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 |
8350.b1 |
8350c1 |
8350.b |
8350c |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 167 \) |
\( - 2^{41} \cdot 5^{8} \cdot 167^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$7685040$ |
$4.216461$ |
$-1224751130206834971784807336585/61328559574089728$ |
$1.05423$ |
$9.09808$ |
$[1, 1, 0, -16294012950, -800559991923500]$ |
\(y^2+xy=x^3+x^2-16294012950x-800559991923500\) |
8.2.0.a.1 |
$[]$ |
13790.c1 |
13790a1 |
13790.c |
13790a |
$1$ |
$1$ |
\( 2 \cdot 5 \cdot 7 \cdot 197 \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{17} \cdot 197 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$11032$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$13069056$ |
$4.105766$ |
$-16218331296542558733817801028858329/5866011040701411712000000$ |
$1.09733$ |
$8.26416$ |
$[1, 1, 0, -5273441733, -147399479888563]$ |
\(y^2+xy=x^3+x^2-5273441733x-147399479888563\) |
11032.2.0.? |
$[]$ |
14570.b1 |
14570c2 |
14570.b |
14570c |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 31 \cdot 47 \) |
\( 2^{17} \cdot 5^{4} \cdot 31^{10} \cdot 47^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$11656$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$35544960$ |
$4.743477$ |
$42253500307489549085309378703977943081/6971086245003894966108160000$ |
$1.07690$ |
$9.03716$ |
$[1, -1, 0, -72562626349, -7523440565669595]$ |
\(y^2+xy=x^3-x^2-72562626349x-7523440565669595\) |
2.3.0.a.1, 124.6.0.?, 376.6.0.?, 11656.12.0.? |
$[]$ |
14570.b2 |
14570c1 |
14570.b |
14570c |
$2$ |
$2$ |
\( 2 \cdot 5 \cdot 31 \cdot 47 \) |
\( - 2^{34} \cdot 5^{2} \cdot 31^{5} \cdot 47^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$11656$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$17772480$ |
$4.396896$ |
$-10220698241677809252897665463685161/132542597689256859264247398400$ |
$1.09357$ |
$8.17087$ |
$[1, -1, 0, -4521185069, -118313603419867]$ |
\(y^2+xy=x^3-x^2-4521185069x-118313603419867\) |
2.3.0.a.1, 62.6.0.b.1, 376.6.0.?, 11656.12.0.? |
$[]$ |
20806.a1 |
20806a1 |
20806.a |
20806a |
$1$ |
$1$ |
\( 2 \cdot 101 \cdot 103 \) |
\( - 2 \cdot 101^{9} \cdot 103^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$808$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$10761840$ |
$3.730568$ |
$-261802076321885487677230390283017/23205814115816769597418$ |
$1.01910$ |
$7.50731$ |
$[1, 1, 0, -1332753376, -18727754685966]$ |
\(y^2+xy=x^3+x^2-1332753376x-18727754685966\) |
808.2.0.? |
$[]$ |
30940.i1 |
30940a2 |
30940.i |
30940a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{8} \cdot 5^{3} \cdot 7^{5} \cdot 13^{6} \cdot 17^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$30940$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$24105600$ |
$4.084496$ |
$501543207378280378453166716624/20443231220842711501185875$ |
$1.00347$ |
$7.15030$ |
$[0, -1, 0, -1051013276, -12644113957240]$ |
\(y^2=x^3-x^2-1051013276x-12644113957240\) |
2.3.0.a.1, 140.6.0.?, 884.6.0.?, 30940.12.0.? |
$[]$ |
30940.i2 |
30940a1 |
30940.i |
30940a |
$2$ |
$2$ |
\( 2^{2} \cdot 5 \cdot 7 \cdot 13 \cdot 17 \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{10} \cdot 13^{3} \cdot 17^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$30940$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$12052800$ |
$3.737923$ |
$7786479222357567962816246185984/13768134184121975328125$ |
$1.05766$ |
$7.14738$ |
$[0, -1, 0, -1040508901, -12918273942990]$ |
