| 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 |
| 207200.a1 |
207200c1 |
207200.a |
207200c |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$2.629046800$ |
$1$ |
|
$0$ |
$12856320$ |
$2.822403$ |
$-996856898790659465728/354571$ |
$1.01633$ |
$5.41812$ |
$[0, 1, 0, -83245933, 292315220763]$ |
\(y^2=x^3+x^2-83245933x+292315220763\) |
518.2.0.? |
$[(258101/7, 148/7)]$ |
| 207200.b1 |
207200d1 |
207200.b |
207200d |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{7} \cdot 7^{5} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$345600$ |
$1.259222$ |
$4724717752/3109295$ |
$0.81972$ |
$3.11818$ |
$[0, 1, 0, 6992, -81012]$ |
\(y^2=x^3+x^2+6992x-81012\) |
10360.2.0.? |
$[]$ |
| 207200.c1 |
207200v1 |
207200.c |
207200v |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{2} \cdot 7^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$1.655571327$ |
$1$ |
|
$2$ |
$787968$ |
$1.516199$ |
$-14075832640/5959274797$ |
$0.95455$ |
$3.39020$ |
$[0, 1, 0, -2353, 1188543]$ |
\(y^2=x^3+x^2-2353x+1188543\) |
148.2.0.? |
$[(97, 1372)]$ |
| 207200.d1 |
207200e2 |
207200.d |
207200e |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1.892160822$ |
$1$ |
|
$7$ |
$245760$ |
$0.966950$ |
$13044257864/1813$ |
$0.97275$ |
$3.20114$ |
$[0, 1, 0, -9808, -377112]$ |
\(y^2=x^3+x^2-9808x-377112\) |
2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.? |
$[(-58, 2)]$ |
| 207200.d2 |
207200e1 |
207200.d |
207200e |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$3.784321644$ |
$1$ |
|
$5$ |
$122880$ |
$0.620378$ |
$-19248832/9583$ |
$0.78852$ |
$2.54947$ |
$[0, 1, 0, -558, -7112]$ |
\(y^2=x^3+x^2-558x-7112\) |
2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.? |
$[(29, 44)]$ |
| 207200.e1 |
207200r1 |
207200.e |
207200r |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$1.045358645$ |
$1$ |
|
$2$ |
$3939840$ |
$2.320919$ |
$-14075832640/5959274797$ |
$0.95455$ |
$4.17905$ |
$[0, 1, 0, -58833, -148685537]$ |
\(y^2=x^3+x^2-58833x-148685537\) |
148.2.0.? |
$[(4658, 317275)]$ |
| 207200.f1 |
207200p1 |
207200.f |
207200p |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{9} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$698880$ |
$1.380257$ |
$380132782784/1813$ |
$0.85850$ |
$3.70117$ |
$[0, 1, 0, -75458, 7953088]$ |
\(y^2=x^3+x^2-75458x+7953088\) |
2.3.0.a.1, 40.6.0.d.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[]$ |
| 207200.f2 |
207200p2 |
207200.f |
207200p |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{9} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1397760$ |
$1.726830$ |
$-45194100328/3286969$ |
$0.83838$ |
$3.70674$ |
$[0, 1, 0, -74208, 8230588]$ |
\(y^2=x^3+x^2-74208x+8230588\) |
2.3.0.a.1, 40.6.0.a.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[]$ |
| 207200.g1 |
207200a1 |
207200.g |
207200a |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$143360$ |
$0.727929$ |
$-6229504/259$ |
$0.71058$ |
$2.75201$ |
$[0, 1, 0, -1533, -24437]$ |
\(y^2=x^3+x^2-1533x-24437\) |
518.2.0.? |
$[]$ |
| 207200.h1 |
207200s2 |
207200.h |
207200s |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{10} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$368640$ |
$1.212982$ |
$8217949832/1133125$ |
$0.79461$ |
$3.16340$ |
$[0, 1, 0, -8408, -261812]$ |
\(y^2=x^3+x^2-8408x-261812\) |
2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.? |
