| 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 |
Intrinsic torsion order |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
Manin constant |
| 113568.a1 |
113568ce1 |
113568.a |
113568ce |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 7 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$5.645942175$ |
$1$ |
|
$0$ |
$329472$ |
$1.222498$ |
$228488/21$ |
$0.90426$ |
$3.35882$ |
$1$ |
$[0, -1, 0, -9520, 331096]$ |
\(y^2=x^3-x^2-9520x+331096\) |
168.2.0.? |
$[(141/2, 1561/2)]$ |
$1$ |
| 113568.b1 |
113568cb1 |
113568.b |
113568cb |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$0.501782737$ |
$1$ |
|
$4$ |
$215040$ |
$1.228407$ |
$-681472/819$ |
$0.74804$ |
$3.28718$ |
$1$ |
$[0, -1, 0, -4957, 237301]$ |
\(y^2=x^3-x^2-4957x+237301\) |
182.2.0.? |
$[(87, 676)]$ |
$1$ |
| 113568.c1 |
113568cc1 |
113568.c |
113568cc |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 7 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$4.409611251$ |
$1$ |
|
$2$ |
$806400$ |
$1.752220$ |
$5582912824/3737097$ |
$0.91782$ |
$3.78612$ |
$1$ |
$[0, -1, 0, 49968, 1685124]$ |
\(y^2=x^3-x^2+49968x+1685124\) |
2184.2.0.? |
$[(2024, 91598)]$ |
$1$ |
| 113568.d1 |
113568cd1 |
113568.d |
113568cd |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$728$ |
$4$ |
$0$ |
$1.870112249$ |
$1$ |
|
$2$ |
$104448$ |
$0.740963$ |
$-4933544512/3969$ |
$0.91316$ |
$3.07284$ |
$1$ |
$[0, -1, 0, -3137, -66639]$ |
\(y^2=x^3-x^2-3137x-66639\) |
4.2.0.a.1, 728.4.0.? |
$[(71, 252)]$ |
$1$ |
| 113568.e1 |
113568e1 |
113568.e |
113568e |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$6.104103135$ |
$1$ |
|
$2$ |
$306432$ |
$1.385675$ |
$3882322961655944/15309$ |
$1.00560$ |
$4.06038$ |
$1$ |
$[0, -1, 0, -144824, -21165132]$ |
\(y^2=x^3-x^2-144824x-21165132\) |
168.2.0.? |
$[(676, 13762)]$ |
$1$ |
| 113568.f1 |
113568c4 |
113568.f |
113568c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{4} \cdot 7^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$2.725550631$ |
$1$ |
|
$7$ |
$4128768$ |
$2.720608$ |
$672668087746709384/32867289$ |
$1.00496$ |
$5.38464$ |
$2$ |
$[0, -1, 0, -24679464, 47198412468]$ |
\(y^2=x^3-x^2-24679464x+47198412468\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.2, 56.24.0.bc.1, $\ldots$ |
$[(2868, 18)]$ |
$1$ |
| 113568.f2 |
113568c3 |
113568.f |
113568c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{16} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$10.90220252$ |
$1$ |
|
$1$ |
$4128768$ |
$2.720608$ |
$92173898928448/50924270943$ |
$1.07652$ |
$4.79909$ |
$2$ |
$[0, -1, 0, -2544689, -331746975]$ |
\(y^2=x^3-x^2-2544689x-331746975\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(1392291/5, 1642148664/5)]$ |
$1$ |
| 113568.f3 |
113568c1 |
113568.f |
113568c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{8} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$5.451101262$ |
$1$ |
|
$7$ |
$2064384$ |
$2.374035$ |
$1320428512222912/9182047329$ |
$1.02998$ |
$4.67050$ |
$1$ |
$[0, -1, 0, -1545054, 735263424]$ |
\(y^2=x^3-x^2-1545054x+735263424\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 56.24.0.b.1, $\ldots$ |
$[(-1353, 18630)]$ |
$1$ |
| 113568.f4 |
113568c2 |
113568.f |
113568c |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{4} \cdot 7 \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$10.90220252$ |
$1$ |
|
$1$ |
$4128768$ |
$2.720608$ |
$-9043113453704/462519318807$ |
$1.01798$ |
$4.80698$ |
$2$ |
$[0, -1, 0, -586824, 1635999624]$ |
\(y^2=x^3-x^2-586824x+1635999624\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bt.1, 104.24.0.?, $\ldots$ |
$[(-31459/5, 2437586/5)]$ |
$1$ |
| 113568.g1 |
113568d1 |
113568.g |
113568d |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{5} \cdot 7^{3} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$7.361754170$ |
$1$ |
|
$2$ |
$673920$ |
$1.853115$ |
$138424/83349$ |
$0.97965$ |
$3.91253$ |
$1$ |
