| 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 |
| 41650.a1 |
41650bg1 |
41650.a |
41650bg |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{3} \cdot 7^{2} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.212405451$ |
$1$ |
|
$20$ |
$59904$ |
$0.699254$ |
$-75659639517/1336336$ |
$1.18430$ |
$3.17754$ |
$[1, -1, 0, -1612, 25696]$ |
\(y^2+xy=x^3-x^2-1612x+25696\) |
20.2.0.a.1 |
$[(20, 24), (-31, 228)]$ |
| 41650.b1 |
41650t1 |
41650.b |
41650t |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{5} \cdot 5^{7} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$0.951161867$ |
$1$ |
|
$4$ |
$276480$ |
$1.449936$ |
$206425071/133280$ |
$0.85516$ |
$3.80533$ |
$[1, -1, 0, 15083, 238741]$ |
\(y^2+xy=x^3-x^2+15083x+238741\) |
680.2.0.? |
$[(9, 608)]$ |
| 41650.c1 |
41650o2 |
41650.c |
41650o |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 5^{6} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$860160$ |
$2.183121$ |
$37936442980801/88817792$ |
$0.95838$ |
$4.94488$ |
$[1, 0, 1, -857526, -305098552]$ |
\(y^2+xy+y=x^3-857526x-305098552\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 41650.c2 |
41650o1 |
41650.c |
41650o |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{6} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$430080$ |
$1.836546$ |
$23912763841/13647872$ |
$0.98171$ |
$4.25209$ |
$[1, 0, 1, -73526, -906552]$ |
\(y^2+xy+y=x^3-73526x-906552\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 41650.d1 |
41650bf1 |
41650.d |
41650bf |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$2056320$ |
$2.549522$ |
$-953790341/147968$ |
$0.89271$ |
$5.15721$ |
$[1, 0, 1, -1681951, -945594702]$ |
\(y^2+xy+y=x^3-1681951x-945594702\) |
40.2.0.a.1 |
$[]$ |
| 41650.e1 |
41650f1 |
41650.e |
41650f |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{5} \cdot 5^{9} \cdot 7^{8} \cdot 17^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.503298564$ |
$1$ |
|
$18$ |
$1451520$ |
$2.443577$ |
$-709731835729/334084000$ |
$0.91213$ |
$4.99267$ |
$[1, 0, 1, -833026, 394008948]$ |
\(y^2+xy+y=x^3-833026x+394008948\) |
40.2.0.a.1 |
$[(592, 10116), (-1797/2, 210043/2)]$ |
| 41650.f1 |
41650n4 |
41650.f |
41650n |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2 \cdot 5^{6} \cdot 7^{6} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$14280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$497664$ |
$1.957161$ |
$159661140625/48275138$ |
$1.06848$ |
$4.43059$ |
$[1, 0, 1, -138451, 13690548]$ |
\(y^2+xy+y=x^3-138451x+13690548\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
| 41650.f2 |
41650n3 |
41650.f |
41650n |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{6} \cdot 17^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$14280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$248832$ |
$1.610588$ |
$120920208625/19652$ |
$0.98564$ |
$4.40446$ |
$[1, 0, 1, -126201, 17243048]$ |
\(y^2+xy+y=x^3-126201x+17243048\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
| 41650.f3 |
41650n2 |
41650.f |
41650n |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{3} \cdot 5^{6} \cdot 7^{6} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.6, 3.4.0.1 |
2B, 3B |
$14280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$1.407856$ |
$8805624625/2312$ |
$0.96590$ |
$4.15818$ |
