| 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 |
| 252050.a1 |
252050a1 |
252050.a |
252050a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{3} \cdot 5^{10} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12700800$ |
$2.685722$ |
$304175/568$ |
$0.78784$ |
$4.42990$ |
$[1, 0, 1, 1509674, 1065522048]$ |
\(y^2+xy+y=x^3+1509674x+1065522048\) |
568.2.0.? |
$[]$ |
| 252050.b1 |
252050b1 |
252050.b |
252050b |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{5} \cdot 5^{2} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3024000$ |
$1.972441$ |
$-2766938305/2272$ |
$0.86124$ |
$4.06335$ |
$[1, 0, 1, -431111, 108992298]$ |
\(y^2+xy+y=x^3-431111x+108992298\) |
568.2.0.? |
$[]$ |
| 252050.c1 |
252050c1 |
252050.c |
252050c |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{3} \cdot 5^{8} \cdot 71^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$34.83610066$ |
$1$ |
|
$0$ |
$18144000$ |
$2.851246$ |
$-864043465/40328$ |
$0.84951$ |
$4.75231$ |
$[1, 1, 0, -7312075, -7914422875]$ |
\(y^2+xy=x^3+x^2-7312075x-7914422875\) |
8.2.0.a.1 |
$[(68292356307892229/4163023, 11146045743401289942700441/4163023)]$ |
| 252050.d1 |
252050d2 |
252050.d |
252050d |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2 \cdot 5^{6} \cdot 71^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8709120$ |
$2.832523$ |
$21601086625/715822$ |
$0.92037$ |
$4.74607$ |
$[1, 1, 0, -7312075, 7386272375]$ |
\(y^2+xy=x^3+x^2-7312075x+7386272375\) |
3.4.0.a.1, 120.8.0.?, 568.2.0.?, 1065.8.0.?, 1704.8.0.?, $\ldots$ |
$[]$ |
| 252050.d2 |
252050d1 |
252050.d |
252050d |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{3} \cdot 5^{6} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2903040$ |
$2.283215$ |
$57066625/568$ |
$0.85335$ |
$4.26878$ |
$[1, 1, 0, -1010825, -388209875]$ |
\(y^2+xy=x^3+x^2-1010825x-388209875\) |
3.4.0.a.1, 120.8.0.?, 568.2.0.?, 1065.8.0.?, 1704.8.0.?, $\ldots$ |
$[]$ |
| 252050.e1 |
252050e1 |
252050.e |
252050e |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{31} \cdot 5^{4} \cdot 71^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$58.74262849$ |
$1$ |
|
$0$ |
$142490880$ |
$3.853188$ |
$-2104290928515625/10825465069568$ |
$1.10773$ |
$5.59507$ |
$[1, 1, 0, -115063450, 1493931425300]$ |
\(y^2+xy=x^3+x^2-115063450x+1493931425300\) |
8.2.0.a.1 |
$[(27131447242784750496583639/358686835302, 55939595785530847899837255353614187400329/358686835302)]$ |
| 252050.f1 |
252050f1 |
252050.f |
252050f |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{6} \cdot 5^{6} \cdot 71^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$1420$ |
$16$ |
$0$ |
$3.759520916$ |
$1$ |
|
$8$ |
$120960$ |
$0.664515$ |
$-4211649/64$ |
$0.92442$ |
$2.69038$ |
$[1, -1, 0, -1442, 21716]$ |
\(y^2+xy=x^3-x^2-1442x+21716\) |
4.8.0.b.1, 1420.16.0.? |
$[(20, 14), (28, 38)]$ |
| 252050.g1 |
252050g1 |
252050.g |
252050g |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{6} \cdot 5^{6} \cdot 71^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$20$ |
$16$ |
$0$ |
$1$ |
$16$ |
$2$ |
$0$ |
$8588160$ |
$2.795856$ |
$-4211649/64$ |
$0.92442$ |
$4.74677$ |
$[1, -1, 0, -7270067, -7641539659]$ |
\(y^2+xy=x^3-x^2-7270067x-7641539659\) |
4.8.0.b.1, 20.16.0-4.b.1.1 |
$[]$ |
| 252050.h1 |
252050h1 |
252050.h |
252050h |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{5} \cdot 5^{6} \cdot 71^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$2840$ |
$60$ |
$3$ |