\(y^2=x^3-x^2-1040508901x-12918273942990\) |
2.3.0.a.1, 140.6.0.?, 442.6.0.?, 30940.12.0.? |
$[]$ |
36076.e1 |
36076b1 |
36076.e |
36076b |
$1$ |
$1$ |
\( 2^{2} \cdot 29 \cdot 311 \) |
\( - 2^{8} \cdot 29 \cdot 311^{12} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$768673440$ |
$5.400604$ |
$-23054876035437760894553158261652776272/23742293326733057692321762973309$ |
$1.05373$ |
$8.72720$ |
$[0, 0, 0, -376495406191, 88996660589749142]$ |
\(y^2=x^3-376495406191x+88996660589749142\) |
116.2.0.? |
$[]$ |
36166.k1 |
36166j1 |
36166.k |
36166j |
$1$ |
$1$ |
\( 2 \cdot 13^{2} \cdot 107 \) |
\( - 2^{11} \cdot 13^{11} \cdot 107^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$21288960$ |
$3.655537$ |
$-107567776305676303454953233/8705911924736$ |
$1.03772$ |
$7.17709$ |
$[1, -1, 0, -1674452623, -26372452349203]$ |
\(y^2+xy=x^3-x^2-1674452623x-26372452349203\) |
104.2.0.? |
$[]$ |
36762.k1 |
36762h1 |
36762.k |
36762h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11 \cdot 557 \) |
\( - 2^{3} \cdot 3^{17} \cdot 11^{3} \cdot 557^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$147048$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$120311856$ |
$4.700729$ |
$7883628121174964665731236786643407/22872610738183047839601956883432$ |
$1.04477$ |
$7.55689$ |
$[1, 1, 1, 4146364453, -205874482152751]$ |
\(y^2+xy+y=x^3+x^2+4146364453x-205874482152751\) |
147048.2.0.? |
$[]$ |
38088.x1 |
38088t1 |
38088.x |
38088t |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 23^{2} \) |
\( - 2^{11} \cdot 3^{9} \cdot 23^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$5829120$ |
$3.496609$ |
$-778918741604594/27$ |
$1.10990$ |
$6.97683$ |
$[0, 0, 0, -937309179, -11045170357450]$ |
\(y^2=x^3-937309179x-11045170357450\) |
24.2.0.b.1 |
$[]$ |
40755.s1 |
40755n2 |
40755.s |
40755n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 11 \cdot 13 \cdot 19 \) |
\( 3^{2} \cdot 5^{9} \cdot 11^{3} \cdot 13^{14} \cdot 19^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$110025216$ |
$4.718361$ |
$213357672928779855054292749281332969/12005270226838729381544630859375$ |
$1.02911$ |
$7.66328$ |
$[1, 0, 1, -12448819919, -507959927977849]$ |
\(y^2+xy+y=x^3-12448819919x-507959927977849\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
40755.s2 |
40755n1 |
40755.s |
40755n |
$2$ |
$2$ |
\( 3 \cdot 5 \cdot 11 \cdot 13 \cdot 19 \) |
\( - 3 \cdot 5^{18} \cdot 11^{6} \cdot 13^{7} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$55012608$ |
$4.371788$ |
$18322268616999519364697437417031/459248886274776729583740234375$ |
$1.03533$ |
$7.13409$ |
$[1, 0, 1, 549226956, -32226213134099]$ |
\(y^2+xy+y=x^3+549226956x-32226213134099\) |
2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.? |
$[]$ |
44082.e1 |
44082c1 |
44082.e |
44082c |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 31 \cdot 79 \) |
\( - 2^{29} \cdot 3^{6} \cdot 31^{5} \cdot 79^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$19592$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$194538960$ |
$4.971985$ |
$-12795940225564255724701259791602684657/7578087530905645088768$ |
$1.13011$ |
$8.60628$ |
$[1, -1, 0, -438556285311, -111785557494691315]$ |
\(y^2+xy=x^3-x^2-438556285311x-111785557494691315\) |
19592.2.0.? |
$[]$ |
49450.n1 |
49450k1 |
49450.n |
49450k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 23 \cdot 43 \) |
