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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
84270.a1 |
84270a2 |
84270.a |
84270a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$11.55791025$ |
$1$ |
|
$0$ |
$1078272$ |
$2.057411$ |
$1024497361441/1011240$ |
$[1, 1, 0, -589948, -174506168]$ |
\(y^2+xy=x^3+x^2-589948x-174506168\) |
2.3.0.a.1, 40.6.0.b.1, 636.6.0.?, 6360.12.0.? |
$[(29971273/153, 120268029149/153)]$ |
84270.a2 |
84270a1 |
84270.a |
84270a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{6} \cdot 3 \cdot 5^{2} \cdot 53^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$5.778955125$ |
$1$ |
|
$1$ |
$539136$ |
$1.710836$ |
$-111284641/254400$ |
$[1, 1, 0, -28148, -4056048]$ |
\(y^2+xy=x^3+x^2-28148x-4056048\) |
2.3.0.a.1, 40.6.0.c.1, 318.6.0.?, 6360.12.0.? |
$[(94081/9, 28109053/9)]$ |
84270.b1 |
84270b4 |
84270.b |
84270b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2 \cdot 3 \cdot 5^{2} \cdot 53^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$6360$ |
$96$ |
$1$ |
$27.26479259$ |
$1$ |
|
$0$ |
$14556672$ |
$3.215298$ |
$415029055674864961/3324654169350$ |
$[1, 1, 0, -43651918, -110254907162]$ |
\(y^2+xy=x^3+x^2-43651918x-110254907162\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 60.24.0-6.a.1.9, $\ldots$ |
$[(59052474509839/77901, 291606074430021977828/77901)]$ |
84270.b2 |
84270b3 |
84270.b |
84270b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 53^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$6360$ |
$96$ |
$1$ |
$13.63239629$ |
$1$ |
|
$1$ |
$7278336$ |
$2.868725$ |
$412630052957036641/26797860$ |
$[1, 1, 0, -43567648, -110704555028]$ |
\(y^2+xy=x^3+x^2-43567648x-110704555028\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0-6.a.1.4, $\ldots$ |
$[(1423537723/143, 53357663905187/143)]$ |
84270.b3 |
84270b2 |
84270.b |
84270b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{6} \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$6360$ |
$96$ |
$1$ |
$9.088264196$ |
$1$ |
|
$0$ |
$4852224$ |
$2.665989$ |
$237418132332961/9480375000$ |
$[1, 1, 0, -3623668, 2560291288]$ |
\(y^2+xy=x^3+x^2-3623668x+2560291288\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.ca.1, 60.24.0-6.a.1.5, $\ldots$ |
$[(3405287/7, 6269723195/7)]$ |
84270.b4 |
84270b1 |
84270.b |
84270b |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 5^{3} \cdot 53^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$6360$ |
$96$ |
$1$ |
$4.544132098$ |
$1$ |
|
$3$ |
$2426112$ |
$2.319416$ |
$1024497361441/309096000$ |
$[1, 1, 0, -589948, -120910448]$ |
\(y^2+xy=x^3+x^2-589948x-120910448\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0.cd.1, 30.24.0-6.a.1.3, $\ldots$ |
$[(69487, 18281341)]$ |
84270.c1 |
84270f1 |
84270.c |
84270f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{23} \cdot 3^{11} \cdot 5^{2} \cdot 53^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$11.39815395$ |
$1$ |
|
$0$ |
$167344320$ |
$4.261215$ |
$657300262000123/37150418534400$ |
$[1, 1, 0, 269675178, 16759053283284]$ |
\(y^2+xy=x^3+x^2+269675178x+16759053283284\) |
1272.2.0.? |
$[(1672175/29, 101426719658/29)]$ |
84270.d1 |
84270c1 |
84270.d |
84270c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 5^{2} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2830464$ |
$2.467678$ |
$-7402333827169/1483660800$ |
$[1, 1, 0, -1140512, 543496704]$ |
