| 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 |
| 13005.a1 |
13005b2 |
13005.a |
13005b |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{3} \cdot 5^{2} \cdot 17^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1.929522510$ |
$1$ |
|
$2$ |
$36864$ |
$1.392321$ |
$82142689923/425$ |
$0.98211$ |
$4.79536$ |
$[1, -1, 1, -78518, -8448694]$ |
\(y^2+xy+y=x^3-x^2-78518x-8448694\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(370, 3427)]$ |
| 13005.a2 |
13005b1 |
13005.a |
13005b |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{3} \cdot 5 \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$3.859045021$ |
$1$ |
|
$3$ |
$18432$ |
$1.045748$ |
$-19034163/1445$ |
$0.82765$ |
$3.92482$ |
$[1, -1, 1, -4823, -135898]$ |
\(y^2+xy+y=x^3-x^2-4823x-135898\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[(1356, 49174)]$ |
| 13005.b1 |
13005a1 |
13005.b |
13005a |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$3.927761416$ |
$1$ |
|
$2$ |
$274176$ |
$2.396275$ |
$462866157/390625$ |
$1.01772$ |
$5.44499$ |
$[1, -1, 1, 610747, 124217912]$ |
\(y^2+xy+y=x^3-x^2+610747x+124217912\) |
6.2.0.a.1 |
$[(1698, 76963)]$ |
| 13005.c1 |
13005i1 |
13005.c |
13005i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$27648$ |
$1.308226$ |
$68417929/425$ |
$0.84846$ |
$4.39478$ |
$[1, -1, 1, -22163, 1268642]$ |
\(y^2+xy+y=x^3-x^2-22163x+1268642\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.2, 34.6.0.a.1, 68.12.0.e.1, $\ldots$ |
$[]$ |
| 13005.c2 |
13005i2 |
13005.c |
13005i |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$2040$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.654799$ |
$-4826809/180625$ |
$1.05314$ |
$4.55661$ |
$[1, -1, 1, -9158, 2735606]$ |
\(y^2+xy+y=x^3-x^2-9158x+2735606\) |
2.3.0.a.1, 4.6.0.a.1, 24.12.0-4.a.1.2, 68.12.0.d.1, 408.24.0.?, $\ldots$ |
$[]$ |
| 13005.d1 |
13005j1 |
13005.d |
13005j |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2160$ |
$-0.156790$ |
$5831/5$ |
$0.74598$ |
$2.20932$ |
$[1, -1, 1, 22, -34]$ |
\(y^2+xy+y=x^3-x^2+22x-34\) |
20.2.0.a.1 |
$[]$ |
| 13005.e1 |
13005q1 |
13005.e |
13005q |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{6} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$36720$ |
$1.259817$ |
$5831/5$ |
$0.74598$ |
$4.00380$ |
$[1, -1, 1, 6448, -139944]$ |
\(y^2+xy+y=x^3-x^2+6448x-139944\) |
20.2.0.a.1 |
$[]$ |
| 13005.f1 |
13005f1 |
13005.f |
13005f |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{3} \cdot 5^{8} \cdot 17^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.103064563$ |
$1$ |
|
$8$ |
$16128$ |
$0.979669$ |
$462866157/390625$ |
$1.01772$ |
$3.65051$ |
$[1, -1, 1, 2113, 24786]$ |
\(y^2+xy+y=x^3-x^2+2113x+24786\) |
6.2.0.a.1 |
$[(-4, 129)]$ |
| 13005.g1 |
13005g2 |
13005.g |
13005g |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5^{9} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2820096$ |
$3.650146$ |
$17968412610002944/158203125$ |
$1.13557$ |
$7.63755$ |
$[0, 0, 1, -620393988, 5947660640119]$ |
\(y^2+y=x^3-620393988x+5947660640119\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.2, 510.16.0.? |
$[]$ |
| 13005.g2 |
13005g1 |
13005.g |
13005g |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{18} \cdot 5^{3} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$940032$ |
$3.100842$ |
$115220905984/66430125$ |
$1.23689$ |
$6.37531$ |
$[0, 0, 1, -11525898, -919712372]$ |
\(y^2+y=x^3-11525898x-919712372\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.1, 510.16.0.? |
$[]$ |
| 13005.h1 |
13005h1 |
13005.h |
13005h |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.335199$ |
$35651584/405$ |
$1.03043$ |
$3.12964$ |
$[0, 0, 1, -408, -3141]$ |
\(y^2+y=x^3-408x-3141\) |
10.2.0.a.1 |
$[]$ |
| 13005.i1 |
13005l2 |
13005.i |
13005l |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{6} \cdot 5 \cdot 17^{8} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$30$ |
$16$ |
$0$ |
$12.23838057$ |
$1$ |
|
$2$ |
$132192$ |
$2.102753$ |
$244534214656/5$ |
$1.09168$ |
$5.85659$ |
