| 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 |
| 19600.a1 |
19600ee1 |
19600.a |
19600ee |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{3} \cdot 7^{7} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$0.251999742$ |
$1$ |
|
$18$ |
$27648$ |
$0.775769$ |
$-221184/7$ |
$0.91737$ |
$3.48153$ |
$[0, 0, 0, -1960, 34300]$ |
\(y^2=x^3-1960x+34300\) |
70.2.0.a.1 |
$[(14, 98), (70, 490)]$ |
| 19600.b1 |
19600bq1 |
19600.b |
19600bq |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 5^{8} \cdot 7^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$0.653294258$ |
$1$ |
|
$4$ |
$86400$ |
$1.364153$ |
$270$ |
$1.01898$ |
$3.99264$ |
$[0, 0, 0, 6125, -428750]$ |
\(y^2=x^3+6125x-428750\) |
8.2.0.a.1 |
$[(175, 2450)]$ |
| 19600.c1 |
19600da1 |
19600.c |
19600da |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{9} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.3.0.1 |
3Nn |
$210$ |
$12$ |
$1$ |
$2.356315847$ |
$1$ |
|
$2$ |
$46080$ |
$1.081106$ |
$-110592/125$ |
$0.98030$ |
$3.69397$ |
$[0, 0, 0, -2800, -98000]$ |
\(y^2=x^3-2800x-98000\) |
3.3.0.a.1, 21.6.0.a.1, 30.6.0.c.1, 70.2.0.a.1, 210.12.1.? |
$[(105, 875)]$ |
| 19600.d1 |
19600ed1 |
19600.d |
19600ed |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{20} \cdot 5^{3} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$193536$ |
$1.858438$ |
$1323/256$ |
$1.25294$ |
$4.61406$ |
$[0, 0, 0, 12005, 9243850]$ |
\(y^2=x^3+12005x+9243850\) |
20.2.0.a.1 |
$[]$ |
| 19600.e1 |
19600dk1 |
19600.e |
19600dk |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{20} \cdot 5^{9} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1.245758030$ |
$1$ |
|
$4$ |
$138240$ |
$1.690203$ |
$1323/256$ |
$1.25294$ |
$4.40979$ |
$[0, 0, 0, 6125, -3368750]$ |
\(y^2=x^3+6125x-3368750\) |
20.2.0.a.1 |
$[(175, 1750)]$ |
| 19600.f1 |
19600bd1 |
19600.f |
19600bd |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$140$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.150357$ |
$48384$ |
$0.89152$ |
$2.74281$ |
$[0, 0, 0, -175, -875]$ |
\(y^2=x^3-175x-875\) |
2.2.0.a.1, 14.6.0.a.1, 140.12.0.? |
$[]$ |
| 19600.g1 |
19600db1 |
19600.g |
19600db |
$2$ |
$7$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{14} \cdot 5^{7} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.2 |
7B.6.3 |
$140$ |
$96$ |
$2$ |
$0.364475400$ |
$1$ |
|
$8$ |
$69120$ |
$1.285042$ |
$-5154200289/20$ |
$1.12200$ |
$4.47516$ |
$[0, 0, 0, -52675, 4653250]$ |
\(y^2=x^3-52675x+4653250\) |
7.24.0.a.2, 14.48.0-7.a.2.1, 20.2.0.a.1, 140.96.2.? |
$[(135, 50)]$ |
| 19600.g2 |
19600db2 |
19600.g |
19600db |
$2$ |
$7$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{26} \cdot 5^{13} \cdot 7^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$7$ |
7.24.0.1 |
7B.6.1 |
$140$ |
$96$ |
$2$ |
$2.551327806$ |
$1$ |
|
$2$ |
$483840$ |
$2.257996$ |
$1747829720511/1280000000$ |
$1.08633$ |
$5.06467$ |
$[0, 0, 0, 367325, -44150750]$ |
\(y^2=x^3+367325x-44150750\) |
7.24.0.a.1, 14.48.0-7.a.1.1, 20.2.0.a.1, 140.96.2.? |
$[(1815, 81250)]$ |
| 19600.h1 |
19600bz1 |
19600.h |
19600bz |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.389088$ |
$-3024/5$ |
$0.61638$ |
$4.06073$ |
$[0, 0, 0, -8575, 600250]$ |
\(y^2=x^3-8575x+600250\) |
20.2.0.a.1 |
$[]$ |
| 19600.i1 |
