| 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 |
| 23400.a1 |
23400y1 |
23400.a |
23400y |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{3} \cdot 13^{3} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.109213978$ |
$1$ |
|
$34$ |
$46080$ |
$1.008928$ |
$351232/59319$ |
$1.13031$ |
$3.51942$ |
$[0, 0, 0, 420, 56500]$ |
\(y^2=x^3+420x+56500\) |
390.2.0.? |
$[(74, 702), (-30, 130)]$ |
| 23400.b1 |
23400bo1 |
23400.b |
23400bo |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{11} \cdot 3^{6} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$104$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$33600$ |
$0.960994$ |
$-235298/13$ |
$0.96559$ |
$3.61143$ |
$[0, 0, 0, -3675, 89750]$ |
\(y^2=x^3-3675x+89750\) |
104.2.0.? |
$[]$ |
| 23400.c1 |
23400bk4 |
23400.c |
23400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$7.600897712$ |
$1$ |
|
$3$ |
$294912$ |
$2.034405$ |
$31103978031362/195$ |
$0.97111$ |
$5.46109$ |
$[0, 0, 0, -1872075, -985900250]$ |
\(y^2=x^3-1872075x-985900250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.2, 40.12.0.bb.1, 104.12.0.?, $\ldots$ |
$[(9210, 873500)]$ |
| 23400.c2 |
23400bk3 |
23400.c |
23400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{10} \cdot 5^{7} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.900224428$ |
$1$ |
|
$3$ |
$294912$ |
$2.034405$ |
$20183398562/11567205$ |
$1.00841$ |
$4.73148$ |
$[0, 0, 0, -162075, -2470250]$ |
\(y^2=x^3-162075x-2470250\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.v.1, 60.12.0-4.c.1.1, $\ldots$ |
$[(-130, 4050)]$ |
| 23400.c3 |
23400bk2 |
23400.c |
23400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$3.800448856$ |
$1$ |
|
$7$ |
$147456$ |
$1.687830$ |
$15214885924/38025$ |
$0.90605$ |
$4.63450$ |
$[0, 0, 0, -117075, -15385250]$ |
\(y^2=x^3-117075x-15385250\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.a.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[(435, 4000)]$ |
| 23400.c4 |
23400bk1 |
23400.c |
23400bk |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.900224428$ |
$1$ |
|
$5$ |
$73728$ |
$1.341257$ |
$-3631696/24375$ |
$0.84900$ |
$3.91951$ |
$[0, 0, 0, -4575, -422750]$ |
\(y^2=x^3-4575x-422750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.6, 40.12.0.bb.1, 60.12.0-4.c.1.2, $\ldots$ |
$[(185, 2250)]$ |
| 23400.d1 |
23400l4 |
23400.d |
23400l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.946125$ |
$19129597231400697604/26325$ |
$1.02876$ |
$6.71712$ |
$[0, 0, 0, -126360075, 546717437750]$ |
\(y^2=x^3-126360075x+546717437750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 23400.d2 |
23400l2 |
23400.d |
23400l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$589824$ |
$2.599552$ |
$18681746265374416/693005625$ |
$1.11967$ |
$5.89035$ |
$[0, 0, 0, -7897575, 8542300250]$ |
\(y^2=x^3-7897575x+8542300250\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 52.24.0.b.1, 60.24.0-4.a.1.1, $\ldots$ |
$[]$ |
| 23400.d3 |
23400l3 |
23400.d |
23400l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{14} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$1179648$ |
$2.946125$ |
$-4053153720264484/903687890625$ |
$0.99872$ |
$5.90865$ |
$[0, 0, 0, -7533075, 9366434750]$ |
\(y^2=x^3-7533075x+9366434750\) |
2.3.0.a.1, 4.24.0.c.1, 60.48.0-4.c.1.1, 104.48.1.?, 624.96.1.?, $\ldots$ |
$[]$ |
| 23400.d4 |
23400l1 |
23400.d |
23400l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{22} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.252979$ |
