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 |
1170.a1 |
1170d5 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2 \cdot 3^{14} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.3 |
2B |
$3120$ |
$192$ |
$1$ |
$0.912566913$ |
$1$ |
|
$6$ |
$4096$ |
$1.313379$ |
$81025909800741361/11088090$ |
$1.01361$ |
$6.44399$ |
$[1, -1, 0, -81135, 8915611]$ |
\(y^2+xy=x^3-x^2-81135x+8915611\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 16.24.0-8.n.1.5, $\ldots$ |
$[(165, -76)]$ |
1170.a2 |
1170d3 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{2} \cdot 3^{7} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.89 |
2B |
$3120$ |
$192$ |
$1$ |
$1.825133826$ |
$1$ |
|
$6$ |
$2048$ |
$0.966805$ |
$66730743078481/60937500$ |
$0.97968$ |
$5.43874$ |
$[1, -1, 0, -7605, -253175]$ |
\(y^2+xy=x^3-x^2-7605x-253175\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.7, 12.12.0-4.c.1.2, 24.48.0-24.by.1.7, $\ldots$ |
$[(-49, 29)]$ |
1170.a3 |
1170d4 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.9 |
2Cs |
$1560$ |
$192$ |
$1$ |
$0.456283456$ |
$1$ |
|
$16$ |
$2048$ |
$0.966805$ |
$19948814692561/231344100$ |
$0.97293$ |
$5.26782$ |
$[1, -1, 0, -5085, 139441]$ |
\(y^2+xy=x^3-x^2-5085x+139441\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.3, 12.24.0-4.b.1.1, 24.48.0-24.h.2.2, $\ldots$ |
$[(48, 41)]$ |
1170.a4 |
1170d6 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2 \cdot 3^{8} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.87 |
2B |
$3120$ |
$192$ |
$1$ |
$0.912566913$ |
$1$ |
|
$6$ |
$4096$ |
$1.313379$ |
$-168288035761/73415764890$ |
$1.05371$ |
$5.52986$ |
$[1, -1, 0, -1035, 352471]$ |
\(y^2+xy=x^3-x^2-1035x+352471\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.1, 12.12.0-4.c.1.1, 24.48.0-24.by.2.15, $\ldots$ |
$[(-33, 608)]$ |
1170.a5 |
1170d2 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.17 |
2Cs |
$1560$ |
$192$ |
$1$ |
$0.912566913$ |
$1$ |
|
$14$ |
$1024$ |
$0.620233$ |
$30400540561/15210000$ |
$0.96238$ |
$4.34967$ |
$[1, -1, 0, -585, -1859]$ |
\(y^2+xy=x^3-x^2-585x-1859\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.1, 12.24.0-4.b.1.3, 24.48.0-24.h.1.2, $\ldots$ |
$[(-13, 65)]$ |
1170.a6 |
1170d1 |
1170.a |
1170d |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.14 |
2B |
$3120$ |
$192$ |
$1$ |
$0.456283456$ |
$1$ |
|
$9$ |
$512$ |
$0.273659$ |
$371694959/249600$ |
$0.92494$ |
$3.72628$ |
$[1, -1, 0, 135, -275]$ |
\(y^2+xy=x^3-x^2+135x-275\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 16.24.0-8.n.1.6, $\ldots$ |
$[(5, 20)]$ |
1170.b1 |
1170c3 |
1170.b |
1170c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{2} \cdot 3^{6} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$0.944114455$ |
$1$ |
|
$6$ |
$1024$ |
$0.745093$ |
$294889639316481/260$ |
$1.02336$ |
$5.64907$ |
$[1, -1, 0, -12480, 539756]$ |
\(y^2+xy=x^3-x^2-12480x+539756\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.i.1, $\ldots$ |
$[(67, -2)]$ |
1170.b2 |
1170c2 |
1170.b |
1170c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1560$ |
$192$ |
$3$ |
$0.472057227$ |
$1$ |
|
$16$ |
$512$ |
$0.398520$ |
$72043225281/67600$ |
$1.01871$ |
$4.47180$ |
$[1, -1, 0, -780, 8576]$ |
\(y^2+xy=x^3-x^2-780x+8576\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$ |
$[(7, 55)]$ |
1170.b3 |
1170c4 |
1170.b |
1170c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$3120$ |
$192$ |
$3$ |
$0.236028613$ |
$1$ |
|
$12$ |
$1024$ |
$0.745093$ |
$-32798729601/71402500$ |
$1.04885$ |
$4.58133$ |
$[1, -1, 0, -600, 12500]$ |
\(y^2+xy=x^3-x^2-600x+12500\) |
2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 520.48.1.?, 1040.96.3.?, $\ldots$ |