19600dc1 |
19600.i |
19600dc |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 7^{11} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1.537272066$ |
$1$ |
|
$4$ |
$276480$ |
$1.866608$ |
$14155776/84035$ |
$1.21697$ |
$4.61065$ |
$[0, 0, 0, 39200, 9089500]$ |
\(y^2=x^3+39200x+9089500\) |
70.2.0.a.1 |
$[(-70, 2450)]$ |
| 19600.j1 |
19600ef1 |
19600.j |
19600ef |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{23} \cdot 5^{4} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.2.0.1 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$304128$ |
$1.903206$ |
$-1026590625/100352$ |
$1.12597$ |
$4.78956$ |
$[0, 0, 0, -140875, 22003450]$ |
\(y^2=x^3-140875x+22003450\) |
8.2.0.a.1 |
$[]$ |
| 19600.k1 |
19600bp1 |
19600.k |
19600bp |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{4} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1.231020282$ |
$1$ |
|
$2$ |
$13824$ |
$0.597388$ |
$-6400/7$ |
$0.69269$ |
$3.10738$ |
$[0, 1, 0, -408, 5263]$ |
\(y^2=x^3+x^2-408x+5263\) |
14.2.0.a.1 |
$[(9, 49)]$ |
| 19600.l1 |
19600be1 |
19600.l |
19600be |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{4} \cdot 7^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$0.114835243$ |
$1$ |
|
$28$ |
$9792$ |
$0.518139$ |
$2450$ |
$0.85758$ |
$3.00000$ |
$[0, 1, 0, -408, 1588]$ |
\(y^2=x^3+x^2-408x+1588\) |
8.2.0.b.1 |
$[(-12, 70), (2, 28)]$ |
| 19600.m1 |
19600ba1 |
19600.m |
19600ba |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{10} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
8.2.0.2 |
|
$8$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$342720$ |
$2.295815$ |
$2450$ |
$0.85758$ |
$5.15840$ |
$[0, 1, 0, -500208, -74086412]$ |
\(y^2=x^3+x^2-500208x-74086412\) |
8.2.0.b.1 |
$[]$ |
| 19600.n1 |
19600z2 |
19600.n |
19600z |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{10} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$258048$ |
$2.142570$ |
$2185454/625$ |
$0.89014$ |
$4.99751$ |
$[0, 1, 0, -294408, 43631188]$ |
\(y^2=x^3+x^2-294408x+43631188\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[]$ |
| 19600.n2 |
19600z1 |
19600.n |
19600z |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{8} \cdot 7^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$129024$ |
$1.795996$ |
$19652/25$ |
$0.80426$ |
$4.46897$ |
$[0, 1, 0, 48592, 4529188]$ |
\(y^2=x^3+x^2+48592x+4529188\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[]$ |
| 19600.o1 |
19600bx2 |
19600.o |
19600bx |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 5^{9} \cdot 7^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.180588002$ |
$1$ |
|
$26$ |
$103680$ |
$1.682255$ |
$-5452947409/250$ |
$0.98622$ |
$4.87465$ |
$[0, 1, 0, -196408, 33439188]$ |
\(y^2=x^3+x^2-196408x+33439188\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 40.2.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[(478, 7000), (254, 56)]$ |
| 19600.o2 |
19600bx1 |
19600.o |
19600bx |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 5^{7} \cdot 7^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$0.180588002$ |
$1$ |
|
$26$ |
$34560$ |
$1.132948$ |
$-49/40$ |
$1.02061$ |
$3.73381$ |
$[0, 1, 0, -408, 119188]$ |