$83587439220736/13990184325$ |
$1.00034$ |
$5.07707$ |
$[0, 0, 0, -516450, 120436625]$ |
\(y^2=x^3-516450x+120436625\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 26.6.0.b.1, $\ldots$ |
$[]$ |
| 23400.e1 |
23400m4 |
23400.e |
23400m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{14} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.656858$ |
$3044193988/85293$ |
$0.95679$ |
$4.47456$ |
$[0, 0, 0, -68475, 6727750]$ |
\(y^2=x^3-68475x+6727750\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
| 23400.e2 |
23400m2 |
23400.e |
23400m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{10} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$1560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$65536$ |
$1.310286$ |
$37642192/13689$ |
$0.91195$ |
$3.90012$ |
$[0, 0, 0, -9975, -233750]$ |
\(y^2=x^3-9975x-233750\) |
2.6.0.a.1, 4.12.0.a.1, 24.24.0.k.1, 40.24.0-4.a.1.3, 52.24.0.b.1, $\ldots$ |
$[]$ |
| 23400.e3 |
23400m1 |
23400.e |
23400m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.963712$ |
$420616192/117$ |
$0.96408$ |
$3.86444$ |
$[0, 0, 0, -8850, -320375]$ |
\(y^2=x^3-8850x-320375\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 26.6.0.b.1, 48.24.0.i.1, $\ldots$ |
$[]$ |
| 23400.e4 |
23400m3 |
23400.e |
23400m |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{8} \cdot 5^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.656858$ |
$269676572/257049$ |
$0.96683$ |
$4.23364$ |
$[0, 0, 0, 30525, -1651250]$ |
\(y^2=x^3+30525x-1651250\) |
2.3.0.a.1, 4.12.0.d.1, 12.24.0.e.1, 20.24.0-4.d.1.2, 60.48.0-12.e.1.1, $\ldots$ |
$[]$ |
| 23400.f1 |
23400br2 |
23400.f |
23400br |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{9} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$102400$ |
$1.595678$ |
$5606442/169$ |
$1.17666$ |
$4.39747$ |
$[0, 0, 0, -52875, -4556250]$ |
\(y^2=x^3-52875x-4556250\) |
2.3.0.a.1, 40.6.0.b.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 23400.f2 |
23400br1 |
23400.f |
23400br |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$51200$ |
$1.249104$ |
$37044/13$ |
$0.73783$ |
$3.82963$ |
$[0, 0, 0, -7875, 168750]$ |
\(y^2=x^3-7875x+168750\) |
2.3.0.a.1, 40.6.0.c.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
| 23400.g1 |
23400e1 |
23400.g |
23400e |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.190050146$ |
$1$ |
|
$24$ |
$15360$ |
$0.577619$ |
$-27648/65$ |
$0.73656$ |
$3.01643$ |
$[0, 0, 0, -300, 4500]$ |
\(y^2=x^3-300x+4500\) |
390.2.0.? |
$[(10, 50), (30, 150)]$ |
| 23400.h1 |
23400bj1 |
23400.h |
23400bj |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.700972151$ |
$1$ |
|
$4$ |
$6912$ |
$0.293163$ |
$-2500/13$ |
$0.84551$ |
$2.67057$ |
$[0, 0, 0, -75, 790]$ |
\(y^2=x^3-75x+790\) |
52.2.0.a.1 |
$[(11, 36)]$ |
| 23400.i1 |
23400bu1 |
23400.i |
23400bu |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$52$ |
$2$ |
$0$ |
$0.971542616$ |
$1$ |
|
$4$ |
$172800$ |
$1.951157$ |
$86614940/371293$ |
$0.92460$ |
$4.62533$ |
$[0, 0, 0, 61125, 14723750]$ |
\(y^2=x^3+61125x+14723750\) |
52.2.0.a.1 |
$[(211, 6084)]$ |
| 23400.j1 |
23400bd1 |
23400.j |
23400bd |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$2.030080095$ |
$1$ |
|
$2$ |
$46080$ |
$1.126925$ |
$-27648/65$ |
$0.73656$ |
$3.67164$ |
$[0, 0, 0, -2700, -121500]$ |
\(y^2=x^3-2700x-121500\) |
390.2.0.? |
$[(360, 6750)]$ |
| 23400.k1 |
23400bc2 |
23400.k |
23400bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.105432527$ |
