| 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 |
Manin constant |
| 277725.a1 |
277725a1 |
277725.a |
277725a |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{9} \cdot 5^{22} \cdot 7^{3} \cdot 23^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165224448$ |
$3.753033$ |
$-2476357085090396229632/1030161895751953125$ |
$1.05208$ |
$5.49415$ |
$[0, -1, 1, -162068158, -1041095638032]$ |
\(y^2+y=x^3-x^2-162068158x-1041095638032\) |
966.2.0.? |
$[ ]$ |
$1$ |
| 277725.b1 |
277725b1 |
277725.b |
277725b |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{10} \cdot 7 \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5068800$ |
$2.108582$ |
$-102400/483$ |
$0.88154$ |
$3.88195$ |
$[0, -1, 1, -110208, 42635318]$ |
\(y^2+y=x^3-x^2-110208x+42635318\) |
966.2.0.? |
$[ ]$ |
$1$ |
| 277725.c1 |
277725c1 |
277725.c |
277725c |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{2} \cdot 7^{3} \cdot 23^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$7.232786690$ |
$1$ |
|
$4$ |
$1216512$ |
$1.394472$ |
$-100618240/23667$ |
$0.78457$ |
$3.25503$ |
$[0, -1, 1, -14988, -832612]$ |
\(y^2+y=x^3-x^2-14988x-832612\) |
966.2.0.? |
$[(146, 264), (6604/3, 528193/3)]$ |
$1$ |
| 277725.d1 |
277725d1 |
277725.d |
277725d |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{14} \cdot 5^{9} \cdot 7^{5} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$289336320$ |
$4.093384$ |
$-18163305455448064/10048419997875$ |
$0.99504$ |
$5.81198$ |
$[0, -1, 1, -585739658, 7631287978718]$ |
\(y^2+y=x^3-x^2-585739658x+7631287978718\) |
70.2.0.a.1 |
$[ ]$ |
$1$ |
| 277725.e1 |
277725e1 |
277725.e |
277725e |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$4.183799947$ |
$1$ |
|
$2$ |
$43241472$ |
$3.207882$ |
$224962015232/51883209$ |
$0.98726$ |
$4.97212$ |
$[0, -1, 1, -21920878, -30629387742]$ |
\(y^2+y=x^3-x^2-21920878x-30629387742\) |
10.2.0.a.1 |
$[(9877, 846352)]$ |
$1$ |
| 277725.f1 |
277725f1 |
277725.f |
277725f |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{5} \cdot 5^{6} \cdot 7 \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12672000$ |
$2.497986$ |
$-98867482624/20696067$ |
$1.05025$ |
$4.31576$ |
$[0, -1, 1, -1274008, 646303668]$ |
\(y^2+y=x^3-x^2-1274008x+646303668\) |
966.2.0.? |
$[ ]$ |
$1$ |
| 277725.g1 |
277725g1 |
277725.g |
277725g |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{3} \cdot 7^{8} \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$0.140680763$ |
$1$ |
|
$26$ |
$1880064$ |
$1.640133$ |
$224962015232/51883209$ |
$0.98726$ |
$3.47121$ |
$[0, -1, 1, -41438, 2531828]$ |
\(y^2+y=x^3-x^2-41438x+2531828\) |
10.2.0.a.1 |
$[(-199, 1690), (242, 2572)]$ |
$1$ |
| 277725.h1 |
277725h1 |
277725.h |
277725h |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{14} \cdot 5^{9} \cdot 7^{5} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.191977610$ |
$1$ |
|
$4$ |
$12579840$ |
$2.525639$ |
$-18163305455448064/10048419997875$ |
$0.99504$ |
$4.31108$ |
$[0, -1, 1, -1107258, -626826832]$ |
\(y^2+y=x^3-x^2-1107258x-626826832\) |
70.2.0.a.1 |
$[(1437, 27337)]$ |
$1$ |
| 277725.i1 |
277725i1 |
277725.i |
277725i |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{6} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$2.808895039$ |
$1$ |
|
$0$ |
$1520640$ |
$1.574636$ |
$512000/483$ |
$0.74348$ |
$3.32012$ |
$[0, -1, 1, 22042, -1007182]$ |
\(y^2+y=x^3-x^2+22042x-1007182\) |
966.2.0.? |
$[(1573/2, 66121/2)]$ |
$1$ |
| 277725.j1 |
277725j1 |
277725.j |