$[]$ |
| 207200.h2 |
207200s1 |
207200.h |
207200s |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{6} \cdot 5^{8} \cdot 7 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$184320$ |
$0.866409$ |
$65939264/239575$ |
$0.78643$ |
$2.73525$ |
$[0, 1, 0, 842, -21312]$ |
\(y^2=x^3+x^2+842x-21312\) |
2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.? |
$[]$ |
| 207200.i1 |
207200t1 |
207200.i |
207200t |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{9} \cdot 7^{3} \cdot 37^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$0.333506145$ |
$1$ |
|
$6$ |
$4354560$ |
$2.429401$ |
$-8610335038005128/2973122156375$ |
$0.92230$ |
$4.33402$ |
$[0, 1, 0, -854008, 383554488]$ |
\(y^2=x^3+x^2-854008x+383554488\) |
10360.2.0.? |
$[(278, 12950)]$ |
| 207200.j1 |
207200b2 |
207200.j |
207200b |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{6} \cdot 37^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$1.821523827$ |
$1$ |
|
$15$ |
$1990656$ |
$1.887499$ |
$656914788557000/161061481$ |
$0.94101$ |
$4.08559$ |
$[0, 1, 0, -362208, 83766088]$ |
\(y^2=x^3+x^2-362208x+83766088\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(-98, 10878), (-357, 12950)]$ |
| 207200.j2 |
207200b1 |
207200.j |
207200b |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 37^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$1.821523827$ |
$1$ |
|
$17$ |
$995328$ |
$1.540926$ |
$-879217912000/642837223$ |
$0.98867$ |
$3.44197$ |
$[0, 1, 0, -19958, 1626088]$ |
\(y^2=x^3+x^2-19958x+1626088\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(124, 1036), (-98, 1628)]$ |
| 207200.k1 |
207200q1 |
207200.k |
207200q |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{3} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$3.823269760$ |
$1$ |
|
$3$ |
$139776$ |
$0.575537$ |
$380132782784/1813$ |
$0.85850$ |
$2.91232$ |
$[0, 1, 0, -3018, -64832]$ |
\(y^2=x^3+x^2-3018x-64832\) |
2.3.0.a.1, 40.6.0.d.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[(89, 616)]$ |
| 207200.k2 |
207200q2 |
207200.k |
207200q |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{3} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1.911634880$ |
$1$ |
|
$5$ |
$279552$ |
$0.922111$ |
$-45194100328/3286969$ |
$0.83838$ |
$2.91790$ |
$[0, 1, 0, -2968, -67032]$ |
\(y^2=x^3+x^2-2968x-67032\) |
2.3.0.a.1, 40.6.0.a.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[(98, 770)]$ |
| 207200.l1 |
207200u1 |
207200.l |
207200u |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{3} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$2.122365061$ |
$1$ |
|
$2$ |
$248832$ |
$0.972969$ |
$15252992/12691$ |
$0.76958$ |
$2.81950$ |
$[0, 1, 0, 2067, -23237]$ |
\(y^2=x^3+x^2+2067x-23237\) |
518.2.0.? |
$[(57, 532)]$ |
| 207200.m1 |
207200x4 |
207200.m |
207200x |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{14} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$20720$ |
$192$ |
$3$ |
$16.97370822$ |
$1$ |
|
$1$ |
$1277952$ |
$1.981873$ |
$1613221829349768/708203125$ |
$0.92598$ |
$4.15898$ |
$[0, 0, 0, -488675, -131435750]$ |
\(y^2=x^3-488675x-131435750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 40.24.0-8.o.1.3, $\ldots$ |
$[(-75154886/435, 987010138/435)]$ |
| 207200.m2 |
207200x2 |
207200.m |