$[1, 0, 1, -52701, -4659952]$ |
\(y^2+xy+y=x^3-52701x-4659952\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.b.1, 24.24.0.y.1, $\ldots$ |
$[]$ |
| 41650.f4 |
41650n1 |
41650.f |
41650n |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{6} \cdot 5^{6} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.1, 3.4.0.1 |
2B, 3B |
$14280$ |
$96$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$82944$ |
$1.061281$ |
$3048625/1088$ |
$0.90010$ |
$3.40905$ |
$[1, 0, 1, -3701, -53952]$ |
\(y^2+xy+y=x^3-3701x-53952\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.c.1, 24.24.0.bw.1, $\ldots$ |
$[]$ |
| 41650.g1 |
41650y1 |
41650.g |
41650y |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{9} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$2.714846172$ |
$1$ |
|
$0$ |
$215040$ |
$1.528383$ |
$-5177717/2176$ |
$0.86118$ |
$3.96409$ |
$[1, 1, 0, -22075, -1667875]$ |
\(y^2+xy=x^3+x^2-22075x-1667875\) |
680.2.0.? |
$[(815/2, 11435/2)]$ |
| 41650.h1 |
41650k1 |
41650.h |
41650k |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{11} \cdot 5^{9} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$608256$ |
$2.250088$ |
$-79290863149681/213248000$ |
$0.91840$ |
$5.01463$ |
$[1, 1, 0, -1096400, -443360000]$ |
\(y^2+xy=x^3+x^2-1096400x-443360000\) |
680.2.0.? |
$[]$ |
| 41650.i1 |
41650j1 |
41650.i |
41650j |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{9} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$677376$ |
$2.216908$ |
$341425679/578000$ |
$0.87863$ |
$4.64597$ |
$[1, 1, 0, 238850, 62442500]$ |
\(y^2+xy=x^3+x^2+238850x+62442500\) |
20.2.0.a.1 |
$[]$ |
| 41650.j1 |
41650i1 |
41650.j |
41650i |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 5^{12} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$829440$ |
$2.341652$ |
$-1980652037510828689/278528000000$ |
$0.98804$ |
$5.23440$ |
$[1, 1, 0, -2393500, 1424450000]$ |
\(y^2+xy=x^3+x^2-2393500x+1424450000\) |
68.2.0.a.1 |
$[]$ |
| 41650.k1 |
41650e2 |
41650.k |
41650e |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{12} \cdot 7^{8} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1161216$ |
$2.531166$ |
$-290707016929/1228250000$ |
$0.93218$ |
$5.05176$ |
$[1, 1, 0, -618650, -539865500]$ |
\(y^2+xy=x^3+x^2-618650x-539865500\) |
3.4.0.a.1, 15.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1020.16.0.? |
$[]$ |
| 41650.k2 |
41650e1 |
41650.k |
41650e |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1020$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$387072$ |
$1.981859$ |
$375078431/1740800$ |
$1.00008$ |
$4.41055$ |
$[1, 1, 0, 67350, 17852500]$ |
\(y^2+xy=x^3+x^2+67350x+17852500\) |
3.4.0.a.1, 15.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1020.16.0.? |
$[]$ |
| 41650.l1 |
41650bd1 |
41650.l |
41650bd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$483840$ |
$2.225636$ |
$-4768951705/272$ |
$0.89436$ |
$5.13489$ |
$[1, 1, 0, -1681950, -840333500]$ |
\(y^2+xy=x^3+x^2-1681950x-840333500\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 68.2.0.a.1, 204.8.0.?, 1428.16.0.? |
$[]$ |
| 41650.l2 |
41650bd2 |
41650.l |
41650bd |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{10} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1428$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$2.774944$ |