$2.933260876$ |
$1$ |
|
$4$ |
$921600$ |
$1.317364$ |
$3131359847/32$ |
$0.98740$ |
$3.56260$ |
$[1, 0, 1, -54101, 4838848]$ |
\(y^2+xy+y=x^3-54101x+4838848\) |
5.15.0.a.1, 40.30.1.d.1, 355.30.0.?, 568.2.0.?, 2840.60.3.? |
$[(136, -33), (523/2, 23/2)]$ |
| 252050.i1 |
252050i1 |
252050.i |
252050i |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{9} \cdot 5^{8} \cdot 71^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$154586880$ |
$3.882210$ |
$-165946958207281/12800$ |
$0.97656$ |
$6.15087$ |
$[1, 0, 1, -2473873376, 47360082692398]$ |
\(y^2+xy+y=x^3-2473873376x+47360082692398\) |
8.2.0.a.1 |
$[]$ |
| 252050.j1 |
252050j1 |
252050.j |
252050j |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{10} \cdot 71^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$308880$ |
$0.795853$ |
$1775/2$ |
$0.71614$ |
$2.58103$ |
$[1, 0, 1, 924, -10452]$ |
\(y^2+xy+y=x^3+924x-10452\) |
8.2.0.a.1 |
$[]$ |
| 252050.k1 |
252050k1 |
252050.k |
252050k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{2} \cdot 5^{7} \cdot 71^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$30917376$ |
$3.291981$ |
$-5041/20$ |
$0.81705$ |
$5.05492$ |
$[1, 0, 1, -13235251, 51943578898]$ |
\(y^2+xy+y=x^3-13235251x+51943578898\) |
20.2.0.a.1 |
$[]$ |
| 252050.l1 |
252050l1 |
252050.l |
252050l |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{7} \cdot 5^{8} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13547520$ |
$2.803391$ |
$37966934881/227200$ |
$0.87129$ |
$4.79142$ |
$[1, 0, 1, -8824376, -10038036602]$ |
\(y^2+xy+y=x^3-8824376x-10038036602\) |
568.2.0.? |
$[]$ |
| 252050.m1 |
252050m2 |
252050.m |
252050m |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{3} \cdot 5^{4} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$8520$ |
$384$ |
$9$ |
$6.844086915$ |
$1$ |
|
$0$ |
$2116800$ |
$1.954546$ |
$-349938025/8$ |
$1.05078$ |
$4.15579$ |
$[1, 0, 1, -632751, 193681098]$ |
\(y^2+xy+y=x^3-632751x+193681098\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(73411/6, 18340621/6)]$ |
| 252050.m2 |
252050m3 |
252050.m |
252050m |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$8520$ |
$384$ |
$9$ |
$11.40681152$ |
$1$ |
|
$0$ |
$3528000$ |
$2.209961$ |
$-121945/32$ |
$0.94334$ |
$4.06330$ |
$[1, 0, 1, -380701, -109030952]$ |
\(y^2+xy+y=x^3-380701x-109030952\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(46158602/151, 293043638786/151)]$ |
| 252050.m3 |
252050m1 |
252050.m |
252050m |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{4} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$8520$ |
$384$ |
$9$ |
$2.281362305$ |
$1$ |
|
$2$ |
$705600$ |
$1.405241$ |
$-25/2$ |
$1.09044$ |
$3.22969$ |
$[1, 0, 1, -2626, 610798]$ |
\(y^2+xy+y=x^3-2626x+610798\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(1982, 87226)]$ |
| 252050.m4 |
252050m4 |
252050.m |
252050m |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$8520$ |
$384$ |
$9$ |
$34.22043457$ |
$1$ |
|
$0$ |
$10584000$ |
$2.759266$ |
$46969655/32768$ |
$1.06296$ |
$4.51193$ |
$[1, 0, 1, 2769924, 804650298]$ |
\(y^2+xy+y=x^3+2769924x+804650298\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(29953830930268171/4213806, 7522558901870928311942161/4213806)]$ |
| 252050.n1 |
252050n1 |
252050.n |
252050n |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{17} \cdot 5^{8} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$32901120$ |
$3.319023$ |
$7962857630209/232652800$ |
$0.91705$ |
$5.22124$ |