277725j |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{9} \cdot 5^{22} \cdot 7^{3} \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$30.73569948$ |
$1$ |
|
$0$ |
$3800162304$ |
$5.320778$ |
$-2476357085090396229632/1030161895751953125$ |
$1.05208$ |
$6.99506$ |
$[0, -1, 1, -85734055758, 12667696500377918]$ |
\(y^2+y=x^3-x^2-85734055758x+12667696500377918\) |
966.2.0.? |
$[(41853533547984733/202658, 8254726801321471328272019/202658)]$ |
$1$ |
| 277725.k1 |
277725k1 |
277725.k |
277725k |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{7} \cdot 5^{4} \cdot 7 \cdot 23^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1.344704603$ |
$1$ |
|
$14$ |
$3548160$ |
$1.857052$ |
$503091200/352107$ |
$0.86980$ |
$3.61302$ |
$[0, 1, 1, 74942, -3588506]$ |
\(y^2+y=x^3+x^2+74942x-3588506\) |
966.2.0.? |
$[(107, 2380), (14597, 1763950)]$ |
$1$ |
| 277725.l1 |
277725l1 |
277725.l |
277725l |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$6.906311125$ |
$1$ |
|
$0$ |
$14784768$ |
$2.915836$ |
$1739565922747/1089547389$ |
$0.97896$ |
$4.63500$ |
$[1, 1, 1, 5359817, 1372425806]$ |
\(y^2+xy+y=x^3+x^2+5359817x+1372425806\) |
420.2.0.? |
$[(8674/5, 7130597/5)]$ |
$1$ |
| 277725.m1 |
277725m2 |
277725.m |
277725m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{8} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.128 |
2B |
$7728$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$55959552$ |
$3.564884$ |
$6163717745375/466948881$ |
$0.98902$ |
$5.37129$ |
$[1, 1, 1, -116188513, 449343723656]$ |
\(y^2+xy+y=x^3+x^2-116188513x+449343723656\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 48.48.1.fo.1, 92.12.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 277725.m2 |
277725m1 |
277725.m |
277725m |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 23^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.83 |
2B |
$7728$ |
$192$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$27979776$ |
$3.218311$ |
$1349232625/15752961$ |
$0.98873$ |
$4.93463$ |
$[1, 1, 1, 7002362, 31233893906]$ |
\(y^2+xy+y=x^3+x^2+7002362x+31233893906\) |
2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$ |
$[ ]$ |
$1$ |
| 277725.n1 |
277725n1 |
277725.n |
277725n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{12} \cdot 7^{3} \cdot 23^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14598144$ |
$2.972103$ |
$328523283207001/1109390625$ |
$0.91995$ |
$4.93803$ |
$[1, 1, 1, -19011213, 31804155906]$ |
\(y^2+xy+y=x^3+x^2-19011213x+31804155906\) |
2.3.0.a.1, 20.6.0.b.1, 322.6.0.?, 3220.12.0.? |
$[ ]$ |
$1$ |
| 277725.n2 |
277725n2 |
277725.n |
277725n |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{9} \cdot 7^{6} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3220$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29196288$ |
$3.318676$ |
$-59323563117001/630142750125$ |
$0.95286$ |
$5.03787$ |
$[1, 1, 1, -10745588, 59642780906]$ |
\(y^2+xy+y=x^3+x^2-10745588x+59642780906\) |
2.3.0.a.1, 20.6.0.a.1, 644.6.0.?, 3220.12.0.? |
$[ ]$ |
$1$ |
| 277725.o1 |
277725o1 |
277725.o |
277725o |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{3} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$186624$ |
$0.741920$ |
$160261033/1029$ |
$0.87602$ |
$2.77795$ |
$[1, 1, 1, -2288, -42844]$ |
\(y^2+xy+y=x^3+x^2-2288x-42844\) |
42.2.0.a.1 |
$[ ]$ |
$1$ |
| 277725.p1 |
277725p1 |
277725.p |
277725p |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3 \cdot 5^{6} \cdot 7^{3} \cdot 23^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$5.187782168$ |
$1$ |
|
$2$ |
$4292352$ |