\( - 2 \cdot 5^{14} \cdot 23^{3} \cdot 43 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$7912$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$4170240$ |
$2.935692$ |
$-6117012899984274413660361/408735156250$ |
$1.00585$ |
$6.17370$ |
$[1, -1, 1, -95252980, -357797305103]$ |
\(y^2+xy+y=x^3-x^2-95252980x-357797305103\) |
7912.2.0.? |
$[]$ |
52416.bd1 |
52416dm1 |
52416.bd |
52416dm |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 13 \) |
\( - 2^{14} \cdot 3^{42} \cdot 7 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$56770560$ |
$4.142365$ |
$-588894491652244161881463808/13658611812026920011$ |
$1.07886$ |
$7.17183$ |
$[0, 0, 0, -3991661904, -97070538783584]$ |
\(y^2=x^3-3991661904x-97070538783584\) |
182.2.0.? |
$[]$ |
55660.y1 |
55660v1 |
55660.y |
55660v |
$1$ |
$1$ |
\( 2^{2} \cdot 5 \cdot 11^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5 \cdot 11^{8} \cdot 23^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$230$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$5488560$ |
$2.995621$ |
$387785308258304/9005763307315$ |
$1.01462$ |
$5.41906$ |
$[0, -1, 0, 2291095, -8350437610]$ |
\(y^2=x^3-x^2+2291095x-8350437610\) |
230.2.0.? |
$[]$ |
56144.w1 |
56144v1 |
56144.w |
56144v |
$1$ |
$1$ |
\( 2^{4} \cdot 11^{2} \cdot 29 \) |
\( - 2^{8} \cdot 11^{6} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$116$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$686400$ |
$1.699745$ |
$-48707390098512/29$ |
$1.02954$ |
$4.70473$ |
$[0, 0, 0, -584551, -172021102]$ |
\(y^2=x^3-584551x-172021102\) |
116.2.0.? |
$[]$ |
58029.a1 |
58029f1 |
58029.a |
58029f |
$1$ |
$1$ |
\( 3 \cdot 23 \cdot 29^{2} \) |
\( - 3 \cdot 23^{10} \cdot 29^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$267194400$ |
$4.688782$ |
$-17359228329020174848000/124279533640947$ |
$1.07244$ |
$7.73851$ |
$[0, 1, 1, -40419930348, -3127850678049700]$ |
\(y^2+y=x^3+x^2-40419930348x-3127850678049700\) |
6.2.0.a.1 |
$[]$ |
58558.f1 |
58558e1 |
58558.f |
58558e |
$1$ |
$1$ |
\( 2 \cdot 19 \cdot 23 \cdot 67 \) |
\( - 2^{5} \cdot 19^{3} \cdot 23^{3} \cdot 67 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$234232$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$7167600$ |
$3.203754$ |
$-31377371611337998277848406765713/178924203232$ |
$1.00015$ |
$6.60641$ |
$[1, 1, 1, -657099217, -6483550205681]$ |
\(y^2+xy+y=x^3+x^2-657099217x-6483550205681\) |
234232.2.0.? |
$[]$ |
61275.n1 |
61275j1 |
61275.n |
61275j |
$1$ |
$1$ |
\( 3 \cdot 5^{2} \cdot 19 \cdot 43 \) |
\( - 3 \cdot 5^{6} \cdot 19^{7} \cdot 43^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$4902$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$6078240$ |
$2.864353$ |
$-58192394268587511808/394220077776277131$ |
$1.02455$ |
$5.23527$ |
$[0, 1, 1, -2018308, -3934700081]$ |
\(y^2+y=x^3+x^2-2018308x-3934700081\) |
4902.2.0.? |
$[]$ |
61632.cm1 |
61632w1 |
61632.cm |
61632w |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 107 \) |
\( 2^{10} \cdot 3^{21} \cdot 107 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$642$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$14192640$ |
$3.786507$ |
$34993909913492972750379402496/1535333049$ |
$1.07431$ |
$7.18547$ |
$[0, 0, 0, -6181569372, -187066592189768]$ |
\(y^2=x^3-6181569372x-187066592189768\) |
642.2.0.? |
$[]$ |
63570.h1 |
63570g1 |
63570.h |
63570g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 163 \) |