$[1, 0, 1, -52429026, -142386719052]$ |
\(y^2+xy+y=x^3-52429026x-142386719052\) |
568.2.0.? |
$[]$ |
| 252050.o1 |
252050o2 |
252050.o |
252050o |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2 \cdot 5^{8} \cdot 71^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.2 |
5B.4.2 |
$2840$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$435456000$ |
$4.450508$ |
$659648323242974383921/90211467550$ |
$1.00684$ |
$6.68717$ |
$[1, 0, 1, -22855266501, 1329924157409898]$ |
\(y^2+xy+y=x^3-22855266501x+1329924157409898\) |
5.12.0.a.2, 40.24.0-5.a.2.6, 355.24.0.?, 568.2.0.?, 2840.48.1.? |
$[]$ |
| 252050.o2 |
252050o1 |
252050.o |
252050o |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{5} \cdot 5^{16} \cdot 71^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.12.0.1 |
5B.4.1 |
$2840$ |
$48$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$87091200$ |
$3.645790$ |
$149222774347921/22187500000$ |
$0.94019$ |
$5.45687$ |
$[1, 0, 1, -139260251, -545271252602]$ |
\(y^2+xy+y=x^3-139260251x-545271252602\) |
5.12.0.a.1, 40.24.0-5.a.1.6, 355.24.0.?, 568.2.0.?, 2840.48.1.? |
$[]$ |
| 252050.p1 |
252050p1 |
252050.p |
252050p |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{2} \cdot 5^{7} \cdot 71^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$435456$ |
$1.160643$ |
$-5041/20$ |
$0.81705$ |
$2.99854$ |
$[1, 0, 1, -2626, -145352]$ |
\(y^2+xy+y=x^3-2626x-145352\) |
20.2.0.a.1 |
$[]$ |
| 252050.q1 |
252050q1 |
252050.q |
252050q |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{10} \cdot 71^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$21930480$ |
$2.927193$ |
$1775/2$ |
$0.71614$ |
$4.63742$ |
$[1, 0, 1, 4660299, 3768758298]$ |
\(y^2+xy+y=x^3+4660299x+3768758298\) |
8.2.0.a.1 |
$[]$ |
| 252050.r1 |
252050r1 |
252050.r |
252050r |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{9} \cdot 5^{8} \cdot 71^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$2177280$ |
$1.750870$ |
$-165946958207281/12800$ |
$0.97656$ |
$4.09448$ |
$[1, 0, 1, -490751, -132365102]$ |
\(y^2+xy+y=x^3-490751x-132365102\) |
8.2.0.a.1 |
$[]$ |
| 252050.s1 |
252050s1 |
252050.s |
252050s |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{5} \cdot 5^{6} \cdot 71^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.15.0.1 |
5Ns |
$2840$ |
$60$ |
$3$ |
$1$ |
$25$ |
$5$ |
$0$ |
$65433600$ |
$3.448704$ |
$3131359847/32$ |
$0.98740$ |
$5.61899$ |
$[1, 0, 1, -272720726, -1733513340152]$ |
\(y^2+xy+y=x^3-272720726x-1733513340152\) |
5.15.0.a.1, 40.30.1.d.1, 355.30.0.?, 568.2.0.?, 2840.60.3.? |
$[]$ |
| 252050.t1 |
252050t1 |
252050.t |
252050t |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 71^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$269568$ |
$0.917001$ |
$-119646289/1000$ |
$0.85583$ |
$2.95853$ |
$[1, 1, 0, -4400, -115000]$ |
\(y^2+xy=x^3+x^2-4400x-115000\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 1065.8.0.?, 1704.8.0.?, $\ldots$ |
$[]$ |
| 252050.t2 |
252050t2 |
252050.t |
252050t |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{15} \cdot 71^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$8520$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$808704$ |
$1.466307$ |
$3340257551/3906250$ |
$1.04863$ |
$3.22672$ |
$[1, 1, 0, 13350, -594250]$ |
\(y^2+xy=x^3+x^2+13350x-594250\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 1065.8.0.?, 1704.8.0.?, $\ldots$ |
$[]$ |
| 252050.u1 |
252050u1 |
252050.u |
