| 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 |
| 291312.a1 |
291312a1 |
291312.a |
291312a |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{16} \cdot 3^{6} \cdot 7 \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1451520$ |
$1.506493$ |
$654699641761/112$ |
$0.96142$ |
$3.79771$ |
$[0, 0, 0, -172227, -27510590]$ |
\(y^2=x^3-172227x-27510590\) |
28.2.0.a.1 |
$[ ]$ |
| 291312.b1 |
291312b1 |
291312.b |
291312b |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 7^{3} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$28$ |
$2$ |
$0$ |
$1.726889504$ |
$1$ |
|
$2$ |
$6580224$ |
$2.307892$ |
$610929/343$ |
$0.94788$ |
$4.04525$ |
$[0, 0, 0, -486387, -22550670]$ |
\(y^2=x^3-486387x-22550670\) |
28.2.0.a.1 |
$[(-578, 8092)]$ |
| 291312.c1 |
291312c2 |
291312.c |
291312c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{11} \cdot 3^{6} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$2.511531063$ |
$1$ |
|
$3$ |
$1966080$ |
$1.731243$ |
$3543122/49$ |
$1.08036$ |
$3.67951$ |
$[0, 0, 0, -104907, -12921190]$ |
\(y^2=x^3-104907x-12921190\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(442, 5202)]$ |
| 291312.c2 |
291312c1 |
291312.c |
291312c |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{6} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$5.023062127$ |
$1$ |
|
$3$ |
$983040$ |
$1.384670$ |
$-4/7$ |
$1.03482$ |
$3.17302$ |
$[0, 0, 0, -867, -540430]$ |
\(y^2=x^3-867x-540430\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(1237, 43488)]$ |
| 291312.d1 |
291312d1 |
291312.d |
291312d |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{6} \cdot 7^{5} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.5.0.1 |
5S4 |
$70$ |
$10$ |
$0$ |
$3.094715797$ |
$1$ |
|
$2$ |
$5875200$ |
$2.159359$ |
$-117504/16807$ |
$1.18988$ |
$3.91175$ |
$[0, 0, 0, -44217, 56376675]$ |
\(y^2=x^3-44217x+56376675\) |
5.5.0.a.1, 14.2.0.a.1, 70.10.0.a.1 |
$[(-366, 4851)]$ |
| 291312.e1 |
291312e1 |
291312.e |
291312e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{8} \cdot 7^{2} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.27 |
2B |
$2856$ |
$48$ |
$1$ |
$1.591498294$ |
$1$ |
|
$5$ |
$950272$ |
$1.200327$ |
$1335255248/441$ |
$0.89614$ |
$3.31016$ |
$[0, 0, 0, -22287, 1280270]$ |
\(y^2=x^3-22287x+1280270\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.r.1, 34.6.0.a.1, 68.12.0.k.1, $\ldots$ |
$[(17, 952)]$ |
| 291312.e2 |
291312e2 |
291312.e |
291312e |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.11 |
2B |
$2856$ |
$48$ |
$1$ |
$0.795749147$ |
$1$ |
|
$9$ |
$1900544$ |
$1.546900$ |
$-214330532/194481$ |
$0.91609$ |
$3.34990$ |
$[0, 0, 0, -19227, 1644410]$ |
\(y^2=x^3-19227x+1644410\) |
2.3.0.a.1, 4.12.0.f.1, 68.24.0.j.1, 168.24.0.?, 2856.48.1.? |
$[(19, 1134)]$ |
| 291312.f1 |
291312f2 |
291312.f |
291312f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{19} \cdot 3^{6} \cdot 7^{4} \cdot 17^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$37158912$ |
$3.064507$ |
$37936442980801/88817792$ |
$0.95838$ |
$5.02105$ |
$[0, 0, 0, -29132067, 60398309410]$ |
\(y^2=x^3-29132067x+60398309410\) |
2.3.0.a.1, 8.6.0.b.1, 68.6.0.c.1, 136.12.0.? |
$[ ]$ |
| 291312.f2 |
291312f1 |
291312.f |
291312f |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{26} \cdot 3^{6} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$136$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18579456$ |
$2.717934$ |
$23912763841/13647872$ |
$0.98171$ |
$4.43536$ |
$[0, 0, 0, -2497827, 178292770]$ |
\(y^2=x^3-2497827x+178292770\) |
2.3.0.a.1, 8.6.0.c.1, 34.6.0.a.1, 136.12.0.? |