\( 2^{50} \cdot 3^{2} \cdot 5^{11} \cdot 13^{3} \cdot 163^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$84760$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$335385600$ |
$4.800896$ |
$676763437815582200162934287192801209/28881357746004924825600000000000$ |
$1.03421$ |
$7.45962$ |
$[1, 0, 1, -18291011604, -916370352442094]$ |
\(y^2+xy+y=x^3-18291011604x-916370352442094\) |
2.3.0.a.1, 130.6.0.?, 1304.6.0.?, 84760.12.0.? |
$[]$ |
63570.h2 |
63570g2 |
63570.h |
63570g |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 5 \cdot 13 \cdot 163 \) |
\( - 2^{25} \cdot 3^{4} \cdot 5^{22} \cdot 13^{6} \cdot 163 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$84760$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$670771200$ |
$5.147469$ |
$82131819036400839567210851401482311/5098268738160000000000000000000000$ |
$1.05824$ |
$7.69081$ |
$[1, 0, 1, 9055850476, -3419286434941678]$ |
\(y^2+xy+y=x^3+9055850476x-3419286434941678\) |
2.3.0.a.1, 260.6.0.?, 1304.6.0.?, 84760.12.0.? |
$[]$ |
64945.a1 |
64945a2 |
64945.a |
64945a |
$2$ |
$2$ |
\( 5 \cdot 31 \cdot 419 \) |
\( 5^{11} \cdot 31^{2} \cdot 419^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$8516288$ |
$3.370407$ |
$1950574989793290830831533017529/1446270497894580078125$ |
$0.98241$ |
$6.29400$ |
$[1, 1, 0, -260303283, -1616577179452]$ |
\(y^2+xy=x^3+x^2-260303283x-1616577179452\) |
2.3.0.a.1, 10.6.0.a.1, 124.6.0.?, 620.12.0.? |
$[]$ |
64945.a2 |
64945a1 |
64945.a |
64945a |
$2$ |
$2$ |
\( 5 \cdot 31 \cdot 419 \) |
\( - 5^{22} \cdot 31 \cdot 419^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$620$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$4258144$ |
$3.023834$ |
$-466941102433713921376767529/12975671291351318359375$ |
$0.95919$ |
$5.54584$ |
$[1, 1, 0, -16162658, -25610382577]$ |
\(y^2+xy=x^3+x^2-16162658x-25610382577\) |
2.3.0.a.1, 20.6.0.c.1, 62.6.0.b.1, 620.12.0.? |
$[]$ |
65194.b1 |
65194b1 |
65194.b |
65194b |
$1$ |
$1$ |
\( 2 \cdot 37 \cdot 881 \) |
\( - 2^{67} \cdot 37^{2} \cdot 881^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$7048$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$267442560$ |
$4.846054$ |
$5449851448803727659415209588407/138146816980891556276794726285312$ |
$1.14995$ |
$7.34864$ |
$[1, 1, 0, 366623516, 565488435565008]$ |
\(y^2+xy=x^3+x^2+366623516x+565488435565008\) |
7048.2.0.? |
$[]$ |
67200.bo1 |
67200ds2 |
67200.bo |
67200ds |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{14} \cdot 3^{13} \cdot 5^{9} \cdot 7^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$79073280$ |
$4.294220$ |
$8105089381416460493142930304/23446313328375$ |
$1.08879$ |
$7.52314$ |
$[0, -1, 0, -26572027133, -1667181326010363]$ |
\(y^2=x^3-x^2-26572027133x-1667181326010363\) |
2.3.0.a.1, 56.6.0.c.1, 60.6.0.a.1, 840.12.0.? |
$[]$ |
67200.bo2 |
67200ds1 |
67200.bo |
67200ds |
$2$ |
$2$ |
\( 2^{7} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( - 2^{7} \cdot 3^{26} \cdot 5^{12} \cdot 7^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$840$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$39536640$ |
$3.947647$ |
$-253274234887990102459538912/13622812173700734375$ |
$1.07921$ |
$6.77484$ |
$[0, -1, 0, -1660730258, -26049999182238]$ |
\(y^2=x^3-x^2-1660730258x-26049999182238\) |
2.3.0.a.1, 56.6.0.b.1, 60.6.0.b.1, 840.12.0.? |
$[]$ |
68224.f1 |
68224f1 |
68224.f |
68224f |
$1$ |
$1$ |
\( 2^{7} \cdot 13 \cdot 41 \) |
\( - 2^{14} \cdot 13^{9} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2132$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$11674368$ |