$[(-2, 118)]$ |
1170.b4 |
1170c1 |
1170.b |
1170c |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$0.944114455$ |
$1$ |
|
$7$ |
$256$ |
$0.051946$ |
$33076161/16640$ |
$0.93564$ |
$3.38384$ |
$[1, -1, 0, -60, 80]$ |
\(y^2+xy=x^3-x^2-60x+80\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.i.1, $\ldots$ |
$[(1, 4)]$ |
1170.c1 |
1170b4 |
1170.c |
1170b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{3} \cdot 3^{9} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$0.894541617$ |
$1$ |
|
$6$ |
$3456$ |
$1.113808$ |
$520300455507/193072360$ |
$0.98306$ |
$5.21818$ |
$[1, -1, 0, -4524, 71288]$ |
\(y^2+xy=x^3-x^2-4524x+71288\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 156.48.0.?, $\ldots$ |
$[(59, 55)]$ |
1170.c2 |
1170b2 |
1170.c |
1170b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2 \cdot 3^{3} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$2.683624853$ |
$1$ |
|
$8$ |
$1152$ |
$0.564502$ |
$261984288445803/42250$ |
$1.00391$ |
$5.16580$ |
$[1, -1, 0, -3999, 98343]$ |
\(y^2+xy=x^3-x^2-3999x+98343\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 156.48.0.?, $\ldots$ |
$[(67, 324)]$ |
1170.c3 |
1170b1 |
1170.c |
1170b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{2} \cdot 3^{3} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$1.341812426$ |
$1$ |
|
$13$ |
$576$ |
$0.217928$ |
$-63378025803/812500$ |
$0.94486$ |
$3.99025$ |
$[1, -1, 0, -249, 1593]$ |
\(y^2+xy=x^3-x^2-249x+1593\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 120.48.0.?, $\ldots$ |
$[(9, 0)]$ |
1170.c4 |
1170b3 |
1170.c |
1170b |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$0.447270808$ |
$1$ |
|
$9$ |
$1728$ |
$0.767234$ |
$3774555693/3515200$ |
$0.94972$ |
$4.52090$ |
$[1, -1, 0, 876, 7568]$ |
\(y^2+xy=x^3-x^2+876x+7568\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 120.48.0.?, $\ldots$ |
$[(19, 166)]$ |
1170.d1 |
1170f1 |
1170.d |
1170f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{5} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$0.302874216$ |
$1$ |
|
$11$ |
$1920$ |
$0.906257$ |
$65787589563409/10400000$ |
$0.97958$ |
$5.43672$ |
$[1, -1, 0, -7569, 255325]$ |
\(y^2+xy=x^3-x^2-7569x+255325\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.4, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(41, 92)]$ |
1170.d2 |
1170f2 |
1170.d |
1170f |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{4} \cdot 3^{6} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$0.151437108$ |
$1$ |
|
$16$ |
$3840$ |
$1.252831$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$5.48780$ |
$[1, -1, 0, -6849, 305293]$ |
\(y^2+xy=x^3-x^2-6849x+305293\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(-18, 659)]$ |
1170.e1 |
1170e2 |
1170.e |
1170e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2 \cdot 3^{12} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.683588771$ |
$1$ |
|
$6$ |
$768$ |
$0.450262$ |
$10779215329/1232010$ |
$1.08676$ |
$4.20291$ |
$[1, -1, 0, -414, 3010]$ |
\(y^2+xy=x^3-x^2-414x+3010\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(-1, 59)]$ |
1170.e2 |
1170e1 |
1170.e |
1170e |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.341794385$ |
$1$ |
|
$11$ |
$384$ |
$0.103689$ |
$6967871/35100$ |
$0.89079$ |
$3.45239$ |
$[1, -1, 0, 36, 220]$ |
\(y^2+xy=x^3-x^2+36x+220\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(-1, 14)]$ |
1170.f1 |
1170a2 |
1170.f |
1170a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{3} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$1.838627$ |
$2034416504287874043/882294347833600$ |
$1.06294$ |
$6.43371$ |
$[1, -1, 0, -79194, 4313908]$ |