$2.309669$ |
$160261033/1029$ |
$0.87602$ |
$4.27886$ |
$[1, 1, 1, -1210363, 509177156]$ |
\(y^2+xy+y=x^3+x^2-1210363x+509177156\) |
42.2.0.a.1 |
$[(366, 10558)]$ |
$1$ |
| 277725.q1 |
277725q2 |
277725.q |
277725q |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{6} \cdot 7^{8} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.128 |
2B |
$7728$ |
$192$ |
$9$ |
$1.300107650$ |
$1$ |
|
$4$ |
$2433024$ |
$1.997137$ |
$6163717745375/466948881$ |
$0.98902$ |
$3.87038$ |
$[1, 1, 1, -219638, -37026844]$ |
\(y^2+xy+y=x^3+x^2-219638x-37026844\) |
2.3.0.a.1, 4.6.0.e.1, 8.24.0.bi.1, 48.48.1.fo.1, 92.12.0.?, $\ldots$ |
$[(-255, 1702)]$ |
$1$ |
| 277725.q2 |
277725q1 |
277725.q |
277725q |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{8} \cdot 5^{6} \cdot 7^{4} \cdot 23^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.83 |
2B |
$7728$ |
$192$ |
$9$ |
$2.600215301$ |
$1$ |
|
$3$ |
$1216512$ |
$1.650564$ |
$1349232625/15752961$ |
$0.98873$ |
$3.43372$ |
$[1, 1, 1, 13237, -2561344]$ |
\(y^2+xy+y=x^3+x^2+13237x-2561344\) |
2.3.0.a.1, 4.12.0.f.1, 8.24.0.bt.1, 46.6.0.a.1, 48.48.1.fv.1, $\ldots$ |
$[(429, 8857)]$ |
$1$ |
| 277725.r1 |
277725r3 |
277725.r |
277725r |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3 \cdot 5^{10} \cdot 7 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$7.264638582$ |
$1$ |
|
$0$ |
$4325376$ |
$2.206505$ |
$157551496201/13125$ |
$0.96087$ |
$4.32830$ |
$[1, 1, 1, -1488088, 698030156]$ |
\(y^2+xy+y=x^3+x^2-1488088x+698030156\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 42.6.0.a.1, 84.12.0.?, $\ldots$ |
$[(37261/4, 6283497/4)]$ |
$1$ |
| 277725.r2 |
277725r2 |
277725.r |
277725r |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$9660$ |
$48$ |
$0$ |
$3.632319291$ |
$1$ |
|
$4$ |
$2162688$ |
$1.859930$ |
$47045881/11025$ |
$1.04751$ |
$3.68077$ |
$[1, 1, 1, -99463, 9272156]$ |
\(y^2+xy+y=x^3+x^2-99463x+9272156\) |
2.6.0.a.1, 20.12.0.a.1, 84.12.0.?, 92.12.0.?, 420.24.0.?, $\ldots$ |
$[(2221, 102573)]$ |
$1$ |
| 277725.r3 |
277725r1 |
277725.r |
277725r |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3 \cdot 5^{7} \cdot 7 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$7.264638582$ |
$1$ |
|
$1$ |
$1081344$ |
$1.513357$ |
$1771561/105$ |
$0.96659$ |
$3.41915$ |
$[1, 1, 1, -33338, -2233594]$ |
\(y^2+xy+y=x^3+x^2-33338x-2233594\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0.ba.1, 92.12.0.?, 168.12.0.?, $\ldots$ |
$[(-6775/8, 206569/8)]$ |
$1$ |
| 277725.r4 |
277725r4 |
277725.r |
277725r |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{4} \cdot 5^{7} \cdot 7^{4} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$19320$ |
$48$ |
$0$ |
$1.816159645$ |
$1$ |
|
$4$ |
$4325376$ |
$2.206505$ |
$590589719/972405$ |
$0.94478$ |
$3.93149$ |
$[1, 1, 1, 231162, 58204656]$ |
\(y^2+xy+y=x^3+x^2+231162x+58204656\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0.h.1, 92.12.0.?, 168.12.0.?, $\ldots$ |
$[(-171, 3788)]$ |
$1$ |
| 277725.s1 |
277725s1 |
277725.s |
277725s |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{3} \cdot 7^{9} \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1.322839212$ |
$1$ |
|
$10$ |
$642816$ |
$1.348091$ |
$1739565922747/1089547389$ |
$0.97896$ |
$3.13410$ |
$[1, 1, 1, 10132, -108394]$ |
\(y^2+xy+y=x^3+x^2+10132x-108394\) |
420.2.0.? |
$[(320, 5842), (26, 403)]$ |
$1$ |
| 277725.t1 |
277725t4 |
277725.t |
277725t |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{4} \cdot 5^{7} \cdot 7 \cdot 23^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$19320$ |
