| 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 |
| 8450.a1 |
8450k2 |
8450.a |
8450k |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{8} \cdot 13^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$907200$ |
$2.869579$ |
$-6434774386429585/140608$ |
$1.01781$ |
$7.15176$ |
$[1, 0, 1, -47871451, -127490138202]$ |
\(y^2+xy+y=x^3-47871451x-127490138202\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 39.8.0-3.a.1.2, 52.2.0.a.1, 156.16.0.? |
$[]$ |
| 8450.a2 |
8450k1 |
8450.a |
8450k |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{18} \cdot 5^{8} \cdot 13^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$302400$ |
$2.320274$ |
$-9836106385/3407872$ |
$0.94524$ |
$5.72265$ |
$[1, 0, 1, -551451, -199338202]$ |
\(y^2+xy+y=x^3-551451x-199338202\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 39.8.0-3.a.1.1, 52.2.0.a.1, 156.16.0.? |
$[]$ |
| 8450.b1 |
8450i2 |
8450.b |
8450i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{12} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$269568$ |
$2.517036$ |
$10260751717/125000$ |
$1.10093$ |
$6.17045$ |
$[1, 0, 1, -2486501, 1492968648]$ |
\(y^2+xy+y=x^3-2486501x+1492968648\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
| 8450.b2 |
8450i1 |
8450.b |
8450i |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{9} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$1$ |
$1$ |
|
$1$ |
$134784$ |
$2.170464$ |
$16194277/8000$ |
$0.94554$ |
$5.45695$ |
$[1, 0, 1, -289501, -22961352]$ |
\(y^2+xy+y=x^3-289501x-22961352\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[]$ |
| 8450.c1 |
8450c3 |
8450.c |
8450c |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$4680$ |
$144$ |
$3$ |
$7.974205950$ |
$1$ |
|
$0$ |
$108864$ |
$2.141579$ |
$-10730978619193/6656$ |
$1.02193$ |
$6.08836$ |
$[1, 1, 0, -1941475, -1042037875]$ |
\(y^2+xy=x^3+x^2-1941475x-1042037875\) |
3.4.0.a.1, 9.12.0.a.1, 104.2.0.?, 117.36.0.?, 120.8.0.?, $\ldots$ |
$[(68491/2, 17795485/2)]$ |
| 8450.c2 |
8450c2 |
8450.c |
8450c |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$4680$ |
$144$ |
$3$ |
$2.658068650$ |
$1$ |
|
$0$ |
$36288$ |
$1.592274$ |
$-10218313/17576$ |
$0.94717$ |
$4.70756$ |
$[1, 1, 0, -19100, -2033000]$ |
\(y^2+xy=x^3+x^2-19100x-2033000\) |
3.12.0.a.1, 104.2.0.?, 117.36.0.?, 120.24.0.?, 195.24.0.?, $\ldots$ |
$[(891/2, 16685/2)]$ |
| 8450.c3 |
8450c1 |
8450.c |
8450c |
$3$ |
$9$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{6} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$4680$ |
$144$ |
$3$ |
$0.886022883$ |
$1$ |
|
$4$ |
$12096$ |
$1.042967$ |
$12167/26$ |
$0.84415$ |
$3.91989$ |
$[1, 1, 0, 2025, 58375]$ |
\(y^2+xy=x^3+x^2+2025x+58375\) |
3.4.0.a.1, 9.12.0.a.1, 104.2.0.?, 117.36.0.?, 120.8.0.?, $\ldots$ |
$[(-21, 95)]$ |
| 8450.d1 |
8450d4 |
8450.d |
8450d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1560$ |
$384$ |
$9$ |
$15.71822282$ |
$1$ |
|
$0$ |
$64800$ |
$1.910400$ |
$-349938025/8$ |
$1.05078$ |
$5.65780$ |
$[1, 1, 0, -530325, -148872875]$ |
\(y^2+xy=x^3+x^2-530325x-148872875\) |
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, $\ldots$ |
$[(74410591/174, 603372642437/174)]$ |
| 8450.d2 |
8450d3 |
8450.d |
8450d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{10} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1560$ |
$384$ |
$9$ |
$5.239407609$ |
$1$ |
|
$0$ |
$21600$ |
$1.361094$ |