\(y^2+xy=x^3+x^2-1140512x+543496704\) |
1272.2.0.? |
$[]$ |
84270.e1 |
84270d2 |
84270.e |
84270d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2 \cdot 3^{2} \cdot 5^{4} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1272$ |
$12$ |
$0$ |
$1.053157422$ |
$1$ |
|
$4$ |
$66560$ |
$0.497275$ |
$83453453/11250$ |
$[1, 1, 0, -482, -3774]$ |
\(y^2+xy=x^3+x^2-482x-3774\) |
2.3.0.a.1, 24.6.0.j.1, 424.6.0.?, 636.6.0.?, 1272.12.0.? |
$[(-13, 29)]$ |
84270.e2 |
84270d1 |
84270.e |
84270d |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{2} \cdot 3 \cdot 5^{2} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1272$ |
$12$ |
$0$ |
$2.106314845$ |
$1$ |
|
$3$ |
$33280$ |
$0.150702$ |
$79507/300$ |
$[1, 1, 0, 48, -276]$ |
\(y^2+xy=x^3+x^2+48x-276\) |
2.3.0.a.1, 24.6.0.j.1, 318.6.0.?, 424.6.0.?, 1272.12.0.? |
$[(13, 46)]$ |
84270.f1 |
84270e1 |
84270.f |
84270e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 5^{5} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3180$ |
$12$ |
$0$ |
$0.747425619$ |
$1$ |
|
$7$ |
$199680$ |
$0.999001$ |
$13094193293/7200000$ |
$[1, 1, 0, -2602, 10324]$ |
\(y^2+xy=x^3+x^2-2602x+10324\) |
2.3.0.a.1, 60.6.0.d.1, 530.6.0.?, 636.6.0.?, 3180.12.0.? |
$[(-12, 206)]$ |
84270.f2 |
84270e2 |
84270.f |
84270e |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{10} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3180$ |
$12$ |
$0$ |
$1.494851239$ |
$1$ |
|
$4$ |
$399360$ |
$1.345573$ |
$769330693747/468750000$ |
$[1, 1, 0, 10118, 94276]$ |
\(y^2+xy=x^3+x^2+10118x+94276\) |
2.3.0.a.1, 60.6.0.d.1, 318.6.0.?, 1060.6.0.?, 3180.12.0.? |
$[(57, 899)]$ |
84270.g1 |
84270q2 |
84270.g |
84270q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{18} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$7.507427014$ |
$1$ |
|
$2$ |
$14496768$ |
$3.240044$ |
$87649400407713844299677/632812500000000000$ |
$[1, 0, 1, -49047584, 131381704046]$ |
\(y^2+xy+y=x^3-49047584x+131381704046\) |
2.3.0.a.1, 40.6.0.f.1, 424.6.0.?, 1060.6.0.?, 2120.12.0.? |
$[(5424, 155173)]$ |
84270.g2 |
84270q1 |
84270.g |
84270q |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{9} \cdot 53^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$3.753713507$ |
$1$ |
|
$5$ |
$7248384$ |
$2.893471$ |
$97802241300184795037/53747712000000000$ |
$[1, 0, 1, -5087264, -991611538]$ |
\(y^2+xy+y=x^3-5087264x-991611538\) |
2.3.0.a.1, 40.6.0.f.1, 424.6.0.?, 530.6.0.?, 2120.12.0.? |
$[(-720, 48298)]$ |
84270.h1 |
84270l4 |
84270.h |
84270l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{2} \cdot 3^{32} \cdot 5^{3} \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$4240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$207028224$ |
$4.461838$ |
$123734700956222105895361/49105035004573786500$ |
$[1, 0, 1, -2916135319, 33976652846726]$ |
\(y^2+xy+y=x^3-2916135319x+33976652846726\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.1, $\ldots$ |
$[]$ |
84270.h2 |
84270l2 |
84270.h |
84270l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{4} \cdot 3^{16} \cdot 5^{6} \cdot 53^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$2120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$103514112$ |
$4.115265$ |
$82146777284059539615361/30229559822250000$ |
$[1, 0, 1, -2543942819, 49370683523726]$ |
\(y^2+xy+y=x^3-2543942819x+49370683523726\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 20.24.0-4.a.1.2, 40.48.0-8.g.1.4, $\ldots$ |
