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 |
169650.a1 |
169650dk1 |
169650.a |
169650dk |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{6} \cdot 5^{11} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15080$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$950400$ |
$1.640491$ |
$-17175508997401/9425000$ |
$0.87751$ |
$3.88023$ |
$[1, -1, 0, -120942, 16226716]$ |
\(y^2+xy=x^3-x^2-120942x+16226716\) |
15080.2.0.? |
$[]$ |
169650.b1 |
169650ep1 |
169650.b |
169650ep |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{9} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \cdot 29^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$9048$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2721600$ |
$2.090996$ |
$-276074699835195/27434308096$ |
$0.91978$ |
$4.11755$ |
$[1, -1, 0, -297492, 67678416]$ |
\(y^2+xy=x^3-x^2-297492x+67678416\) |
3.8.0-3.a.1.2, 9048.16.0.? |
$[]$ |
169650.b2 |
169650ep2 |
169650.b |
169650ep |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{27} \cdot 3^{9} \cdot 5^{8} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$9048$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$8164800$ |
$2.640305$ |
$87162024200445/50600083456$ |
$0.99947$ |
$4.55606$ |
$[1, -1, 0, 1823133, -53668459]$ |
\(y^2+xy=x^3-x^2+1823133x-53668459\) |
3.8.0-3.a.1.1, 9048.16.0.? |
$[]$ |
169650.c1 |
169650fa2 |
169650.c |
169650fa |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{14} \cdot 13^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7520256$ |
$2.672943$ |
$35283356390293803/444153125000$ |
$0.93492$ |
$4.78731$ |
$[1, -1, 0, -4612317, 3772107341]$ |
\(y^2+xy=x^3-x^2-4612317x+3772107341\) |
2.3.0.a.1, 24.6.0.a.1, 232.6.0.?, 348.6.0.?, 696.12.0.? |
$[]$ |
169650.c2 |
169650fa1 |
169650.c |
169650fa |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{10} \cdot 13^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$696$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3760128$ |
$2.326366$ |
$-43132764843/33130760000$ |
$0.96246$ |
$4.25390$ |
$[1, -1, 0, -49317, 153648341]$ |
\(y^2+xy=x^3-x^2-49317x+153648341\) |
2.3.0.a.1, 24.6.0.d.1, 174.6.0.?, 232.6.0.?, 696.12.0.? |
$[]$ |
169650.d1 |
169650dl1 |
169650.d |
169650dl |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{11} \cdot 5^{6} \cdot 13^{7} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13977600$ |
$2.887543$ |
$21942358211971079/743761560420918$ |
$1.01438$ |
$4.81074$ |
$[1, -1, 0, 1312308, 4390125966]$ |
\(y^2+xy=x^3-x^2+1312308x+4390125966\) |
9048.2.0.? |
$[]$ |
169650.e1 |
169650dm3 |
169650.e |
169650dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{6} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 29^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14155776$ |
$2.983528$ |
$5135804003824189180057/47665081152$ |
$1.01231$ |
$5.50088$ |
$[1, -1, 0, -80874342, 279959763316]$ |
\(y^2+xy=x^3-x^2-80874342x+279959763316\) |
2.3.0.a.1, 4.6.0.c.1, 26.6.0.b.1, 52.12.0.g.1, 60.12.0-4.c.1.1, $\ldots$ |
$[]$ |
169650.e2 |
169650dm2 |
169650.e |
169650dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 13^{2} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$22620$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$7077888$ |