$-25/2$ |
$1.09044$ |
$4.38393$ |
$[1, 1, 0, -2200, -469750]$ |
\(y^2+xy=x^3+x^2-2200x-469750\) |
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, $\ldots$ |
$[(1969/3, 80617/3)]$ |
| 8450.d3 |
8450d1 |
8450.d |
8450d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1560$ |
$384$ |
$9$ |
$1.047881521$ |
$1$ |
|
$4$ |
$4320$ |
$0.556376$ |
$-121945/32$ |
$0.94334$ |
$3.39461$ |
$[1, 1, 0, -510, 5140]$ |
\(y^2+xy=x^3+x^2-510x+5140\) |
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, $\ldots$ |
$[(-21, 95)]$ |
| 8450.d4 |
8450d2 |
8450.d |
8450d |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1560$ |
$384$ |
$9$ |
$3.143644565$ |
$1$ |
|
$0$ |
$12960$ |
$1.105680$ |
$46969655/32768$ |
$1.06296$ |
$4.01171$ |
$[1, 1, 0, 3715, -37955]$ |
\(y^2+xy=x^3+x^2+3715x-37955\) |
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, $\ldots$ |
$[(111/2, 2255/2)]$ |
| 8450.e1 |
8450j1 |
8450.e |
8450j |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$28224$ |
$1.330339$ |
$304175/21632$ |
$0.97871$ |
$4.34155$ |
$[1, 1, 0, 2025, 387925]$ |
\(y^2+xy=x^3+x^2+2025x+387925\) |
8.2.0.a.1 |
$[]$ |
| 8450.f1 |
8450b2 |
8450.f |
8450b |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1820$ |
$768$ |
$21$ |
$6.457243295$ |
$1$ |
|
$2$ |
$152880$ |
$2.284122$ |
$-38575685889/16384$ |
$1.08547$ |
$6.03332$ |
$[1, -1, 0, -1644317, -811457659]$ |
\(y^2+xy=x^3-x^2-1644317x-811457659\) |
4.8.0.b.1, 7.8.0.a.1, 20.16.0-4.b.1.1, 28.128.5.b.1, 35.16.0-7.a.1.2, $\ldots$ |
$[(219658, 102836859)]$ |
| 8450.f2 |
8450b1 |
8450.f |
8450b |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1820$ |
$768$ |
$21$ |
$0.922463327$ |
$1$ |
|
$2$ |
$21840$ |
$1.311165$ |
$351/4$ |
$1.27279$ |
$4.30938$ |
$[1, -1, 0, 3433, 333841]$ |
\(y^2+xy=x^3-x^2+3433x+333841\) |
4.8.0.b.1, 7.8.0.a.1, 20.16.0-4.b.1.1, 28.128.5.b.2, 35.16.0-7.a.1.1, $\ldots$ |
$[(-42, 359)]$ |
| 8450.g1 |
8450a2 |
8450.g |
8450a |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{35} \cdot 5^{7} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$26.05127359$ |
$1$ |
|
$0$ |
$282240$ |
$2.556503$ |
$-1762712152495281/171798691840$ |
$1.13774$ |
$6.10243$ |
$[1, -1, 0, -1923167, -1109134259]$ |
\(y^2+xy=x^3-x^2-1923167x-1109134259\) |
7.8.0.a.1, 35.16.0-7.a.1.2, 40.2.0.a.1, 56.16.0-7.a.1.8, 91.24.0.?, $\ldots$ |
$[(736223979849/19001, 395685206799394138/19001)]$ |
| 8450.g2 |
8450a1 |
8450.g |
8450a |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 5^{13} \cdot 13^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$3.721610512$ |
$1$ |
|
$2$ |
$40320$ |
$1.583549$ |
$-2609064081/2500000$ |
$1.05128$ |
$4.70867$ |
$[1, -1, 0, -21917, 2040741]$ |
\(y^2+xy=x^3-x^2-21917x+2040741\) |
7.8.0.a.1, 35.16.0-7.a.1.1, 40.2.0.a.1, 56.16.0-7.a.1.6, 91.24.0.?, $\ldots$ |
$[(149, 1363)]$ |
| 8450.h1 |
8450h2 |
8450.h |
8450h |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{6} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$12960$ |
$1.105860$ |
$-1680914269/32768$ |
$1.02322$ |
$4.27201$ |
$[1, 0, 1, -8051, 281998]$ |
\(y^2+xy+y=x^3-8051x+281998\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
| 8450.h2 |
8450h1 |
8450.h |
8450h |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$1$ |
$1$ |
|
$0$ |
$2592$ |
$0.301141$ |
$1331/8$ |
$0.93577$ |
$2.96225$ |
$[1, 0, 1, 74, -752]$ |
\(y^2+xy+y=x^3+74x-752\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[]$ |