207200x |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{8} \cdot 7^{8} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$20720$ |
$192$ |
$3$ |
$4.243427056$ |
$1$ |
|
$3$ |
$1277952$ |
$1.981873$ |
$262168576768008/5332440925$ |
$0.94704$ |
$4.01055$ |
$[0, 0, 0, -266675, 52065750]$ |
\(y^2=x^3-266675x+52065750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 40.24.0-8.o.1.1, $\ldots$ |
$[(-295, 10250)]$ |
| 207200.m3 |
207200x1 |
207200.m |
207200x |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{10} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$20720$ |
$192$ |
$3$ |
$8.486854113$ |
$1$ |
|
$3$ |
$638976$ |
$1.635300$ |
$4916468816064/2054355625$ |
$0.97506$ |
$3.51585$ |
$[0, 0, 0, -35425, -1353000]$ |
\(y^2=x^3-35425x-1353000\) |
2.6.0.a.1, 4.12.0.a.1, 20.24.0-4.a.1.1, 56.24.0-4.a.1.2, 280.48.0.?, $\ldots$ |
$[(-2444/5, 135546/5)]$ |
| 207200.m4 |
207200x3 |
207200.m |
207200x |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{2} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$20720$ |
$192$ |
$3$ |
$4.243427056$ |
$1$ |
|
$3$ |
$1277952$ |
$1.981873$ |
$2817559698624/2295847225$ |
$0.93098$ |
$3.81011$ |
$[0, 0, 0, 117700, -9928000]$ |
\(y^2=x^3+117700x-9928000\) |
2.3.0.a.1, 4.12.0.d.1, 20.24.0-4.d.1.1, 56.24.0-4.d.1.4, 280.48.0.?, $\ldots$ |
$[(1885, 83125)]$ |
| 207200.n1 |
207200g4 |
207200.n |
207200g |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{12} \cdot 5^{7} \cdot 7 \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10360$ |
$48$ |
$0$ |
$17.72747065$ |
$1$ |
|
$1$ |
$638976$ |
$1.503590$ |
$8900630063424/1295$ |
$0.95319$ |
$3.90408$ |
$[0, 0, 0, -172700, -27624000]$ |
\(y^2=x^3-172700x-27624000\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.4, 280.24.0.?, $\ldots$ |
$[(496338640/123, 11056867728400/123)]$ |
| 207200.n2 |
207200g2 |
207200.n |
207200g |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{10} \cdot 7^{4} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10360$ |
$48$ |
$0$ |
$4.431867664$ |
$1$ |
|
$3$ |
$638976$ |
$1.503590$ |
$111840831432/55523125$ |
$0.87029$ |
$3.37667$ |
$[0, 0, 0, -20075, 412750]$ |
\(y^2=x^3-20075x+412750\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.2, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[(-39, 1066)]$ |
| 207200.n3 |
207200g1 |
207200.n |
207200g |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{8} \cdot 7^{2} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10360$ |
$48$ |
$0$ |
$8.863735329$ |
$1$ |
|
$3$ |
$319488$ |
$1.157017$ |
$140283769536/1677025$ |
$0.91099$ |
$3.22531$ |
$[0, 0, 0, -10825, -429000]$ |
\(y^2=x^3-10825x-429000\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 280.24.0.?, 296.12.0.?, $\ldots$ |
$[(-9304/13, 21156/13)]$ |
| 207200.n4 |
207200g3 |
207200.n |
207200g |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{7} \cdot 7 \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10360$ |
$48$ |
$0$ |
$17.72747065$ |
$1$ |
|
$1$ |
$638976$ |
$1.503590$ |
$-123505992/65595635$ |
$0.92240$ |
$3.37785$ |
$[0, 0, 0, -2075, -1102750]$ |
\(y^2=x^3-2075x-1102750\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.1, 280.24.0.?, $\ldots$ |
$[(49898014/39, 352471872212/39)]$ |
| 207200.o1 |
207200w2 |
207200.o |
207200w |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{14} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$20720$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1277952$ |