$2.636955$ |
$1256610758033695897/3819554279424$ |
$0.98173$ |
$4.81030$ |
$[1, -1, 0, -5058342, 4368603316]$ |
\(y^2+xy=x^3-x^2-5058342x+4368603316\) |
2.6.0.a.1, 52.12.0.b.1, 60.12.0-2.a.1.1, 116.12.0.?, 780.24.0.?, $\ldots$ |
$[]$ |
169650.e3 |
169650dm4 |
169650.e |
169650dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{22} \cdot 5^{6} \cdot 13^{4} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14155776$ |
$2.983528$ |
$-254445988507992217/2281872931580736$ |
$1.00840$ |
$4.91046$ |
$[1, -1, 0, -2970342, 8003811316]$ |
\(y^2+xy=x^3-x^2-2970342x+8003811316\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 104.12.0.?, 116.12.0.?, $\ldots$ |
$[]$ |
169650.e4 |
169650dm1 |
169650.e |
169650dm |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{24} \cdot 3^{10} \cdot 5^{6} \cdot 13 \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$3538944$ |
$2.290382$ |
$886755839141017/512325844992$ |
$1.03669$ |
$4.20769$ |
$[1, -1, 0, -450342, 4827316]$ |
\(y^2+xy=x^3-x^2-450342x+4827316\) |
2.3.0.a.1, 4.6.0.c.1, 104.12.0.?, 120.12.0.?, 232.12.0.?, $\ldots$ |
$[]$ |
169650.f1 |
169650fb1 |
169650.f |
169650fb |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{2} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$3.143690840$ |
$1$ |
|
$2$ |
$59328$ |
$-0.008729$ |
$-108588195/3016$ |
$0.74795$ |
$2.08152$ |
$[1, -1, 0, -87, -299]$ |
\(y^2+xy=x^3-x^2-87x-299\) |
9048.2.0.? |
$[(35, 179)]$ |
169650.g1 |
169650dn1 |
169650.g |
169650dn |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{34} \cdot 3^{6} \cdot 5^{2} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1508$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15667200$ |
$2.984238$ |
$-5085735371462945338910185/6476810682368$ |
$1.01218$ |
$5.53910$ |
$[1, -1, 0, -94282812, 352391931216]$ |
\(y^2+xy=x^3-x^2-94282812x+352391931216\) |
1508.2.0.? |
$[]$ |
169650.h1 |
169650eq1 |
169650.h |
169650eq |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{13} \cdot 3^{9} \cdot 5^{8} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1272960$ |
$1.842514$ |
$8447054355/3088384$ |
$0.83240$ |
$3.78857$ |
$[1, -1, 0, -83742, 5680916]$ |
\(y^2+xy=x^3-x^2-83742x+5680916\) |
9048.2.0.? |
$[]$ |
169650.i1 |
169650er1 |
169650.i |
169650er |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{9} \cdot 5^{8} \cdot 13^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1.599604203$ |
$1$ |
|
$2$ |
$950400$ |
$1.570139$ |
$263671875/127426$ |
$1.22079$ |
$3.50066$ |
$[1, -1, 0, -26367, 675791]$ |
\(y^2+xy=x^3-x^2-26367x+675791\) |
9048.2.0.? |
$[(169, 928)]$ |
169650.j1 |
169650do1 |
169650.j |
169650do |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{5} \cdot 3^{7} \cdot 5^{10} \cdot 13 \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1.682813653$ |
$1$ |
|
$4$ |
$9523200$ |
$2.799564$ |
$-13611534355369215721/15998696220000$ |
$0.95680$ |
$5.00833$ |
$[1, -1, 0, -11192067, -14423475659]$ |
\(y^2+xy=x^3-x^2-11192067x-14423475659\) |
9048.2.0.? |
$[(4109, 92558)]$ |
169650.k1 |
169650fc1 |
169650.k |
