| 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 |
| 68400.a1 |
68400bd1 |
68400.a |
68400bd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1.448840966$ |
$1$ |
|
$2$ |
$179712$ |
$1.299734$ |
$20329747200/6859$ |
$1.23942$ |
$3.84736$ |
$[0, 0, 0, -33075, -2314575]$ |
\(y^2=x^3-33075x-2314575\) |
114.2.0.? |
$[(-104, 19)]$ |
| 68400.b1 |
68400ew1 |
68400.b |
68400ew |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{23} \cdot 3^{6} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1.236604505$ |
$1$ |
|
$4$ |
$709632$ |
$1.942394$ |
$-11993263569/972800$ |
$0.93850$ |
$4.30291$ |
$[0, 0, 0, -171675, 29234250]$ |
\(y^2=x^3-171675x+29234250\) |
152.2.0.? |
$[(445, 6400)]$ |
| 68400.c1 |
68400cq1 |
68400.c |
68400cq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$0.582073053$ |
$1$ |
|
$2$ |
$230400$ |
$1.384455$ |
$584362240/4617$ |
$0.85724$ |
$3.81077$ |
$[0, 0, 0, -28875, 1875625]$ |
\(y^2=x^3-28875x+1875625\) |
114.2.0.? |
$[(200, 2025)]$ |
| 68400.d1 |
68400fu1 |
68400.d |
68400fu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{8} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$138240$ |
$1.210625$ |
$-1404928/171$ |
$0.86512$ |
$3.49519$ |
$[0, 0, 0, -8400, 326000]$ |
\(y^2=x^3-8400x+326000\) |
38.2.0.a.1 |
$[ ]$ |
| 68400.e1 |
68400fv1 |
68400.e |
68400fv |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$207360$ |
$1.240301$ |
$2195200/57$ |
$0.77412$ |
$3.59831$ |
$[0, 0, 0, -13125, -565625]$ |
\(y^2=x^3-13125x-565625\) |
114.2.0.? |
$[ ]$ |
| 68400.f1 |
68400bc1 |
68400.f |
68400bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{4} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$0.210122084$ |
$1$ |
|
$6$ |
$59904$ |
$0.750428$ |
$20329747200/6859$ |
$1.23942$ |
$3.25529$ |
$[0, 0, 0, -3675, 85725]$ |
\(y^2=x^3-3675x+85725\) |
114.2.0.? |
$[(60, 285)]$ |
| 68400.g1 |
68400do2 |
68400.g |
68400do |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{17} \cdot 3^{9} \cdot 5^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$2.376368574$ |
$1$ |
|
$7$ |
$2211840$ |
$2.452179$ |
$651038076963/7220000$ |
$1.04112$ |
$4.94594$ |
$[0, 0, 0, -1950075, 1038062250]$ |
\(y^2=x^3-1950075x+1038062250\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(735, 1350)]$ |
| 68400.g2 |
68400do1 |
68400.g |
68400do |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{9} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$4.752737149$ |
$1$ |
|
$5$ |
$1105920$ |
$2.105606$ |
$961504803/486400$ |
$0.92981$ |
$4.36049$ |
$[0, 0, 0, -222075, -14289750]$ |
\(y^2=x^3-222075x-14289750\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(-410, 2800)]$ |
| 68400.h1 |
68400dy1 |
68400.h |
68400dy |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$2.413596395$ |
$1$ |
|
$2$ |
$172800$ |
$1.286959$ |
$-2160/19$ |
$0.69252$ |
$3.48250$ |
$[0, 0, 0, -3375, -303750]$ |
\(y^2=x^3-3375x-303750\) |
228.2.0.? |
$[(450, 9450)]$ |
| 68400.i1 |
68400ft4 |
68400.i |
68400ft |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{8} \cdot 5^{7} \cdot 19^{4} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$5.341741283$ |
$1$ |
|
$15$ |
$2359296$ |
$2.451859$ |
$100162392144121/23457780$ |
$0.97072$ |
$5.10224$ |
$[0, 0, 0, -3483075, -2501522750]$ |
\(y^2=x^3-3483075x-2501522750\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.2, 20.12.0.g.1, $\ldots$ |
$[(-1071, 608), (-1065, 50)]$ |
| 68400.i2 |
68400ft3 |
68400.i |
68400ft |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{10} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$5.341741283$ |
$1$ |
|
$13$ |
$2359296$ |
$2.451859$ |
$9912050027641/311647500$ |