$[]$ |
84270.h3 |
84270l1 |
84270.h |
84270l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$4240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$51757056$ |
$3.768692$ |
$82125009821717833875841/11127456000$ |
$[1, 0, 1, -2543718099, 49379844639022]$ |
\(y^2+xy+y=x^3-2543718099x+49379844639022\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 20.12.0-4.c.1.2, $\ldots$ |
$[]$ |
84270.h4 |
84270l3 |
84270.h |
84270l |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{2} \cdot 3^{8} \cdot 5^{12} \cdot 53^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$4240$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$207028224$ |
$4.461838$ |
$-51363360304251682409281/50556099454101562500$ |
$[1, 0, 1, -2175345839, 64178403720662]$ |
\(y^2+xy+y=x^3-2175345839x+64178403720662\) |
2.3.0.a.1, 4.24.0.c.1, 40.48.0-4.c.1.2, 212.48.0.?, 2120.96.1.?, $\ldots$ |
$[]$ |
84270.i1 |
84270i1 |
84270.i |
84270i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{2} \cdot 53^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$0.185117259$ |
$1$ |
|
$26$ |
$60480$ |
$0.509345$ |
$24480165601/218700$ |
$[1, 0, 1, -854, 9452]$ |
\(y^2+xy+y=x^3-854x+9452\) |
12.2.0.a.1 |
$[(6, 64), (15, 1)]$ |
84270.j1 |
84270h2 |
84270.j |
84270h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{5} \cdot 3 \cdot 5^{6} \cdot 53^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2695680$ |
$2.558460$ |
$30374248413601/4213500000$ |
$[1, 0, 1, -1825909, -828203104]$ |
\(y^2+xy+y=x^3-1825909x-828203104\) |
2.3.0.a.1, 24.6.0.a.1, 1060.6.0.?, 6360.12.0.? |
$[]$ |
84270.j2 |
84270h1 |
84270.j |
84270h |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{10} \cdot 3^{2} \cdot 5^{3} \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1347840$ |
$2.211887$ |
$543538277281/61056000$ |
$[1, 0, 1, -477589, 114002912]$ |
\(y^2+xy+y=x^3-477589x+114002912\) |
2.3.0.a.1, 24.6.0.d.1, 530.6.0.?, 6360.12.0.? |
$[]$ |
84270.k1 |
84270o1 |
84270.k |
84270o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{2} \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$12$ |
$2$ |
$0$ |
$5.179116566$ |
$1$ |
|
$2$ |
$9066816$ |
$3.151745$ |
$5284296251209/2831155200$ |
$[1, 0, 1, -14382139, -5719486714]$ |
\(y^2+xy+y=x^3-14382139x-5719486714\) |
12.2.0.a.1 |
$[(35503, 6633128)]$ |
84270.l1 |
84270n1 |
84270.l |
84270n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 5 \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.231440512$ |
$1$ |
|
$2$ |
$1373760$ |
$2.253517$ |
$-1688315689/9720$ |
$[1, 0, 1, -983209, 377026436]$ |
\(y^2+xy+y=x^3-983209x+377026436\) |
120.2.0.? |
$[(234, 12523)]$ |
84270.m1 |
84270g4 |
84270.m |
84270g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2 \cdot 3 \cdot 5 \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3594240$ |
$2.572311$ |
$67439519879569921/1590$ |
$[1, 0, 1, -23820379, 44745754472]$ |
\(y^2+xy+y=x^3-23820379x+44745754472\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
84270.m2 |
84270g3 |
84270.m |
84270g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2 \cdot 3^{4} \cdot 5 \cdot 53^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3594240$ |
$2.572311$ |
$21580151584321/6391289610$ |
$[1, 0, 1, -1629279, 559173232]$ |
\(y^2+xy+y=x^3-1629279x+559173232\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.v.1, 120.24.0.?, $\ldots$ |