252050u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{3} \cdot 5^{9} \cdot 71^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19139328$ |
$3.048340$ |
$-119646289/1000$ |
$0.85583$ |
$5.01492$ |
$[1, 1, 0, -22183025, 40494300125]$ |
\(y^2+xy=x^3+x^2-22183025x+40494300125\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 24.8.0-3.a.1.8, 40.2.0.a.1, 120.16.0.? |
$[]$ |
| 252050.u2 |
252050u2 |
252050.u |
252050u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{15} \cdot 71^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$57417984$ |
$3.597645$ |
$3340257551/3906250$ |
$1.04863$ |
$5.28310$ |
$[1, 1, 0, 67294725, 214707479375]$ |
\(y^2+xy=x^3+x^2+67294725x+214707479375\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 24.8.0-3.a.1.7, 40.2.0.a.1, 120.16.0.? |
$[]$ |
| 252050.v1 |
252050v1 |
252050.v |
252050v |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{9} \cdot 5^{6} \cdot 71^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$15.35613735$ |
$1$ |
|
$0$ |
$14515200$ |
$2.526459$ |
$176558481/36352$ |
$0.90900$ |
$4.35959$ |
$[1, -1, 0, -1472917, -551877259]$ |
\(y^2+xy=x^3-x^2-1472917x-551877259\) |
568.2.0.? |
$[(-8429/3, 75656/3), (212965/12, 37472377/12)]$ |
| 252050.w1 |
252050w1 |
252050.w |
252050w |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{27} \cdot 5^{6} \cdot 71^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$0.917595106$ |
$1$ |
|
$4$ |
$209018880$ |
$3.700100$ |
$2003092024307193/9529458688$ |
$1.02968$ |
$5.66568$ |
$[1, -1, 1, -330965280, -2307882574653]$ |
\(y^2+xy+y=x^3-x^2-330965280x-2307882574653\) |
568.2.0.? |
$[(22525, 1279233)]$ |
| 252050.x1 |
252050x1 |
252050.x |
252050x |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{5} \cdot 5^{8} \cdot 71^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1.404727593$ |
$1$ |
|
$4$ |
$2073600$ |
$1.427027$ |
$4088324799/800$ |
$0.96194$ |
$3.58404$ |
$[1, -1, 1, -59130, -5518503]$ |
\(y^2+xy+y=x^3-x^2-59130x-5518503\) |
568.2.0.? |
$[(-141, 95)]$ |
| 252050.y1 |
252050y1 |
252050.y |
252050y |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{5} \cdot 5^{8} \cdot 71^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$568$ |
$2$ |
$0$ |
$1.828623157$ |
$1$ |
|
$4$ |
$147225600$ |
$3.558365$ |
$4088324799/800$ |
$0.96194$ |
$5.64043$ |
$[1, -1, 1, -298072755, 1980498141747]$ |
\(y^2+xy+y=x^3-x^2-298072755x+1980498141747\) |
568.2.0.? |
$[(13863, 708890)]$ |
| 252050.z1 |
252050z1 |
252050.z |
252050z |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{13} \cdot 5^{7} \cdot 71^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.147067420$ |
$1$ |
|
$0$ |
$44658432$ |
$3.213806$ |
$8353079/40960$ |
$0.97259$ |
$4.96146$ |
$[1, 0, 0, 9134187, 29048459617]$ |
\(y^2+xy=x^3+9134187x+29048459617\) |
40.2.0.a.1 |
$[(-6302/3, 4042253/3)]$ |
| 252050.ba1 |
252050ba1 |
252050.ba |
252050ba |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{13} \cdot 5^{7} \cdot 71^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1.023492685$ |
$1$ |
|
$4$ |
$628992$ |
$1.082466$ |
$8353079/40960$ |
$0.97259$ |
$2.90507$ |
$[1, 0, 0, 1812, -81008]$ |
\(y^2+xy=x^3+1812x-81008\) |
40.2.0.a.1 |
$[(32, 84)]$ |
| 252050.bb1 |
252050bb1 |
252050.bb |
252050bb |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{4} \cdot 71^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4386096$ |
$2.122475$ |
$1775/2$ |
$0.71614$ |
$3.86100$ |
$[1, 1, 1, 186412, 30224631]$ |