$-5975305/20123648$ |
$1.02485$ |
$5.32167$ |
$[1, 1, 0, -181325, -2267427875]$ |
\(y^2+xy=x^3+x^2-181325x-2267427875\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 68.2.0.a.1, 204.8.0.?, 1428.16.0.? |
$[]$ |
| 41650.m1 |
41650x1 |
41650.m |
41650x |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{6} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$4.840935304$ |
$1$ |
|
$2$ |
$1572480$ |
$2.619003$ |
$11053587253415/6565418768$ |
$1.03983$ |
$5.13156$ |
$[1, 1, 0, 1662300, 134644000]$ |
\(y^2+xy=x^3+x^2+1662300x+134644000\) |
68.2.0.a.1 |
$[(1260, 64420)]$ |
| 41650.n1 |
41650b1 |
41650.n |
41650b |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$13.94769031$ |
$1$ |
|
$0$ |
$305760$ |
$1.768408$ |
$1296351/139264$ |
$1.08366$ |
$4.18512$ |
$[1, -1, 0, 10183, -5376659]$ |
\(y^2+xy=x^3-x^2+10183x-5376659\) |
136.2.0.? |
$[(851775/49, 748713029/49)]$ |
| 41650.o1 |
41650s1 |
41650.o |
41650s |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{13} \cdot 5^{6} \cdot 7^{2} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$136$ |
$2$ |
$0$ |
$4.178248144$ |
$1$ |
|
$2$ |
$43680$ |
$0.795452$ |
$1296351/139264$ |
$1.08366$ |
$3.08750$ |
$[1, -1, 0, 208, 15616]$ |
\(y^2+xy=x^3-x^2+208x+15616\) |
136.2.0.? |
$[(45, 316)]$ |
| 41650.p1 |
41650r4 |
41650.p |
41650r |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 5^{14} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$20.22132063$ |
$1$ |
|
$0$ |
$12386304$ |
$3.682869$ |
$291306206119284545407569/101150000000$ |
$1.03940$ |
$7.08474$ |
$[1, -1, 0, -1691783417, -26782949402259]$ |
\(y^2+xy=x^3-x^2-1691783417x-26782949402259\) |
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, $\ldots$ |
$[(255599923029/1541, 117707466940626468/1541)]$ |
| 41650.p2 |
41650r3 |
41650.p |
41650r |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{7} \cdot 5^{8} \cdot 7^{10} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$280$ |
$48$ |
$0$ |
$5.055330157$ |
$1$ |
|
$2$ |
$12386304$ |
$3.682869$ |
$118495863754334673489/53596139570691200$ |
$1.03328$ |
$6.35077$ |
$[1, -1, 0, -125351417, -252425466259]$ |
\(y^2+xy=x^3-x^2-125351417x-252425466259\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 40.24.0-8.k.1.3, 56.24.0.v.1, $\ldots$ |
$[(-9595, 263444)]$ |
| 41650.p3 |
41650r2 |
41650.p |
41650r |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{14} \cdot 5^{10} \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$280$ |
$48$ |
$0$ |
$10.11066031$ |
$1$ |
|
$2$ |
$6193152$ |
$3.336296$ |
$71149857462630609489/41907496960000$ |
$1.06891$ |
$6.30282$ |
$[1, -1, 0, -105751417, -418339466259]$ |
\(y^2+xy=x^3-x^2-105751417x-418339466259\) |
2.6.0.a.1, 8.12.0.a.1, 20.12.0-2.a.1.1, 28.12.0.b.1, 40.24.0-8.a.1.3, $\ldots$ |
$[(-4381613/27, 271596347/27)]$ |
| 41650.p4 |
41650r1 |
41650.p |
41650r |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{28} \cdot 5^{8} \cdot 7^{7} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$280$ |
$48$ |
$0$ |
$20.22132063$ |
$1$ |
|
$1$ |
$3096576$ |
$2.989723$ |
$-9470133471933009/13576123187200$ |
$1.05689$ |
$5.58098$ |
$[1, -1, 0, -5399417, -9003658259]$ |
\(y^2+xy=x^3-x^2-5399417x-9003658259\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 14.6.0.b.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(12375940315/1809, 918332411009644/1809)]$ |