$1.981873$ |
$1613221829349768/708203125$ |
$0.92598$ |
$4.15898$ |
$[0, 0, 0, -488675, 131435750]$ |
\(y^2=x^3-488675x+131435750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.2, 40.24.0-8.o.1.1, $\ldots$ |
$[]$ |
| 207200.o2 |
207200w4 |
207200.o |
207200w |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{8} \cdot 7^{8} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$20720$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1277952$ |
$1.981873$ |
$262168576768008/5332440925$ |
$0.94704$ |
$4.01055$ |
$[0, 0, 0, -266675, -52065750]$ |
\(y^2=x^3-266675x-52065750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 20.12.0-4.c.1.1, 40.24.0-8.o.1.3, $\ldots$ |
$[]$ |
| 207200.o3 |
207200w1 |
207200.o |
207200w |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{10} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$20720$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$638976$ |
$1.635300$ |
$4916468816064/2054355625$ |
$0.97506$ |
$3.51585$ |
$[0, 0, 0, -35425, 1353000]$ |
\(y^2=x^3-35425x+1353000\) |
2.6.0.a.1, 4.12.0.a.1, 20.24.0-4.a.1.1, 56.24.0-4.a.1.2, 280.48.0.?, $\ldots$ |
$[]$ |
| 207200.o4 |
207200w3 |
207200.o |
207200w |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{2} \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$20720$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1277952$ |
$1.981873$ |
$2817559698624/2295847225$ |
$0.93098$ |
$3.81011$ |
$[0, 0, 0, 117700, 9928000]$ |
\(y^2=x^3+117700x+9928000\) |
2.3.0.a.1, 4.12.0.d.1, 20.24.0-4.d.1.1, 56.24.0-4.d.1.4, 280.48.0.?, $\ldots$ |
$[]$ |
| 207200.p1 |
207200f2 |
207200.p |
207200f |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{12} \cdot 5^{7} \cdot 7 \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$638976$ |
$1.503590$ |
$8900630063424/1295$ |
$0.95319$ |
$3.90408$ |
$[0, 0, 0, -172700, 27624000]$ |
\(y^2=x^3-172700x+27624000\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.1, 40.12.0-4.c.1.4, 280.24.0.?, $\ldots$ |
$[]$ |
| 207200.p2 |
207200f4 |
207200.p |
207200f |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{10} \cdot 7^{4} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$638976$ |
$1.503590$ |
$111840831432/55523125$ |
$0.87029$ |
$3.37667$ |
$[0, 0, 0, -20075, -412750]$ |
\(y^2=x^3-20075x-412750\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.1, 56.12.0-4.c.1.5, 280.24.0.?, $\ldots$ |
$[]$ |
| 207200.p3 |
207200f1 |
207200.p |
207200f |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{8} \cdot 7^{2} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$10360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$319488$ |
$1.157017$ |
$140283769536/1677025$ |
$0.91099$ |
$3.22531$ |
$[0, 0, 0, -10825, 429000]$ |
\(y^2=x^3-10825x+429000\) |
2.6.0.a.1, 28.12.0-2.a.1.1, 40.12.0-2.a.1.1, 280.24.0.?, 296.12.0.?, $\ldots$ |
$[]$ |
| 207200.p4 |
207200f3 |
207200.p |
207200f |
$4$ |
$4$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{7} \cdot 7 \cdot 37^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$638976$ |
$1.503590$ |
$-123505992/65595635$ |
$0.92240$ |
$3.37785$ |
$[0, 0, 0, -2075, 1102750]$ |
\(y^2=x^3-2075x+1102750\) |
2.3.0.a.1, 4.6.0.c.1, 28.12.0-4.c.1.2, 40.12.0-4.c.1.2, 280.24.0.?, $\ldots$ |
$[]$ |
| 207200.q1 |
207200y1 |
207200.q |