$1$ |
|
$7$ |
$16384$ |
$0.788278$ |
$530604/169$ |
$0.85497$ |
$3.28669$ |
$[0, 0, 0, -1275, 11750]$ |
\(y^2=x^3-1275x+11750\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(35, 100)]$ |
| 23400.k2 |
23400bc1 |
23400.k |
23400bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.552716263$ |
$1$ |
|
$9$ |
$8192$ |
$0.441704$ |
$11664/13$ |
$0.66228$ |
$2.76944$ |
$[0, 0, 0, 225, 1250]$ |
\(y^2=x^3+225x+1250\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(5, 50)]$ |
| 23400.l1 |
23400r2 |
23400.l |
23400r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{9} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.869070172$ |
$1$ |
|
$3$ |
$368640$ |
$2.440559$ |
$4234737878642/1247410125$ |
$0.96992$ |
$5.26289$ |
$[0, 0, 0, -963075, 254902750]$ |
\(y^2=x^3-963075x+254902750\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(230, 6750)]$ |
| 23400.l2 |
23400r1 |
23400.l |
23400r |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.738140344$ |
$1$ |
|
$1$ |
$184320$ |
$2.093987$ |
$40254822716/49359375$ |
$0.94318$ |
$4.74237$ |
$[0, 0, 0, 161925, 26527750]$ |
\(y^2=x^3+161925x+26527750\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(-665/3, 101600/3)]$ |
| 23400.m1 |
23400d2 |
23400.m |
23400d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{10} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$2.281208$ |
$216092050322508/3016755625$ |
$1.03524$ |
$5.25726$ |
$[0, 0, 0, -945075, -349337250]$ |
\(y^2=x^3-945075x-349337250\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 23400.m2 |
23400d1 |
23400.m |
23400d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{14} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$221184$ |
$1.934635$ |
$-445090032/858203125$ |
$1.13399$ |
$4.62433$ |
$[0, 0, 0, -7575, -14649750]$ |
\(y^2=x^3-7575x-14649750\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 23400.n1 |
23400q1 |
23400.n |
23400q |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{2} \cdot 13^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.497537238$ |
$1$ |
|
$4$ |
$12096$ |
$0.649970$ |
$17280000/2197$ |
$1.04671$ |
$3.18283$ |
$[0, 0, 0, -900, -9180]$ |
\(y^2=x^3-900x-9180\) |
26.2.0.a.1 |
$[(-14, 26)]$ |
| 23400.o1 |
23400bb2 |
23400.o |
23400bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{10} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$2.572401521$ |
$1$ |
|
$5$ |
$1327104$ |
$2.830517$ |
$216092050322508/3016755625$ |
$1.03524$ |
$5.91247$ |
$[0, 0, 0, -8505675, 9432105750]$ |
\(y^2=x^3-8505675x+9432105750\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(1179, 32292)]$ |
| 23400.o2 |
23400bb1 |
23400.o |
23400bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{14} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.286200760$ |
$1$ |
|
$7$ |
$663552$ |
$2.483944$ |
$-445090032/858203125$ |
$1.13399$ |
$5.27953$ |
$[0, 0, 0, -68175, 395543250]$ |
\(y^2=x^3-68175x+395543250\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(-495, 17550)]$ |
| 23400.p1 |
23400c2 |
23400.p |
23400c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$1.337584$ |
$530604/169$ |
$0.85497$ |
$3.94189$ |
$[0, 0, 0, -11475, -317250]$ |
\(y^2=x^3-11475x-317250\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 23400.p2 |
23400c1 |
23400.p |
23400c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$0.991010$ |
$11664/13$ |
$0.66228$ |
$3.42464$ |
$[0, 0, 0, 2025, -33750]$ |
\(y^2=x^3+2025x-33750\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 23400.q1 |