$3.187000$ |
$-33389196213937190357493376/730872701286533$ |
$1.02367$ |
$6.15193$ |
$[0, -1, 0, -170386061, -855993374027]$ |
\(y^2=x^3-x^2-170386061x-855993374027\) |
2132.2.0.? |
$[]$ |
70448.t1 |
70448g1 |
70448.t |
70448g |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 17 \cdot 37 \) |
\( - 2^{12} \cdot 7^{3} \cdot 17^{3} \cdot 37^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$8806$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$7892640$ |
$2.700432$ |
$-342433480186122153984/159975307137569147$ |
$1.03577$ |
$5.03396$ |
$[0, 0, 0, -2332048, -1842749200]$ |
\(y^2=x^3-2332048x-1842749200\) |
8806.2.0.? |
$[]$ |
73326.d1 |
73326c1 |
73326.d |
73326c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 11^{2} \cdot 101 \) |
\( - 2^{3} \cdot 3 \cdot 11^{2} \cdot 101^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2424$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$24981264$ |
$3.568924$ |
$-3646530972918923152685648061409/2573124845056824$ |
$1.05586$ |
$6.70975$ |
$[1, 1, 0, -1586038973, -24312560587179]$ |
\(y^2+xy=x^3+x^2-1586038973x-24312560587179\) |
2424.2.0.? |
$[]$ |
77714.g1 |
77714b2 |
77714.g |
77714b |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 13 \cdot 61 \) |
\( 2^{39} \cdot 7^{2} \cdot 13^{9} \cdot 61 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$133224$ |
$16$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$42810768$ |
$3.707329$ |
$105194335781009412834839831833/355622996204382442225664$ |
$1.02102$ |
$6.27997$ |
$[1, 1, 0, -359877676, -2620191874992]$ |
\(y^2+xy=x^3+x^2-359877676x-2620191874992\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 6344.2.0.?, 19032.8.0.?, 133224.16.0.? |
$[]$ |
77714.g2 |
77714b1 |
77714.g |
77714b |
$2$ |
$3$ |
\( 2 \cdot 7^{2} \cdot 13 \cdot 61 \) |
\( 2^{13} \cdot 7^{2} \cdot 13^{3} \cdot 61^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$133224$ |
$16$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$14270256$ |
$3.158024$ |
$104938050229352357350159344553/4085164089344$ |
$1.02097$ |
$6.27975$ |
$[1, 1, 0, -359585181, -2624675303683]$ |
\(y^2+xy=x^3+x^2-359585181x-2624675303683\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 6344.2.0.?, 19032.8.0.?, 133224.16.0.? |
$[]$ |
80820.d1 |
80820c1 |
80820.d |
80820c |
$1$ |
$1$ |
\( 2^{2} \cdot 3^{2} \cdot 5 \cdot 449 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 449 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2694$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$57323520$ |
$4.014549$ |
$-79122095626731855222416742547456/4735546875$ |
$1.08240$ |
$7.32858$ |
$[0, 0, 0, -20283389328, -1111882522646923]$ |
\(y^2=x^3-20283389328x-1111882522646923\) |
2694.2.0.? |
$[]$ |
84700.bi1 |
84700be1 |
84700.bi |
84700be |
$1$ |
$1$ |
\( 2^{2} \cdot 5^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{8} \cdot 5^{8} \cdot 7^{7} \cdot 11^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$308$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$48384000$ |
$3.668392$ |
$-8142048846461520/132632423693$ |
$0.98544$ |
$6.12254$ |
$[0, 0, 0, -235390375, -1409480751250]$ |
\(y^2=x^3-235390375x-1409480751250\) |
308.2.0.? |
$[]$ |
84837.h1 |
84837g1 |
84837.h |
84837g |
$1$ |
$1$ |
\( 3 \cdot 28279 \) |
\( 3^{3} \cdot 28279 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$169674$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$22693284$ |
