| 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 |
| 332350.a1 |
332350a1 |
332350.a |
332350a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{7} \cdot 5^{2} \cdot 17^{6} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$3.246499544$ |
$1$ |
|
$2$ |
$2411136$ |
$1.291756$ |
$2109375/67712$ |
$1.22054$ |
$3.05001$ |
$[1, -1, 0, 2258, -305324]$ |
\(y^2+xy=x^3-x^2+2258x-305324\) |
8.2.0.a.1 |
$[(73, 458)]$ |
| 332350.b1 |
332350b1 |
332350.b |
332350b |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{22} \cdot 5^{9} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3910$ |
$2$ |
$0$ |
$4.787827676$ |
$1$ |
|
$0$ |
$58392576$ |
$3.071571$ |
$4095232047999/204996608000$ |
$0.96193$ |
$4.73065$ |
$[1, -1, 0, 2408183, -13300956659]$ |
\(y^2+xy=x^3-x^2+2408183x-13300956659\) |
3910.2.0.? |
$[(864866/7, 803398569/7)]$ |
| 332350.c1 |
332350c1 |
332350.c |
332350c |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2 \cdot 5^{9} \cdot 17^{3} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15640$ |
$2$ |
$0$ |
$2.090638271$ |
$1$ |
|
$0$ |
$614400$ |
$0.915310$ |
$-2197/46$ |
$0.73595$ |
$2.69745$ |
$[1, 0, 1, -576, -32452]$ |
\(y^2+xy+y=x^3-576x-32452\) |
15640.2.0.? |
$[(283/2, 3963/2)]$ |
| 332350.d1 |
332350d1 |
332350.d |
332350d |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{6} \cdot 5^{10} \cdot 17^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$14100480$ |
$2.538471$ |
$1176147025/425408$ |
$0.93797$ |
$4.24567$ |
$[1, 0, 1, -1358451, 373070798]$ |
\(y^2+xy+y=x^3-1358451x+373070798\) |
92.2.0.? |
$[]$ |
| 332350.e1 |
332350e1 |
332350.e |
332350e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{5} \cdot 5^{9} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15640$ |
$2$ |
$0$ |
$0.421093127$ |
$1$ |
|
$6$ |
$4976640$ |
$2.122223$ |
$-4750104241/1564000$ |
$0.92975$ |
$3.88453$ |
$[1, 0, 1, -253026, 61340948]$ |
\(y^2+xy+y=x^3-253026x+61340948\) |
15640.2.0.? |
$[(772, 17676)]$ |
| 332350.f1 |
332350f1 |
332350.f |
332350f |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{7} \cdot 17^{11} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$15640$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30412800$ |
$3.118572$ |
$260170604658719/334404720640$ |
$0.91544$ |
$4.72300$ |
$[1, 0, 1, 9609099, 12669688448]$ |
\(y^2+xy+y=x^3+9609099x+12669688448\) |
15640.2.0.? |
$[]$ |
| 332350.g1 |
332350g1 |
332350.g |
332350g |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2 \cdot 5^{8} \cdot 17^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$184$ |
$2$ |
$0$ |
$1.084650677$ |
$1$ |
|
$4$ |
$200448$ |
$0.545779$ |
$-83521/1150$ |
$0.87392$ |
$2.34911$ |
$[1, 0, 1, -151, -3552]$ |
\(y^2+xy+y=x^3-151x-3552\) |
184.2.0.? |
$[(22, 51)]$ |
| 332350.h1 |
332350h1 |
332350.h |
332350h |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 5^{8} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1.104444608$ |
$1$ |
|
$4$ |
$6220800$ |
$2.024509$ |
$53969305/23552$ |
$0.88421$ |
$3.75011$ |
$[1, 0, 1, -166326, -12960952]$ |
\(y^2+xy+y=x^3-166326x-12960952\) |
92.2.0.? |
$[(-248, 3736)]$ |
