| 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 |
| 459186.a1 |
459186a2 |
459186.a |
459186a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{5} \cdot 3^{18} \cdot 7^{3} \cdot 13^{3} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$63336$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$342558720$ |
$3.844074$ |
$235254645262548068204076769349/9342363050119008$ |
$1.05106$ |
$5.96235$ |
$[1, 1, 0, -3729662177, 87668718821205]$ |
\(y^2+xy=x^3+x^2-3729662177x+87668718821205\) |
2.3.0.a.1, 348.6.0.?, 2184.6.0.?, 21112.6.0.?, 63336.12.0.? |
$[ ]$ |
| 459186.a2 |
459186a1 |
459186.a |
459186a |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{10} \cdot 3^{9} \cdot 7^{6} \cdot 13^{6} \cdot 29^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$63336$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$171279360$ |
$3.497501$ |
$-57426975723512548190282309/11445627379633155072$ |
$1.03308$ |
$5.32436$ |
$[1, 1, 0, -233092737, 1369888472565]$ |
\(y^2+xy=x^3+x^2-233092737x+1369888472565\) |
2.3.0.a.1, 174.6.0.?, 2184.6.0.?, 21112.6.0.?, 63336.12.0.? |
$[ ]$ |
| 459186.b1 |
459186b1 |
459186.b |
459186b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2 \cdot 3^{7} \cdot 7^{4} \cdot 13 \cdot 29^{15} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1364912640$ |
$4.466164$ |
$-2038763327083572328197841/1980597708086151250278$ |
$1.00267$ |
$5.91871$ |
$[1, 1, 0, -2221657102, 65965921814530]$ |
\(y^2+xy=x^3+x^2-2221657102x+65965921814530\) |
9048.2.0.? |
$[ ]$ |
| 459186.c1 |
459186c1 |
459186.c |
459186c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{4} \cdot 3^{5} \cdot 7^{3} \cdot 13^{7} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$6.277776158$ |
$1$ |
|
$2$ |
$283550400$ |
$3.769192$ |
$-19011700351386020041/83680418294928$ |
$1.08316$ |
$5.47184$ |
$[1, 1, 0, -441394662, -3583078785180]$ |
\(y^2+xy=x^3+x^2-441394662x-3583078785180\) |
1092.2.0.? |
$[(82768, 22912870)]$ |
| 459186.d1 |
459186d2 |
459186.d |
459186d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{3} \cdot 3 \cdot 7 \cdot 13^{3} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63336$ |
$16$ |
$0$ |
$10.02250480$ |
$1$ |
|
$0$ |
$26127360$ |
$2.699680$ |
$343613355239411713/9001882344$ |
$0.93213$ |
$4.64686$ |
$[1, 1, 0, -12271889, -16551586419]$ |
\(y^2+xy=x^3+x^2-12271889x-16551586419\) |
3.4.0.a.1, 87.8.0.?, 2184.8.0.?, 63336.16.0.? |
$[(-4278053/46, 39505035/46)]$ |
| 459186.d2 |
459186d1 |
459186.d |
459186d |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 7^{3} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63336$ |
$16$ |
$0$ |
$3.340834934$ |
$1$ |
|
$0$ |
$8709120$ |
$2.150372$ |
$3359498792833/1787595264$ |
$0.88895$ |
$3.76205$ |
$[1, 1, 0, -262409, 14572869]$ |
\(y^2+xy=x^3+x^2-262409x+14572869\) |
3.4.0.a.1, 87.8.0.?, 2184.8.0.?, 63336.16.0.? |
$[(-1877/2, 48973/2)]$ |
| 459186.e1 |
459186e6 |
459186.e |
459186e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{6} \cdot 3 \cdot 7^{6} \cdot 13^{16} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$12386304000$ |
$5.834419$ |
$4785248917621471258548792495897697/435894213304313439033688512$ |
$1.04382$ |
$7.49812$ |
$[1, 1, 0, -2952497938071, -1952534016650280171]$ |