$[0, 0, 1, -2240328, 1290670893]$ |
\(y^2+y=x^3-2240328x+1290670893\) |
3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4 |
$[(8051573/97, 390671950/97)]$ |
| 13005.i2 |
13005l1 |
13005.i |
13005l |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$30$ |
$16$ |
$0$ |
$4.079460190$ |
$1$ |
|
$2$ |
$44064$ |
$1.553448$ |
$557056/125$ |
$0.86191$ |
$4.48511$ |
$[0, 0, 1, -29478, 1524258]$ |
\(y^2+y=x^3-29478x+1524258\) |
3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1 |
$[(2, 1210)]$ |
| 13005.j1 |
13005m2 |
13005.j |
13005m |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{6} \cdot 5 \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$0.874794252$ |
$1$ |
|
$2$ |
$7776$ |
$0.686147$ |
$244534214656/5$ |
$1.09168$ |
$4.06211$ |
$[0, 0, 1, -7752, 262705]$ |
\(y^2+y=x^3-7752x+262705\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.2, 510.16.0.? |
$[(49, 22)]$ |
| 13005.j2 |
13005m1 |
13005.j |
13005m |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{6} \cdot 5^{3} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$510$ |
$16$ |
$0$ |
$0.291598084$ |
$1$ |
|
$6$ |
$2592$ |
$0.136841$ |
$557056/125$ |
$0.86191$ |
$2.69062$ |
$[0, 0, 1, -102, 310]$ |
\(y^2+y=x^3-102x+310\) |
3.4.0.a.1, 10.2.0.a.1, 30.8.0.a.1, 51.8.0-3.a.1.1, 510.16.0.? |
$[(-2, 22)]$ |
| 13005.k1 |
13005p1 |
13005.k |
13005p |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$78336$ |
$1.751806$ |
$35651584/405$ |
$1.03043$ |
$4.92413$ |
$[0, 0, 1, -117912, -15430505]$ |
\(y^2+y=x^3-117912x-15430505\) |
10.2.0.a.1 |
$[]$ |
| 13005.l1 |
13005o2 |
13005.l |
13005o |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5^{9} \cdot 17^{4} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.1 |
3B.1.1 |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$165888$ |
$2.233540$ |
$17968412610002944/158203125$ |
$1.13557$ |
$5.84307$ |
$[0, 0, 1, -2146692, 1210596507]$ |
\(y^2+y=x^3-2146692x+1210596507\) |
3.8.0-3.a.1.2, 10.2.0.a.1, 30.16.0-30.a.1.4 |
$[]$ |
| 13005.l2 |
13005o1 |
13005.l |
13005o |
$2$ |
$3$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{18} \cdot 5^{3} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.8.0.2 |
3B.1.2 |
$30$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$55296$ |
$1.684235$ |
$115220905984/66430125$ |
$1.23689$ |
$4.58083$ |
$[0, 0, 1, -39882, -187200]$ |
\(y^2+y=x^3-39882x-187200\) |
3.8.0-3.a.1.1, 10.2.0.a.1, 30.16.0-30.a.1.1 |
$[]$ |
| 13005.m1 |
13005c1 |
13005.m |
13005c |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.528975$ |
$462866157/390625$ |
$1.01772$ |
$4.34634$ |
$[1, -1, 0, 19020, -688249]$ |
\(y^2+xy=x^3-x^2+19020x-688249\) |
6.2.0.a.1 |
$[]$ |
| 13005.n1 |
13005e2 |
13005.n |
13005e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{9} \cdot 5^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$110592$ |
$1.941628$ |
$82142689923/425$ |
$0.98211$ |
$5.49119$ |
$[1, -1, 0, -706659, 228821390]$ |
\(y^2+xy=x^3-x^2-706659x+228821390\) |
2.3.0.a.1, 60.6.0.c.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 13005.n2 |
13005e1 |
13005.n |
13005e |
$2$ |
$2$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{9} \cdot 5 \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1020$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.595053$ |
$-19034163/1445$ |
$0.82765$ |
$4.62065$ |
$[1, -1, 0, -43404, 3712643]$ |
\(y^2+xy=x^3-x^2-43404x+3712643\) |
2.3.0.a.1, 30.6.0.a.1, 204.6.0.?, 340.6.0.?, 1020.12.0.? |
$[]$ |
| 13005.o1 |
13005d1 |
13005.o |
13005d |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{9} \cdot 5^{8} \cdot 17^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$822528$ |
$2.945583$ |
$462866157/390625$ |
$1.01772$ |
$6.14083$ |
$[1, -1, 0, 5496726, -3359380357]$ |
\(y^2+xy=x^3-x^2+5496726x-3359380357\) |
6.2.0.a.1 |
$[]$ |
| 13005.p1 |
13005n7 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.121 |
2B |
$8160$ |
$768$ |
$13$ |
$12.34026411$ |
$1$ |
|
$0$ |
$163840$ |
$2.256783$ |
$1114544804970241/405$ |
$1.07354$ |