\(y^2+xy=x^3-x^2-79194x+4313908\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[ ]$ |
1170.f2 |
1170a1 |
1170.f |
1170a |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{16} \cdot 3^{3} \cdot 5^{4} \cdot 13^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$5120$ |
$1.492052$ |
$19441890357117957/15208161280000$ |
$1.08681$ |
$5.77543$ |
$[1, -1, 0, 16806, 493108]$ |
\(y^2+xy=x^3-x^2+16806x+493108\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
1170.g1 |
1170g4 |
1170.g |
1170g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2 \cdot 3^{8} \cdot 5^{3} \cdot 13^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$2304$ |
$1.229130$ |
$189208196468929/10860320250$ |
$0.98694$ |
$5.58625$ |
$[1, -1, 0, -10764, 410670]$ |
\(y^2+xy=x^3-x^2-10764x+410670\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[ ]$ |
1170.g2 |
1170g2 |
1170.g |
1170g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{3} \cdot 3^{12} \cdot 5 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$768$ |
$0.679823$ |
$967068262369/4928040$ |
$0.95296$ |
$4.83940$ |
$[1, -1, 0, -1854, -30132]$ |
\(y^2+xy=x^3-x^2-1854x-30132\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[ ]$ |
1170.g3 |
1170g1 |
1170.g |
1170g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$384$ |
$0.333250$ |
$-24137569/561600$ |
$1.08140$ |
$3.86560$ |
$[1, -1, 0, -54, -972]$ |
\(y^2+xy=x^3-x^2-54x-972\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.c.1, 78.48.0.?, $\ldots$ |
$[ ]$ |
1170.g4 |
1170g3 |
1170.g |
1170g |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{2} \cdot 3^{7} \cdot 5^{6} \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$1152$ |
$0.882556$ |
$17394111071/411937500$ |
$1.08898$ |
$4.79253$ |
$[1, -1, 0, 486, 25920]$ |
\(y^2+xy=x^3-x^2+486x+25920\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.c.1, 78.48.0.?, $\ldots$ |
$[ ]$ |
1170.h1 |
1170i4 |
1170.h |
1170i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2 \cdot 3^{9} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$9.401060044$ |
$1$ |
|
$0$ |
$3456$ |
$1.113808$ |
$261984288445803/42250$ |
$1.00391$ |
$6.09884$ |
$[1, -1, 1, -35993, -2619269]$ |
\(y^2+xy+y=x^3-x^2-35993x-2619269\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 120.48.0.?, 156.48.0.?, $\ldots$ |
$[(8167/6, 174821/6)]$ |
1170.h2 |
1170i3 |
1170.h |
1170i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{2} \cdot 3^{9} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$4.700530022$ |
$1$ |
|
$1$ |
$1728$ |
$0.767234$ |
$-63378025803/812500$ |
$0.94486$ |
$4.92328$ |
$[1, -1, 1, -2243, -40769]$ |
\(y^2+xy+y=x^3-x^2-2243x-40769\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 78.48.0.?, 120.48.0.?, $\ldots$ |
$[(463/2, 8443/2)]$ |
1170.h3 |
1170i2 |
1170.h |
1170i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{3} \cdot 3^{3} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$3.133686681$ |
$1$ |
|
$6$ |
$1152$ |
$0.564502$ |
$520300455507/193072360$ |
$0.98306$ |
$4.28514$ |
$[1, -1, 1, -503, -2473]$ |
\(y^2+xy+y=x^3-x^2-503x-2473\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 120.48.0.?, 156.48.0.?, $\ldots$ |
$[(25, -2)]$ |
1170.h4 |
1170i1 |
1170.h |
1170i |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{3} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$1.566843340$ |
$1$ |
|
$15$ |
$576$ |
$0.217928$ |
$3774555693/3515200$ |
$0.94972$ |
$3.58786$ |
$[1, -1, 1, 97, -313]$ |
\(y^2+xy+y=x^3-x^2+97x-313\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 78.48.0.?, 120.48.0.?, $\ldots$ |
$[(13, 48)]$ |
1170.i1 |
1170l3 |
1170.i |
1170l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$5$ |