$[0, -1, 0, 8056, 8969700]$ |
\(y^2=x^3-x^2+8056x+8969700\) |
168.2.0.? |
$[(3016, 165706)]$ |
$1$ |
| 113568.h1 |
113568bu1 |
113568.h |
113568bu |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 7^{7} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$168$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$370944$ |
$1.504889$ |
$129040278536/22235661$ |
$0.97923$ |
$3.61520$ |
$1$ |
$[0, -1, 0, -25744, -1323752]$ |
\(y^2=x^3-x^2-25744x-1323752\) |
168.2.0.? |
$[ ]$ |
$1$ |
| 113568.i1 |
113568u4 |
113568.i |
113568u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$516096$ |
$1.600403$ |
$3321287488/7371$ |
$0.87033$ |
$3.92014$ |
$2$ |
$[0, -1, 0, -84049, -9332831]$ |
\(y^2=x^3-x^2-84049x-9332831\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 364.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.i2 |
113568u3 |
113568.i |
113568u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 7^{4} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$516096$ |
$1.600403$ |
$17454600584/93639$ |
$0.88793$ |
$3.88404$ |
$1$ |
$[0, -1, 0, -73064, 7590660]$ |
\(y^2=x^3-x^2-73064x+7590660\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.i3 |
113568u1 |
113568.i |
113568u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$258048$ |
$1.253830$ |
$131096512/74529$ |
$0.92560$ |
$3.28518$ |
$1$ |
$[0, -1, 0, -7154, -28536]$ |
\(y^2=x^3-x^2-7154x-28536\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 168.24.0.?, 312.24.0.?, 364.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.i4 |
113568u2 |
113568.i |
113568u |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3 \cdot 7 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2184$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$516096$ |
$1.600403$ |
$1018108216/599781$ |
$0.94127$ |
$3.63992$ |
$2$ |
$[0, -1, 0, 28336, -255672]$ |
\(y^2=x^3-x^2+28336x-255672\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 168.24.0.?, 312.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.j1 |
113568cj2 |
113568.j |
113568cj |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3 \cdot 7^{4} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1198080$ |
$2.050060$ |
$14526784/7203$ |
$1.02576$ |
$4.11453$ |
$1$ |
$[0, -1, 0, -178689, -10941711]$ |
\(y^2=x^3-x^2-178689x-10941711\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 113568.j2 |
113568cj1 |
113568.j |
113568cj |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$599040$ |
$1.703487$ |
$504358336/441$ |
$0.90435$ |
$4.06199$ |
$1$ |
$[0, -1, 0, -145734, -21348900]$ |
\(y^2=x^3-x^2-145734x-21348900\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[ ]$ |
$1$ |
| 113568.k1 |
113568t2 |
113568.k |
113568t |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$2580480$ |
$2.542595$ |
$14896378491692608/138411$ |
$1.01838$ |
$5.23596$ |
$1$ |
$[0, -1, 0, -13860929, -19858004271]$ |
\(y^2=x^3-x^2-13860929x-19858004271\) |
2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 1092.12.0.? |
$[ ]$ |
$1$ |
| 113568.k2 |
113568t1 |
113568.k |
113568t |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{12} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1290240$ |
$2.196022$ |
$-232245467895232/709540923$ |
$1.08656$ |
$4.52165$ |
$1$ |
$[0, -1, 0, -865674, -310541700]$ |
\(y^2=x^3-x^2-865674x-310541700\) |
2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? |
$[ ]$ |
$1$ |
| 113568.l1 |
113568ci1 |
113568.l |
113568ci |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$269568$ |
$1.284248$ |
$438976/21$ |
$0.75855$ |
$3.45662$ |
$1$ |
$[0, -1, 0, -13914, -600432]$ |
\(y^2=x^3-x^2-13914x-600432\) |
2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? |
$[ ]$ |
$1$ |
| 113568.l2 |
113568ci2 |
113568.l |
113568ci |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 7^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$539136$ |
$1.630823$ |
$10648/441$ |