$0.95744$ |
$4.89448$ |
$[0, 0, 0, -1611075, 765405250]$ |
\(y^2=x^3-1611075x+765405250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.z.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(455, 11250), (1455, 38750)]$ |
| 68400.i3 |
68400ft2 |
68400.i |
68400ft |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1140$ |
$48$ |
$0$ |
$5.341741283$ |
$1$ |
|
$25$ |
$1179648$ |
$2.105286$ |
$34043726521/11696400$ |
$0.92900$ |
$4.38484$ |
$[0, 0, 0, -243075, -29402750]$ |
\(y^2=x^3-243075x-29402750\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 60.24.0-20.b.1.1, 76.12.0.?, $\ldots$ |
$[(-265, 4050), (-190, 3150)]$ |
| 68400.i4 |
68400ft1 |
68400.i |
68400ft |
$4$ |
$4$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{20} \cdot 3^{8} \cdot 5^{7} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$2280$ |
$48$ |
$0$ |
$5.341741283$ |
$1$ |
|
$15$ |
$589824$ |
$1.758713$ |
$214921799/218880$ |
$0.88983$ |
$3.92988$ |
$[0, 0, 0, 44925, -3194750]$ |
\(y^2=x^3+44925x-3194750\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 120.24.0.?, $\ldots$ |
$[(215, 4050), (71, 594)]$ |
| 68400.j1 |
68400eu1 |
68400.j |
68400eu |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{20} \cdot 3^{11} \cdot 5^{10} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$5.127064587$ |
$1$ |
|
$2$ |
$1843200$ |
$2.510216$ |
$-23891790625/1181952$ |
$1.01527$ |
$4.93865$ |
$[0, 0, 0, -1846875, 1006506250]$ |
\(y^2=x^3-1846875x+1006506250\) |
228.2.0.? |
$[(431, 17046)]$ |
| 68400.k1 |
68400db2 |
68400.k |
68400db |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{3} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$2.252950642$ |
$1$ |
|
$15$ |
$139264$ |
$1.204119$ |
$28662399178/171$ |
$0.93434$ |
$3.87344$ |
$[0, 0, 0, -36435, 2676850]$ |
\(y^2=x^3-36435x+2676850\) |
2.3.0.a.1, 60.6.0.c.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(95, 270), (111, 14)]$ |
| 68400.k2 |
68400db1 |
68400.k |
68400db |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$0.563237660$ |
$1$ |
|
$27$ |
$69632$ |
$0.857545$ |
$-13231796/1083$ |
$0.83591$ |
$3.13316$ |
$[0, 0, 0, -2235, 43450]$ |
\(y^2=x^3-2235x+43450\) |
2.3.0.a.1, 30.6.0.a.1, 456.6.0.?, 760.6.0.?, 2280.12.0.? |
$[(5, 180), (21, 76)]$ |
| 68400.l1 |
68400et3 |
68400.l |
68400et |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{14} \cdot 3^{7} \cdot 5^{6} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$5.350391242$ |
$1$ |
|
$3$ |
$995328$ |
$2.152676$ |
$8671983378625/82308$ |
$1.00775$ |
$4.88247$ |
$[0, 0, 0, -1540875, -736199750]$ |
\(y^2=x^3-1540875x-736199750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(3989, 237888)]$ |
| 68400.l2 |
68400et4 |
68400.l |
68400et |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{13} \cdot 3^{8} \cdot 5^{6} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$10.70078248$ |
$1$ |
|
$1$ |
$1990656$ |
$2.499249$ |
$-8078253774625/846825858$ |
$1.01015$ |
$4.89106$ |
$[0, 0, 0, -1504875, -772235750]$ |
\(y^2=x^3-1504875x-772235750\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(195386/7, 81622134/7)]$ |
| 68400.l3 |
68400et1 |
68400.l |
68400et |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.4, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$1.783463747$ |
$1$ |
|
$5$ |
$331776$ |
$1.603369$ |
$57066625/32832$ |
$1.04766$ |
$3.81077$ |
$[0, 0, 0, -28875, 144250]$ |
\(y^2=x^3-28875x+144250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.d.1, 24.24.0.bx.1, $\ldots$ |
$[(-70, 1350)]$ |
| 68400.l4 |
68400et2 |
68400.l |
68400et |
$4$ |