\(y^2+xy=x^3+x^2-2952497938071x-1952534016650280171\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0.e.2, $\ldots$ |
$[ ]$ |
| 459186.e2 |
459186e3 |
459186.e |
459186e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{3} \cdot 13^{2} \cdot 29^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$6193152000$ |
$5.487846$ |
$225200652891919039722467527495777/779282266700773756956672$ |
$1.03827$ |
$7.26369$ |
$[1, 1, 0, -1065969160151, 423607187219135829]$ |
\(y^2+xy=x^3+x^2-1065969160151x+423607187219135829\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0-8.bb.1.8, $\ldots$ |
$[ ]$ |
| 459186.e3 |
459186e4 |
459186.e |
459186e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7^{12} \cdot 13^{8} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$6193152000$ |
$5.487846$ |
$1441688687623071312331600957537/350043285791839275991240704$ |
$1.03235$ |
$6.87625$ |
$[1, 1, 0, -197930135511, -25822368730981035]$ |
\(y^2+xy=x^3+x^2-197930135511x-25822368730981035\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0-4.b.1.2, 24.48.0-8.e.1.8, $\ldots$ |
$[ ]$ |
| 459186.e4 |
459186e2 |
459186.e |
459186e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{24} \cdot 3^{4} \cdot 7^{6} \cdot 13^{4} \cdot 29^{10} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$4872$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$3096576000$ |
$5.141273$ |
$57343440142077113667584594017/3229673021504558374846464$ |
$1.02188$ |
$6.62892$ |
$[1, 1, 0, -67564101591, 6422235732757845]$ |
\(y^2+xy=x^3+x^2-67564101591x+6422235732757845\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0-8.e.2.8, 28.24.0.c.1, $\ldots$ |
$[ ]$ |
| 459186.e5 |
459186e1 |
459186.e |
459186e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{48} \cdot 3^{2} \cdot 7^{3} \cdot 13^{2} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1548288000$ |
$4.794701$ |
$4940514904764290195189663/123497771750673547788288$ |
$1.08670$ |
$6.19807$ |
$[1, 1, 0, 2984091689, 407564856839509]$ |
\(y^2+xy=x^3+x^2+2984091689x+407564856839509\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[ ]$ |
| 459186.e6 |
459186e5 |
459186.e |
459186e |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{24} \cdot 13^{4} \cdot 29^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$9744$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$12386304000$ |
$5.834419$ |
$19399603336520281565614173772703/30466712627395269789984358848$ |
$1.04382$ |
$7.11696$ |
$[1, 1, 0, 470781124329, -162762799170291819]$ |
\(y^2+xy=x^3+x^2+470781124329x-162762799170291819\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 12.12.0-4.c.1.1, 24.48.0-8.bb.2.3, $\ldots$ |
$[ ]$ |
| 459186.f1 |
459186f6 |
459186.f |
459186f |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2 \cdot 3 \cdot 7 \cdot 13^{8} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$126672$ |
$192$ |
$1$ |
$10.50555083$ |
$1$ |
|
$0$ |
$86016000$ |
$3.351196$ |
$746387736968472436657/28813240527162$ |
$0.96662$ |
$5.23621$ |
$[1, 1, 0, -158931356, -771232469154]$ |
\(y^2+xy=x^3+x^2-158931356x-771232469154\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 116.12.0.?, 168.48.0.?, $\ldots$ |
$[(877039/5, 756405802/5)]$ |
| 459186.f2 |
459186f4 |
459186.f |