| 332350.i1 |
332350i2 |
332350.i |
332350i |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 5^{2} \cdot 17^{12} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$23460$ |
$16$ |
$0$ |
$8.573694529$ |
$1$ |
|
$0$ |
$67184640$ |
$3.413212$ |
$571868835456479961505/300730165271552$ |
$0.98218$ |
$5.34953$ |
$[1, 0, 1, -146128666, -679612893492]$ |
\(y^2+xy+y=x^3-146128666x-679612893492\) |
3.4.0.a.1, 92.2.0.?, 255.8.0.?, 276.8.0.?, 23460.16.0.? |
$[(-1594691/15, 38652847/15)]$ |
| 332350.i2 |
332350i1 |
332350.i |
332350i |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{30} \cdot 5^{2} \cdot 17^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$23460$ |
$16$ |
$0$ |
$2.857898176$ |
$1$ |
|
$0$ |
$22394880$ |
$2.863907$ |
$31484409585983905/7137161904128$ |
$0.94400$ |
$4.57816$ |
$[1, 0, 1, -5559066, 3934160588]$ |
\(y^2+xy+y=x^3-5559066x+3934160588\) |
3.4.0.a.1, 92.2.0.?, 255.8.0.?, 276.8.0.?, 23460.16.0.? |
$[(11701/5, 4705661/5)]$ |
| 332350.j1 |
332350j2 |
332350.j |
332350j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{5} \cdot 5^{12} \cdot 17^{10} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$46920$ |
$16$ |
$0$ |
$44.90517279$ |
$1$ |
|
$0$ |
$142767360$ |
$3.800339$ |
$-107913623522689/6083500000$ |
$0.94052$ |
$5.53676$ |
$[1, 0, 1, -313247251, -2235472423602]$ |
\(y^2+xy+y=x^3-313247251x-2235472423602\) |
3.4.0.a.1, 184.2.0.?, 255.8.0.?, 552.8.0.?, 46920.16.0.? |
$[(1758072183454419086308/41961807, 73666319769484896170486155922938/41961807)]$ |
| 332350.j2 |
332350j1 |
332350.j |
332350j |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{15} \cdot 5^{8} \cdot 17^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$46920$ |
$16$ |
$0$ |
$14.96839093$ |
$1$ |
|
$0$ |
$47589120$ |
$3.251034$ |
$31761747071/18841600$ |
$1.04227$ |
$4.88993$ |
$[1, 0, 1, 20836749, -5795807602]$ |
\(y^2+xy+y=x^3+20836749x-5795807602\) |
3.4.0.a.1, 184.2.0.?, 255.8.0.?, 552.8.0.?, 46920.16.0.? |
$[(10840132/81, 96308782246/81)]$ |
| 332350.k1 |
332350k1 |
332350.k |
332350k |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{6} \cdot 5^{6} \cdot 17^{3} \cdot 23^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1.083698504$ |
$1$ |
|
$7$ |
$688128$ |
$1.073866$ |
$64481201/33856$ |
$0.89286$ |
$2.84240$ |
$[1, 0, 1, -3551, 24498]$ |
\(y^2+xy+y=x^3-3551x+24498\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[(-18, 296)]$ |
| 332350.k2 |
332350k2 |
332350.k |
332350k |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{3} \cdot 5^{6} \cdot 17^{3} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$2.167397008$ |
$1$ |
|
$4$ |
$1376256$ |
$1.420439$ |
$3504881359/2238728$ |
$1.20236$ |
$3.15667$ |
$[1, 0, 1, 13449, 194498]$ |
\(y^2+xy+y=x^3+13449x+194498\) |
2.3.0.a.1, 8.6.0.e.1, 68.6.0.c.1, 136.12.0.? |
$[(92, 1441)]$ |
| 332350.l1 |
332350l2 |
332350.l |
332350l |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{7} \cdot 5^{6} \cdot 17^{8} \cdot 23^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$38.29538632$ |
$1$ |
|
$0$ |
$278691840$ |
$3.969471$ |
$109906713160213524625/2896879967514752$ |