23400v1 |
23400.q |
23400v |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{17} \cdot 5^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$394240$ |
$2.309959$ |
$-789601498112/2302911$ |
$0.98466$ |
$5.36968$ |
$[0, 0, 0, -1375500, -622487500]$ |
\(y^2=x^3-1375500x-622487500\) |
390.2.0.? |
$[]$ |
| 23400.r1 |
23400p2 |
23400.r |
23400p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.286159119$ |
$1$ |
|
$5$ |
$36864$ |
$1.140163$ |
$137842000/117$ |
$0.90407$ |
$4.02914$ |
$[0, 0, 0, -15375, 733250]$ |
\(y^2=x^3-15375x+733250\) |
2.3.0.a.1, 12.6.0.c.1, 26.6.0.b.1, 156.12.0.? |
$[(-5, 900)]$ |
| 23400.r2 |
23400p1 |
23400.r |
23400p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.643079559$ |
$1$ |
|
$9$ |
$18432$ |
$0.793591$ |
$-256000/507$ |
$0.90091$ |
$3.27623$ |
$[0, 0, 0, -750, 16625]$ |
\(y^2=x^3-750x+16625\) |
2.3.0.a.1, 6.6.0.a.1, 52.6.0.c.1, 156.12.0.? |
$[(4, 117)]$ |
| 23400.s1 |
23400g4 |
23400.s |
23400g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{7} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.221684$ |
$10625310339698/3855735$ |
$1.18546$ |
$5.35433$ |
$[0, 0, 0, -1308675, -576049250]$ |
\(y^2=x^3-1308675x-576049250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.2, 104.12.0.?, $\ldots$ |
$[]$ |
| 23400.s2 |
23400g3 |
23400.s |
23400g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{18} \cdot 5^{7} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.221684$ |
$1481943889298/34543665$ |
$0.95159$ |
$5.15853$ |
$[0, 0, 0, -678675, 210820750]$ |
\(y^2=x^3-678675x+210820750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0-4.c.1.5, 104.12.0.?, $\ldots$ |
$[]$ |
| 23400.s3 |
23400g2 |
23400.s |
23400g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{8} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.875109$ |
$7793764996/3080025$ |
$0.92131$ |
$4.56800$ |
$[0, 0, 0, -93675, -6214250]$ |
\(y^2=x^3-93675x-6214250\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 24.12.0-2.a.1.1, 104.12.0.?, 120.24.0.?, $\ldots$ |
$[]$ |
| 23400.s4 |
23400g1 |
23400.s |
23400g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{10} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.528534$ |
$253012016/219375$ |
$0.87387$ |
$4.08950$ |
$[0, 0, 0, 18825, -701750]$ |
\(y^2=x^3+18825x-701750\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0-4.c.1.6, 78.6.0.?, $\ldots$ |
$[]$ |
| 23400.t1 |
23400bg1 |
23400.t |
23400bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{7} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$0.648606342$ |
$1$ |
|
$9$ |
$18432$ |
$0.959689$ |
$3631696/65$ |
$0.75998$ |
$3.66768$ |
$[0, 0, 0, -4575, 117250]$ |
\(y^2=x^3-4575x+117250\) |
2.3.0.a.1, 4.6.0.b.1, 120.12.0.?, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(45, 50)]$ |
| 23400.t2 |
23400bg2 |
23400.t |
23400bg |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$1.297212684$ |
$1$ |
|
$7$ |
$36864$ |
$1.306263$ |
$-4/4225$ |
$1.09431$ |
$3.87489$ |
$[0, 0, 0, -75, 337750]$ |
\(y^2=x^3-75x+337750\) |
2.3.0.a.1, 4.6.0.a.1, 60.12.0-4.a.1.1, 156.12.0.?, 260.12.0.?, $\ldots$ |
$[(-45, 500)]$ |
| 23400.u1 |
23400a2 |
23400.u |
23400a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{11} \cdot 3^{9} \cdot 5^{7} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.709787531$ |
$1$ |
|
$3$ |
$110592$ |
$1.720066$ |
$492983766/845$ |
$0.87955$ |
$4.69010$ |
$[0, 0, 0, -141075, 20364750]$ |