| 8450.i1 |
8450g3 |
8450.i |
8450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{12} \cdot 5^{7} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.23, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$3.364880510$ |
$1$ |
|
$1$ |
$290304$ |
$2.317642$ |
$988345570681/44994560$ |
$0.95432$ |
$5.82460$ |
$[1, 1, 0, -876775, -303676875]$ |
\(y^2+xy=x^3+x^2-876775x-303676875\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.24.0-6.a.1.3, 8.12.0-4.b.1.1, $\ldots$ |
$[(-19385/6, 827105/6)]$ |
| 8450.i2 |
8450g1 |
8450.i |
8450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{9} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.12.0.23, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$1.121626836$ |
$1$ |
|
$5$ |
$96768$ |
$1.768337$ |
$3803721481/26000$ |
$0.90619$ |
$5.20969$ |
$[1, 1, 0, -137400, 19430000]$ |
\(y^2+xy=x^3+x^2-137400x+19430000\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.24.0-6.a.1.1, 8.12.0-4.b.1.1, $\ldots$ |
$[(2540, 125480)]$ |
| 8450.i3 |
8450g2 |
8450.i |
8450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{12} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.6, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$2.243253673$ |
$1$ |
|
$2$ |
$193536$ |
$2.114910$ |
$-217081801/10562500$ |
$0.97746$ |
$5.38444$ |
$[1, 1, 0, -52900, 43174500]$ |
\(y^2+xy=x^3+x^2-52900x+43174500\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.a.1.2, 6.12.0.a.1, 12.96.0-12.b.1.6, $\ldots$ |
$[(-255, 6465)]$ |
| 8450.i4 |
8450g4 |
8450.i |
8450g |
$4$ |
$6$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{8} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.6, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$6.729761021$ |
$1$ |
|
$0$ |
$580608$ |
$2.664215$ |
$157376536199/7722894400$ |
$1.01877$ |
$6.11116$ |
$[1, 1, 0, 475225, -1154084875]$ |
\(y^2+xy=x^3+x^2+475225x-1154084875\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.a.1.2, 6.12.0.a.1, 12.96.0-12.b.2.2, $\ldots$ |
$[(43045/4, 8875135/4)]$ |
| 8450.j1 |
8450e1 |
8450.j |
8450e |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{10} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$2.283889144$ |
$1$ |
|
$2$ |
$60480$ |
$1.750031$ |
$-2941225/52$ |
$0.97074$ |
$5.13259$ |
$[1, 1, 0, -107825, 13789625]$ |
\(y^2+xy=x^3+x^2-107825x+13789625\) |
3.4.0.a.1, 52.2.0.a.1, 60.8.0-3.a.1.4, 156.8.0.?, 195.8.0.?, $\ldots$ |
$[(226, 901)]$ |
| 8450.j2 |
8450e2 |
8450.j |
8450e |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{10} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$780$ |
$16$ |
$0$ |
$6.851667432$ |
$1$ |
|
$0$ |
$181440$ |
$2.299335$ |
$174196775/140608$ |
$0.95390$ |
$5.58065$ |
$[1, 1, 0, 420300, 66074000]$ |
\(y^2+xy=x^3+x^2+420300x+66074000\) |
3.4.0.a.1, 52.2.0.a.1, 60.8.0-3.a.1.3, 156.8.0.?, 195.8.0.?, $\ldots$ |
$[(-5176/7, 1571564/7)]$ |
| 8450.k1 |
8450f1 |
8450.k |
8450f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$1.134967413$ |
$1$ |
|
$2$ |
$3456$ |
$0.294505$ |
$-658489/40$ |
$0.82676$ |
$3.12810$ |
$[1, 1, 0, -250, 1500]$ |
\(y^2+xy=x^3+x^2-250x+1500\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, $\ldots$ |
$[(15, 30)]$ |
| 8450.k2 |
8450f2 |
8450.k |
8450f |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{9} \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$1560$ |
$16$ |
$0$ |
$3.404902241$ |