$0.99900$ |
$5.72616$ |
$[1, 0, 1, -721004576, -7280081405202]$ |
\(y^2+xy+y=x^3-721004576x-7280081405202\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[(2784750388836146532/7437649, 3760421780609325529516226729/7437649)]$ |
| 332350.l2 |
332350l1 |
332350.l |
332350l |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{14} \cdot 5^{6} \cdot 17^{7} \cdot 23^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$19.14769316$ |
$1$ |
|
$1$ |
$139345920$ |
$3.622898$ |
$107805659942195988625/77943554048$ |
$0.99843$ |
$5.72464$ |
$[1, 0, 1, -716380576, -7380181757202]$ |
\(y^2+xy+y=x^3-716380576x-7380181757202\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[(740464850578/2287, 623990317517212218/2287)]$ |
| 332350.m1 |
332350m1 |
332350.m |
332350m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 17^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5434560$ |
$2.143620$ |
$-186745/368$ |
$0.72661$ |
$3.86674$ |
$[1, 1, 0, -166325, -54867875]$ |
\(y^2+xy=x^3+x^2-166325x-54867875\) |
46.2.0.a.1 |
$[]$ |
| 332350.n1 |
332350n1 |
332350.n |
332350n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{6} \cdot 5^{8} \cdot 17^{7} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4976640$ |
$2.274666$ |
$-9765625/575552$ |
$1.05036$ |
$3.98007$ |
$[1, 1, 0, -94075, -112667875]$ |
\(y^2+xy=x^3+x^2-94075x-112667875\) |
68.2.0.a.1 |
$[]$ |
| 332350.o1 |
332350o2 |
332350.o |
332350o |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{40} \cdot 5^{3} \cdot 17^{9} \cdot 23 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3910$ |
$48$ |
$1$ |
$20.59330341$ |
$1$ |
|
$4$ |
$114892800$ |
$3.789772$ |
$-15007261964502781/25288767438848$ |
$1.03625$ |
$5.42228$ |
$[1, 1, 0, -126233905, 1079648611925]$ |
\(y^2+xy=x^3+x^2-126233905x+1079648611925\) |
5.6.0.a.1, 85.24.0.?, 230.12.0.?, 3910.48.1.? |
$[(20290, 2611295), (476336786/13, 10392941356875/13)]$ |
| 332350.o2 |
332350o1 |
332350.o |
332350o |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{8} \cdot 5^{3} \cdot 17^{9} \cdot 23^{5} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$3910$ |
$48$ |
$1$ |
$20.59330341$ |
$1$ |
|
$4$ |
$22978560$ |
$2.985054$ |
$-804616497901/1647703808$ |
$1.05069$ |
$4.66051$ |
$[1, 1, 0, -4759980, -8517633200]$ |
\(y^2+xy=x^3+x^2-4759980x-8517633200\) |
5.6.0.a.1, 85.24.0.?, 230.12.0.?, 3910.48.1.? |
$[(4744, 272756), (106915/6, 12551315/6)]$ |
| 332350.p1 |
332350p2 |
332350.p |
332350p |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{2} \cdot 5^{2} \cdot 17^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$1.507190348$ |
$1$ |
|
$2$ |
$3172608$ |
$1.995018$ |
$-72646979665/48668$ |
$0.87051$ |
$4.00306$ |
$[1, 1, 0, -485670, -130552640]$ |
\(y^2+xy=x^3+x^2-485670x-130552640\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 46.2.0.a.1, 138.8.0.?, 690.16.0.? |
$[(1854, 72190)]$ |
| 332350.p2 |
332350p1 |
332350.p |
332350p |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{6} \cdot 5^{2} \cdot 17^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$690$ |
$16$ |
$0$ |
$4.521571045$ |