$1728$ |
$0.779756$ |
$988345570681/44994560$ |
$0.95432$ |
$4.84248$ |
$[1, -1, 1, -1868, 30287]$ |
\(y^2+xy+y=x^3-x^2-1868x+30287\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.b.1, 6.24.0-6.a.1.4, 12.48.0-12.f.1.8, $\ldots$ |
$[ ]$ |
1170.i2 |
1170l1 |
1170.i |
1170l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.230449$ |
$3803721481/26000$ |
$0.90619$ |
$4.05547$ |
$[1, -1, 1, -293, -1843]$ |
\(y^2+xy+y=x^3-x^2-293x-1843\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.b.1, 6.24.0-6.a.1.2, 12.48.0-12.f.1.6, $\ldots$ |
$[ ]$ |
1170.i3 |
1170l2 |
1170.i |
1170l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$0$ |
$1152$ |
$0.577023$ |
$-217081801/10562500$ |
$0.97746$ |
$4.27913$ |
$[1, -1, 1, -113, -4219]$ |
\(y^2+xy+y=x^3-x^2-113x-4219\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.6.0.a.1, 6.24.0-6.a.1.2, 12.96.0-12.b.1.7, $\ldots$ |
$[ ]$ |
1170.i4 |
1170l4 |
1170.i |
1170l |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$384$ |
$9$ |
$1$ |
$1$ |
|
$4$ |
$3456$ |
$1.126329$ |
$157376536199/7722894400$ |
$1.01877$ |
$5.20923$ |
$[1, -1, 1, 1012, 113231]$ |
\(y^2+xy+y=x^3-x^2+1012x+113231\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.a.1, 6.24.0-6.a.1.4, 12.96.0-12.b.2.5, $\ldots$ |
$[ ]$ |
1170.j1 |
1170j2 |
1170.j |
1170j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{5} \cdot 3^{8} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.209037613$ |
$1$ |
|
$12$ |
$1280$ |
$0.801142$ |
$68523370149961/243360$ |
$0.97981$ |
$5.44249$ |
$[1, -1, 1, -7673, 260601]$ |
\(y^2+xy+y=x^3-x^2-7673x+260601\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(53, 0)]$ |
1170.j2 |
1170j1 |
1170.j |
1170j |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$0.104518806$ |
$1$ |
|
$19$ |
$640$ |
$0.454568$ |
$-16022066761/998400$ |
$0.92192$ |
$4.27349$ |
$[1, -1, 1, -473, 4281]$ |
\(y^2+xy+y=x^3-x^2-473x+4281\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(5, 42)]$ |
1170.k1 |
1170k4 |
1170.k |
1170k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 13^{6} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$4$ |
$34560$ |
$2.554691$ |
$73474353581350183614361/576510977802240$ |
$1.05636$ |
$8.38569$ |
$[1, -1, 1, -7853198, 8472578717]$ |
\(y^2+xy+y=x^3-x^2-7853198x+8472578717\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[ ]$ |
1170.k2 |
1170k3 |
1170.k |
1170k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{30} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$5$ |
$17280$ |
$2.208118$ |
$-16818951115904497561/1592332281446400$ |
$1.03465$ |
$7.22066$ |
$[1, -1, 1, -480398, 138365597]$ |
\(y^2+xy+y=x^3-x^2-480398x+138365597\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 40.6.0.c.1, 78.48.0.?, $\ldots$ |
$[ ]$ |
1170.k3 |
1170k2 |
1170.k |
1170k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{5} \cdot 3^{24} \cdot 5^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$2.005386$ |
$453198971846635561/261896250564000$ |
$1.11183$ |
$6.68767$ |
$[1, -1, 1, -144023, -755953]$ |
\(y^2+xy+y=x^3-x^2-144023x-755953\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.b.1, 120.48.0.?, $\ldots$ |
$[ ]$ |
1170.k4 |
1170k1 |
1170.k |
1170k |
$4$ |
$6$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{15} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$1560$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$5760$ |
$1.658812$ |
$7064514799444439/4094064000000$ |
$1.10261$ |
$6.09866$ |
$[1, -1, 1, 35977, -107953]$ |
\(y^2+xy+y=x^3-x^2+35977x-107953\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 40.6.0.c.1, 78.48.0.?, $\ldots$ |
$[ ]$ |
1170.l1 |