$3.230980$ |
$216549171633190653167545080229888/763533$ |
$1.01532$ |
$6.56082$ |
$[0, 1, 1, -1251058462, -17032372800521]$ |
\(y^2+y=x^3+x^2-1251058462x-17032372800521\) |
169674.2.0.? |
$[]$ |
88825.j1 |
88825h1 |
88825.j |
88825h |
$1$ |
$1$ |
\( 5^{2} \cdot 11 \cdot 17 \cdot 19 \) |
\( - 5^{2} \cdot 11^{2} \cdot 17^{13} \cdot 19^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$646$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$466150464$ |
$4.889328$ |
$-643285218156566044526692500061716480/386726343432215671210688484683$ |
$1.07430$ |
$7.51875$ |
$[0, 0, 1, -52586381710, 4643906953808371]$ |
\(y^2+y=x^3-52586381710x+4643906953808371\) |
646.2.0.? |
$[]$ |
91728.bd1 |
91728ca1 |
91728.bd |
91728ca |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{42} \cdot 7^{7} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$340623360$ |
$4.768745$ |
$-588894491652244161881463808/13658611812026920011$ |
$1.07886$ |
$7.47841$ |
$[0, 0, 0, -48897858324, -4161899350346164]$ |
\(y^2=x^3-48897858324x-4161899350346164\) |
182.2.0.? |
$[]$ |
93888.cj1 |
93888u1 |
93888.cj |
93888u |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 163 \) |
\( - 2^{6} \cdot 3^{24} \cdot 163^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$326$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$19676160$ |
$3.401791$ |
$-374877602746267592723968/44578002780907794027$ |
$1.04692$ |
$5.69599$ |
$[0, 0, 0, -54078474, -168060329858]$ |
\(y^2=x^3-54078474x-168060329858\) |
326.2.0.? |
$[]$ |
96720.bg1 |
96720cf1 |
96720.bg |
96720cf |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 2^{41} \cdot 3^{7} \cdot 5^{2} \cdot 13^{15} \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9672$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$1620622080$ |
$5.448959$ |
$-200986038066345332307315669570241/46576906907216019686488748851200$ |
$1.10962$ |
$7.72621$ |
$[0, -1, 0, -19525434560, -21040927034385408]$ |
\(y^2=x^3-x^2-19525434560x-21040927034385408\) |
9672.2.0.? |
$[]$ |
98484.b1 |
98484b2 |
98484.b |
98484b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 29 \cdot 283 \) |
\( 2^{8} \cdot 3^{36} \cdot 29^{2} \cdot 283^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$32828$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$173031552$ |
$4.462700$ |
$24960369164394890789844910347472/2861017223407463203308827307$ |
$1.01301$ |
$6.77008$ |
$[0, -1, 0, -3865945724, -82850263947672]$ |
\(y^2=x^3-x^2-3865945724x-82850263947672\) |
2.3.0.a.1, 116.6.0.?, 1132.6.0.?, 32828.12.0.? |
$[]$ |
98484.b2 |
98484b1 |
98484.b |
98484b |
$2$ |
$2$ |
\( 2^{2} \cdot 3 \cdot 29 \cdot 283 \) |
\( 2^{4} \cdot 3^{18} \cdot 29 \cdot 283^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$32828$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$86515776$ |
$4.116127$ |
$365264464383789161435280763912192/5771639486962502254825389$ |
$1.11135$ |
$6.76232$ |
$[0, -1, 0, -3752619789, -88478528513886]$ |
\(y^2=x^3-x^2-3752619789x-88478528513886\) |
2.3.0.a.1, 58.6.0.a.1, 1132.6.0.?, 32828.12.0.? |
$[]$ |
98490.h1 |
98490b4 |
98490.h |
98490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( 2^{16} \cdot 3^{20} \cdot 5^{6} \cdot 7^{10} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11256$ |
$48$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$4435476480$ |
$5.875710$ |
$5418067216591818531059560605869947360201/574370351345323008000000$ |