207200y |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7^{3} \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$248832$ |
$0.972969$ |
$15252992/12691$ |
$0.76958$ |
$2.81950$ |
$[0, -1, 0, 2067, 23237]$ |
\(y^2=x^3-x^2+2067x+23237\) |
518.2.0.? |
$[]$ |
| 207200.r1 |
207200o2 |
207200.r |
207200o |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{6} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.6 |
2B |
$56$ |
$12$ |
$0$ |
$20.82983879$ |
$1$ |
|
$1$ |
$1990656$ |
$1.887499$ |
$656914788557000/161061481$ |
$0.94101$ |
$4.08559$ |
$[0, -1, 0, -362208, -83766088]$ |
\(y^2=x^3-x^2-362208x-83766088\) |
2.3.0.a.1, 8.6.0.b.1, 28.6.0.c.1, 56.12.0.k.1 |
$[(5414198701/1974, 351940233147623/1974)]$ |
| 207200.r2 |
207200o1 |
207200.r |
207200o |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7^{3} \cdot 37^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.1 |
2B |
$56$ |
$12$ |
$0$ |
$10.41491939$ |
$1$ |
|
$1$ |
$995328$ |
$1.540926$ |
$-879217912000/642837223$ |
$0.98867$ |
$3.44197$ |
$[0, -1, 0, -19958, -1626088]$ |
\(y^2=x^3-x^2-19958x-1626088\) |
2.3.0.a.1, 8.6.0.c.1, 14.6.0.b.1, 56.12.0.n.1 |
$[(510484/47, 255362604/47)]$ |
| 207200.s1 |
207200i1 |
207200.s |
207200i |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{3} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1.940479444$ |
$1$ |
|
$3$ |
$139776$ |
$0.575537$ |
$380132782784/1813$ |
$0.85850$ |
$2.91232$ |
$[0, -1, 0, -3018, 64832]$ |
\(y^2=x^3-x^2-3018x+64832\) |
2.3.0.a.1, 40.6.0.d.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[(23, 84)]$ |
| 207200.s2 |
207200i2 |
207200.s |
207200i |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{3} \cdot 7^{4} \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$3.880958888$ |
$1$ |
|
$1$ |
$279552$ |
$0.922111$ |
$-45194100328/3286969$ |
$0.83838$ |
$2.91790$ |
$[0, -1, 0, -2968, 67032]$ |
\(y^2=x^3-x^2-2968x+67032\) |
2.3.0.a.1, 40.6.0.a.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[(217/3, 2548/3)]$ |
| 207200.t1 |
207200z1 |
207200.t |
207200z |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{9} \cdot 7^{3} \cdot 37^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4354560$ |
$2.429401$ |
$-8610335038005128/2973122156375$ |
$0.92230$ |
$4.33402$ |
$[0, -1, 0, -854008, -383554488]$ |
\(y^2=x^3-x^2-854008x-383554488\) |
10360.2.0.? |
$[]$ |
| 207200.u1 |
207200ba2 |
207200.u |
207200ba |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{10} \cdot 7^{2} \cdot 37 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$4.107300065$ |
$1$ |
|
$3$ |
$368640$ |
$1.212982$ |
$8217949832/1133125$ |
$0.79461$ |
$3.16340$ |
$[0, -1, 0, -8408, 261812]$ |
\(y^2=x^3-x^2-8408x+261812\) |
2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.? |
$[(-44, 738)]$ |
| 207200.u2 |
207200ba1 |
207200.u |
207200ba |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{6} \cdot 5^{8} \cdot 7 \cdot 37^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$8.214600131$ |
$1$ |
|
$1$ |
$184320$ |
$0.866409$ |
$65939264/239575$ |
$0.78643$ |
$2.73525$ |
$[0, -1, 0, 842, 21312]$ |
\(y^2=x^3-x^2+842x+21312\) |
2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.? |
$[(223/9, 112094/9)]$ |
| 207200.v1 |
207200bb1 |
207200.v |
207200bb |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 37 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$143360$ |
