161172ba1 |
161172.z |
161172ba |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{4} \cdot 3^{9} \cdot 11^{8} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$444$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1382400$ |
$1.941994$ |
$151732224/165649$ |
$0.91178$ |
$3.82687$ |
$[0, 0, 0, 91476, -10026423]$ |
\(y^2=x^3+91476x-10026423\) |
2.3.0.a.1, 6.6.0.a.1, 148.6.0.?, 444.12.0.? |
$[]$ |
161172.ba1 |
161172o1 |
161172.ba |
161172o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{4} \cdot 3^{10} \cdot 11^{6} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$491520$ |
$1.337746$ |
$5619712/2997$ |
$0.96732$ |
$3.27712$ |
$[0, 0, 0, -10164, 110473]$ |
\(y^2=x^3-10164x+110473\) |
2.3.0.a.1, 4.6.0.b.1, 74.6.0.?, 88.12.0.?, 148.24.0.?, $\ldots$ |
$[]$ |
161172.ba2 |
161172o2 |
161172.ba |
161172o |
$2$ |
$2$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( - 2^{8} \cdot 3^{8} \cdot 11^{6} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$3256$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$983040$ |
$1.684319$ |
$19600688/12321$ |
$0.98956$ |
$3.61255$ |
$[0, 0, 0, 38841, 865150]$ |
\(y^2=x^3+38841x+865150\) |
2.3.0.a.1, 4.6.0.a.1, 88.12.0.?, 148.12.0.?, 296.24.0.?, $\ldots$ |
$[]$ |
161172.bb1 |
161172p1 |
161172.bb |
161172p |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 11^{2} \cdot 37 \) |
\( 2^{8} \cdot 3^{6} \cdot 11^{6} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$74$ |
$2$ |
$0$ |
$6.816826771$ |
$1$ |
|
$0$ |
$428400$ |
$1.201288$ |
$65536/37$ |
$0.98850$ |
$3.13710$ |
$[0, 0, 0, -5808, -26620]$ |
\(y^2=x^3-5808x-26620\) |
74.2.0.? |
$[(-635/3, 4825/3)]$ |