$[ ]$ |
| 291312.g1 |
291312g2 |
291312.g |
291312g |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{11} \cdot 7^{5} \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$7.687075823$ |
$1$ |
|
$0$ |
$52224000$ |
$3.396915$ |
$-14544652121/8168202$ |
$0.96339$ |
$5.12528$ |
$[0, 0, 0, -35977899, -116595817126]$ |
\(y^2=x^3-35977899x-116595817126\) |
5.6.0.a.1, 85.12.0.?, 840.12.0.?, 1020.24.0.?, 2856.2.0.?, $\ldots$ |
$[(2991439/13, 4809659958/13)]$ |
| 291312.g2 |
291312g1 |
291312.g |
291312g |
$2$ |
$5$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{7} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$5$ |
5.6.0.1 |
5B |
$14280$ |
$48$ |
$1$ |
$1.537415164$ |
$1$ |
|
$4$ |
$10444800$ |
$2.592197$ |
$-68921/672$ |
$0.88308$ |
$4.32605$ |
$[0, 0, 0, -604299, 763883066]$ |
\(y^2=x^3-604299x+763883066\) |
5.6.0.a.1, 85.12.0.?, 840.12.0.?, 1020.24.0.?, 2856.2.0.?, $\ldots$ |
$[(2023, 88434)]$ |
| 291312.h1 |
291312h1 |
291312.h |
291312h |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{9} \cdot 7^{4} \cdot 17^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4644864$ |
$2.079540$ |
$-3253829409099/307328$ |
$1.11142$ |
$4.18710$ |
$[0, 0, 0, -881739, -318708486]$ |
\(y^2=x^3-881739x-318708486\) |
24.2.0.b.1 |
$[ ]$ |
| 291312.i1 |
291312i2 |
291312.i |
291312i |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{33} \cdot 3^{11} \cdot 7^{6} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$52254720$ |
$3.522823$ |
$-42484640023394137/59954864062464$ |
$1.06227$ |
$5.22687$ |
$[0, 0, 0, -45757659, -220919014006]$ |
\(y^2=x^3-45757659x-220919014006\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.d.1.3 |
$[ ]$ |
| 291312.i2 |
291312i1 |
291312.i |
291312i |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{21} \cdot 7^{2} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$17418240$ |
$2.973515$ |
$49218965184023/89996344704$ |
$1.04269$ |
$4.65259$ |
$[0, 0, 0, 4805781, 5959141274]$ |
\(y^2=x^3+4805781x+5959141274\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.d.1.4 |
$[ ]$ |
| 291312.j1 |
291312j1 |
291312.j |
291312j |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$29.24506581$ |
$1$ |
|
$0$ |
$59222016$ |
$3.575314$ |
$-130098552670514/257298363$ |
$0.98992$ |
$5.51454$ |
$[0, 0, 0, -230532699, -1349546182486]$ |
\(y^2=x^3-230532699x-1349546182486\) |
24.2.0.b.1 |
$[(124667546729615/83669, 257156846944949403718/83669)]$ |
| 291312.k1 |
291312k1 |
291312.k |
291312k |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{2} \cdot 17^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$12.26597083$ |
$1$ |
|
$0$ |
$28200960$ |
$3.176853$ |
$30004847/42336$ |
$0.94258$ |
$4.83398$ |
$[0, 0, 0, 11776461, 18654081266]$ |
\(y^2=x^3+11776461x+18654081266\) |
24.2.0.b.1 |
$[(213742/19, 1102450356/19)]$ |
| 291312.l1 |
291312l1 |
291312.l |
291312l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 7^{3} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$2177280$ |
$1.834190$ |
$-11060825617/2744$ |
$0.96546$ |
$3.92376$ |
$[0, 0, 0, -292179, 60801554]$ |
\(y^2=x^3-292179x+60801554\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 56.2.0.b.1, 168.16.0.? |
$[ ]$ |
| 291312.l2 |
291312l2 |
291312.l |
291312l |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{6} \cdot 7^{9} \cdot 17^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$168$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6531840$ |
$2.383495$ |
$845095823/80707214$ |
$1.05336$ |
$4.12467$ |
$[0, 0, 0, 123981, 215196914]$ |