$[]$ |
84270.m3 |
84270g2 |
84270.m |
84270g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{2} \cdot 53^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$1797120$ |
$2.225739$ |
$16466546841121/2528100$ |
$[1, 0, 1, -1488829, 699005252]$ |
\(y^2+xy+y=x^3-1488829x+699005252\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 120.24.0.?, 212.12.0.?, $\ldots$ |
$[]$ |
84270.m4 |
84270g1 |
84270.m |
84270g |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{4} \cdot 3 \cdot 5^{4} \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$6360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$898560$ |
$1.879166$ |
$-2992209121/1590000$ |
$[1, 0, 1, -84329, 13047452]$ |
\(y^2+xy+y=x^3-84329x+13047452\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 120.24.0.?, $\ldots$ |
$[]$ |
84270.n1 |
84270j1 |
84270.n |
84270j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{16} \cdot 3 \cdot 5^{4} \cdot 53^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$69603840$ |
$3.989433$ |
$-7079953110510961/122880000$ |
$[1, 0, 1, -2237115749, -40727644817584]$ |
\(y^2+xy+y=x^3-2237115749x-40727644817584\) |
6.2.0.a.1 |
$[]$ |
84270.o1 |
84270p1 |
84270.o |
84270p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{7} \cdot 53^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$11.39580330$ |
$1$ |
|
$0$ |
$544320$ |
$1.546774$ |
$-312598556569/67500000$ |
$[1, 0, 1, -28149, -2132384]$ |
\(y^2+xy+y=x^3-28149x-2132384\) |
120.2.0.? |
$[(131906/23, 29179641/23)]$ |
84270.p1 |
84270k4 |
84270.p |
84270k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$12720$ |
$192$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$11501568$ |
$2.940212$ |
$1279130011356875761/27818640$ |
$[1, 0, 1, -63525594, -194887057988]$ |
\(y^2+xy+y=x^3-63525594x-194887057988\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 40.24.0-8.o.1.6, $\ldots$ |
$[]$ |
84270.p2 |
84270k2 |
84270.p |
84270k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{8} \cdot 3^{4} \cdot 5^{2} \cdot 53^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$6360$ |
$192$ |
$3$ |
$1$ |
$9$ |
$3$ |
$2$ |
$5750784$ |
$2.593639$ |
$313337384670961/1456185600$ |
$[1, 0, 1, -3974794, -3038200708]$ |
\(y^2+xy+y=x^3-3974794x-3038200708\) |
2.6.0.a.1, 4.12.0.a.1, 20.24.0-4.a.1.2, 24.24.0.j.1, 120.48.0.?, $\ldots$ |
$[]$ |
84270.p3 |
84270k3 |
84270.p |
84270k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{4} \cdot 3^{2} \cdot 5^{4} \cdot 53^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$12720$ |
$192$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$11501568$ |
$2.940212$ |
$-37129335824881/710143290000$ |
$[1, 0, 1, -1952314, -6126932164]$ |
\(y^2+xy+y=x^3-1952314x-6126932164\) |
2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0-4.d.1.3, 120.48.0.?, $\ldots$ |
$[]$ |
84270.p4 |
84270k1 |
84270.p |
84270k |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{16} \cdot 3^{2} \cdot 5 \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$12720$ |
$192$ |
$3$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2875392$ |
$2.247066$ |
$272223782641/156303360$ |
$[1, 0, 1, -379274, 7923836]$ |
\(y^2+xy+y=x^3-379274x+7923836\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 40.24.0-8.o.1.8, $\ldots$ |
$[]$ |
84270.q1 |
84270m1 |
84270.q |