$1$ |
|
$2$ |
$1057536$ |
$1.445711$ |
$113135/1472$ |
$0.77141$ |
$3.19241$ |
$[1, 1, 0, 5630, -751180]$ |
\(y^2+xy=x^3+x^2+5630x-751180\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 46.2.0.a.1, 138.8.0.?, 690.16.0.? |
$[(196, 2718)]$ |
| 332350.q1 |
332350q1 |
332350.q |
332350q |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{7} \cdot 5^{9} \cdot 17^{9} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$4.762876125$ |
$1$ |
|
$2$ |
$62146560$ |
$3.460571$ |
$73560059/35819648$ |
$0.97027$ |
$5.09924$ |
$[1, 1, 0, 5360800, 138500944000]$ |
\(y^2+xy=x^3+x^2+5360800x+138500944000\) |
680.2.0.? |
$[(-169, 371016)]$ |
| 332350.r1 |
332350r1 |
332350.r |
332350r |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{6} \cdot 5^{8} \cdot 17^{10} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$21.08888641$ |
$1$ |
|
$0$ |
$68739840$ |
$3.402142$ |
$-4580714604505/1472$ |
$0.93323$ |
$5.53412$ |
$[1, 1, 0, -319511325, 2198119592125]$ |
\(y^2+xy=x^3+x^2-319511325x+2198119592125\) |
3.4.0.a.1, 46.2.0.a.1, 51.8.0-3.a.1.2, 138.8.0.?, 2346.16.0.? |
$[(3657803989/535, 67881821422643/535)]$ |
| 332350.r2 |
332350r2 |
332350.r |
332350r |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{18} \cdot 5^{8} \cdot 17^{10} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2346$ |
$16$ |
$0$ |
$7.029628804$ |
$1$ |
|
$2$ |
$206219520$ |
$3.951450$ |
$-2682399724105/3189506048$ |
$0.94843$ |
$5.57986$ |
$[1, 1, 0, -267310700, 2939942674000]$ |
\(y^2+xy=x^3+x^2-267310700x+2939942674000\) |
3.4.0.a.1, 46.2.0.a.1, 51.8.0-3.a.1.1, 138.8.0.?, 2346.16.0.? |
$[(71835, 18790445)]$ |
| 332350.s1 |
332350s1 |
332350.s |
332350s |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{8} \cdot 5^{7} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3910$ |
$2$ |
$0$ |
$0.899288450$ |
$1$ |
|
$4$ |
$3538944$ |
$2.105804$ |
$-23912763841/500480$ |
$0.81677$ |
$3.97903$ |
$[1, 1, 0, -433650, 111704500]$ |
\(y^2+xy=x^3+x^2-433650x+111704500\) |
3910.2.0.? |
$[(324, 2150)]$ |
| 332350.t1 |
332350t1 |
332350.t |
332350t |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{8} \cdot 17^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3128$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$7299072$ |
$2.337547$ |
$-70393838689/20019200$ |
$0.83521$ |
$4.09259$ |
$[1, 1, 0, -621500, 230050000]$ |
\(y^2+xy=x^3+x^2-621500x+230050000\) |
3128.2.0.? |
$[]$ |
| 332350.u1 |
332350u1 |
332350.u |
332350u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{4} \cdot 17^{7} \cdot 23^{6} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$24883200$ |
$3.056408$ |
$-12375188227065625/2577008755712$ |
$0.99051$ |
$4.78206$ |
$[1, 1, 0, -11906950, 18436385300]$ |
\(y^2+xy=x^3+x^2-11906950x+18436385300\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 51.8.0-3.a.1.2, 68.2.0.a.1, 204.16.0.? |
$[]$ |
| 332350.u2 |
332350u2 |
332350.u |
332350u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{30} \cdot 5^{4} \cdot 17^{9} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$74649600$ |
$3.605713$ |
$4289922792433184375/2790630304514048$ |