$6$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{15} \cdot 3^{12} \cdot 5^{6} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
8.6.0.5, 3.4.0.1 |
2B, 3B |
$2280$ |
$96$ |
$1$ |
$3.566927494$ |
$1$ |
|
$3$ |
$663552$ |
$1.949942$ |
$3616805375/2105352$ |
$1.07346$ |
$4.18345$ |
$[0, 0, 0, 115125, 1152250]$ |
\(y^2=x^3+115125x+1152250\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 8.6.0.a.1, 24.24.0.p.1, $\ldots$ |
$[(314, 8262)]$ |
| 68400.m1 |
68400ev2 |
68400.m |
68400ev |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{10} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$2.181189336$ |
$1$ |
|
$3$ |
$294912$ |
$1.471439$ |
$192143824/106875$ |
$0.89049$ |
$3.67078$ |
$[0, 0, 0, -17175, -170750]$ |
\(y^2=x^3-17175x-170750\) |
2.3.0.a.1, 12.6.0.c.1, 76.6.0.?, 228.12.0.? |
$[(170, 1350)]$ |
| 68400.m2 |
68400ev1 |
68400.m |
68400ev |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{8} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$228$ |
$12$ |
$0$ |
$4.362378672$ |
$1$ |
|
$3$ |
$147456$ |
$1.124866$ |
$44957696/27075$ |
$1.24370$ |
$3.29127$ |
$[0, 0, 0, 4200, -21125]$ |
\(y^2=x^3+4200x-21125\) |
2.3.0.a.1, 6.6.0.a.1, 76.6.0.?, 228.12.0.? |
$[(309, 5548)]$ |
| 68400.n1 |
68400gc1 |
68400.n |
68400gc |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{7} \cdot 5^{8} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$245760$ |
$1.515701$ |
$-16539745/57$ |
$0.84560$ |
$3.98919$ |
$[0, 0, 0, -55875, -5098750]$ |
\(y^2=x^3-55875x-5098750\) |
228.2.0.? |
$[ ]$ |
| 68400.o1 |
68400dc2 |
68400.o |
68400dc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$270336$ |
$1.377184$ |
$81202348906/9747$ |
$0.94325$ |
$3.96697$ |
$[0, 0, 0, -51555, -4505150]$ |
\(y^2=x^3-51555x-4505150\) |
2.3.0.a.1, 120.6.0.?, 380.6.0.?, 456.6.0.?, 2280.12.0.? |
$[ ]$ |
| 68400.o2 |
68400dc1 |
68400.o |
68400dc |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{12} \cdot 5^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$135168$ |
$1.030611$ |
$-30581492/13851$ |
$0.86289$ |
$3.24845$ |
$[0, 0, 0, -2955, -82550]$ |
\(y^2=x^3-2955x-82550\) |
2.3.0.a.1, 120.6.0.?, 190.6.0.?, 456.6.0.?, 2280.12.0.? |
$[ ]$ |
| 68400.p1 |
68400dx1 |
68400.p |
68400dx |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$228$ |
$2$ |
$0$ |
$2.990011608$ |
$1$ |
|
$2$ |
$57600$ |
$0.737653$ |
$-2160/19$ |
$0.69252$ |
$2.89042$ |
$[0, 0, 0, -375, 11250]$ |
\(y^2=x^3-375x+11250\) |
228.2.0.? |
$[(6, 96)]$ |
| 68400.q1 |
68400dn2 |
68400.q |
68400dn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{17} \cdot 3^{3} \cdot 5^{10} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$1.503787192$ |
$1$ |
|
$7$ |
$737280$ |
$1.902872$ |
$651038076963/7220000$ |
$1.04112$ |
$4.35386$ |
$[0, 0, 0, -216675, -38446750]$ |
\(y^2=x^3-216675x-38446750\) |
2.3.0.a.1, 24.6.0.a.1, 152.6.0.?, 228.6.0.?, 456.12.0.? |
$[(-271, 608)]$ |
| 68400.q2 |
68400dn1 |
68400.q |
68400dn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{22} \cdot 3^{3} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$456$ |
$12$ |
$0$ |
$3.007574384$ |
$1$ |
|
$5$ |
$368640$ |
$1.556299$ |
$961504803/486400$ |
$0.92981$ |
$3.76841$ |
$[0, 0, 0, -24675, 529250]$ |
\(y^2=x^3-24675x+529250\) |
2.3.0.a.1, 24.6.0.d.1, 114.6.0.?, 152.6.0.?, 456.12.0.? |
$[(295, 4350)]$ |
| 68400.r1 |
68400bp1 |
68400.r |
68400bp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$215040$ |
$1.422831$ |
$70575104/61731$ |
$0.95058$ |
$3.58081$ |
$[0, 0, 0, 12300, 375500]$ |
\(y^2=x^3+12300x+375500\) |
38.2.0.a.1 |
$[ ]$ |
| 68400.s1 |
68400cd1 |
68400.s |
68400cd |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$2.923590170$ |
$1$ |
|
$2$ |
$53760$ |