459186f |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{4} \cdot 29^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$63336$ |
$192$ |
$1$ |
$5.252775415$ |
$1$ |
|
$6$ |
$43008000$ |
$3.004623$ |
$209280938961918097/35633951258724$ |
$0.93334$ |
$4.60883$ |
$[1, 1, 0, -10402346, -10853055360]$ |
\(y^2+xy=x^3+x^2-10402346x-10853055360\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 104.48.0.?, 116.24.0.?, $\ldots$ |
$[(-1385, 30690)]$ |
| 459186.f3 |
459186f2 |
459186.f |
459186f |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13^{2} \cdot 29^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$63336$ |
$192$ |
$1$ |
$2.626387707$ |
$1$ |
|
$8$ |
$21504000$ |
$2.658051$ |
$4943668694576977/442262240784$ |
$0.91025$ |
$4.32153$ |
$[1, 1, 0, -2984726, 1823657220]$ |
\(y^2+xy=x^3+x^2-2984726x+1823657220\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 52.24.0-4.b.1.2, 104.48.0.?, $\ldots$ |
$[(379, 27143)]$ |
| 459186.f4 |
459186f1 |
459186.f |
459186f |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{8} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$126672$ |
$192$ |
$1$ |
$1.313193853$ |
$1$ |
|
$5$ |
$10752000$ |
$2.311478$ |
$4616835877167697/42561792$ |
$0.90791$ |
$4.31628$ |
$[1, 1, 0, -2917446, 1916786196]$ |
\(y^2+xy=x^3+x^2-2917446x+1916786196\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 52.12.0-4.c.1.2, $\ldots$ |
$[(1713, 43296)]$ |
| 459186.f5 |
459186f3 |
459186.f |
459186f |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{2} \cdot 3^{8} \cdot 7^{8} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$126672$ |
$192$ |
$1$ |
$1.313193853$ |
$1$ |
|
$6$ |
$43008000$ |
$3.004623$ |
$7030109576481263/57036871916388$ |
$0.94606$ |
$4.54539$ |
$[1, 1, 0, 3356414, 8541460936]$ |
\(y^2+xy=x^3+x^2+3356414x+8541460936\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 52.12.0-4.c.1.1, 104.48.0.?, $\ldots$ |
$[(-926, 68584)]$ |
| 459186.f6 |
459186f5 |
459186.f |
459186f |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{2} \cdot 29^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$126672$ |
$192$ |
$1$ |
$10.50555083$ |
$4$ |
$2$ |
$2$ |
$86016000$ |
$3.351196$ |
$1366917738131980943/3550749039197178$ |
$0.95935$ |
$4.84861$ |
$[1, 1, 0, 19444744, -61634894286]$ |
\(y^2+xy=x^3+x^2+19444744x-61634894286\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 104.24.0.?, $\ldots$ |
$[(33937, 6282684)]$ |
| 459186.g1 |
459186g1 |
459186.g |
459186g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{16} \cdot 3^{5} \cdot 7^{4} \cdot 13^{5} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$957696000$ |
$4.595276$ |
$-7569067430156117089/14196952386699264$ |
$1.01223$ |
$6.02801$ |
$[1, 1, 0, -3065016948, 134503664870736]$ |
\(y^2+xy=x^3+x^2-3065016948x+134503664870736\) |
78.2.0.? |
$[ ]$ |
| 459186.h1 |
459186h2 |
459186.h |
459186h |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{7} \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$63336$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$188776224$ |
$3.730194$ |
$-5486773802537974663600129/2635437714$ |
$1.05935$ |
$5.91907$ |
$[1, 1, 0, -3090251153, -66122191120209]$ |
\(y^2+xy=x^3+x^2-3090251153x-66122191120209\) |
7.24.0.a.2, 203.48.0.?, 2184.48.2.?, 63336.96.2.? |
$[ ]$ |
| 459186.h2 |
459186h1 |
459186.h |