169650fc |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{8} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$2.641360836$ |
$1$ |
|
$2$ |
$371712$ |
$1.164621$ |
$20956092093/19302400$ |
$0.87475$ |
$3.04930$ |
$[1, -1, 0, 4308, -84784]$ |
\(y^2+xy=x^3-x^2+4308x-84784\) |
9048.2.0.? |
$[(79, 823)]$ |
169650.l1 |
169650es1 |
169650.l |
169650es |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 13 \cdot 29^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$4.191530649$ |
$1$ |
|
$2$ |
$3890880$ |
$2.378239$ |
$13442590963125/1793987136136$ |
$1.07366$ |
$4.30488$ |
$[1, -1, 0, 108633, 208799541]$ |
\(y^2+xy=x^3-x^2+108633x+208799541\) |
9048.2.0.? |
$[(-531, 1353)]$ |
169650.m1 |
169650ct1 |
169650.m |
169650ct |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{12} \cdot 5^{9} \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$1.932258217$ |
$1$ |
|
$7$ |
$1167360$ |
$1.843170$ |
$65792478653/14291316$ |
$0.85743$ |
$3.81899$ |
$[1, -1, 0, -94617, -8829959]$ |
\(y^2+xy=x^3-x^2-94617x-8829959\) |
2.3.0.a.1, 120.6.0.?, 290.6.0.?, 696.6.0.?, 3480.12.0.? |
$[(-231, 928)]$ |
169650.m2 |
169650ct2 |
169650.m |
169650ct |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{9} \cdot 5^{9} \cdot 13^{4} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$3.864516435$ |
$1$ |
|
$4$ |
$2334720$ |
$2.189743$ |
$710448626467/1297069254$ |
$0.97205$ |
$4.08035$ |
$[1, -1, 0, 209133, -54088709]$ |
\(y^2+xy=x^3-x^2+209133x-54088709\) |
2.3.0.a.1, 120.6.0.?, 580.6.0.?, 696.6.0.?, 3480.12.0.? |
$[(255, 3844)]$ |
169650.n1 |
169650dp1 |
169650.n |
169650dp |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{6} \cdot 13 \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$45240$ |
$48$ |
$0$ |
$4.597796621$ |
$1$ |
|
$11$ |
$147456$ |
$0.796002$ |
$30664297/6032$ |
$0.78781$ |
$2.78096$ |
$[1, -1, 0, -1467, 17941]$ |
\(y^2+xy=x^3-x^2-1467x+17941\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 754.6.0.?, 1508.24.0.?, $\ldots$ |
$[(39, 118), (5, 101)]$ |
169650.n2 |
169650dp2 |
169650.n |
169650dp |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{2} \cdot 3^{6} \cdot 5^{6} \cdot 13^{2} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$45240$ |
$48$ |
$0$ |
$1.149449155$ |
$1$ |
|
$20$ |
$294912$ |
$1.142576$ |
$270840023/568516$ |
$0.90900$ |
$3.04209$ |
$[1, -1, 0, 3033, 103441]$ |
\(y^2+xy=x^3-x^2+3033x+103441\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 1508.12.0.?, 3016.24.0.?, $\ldots$ |
$[(9, 358), (-16, 233)]$ |
169650.o1 |
169650cu1 |
169650.o |
169650cu |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{43} \cdot 3^{13} \cdot 5^{8} \cdot 13^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$234057600$ |
$4.519127$ |
$-262910308689059470931061985/1225650513221253070848$ |
$1.02262$ |
$6.66936$ |
$[1, -1, 0, -8780592492, 317964846238416]$ |
\(y^2+xy=x^3-x^2-8780592492x+317964846238416\) |
9048.2.0.? |
$[]$ |
169650.p1 |
169650cv1 |
169650.p |
169650cv |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{13} \cdot 3^{7} \cdot 5^{8} \cdot 13^{3} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2021760$ |
$2.071022$ |
$-317367253345/1565810688$ |
$0.89823$ |