\(y^2=x^3+x^2-408x+119188\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 40.2.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[(-12, 350), (38, 400)]$ |
| 19600.p1 |
19600bw2 |
19600.p |
19600bw |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{33} \cdot 5^{7} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1016064$ |
$2.836346$ |
$-8990558521/10485760$ |
$0.98658$ |
$5.82446$ |
$[0, 1, 0, -3107008, 3659399988]$ |
\(y^2=x^3+x^2-3107008x+3659399988\) |
3.4.0.a.1, 24.8.0-3.a.1.5, 40.2.0.a.1, 60.8.0-3.a.1.1, 120.16.0.? |
$[]$ |
| 19600.p2 |
19600bw1 |
19600.p |
19600bw |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{19} \cdot 5^{9} \cdot 7^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$120$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$338688$ |
$2.287041$ |
$10100279/16000$ |
$0.93051$ |
$5.08152$ |
$[0, 1, 0, 322992, -93020012]$ |
\(y^2=x^3+x^2+322992x-93020012\) |
3.4.0.a.1, 24.8.0-3.a.1.6, 40.2.0.a.1, 60.8.0-3.a.1.2, 120.16.0.? |
$[]$ |
| 19600.q1 |
19600ea2 |
19600.q |
19600ea |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$103680$ |
$1.670494$ |
$-262885120/343$ |
$0.89382$ |
$4.72647$ |
$[0, 1, 0, -120458, -16150037]$ |
\(y^2=x^3+x^2-120458x-16150037\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 14.2.0.a.1, 42.8.0.a.1, 84.16.0.? |
$[]$ |
| 19600.q2 |
19600ea1 |
19600.q |
19600ea |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$84$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$34560$ |
$1.121187$ |
$1280/7$ |
$0.66250$ |
$3.70447$ |
$[0, 1, 0, 2042, -102537]$ |
\(y^2=x^3+x^2+2042x-102537\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 14.2.0.a.1, 42.8.0.a.1, 84.16.0.? |
$[]$ |
| 19600.r1 |
19600x1 |
19600.r |
19600x |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{11} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$23040$ |
$0.970515$ |
$-6288640/16807$ |
$0.89388$ |
$3.54611$ |
$[0, 1, 0, -1388, -47657]$ |
\(y^2=x^3+x^2-1388x-47657\) |
14.2.0.a.1 |
$[]$ |
| 19600.s1 |
19600bv2 |
19600.s |
19600bv |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{21} \cdot 5^{2} \cdot 7^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$2520$ |
$144$ |
$2$ |
$0.848136691$ |
$1$ |
|
$12$ |
$108864$ |
$1.701628$ |
$553463785/512$ |
$0.96151$ |
$4.77935$ |
$[0, 1, 0, -143488, 20855988]$ |
\(y^2=x^3+x^2-143488x+20855988\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 24.8.0.b.1, 60.8.0-3.a.1.1, $\ldots$ |
$[(-278, 6272), (212, 98)]$ |
| 19600.s2 |
19600bv1 |
19600.s |
19600bv |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 5^{2} \cdot 7^{8} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$2520$ |
$144$ |
$2$ |
$0.848136691$ |
$1$ |
|
$12$ |
$36288$ |
$1.152321$ |
$46585/8$ |
$0.83046$ |
$3.83000$ |
$[0, 1, 0, -6288, -163052]$ |
\(y^2=x^3+x^2-6288x-163052\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 24.8.0.b.1, 60.8.0-3.a.1.2, $\ldots$ |
$[(114, 784), (-33, 98)]$ |
| 19600.t1 |
19600dy2 |
19600.t |
19600dy |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{21} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$1.533390$ |
$553463785/512$ |
$0.96151$ |
$4.57508$ |
$[0, 1, 0, -73208, -7642412]$ |
\(y^2=x^3+x^2-73208x-7642412\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 24.8.0.b.1, 63.36.0.g.2, $\ldots$ |
$[]$ |
| 19600.t2 |
19600dy1 |
19600.t |