$1.06640$ |
$8.97274$ |
$[1, 1, 0, -17929560287013, -29221511942129264883]$ |
\(y^2+xy=x^3+x^2-17929560287013x-29221511942129264883\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 28.12.0-4.c.1.2, 168.24.0.?, $\ldots$ |
$[]$ |
98490.h2 |
98490b3 |
98490.h |
98490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( 2^{16} \cdot 3^{5} \cdot 5^{24} \cdot 7^{7} \cdot 67^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11256$ |
$48$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$4435476480$ |
$5.875710$ |
$1421874805482496940436874699718398921/133894753207031250000000000000000$ |
$1.05596$ |
$8.25560$ |
$[1, 1, 0, -1147912087333, -433158069166352627]$ |
\(y^2+xy=x^3+x^2-1147912087333x-433158069166352627\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 28.12.0-4.c.1.1, 42.6.0.a.1, $\ldots$ |
$[]$ |
98490.h3 |
98490b2 |
98490.h |
98490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( 2^{32} \cdot 3^{10} \cdot 5^{12} \cdot 7^{8} \cdot 67^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5628$ |
$48$ |
$0$ |
$1$ |
$121$ |
$11$ |
$2$ |
$2217738240$ |
$5.529137$ |
$1322780122550052546890213304187360201/13619405352075264000000000000$ |
$1.05466$ |
$8.24932$ |
$[1, 1, 0, -1120600287013, -456584104945264883]$ |
\(y^2+xy=x^3+x^2-1120600287013x-456584104945264883\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 28.12.0-2.a.1.1, 84.24.0.?, 268.12.0.?, $\ldots$ |
$[]$ |
98490.h4 |
98490b1 |
98490.h |
98490b |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 67 \) |
\( - 2^{64} \cdot 3^{5} \cdot 5^{6} \cdot 7^{7} \cdot 67 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$11256$ |
$48$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$1108869120$ |
$5.182564$ |
$-299938797397883318312656247591881/32848751278882132328448000000$ |
$1.11401$ |
$7.53454$ |
$[1, 1, 0, -68333299493, -7497810464876787]$ |
\(y^2+xy=x^3+x^2-68333299493x-7497810464876787\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 56.12.0-4.c.1.5, 168.24.0.?, $\ldots$ |
$[]$ |
100848.g1 |
100848g2 |
100848.g |
100848g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 191 \) |
\( 2^{8} \cdot 3^{9} \cdot 11^{14} \cdot 191^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$59899392$ |
$4.111526$ |
$24140275170451199506245581957968/272681465362777080290043$ |
$1.03177$ |
$6.75324$ |
$[0, -1, 0, -3823133732, -90984419143332]$ |
\(y^2=x^3-x^2-3823133732x-90984419143332\) |
2.3.0.a.1, 12.6.0.a.1, 44.6.0.c.1, 132.12.0.? |
$[]$ |
100848.g2 |
100848g1 |
100848.g |
100848g |
$2$ |
$2$ |
\( 2^{4} \cdot 3 \cdot 11 \cdot 191 \) |
\( - 2^{4} \cdot 3^{18} \cdot 11^{7} \cdot 191^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$132$ |
$12$ |
$0$ |
$1$ |
$121$ |
$11$ |
$1$ |
$29949696$ |
$3.764954$ |
$-87270343347011265816583733248/10047658134855761317026459$ |
$1.08652$ |
$6.04033$ |
$[0, -1, 0, -232856117, -1497467644980]$ |
\(y^2=x^3-x^2-232856117x-1497467644980\) |
2.3.0.a.1, 12.6.0.b.1, 22.6.0.a.1, 132.12.0.? |
$[]$ |
101622.a1 |
101622a1 |
101622.a |
101622a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 16937 \) |
\( - 2^{57} \cdot 3 \cdot 16937 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$406488$ |
$2$ |
$0$ |
$1$ |
$121$ |
$11$ |
$0$ |
$27971724$ |
$3.275490$ |
$-173398735457083198527824434249/7322636821322312712192$ |
$0.99544$ |
$5.83965$ |
$[1, 1, 0, -116173588, -482024020400]$ |
\(y^2+xy=x^3+x^2-116173588x-482024020400\) |
406488.2.0.? |
$[]$ |