$0.87227$ |
$3.68144$ |
$1$ |
$[0, -1, 0, 8056, -2340456]$ |
\(y^2=x^3-x^2+8056x-2340456\) |
2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? |
$[ ]$ |
$1$ |
| 113568.m1 |
113568s4 |
113568.m |
113568s |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.381422$ |
$1036433728/63$ |
$1.07156$ |
$3.82010$ |
$2$ |
$[0, -1, 0, -57009, 5257953]$ |
\(y^2=x^3-x^2-57009x+5257953\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 28.12.0.h.1, 52.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.m2 |
113568s3 |
113568.m |
113568s |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{2} \cdot 7^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.381422$ |
$306182024/21609$ |
$0.95815$ |
$3.53670$ |
$2$ |
$[0, -1, 0, -18984, -937080]$ |
\(y^2=x^3-x^2-18984x-937080\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 52.12.0-4.c.1.1, 56.24.0.bc.1, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.m3 |
113568s1 |
113568.m |
113568s |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{4} \cdot 7^{2} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.034847$ |
$19248832/3969$ |
$1.05560$ |
$3.12037$ |
$1$ |
$[0, -1, 0, -3774, 72864]$ |
\(y^2=x^3-x^2-3774x+72864\) |
2.6.0.a.1, 8.12.0.a.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 56.24.0.b.1, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.m4 |
113568s2 |
113568.m |
113568s |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{8} \cdot 7 \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$728$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.381422$ |
$23393656/45927$ |
$1.19818$ |
$3.39070$ |
$2$ |
$[0, -1, 0, 8056, 427764]$ |
\(y^2=x^3-x^2+8056x+427764\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 56.24.0.bt.1, 104.24.0.?, $\ldots$ |
$[ ]$ |
$1$ |
| 113568.n1 |
113568ca4 |
113568.n |
113568ca |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3^{3} \cdot 7 \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$2184$ |
$48$ |
$0$ |
$14.23044347$ |
$1$ |
|
$1$ |
$1290240$ |
$1.966297$ |
$1922350562504/5398029$ |
$0.93131$ |
$4.28797$ |
$2$ |
$[0, -1, 0, -350224, -79464620]$ |
\(y^2=x^3-x^2-350224x-79464620\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 168.24.0.?, $\ldots$ |
$[(-3069919/95, 376021446/95)]$ |
$1$ |
| 113568.n2 |
113568ca3 |
113568.n |
113568ca |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{3} \cdot 7^{4} \cdot 13^{7} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$2184$ |
$48$ |
$0$ |
$3.557610867$ |
$1$ |
|
$7$ |
$1290240$ |
$1.966297$ |
$196325547328/842751$ |
$0.94498$ |
$4.27060$ |
$1$ |
$[0, -1, 0, -327409, 71949409]$ |
\(y^2=x^3-x^2-327409x+71949409\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ |
$[(-3, 8540)]$ |
$1$ |
| 113568.n3 |
113568ca1 |
113568.n |
113568ca |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{6} \cdot 7^{2} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$7.115221735$ |
$1$ |
|
$3$ |
$645120$ |
$1.619724$ |
$10474708672/6036849$ |
$1.05484$ |
$3.66153$ |
$1$ |
$[0, -1, 0, -30814, -123176]$ |
\(y^2=x^3-x^2-30814x-123176\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 168.24.0.?, 728.24.0.?, $\ldots$ |
$[(-604/5, 97356/5)]$ |
$1$ |
| 113568.n4 |
113568ca2 |
113568.n |
113568ca |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{12} \cdot 7 \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$2184$ |
$48$ |
$0$ |
$14.23044347$ |
$1$ |
|
$1$ |
$1290240$ |
$1.966297$ |
$83224499896/48361131$ |
$1.01276$ |
$4.01823$ |
$2$ |
$[0, -1, 0, 122976, -1107432]$ |
\(y^2=x^3-x^2+122976x-1107432\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 168.24.0.?, 312.24.0.?, 728.24.0.?, $\ldots$ |
$[(1351381/30, 1612480771/30)]$ |
$1$ |
| 113568.o1 |
113568k1 |
113568.o |
113568k |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{13} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3594240$ |
$2.495399$ |
$7500990645099008/7848009842967$ |