19600dy |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{15} \cdot 5^{8} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.2, 9.12.0.2 |
3B |
$504$ |
$144$ |
$2$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$0.984085$ |
$46585/8$ |
$0.83046$ |
$3.62573$ |
$[0, 1, 0, -3208, 57588]$ |
\(y^2=x^3+x^2-3208x+57588\) |
3.4.0.a.1, 8.2.0.b.1, 9.12.0.b.1, 24.8.0.b.1, 63.36.0.g.1, $\ldots$ |
$[]$ |
| 19600.u1 |
19600w2 |
19600.u |
19600w |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{11} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.543005$ |
$3543122/49$ |
$1.08036$ |
$4.45573$ |
$[0, 1, 0, -49408, -4192812]$ |
\(y^2=x^3+x^2-49408x-4192812\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[]$ |
| 19600.u2 |
19600w1 |
19600.u |
19600w |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{6} \cdot 7^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$30720$ |
$1.196432$ |
$-4/7$ |
$1.03482$ |
$3.81093$ |
$[0, 1, 0, -408, -174812]$ |
\(y^2=x^3+x^2-408x-174812\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[]$ |
| 19600.v1 |
19600dz1 |
19600.v |
19600dz |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.10.0.1 |
5Nn |
$70$ |
$40$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$11520$ |
$0.628563$ |
$-160000$ |
$0.94491$ |
$3.38749$ |
$[0, 1, 0, -1458, -22037]$ |
\(y^2=x^3+x^2-1458x-22037\) |
5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1 |
$[]$ |
| 19600.w1 |
19600cv1 |
19600.w |
19600cv |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$5$ |
5.10.0.1 |
5Nn |
$70$ |
$40$ |
$1$ |
$1.367214341$ |
$1$ |
|
$2$ |
$16128$ |
$0.796799$ |
$-160000$ |
$0.94491$ |
$3.59175$ |
$[0, 1, 0, -2858, 58183]$ |
\(y^2=x^3+x^2-2858x+58183\) |
5.10.0.a.1, 10.20.0.a.1, 14.2.0.a.1, 35.20.0.b.1, 70.40.1.i.1 |
$[(-33, 343)]$ |
| 19600.x1 |
19600e1 |
19600.x |
19600e |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{11} \cdot 5^{11} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$4.656503046$ |
$1$ |
|
$0$ |
$241920$ |
$2.130260$ |
$-15298178/3125$ |
$0.89447$ |
$5.02809$ |
$[0, 1, 0, -294408, -71616812]$ |
\(y^2=x^3+x^2-294408x-71616812\) |
40.2.0.a.1 |
$[(2637/2, 36875/2)]$ |
| 19600.y1 |
19600bn1 |
19600.y |
19600bn |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$14$ |
$2$ |
$0$ |
$2.126419520$ |
$1$ |
|
$2$ |
$7680$ |
$0.478486$ |
$1280$ |
$0.61638$ |
$2.89787$ |
$[0, 1, 0, 292, -1037]$ |
\(y^2=x^3+x^2+292x-1037\) |
14.2.0.a.1 |
$[(9, 49)]$ |
| 19600.z1 |
19600y1 |
19600.z |
19600y |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{4} \cdot 5^{2} \cdot 7^{9} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
|
|
|
$14$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$10752$ |
$0.646723$ |
$1280$ |
$0.61638$ |
$3.10213$ |
$[0, 1, 0, 572, 3303]$ |
\(y^2=x^3+x^2+572x+3303\) |
14.2.0.a.1 |
$[]$ |
| 19600.ba1 |
19600cw2 |
19600.ba |
19600cw |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{17} \cdot 5^{10} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$2.613114337$ |
$1$ |
|
$3$ |
$184320$ |
$1.897242$ |
$544737993463/20000$ |
$1.00483$ |
$5.14360$ |
$[0, 1, 0, -476408, -126720812]$ |
\(y^2=x^3+x^2-476408x-126720812\) |
2.3.0.a.1, 8.6.0.e.1, 28.6.0.c.1, 56.12.0.bd.1 |
$[(1318, 39200)]$ |
| 19600.ba2 |
19600cw1 |