\(y^2+xy+y=x^3+x^2+186412x+30224631\) |
8.2.0.a.1 |
$[]$ |
| 252050.bc1 |
252050bc1 |
252050.bc |
252050bc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{3} \cdot 5^{6} \cdot 71^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$1704$ |
$24$ |
$1$ |
$9.207247199$ |
$1$ |
|
$0$ |
$26500608$ |
$2.996265$ |
$857375/8$ |
$0.89294$ |
$4.95943$ |
$[1, 1, 1, -17709138, -28459490969]$ |
\(y^2+xy+y=x^3+x^2-17709138x-28459490969\) |
3.6.0.b.1, 24.12.0.bx.1, 213.12.0.?, 568.2.0.?, 1704.24.1.? |
$[(-119965/7, 5618831/7)]$ |
| 252050.bd1 |
252050bd2 |
252050.bd |
252050bd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{18} \cdot 5^{7} \cdot 71^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4260$ |
$16$ |
$0$ |
$0.168984156$ |
$1$ |
|
$8$ |
$1057536$ |
$1.500511$ |
$-108264062521/1310720$ |
$0.92715$ |
$3.50641$ |
$[1, 1, 1, -42563, 3397281]$ |
\(y^2+xy+y=x^3+x^2-42563x+3397281\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 852.8.0.?, 1065.8.0.?, $\ldots$ |
$[(195, 1502)]$ |
| 252050.bd2 |
252050bd1 |
252050.bd |
252050bd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{6} \cdot 5^{9} \cdot 71^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$4260$ |
$16$ |
$0$ |
$0.506952469$ |
$1$ |
|
$4$ |
$352512$ |
$0.951204$ |
$8353079/8000$ |
$0.94672$ |
$2.74335$ |
$[1, 1, 1, 1812, 24781]$ |
\(y^2+xy+y=x^3+x^2+1812x+24781\) |
3.4.0.a.1, 20.2.0.a.1, 60.8.0.a.1, 852.8.0.?, 1065.8.0.?, $\ldots$ |
$[(-5, 127)]$ |
| 252050.be1 |
252050be2 |
252050.be |
252050be |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{18} \cdot 5^{7} \cdot 71^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$8.698898178$ |
$1$ |
|
$0$ |
$75085056$ |
$3.631851$ |
$-108264062521/1310720$ |
$0.92715$ |
$5.56279$ |
$[1, 1, 1, -214560188, -1222361109219]$ |
\(y^2+xy+y=x^3+x^2-214560188x-1222361109219\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 15.8.0-3.a.1.1, 20.2.0.a.1, 60.16.0-60.a.1.6 |
$[(177325/3, 39775099/3)]$ |
| 252050.be2 |
252050be1 |
252050.be |
252050be |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{6} \cdot 5^{9} \cdot 71^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$60$ |
$16$ |
$0$ |
$2.899632726$ |
$1$ |
|
$0$ |
$25028352$ |
$3.082542$ |
$8353079/8000$ |
$0.94672$ |
$4.79974$ |
$[1, 1, 1, 9134187, -8595430469]$ |
\(y^2+xy+y=x^3+x^2+9134187x-8595430469\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 15.8.0-3.a.1.2, 20.2.0.a.1, 60.16.0-60.a.1.7 |
$[(144925/3, 55863724/3)]$ |
| 252050.bf1 |
252050bf4 |
252050.bf |
252050bf |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{3} \cdot 5^{10} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$8520$ |
$384$ |
$9$ |
$8.838354761$ |
$1$ |
|
$0$ |
$10584000$ |
$2.759266$ |
$-349938025/8$ |
$1.05078$ |
$4.93221$ |
$[1, 1, 1, -15818763, 24210137281]$ |
\(y^2+xy+y=x^3+x^2-15818763x+24210137281\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.1, 24.8.0.a.1, $\ldots$ |
$[(-89039/15, 589197814/15)]$ |
| 252050.bf2 |
252050bf3 |
252050.bf |
252050bf |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{10} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$8520$ |
$384$ |
$9$ |
$26.51506428$ |
$1$ |
|
$0$ |
$3528000$ |
$2.209961$ |
$-25/2$ |
$1.09044$ |
$4.00611$ |
$[1, 1, 1, -65638, 76349781]$ |
\(y^2+xy+y=x^3+x^2-65638x+76349781\) |
3.4.0.a.1, 5.12.0.a.2, 8.2.0.a.1, 15.96.1.a.2, 24.8.0.a.1, $\ldots$ |
$[(1654814799979/186390, 55295040435394896287/186390)]$ |
| 252050.bf3 |
252050bf1 |