$1$ |
|
$0$ |
$10368$ |
$0.843811$ |
$108750551/64000$ |
$1.00157$ |
$3.68186$ |
$[1, 1, 0, 1375, 3125]$ |
\(y^2+xy=x^3+x^2+1375x+3125\) |
3.4.0.a.1, 40.2.0.a.1, 120.8.0.?, 195.8.0.?, 312.8.0.?, $\ldots$ |
$[(-5/2, 305/2)]$ |
| 8450.l1 |
8450l1 |
8450.l |
8450l |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$100800$ |
$1.674118$ |
$-48317985/338$ |
$0.91282$ |
$5.08415$ |
$[1, -1, 0, -93742, 11137166]$ |
\(y^2+xy=x^3-x^2-93742x+11137166\) |
8.2.0.a.1 |
$[]$ |
| 8450.m1 |
8450u1 |
8450.m |
8450u |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$20160$ |
$0.869400$ |
$-48317985/338$ |
$0.91282$ |
$4.01617$ |
$[1, -1, 1, -3750, 89847]$ |
\(y^2+xy+y=x^3-x^2-3750x+89847\) |
8.2.0.a.1 |
$[]$ |
| 8450.n1 |
8450s1 |
8450.n |
8450s |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{11} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.24 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$322560$ |
$2.444145$ |
$65787589563409/10400000$ |
$0.97958$ |
$6.28890$ |
$[1, 0, 0, -3553313, -2578035383]$ |
\(y^2+xy=x^3-3553313x-2578035383\) |
2.3.0.a.1, 4.6.0.b.1, 8.12.0-4.b.1.4, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[]$ |
| 8450.n2 |
8450s2 |
8450.n |
8450s |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{4} \cdot 5^{16} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.38 |
2B |
$520$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$645120$ |
$2.790718$ |
$-48743122863889/26406250000$ |
$0.98824$ |
$6.32881$ |
$[1, 0, 0, -3215313, -3088077383]$ |
\(y^2+xy=x^3-3215313x-3088077383\) |
2.3.0.a.1, 4.6.0.a.1, 8.12.0-4.a.1.2, 260.12.0.?, 520.48.0.? |
$[]$ |
| 8450.o1 |
8450w2 |
8450.o |
8450w |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{3} \cdot 5^{12} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$0.939256152$ |
$1$ |
|
$6$ |
$20736$ |
$1.234564$ |
$10260751717/125000$ |
$1.10093$ |
$4.46842$ |
$[1, 0, 0, -14713, 678417]$ |
\(y^2+xy=x^3-14713x+678417\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.e.1, 39.12.0.a.1, $\ldots$ |
$[(92, 279)]$ |
| 8450.o2 |
8450w1 |
8450.o |
8450w |
$2$ |
$2$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{6} \cdot 5^{9} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.6.0.1 |
2B, 3Ns |
$1560$ |
$144$ |
$5$ |
$0.469628076$ |
$1$ |
|
$9$ |
$10368$ |
$0.887990$ |
$16194277/8000$ |
$0.94554$ |
$3.75491$ |
$[1, 0, 0, -1713, -10583]$ |
\(y^2+xy=x^3-1713x-10583\) |
2.3.0.a.1, 3.6.0.b.1, 6.18.0.b.1, 24.36.0.d.1, 30.36.0.d.1, $\ldots$ |
$[(-28, 139)]$ |
| 8450.p1 |
8450y1 |
8450.p |
8450y |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{4} \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$0.552125914$ |
$1$ |
|
$2$ |
$12096$ |
$0.945311$ |
$-2941225/52$ |
$0.97074$ |
$4.06461$ |
$[1, 0, 0, -4313, 110317]$ |
\(y^2+xy=x^3-4313x+110317\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 39.8.0-3.a.1.1, 52.2.0.a.1, 156.16.0.? |
$[(66, 305)]$ |
| 8450.p2 |
8450y2 |
8450.p |
8450y |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{6} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$156$ |
$16$ |
$0$ |
$0.184041971$ |
$1$ |
|
$6$ |
$36288$ |
$1.494617$ |
$174196775/140608$ |
$0.95390$ |
$4.51266$ |
$[1, 0, 0, 16812, 528592]$ |
\(y^2+xy=x^3+16812x+528592\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 39.8.0-3.a.1.2, 52.2.0.a.1, 156.16.0.? |
$[(482, 10744)]$ |
| 8450.q1 |
8450n2 |
8450.q |