$0.742546$ |
$-1024/19$ |
$0.79665$ |
$2.89437$ |
$[0, 0, 0, -300, 11500]$ |
\(y^2=x^3-300x+11500\) |
38.2.0.a.1 |
$[(41, 261)]$ |
| 68400.t1 |
68400n1 |
68400.t |
68400n |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$161280$ |
$1.375025$ |
$172800/19$ |
$0.72572$ |
$3.66603$ |
$[0, 0, 0, -16875, -759375]$ |
\(y^2=x^3-16875x-759375\) |
114.2.0.? |
$[ ]$ |
| 68400.u1 |
68400gm1 |
68400.u |
68400gm |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{13} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$3.115503244$ |
$1$ |
|
$0$ |
$161280$ |
$1.443802$ |
$132893440/41553$ |
$0.85164$ |
$3.67775$ |
$[0, 0, 0, -17625, -610625]$ |
\(y^2=x^3-17625x-610625\) |
114.2.0.? |
$[(-151/2, 243/2)]$ |
| 68400.v1 |
68400bn1 |
68400.v |
68400bn |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{12} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$165888$ |
$1.337347$ |
$-81415168/13851$ |
$0.91437$ |
$3.61680$ |
$[0, 0, 0, -12900, 641500]$ |
\(y^2=x^3-12900x+641500\) |
38.2.0.a.1 |
$[ ]$ |
| 68400.w1 |
68400m1 |
68400.w |
68400m |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{3} \cdot 5^{10} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$0.825719$ |
$172800/19$ |
$0.72572$ |
$3.07395$ |
$[0, 0, 0, -1875, 28125]$ |
\(y^2=x^3-1875x+28125\) |
114.2.0.? |
$[ ]$ |
| 68400.x1 |
68400bo1 |
68400.x |
68400bo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{11} \cdot 5^{10} \cdot 19^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$691200$ |
$2.012135$ |
$3930400000/1666737$ |
$1.02560$ |
$4.27110$ |
$[0, 0, 0, -159375, -12659375]$ |
\(y^2=x^3-159375x-12659375\) |
114.2.0.? |
$[ ]$ |
| 68400.y1 |
68400ce1 |
68400.y |
68400ce |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$0.745571554$ |
$1$ |
|
$2$ |
$12288$ |
$0.086493$ |
$160000/57$ |
$0.80004$ |
$2.20657$ |
$[0, 0, 0, -75, -155]$ |
\(y^2=x^3-75x-155\) |
114.2.0.? |
$[(-4, 9)]$ |
| 68400.z1 |
68400fp1 |
68400.z |
68400fp |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$38$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$80640$ |
$0.913095$ |
$-4194304/19$ |
$1.07903$ |
$3.32795$ |
$[0, 0, 0, -4800, -128500]$ |
\(y^2=x^3-4800x-128500\) |
38.2.0.a.1 |
$[ ]$ |
| 68400.ba1 |
68400bq1 |
68400.ba |
68400bq |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{7} \cdot 5^{2} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$114$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$15360$ |
$0.207937$ |
$6288640/57$ |
$0.77054$ |
$2.53634$ |
$[0, 0, 0, -255, -1555]$ |
\(y^2=x^3-255x-1555\) |
114.2.0.? |
$[ ]$ |
| 68400.bb1 |
68400ep2 |
68400.bb |
68400ep |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{16} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$2.313322017$ |
$1$ |
|
$5$ |
$983040$ |
$2.165813$ |
$48587168449/28048275$ |
$1.03180$ |
$4.41679$ |
$[0, 0, 0, -273675, -2735750]$ |
\(y^2=x^3-273675x-2735750\) |
2.3.0.a.1, 60.6.0.c.1, 76.6.0.?, 1140.12.0.? |
$[(-385, 6750)]$ |
| 68400.bb2 |
68400ep1 |
68400.bb |
68400ep |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{11} \cdot 5^{7} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1140$ |
$12$ |
$0$ |
$1.156661008$ |
$1$ |
|
$7$ |
$491520$ |
$1.819241$ |
$756058031/438615$ |
$1.00322$ |
$4.04286$ |
$[0, 0, 0, 68325, -341750]$ |
\(y^2=x^3+68325x-341750\) |
2.3.0.a.1, 30.6.0.a.1, 76.6.0.?, 1140.12.0.? |
$[(119, 3078)]$ |
| 68400.bc1 |
68400ga2 |
68400.bc |
68400ga |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.151402022$ |
$1$ |
|
$19$ |
$65536$ |
$0.915795$ |
$13312053/361$ |
$0.88614$ |
$3.24634$ |
$[0, 0, 0, -3555, 79650]$ |
\(y^2=x^3-3555x+79650\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(49, 152), (25, 80)]$ |