84270m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{11} \cdot 3^{11} \cdot 5^{6} \cdot 53^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$244632960$ |
$4.394875$ |
$-72040483310118508805967361/300441312000000$ |
$[1, 0, 1, -24350209819, -1462523251600858]$ |
\(y^2+xy+y=x^3-24350209819x-1462523251600858\) |
1272.2.0.? |
$[]$ |
84270.r1 |
84270w1 |
84270.r |
84270w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 5^{3} \cdot 53^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$5.493897284$ |
$1$ |
|
$3$ |
$1347840$ |
$1.943729$ |
$278317173889/238500$ |
$[1, 0, 1, -382083, -90868694]$ |
\(y^2+xy+y=x^3-382083x-90868694\) |
2.3.0.a.1, 24.6.0.c.1, 530.6.0.?, 6360.12.0.? |
$[(1385, 44442)]$ |
84270.r2 |
84270w2 |
84270.r |
84270w |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2 \cdot 3 \cdot 5^{6} \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$10.98779456$ |
$1$ |
|
$0$ |
$2695680$ |
$2.290302$ |
$-131794519969/263343750$ |
$[1, 0, 1, -297813, -132026162]$ |
\(y^2+xy+y=x^3-297813x-132026162\) |
2.3.0.a.1, 24.6.0.b.1, 1060.6.0.?, 6360.12.0.? |
$[(397456/17, 219610405/17)]$ |
84270.s1 |
84270r2 |
84270.s |
84270r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{3} \cdot 3^{10} \cdot 5^{2} \cdot 53^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$3.402691017$ |
$1$ |
|
$2$ |
$2695680$ |
$2.625160$ |
$1236377943972289/625919400$ |
$[1, 0, 1, -6280983, -6056712782]$ |
\(y^2+xy+y=x^3-6280983x-6056712782\) |
2.3.0.a.1, 60.6.0.c.1, 424.6.0.?, 6360.12.0.? |
$[(132734, 48283545)]$ |
84270.s2 |
84270r1 |
84270.s |
84270r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{6} \cdot 3^{5} \cdot 5 \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$6.805382034$ |
$1$ |
|
$1$ |
$1347840$ |
$2.278587$ |
$-172715635009/218427840$ |
$[1, 0, 1, -325903, -127835134]$ |
\(y^2+xy+y=x^3-325903x-127835134\) |
2.3.0.a.1, 30.6.0.a.1, 424.6.0.?, 6360.12.0.? |
$[(829576/5, 753402334/5)]$ |
84270.t1 |
84270s1 |
84270.t |
84270s |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{27} \cdot 3^{3} \cdot 5^{2} \cdot 53^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1272$ |
$2$ |
$0$ |
$2.504994249$ |
$1$ |
|
$2$ |
$18195840$ |
$3.512531$ |
$-147282356044230283729/4801639219200$ |
$[1, 0, 1, -309049048, 2091202608806]$ |
\(y^2+xy+y=x^3-309049048x+2091202608806\) |
1272.2.0.? |
$[(10092, 7594)]$ |
84270.u1 |
84270t1 |
84270.u |
84270t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{7} \cdot 3 \cdot 5^{3} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$1.479463631$ |
$1$ |
|
$2$ |
$36288$ |
$0.240918$ |
$4213871/48000$ |
$[1, 0, 1, 47, 548]$ |
\(y^2+xy+y=x^3+47x+548\) |
120.2.0.? |
$[(-6, 10)]$ |
84270.v1 |
84270u1 |
84270.v |
84270u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{4} \cdot 53^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.189517414$ |
$1$ |
|
$8$ |
$570240$ |
$1.602753$ |
$-868206687025969/453496320000$ |
$[1, 0, 1, -28043, 2490806]$ |
\(y^2+xy+y=x^3-28043x+2490806\) |
6.2.0.a.1 |
$[(15, 1432)]$ |
84270.w1 |
84270v2 |
84270.w |
84270v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{7} \cdot 3^{14} \cdot 5^{6} \cdot 53^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1.990740739$ |
$1$ |
|
$0$ |
$26417664$ |
$3.528839$ |
$3133472866308360289/506994714000000$ |
$[1, 0, 1, -85635233, -258898033132]$ |
\(y^2+xy+y=x^3-85635233x-258898033132\) |