$4.00320$ |
$[1, -1, 0, -93492, 33982416]$ |
\(y^2+xy=x^3-x^2-93492x+33982416\) |
9048.2.0.? |
$[]$ |
169650.q1 |
169650fd1 |
169650.q |
169650fd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{21} \cdot 3^{3} \cdot 5^{8} \cdot 13^{9} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45240$ |
$16$ |
$0$ |
$29.08786308$ |
$1$ |
|
$0$ |
$113218560$ |
$4.142006$ |
$-1251701744499641551742491347/13559824919198275993600$ |
$1.02825$ |
$6.25880$ |
$[1, -1, 0, -1683915567, 26844957863341]$ |
\(y^2+xy=x^3-x^2-1683915567x+26844957863341\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 9048.8.0.?, 45240.16.0.? |
$[(-24633440032219/22903, 18719555948881243766/22903)]$ |
169650.q2 |
169650fd2 |
169650.q |
169650fd |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{7} \cdot 3^{9} \cdot 5^{12} \cdot 13^{3} \cdot 29^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45240$ |
$16$ |
$0$ |
$87.26358926$ |
$1$ |
|
$0$ |
$339655680$ |
$4.691315$ |
$62898697943298124177490037/63744399417968386000000$ |
$1.03318$ |
$6.55631$ |
$[1, -1, 0, 5592548433, 139523041719341]$ |
\(y^2+xy=x^3-x^2+5592548433x+139523041719341\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 9048.8.0.?, 45240.16.0.? |
$[(-537338584041674817033950866314466120739/155734488609756403, 8267442711153232208229036125453711845609042529320689534046/155734488609756403)]$ |
169650.r1 |
169650fe2 |
169650.r |
169650fe |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{9} \cdot 5^{12} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45240$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$3234816$ |
$2.239010$ |
$-6083088015781323/11781250$ |
$0.95305$ |
$4.64132$ |
$[1, -1, 0, -2567067, -1582444909]$ |
\(y^2+xy=x^3-x^2-2567067x-1582444909\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 9048.8.0.?, 45240.16.0.? |
$[]$ |
169650.r2 |
169650fe1 |
169650.r |
169650fe |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \cdot 29^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45240$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1078272$ |
$1.689703$ |
$-2913790403187/10716526600$ |
$1.04704$ |
$3.62483$ |
$[1, -1, 0, -22317, -3474659]$ |
\(y^2+xy=x^3-x^2-22317x-3474659\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 9048.8.0.?, 45240.16.0.? |
$[]$ |
169650.s1 |
169650dr1 |
169650.s |
169650dr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{15} \cdot 5^{10} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45240$ |
$16$ |
$0$ |
$10.90370251$ |
$1$ |
|
$0$ |
$1814400$ |
$1.956177$ |
$-7620530425/14840982$ |
$0.86654$ |
$3.89602$ |
$[1, -1, 0, -78867, -17791709]$ |
\(y^2+xy=x^3-x^2-78867x-17791709\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 9048.8.0.?, 45240.16.0.? |
$[(1253213/59, 89581336/59)]$ |
169650.s2 |
169650dr2 |
169650.s |
169650dr |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{3} \cdot 3^{9} \cdot 5^{10} \cdot 13^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$45240$ |
$16$ |
$0$ |
$3.634567506$ |
$1$ |
|
$2$ |
$5443200$ |
$2.505482$ |
$4895482323575/11573848728$ |
$0.92324$ |
$4.40411$ |
$[1, -1, 0, 680508, 379361416]$ |