$1.03921$ |
$5.21788$ |
$[1, 1, 0, 83643675, -103681135475]$ |
\(y^2+xy=x^3+x^2+83643675x-103681135475\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 51.8.0-3.a.1.1, 68.2.0.a.1, 204.16.0.? |
$[]$ |
| 332350.v1 |
332350v1 |
332350.v |
332350v |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{10} \cdot 5^{10} \cdot 17^{7} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17971200$ |
$2.883621$ |
$-423869650225/9208832$ |
$0.87539$ |
$4.71161$ |
$[1, 1, 0, -9667200, 11780224000]$ |
\(y^2+xy=x^3+x^2-9667200x+11780224000\) |
68.2.0.a.1 |
$[]$ |
| 332350.w1 |
332350w1 |
332350.w |
332350w |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{2} \cdot 5^{4} \cdot 17^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$3.279239492$ |
$1$ |
|
$2$ |
$76032$ |
$0.150585$ |
$-2088025/92$ |
$0.87668$ |
$2.10236$ |
$[1, 1, 0, -150, -800]$ |
\(y^2+xy=x^3+x^2-150x-800\) |
46.2.0.a.1 |
$[(19, 51)]$ |
| 332350.x1 |
332350x1 |
332350.x |
332350x |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{40} \cdot 5^{8} \cdot 17^{2} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$15.59024614$ |
$1$ |
|
$0$ |
$16934400$ |
$2.798832$ |
$-2157612017223865/25288767438848$ |
$0.98774$ |
$4.47589$ |
$[1, 1, 0, -1301075, -2633937875]$ |
\(y^2+xy=x^3+x^2-1301075x-2633937875\) |
46.2.0.a.1 |
$[(36459585/119, 175304296180/119)]$ |
| 332350.y1 |
332350y1 |
332350.y |
332350y |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{8} \cdot 5^{8} \cdot 17^{8} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$1.381423428$ |
$1$ |
|
$4$ |
$36495360$ |
$3.104206$ |
$549545611868505/900163328$ |
$0.93653$ |
$5.01928$ |
$[1, -1, 0, -36050492, 83204430416]$ |
\(y^2+xy=x^3-x^2-36050492x+83204430416\) |
92.2.0.? |
$[(2920, 51716)]$ |
| 332350.z1 |
332350z1 |
332350.z |
332350z |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2 \cdot 5^{6} \cdot 17^{2} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$131040$ |
$0.341238$ |
$610929/46$ |
$0.98706$ |
$2.25310$ |
$[1, -1, 0, -292, 1866]$ |
\(y^2+xy=x^3-x^2-292x+1866\) |
184.2.0.? |
$[]$ |
| 332350.ba1 |
332350ba1 |
332350.ba |
332350ba |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{20} \cdot 5^{10} \cdot 17^{6} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$92$ |
$2$ |
$0$ |
$6.932622648$ |
$1$ |
|
$0$ |
$29952000$ |
$3.089828$ |
$22180666338225/24117248$ |
$1.26739$ |
$5.01999$ |
$[1, -1, 0, -36158867, 83619759541]$ |
\(y^2+xy=x^3-x^2-36158867x+83619759541\) |
92.2.0.? |
$[(27385/3, 1091947/3)]$ |
| 332350.bb1 |
332350bb4 |
332350.bb |
332350bb |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{5} \cdot 5^{6} \cdot 17^{10} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$58982400$ |
$3.517937$ |
$81399873824350973793/1413843488$ |
$1.08621$ |
$5.70254$ |
$[1, -1, 0, -652335767, -6412743209859]$ |
\(y^2+xy=x^3-x^2-652335767x-6412743209859\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.3, 136.24.0.?, $\ldots$ |
$[]$ |
| 332350.bb2 |
332350bb2 |
332350.bb |
332350bb |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{10} \cdot 5^{6} \cdot 17^{8} \cdot 23^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$29491200$ |