\(y^2=x^3+123981x+215196914\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 56.2.0.b.1, 168.16.0.? |
$[ ]$ |
| 291312.m1 |
291312m2 |
291312.m |
291312m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{27} \cdot 3^{9} \cdot 7^{2} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$8.589955551$ |
$1$ |
|
$2$ |
$42301440$ |
$3.356956$ |
$-31403829411/1605632$ |
$0.95418$ |
$5.17605$ |
$[0, 0, 0, -54254259, 160466057586]$ |
\(y^2=x^3-54254259x+160466057586\) |
3.4.0.a.1, 12.8.0-3.a.1.2, 24.16.0-24.d.1.4 |
$[(27847, 4499306)]$ |
| 291312.m2 |
291312m1 |
291312.m |
291312m |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{3} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$24$ |
$16$ |
$0$ |
$2.863318517$ |
$1$ |
|
$2$ |
$14100480$ |
$2.807652$ |
$6266230821/3764768$ |
$1.01861$ |
$4.51733$ |
$[0, 0, 0, 3522621, 497284034]$ |
\(y^2=x^3+3522621x+497284034\) |
3.4.0.a.1, 12.8.0-3.a.1.1, 24.16.0-24.d.1.3 |
$[(27455, 4559842)]$ |
| 291312.n1 |
291312n1 |
291312.n |
291312n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{4} \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$204$ |
$8$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$12533760$ |
$2.745350$ |
$1769472/2401$ |
$1.18457$ |
$4.42007$ |
$[0, 0, 0, 2122416, 1380101004]$ |
\(y^2=x^3+2122416x+1380101004\) |
4.4.0.a.1, 102.2.0.?, 204.8.0.? |
$[ ]$ |
| 291312.o1 |
291312o1 |
291312.o |
291312o |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{29} \cdot 3^{11} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$79902720$ |
$3.583920$ |
$2280364702703/1560674304$ |
$1.00470$ |
$5.24795$ |
$[0, 0, 0, 75448941, 107801055826]$ |
\(y^2=x^3+75448941x+107801055826\) |
24.2.0.b.1 |
$[ ]$ |
| 291312.p1 |
291312p1 |
291312.p |
291312p |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{15} \cdot 7^{2} \cdot 17^{13} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$8.955676298$ |
$1$ |
|
$2$ |
$278691840$ |
$4.288918$ |
$-6434900743458429657088/395758108932291$ |
$1.06283$ |
$6.30673$ |
$[0, 0, 0, -6399701544, 197065577703836]$ |
\(y^2=x^3-6399701544x+197065577703836\) |
102.2.0.? |
$[(23102, 7845334)]$ |
| 291312.q1 |
291312q1 |
291312.q |
291312q |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{11} \cdot 3^{13} \cdot 7^{2} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13160448$ |
$2.718708$ |
$-2343314/107163$ |
$0.94316$ |
$4.44530$ |
$[0, 0, 0, -604299, -1617467686]$ |
\(y^2=x^3-604299x-1617467686\) |
24.2.0.b.1 |
$[ ]$ |
| 291312.r1 |
291312r1 |
291312.r |
291312r |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{3} \cdot 7^{4} \cdot 17^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$24$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$26320896$ |
$2.946838$ |
$-3253829409099/307328$ |
$1.11142$ |
$5.01427$ |
$[0, 0, 0, -28313619, 57993140434]$ |
\(y^2=x^3-28313619x+57993140434\) |
24.2.0.b.1 |
$[ ]$ |
| 291312.s1 |
291312s1 |
291312.s |
291312s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{9} \cdot 7^{2} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$0.446894976$ |
$1$ |
|
$20$ |
$497664$ |
$1.091936$ |
$-11984473/2646$ |
$0.85812$ |
$2.95642$ |
$[0, 0, 0, -4539, 138346]$ |
\(y^2=x^3-4539x+138346\) |
3.4.0.a.1, 24.8.0.d.1, 204.8.0.?, 408.16.0.? |
$[(53, 216), (-1, 378)]$ |
| 291312.s2 |
291312s2 |
291312.s |
291312s |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{7} \cdot 7^{6} \cdot 17^{2} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$0.446894976$ |
$1$ |
|
$20$ |
$1492992$ |
$1.641243$ |
$4271073047/2823576$ |
$0.96443$ |
$3.39775$ |
$[0, 0, 0, 32181, -838406]$ |