\(y^2+xy=x^3-x^2+680508x+379361416\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 9048.8.0.?, 45240.16.0.? |
$[(1805, 85619)]$ |
169650.t1 |
169650dq2 |
169650.t |
169650dq |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{7} \cdot 5^{10} \cdot 13 \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$45240$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$4560000$ |
$2.397118$ |
$-16129912968025/1599869622$ |
$0.90759$ |
$4.42270$ |
$[1, -1, 0, -1012617, 424743291]$ |
\(y^2+xy=x^3-x^2-1012617x+424743291\) |
5.12.0.a.2, 15.24.0-5.a.2.1, 9048.2.0.?, 15080.24.0.?, 45240.48.1.? |
$[]$ |
169650.t2 |
169650dq1 |
169650.t |
169650dq |
$2$ |
$5$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{5} \cdot 3^{11} \cdot 5^{2} \cdot 13^{5} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$45240$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$912000$ |
$1.592400$ |
$33809954855/83728056672$ |
$0.98266$ |
$3.52248$ |
$[1, -1, 0, 1773, -1879659]$ |
\(y^2+xy=x^3-x^2+1773x-1879659\) |
5.12.0.a.1, 15.24.0-5.a.1.1, 9048.2.0.?, 15080.24.0.?, 45240.48.1.? |
$[]$ |
169650.u1 |
169650et1 |
169650.u |
169650et |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{13} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$3.076376567$ |
$1$ |
|
$2$ |
$172224$ |
$0.745846$ |
$5319404325/3088384$ |
$0.99930$ |
$2.66813$ |
$[1, -1, 0, 933, -859]$ |
\(y^2+xy=x^3-x^2+933x-859\) |
9048.2.0.? |
$[(13, 109)]$ |
169650.v1 |
169650cw1 |
169650.v |
169650cw |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{15} \cdot 3^{15} \cdot 5^{8} \cdot 13 \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30326400$ |
$3.365303$ |
$-18454054577038909003345/243154649088$ |
$0.99511$ |
$5.87442$ |
$[1, -1, 0, -362202867, 2653326935541]$ |
\(y^2+xy=x^3-x^2-362202867x+2653326935541\) |
9048.2.0.? |
$[]$ |
169650.w1 |
169650cx1 |
169650.w |
169650cx |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{17} \cdot 3^{17} \cdot 5^{4} \cdot 13^{3} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$0.809317599$ |
$1$ |
|
$4$ |
$7324416$ |
$2.799896$ |
$100605972186146295025/1479352885051392$ |
$0.98775$ |
$4.90696$ |
$[1, -1, 0, -7455942, 7737803316]$ |
\(y^2+xy=x^3-x^2-7455942x+7737803316\) |
9048.2.0.? |
$[(2529, 69813)]$ |
169650.x1 |
169650ds1 |
169650.x |
169650ds |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{6} \cdot 13^{2} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$696$ |
$2$ |
$0$ |
$1.525571051$ |
$1$ |
|
$2$ |
$1774080$ |
$2.030342$ |
$-577801395289/25323976704$ |
$0.96796$ |
$3.95891$ |
$[1, -1, 0, -39042, 26020116]$ |
\(y^2+xy=x^3-x^2-39042x+26020116\) |
696.2.0.? |
$[(3, 5088)]$ |
169650.y1 |
169650eu2 |
169650.y |
169650eu |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{15} \cdot 3^{9} \cdot 5^{4} \cdot 13^{3} \cdot 29^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$9048$ |
$16$ |
$0$ |
$8.218067165$ |
$1$ |
|
$0$ |
$5132160$ |
$2.590118$ |
$748493032396021875/1755795718144$ |
$1.02048$ |
$4.77367$ |
$[1, -1, 0, -4366617, -3503874259]$ |
\(y^2+xy=x^3-x^2-4366617x-3503874259\) |
3.8.0-3.a.1.1, 9048.16.0.? |
$[(-44645/6, 502979/6)]$ |
169650.y2 |
169650eu1 |
169650.y |
169650eu |
$2$ |