8450n |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{35} \cdot 5^{7} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$3669120$ |
$3.838978$ |
$-1762712152495281/171798691840$ |
$1.13774$ |
$7.80447$ |
$[1, -1, 1, -325015255, -2437743012753]$ |
\(y^2+xy+y=x^3-x^2-325015255x-2437743012753\) |
7.8.0.a.1, 40.2.0.a.1, 91.24.0.?, 280.16.0.?, 455.48.0.?, $\ldots$ |
$[]$ |
| 8450.q2 |
8450n1 |
8450.q |
8450n |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 5^{13} \cdot 13^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.8.0.1 |
7B |
$3640$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$524160$ |
$2.866024$ |
$-2609064081/2500000$ |
$1.05128$ |
$6.41071$ |
$[1, -1, 1, -3704005, 4472395997]$ |
\(y^2+xy+y=x^3-x^2-3704005x+4472395997\) |
7.8.0.a.1, 40.2.0.a.1, 91.24.0.?, 280.16.0.?, 455.48.0.?, $\ldots$ |
$[]$ |
| 8450.r1 |
8450m3 |
8450.r |
8450m |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{2} \cdot 5^{7} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.57 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$0$ |
$129024$ |
$2.282982$ |
$294889639316481/260$ |
$1.02336$ |
$6.45482$ |
$[1, -1, 1, -5858755, -5456818753]$ |
\(y^2+xy+y=x^3-x^2-5858755x-5456818753\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.o.1.6, 16.48.0-16.i.1.6, 130.6.0.?, $\ldots$ |
$[]$ |
| 8450.r2 |
8450m2 |
8450.r |
8450m |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{4} \cdot 5^{8} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.22 |
2Cs |
$520$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$2$ |
$64512$ |
$1.936407$ |
$72043225281/67600$ |
$1.01871$ |
$5.53498$ |
$[1, -1, 1, -366255, -85153753]$ |
\(y^2+xy+y=x^3-x^2-366255x-85153753\) |
2.6.0.a.1, 4.24.0-4.a.1.2, 8.48.0-8.g.1.4, 260.48.0.?, 520.192.3.? |
$[]$ |
| 8450.r3 |
8450m4 |
8450.r |
8450m |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{10} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.5 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$4$ |
$2$ |
$0$ |
$129024$ |
$2.282982$ |
$-32798729601/71402500$ |
$1.04885$ |
$5.62055$ |
$[1, -1, 1, -281755, -125544753]$ |
\(y^2+xy+y=x^3-x^2-281755x-125544753\) |
2.3.0.a.1, 4.24.0.c.1, 8.48.0-4.c.1.2, 260.48.0.?, 520.96.1.?, $\ldots$ |
$[]$ |
| 8450.r4 |
8450m1 |
8450.r |
8450m |
$4$ |
$4$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( 2^{8} \cdot 5^{7} \cdot 13^{7} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.41 |
2B |
$1040$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$32256$ |
$1.589834$ |
$33076161/16640$ |
$0.93564$ |
$4.68492$ |
$[1, -1, 1, -28255, -653753]$ |
\(y^2+xy+y=x^3-x^2-28255x-653753\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.24.0-8.o.1.8, 16.48.0-16.i.1.8, 130.6.0.?, $\ldots$ |
$[]$ |
| 8450.s1 |
8450o2 |
8450.s |
8450o |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{14} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1820$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$11760$ |
$1.001646$ |
$-38575685889/16384$ |
$1.08547$ |
$4.33129$ |
$[1, -1, 1, -9730, -367103]$ |
\(y^2+xy+y=x^3-x^2-9730x-367103\) |
4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.1, 91.24.0.?, 260.16.0.?, $\ldots$ |
$[]$ |
| 8450.s2 |
8450o1 |
8450.s |
8450o |
$2$ |
$7$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{2} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 7$ |
4.8.0.2, 7.8.0.1 |
7B |
$1820$ |