\(y^2=x^3+32181x-838406\) |
3.4.0.a.1, 24.8.0.d.1, 204.8.0.?, 408.16.0.? |
$[(341, 7056), (117, 2128)]$ |
| 291312.t1 |
291312t3 |
291312.t |
291312t |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{7} \cdot 7^{3} \cdot 17^{15} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.5 |
3B |
$8568$ |
$144$ |
$3$ |
$19.23810607$ |
$1$ |
|
$6$ |
$537477120$ |
$4.503174$ |
$-6150311179917589675873/244053849830826$ |
$1.03702$ |
$6.52349$ |
$[0, 0, 0, -15884911299, -770619854128574]$ |
\(y^2=x^3-15884911299x-770619854128574\) |
3.4.0.a.1, 9.36.0.d.2, 168.8.0.?, 204.8.0.?, 504.72.0.?, $\ldots$ |
$[(2101727, 3041333694), (160697, 28748664)]$ |
| 291312.t2 |
291312t2 |
291312.t |
291312t |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7^{9} \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.1 |
3Cs |
$8568$ |
$144$ |
$3$ |
$2.137567342$ |
$1$ |
|
$12$ |
$179159040$ |
$3.953865$ |
$-101566487155393/42823570577256$ |
$1.05717$ |
$5.62328$ |
$[0, 0, 0, -40451619, -2674778999006]$ |
\(y^2=x^3-40451619x-2674778999006\) |
3.12.0.a.1, 9.36.0.a.1, 168.24.0.?, 204.24.0.?, 504.72.0.?, $\ldots$ |
$[(28271, 4333266), (15041, 345744)]$ |
| 291312.t3 |
291312t1 |
291312.t |
291312t |
$3$ |
$9$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{21} \cdot 3^{15} \cdot 7^{3} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.36.0.4 |
3B |
$8568$ |
$144$ |
$3$ |
$2.137567342$ |
$1$ |
|
$16$ |
$59719680$ |
$3.404560$ |
$139233463487/58763045376$ |
$1.03208$ |
$5.09920$ |
$[0, 0, 0, 4493661, 98947043746]$ |
\(y^2=x^3+4493661x+98947043746\) |
3.4.0.a.1, 9.36.0.d.1, 168.8.0.?, 204.8.0.?, 504.72.0.?, $\ldots$ |
$[(-2703, 258944), (1649, 332928)]$ |
| 291312.u1 |
291312u1 |
291312.u |
291312u |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{19} \cdot 3^{25} \cdot 7 \cdot 17^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2856$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$277831680$ |
$4.354996$ |
$150900148890919/1041386274432$ |
$1.14332$ |
$5.99636$ |
$[0, 0, 0, 784689621, 27964677115226]$ |
\(y^2=x^3+784689621x+27964677115226\) |
2856.2.0.? |
$[ ]$ |
| 291312.v1 |
291312v1 |
291312.v |
291312v |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{27} \cdot 3^{3} \cdot 7^{2} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$1.928765968$ |
$1$ |
|
$2$ |
$829440$ |
$1.391043$ |
$-31403829411/1605632$ |
$0.95418$ |
$3.30110$ |
$[0, 0, 0, -20859, -1209686]$ |
\(y^2=x^3-20859x-1209686\) |
3.4.0.a.1, 24.8.0.d.1, 204.8.0.?, 408.16.0.? |
$[(1613, 64512)]$ |
| 291312.v2 |
291312v2 |
291312.v |
291312v |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{17} \cdot 3^{9} \cdot 7^{6} \cdot 17^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$408$ |
$16$ |
$0$ |
$0.642921989$ |
$1$ |
|
$4$ |
$2488320$ |
$1.940350$ |
$6266230821/3764768$ |
$1.01861$ |
$3.69016$ |
$[0, 0, 0, 109701, -2732886]$ |
\(y^2=x^3+109701x-2732886\) |
3.4.0.a.1, 24.8.0.d.1, 204.8.0.?, 408.16.0.? |
$[(237, 6048)]$ |
| 291312.w1 |
291312w1 |
291312.w |
291312w |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{9} \cdot 7^{4} \cdot 17^{9} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$0.674692120$ |
$1$ |
|
$14$ |
$15925248$ |
$2.840847$ |
$-11632923639808/318495051$ |
$1.03083$ |
$4.71042$ |
$[0, 0, 0, -7796064, 8574305164]$ |
\(y^2=x^3-7796064x+8574305164\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 102.8.0.?, 204.16.0.? |
$[(510, 68782), (-442, 109242)]$ |
| 291312.w2 |
291312w2 |
291312.w |
291312w |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{7} \cdot 7^{12} \cdot 17^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$204$ |