$3.171360$ |
$19932710512768353/82815026176$ |
$1.02074$ |
$5.04856$ |
$[1, -1, 0, -40811767, -99980957859]$ |
\(y^2+xy=x^3-x^2-40811767x-99980957859\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 40.24.0-8.a.1.3, 68.12.0.b.1, $\ldots$ |
$[]$ |
| 332350.bb3 |
332350bb3 |
332350.bb |
332350bb |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{5} \cdot 5^{6} \cdot 17^{7} \cdot 23^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$58982400$ |
$3.517937$ |
$-2778067622280033/42601175992864$ |
$1.06021$ |
$5.15423$ |
$[1, -1, 0, -21159767, -196452625859]$ |
\(y^2+xy=x^3-x^2-21159767x-196452625859\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.1, 40.24.0-8.p.1.6, $\ldots$ |
$[]$ |
| 332350.bb4 |
332350bb1 |
332350.bb |
332350bb |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2^{20} \cdot 5^{6} \cdot 17^{7} \cdot 23^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$680$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$14745600$ |
$2.824787$ |
$16342588257633/9429843968$ |
$1.05139$ |
$4.48961$ |
$[1, -1, 0, -3819767, 156386141]$ |
\(y^2+xy=x^3-x^2-3819767x+156386141\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 20.12.0-4.c.1.2, 34.6.0.a.1, $\ldots$ |
$[]$ |
| 332350.bc1 |
332350bc1 |
332350.bc |
332350bc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( 2 \cdot 5^{6} \cdot 17^{8} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$184$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2227680$ |
$1.757845$ |
$610929/46$ |
$0.98706$ |
$3.59016$ |
$[1, -1, 0, -84442, 8829966]$ |
\(y^2+xy=x^3-x^2-84442x+8829966\) |
184.2.0.? |
$[]$ |
| 332350.bd1 |
332350bd1 |
332350.bd |
332350bd |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{40} \cdot 5^{8} \cdot 17^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$63.69920474$ |
$1$ |
|
$0$ |
$287884800$ |
$4.215439$ |
$-2157612017223865/25288767438848$ |
$0.98774$ |
$5.81295$ |
$[1, 0, 1, -376010826, -12937904704452]$ |
\(y^2+xy+y=x^3-376010826x-12937904704452\) |
46.2.0.a.1 |
$[(127690864269113522849798133544/2081799645477, 11137939844195977979581839862103612347881743/2081799645477)]$ |
| 332350.be1 |
332350be1 |
332350.be |
332350be |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{9} \cdot 5^{8} \cdot 17^{7} \cdot 23^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3128$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$109486080$ |
$3.701473$ |
$-117399160931444643889/1400548236800$ |
$1.04745$ |
$5.73135$ |
$[1, 0, 1, -737029626, 7701521711148]$ |
\(y^2+xy+y=x^3-737029626x+7701521711148\) |
3128.2.0.? |
$[]$ |
| 332350.bf1 |
332350bf1 |
332350.bf |
332350bf |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{2} \cdot 5^{21} \cdot 17^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$3910$ |
$2$ |
$0$ |
$5.872352599$ |
$1$ |
|
$2$ |
$557383680$ |
$4.573044$ |
$-49841557909700385914920801/47729492187500$ |
$1.00838$ |
$6.75060$ |
$[1, 0, 1, -55393713901, 5018089927246948]$ |
\(y^2+xy+y=x^3-55393713901x+5018089927246948\) |
3910.2.0.? |
$[(192617, 38564666)]$ |