$48$ |
$0$ |
$23.96558109$ |
$1$ |
|
$0$ |
$17842176$ |
$2.890800$ |
$8753151307882969/65205$ |
$0.93948$ |
$5.19992$ |
$[1, 1, 1, -56781813, -164711673594]$ |
\(y^2+xy+y=x^3+x^2-56781813x-164711673594\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 1610.6.0.?, 2760.24.0.?, $\ldots$ |
$[(-1291019317649/17226, 11224340157145663/17226)]$ |
$1$ |
| 277725.t2 |
277725t2 |
277725.t |
277725t |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$9660$ |
$48$ |
$0$ |
$11.98279054$ |
$1$ |
|
$2$ |
$8921088$ |
$2.544228$ |
$2141202151369/5832225$ |
$0.88338$ |
$4.53648$ |
$[1, 1, 1, -3551188, -2571189844]$ |
\(y^2+xy+y=x^3+x^2-3551188x-2571189844\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 84.24.0.?, 1380.24.0.?, 3220.24.0.?, $\ldots$ |
$[(-3709425/58, 560920519/58)]$ |
$1$ |
| 277725.t3 |
277725t3 |
277725.t |
277725t |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{10} \cdot 7 \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$19320$ |
$48$ |
$0$ |
$23.96558109$ |
$1$ |
|
$0$ |
$17842176$ |
$2.890800$ |
$-483551781049/3672913125$ |
$0.91701$ |
$4.62902$ |
$[1, 1, 1, -2162563, -4601359594]$ |
\(y^2+xy+y=x^3+x^2-2162563x-4601359594\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(484615695495/11426, 290061794445082427/11426)]$ |
$1$ |
| 277725.t4 |
277725t1 |
277725.t |
277725t |
$4$ |
$4$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3 \cdot 5^{7} \cdot 7^{4} \cdot 23^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$19320$ |
$48$ |
$0$ |
$5.991395273$ |
$1$ |
|
$3$ |
$4460544$ |
$2.197655$ |
$1439069689/828345$ |
$0.89965$ |
$3.95367$ |
$[1, 1, 1, -311063, -5010844]$ |
\(y^2+xy+y=x^3+x^2-311063x-5010844\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 690.6.0.?, 1380.24.0.?, $\ldots$ |
$[(-1945/2, 46891/2)]$ |
$1$ |
| 277725.u1 |
277725u1 |
277725.u |
277725u |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{8} \cdot 7^{6} \cdot 23^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8640000$ |
$2.471027$ |
$-330030232003585/352947$ |
$0.99157$ |
$4.69490$ |
$[1, 0, 0, -6883888, -6952404733]$ |
\(y^2+xy=x^3-6883888x-6952404733\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 277725.v1 |
277725v1 |
277725.v |
277725v |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{9} \cdot 7 \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3974400$ |
$2.283764$ |
$-157757/21$ |
$0.72865$ |
$4.12822$ |
$[1, 0, 0, -602013, 199344642]$ |
\(y^2+xy=x^3-602013x+199344642\) |
420.2.0.? |
$[ ]$ |
$1$ |
| 277725.w1 |
277725w1 |
277725.w |
277725w |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{17} \cdot 5^{8} \cdot 7^{8} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$900864000$ |
$4.744690$ |
$-4600960861615178785/744467340802563$ |
$1.00898$ |
$6.47649$ |
$[1, 0, 0, -10836836388, 491177662455267]$ |
\(y^2+xy=x^3-10836836388x+491177662455267\) |
6.2.0.a.1 |
$[ ]$ |
$1$ |
| 277725.x1 |
277725x1 |
277725.x |
277725x |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{17} \cdot 5^{8} \cdot 7^{8} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.446052883$ |
$1$ |
|
$6$ |
$39168000$ |
$3.176941$ |
$-4600960861615178785/744467340802563$ |
$1.00898$ |
$4.97558$ |
$[1, 0, 0, -20485513, -40371442108]$ |
\(y^2+xy=x^3-20485513x-40371442108\) |
6.2.0.a.1 |
$[(44627, 9354449)]$ |
$1$ |
| 277725.y1 |
277725y1 |
277725.y |
277725y |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$420$ |
$2$ |
$0$ |
$7.985504946$ |
$1$ |
|
$0$ |
$172800$ |
$0.716019$ |
$-157757/21$ |