252050.bf |
252050bf |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{5} \cdot 5^{2} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$8520$ |
$384$ |
$9$ |
$5.303012856$ |
$1$ |
|
$0$ |
$705600$ |
$1.405241$ |
$-121945/32$ |
$0.94334$ |
$3.28688$ |
$[1, 1, 1, -15228, -878339]$ |
\(y^2+xy+y=x^3+x^2-15228x-878339\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.4, 24.8.0.a.1, $\ldots$ |
$[(18799/9, 1996973/9)]$ |
| 252050.bf4 |
252050bf2 |
252050.bf |
252050bf |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 71^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$8520$ |
$384$ |
$9$ |
$1.767670952$ |
$1$ |
|
$0$ |
$2116800$ |
$1.954546$ |
$46969655/32768$ |
$1.06296$ |
$3.73551$ |
$[1, 1, 1, 110797, 6481521]$ |
\(y^2+xy+y=x^3+x^2+110797x+6481521\) |
3.4.0.a.1, 5.12.0.a.1, 8.2.0.a.1, 15.96.1.a.3, 24.8.0.a.1, $\ldots$ |
$[(-341/3, 40826/3)]$ |
| 252050.bg1 |
252050bg1 |
252050.bg |
252050bg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{3} \cdot 5^{6} \cdot 71^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.6.0.1 |
3Ns |
$1704$ |
$24$ |
$1$ |
$0.809049262$ |
$1$ |
|
$4$ |
$373248$ |
$0.864923$ |
$857375/8$ |
$0.89294$ |
$2.90305$ |
$[1, 1, 1, -3513, 78031]$ |
\(y^2+xy+y=x^3+x^2-3513x+78031\) |
3.6.0.b.1, 24.12.0.bx.1, 213.12.0.?, 568.2.0.?, 1704.24.1.? |
$[(41, 50)]$ |
| 252050.bh1 |
252050bh1 |
252050.bh |
252050bh |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2 \cdot 5^{4} \cdot 71^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$61776$ |
$-0.008867$ |
$1775/2$ |
$0.71614$ |
$1.80461$ |
$[1, 1, 1, 37, -69]$ |
\(y^2+xy+y=x^3+x^2+37x-69\) |
8.2.0.a.1 |
$[]$ |
| 252050.bi1 |
252050bi2 |
252050.bi |
252050bi |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2 \cdot 5^{7} \cdot 71^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2840$ |
$12$ |
$0$ |
$16.94282138$ |
$1$ |
|
$0$ |
$663552$ |
$1.385361$ |
$16757562879/10$ |
$0.97542$ |
$3.69746$ |
$[1, -1, 1, -94630, -11180753]$ |
\(y^2+xy+y=x^3-x^2-94630x-11180753\) |
2.3.0.a.1, 40.6.0.e.1, 284.6.0.?, 2840.12.0.? |
$[(113466131/58, 1205292200445/58)]$ |
| 252050.bi2 |
252050bi1 |
252050.bi |
252050bi |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{2} \cdot 5^{8} \cdot 71^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2840$ |
$12$ |
$0$ |
$8.471410691$ |
$1$ |
|
$3$ |
$331776$ |
$1.038788$ |
$-4019679/100$ |
$1.02740$ |
$3.03066$ |
$[1, -1, 1, -5880, -175753]$ |
\(y^2+xy+y=x^3-x^2-5880x-175753\) |
2.3.0.a.1, 40.6.0.e.1, 142.6.0.?, 2840.12.0.? |
$[(33729, 6177535)]$ |
| 252050.bj1 |
252050bj2 |
252050.bj |
252050bj |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( 2^{3} \cdot 5^{6} \cdot 71^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$568$ |
$12$ |
$0$ |
$8.151511976$ |
$1$ |
|
$0$ |
$11612160$ |
$2.665092$ |
$7727161833/40328$ |
$0.94393$ |
$4.66342$ |
$[1, -1, 1, -5190655, 4532506847]$ |
\(y^2+xy+y=x^3-x^2-5190655x+4532506847\) |
2.3.0.a.1, 8.6.0.b.1, 284.6.0.?, 568.12.0.? |
$[(25509/4, 1071325/4)]$ |
| 252050.bj2 |
252050bj1 |
252050.bj |
252050bj |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 71^{2} \) |
\( - 2^{6} \cdot 5^{6} \cdot 71^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$568$ |
$12$ |
$0$ |
$4.075755988$ |
$1$ |
|
$3$ |
$5806080$ |
$2.318520$ |
$-185193/4544$ |
$1.00395$ |
$4.11118$ |
$[1, -1, 1, -149655, 146836847]$ |
\(y^2+xy+y=x^3-x^2-149655x+146836847\) |
2.3.0.a.1, 8.6.0.c.1, 142.6.0.?, 568.12.0.? |
$[(19, 11990)]$ |