$6.14775$ |
$[1, -1, 0, -5618214, 5127014475]$ |
\(y^2+xy=x^3-x^2-5618214x+5127014475\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.2, 10.6.0.a.1, 16.48.0.x.2, $\ldots$ |
$[(10299109/76, 11837169177/76)]$ |
| 13005.p2 |
13005n5 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{14} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.123 |
2Cs |
$4080$ |
$768$ |
$13$ |
$6.170132057$ |
$1$ |
|
$2$ |
$81920$ |
$1.910210$ |
$272223782641/164025$ |
$1.03897$ |
$5.26975$ |
$[1, -1, 0, -351189, 80151120]$ |
\(y^2+xy=x^3-x^2-351189x+80151120\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0.k.1, 20.24.0.c.1, 40.96.1.cc.2, $\ldots$ |
$[(19741/4, 2458923/4)]$ |
| 13005.p3 |
13005n8 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{22} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.134 |
2B |
$8160$ |
$768$ |
$13$ |
$12.34026411$ |
$1$ |
|
$0$ |
$163840$ |
$2.256783$ |
$-147281603041/215233605$ |
$1.05949$ |
$5.33791$ |
$[1, -1, 0, -286164, 110699865]$ |
\(y^2+xy=x^3-x^2-286164x+110699865\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 16.48.0.u.2, 20.12.0.h.1, $\ldots$ |
$[(3297061/52, 5491831047/52)]$ |
| 13005.p4 |
13005n3 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{7} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$8160$ |
$768$ |
$13$ |
$12.34026411$ |
$1$ |
|
$0$ |
$40960$ |
$1.563635$ |
$56667352321/15$ |
$1.03019$ |
$5.10408$ |
$[1, -1, 0, -208134, -36495927]$ |
\(y^2+xy=x^3-x^2-208134x-36495927\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.by.2, $\ldots$ |
$[(2598859/70, 406100283/70)]$ |
| 13005.p5 |
13005n4 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{10} \cdot 5^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.44 |
2Cs |
$4080$ |
$768$ |
$13$ |
$3.085066028$ |
$1$ |
|
$4$ |
$40960$ |
$1.563635$ |
$111284641/50625$ |
$1.02534$ |
$4.44613$ |
$[1, -1, 0, -26064, 755595]$ |
\(y^2+xy=x^3-x^2-26064x+755595\) |
2.6.0.a.1, 4.24.0.b.1, 8.48.0.b.2, 24.96.1.n.1, 40.96.1.s.1, $\ldots$ |
$[(1186, 39867)]$ |
| 13005.p6 |
13005n2 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{8} \cdot 5^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.3 |
2Cs |
$4080$ |
$768$ |
$13$ |
$6.170132057$ |
$1$ |
|
$2$ |
$20480$ |
$1.217062$ |
$13997521/225$ |
$0.96230$ |
$4.22727$ |
$[1, -1, 0, -13059, -563112]$ |
\(y^2+xy=x^3-x^2-13059x-563112\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.i.1, 16.48.0.d.2, 24.48.0.bb.2, $\ldots$ |
$[(-4167/8, 62343/8)]$ |
| 13005.p7 |
13005n1 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{7} \cdot 5 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
32.48.0.1 |
2B |
$8160$ |
$768$ |
$13$ |
$3.085066028$ |
$1$ |
|
$1$ |
$10240$ |
$0.870488$ |
$-1/15$ |
$1.19808$ |
$3.56312$ |
$[1, -1, 0, -54, -24705]$ |
\(y^2+xy=x^3-x^2-54x-24705\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0.g.1, 24.24.0.bz.1, $\ldots$ |
$[(1395/2, 50625/2)]$ |
| 13005.p8 |
13005n6 |
13005.p |
13005n |
$8$ |
$16$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( - 3^{8} \cdot 5^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.197 |
2B |
$8160$ |
$768$ |
$13$ |
$1.542533014$ |
$1$ |
|
$4$ |
$81920$ |
$1.910210$ |
$4733169839/3515625$ |
$1.05585$ |
$4.84201$ |
$[1, -1, 0, 90981, 5601258]$ |
\(y^2+xy=x^3-x^2+90981x+5601258\) |
2.3.0.a.1, 4.12.0.d.1, 8.48.0.n.2, 24.96.1.cv.2, 80.96.1.?, $\ldots$ |
$[(-38, 1464)]$ |
| 13005.q1 |
13005k1 |
13005.q |
13005k |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{12} \cdot 5^{7} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$48384$ |
$1.199589$ |
$100471803904/56953125$ |
$1.08007$ |
$3.96821$ |
$[0, 0, 1, -5763, 24093]$ |
\(y^2+y=x^3-5763x+24093\) |
10.2.0.a.1 |
$[]$ |
| 13005.r1 |
13005r1 |
13005.r |
13005r |
$1$ |
$1$ |
\( 3^{2} \cdot 5 \cdot 17^{2} \) |
\( 3^{12} \cdot 5^{7} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$822528$ |
$2.616196$ |
$100471803904/56953125$ |
$1.08007$ |
$5.76269$ |
$[0, 0, 1, -1665507, 118370137]$ |
\(y^2+y=x^3-1665507x+118370137\) |
10.2.0.a.1 |
$[]$ |