$1.05673$ |
$4.51596$ |
$1$ |
$[0, -1, 0, 848259, -270573291]$ |
\(y^2=x^3-x^2+848259x-270573291\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.p1 |
113568bt1 |
113568.p |
113568bt |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{10} \cdot 13^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$56$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.221592$ |
$16492733806016/22880495169$ |
$1.04571$ |
$4.23929$ |
$1$ |
$[0, -1, 0, 259359, -60181551]$ |
\(y^2=x^3-x^2+259359x-60181551\) |
4.2.0.a.1, 56.4.0-4.a.1.1 |
$[ ]$ |
$1$ |
| 113568.q1 |
113568j1 |
113568.q |
113568j |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1048320$ |
$1.951803$ |
$-30959144/15309$ |
$0.87850$ |
$4.05395$ |
$1$ |
$[0, -1, 0, -114976, 20473192]$ |
\(y^2=x^3-x^2-114976x+20473192\) |
2184.2.0.? |
$[ ]$ |
$1$ |
| 113568.r1 |
113568ch1 |
113568.r |
113568ch |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$116736$ |
$0.778845$ |
$-527514112/567$ |
$0.90500$ |
$3.10117$ |
$1$ |
$[0, -1, 0, -3501, -78651]$ |
\(y^2=x^3-x^2-3501x-78651\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.s1 |
113568bx2 |
113568.s |
113568bx |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$20.20100104$ |
$1$ |
|
$1$ |
$2064384$ |
$2.135429$ |
$6665900968000/862407$ |
$0.94837$ |
$4.57343$ |
$1$ |
$[0, -1, 0, -1060193, -419770287]$ |
\(y^2=x^3-x^2-1060193x-419770287\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(11347364287/2619, 871069679186356/2619)]$ |
$1$ |
| 113568.s2 |
113568bx1 |
113568.s |
113568bx |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{3} \cdot 7^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$10.10050052$ |
$1$ |
|
$1$ |
$1032192$ |
$1.788857$ |
$-79507000000/37786203$ |
$0.99033$ |
$3.88716$ |
$1$ |
$[0, -1, 0, -60558, -7720740]$ |
\(y^2=x^3-x^2-60558x-7720740\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(337372/27, 156422006/27)]$ |
$1$ |
| 113568.t1 |
113568bw2 |
113568.t |
113568bw |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{2} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$3.671776635$ |
$1$ |
|
$3$ |
$147456$ |
$1.071932$ |
$1000000/63$ |
$1.02461$ |
$3.22358$ |
$1$ |
$[0, -1, 0, -5633, 155505]$ |
\(y^2=x^3-x^2-5633x+155505\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.a.1, 84.12.0.? |
$[(8, 333)]$ |
$1$ |
| 113568.t2 |
113568bw1 |
113568.t |
113568bw |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3 \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$1.835888317$ |
$1$ |
|
$3$ |
$73728$ |
$0.725358$ |
$8000/147$ |
$0.94365$ |
$2.74582$ |
$1$ |
$[0, -1, 0, 282, 9996]$ |
\(y^2=x^3-x^2+282x+9996\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.b.1, 84.12.0.? |
$[(100, 1014)]$ |
$1$ |
| 113568.u1 |
113568i1 |
113568.u |
113568i |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7 \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1517568$ |
$2.061321$ |
$-527514112/567$ |
$0.90500$ |
$4.42330$ |
$1$ |
$[0, -1, 0, -591725, -175163067]$ |
\(y^2=x^3-x^2-591725x-175163067\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.v1 |
113568a1 |
113568.v |
113568a |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{5} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1.501686654$ |
$1$ |
|
$2$ |
$645120$ |
$1.872656$ |
$3348071936/1966419$ |
$0.97109$ |
$3.92083$ |
$1$ |
$[0, -1, 0, 84275, 1121509]$ |
\(y^2=x^3-x^2+84275x+1121509\) |
182.2.0.? |
$[(35, 2028)]$ |
$1$ |
| 113568.w1 |
113568n1 |
113568.w |
113568n |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{19} \cdot 7 \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3064320$ |
$2.636509$ |
$-442067613591752/105765793497$ |
$0.97395$ |
$4.78486$ |
$1$ |
$[0, -1, 0, -2145680, 1438959144]$ |
\(y^2=x^3-x^2-2145680x+1438959144\) |
2184.2.0.? |
$[ ]$ |
$1$ |
| 113568.x1 |
113568cf1 |
113568.x |
113568cf |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$0.669328$ |