$0.72865$ |
$2.62731$ |
$[1, 0, 0, -1138, -16483]$ |
\(y^2+xy=x^3-1138x-16483\) |
420.2.0.? |
$[(1957/7, 9136/7)]$ |
$1$ |
| 277725.z1 |
277725z1 |
277725.z |
277725z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 7^{8} \cdot 23^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$1.291983745$ |
$1$ |
|
$3$ |
$27979776$ |
$3.070217$ |
$24412471425434357/1893789011709$ |
$0.96628$ |
$4.89654$ |
$[1, 0, 0, -15985333, 22890328832]$ |
\(y^2+xy=x^3-15985333x+22890328832\) |
2.3.0.a.1, 20.6.0.b.1, 276.6.0.?, 690.6.0.?, 1380.12.0.? |
$[(21917, 3182879)]$ |
$1$ |
| 277725.z2 |
277725z2 |
277725.z |
277725z |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{4} \cdot 23^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1380$ |
$12$ |
$0$ |
$2.583967491$ |
$1$ |
|
$2$ |
$55959552$ |
$3.416790$ |
$23429746579698523/259111509557481$ |
$1.00262$ |
$5.12435$ |
$[1, 0, 0, 15767892, 102559170357]$ |
\(y^2+xy=x^3+15767892x+102559170357\) |
2.3.0.a.1, 20.6.0.a.1, 276.6.0.?, 1380.12.0.? |
$[(-1428, 278439)]$ |
$1$ |
| 277725.ba1 |
277725ba1 |
277725.ba |
277725ba |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3 \cdot 5^{9} \cdot 7 \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$15.28596716$ |
$1$ |
|
$1$ |
$10137600$ |
$2.722107$ |
$1365045221357/11109$ |
$0.90244$ |
$4.88577$ |
$[1, 0, 0, -15281763, 22992235392]$ |
\(y^2+xy=x^3-15281763x+22992235392\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(102309493/51, 1027309277030/51)]$ |
$1$ |
| 277725.ba2 |
277725ba2 |
277725.ba |
277725ba |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 7^{2} \cdot 23^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$7.642983580$ |
$1$ |
|
$0$ |
$20275200$ |
$3.068680$ |
$-1278348920477/123409881$ |
$0.90464$ |
$4.89284$ |
$[1, 0, 0, -14951138, 24034696017]$ |
\(y^2+xy=x^3-14951138x+24034696017\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(1413493/3, 1677884573/3)]$ |
$1$ |
| 277725.bb1 |
277725bb1 |
277725.bb |
277725bb |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{8} \cdot 7^{6} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$18.52148843$ |
$1$ |
|
$0$ |
$198720000$ |
$4.038773$ |
$-330030232003585/352947$ |
$0.99157$ |
$6.19581$ |
$[1, 0, 0, -3641576763, 84582625232892]$ |
\(y^2+xy=x^3-3641576763x+84582625232892\) |
6.2.0.a.1 |
$[(1204617619/162, 15889074044815/162)]$ |
$1$ |
| 277725.bc1 |
277725bc1 |
277725.bc |
277725bc |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( 3^{3} \cdot 5^{3} \cdot 7 \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$2.418318524$ |
$1$ |
|
$5$ |
$608256$ |
$1.176529$ |
$5177717/189$ |
$0.97949$ |
$3.11951$ |
$[1, 0, 0, -9533, -347568]$ |
\(y^2+xy=x^3-9533x-347568\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[(-53, 124)]$ |
$1$ |
| 277725.bc2 |
277725bc2 |
277725.bc |
277725bc |
$2$ |
$2$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 23^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1.209159262$ |
$1$ |
|
$6$ |
$1216512$ |
$1.523104$ |
$300763/35721$ |
$1.11388$ |
$3.31684$ |
$[1, 0, 0, 3692, -1233643]$ |
\(y^2+xy=x^3+3692x-1233643\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[(113, 737)]$ |
$1$ |
| 277725.bd1 |
277725bd1 |
277725.bd |
277725bd |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 7 \cdot 23^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$2.788162485$ |
$1$ |
|
$8$ |
$221184$ |
$0.802464$ |
$-48234496/7875$ |
$0.89644$ |
$2.70198$ |
$[0, -1, 1, -1533, -25657]$ |
\(y^2+y=x^3-x^2-1533x-25657\) |
70.2.0.a.1 |
$[(47, 62), (57, 262)]$ |