459186h |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 29^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$63336$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$26968032$ |
$2.757240$ |
$40251338884511/2997011332224$ |
$1.03878$ |
$4.32449$ |
$[1, 1, 0, 600457, -2023244139]$ |
\(y^2+xy=x^3+x^2+600457x-2023244139\) |
7.24.0.a.1, 203.48.0.?, 2184.48.2.?, 63336.96.2.? |
$[ ]$ |
| 459186.i1 |
459186i1 |
459186.i |
459186i |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{8} \cdot 3 \cdot 7^{4} \cdot 13 \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$1.255336455$ |
$1$ |
|
$4$ |
$506880$ |
$0.712530$ |
$-199225235329/23971584$ |
$0.86424$ |
$2.52671$ |
$[1, 1, 0, -1148, -16944]$ |
\(y^2+xy=x^3+x^2-1148x-16944\) |
78.2.0.? |
$[(40, 36)]$ |
| 459186.j1 |
459186j1 |
459186.j |
459186j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{11} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$63336$ |
$2$ |
$0$ |
$3.099647578$ |
$1$ |
|
$2$ |
$1774080$ |
$1.368839$ |
$75263696759861/850397184$ |
$0.92339$ |
$3.22568$ |
$[1, 1, 0, -25508, 1542096]$ |
\(y^2+xy=x^3+x^2-25508x+1542096\) |
63336.2.0.? |
$[(31, 869)]$ |
| 459186.k1 |
459186k1 |
459186.k |
459186k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{7} \cdot 3^{11} \cdot 7^{2} \cdot 13^{3} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4346496$ |
$1.897785$ |
$2490568928875/2441011966848$ |
$1.01377$ |
$3.53446$ |
$[1, 1, 0, 8190, -11732364]$ |
\(y^2+xy=x^3+x^2+8190x-11732364\) |
9048.2.0.? |
$[ ]$ |
| 459186.l1 |
459186l1 |
459186.l |
459186l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{5} \cdot 3^{4} \cdot 7^{5} \cdot 13^{3} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21112$ |
$2$ |
$0$ |
$2.756173509$ |
$1$ |
|
$0$ |
$136416000$ |
$3.705490$ |
$-1986714170298828125/95709545568$ |
$1.05654$ |
$5.55631$ |
$[1, 1, 0, -638750450, 6213616094484]$ |
\(y^2+xy=x^3+x^2-638750450x+6213616094484\) |
21112.2.0.? |
$[(369539/5, 4453927/5)]$ |
| 459186.m1 |
459186m1 |
459186.m |
459186m |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{6} \cdot 3^{7} \cdot 7^{4} \cdot 13^{11} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$4.403843417$ |
$1$ |
|
$6$ |
$69189120$ |
$3.236774$ |
$820042249883887706995199/602279099584202529216$ |
$1.02835$ |
$4.74014$ |
$[1, 1, 0, 18406428, 15775847568]$ |
\(y^2+xy=x^3+x^2+18406428x+15775847568\) |
78.2.0.? |
$[(12112/3, 5579788/3), (2848, 300748)]$ |
| 459186.n1 |
459186n1 |
459186.n |
459186n |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{12} \cdot 3 \cdot 7 \cdot 13^{2} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$2.810441936$ |
$1$ |
|
$8$ |
$345600$ |
$0.627556$ |
$28053488401/14536704$ |
$0.87588$ |
$2.36185$ |
$[1, 1, 0, -597, -2067]$ |
\(y^2+xy=x^3+x^2-597x-2067\) |
42.2.0.a.1 |
$[(-22, 43), (-134/3, 1865/3)]$ |
| 459186.o1 |
459186o1 |
459186.o |
459186o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{2} \cdot 3 \cdot 7^{3} \cdot 13^{2} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15033600$ |
$2.621548$ |
$1489882801/695604$ |
$1.11979$ |
$4.20296$ |
$[1, 1, 0, -1782937, -403535327]$ |
\(y^2+xy=x^3+x^2-1782937x-403535327\) |
42.2.0.a.1 |
$[ ]$ |
| 459186.p1 |
459186p1 |
459186.p |