1170h2 |
1170.l |
1170h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30720$ |
$2.387932$ |
$2034416504287874043/882294347833600$ |
$1.06294$ |
$7.36674$ |
$[1, -1, 1, -712748, -115762769]$ |
\(y^2+xy+y=x^3-x^2-712748x-115762769\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[ ]$ |
1170.l2 |
1170h1 |
1170.l |
1170h |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{16} \cdot 3^{9} \cdot 5^{4} \cdot 13^{5} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$15360$ |
$2.041359$ |
$19441890357117957/15208161280000$ |
$1.08681$ |
$6.70847$ |
$[1, -1, 1, 151252, -13465169]$ |
\(y^2+xy+y=x^3-x^2+151252x-13465169\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[ ]$ |
1170.m1 |
1170m3 |
1170.m |
1170m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2 \cdot 3^{8} \cdot 5 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.776339$ |
$12501706118329/2570490$ |
$0.96978$ |
$5.20167$ |
$[1, -1, 1, -4352, 111561]$ |
\(y^2+xy+y=x^3-x^2-4352x+111561\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
1170.m2 |
1170m2 |
1170.m |
1170m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{2} \cdot 3^{10} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$512$ |
$0.429765$ |
$4165509529/1368900$ |
$0.92273$ |
$4.06833$ |
$[1, -1, 1, -302, 1401]$ |
\(y^2+xy+y=x^3-x^2-302x+1401\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[ ]$ |
1170.m3 |
1170m1 |
1170.m |
1170m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$256$ |
$0.083192$ |
$273359449/9360$ |
$0.87806$ |
$3.68278$ |
$[1, -1, 1, -122, -471]$ |
\(y^2+xy+y=x^3-x^2-122x-471\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
1170.m4 |
1170m4 |
1170.m |
1170m |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2 \cdot 3^{14} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1024$ |
$0.776339$ |
$99317171591/106616250$ |
$1.03579$ |
$4.51725$ |
$[1, -1, 1, 868, 8889]$ |
\(y^2+xy+y=x^3-x^2+868x+8889\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[ ]$ |
1170.n1 |
1170n3 |
1170.n |
1170n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{5} \cdot 3^{7} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$1.746569$ |
$71647584155243142409/10140000$ |
$1.03753$ |
$7.40435$ |
$[1, -1, 1, -778757, -264320611]$ |
\(y^2+xy+y=x^3-x^2-778757x-264320611\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.s.1.1, 40.24.0-40.bb.1.7, 120.48.0.? |
$[ ]$ |
1170.n2 |
1170n4 |
1170.n |
1170n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{5} \cdot 3^{10} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10240$ |
$1.746569$ |
$26465989780414729/10571870144160$ |
$1.02500$ |
$6.28561$ |
$[1, -1, 1, -55877, -2815459]$ |
\(y^2+xy+y=x^3-x^2-55877x-2815459\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 24.24.0-24.y.1.6, 40.24.0-40.v.1.7, $\ldots$ |
$[ ]$ |
1170.n3 |
1170n2 |
1170.n |
1170n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$5120$ |
$1.399996$ |
$17496824387403529/6580454400$ |
$1.00721$ |
$6.22703$ |
$[1, -1, 1, -48677, -4120099]$ |
\(y^2+xy+y=x^3-x^2-48677x-4120099\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 24.24.0-24.b.1.4, 40.24.0-40.a.1.6, 60.24.0-60.b.1.1, $\ldots$ |
$[ ]$ |
1170.n4 |
1170n1 |
1170.n |
1170n |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{20} \cdot 3^{7} \cdot 5 \cdot 13^{2} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$120$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2560$ |
$1.053423$ |
$-2656166199049/2658140160$ |
$0.97703$ |
$5.12454$ |
$[1, -1, 1, -2597, -83491]$ |
\(y^2+xy+y=x^3-x^2-2597x-83491\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.y.1.4, 30.6.0.a.1, 40.24.0-40.bb.1.15, $\ldots$ |
$[ ]$ |