| 332350.bg1 |
332350bg1 |
332350.bg |
332350bg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{2} \cdot 5^{4} \cdot 17^{8} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$46$ |
$2$ |
$0$ |
$1.733343977$ |
$1$ |
|
$2$ |
$1292544$ |
$1.567192$ |
$-2088025/92$ |
$0.87668$ |
$3.43942$ |
$[1, 0, 1, -43501, -3626252]$ |
\(y^2+xy+y=x^3-43501x-3626252\) |
46.2.0.a.1 |
$[(602, 13426)]$ |
| 332350.bh1 |
332350bh1 |
332350.bh |
332350bh |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{11} \cdot 5^{7} \cdot 17^{7} \cdot 23^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$7.665414355$ |
$1$ |
|
$0$ |
$8515584$ |
$2.430309$ |
$7066834559/92088320$ |
$0.86544$ |
$4.12173$ |
$[1, 0, 1, 288849, -277150302]$ |
\(y^2+xy+y=x^3+288849x-277150302\) |
680.2.0.? |
$[(25638/7, 1336383/7)]$ |
| 332350.bi1 |
332350bi2 |
332350.bi |
332350bi |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2 \cdot 5^{12} \cdot 17^{7} \cdot 23^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$46920$ |
$16$ |
$0$ |
$19.47110009$ |
$1$ |
|
$0$ |
$17915904$ |
$2.870846$ |
$-155799034954129/6463718750$ |
$0.89386$ |
$4.67241$ |
$[1, 0, 1, -8099376, -9185271852]$ |
\(y^2+xy+y=x^3-8099376x-9185271852\) |
3.4.0.a.1, 255.8.0.?, 2760.8.0.?, 3128.2.0.?, 9384.8.0.?, $\ldots$ |
$[(49334782942/69, 10956260743888084/69)]$ |
| 332350.bi2 |
332350bi1 |
332350.bi |
332350bi |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{3} \cdot 5^{8} \cdot 17^{9} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$46920$ |
$16$ |
$0$ |
$6.490366699$ |
$1$ |
|
$0$ |
$5971968$ |
$2.321541$ |
$36297569231/22599800$ |
$0.86046$ |
$4.00906$ |
$[1, 0, 1, 498374, -37265852]$ |
\(y^2+xy+y=x^3+498374x-37265852\) |
3.4.0.a.1, 255.8.0.?, 2760.8.0.?, 3128.2.0.?, 9384.8.0.?, $\ldots$ |
$[(179228/23, 156806932/23)]$ |
| 332350.bj1 |
332350bj1 |
332350.bj |
332350bj |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{4} \cdot 5^{8} \cdot 17^{9} \cdot 23^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$3.428532652$ |
$1$ |
|
$2$ |
$69672960$ |
$3.582207$ |
$-873332836649578345/21997741328$ |
$0.95496$ |
$5.59904$ |
$[1, 0, 1, -420697451, -3321367786202]$ |
\(y^2+xy+y=x^3-420697451x-3321367786202\) |
68.2.0.a.1 |
$[(776227, 683255836)]$ |
| 332350.bk1 |
332350bk1 |
332350.bk |
332350bk |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{16} \cdot 5^{2} \cdot 17^{7} \cdot 23^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4866048$ |
$2.210350$ |
$-105180022350625/589365248$ |
$0.94615$ |
$4.13046$ |
$[1, 0, 1, -831026, -293065532]$ |
\(y^2+xy+y=x^3-831026x-293065532\) |
68.2.0.a.1 |
$[]$ |
| 332350.bl1 |
332350bl1 |
332350.bl |
332350bl |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 17^{2} \cdot 23 \) |
\( - 2^{6} \cdot 5^{8} \cdot 17^{4} \cdot 23 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$138$ |
$16$ |
$0$ |
$6.646139410$ |
$1$ |
|
$2$ |
$4043520$ |
$1.985537$ |
$-4580714604505/1472$ |
$0.93323$ |
$4.19706$ |
$[1, 0, 1, -1105576, 447343798]$ |
\(y^2+xy+y=x^3-1105576x+447343798\) |
3.8.0-3.a.1.2, 46.2.0.a.1, 138.16.0.? |
$[(-2233/2, 240977/2)]$ |