459186p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{16} \cdot 13^{5} \cdot 29^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$0.501540766$ |
$1$ |
|
$0$ |
$162816000$ |
$3.721760$ |
$-4754200117979784704208552241/37905882593215070493696$ |
$1.03375$ |
$5.40584$ |
$[1, 1, 0, -330661207, 2330068274773]$ |
\(y^2+xy=x^3+x^2-330661207x+2330068274773\) |
78.2.0.? |
$[(104686/3, 6335275/3)]$ |
| 459186.q1 |
459186q2 |
459186.q |
459186q |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$316680$ |
$48$ |
$1$ |
$10.11047167$ |
$25$ |
$5$ |
$0$ |
$336000000$ |
$4.099266$ |
$818901045522640857815176321/11199087354$ |
$1.01074$ |
$6.30302$ |
$[1, 1, 0, -16391998297, -807792164146877]$ |
\(y^2+xy=x^3+x^2-16391998297x-807792164146877\) |
5.12.0.a.2, 145.24.0.?, 10920.24.0.?, 63336.2.0.?, 316680.48.1.? |
$[(-977582661/115, 56210902508/115)]$ |
| 459186.q2 |
459186q1 |
459186.q |
459186q |
$2$ |
$5$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{5} \cdot 3^{5} \cdot 7^{5} \cdot 13^{5} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$316680$ |
$48$ |
$1$ |
$2.022094335$ |
$1$ |
|
$4$ |
$67200000$ |
$3.294548$ |
$4490173250235298081/1407217448486304$ |
$0.95292$ |
$4.84400$ |
$[1, 1, 0, -28905187, -40512120467]$ |
\(y^2+xy=x^3+x^2-28905187x-40512120467\) |
5.12.0.a.1, 145.24.0.?, 10920.24.0.?, 63336.2.0.?, 316680.48.1.? |
$[(-1767, 71948)]$ |
| 459186.r1 |
459186r3 |
459186.r |
459186r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2 \cdot 3 \cdot 7^{4} \cdot 13 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$63336$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$1.807621$ |
$8020417344913/187278$ |
$0.95653$ |
$3.82879$ |
$[1, 1, 0, -350714, 79794942]$ |
\(y^2+xy=x^3+x^2-350714x+79794942\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.bb.1, 232.12.0.?, 312.12.0.?, $\ldots$ |
$[ ]$ |
| 459186.r2 |
459186r2 |
459186.r |
459186r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$63336$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2322432$ |
$1.461046$ |
$2181825073/298116$ |
$0.95664$ |
$3.19909$ |
$[1, 1, 0, -22724, 1142940]$ |
\(y^2+xy=x^3+x^2-22724x+1142940\) |
2.6.0.a.1, 56.12.0.a.1, 232.12.0.?, 312.12.0.?, 812.12.0.?, $\ldots$ |
$[ ]$ |
| 459186.r3 |
459186r1 |
459186.r |
459186r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$63336$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$1161216$ |
$1.114473$ |
$38272753/4368$ |
$0.84174$ |
$2.88896$ |
$[1, 1, 0, -5904, -158928]$ |
\(y^2+xy=x^3+x^2-5904x-158928\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.bb.1, 232.12.0.?, 312.12.0.?, $\ldots$ |
$[ ]$ |
| 459186.r4 |
459186r4 |
459186.r |
459186r |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2 \cdot 3^{4} \cdot 7 \cdot 13^{4} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$63336$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4644864$ |
$1.807621$ |
$8780064047/32388174$ |
$1.00545$ |
$3.43487$ |
$[1, 1, 0, 36146, 6146890]$ |
\(y^2+xy=x^3+x^2+36146x+6146890\) |
2.3.0.a.1, 4.6.0.c.1, 56.12.0.v.1, 232.12.0.?, 312.12.0.?, $\ldots$ |
$[ ]$ |
| 459186.s1 |
459186s2 |
459186.s |
459186s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{10} \cdot 7 \cdot 13 \cdot 29^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$290304000$ |
$3.926224$ |
$5762851946879949436033/3272968937100635136$ |