| 41650.q1 |
41650q1 |
41650.q |
41650q |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 5^{11} \cdot 7^{10} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$6.257488202$ |
$1$ |
|
$2$ |
$725760$ |
$2.316326$ |
$3112538751/1806250$ |
$1.17384$ |
$4.79216$ |
$[1, -1, 0, 498958, 7031366]$ |
\(y^2+xy=x^3-x^2+498958x+7031366\) |
40.2.0.a.1 |
$[(1753, 78284)]$ |
| 41650.r1 |
41650a1 |
41650.r |
41650a |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 5^{11} \cdot 7^{4} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$0.435085145$ |
$1$ |
|
$4$ |
$103680$ |
$1.343372$ |
$3112538751/1806250$ |
$1.17384$ |
$3.69453$ |
$[1, -1, 0, 10183, -23409]$ |
\(y^2+xy=x^3-x^2+10183x-23409\) |
40.2.0.a.1 |
$[(149, 2113)]$ |
| 41650.s1 |
41650p4 |
41650.s |
41650p |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2 \cdot 5^{6} \cdot 7^{8} \cdot 17^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.15 |
2B |
$4760$ |
$48$ |
$0$ |
$1.122396681$ |
$1$ |
|
$4$ |
$393216$ |
$2.056805$ |
$16342588257633/8185058$ |
$1.11945$ |
$4.86571$ |
$[1, -1, 0, -647642, 200684266]$ |
\(y^2+xy=x^3-x^2-647642x+200684266\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.k.1, 136.24.0.?, 140.12.0.?, $\ldots$ |
$[(205, 8644)]$ |
| 41650.s2 |
41650p2 |
41650.s |
41650p |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{10} \cdot 17^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.3 |
2Cs |
$4760$ |
$48$ |
$0$ |
$2.244793363$ |
$1$ |
|
$8$ |
$196608$ |
$1.710230$ |
$6403769793/2775556$ |
$1.13395$ |
$4.12823$ |
$[1, -1, 0, -47392, 2001516]$ |
\(y^2+xy=x^3-x^2-47392x+2001516\) |
2.6.0.a.1, 8.12.0.a.1, 68.12.0.b.1, 136.24.0.?, 140.12.0.?, $\ldots$ |
$[(214, 1168)]$ |
| 41650.s3 |
41650p1 |
41650.s |
41650p |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{8} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$4760$ |
$48$ |
$0$ |
$4.489586726$ |
$1$ |
|
$3$ |
$98304$ |
$1.363655$ |
$721734273/13328$ |
$0.89265$ |
$3.92301$ |
$[1, -1, 0, -22892, -1305984]$ |
\(y^2+xy=x^3-x^2-22892x-1305984\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 34.6.0.a.1, 68.12.0.g.1, $\ldots$ |
$[(804, 21948)]$ |
| 41650.s4 |
41650p3 |
41650.s |
41650p |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 5^{6} \cdot 7^{14} \cdot 17 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.9 |
2B |
$4760$ |
$48$ |
$0$ |
$4.489586726$ |
$1$ |
|
$2$ |
$393216$ |
$2.056805$ |
$250404380127/196003234$ |
$0.98833$ |
$4.47289$ |
$[1, -1, 0, 160858, 14704766]$ |
\(y^2+xy=x^3-x^2+160858x+14704766\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.p.1, 136.24.0.?, 280.24.0.?, $\ldots$ |
$[(-31, 3128)]$ |
| 41650.t1 |
41650d1 |
41650.t |
41650d |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$0.449642059$ |
$1$ |
|
$14$ |
$96768$ |
$1.243952$ |
$341425679/578000$ |
$0.87863$ |
$3.54835$ |
$[1, 0, 1, 4874, -181352]$ |
\(y^2+xy+y=x^3+4874x-181352\) |
20.2.0.a.1 |
$[(137, 1681), (358/3, 6887/3)]$ |
| 41650.u1 |
41650bb1 |
41650.u |
41650bb |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{21} \cdot 5^{3} \cdot 7^{10} \cdot 17^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4515840$ |
$3.097633$ |
$-183751277422644413/7149351929380864$ |
$1.03194$ |
$5.68569$ |
$[1, 0, 1, -2901806, 15715923808]$ |