\(y^2=x^3-141075x+20364750\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(610, 12700)]$ |
| 23400.u2 |
23400a1 |
23400.u |
23400a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.354893765$ |
$1$ |
|
$5$ |
$55296$ |
$1.373491$ |
$-78732/325$ |
$0.84264$ |
$3.96058$ |
$[0, 0, 0, -6075, 519750]$ |
\(y^2=x^3-6075x+519750\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-65, 800)]$ |
| 23400.v1 |
23400bf4 |
23400.v |
23400bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{14} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.876473787$ |
$1$ |
|
$3$ |
$294912$ |
$2.365540$ |
$49235161015876/137109375$ |
$0.96975$ |
$5.43785$ |
$[0, 0, 0, -1731675, -874984250]$ |
\(y^2=x^3-1731675x-874984250\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0.z.1, 104.12.0.?, $\ldots$ |
$[(-741, 1148)]$ |
| 23400.v2 |
23400bf3 |
23400.v |
23400bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.876473787$ |
$1$ |
|
$3$ |
$294912$ |
$2.365540$ |
$39914580075556/172718325$ |
$0.96849$ |
$5.41699$ |
$[0, 0, 0, -1614675, 786766750]$ |
\(y^2=x^3-1614675x+786766750\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(1995, 74200)]$ |
| 23400.v3 |
23400bf2 |
23400.v |
23400bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{10} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$2.438236893$ |
$1$ |
|
$9$ |
$147456$ |
$2.018967$ |
$133649126224/77000625$ |
$1.02472$ |
$4.71269$ |
$[0, 0, 0, -152175, -1520750]$ |
\(y^2=x^3-152175x-1520750\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.1, $\ldots$ |
$[(-91, 3402)]$ |
| 23400.v4 |
23400bf1 |
23400.v |
23400bf |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{8} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$4.876473787$ |
$1$ |
|
$3$ |
$73728$ |
$1.672394$ |
$33165879296/19278675$ |
$1.18904$ |
$4.29857$ |
$[0, 0, 0, 37950, -189875]$ |
\(y^2=x^3+37950x-189875\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.2, $\ldots$ |
$[(446, 10269)]$ |
| 23400.w1 |
23400be4 |
23400.w |
23400be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.661794221$ |
$1$ |
|
$5$ |
$65536$ |
$1.557150$ |
$62275269892/39$ |
$1.05219$ |
$4.77458$ |
$[0, 0, 0, -187275, 31193750]$ |
\(y^2=x^3-187275x+31193750\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 24.12.0.z.1, 104.12.0.?, $\ldots$ |
$[(259, 252)]$ |
| 23400.w2 |
23400be2 |
23400.w |
23400be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$780$ |
$48$ |
$0$ |
$0.830897110$ |
$1$ |
|
$15$ |
$32768$ |
$1.210577$ |
$61918288/1521$ |
$0.98715$ |
$3.94959$ |
$[0, 0, 0, -11775, 481250]$ |
\(y^2=x^3-11775x+481250\) |
2.6.0.a.1, 12.12.0.b.1, 20.12.0-2.a.1.1, 52.12.0.b.1, 60.24.0-12.b.1.2, $\ldots$ |
$[(5, 650)]$ |
| 23400.w3 |
23400be1 |
23400.w |
23400be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.661794221$ |
$1$ |
|
$7$ |
$16384$ |
$0.864003$ |
$2725888/1053$ |
$0.92420$ |
$3.36357$ |
$[0, 0, 0, -1650, -14875]$ |
\(y^2=x^3-1650x-14875\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0.z.1, 26.6.0.b.1, 40.12.0-4.c.1.5, $\ldots$ |
$[(46, 81)]$ |
| 23400.w4 |
23400be3 |
23400.w |
23400be |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5^{2} \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{6} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.661794221$ |
$1$ |
|
$5$ |
$65536$ |
$1.557150$ |
$48668/85683$ |
$1.07537$ |
$4.17401$ |
$[0, 0, 0, 1725, 1520750]$ |
\(y^2=x^3+1725x+1520750\) |
2.3.0.a.1, 4.6.0.c.1, 6.6.0.a.1, 12.12.0.g.1, 20.12.0-4.c.1.1, $\ldots$ |
$[(59, 1352)]$ |