$1.01362$ |
$5.39299$ |
$[1, 1, 0, -314123609, -292344127515]$ |
\(y^2+xy=x^3+x^2-314123609x-292344127515\) |
2.3.0.a.1, 348.6.0.?, 364.6.0.?, 31668.12.0.? |
$[ ]$ |
| 459186.s2 |
459186s1 |
459186.s |
459186s |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{20} \cdot 3^{5} \cdot 7^{2} \cdot 13^{2} \cdot 29^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$1$ |
$16$ |
$2$ |
$1$ |
$145152000$ |
$3.579651$ |
$87267418871946300287/51461562131546112$ |
$0.99963$ |
$5.07158$ |
$[1, 1, 0, 77715111, -36316707867]$ |
\(y^2+xy=x^3+x^2+77715111x-36316707867\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[ ]$ |
| 459186.t1 |
459186t1 |
459186.t |
459186t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{11} \cdot 7 \cdot 13^{2} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$208243200$ |
$3.723415$ |
$1081499330456275002217/3353038416$ |
$0.99028$ |
$5.78122$ |
$[1, 1, 0, -1697574496, 26920304292208]$ |
\(y^2+xy=x^3+x^2-1697574496x+26920304292208\) |
42.2.0.a.1 |
$[ ]$ |
| 459186.u1 |
459186u1 |
459186.u |
459186u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{10} \cdot 3^{9} \cdot 7 \cdot 13^{2} \cdot 29^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$125280000$ |
$3.480671$ |
$10564575780603177817/23843828736$ |
$0.97232$ |
$5.42619$ |
$[1, 1, 0, -362886471, 2660594893173]$ |
\(y^2+xy=x^3+x^2-362886471x+2660594893173\) |
42.2.0.a.1 |
$[ ]$ |
| 459186.v1 |
459186v1 |
459186.v |
459186v |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{17} \cdot 3^{9} \cdot 7^{15} \cdot 13 \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$63336$ |
$2$ |
$0$ |
$34.33401146$ |
$1$ |
|
$0$ |
$9302791680$ |
$5.670403$ |
$319313630189237966445526973/159226434892949736259584$ |
$1.05486$ |
$7.00563$ |
$[1, 1, 0, -347289704496, 29298172168942848]$ |
\(y^2+xy=x^3+x^2-347289704496x+29298172168942848\) |
63336.2.0.? |
$[(7642019969214648527/11918009, 175624427166003706025915812304/11918009)]$ |
| 459186.w1 |
459186w2 |
459186.w |
459186w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{7} \cdot 3 \cdot 7^{3} \cdot 13^{3} \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63336$ |
$16$ |
$0$ |
$9.518749734$ |
$1$ |
|
$0$ |
$233694720$ |
$3.752579$ |
$5960390431020838621741297/8391766656$ |
$0.99717$ |
$5.92542$ |
$[1, 1, 0, -3176725296, -68916933794688]$ |
\(y^2+xy=x^3+x^2-3176725296x-68916933794688\) |
3.4.0.a.1, 87.8.0.?, 2184.8.0.?, 63336.16.0.? |
$[(-7973435819/495, 1973970380719/495)]$ |
| 459186.w2 |
459186w1 |
459186.w |
459186w |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$63336$ |
$16$ |
$0$ |
$28.55624920$ |
$1$ |
|
$0$ |
$77898240$ |
$3.203270$ |
$11306285207521130737/125669260394496$ |
$0.94919$ |
$4.91483$ |
$[1, 1, 0, -39324336, -94016625408]$ |
\(y^2+xy=x^3+x^2-39324336x-94016625408\) |
3.4.0.a.1, 87.8.0.?, 2184.8.0.?, 63336.16.0.? |
$[(-1392642141333779/599940, 3699738472667631658361/599940)]$ |
| 459186.x1 |
459186x1 |
459186.x |
459186x |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{10} \cdot 3 \cdot 7^{4} \cdot 13^{7} \cdot 29^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$78$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30240000$ |
$2.658401$ |
$-2231078688265767817/462825029581824$ |
$0.99462$ |
$4.29728$ |