$1$ |
| 277725.be1 |
277725be1 |
277725.be |
277725be |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{13} \cdot 5^{12} \cdot 7^{5} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$118609920$ |
$4.122414$ |
$2744564518708084736/9629735831296875$ |
$1.02481$ |
$5.78789$ |
$[0, -1, 1, 385755617, 6561607023918]$ |
\(y^2+y=x^3-x^2+385755617x+6561607023918\) |
966.2.0.? |
$[ ]$ |
$1$ |
| 277725.bf1 |
277725bf1 |
277725.bf |
277725bf |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{7} \cdot 7^{3} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17169408$ |
$3.069794$ |
$-7079867613184/1250235$ |
$0.95783$ |
$5.13221$ |
$[0, -1, 1, -42787283, 107756610218]$ |
\(y^2+y=x^3-x^2-42787283x+107756610218\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 42.8.0-3.a.1.2, 70.2.0.a.1, 210.16.0.? |
$[ ]$ |
$1$ |
| 277725.bf2 |
277725bf2 |
277725.bf |
277725bf |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{2} \cdot 5^{9} \cdot 7^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$210$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51508224$ |
$3.619099$ |
$154786758656/45397807875$ |
$1.05130$ |
$5.32392$ |
$[0, -1, 1, 11964217, 358231034843]$ |
\(y^2+y=x^3-x^2+11964217x+358231034843\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 42.8.0-3.a.1.1, 70.2.0.a.1, 210.16.0.? |
$[ ]$ |
$1$ |
| 277725.bg1 |
277725bg1 |
277725.bg |
277725bg |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{5} \cdot 23^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$22.40438057$ |
$1$ |
|
$0$ |
$17487360$ |
$3.061058$ |
$8875147264/12252303$ |
$1.13955$ |
$4.74023$ |
$[0, -1, 1, 7462427, -9238341702]$ |
\(y^2+y=x^3-x^2+7462427x-9238341702\) |
70.2.0.a.1 |
$[(14658329197/2578, 2295161271176467/2578)]$ |
$1$ |
| 277725.bh1 |
277725bh1 |
277725.bh |
277725bh |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{6} \cdot 5^{3} \cdot 7^{5} \cdot 23^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.436238371$ |
$1$ |
|
$14$ |
$760320$ |
$1.493309$ |
$8875147264/12252303$ |
$1.13955$ |
$3.23932$ |
$[0, -1, 1, 14107, 754388]$ |
\(y^2+y=x^3-x^2+14107x+754388\) |
70.2.0.a.1 |
$[(-38, 402), (653/2, 21731/2)]$ |
$1$ |
| 277725.bi1 |
277725bi1 |
277725.bi |
277725bi |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{5} \cdot 5^{8} \cdot 7^{3} \cdot 23^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$966$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7603200$ |
$2.525208$ |
$1310720/1917027$ |
$1.02296$ |
$4.27696$ |
$[0, -1, 1, 88167, 506436068]$ |
\(y^2+y=x^3-x^2+88167x+506436068\) |
966.2.0.? |
$[ ]$ |
$1$ |
| 277725.bj1 |
277725bj1 |
277725.bj |
277725bj |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 7^{3} \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$1.871782833$ |
$1$ |
|
$2$ |
$5474304$ |
$2.347561$ |
$-1073741824/5325075$ |
$1.05379$ |
$4.11050$ |
$[0, -1, 1, -282133, -178341207]$ |
\(y^2+y=x^3-x^2-282133x-178341207\) |
3.4.0.a.1, 210.8.0.?, 345.8.0.?, 966.8.0.?, 4830.16.0.? |
$[(5597, 416587)]$ |
$1$ |
| 277725.bj2 |
277725bj2 |
277725.bj |
277725bj |
$2$ |
$3$ |
\( 3 \cdot 5^{2} \cdot 7 \cdot 23^{2} \) |
\( - 3 \cdot 5^{12} \cdot 7 \cdot 23^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4830$ |
$16$ |
$0$ |
$5.615348501$ |
$1$ |
|
$0$ |
$16422912$ |
$2.896866$ |
$742692847616/3992296875$ |
$0.94885$ |
$4.62073$ |
$[0, -1, 1, 2495117, 4366628418]$ |
\(y^2+y=x^3-x^2+2495117x+4366628418\) |
3.4.0.a.1, 210.8.0.?, 345.8.0.?, 966.8.0.?, 4830.16.0.? |
$[(268388/7, 146460091/7)]$ |
$1$ |