2.3.0.a.1, 60.6.0.c.1, 424.6.0.?, 6360.12.0.? |
$[(71691/2, 15855335/2)]$ |
84270.w2 |
84270v1 |
84270.w |
84270v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{3} \cdot 53^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$3.981481479$ |
$1$ |
|
$1$ |
$13208832$ |
$3.182266$ |
$4478336057868191/12581443584000$ |
$[1, 0, 1, 9646047, -22638571244]$ |
\(y^2+xy+y=x^3+9646047x-22638571244\) |
2.3.0.a.1, 30.6.0.a.1, 424.6.0.?, 6360.12.0.? |
$[(520955/7, 386492646/7)]$ |
84270.x1 |
84270x1 |
84270.x |
84270x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{5} \cdot 53^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6739200$ |
$2.958023$ |
$2434278488702761/625919400000$ |
$[1, 1, 1, -7872281, -6340707097]$ |
\(y^2+xy+y=x^3+x^2-7872281x-6340707097\) |
2.3.0.a.1, 24.6.0.c.1, 530.6.0.?, 6360.12.0.? |
$[]$ |
84270.x2 |
84270x2 |
84270.x |
84270x |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 5^{10} \cdot 53^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$6360$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$13478400$ |
$3.304596$ |
$36607265722975319/53327109375000$ |
$[1, 1, 1, 19431199, -40601113801]$ |
\(y^2+xy+y=x^3+x^2+19431199x-40601113801\) |
2.3.0.a.1, 24.6.0.b.1, 1060.6.0.?, 6360.12.0.? |
$[]$ |
84270.y1 |
84270y1 |
84270.y |
84270y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{7} \cdot 3 \cdot 5^{3} \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$5.346255521$ |
$1$ |
|
$2$ |
$1923264$ |
$2.226063$ |
$4213871/48000$ |
$[1, 1, 1, 133369, 81088253]$ |
\(y^2+xy+y=x^3+x^2+133369x+81088253\) |
120.2.0.? |
$[(-13, 8914)]$ |
84270.z1 |
84270z1 |
84270.z |
84270z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{4} \cdot 53^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$2.122987283$ |
$1$ |
|
$2$ |
$30222720$ |
$3.587898$ |
$-868206687025969/453496320000$ |
$[1, 1, 1, -78771441, 371138847759]$ |
\(y^2+xy+y=x^3+x^2-78771441x+371138847759\) |
6.2.0.a.1 |
$[(60159, 14576720)]$ |
84270.ba1 |
84270bj2 |
84270.ba |
84270bj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{11} \cdot 3^{4} \cdot 5^{18} \cdot 53^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$768328704$ |
$5.225189$ |
$87649400407713844299677/632812500000000000$ |
$[1, 1, 1, -137774662110, 19560265051941915]$ |
\(y^2+xy+y=x^3+x^2-137774662110x+19560265051941915\) |
2.3.0.a.1, 40.6.0.f.1, 424.6.0.?, 1060.6.0.?, 2120.12.0.? |
$[]$ |
84270.ba2 |
84270bj1 |
84270.ba |
84270bj |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{22} \cdot 3^{8} \cdot 5^{9} \cdot 53^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2120$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$384164352$ |
$4.878616$ |
$97802241300184795037/53747712000000000$ |
$[1, 1, 1, -14290123230, -147570990412773]$ |
\(y^2+xy+y=x^3+x^2-14290123230x-147570990412773\) |
2.3.0.a.1, 40.6.0.f.1, 424.6.0.?, 530.6.0.?, 2120.12.0.? |
$[]$ |
84270.bb1 |
84270bg7 |
84270.bb |
84270bg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 53^{2} \) |
\( 2^{3} \cdot 3^{4} \cdot 5^{3} \cdot 53^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$6360$ |
$384$ |
$5$ |
$6.178830602$ |
$1$ |
|
$0$ |
$3594240$ |
$2.549313$ |
$16778985534208729/81000$ |
$[1, 1, 1, -14981860, -22326372163]$ |
\(y^2+xy+y=x^3+x^2-14981860x-22326372163\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.24.0.g.1, $\ldots$ |
$[(98563/3, 28517987/3)]$ |