$3$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{5} \cdot 3^{3} \cdot 5^{4} \cdot 13^{9} \cdot 29 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$9048$ |
$16$ |
$0$ |
$2.739355721$ |
$1$ |
|
$6$ |
$1710720$ |
$2.040810$ |
$99048445240696875/9840975418144$ |
$1.01457$ |
$4.05830$ |
$[1, -1, 0, -247242, 43127316]$ |
\(y^2+xy=x^3-x^2-247242x+43127316\) |
3.8.0-3.a.1.2, 9048.16.0.? |
$[(79, 4868)]$ |
169650.z1 |
169650ff1 |
169650.z |
169650ff |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{3} \cdot 3^{3} \cdot 5^{10} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$5.947616593$ |
$1$ |
|
$2$ |
$362880$ |
$1.237263$ |
$6162297075/3016$ |
$0.82958$ |
$3.48229$ |
$[1, -1, 0, -24492, -1468584]$ |
\(y^2+xy=x^3-x^2-24492x-1468584\) |
9048.2.0.? |
$[(573, 12843)]$ |
169650.ba1 |
169650cy2 |
169650.ba |
169650cy |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{7} \cdot 3^{7} \cdot 5^{3} \cdot 13^{8} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$0.652043062$ |
$1$ |
|
$8$ |
$5849088$ |
$2.421539$ |
$795497689530094517/263435341962624$ |
$0.97092$ |
$4.37136$ |
$[1, -1, 0, -868662, -203592204]$ |
\(y^2+xy=x^3-x^2-868662x-203592204\) |
2.3.0.a.1, 120.6.0.?, 580.6.0.?, 696.6.0.?, 3480.12.0.? |
$[(-381, 8673)]$ |
169650.ba2 |
169650cy1 |
169650.ba |
169650cy |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{3} \cdot 13^{4} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3480$ |
$12$ |
$0$ |
$1.304086124$ |
$1$ |
|
$7$ |
$2924544$ |
$2.074966$ |
$580955924718082997/122133233664$ |
$0.95984$ |
$4.34526$ |
$[1, -1, 0, -782262, -266059404]$ |
\(y^2+xy=x^3-x^2-782262x-266059404\) |
2.3.0.a.1, 120.6.0.?, 290.6.0.?, 696.6.0.?, 3480.12.0.? |
$[(-507, 78)]$ |
169650.bb1 |
169650cz1 |
169650.bb |
169650cz |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{21} \cdot 3^{6} \cdot 5^{9} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15080$ |
$2$ |
$0$ |
$8.548623430$ |
$1$ |
|
$0$ |
$2399040$ |
$2.142815$ |
$-1249243533/790626304$ |
$0.98246$ |
$4.07097$ |
$[1, -1, 0, -25242, 51076916]$ |
\(y^2+xy=x^3-x^2-25242x+51076916\) |
15080.2.0.? |
$[(45131/7, 9595104/7)]$ |
169650.bc1 |
169650fg2 |
169650.bc |
169650fg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{6} \cdot 13 \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9048$ |
$12$ |
$0$ |
$4.271198325$ |
$1$ |
|
$2$ |
$1161216$ |
$1.779757$ |
$18810484594875/87464$ |
$0.96525$ |
$4.16141$ |
$[1, -1, 0, -373992, 88125416]$ |
\(y^2+xy=x^3-x^2-373992x+88125416\) |
2.3.0.a.1, 312.6.0.?, 348.6.0.?, 3016.6.0.?, 9048.12.0.? |
$[(365, 199)]$ |
169650.bc2 |
169650fg1 |
169650.bc |
169650fg |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$9048$ |
$12$ |
$0$ |
$2.135599162$ |
$1$ |
|
$5$ |
$580608$ |
$1.433184$ |
$-4370722875/313664$ |
$0.84772$ |
$3.47625$ |
$[1, -1, 0, -22992, 1428416]$ |
\(y^2+xy=x^3-x^2-22992x+1428416\) |
2.3.0.a.1, 174.6.0.?, 312.6.0.?, 3016.6.0.?, 9048.12.0.? |
$[(40, 736)]$ |
169650.bd1 |
169650dt3 |
169650.bd |
169650dt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2 \cdot 3^{6} \cdot 5^{11} \cdot 13^{12} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$7.457000896$ |
$1$ |
|
$0$ |