$16$ |
$0$ |
$0.674692120$ |
$1$ |
|
$16$ |
$47775744$ |
$3.390152$ |
$1021544365555712/705905647251$ |
$1.08891$ |
$5.06243$ |
$[0, 0, 0, 34652256, 34588758076]$ |
\(y^2=x^3+34652256x+34588758076\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 102.8.0.?, 204.16.0.? |
$[(27761/2, 6245001/2), (1538, 302526)]$ |
| 291312.x1 |
291312x1 |
291312.x |
291312x |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{8} \cdot 3^{3} \cdot 7^{4} \cdot 17^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.4.0.1 |
|
$204$ |
$8$ |
$0$ |
$0.408288431$ |
$1$ |
|
$4$ |
$245760$ |
$0.779437$ |
$1769472/2401$ |
$1.18457$ |
$2.54512$ |
$[0, 0, 0, 816, -10404]$ |
\(y^2=x^3+816x-10404\) |
4.4.0.a.1, 102.2.0.?, 204.8.0.? |
$[(34, 238)]$ |
| 291312.y1 |
291312y1 |
291312.y |
291312y |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{13} \cdot 7^{2} \cdot 17^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$102$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10321920$ |
$2.581253$ |
$-8390176768/1821771$ |
$0.90870$ |
$4.37744$ |
$[0, 0, 0, -1761744, 1055469616]$ |
\(y^2=x^3-1761744x+1055469616\) |
102.2.0.? |
$[ ]$ |
| 291312.z1 |
291312z1 |
291312.z |
291312z |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{13} \cdot 3^{3} \cdot 7^{3} \cdot 17^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$1.886907514$ |
$1$ |
|
$2$ |
$3317760$ |
$2.108765$ |
$-19486825371/11662$ |
$0.90778$ |
$4.15723$ |
$[0, 0, 0, -777699, -264113054]$ |
\(y^2=x^3-777699x-264113054\) |
3.4.0.a.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(2873, 145656)]$ |
| 291312.z2 |
291312z2 |
291312.z |
291312z |
$2$ |
$3$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{15} \cdot 3^{9} \cdot 7 \cdot 17^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$2856$ |
$16$ |
$0$ |
$5.660722544$ |
$1$ |
|
$0$ |
$9953280$ |
$2.658073$ |
$17779581/275128$ |
$0.91363$ |
$4.38289$ |
$[0, 0, 0, 678861, -1092248334]$ |
\(y^2=x^3+678861x-1092248334\) |
3.4.0.a.1, 168.8.0.?, 204.8.0.?, 2856.16.0.? |
$[(136425/7, 51312528/7)]$ |
| 291312.ba1 |
291312ba2 |
291312.ba |
291312ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{3} \cdot 17^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$7.797164202$ |
$1$ |
|
$3$ |
$6193152$ |
$2.393074$ |
$2248430329584/28647703$ |
$0.92813$ |
$4.31417$ |
$[0, 0, 0, -1502511, -701035970]$ |
\(y^2=x^3-1502511x-701035970\) |
2.3.0.a.1, 12.6.0.c.1, 28.6.0.d.1, 42.6.0.a.1, 84.12.0.? |
$[(142613, 53854572)]$ |
| 291312.ba2 |
291312ba1 |
291312.ba |
291312ba |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{4} \cdot 3^{3} \cdot 7^{6} \cdot 17^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$84$ |
$12$ |
$0$ |
$15.59432840$ |
$1$ |
|
$1$ |
$3096576$ |
$2.046501$ |
$-40310784/34000561$ |
$1.13780$ |
$3.80420$ |
$[0, 0, 0, -15606, -28657529]$ |
\(y^2=x^3-15606x-28657529\) |
2.3.0.a.1, 6.6.0.a.1, 28.6.0.d.1, 84.12.0.? |
$[(100148751/53, 1002225625282/53)]$ |
| 291312.bb1 |
291312bb2 |
291312.bb |
291312bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{14} \cdot 3^{7} \cdot 7^{6} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$24.62814476$ |
$1$ |
|
$1$ |
$50135040$ |
$3.295258$ |
$20324066489/1411788$ |
$0.95438$ |
$5.09797$ |
$[0, 0, 0, -40222731, -92106123590]$ |
\(y^2=x^3-40222731x-92106123590\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 476.6.0.?, 1428.12.0.? |
$[(207894245591/4991, 48710771521722990/4991)]$ |
| 291312.bb2 |
291312bb1 |
291312.bb |