\(y^2+xy+y=x^3-2901806x+15715923808\) |
680.2.0.? |
$[]$ |
| 41650.v1 |
41650bc1 |
41650.v |
41650bc |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2 \cdot 5^{3} \cdot 7^{10} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$680$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.013779$ |
$-83453453/81634$ |
$0.83352$ |
$3.35932$ |
$[1, 0, 1, -2231, -66692]$ |
\(y^2+xy+y=x^3-2231x-66692\) |
680.2.0.? |
$[]$ |
| 41650.w1 |
41650g2 |
41650.w |
41650g |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{7} \cdot 5^{15} \cdot 7^{6} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$2.867447$ |
$-32391289681150609/1228250000000$ |
$1.00352$ |
$5.58540$ |
$[1, 0, 1, -8135251, 9218372398]$ |
\(y^2+xy+y=x^3-8135251x+9218372398\) |
3.4.0.a.1, 105.8.0.?, 680.2.0.?, 2040.8.0.?, 2856.8.0.?, $\ldots$ |
$[]$ |
| 41650.w2 |
41650g1 |
41650.w |
41650g |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{21} \cdot 5^{9} \cdot 7^{6} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$14280$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$725760$ |
$2.318142$ |
$7023836099951/4456448000$ |
$0.99857$ |
$4.78633$ |
$[1, 0, 1, 488749, 40868398]$ |
\(y^2+xy+y=x^3+488749x+40868398\) |
3.4.0.a.1, 105.8.0.?, 680.2.0.?, 2040.8.0.?, 2856.8.0.?, $\ldots$ |
$[]$ |
| 41650.x1 |
41650c1 |
41650.x |
41650c |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{20} \cdot 5^{12} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$1$ |
$9$ |
$3$ |
$0$ |
$5806080$ |
$3.314606$ |
$-1980652037510828689/278528000000$ |
$0.98804$ |
$6.33203$ |
$[1, 0, 1, -117281526, -488938194552]$ |
\(y^2+xy+y=x^3-117281526x-488938194552\) |
68.2.0.a.1 |
$[]$ |
| 41650.y1 |
41650u1 |
41650.y |
41650u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{4} \cdot 17 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$69120$ |
$1.252682$ |
$-4768951705/272$ |
$0.89436$ |
$4.03727$ |
$[1, 0, 1, -34326, 2445048]$ |
\(y^2+xy+y=x^3-34326x+2445048\) |
3.8.0-3.a.1.2, 68.2.0.a.1, 204.16.0.? |
$[]$ |
| 41650.y2 |
41650u2 |
41650.y |
41650u |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{4} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$204$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.801989$ |
$-5975305/20123648$ |
$1.02485$ |
$4.22405$ |
$[1, 0, 1, -3701, 6610048]$ |
\(y^2+xy+y=x^3-3701x+6610048\) |
3.8.0-3.a.1.1, 68.2.0.a.1, 204.16.0.? |
$[]$ |
| 41650.z1 |
41650h2 |
41650.z |
41650h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{12} \cdot 7^{2} \cdot 17^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$1.558210$ |
$-290707016929/1228250000$ |
$0.93218$ |
$3.95414$ |
$[1, 0, 1, -12626, 1572148]$ |
\(y^2+xy+y=x^3-12626x+1572148\) |
3.4.0.a.1, 68.2.0.a.1, 105.8.0.?, 204.8.0.?, 7140.16.0.? |
$[]$ |
| 41650.z2 |
41650h1 |
41650.z |
41650h |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{2} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$7140$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.008904$ |
$375078431/1740800$ |
$1.00008$ |
$3.31293$ |
$[1, 0, 1, 1374, -51852]$ |
\(y^2+xy+y=x^3+1374x-51852\) |
3.4.0.a.1, 68.2.0.a.1, 105.8.0.?, 204.8.0.?, 7140.16.0.? |
$[]$ |
| 41650.ba1 |
41650m1 |
41650.ba |
41650m |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{5} \cdot 5^{9} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.470623$ |