19600.ba |
19600cw |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{22} \cdot 5^{8} \cdot 7^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.3 |
2B |
$56$ |
$12$ |
$0$ |
$5.226228675$ |
$1$ |
|
$3$ |
$92160$ |
$1.550669$ |
$-115501303/25600$ |
$0.94412$ |
$4.32054$ |
$[0, 1, 0, -28408, -2176812]$ |
\(y^2=x^3+x^2-28408x-2176812\) |
2.3.0.a.1, 8.6.0.e.1, 14.6.0.b.1, 56.12.0.bc.1 |
$[(884, 25774)]$ |
| 19600.bb1 |
19600bo2 |
19600.bb |
19600bo |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{8} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.346 |
2B |
$560$ |
$384$ |
$9$ |
$1.330681332$ |
$1$ |
|
$5$ |
$11520$ |
$0.646310$ |
$78608$ |
$0.87912$ |
$3.37147$ |
$[0, 1, 0, -1388, 19228]$ |
\(y^2=x^3+x^2-1388x+19228\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.2, 10.6.0.a.1, 16.96.3.ey.1, $\ldots$ |
$[(18, 20)]$ |
| 19600.bb2 |
19600bo1 |
19600.bb |
19600bo |
$2$ |
$2$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 5^{3} \cdot 7^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
16.96.3.338 |
2B |
$560$ |
$384$ |
$9$ |
$2.661362665$ |
$1$ |
|
$3$ |
$5760$ |
$0.299736$ |
$2048$ |
$1.01898$ |
$2.72187$ |
$[0, 1, 0, -163, -372]$ |
\(y^2=x^3+x^2-163x-372\) |
2.3.0.a.1, 4.6.0.d.1, 8.24.0.bl.1, 10.6.0.a.1, 16.96.3.ey.2, $\ldots$ |
$[(-8, 22)]$ |
| 19600.bc1 |
19600cm1 |
19600.bc |
19600cm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$2.685579012$ |
$1$ |
|
$2$ |
$290304$ |
$2.227062$ |
$-177953104/125$ |
$0.92344$ |
$5.42928$ |
$[0, -1, 0, -1220508, 519712012]$ |
\(y^2=x^3-x^2-1220508x+519712012\) |
3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 42.8.0-3.a.1.2, 60.8.0.a.1, $\ldots$ |
$[(657, 1000)]$ |
| 19600.bc2 |
19600cm2 |
19600.bc |
19600cm |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{15} \cdot 7^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.2 |
3B |
$1260$ |
$144$ |
$2$ |
$8.056737038$ |
$1$ |
|
$0$ |
$870912$ |
$2.776367$ |
$161017136/1953125$ |
$1.00966$ |
$5.72195$ |
$[0, -1, 0, 1180492, 2205214012]$ |
\(y^2=x^3-x^2+1180492x+2205214012\) |
3.4.0.a.1, 9.12.0.b.1, 20.2.0.a.1, 42.8.0-3.a.1.1, 60.8.0.a.1, $\ldots$ |
$[(-98247/17, 206375000/17)]$ |
| 19600.bd1 |
19600cj2 |
19600.bd |
19600cj |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{7} \cdot 7^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$1.390859482$ |
$1$ |
|
$4$ |
$165888$ |
$2.035221$ |
$-225637236736/1715$ |
$1.02937$ |
$5.36456$ |
$[0, -1, 0, -986533, -376825063]$ |
\(y^2=x^3-x^2-986533x-376825063\) |
3.4.0.a.1, 12.8.0-3.a.1.4, 70.2.0.a.1, 210.8.0.?, 420.16.0.? |
$[(1237, 17150)]$ |
| 19600.bd2 |
19600cj1 |
19600.bd |
19600cj |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{9} \cdot 7^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.4.0.1 |
3B |
$420$ |
$16$ |
$0$ |
$0.463619827$ |
$1$ |
|
$4$ |
$55296$ |
$1.485916$ |
$-65536/875$ |
$0.97204$ |
$4.16346$ |
$[0, -1, 0, -6533, -995063]$ |
\(y^2=x^3-x^2-6533x-995063\) |
3.4.0.a.1, 12.8.0-3.a.1.3, 70.2.0.a.1, 210.8.0.?, 420.16.0.? |
$[(537, 12250)]$ |
| 19600.be1 |
19600q1 |
19600.be |
19600q |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{8} \cdot 5^{13} \cdot 7^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$70$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$43008$ |