$0.727929$ |
$-6229504/259$ |
$0.71058$ |
$2.75201$ |
$[0, -1, 0, -1533, 24437]$ |
\(y^2=x^3-x^2-1533x+24437\) |
518.2.0.? |
$[]$ |
| 207200.w1 |
207200j1 |
207200.w |
207200j |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{6} \cdot 5^{9} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$698880$ |
$1.380257$ |
$380132782784/1813$ |
$0.85850$ |
$3.70117$ |
$[0, -1, 0, -75458, -7953088]$ |
\(y^2=x^3-x^2-75458x-7953088\) |
2.3.0.a.1, 40.6.0.d.1, 296.6.0.?, 370.6.0.?, 1480.12.0.? |
$[]$ |
| 207200.w2 |
207200j2 |
207200.w |
207200j |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{9} \cdot 7^{4} \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1480$ |
$12$ |
$0$ |
$1$ |
$9$ |
$3$ |
$1$ |
$1397760$ |
$1.726830$ |
$-45194100328/3286969$ |
$0.83838$ |
$3.70674$ |
$[0, -1, 0, -74208, -8230588]$ |
\(y^2=x^3-x^2-74208x-8230588\) |
2.3.0.a.1, 40.6.0.a.1, 296.6.0.?, 740.6.0.?, 1480.12.0.? |
$[]$ |
| 207200.x1 |
207200h1 |
207200.x |
207200h |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{8} \cdot 7^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$0.292479122$ |
$1$ |
|
$4$ |
$3939840$ |
$2.320919$ |
$-14075832640/5959274797$ |
$0.95455$ |
$4.17905$ |
$[0, -1, 0, -58833, 148685537]$ |
\(y^2=x^3-x^2-58833x+148685537\) |
148.2.0.? |
$[(1817, 77700)]$ |
| 207200.y1 |
207200k2 |
207200.y |
207200k |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( 2^{9} \cdot 5^{6} \cdot 7^{2} \cdot 37 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$245760$ |
$0.966950$ |
$13044257864/1813$ |
$0.97275$ |
$3.20114$ |
$[0, -1, 0, -9808, 377112]$ |
\(y^2=x^3-x^2-9808x+377112\) |
2.3.0.a.1, 28.6.0.c.1, 296.6.0.?, 2072.12.0.? |
$[]$ |
| 207200.y2 |
207200k1 |
207200.y |
207200k |
$2$ |
$2$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{6} \cdot 5^{6} \cdot 7 \cdot 37^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2072$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$122880$ |
$0.620378$ |
$-19248832/9583$ |
$0.78852$ |
$2.54947$ |
$[0, -1, 0, -558, 7112]$ |
\(y^2=x^3-x^2-558x+7112\) |
2.3.0.a.1, 14.6.0.b.1, 296.6.0.?, 2072.12.0.? |
$[]$ |
| 207200.z1 |
207200l1 |
207200.z |
207200l |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{9} \cdot 5^{7} \cdot 7^{5} \cdot 37 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$10360$ |
$2$ |
$0$ |
$1.395461949$ |
$1$ |
|
$2$ |
$345600$ |
$1.259222$ |
$4724717752/3109295$ |
$0.81972$ |
$3.11818$ |
$[0, -1, 0, 6992, 81012]$ |
\(y^2=x^3-x^2+6992x+81012\) |
10360.2.0.? |
$[(372, 7350)]$ |
| 207200.ba1 |
207200m1 |
207200.ba |
207200m |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{2} \cdot 7^{6} \cdot 37^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$148$ |
$2$ |
$0$ |
$2.331075725$ |
$1$ |
|
$2$ |
$787968$ |
$1.516199$ |
$-14075832640/5959274797$ |
$0.95455$ |
$3.39020$ |
$[0, -1, 0, -2353, -1188543]$ |
\(y^2=x^3-x^2-2353x-1188543\) |
148.2.0.? |
$[(393, 7644)]$ |
| 207200.bb1 |
207200n1 |
207200.bb |
207200n |
$1$ |
$1$ |
\( 2^{5} \cdot 5^{2} \cdot 7 \cdot 37 \) |
\( - 2^{12} \cdot 5^{6} \cdot 7 \cdot 37^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$518$ |
$2$ |
$0$ |
$1$ |
$49$ |
$7$ |
$0$ |
$12856320$ |
$2.822403$ |
$-996856898790659465728/354571$ |
$1.01633$ |
$5.41812$ |
$[0, -1, 0, -83245933, -292315220763]$ |
\(y^2=x^3-x^2-83245933x-292315220763\) |
518.2.0.? |
$[]$ |