$58982400$ |
$3.702881$ |
$134428672969921312593129/4222777928449681250$ |
$1.01357$ |
$5.77201$ |
$[1, -1, 0, -240125667, 1392854340491]$ |
\(y^2+xy=x^3-x^2-240125667x+1392854340491\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 520.12.0.?, 1160.12.0.?, $\ldots$ |
$[(131797/3, 27026768/3)]$ |
169650.bd2 |
169650dt2 |
169650.bd |
169650dt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{2} \cdot 3^{6} \cdot 5^{16} \cdot 13^{6} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$45240$ |
$48$ |
$0$ |
$3.728500448$ |
$1$ |
|
$6$ |
$29491200$ |
$3.356308$ |
$461318138587542093129/158568217539062500$ |
$1.05587$ |
$5.30075$ |
$[1, -1, 0, -36219417, -53452690759]$ |
\(y^2+xy=x^3-x^2-36219417x-53452690759\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 260.12.0.?, 780.24.0.?, 1160.12.0.?, $\ldots$ |
$[(-2717, 159133)]$ |
169650.bd3 |
169650dt1 |
169650.bd |
169650dt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{11} \cdot 13^{3} \cdot 29^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$7.457000896$ |
$1$ |
|
$1$ |
$14745600$ |
$3.009735$ |
$331294738083389475849/77694817850000$ |
$0.99188$ |
$5.27325$ |
$[1, -1, 0, -32434917, -71077107259]$ |
\(y^2+xy=x^3-x^2-32434917x-71077107259\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 130.6.0.?, 260.12.0.?, $\ldots$ |
$[(66166/3, 7900301/3)]$ |
169650.bd4 |
169650dt4 |
169650.bd |
169650dt |
$4$ |
$4$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{6} \cdot 5^{26} \cdot 13^{3} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$45240$ |
$48$ |
$0$ |
$7.457000896$ |
$4$ |
$2$ |
$2$ |
$58982400$ |
$3.702881$ |
$11939008088987108027991/12152290344238281250$ |
$1.06977$ |
$5.57094$ |
$[1, -1, 0, 107134833, -371842480009]$ |
\(y^2+xy=x^3-x^2+107134833x-371842480009\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 520.12.0.?, 780.12.0.?, $\ldots$ |
$[(22633, 3682783)]$ |
169650.be1 |
169650ev1 |
169650.be |
169650ev |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2^{5} \cdot 3^{3} \cdot 5^{4} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$2.497692974$ |
$1$ |
|
$2$ |
$52800$ |
$0.274961$ |
$-492075/12064$ |
$0.84226$ |
$2.20983$ |
$[1, -1, 0, -42, -684]$ |
\(y^2+xy=x^3-x^2-42x-684\) |
9048.2.0.? |
$[(15, 36)]$ |
169650.bf1 |
169650du1 |
169650.bf |
169650du |
$1$ |
$1$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( - 2 \cdot 3^{7} \cdot 5^{6} \cdot 13 \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$9048$ |
$2$ |
$0$ |
$0.773774799$ |
$1$ |
|
$4$ |
$129024$ |
$0.677089$ |
$-15625/2262$ |
$0.89707$ |
$2.61023$ |
$[1, -1, 0, -117, -7709]$ |
\(y^2+xy=x^3-x^2-117x-7709\) |
9048.2.0.? |
$[(29, 98)]$ |
169650.bg1 |
169650ew2 |
169650.bg |
169650ew |
$2$ |
$2$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 13 \cdot 29 \) |
\( 2^{3} \cdot 3^{9} \cdot 5^{9} \cdot 13^{2} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$45240$ |
$12$ |
$0$ |
$2.904127565$ |
$1$ |
|
$4$ |
$1244160$ |
$1.903790$ |
$4665834711/1137032$ |
$0.86751$ |
$3.87294$ |
$[1, -1, 0, -117492, 11823416]$ |
\(y^2+xy=x^3-x^2-117492x+11823416\) |
2.3.0.a.1, 120.6.0.?, 3016.6.0.?, 22620.6.0.?, 45240.12.0.? |
$[(25, 2971)]$ |