$1.373959$ |
$12459008/78125$ |
$0.98777$ |
$4.01319$ |
$[0, -1, 0, 5367, -476363]$ |
\(y^2=x^3-x^2+5367x-476363\) |
70.2.0.a.1 |
$[]$ |
| 19600.bf1 |
19600ck2 |
19600.bf |
19600ck |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{13} \cdot 5^{2} \cdot 7^{12} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$2.637217416$ |
$1$ |
|
$2$ |
$82944$ |
$1.668238$ |
$-417267265/235298$ |
$0.94642$ |
$4.42582$ |
$[0, -1, 0, -35688, -3634448]$ |
\(y^2=x^3-x^2-35688x-3634448\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 420.8.0.?, 840.16.0.? |
$[(348, 5096)]$ |
| 19600.bf2 |
19600ck1 |
19600.bf |
19600ck |
$2$ |
$3$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{15} \cdot 5^{2} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.2.0.1, 3.4.0.1 |
3B |
$840$ |
$16$ |
$0$ |
$0.879072472$ |
$1$ |
|
$4$ |
$27648$ |
$1.118931$ |
$397535/392$ |
$1.09655$ |
$3.65315$ |
$[0, -1, 0, 3512, 66032]$ |
\(y^2=x^3-x^2+3512x+66032\) |
3.4.0.a.1, 8.2.0.a.1, 24.8.0.a.1, 420.8.0.?, 840.16.0.? |
$[(68, 784)]$ |
| 19600.bg1 |
19600c1 |
19600.bg |
19600c |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{4} \cdot 5^{6} \cdot 7^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$2$ |
2.2.0.1 |
2Cn |
$140$ |
$12$ |
$0$ |
$1.258434432$ |
$1$ |
|
$2$ |
$6720$ |
$0.427845$ |
$12544$ |
$0.83745$ |
$3.00000$ |
$[0, -1, 0, -408, -2813]$ |
\(y^2=x^3-x^2-408x-2813\) |
2.2.0.a.1, 14.6.0.a.1, 20.4.0-2.a.1.1, 140.12.0.? |
$[(-9, 7)]$ |
| 19600.bh1 |
19600p1 |
19600.bh |
19600p |
$1$ |
$1$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{10} \cdot 5^{7} \cdot 7^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$20$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$96768$ |
$1.818668$ |
$-196/5$ |
$0.83724$ |
$4.56668$ |
$[0, -1, 0, -20008, -7307488]$ |
\(y^2=x^3-x^2-20008x-7307488\) |
20.2.0.a.1 |
$[]$ |
| 19600.bi1 |
19600dh2 |
19600.bi |
19600dh |
$2$ |
$37$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.2 |
37B.8.2 |
$5180$ |
$2736$ |
$97$ |
$13.88712760$ |
$1$ |
|
$0$ |
$795648$ |
$2.936588$ |
$-162677523113838677$ |
$1.07344$ |
$6.91510$ |
$[0, -1, 0, -163137088, -801950801728]$ |
\(y^2=x^3-x^2-163137088x-801950801728\) |
20.2.0.a.1, 37.114.4.b.2, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[(51934762/41, 335148249310/41)]$ |
| 19600.bi2 |
19600dh1 |
19600.bi |
19600dh |
$2$ |
$37$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{3} \cdot 7^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.1 |
37B.8.1 |
$5180$ |
$2736$ |
$97$ |
$0.375327773$ |
$1$ |
|
$6$ |
$21504$ |
$1.131128$ |
$-9317$ |
$0.80290$ |
$3.84721$ |
$[0, -1, 0, -6288, 211072]$ |
\(y^2=x^3-x^2-6288x+211072\) |
20.2.0.a.1, 37.114.4.b.1, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[(82, 490)]$ |
| 19600.bj1 |
19600dv2 |
19600.bj |
19600dv |
$2$ |
$37$ |
\( 2^{4} \cdot 5^{2} \cdot 7^{2} \) |
\( - 2^{12} \cdot 5^{9} \cdot 7^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
✓ |
$37$ |
37.114.4.2 |
37B.8.2 |
$5180$ |
$2736$ |
$97$ |
$1$ |
$1$ |
|
$0$ |
$568320$ |
$2.768353$ |
$-162677523113838677$ |
$1.07344$ |
$6.71083$ |
$[0, -1, 0, -83233208, 292303684912]$ |
\(y^2=x^3-x^2-83233208x+292303684912\) |
20.2.0.a.1, 37.114.4.b.2, 148.228.10.?, 185.228.10.?, 259.342.16.?, $\ldots$ |
$[]$ |