$[1, 1, 0, -2425461, -1695597267]$ |
\(y^2+xy=x^3+x^2-2425461x-1695597267\) |
78.2.0.? |
$[ ]$ |
| 459186.y1 |
459186y1 |
459186.y |
459186y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{3} \cdot 3^{5} \cdot 7^{4} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1.304466481$ |
$1$ |
|
$4$ |
$12096000$ |
$2.142616$ |
$1023887723039/1759664088$ |
$0.86957$ |
$3.72291$ |
$[1, 0, 1, 176592, 40102582]$ |
\(y^2+xy+y=x^3+176592x+40102582\) |
9048.2.0.? |
$[(1520, 61053)]$ |
| 459186.z1 |
459186z1 |
459186.z |
459186z |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2 \cdot 3^{5} \cdot 7^{5} \cdot 13 \cdot 29^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$63336$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36288000$ |
$2.822460$ |
$49066887527994673/2589785621514$ |
$0.92276$ |
$4.49757$ |
$[1, 0, 1, -6414325, -5961374338]$ |
\(y^2+xy+y=x^3-6414325x-5961374338\) |
63336.2.0.? |
$[ ]$ |
| 459186.ba1 |
459186ba1 |
459186.ba |
459186ba |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{5} \cdot 7^{3} \cdot 13^{4} \cdot 29^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$42$ |
$2$ |
$0$ |
$0.147655086$ |
$1$ |
|
$28$ |
$2073600$ |
$1.377262$ |
$1633489793889073/38088492624$ |
$0.92872$ |
$3.20345$ |
$[1, 0, 1, -23160, 1327030]$ |
\(y^2+xy+y=x^3-23160x+1327030\) |
42.2.0.a.1 |
$[(-91, 1683), (77, 3)]$ |
| 459186.bb1 |
459186bb2 |
459186.bb |
459186bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{18} \cdot 3 \cdot 7^{3} \cdot 13^{6} \cdot 29^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$42$ |
$16$ |
$0$ |
$7.414006733$ |
$1$ |
|
$0$ |
$460028160$ |
$4.034782$ |
$685193929756685418553/1302013270032384$ |
$0.98867$ |
$5.74621$ |
$[1, 0, 1, -1458001350, -21393078204008]$ |
\(y^2+xy+y=x^3-1458001350x-21393078204008\) |
3.8.0-3.a.1.1, 42.16.0-42.b.1.3 |
$[(196411/2, 40127323/2)]$ |
| 459186.bb2 |
459186bb1 |
459186.bb |
459186bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{9} \cdot 13^{2} \cdot 29^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$42$ |
$16$ |
$0$ |
$2.471335577$ |
$1$ |
|
$8$ |
$153342720$ |
$3.485474$ |
$103729341683356873/11784544559424$ |
$0.95356$ |
$5.07155$ |
$[1, 0, 1, -77705895, 236352346090]$ |
\(y^2+xy+y=x^3-77705895x+236352346090\) |
3.8.0-3.a.1.2, 42.16.0-42.b.1.4 |
$[(6422, 43608)]$ |
| 459186.bc1 |
459186bc1 |
459186.bc |
459186bc |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( - 2^{11} \cdot 3^{6} \cdot 7^{5} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$21112$ |
$2$ |
$0$ |
$0.381625438$ |
$1$ |
|
$6$ |
$31046400$ |
$2.852669$ |
$-29540882258497/9459954137088$ |
$0.96531$ |
$4.41340$ |
$[1, 0, 1, -541622, 3612295496]$ |
\(y^2+xy+y=x^3-541622x+3612295496\) |
21112.2.0.? |
$[(882, 61372)]$ |
| 459186.bd1 |
459186bd2 |
459186.bd |
459186bd |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 29^{2} \) |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \cdot 29^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$4524$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51609600$ |
$3.183968$ |
$16309477249391796625/54561953588688$ |
$0.95070$ |
$4.94293$ |
$[1, 0, 1, -44432571, -113672516618]$ |
\(y^2+xy+y=x^3-44432571x-113672516618\) |
2.3.0.a.1, 26.6.0.b.1, 348.6.0.?, 4524.12.0.? |
$[ ]$ |