$-709731835729/334084000$ |
$0.91213$ |
$3.89504$ |
$[1, 1, 0, -17000, -1156000]$ |
\(y^2+xy=x^3+x^2-17000x-1156000\) |
40.2.0.a.1 |
$[]$ |
| 41650.bb1 |
41650v1 |
41650.bb |
41650v |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 5^{9} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$293760$ |
$1.576569$ |
$-953790341/147968$ |
$0.89271$ |
$4.05959$ |
$[1, 1, 0, -34325, 2742125]$ |
\(y^2+xy=x^3+x^2-34325x+2742125\) |
40.2.0.a.1 |
$[]$ |
| 41650.bc1 |
41650l2 |
41650.bc |
41650l |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2 \cdot 5^{6} \cdot 7^{10} \cdot 17^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$221184$ |
$1.646070$ |
$2433138625/1387778$ |
$0.96221$ |
$4.03726$ |
$[1, 1, 0, -34325, -308125]$ |
\(y^2+xy=x^3+x^2-34325x-308125\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[]$ |
| 41650.bc2 |
41650l1 |
41650.bc |
41650l |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( 2^{2} \cdot 5^{6} \cdot 7^{8} \cdot 17 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.299498$ |
$647214625/3332$ |
$0.86431$ |
$3.91276$ |
$[1, 1, 0, -22075, 1247625]$ |
\(y^2+xy=x^3+x^2-22075x+1247625\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[]$ |
| 41650.bd1 |
41650z1 |
41650.bd |
41650z |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{9} \cdot 5^{4} \cdot 7^{7} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$17.01717336$ |
$1$ |
|
$0$ |
$497664$ |
$1.921265$ |
$-137810063865625/17608192$ |
$0.99780$ |
$4.76357$ |
$[1, 1, 0, -450825, -116710075]$ |
\(y^2+xy=x^3+x^2-450825x-116710075\) |
3.4.0.a.1, 21.8.0-3.a.1.1, 408.8.0.?, 952.2.0.?, 2856.16.0.? |
$[(210354541/423, 2324722803742/423)]$ |
| 41650.bd2 |
41650z2 |
41650.bd |
41650z |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{27} \cdot 5^{4} \cdot 7^{9} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$5.672391121$ |
$1$ |
|
$0$ |
$1492992$ |
$2.470570$ |
$511460384375/782623571968$ |
$1.09202$ |
$4.97821$ |
$[1, 1, 0, 69800, -364881600]$ |
\(y^2+xy=x^3+x^2+69800x-364881600\) |
3.4.0.a.1, 21.8.0-3.a.1.2, 408.8.0.?, 952.2.0.?, 2856.16.0.? |
$[(21355/3, 3066115/3)]$ |
| 41650.be1 |
41650be1 |
41650.be |
41650be |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{5} \cdot 5^{8} \cdot 7^{7} \cdot 17 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$952$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$230400$ |
$1.442205$ |
$-9765625/3808$ |
$1.00755$ |
$3.86953$ |
$[1, 1, 0, -15950, 996500]$ |
\(y^2+xy=x^3+x^2-15950x+996500\) |
952.2.0.? |
$[]$ |
| 41650.bf1 |
41650ba1 |
41650.bf |
41650ba |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{6} \cdot 17 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$68$ |
$2$ |
$0$ |
$5.731811501$ |
$1$ |
|
$0$ |
$72576$ |
$0.659760$ |
$84375/272$ |
$1.04213$ |
$2.91207$ |
$[1, -1, 0, 383, -6259]$ |
\(y^2+xy=x^3-x^2+383x-6259\) |
68.2.0.a.1 |
$[(502/3, 10901/3)]$ |
| 41650.bg1 |
41650w1 |
41650.bg |
41650w |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 7^{2} \cdot 17 \) |
\( - 2^{4} \cdot 5^{3} \cdot 7^{8} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$419328$ |
$1.672209$ |
$-75659639517/1336336$ |
$1.18430$ |
$4.27516$ |
$[1, -1, 0, -78997, -8655739]$ |
\(y^2+xy=x^3-x^2-78997x-8655739\) |
20.2.0.a.1 |
$[]$ |