| 68400.bc2 |
68400ga1 |
68400.bc |
68400ga |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{12} \cdot 3^{6} \cdot 5^{3} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.151402022$ |
$1$ |
|
$21$ |
$32768$ |
$0.569221$ |
$27/19$ |
$1.11940$ |
$2.70688$ |
$[0, 0, 0, 45, 4050]$ |
\(y^2=x^3+45x+4050\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(9, 72), (-9, 54)]$ |
| 68400.bd1 |
68400cn2 |
68400.bd |
68400cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{9} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$5.052029155$ |
$1$ |
|
$3$ |
$3686400$ |
$3.082626$ |
$252122146858292/34296447249$ |
$0.99651$ |
$5.49432$ |
$[0, 0, 0, -14923875, 19408131250]$ |
\(y^2=x^3-14923875x+19408131250\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(-1575, 197500)]$ |
| 68400.bd2 |
68400cn1 |
68400.bd |
68400cn |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{18} \cdot 5^{9} \cdot 19^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$10.10405831$ |
$1$ |
|
$1$ |
$1843200$ |
$2.736053$ |
$980844844912/3645153819$ |
$0.98573$ |
$5.02320$ |
$[0, 0, 0, 1478625, 1611418750]$ |
\(y^2=x^3+1478625x+1611418750\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[(5589/5, 5524312/5)]$ |
| 68400.be1 |
68400bk2 |
68400.be |
68400bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{8} \cdot 19^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.459634993$ |
$1$ |
|
$23$ |
$245760$ |
$1.530117$ |
$48275138/27075$ |
$1.06650$ |
$3.73348$ |
$[0, 0, 0, -21675, -215750]$ |
\(y^2=x^3-21675x-215750\) |
2.3.0.a.1, 24.6.0.a.1, 380.6.0.?, 2280.12.0.? |
$[(-55, 900), (-105, 950)]$ |
| 68400.be2 |
68400bk1 |
68400.be |
68400bk |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{7} \cdot 19 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2280$ |
$12$ |
$0$ |
$1.459634993$ |
$1$ |
|
$23$ |
$122880$ |
$1.183544$ |
$1431644/855$ |
$0.83891$ |
$3.35522$ |
$[0, 0, 0, 5325, -26750]$ |
\(y^2=x^3+5325x-26750\) |
2.3.0.a.1, 24.6.0.d.1, 190.6.0.?, 2280.12.0.? |
$[(35, 450), (485, 10800)]$ |
| 68400.bf1 |
68400eo2 |
68400.bf |
68400eo |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{8} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$3.868248986$ |
$1$ |
|
$3$ |
$147456$ |
$1.248865$ |
$472058064/475$ |
$0.91565$ |
$3.75151$ |
$[0, 0, 0, -23175, -1356750]$ |
\(y^2=x^3-23175x-1356750\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 380.12.0.? |
$[(630, 15300)]$ |
| 68400.bf2 |
68400eo1 |
68400.bf |
68400eo |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{7} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1.934124493$ |
$1$ |
|
$3$ |
$73728$ |
$0.902291$ |
$3538944/1805$ |
$1.20155$ |
$3.06295$ |
$[0, 0, 0, -1800, -10125]$ |
\(y^2=x^3-1800x-10125\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[(-35, 100)]$ |
| 68400.bg1 |
68400cx1 |
68400.bg |
68400cx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{3} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$57344$ |
$0.733467$ |
$61011968/29241$ |
$0.91919$ |
$2.88501$ |
$[0, 0, 0, -930, -4525]$ |
\(y^2=x^3-930x-4525\) |
2.3.0.a.1, 10.6.0.a.1, 76.6.0.?, 380.12.0.? |
$[ ]$ |
| 68400.bg2 |
68400cx2 |
68400.bg |
68400cx |
$2$ |
$2$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 19 \) |
\( - 2^{8} \cdot 3^{14} \cdot 5^{3} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$380$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$114688$ |
$1.080042$ |
$177433072/124659$ |
$0.89761$ |
$3.22993$ |
$[0, 0, 0, 3345, -34450]$ |
\(y^2=x^3+3345x-34450\) |
2.3.0.a.1, 20.6.0.c.1, 76.6.0.?, 190.6.0.?, 380.12.0.? |
$[ ]$ |