$-30959144/15309$ |
$0.87850$ |
$2.73183$ |
$1$ |
$[0, -1, 0, -680, 9528]$ |
\(y^2=x^3-x^2-680x+9528\) |
2184.2.0.? |
$[ ]$ |
$1$ |
| 113568.y1 |
113568o1 |
113568.y |
113568o |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{10} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.2.0.1 |
|
$728$ |
$4$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17971200$ |
$3.504066$ |
$16492733806016/22880495169$ |
$1.04571$ |
$5.56141$ |
$1$ |
$[0, -1, 0, 43831615, -132043541007]$ |
\(y^2=x^3-x^2+43831615x-132043541007\) |
4.2.0.a.1, 728.4.0.? |
$[ ]$ |
$1$ |
| 113568.z1 |
113568p1 |
113568.z |
113568p |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{2} \cdot 7^{3} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1935360$ |
$2.340641$ |
$-99021508447744/6782139$ |
$0.96788$ |
$4.80526$ |
$1$ |
$[0, -1, 0, -2606205, -1618652907]$ |
\(y^2=x^3-x^2-2606205x-1618652907\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.ba1 |
113568cg1 |
113568.ba |
113568cg |
$1$ |
$1$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{4} \cdot 7^{13} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$46725120$ |
$3.777874$ |
$7500990645099008/7848009842967$ |
$1.05673$ |
$5.83808$ |
$1$ |
$[0, -1, 0, 143355715, -593876097387]$ |
\(y^2=x^3-x^2+143355715x-593876097387\) |
182.2.0.? |
$[ ]$ |
$1$ |
| 113568.bb1 |
113568b4 |
113568.bb |
113568b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{9} \cdot 3 \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.987482891$ |
$1$ |
|
$1$ |
$245760$ |
$1.223841$ |
$2438569736/21$ |
$0.97593$ |
$3.71496$ |
$2$ |
$[0, -1, 0, -37912, 2853928]$ |
\(y^2=x^3-x^2-37912x+2853928\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 56.12.0.ba.1, 104.12.0.?, $\ldots$ |
$[(2841/5, 1964/5)]$ |
$1$ |
| 113568.bb2 |
113568b3 |
113568.bb |
113568b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{4} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.987482891$ |
$1$ |
|
$1$ |
$245760$ |
$1.223841$ |
$3241792/567$ |
$0.96732$ |
$3.32462$ |
$2$ |
$[0, -1, 0, -8337, -241983]$ |
\(y^2=x^3-x^2-8337x-241983\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.bb.1, 28.12.0.h.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(-879/4, 13905/4)]$ |
$1$ |
| 113568.bb3 |
113568b1 |
113568.bb |
113568b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$2184$ |
$48$ |
$0$ |
$2.993741445$ |
$1$ |
|
$7$ |
$122880$ |
$0.877268$ |
$5088448/441$ |
$0.96662$ |
$3.00606$ |
$1$ |
$[0, -1, 0, -2422, 43120]$ |
\(y^2=x^3-x^2-2422x+43120\) |
2.6.0.a.1, 24.12.0.a.1, 28.12.0.a.1, 52.12.0-2.a.1.1, 168.24.0.?, $\ldots$ |
$[(19, 60)]$ |
$1$ |
| 113568.bb4 |
113568b2 |
113568.bb |
113568b |
$4$ |
$4$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3 \cdot 7^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2184$ |
$48$ |
$0$ |
$5.987482891$ |
$1$ |
|
$3$ |
$245760$ |
$1.223841$ |
$830584/7203$ |
$0.97109$ |
$3.25562$ |
$2$ |
$[0, -1, 0, 2648, 195220]$ |
\(y^2=x^3-x^2+2648x+195220\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.v.1, 52.12.0-4.c.1.2, 56.12.0.ba.1, $\ldots$ |
$[(357, 6820)]$ |
$1$ |
| 113568.bc1 |
113568l1 |
113568.bc |
113568l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{6} \cdot 3 \cdot 7 \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$20736$ |
$0.001774$ |
$438976/21$ |
$0.75855$ |
$2.13450$ |
$1$ |
$[0, -1, 0, -82, -248]$ |
\(y^2=x^3-x^2-82x-248\) |
2.3.0.a.1, 104.6.0.?, 168.6.0.?, 546.6.0.?, 2184.12.0.? |
$[ ]$ |
$1$ |
| 113568.bc2 |
113568l2 |
113568.bc |
113568l |
$2$ |
$2$ |
\( 2^{5} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( - 2^{9} \cdot 3^{2} \cdot 7^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2184$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$41472$ |
$0.348348$ |
$10648/441$ |
$0.87227$ |
$2.35932$ |
$1$ |
$[0, -1, 0, 48, -1080]$ |
\(y^2=x^3-x^2+48x-1080\) |
2.3.0.a.1, 104.6.0.?, 168.6.0.?, 1092.6.0.?, 2184.12.0.? |
$[ ]$ |
$1$ |