$768$ |
$21$ |
$1$ |
$1$ |
|
$0$ |
$1680$ |
$0.028691$ |
$351/4$ |
$1.27279$ |
$2.60735$ |
$[1, -1, 1, 20, 147]$ |
\(y^2+xy+y=x^3-x^2+20x+147\) |
4.8.0.b.1, 7.8.0.a.1, 28.128.5.b.2, 91.24.0.?, 260.16.0.?, $\ldots$ |
$[]$ |
| 8450.t1 |
8450p1 |
8450.t |
8450p |
$1$ |
$1$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{7} \cdot 5^{10} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$141120$ |
$2.135059$ |
$304175/21632$ |
$0.97871$ |
$5.40953$ |
$[1, 0, 0, 50612, 48389392]$ |
\(y^2+xy=x^3+50612x+48389392\) |
8.2.0.a.1 |
$[]$ |
| 8450.u1 |
8450v2 |
8450.u |
8450v |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$0.941434865$ |
$1$ |
|
$4$ |
$168480$ |
$2.388336$ |
$-1680914269/32768$ |
$1.02322$ |
$5.97405$ |
$[1, 0, 0, -1360538, 620910692]$ |
\(y^2+xy=x^3-1360538x+620910692\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.1, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(1028, 17062)]$ |
| 8450.u2 |
8450v1 |
8450.u |
8450v |
$2$ |
$5$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3, 5$ |
3.6.0.1, 5.6.0.1 |
3Ns, 5B |
$1560$ |
$576$ |
$17$ |
$4.707174326$ |
$1$ |
|
$0$ |
$33696$ |
$1.583616$ |
$1331/8$ |
$0.93577$ |
$4.66428$ |
$[1, 0, 0, 12587, -1664183]$ |
\(y^2+xy=x^3+12587x-1664183\) |
3.6.0.b.1, 5.6.0.a.1, 15.72.1.a.2, 24.12.0.bx.1, 39.12.0.a.1, $\ldots$ |
$[(6096/5, 483479/5)]$ |
| 8450.v1 |
8450x2 |
8450.v |
8450x |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1560$ |
$384$ |
$9$ |
$1.978032737$ |
$1$ |
|
$2$ |
$12960$ |
$1.105680$ |
$-349938025/8$ |
$1.05078$ |
$4.58982$ |
$[1, 0, 0, -21213, -1190983]$ |
\(y^2+xy=x^3-21213x-1190983\) |
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, $\ldots$ |
$[(352, 5739)]$ |
| 8450.v2 |
8450x3 |
8450.v |
8450x |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{5} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1560$ |
$384$ |
$9$ |
$1.186819642$ |
$1$ |
|
$4$ |
$21600$ |
$1.361094$ |
$-121945/32$ |
$0.94334$ |
$4.46260$ |
$[1, 0, 0, -12763, 668017]$ |
\(y^2+xy=x^3-12763x+668017\) |
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, $\ldots$ |
$[(66, 305)]$ |
| 8450.v3 |
8450x1 |
8450.v |
8450x |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2 \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.2 |
3B, 5B.4.2 |
$1560$ |
$384$ |
$9$ |
$5.934098211$ |
$1$ |
|
$0$ |
$4320$ |
$0.556376$ |
$-25/2$ |
$1.09044$ |
$3.31595$ |
$[1, 0, 0, -88, -3758]$ |
\(y^2+xy=x^3-88x-3758\) |
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, $\ldots$ |
$[(3831/10, 203249/10)]$ |
| 8450.v4 |
8450x4 |
8450.v |
8450x |
$4$ |
$15$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{15} \cdot 5^{8} \cdot 13^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3, 5$ |
8.2.0.1, 3.4.0.1, 5.12.0.1 |
3B, 5B.4.1 |
$1560$ |
$384$ |
$9$ |
$0.395606547$ |
$1$ |
|
$6$ |
$64800$ |
$1.910400$ |
$46969655/32768$ |
$1.06296$ |
$5.07970$ |
$[1, 0, 0, 92862, -4930108]$ |
\(y^2+xy=x^3+92862x-4930108\) |
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, $\ldots$ |
$[(352, 8274)]$ |
| 8450.w1 |
8450q1 |
8450.w |
8450q |
$2$ |
$3$ |
\( 2 \cdot 5^{2} \cdot 13^{2} \) |
\( - 2^{3} \cdot 5^{7} \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$44928$ |
$1.576979$ |
$-658489/40$ |
$0.82676$ |
$4.83014$ |
$[1, 1, 1, -42338, 3507031]$ |
\(y^2+xy+y=x^3+x^2-42338x+3507031\) |
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.? |
$[]$ |