291312bb |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{16} \cdot 3^{8} \cdot 7^{3} \cdot 17^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1428$ |
$12$ |
$0$ |
$12.31407238$ |
$1$ |
|
$1$ |
$25067520$ |
$2.948681$ |
$3442951/49392$ |
$0.94711$ |
$4.65973$ |
$[0, 0, 0, 2225589, -6233172230]$ |
\(y^2=x^3+2225589x-6233172230\) |
2.3.0.a.1, 84.6.0.?, 204.6.0.?, 238.6.0.?, 1428.12.0.? |
$[(1612007/23, 2066434146/23)]$ |
| 291312.bc1 |
291312bc6 |
291312.bc |
291312bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{7} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.13 |
2B |
$5712$ |
$192$ |
$1$ |
$6.457552255$ |
$1$ |
|
$3$ |
$9437184$ |
$2.733265$ |
$53297461115137/147$ |
$1.05087$ |
$5.04807$ |
$[0, 0, 0, -32627811, -71734821086]$ |
\(y^2=x^3-32627811x-71734821086\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0.h.1, 16.24.0.e.2, $\ldots$ |
$[(61727, 15267870)]$ |
| 291312.bc2 |
291312bc4 |
291312.bc |
291312bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{8} \cdot 7^{4} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.18 |
2Cs |
$2856$ |
$192$ |
$1$ |
$3.228776127$ |
$1$ |
|
$9$ |
$4718592$ |
$2.386692$ |
$13027640977/21609$ |
$1.08149$ |
$4.38709$ |
$[0, 0, 0, -2040051, -1119918350]$ |
\(y^2=x^3-2040051x-1119918350\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.1, 12.24.0.c.1, 24.48.0.j.2, $\ldots$ |
$[(-801, 490)]$ |
| 291312.bc3 |
291312bc3 |
291312.bc |
291312bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.88 |
2B |
$5712$ |
$192$ |
$1$ |
$3.228776127$ |
$1$ |
|
$5$ |
$4718592$ |
$2.386692$ |
$6570725617/45927$ |
$1.00160$ |
$4.33269$ |
$[0, 0, 0, -1623891, 791670994]$ |
\(y^2=x^3-1623891x+791670994\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.bb.1, 28.12.0.h.1, 48.48.0.bf.1, $\ldots$ |
$[(1071, 16762)]$ |
| 291312.bc4 |
291312bc5 |
291312.bc |
291312bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{7} \cdot 7^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.90 |
2B |
$5712$ |
$192$ |
$1$ |
$6.457552255$ |
$1$ |
|
$3$ |
$9437184$ |
$2.733265$ |
$-4354703137/17294403$ |
$1.04266$ |
$4.46389$ |
$[0, 0, 0, -1415811, -1818193214]$ |
\(y^2=x^3-1415811x-1818193214\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 8.24.0.bb.2, 12.12.0.g.1, $\ldots$ |
$[(61623, 15294370)]$ |
| 291312.bc5 |
291312bc2 |
291312.bc |
291312bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 7^{2} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.10 |
2Cs |
$2856$ |
$192$ |
$1$ |
$1.614388063$ |
$1$ |
|
$13$ |
$2359296$ |
$2.040119$ |
$7189057/3969$ |
$1.14862$ |
$3.79083$ |
$[0, 0, 0, -167331, -5649950]$ |
\(y^2=x^3-167331x-5649950\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0.e.2, 24.48.0.w.2, 28.24.0.c.1, $\ldots$ |
$[(833, 20808)]$ |
| 291312.bc6 |
291312bc1 |
291312.bc |
291312bc |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( - 2^{12} \cdot 3^{8} \cdot 7 \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.1 |
2B |
$5712$ |
$192$ |
$1$ |
$3.228776127$ |
$1$ |
|
$5$ |
$1179648$ |
$1.693544$ |
$103823/63$ |
$0.97868$ |
$3.45403$ |
$[0, 0, 0, 40749, -697646]$ |
\(y^2=x^3+40749x-697646\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 16.24.0.e.1, $\ldots$ |
$[(161, 3168)]$ |
| 291312.bd1 |
291312bd1 |
291312.bd |
291312bd |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 7^{2} \cdot 17^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$136$ |
$12$ |
$0$ |
$1.488153290$ |
$1$ |
|
$21$ |
$245760$ |
$0.878954$ |
$275684/49$ |
$0.78154$ |
$2.74594$ |
$[0, 0, 0, -2091, 30634]$ |
\(y^2=x^3-2091x+30634\) |
2.3.0.a.1, 8.6.0.e.1, 34.6.0.a.1, 136.12.0.? |
$[(51, 238), (9, 112)]$ |
