| 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 |
| 486720.a1 |
486720a1 |
486720.a |
486720a |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{23} \cdot 3^{10} \cdot 5 \cdot 13^{8} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$134184960$ |
$3.489605$ |
$-79370312059129/12960$ |
$1.18524$ |
$5.46702$ |
$[0, 0, 0, -481854828, 4071200554928]$ |
\(y^2=x^3-481854828x+4071200554928\) |
40.2.0.a.1 |
$[]$ |
| 486720.b1 |
486720b1 |
486720.b |
486720b |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$6$ |
$2$ |
$0$ |
$0.963768792$ |
$1$ |
|
$2$ |
$4792320$ |
$1.919655$ |
$-18264064/675$ |
$0.88749$ |
$3.66941$ |
$[0, 0, 0, -184548, 31474222]$ |
\(y^2=x^3-184548x+31474222\) |
6.2.0.a.1 |
$[(-169, 7605)]$ |
| 486720.c1 |
486720c1 |
486720.c |
486720c |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{15} \cdot 3^{6} \cdot 5^{5} \cdot 13^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$40$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1658880$ |
$1.323261$ |
$-244674248/3125$ |
$0.88568$ |
$3.16568$ |
$[0, 0, 0, -20748, -1162928]$ |
\(y^2=x^3-20748x-1162928\) |
40.2.0.a.1 |
$[]$ |
| 486720.d1 |
486720d1 |
486720.d |
486720d |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5 \cdot 13^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$9.982613458$ |
$1$ |
|
$0$ |
$10321920$ |
$2.234104$ |
$-17790954496/195$ |
$0.91521$ |
$4.22188$ |
$[0, 0, 0, -2101008, -1172178592]$ |
\(y^2=x^3-2101008x-1172178592\) |
390.2.0.? |
$[(1080001/25, 295254999/25)]$ |
| 486720.e1 |
486720e1 |
486720.e |
486720e |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{13} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$11.74102454$ |
$1$ |
|
$0$ |
$33546240$ |
$2.762142$ |
$-22478848/10935$ |
$1.00451$ |
$4.34643$ |
$[0, 0, 0, -2952768, -2649546848]$ |
\(y^2=x^3-2952768x-2649546848\) |
390.2.0.? |
$[(113023313/86, 1193508660825/86)]$ |
| 486720.f1 |
486720f1 |
486720.f |
486720f |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.2.0.1 |
2Cn |
$312$ |
$12$ |
$0$ |
$4.452696526$ |
$1$ |
|
$2$ |
$7188480$ |
$2.064098$ |
$1141504/625$ |
$0.86277$ |
$3.66468$ |
$[0, 0, 0, -184548, 7083128]$ |
\(y^2=x^3-184548x+7083128\) |
2.2.0.a.1, 24.4.0-2.a.1.1, 26.6.0.a.1, 312.12.0.? |
$[(29, 1325)]$ |
| 486720.g1 |
486720g3 |
486720.g |
486720g |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{30} \cdot 3^{6} \cdot 5 \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$8.949195069$ |
$1$ |
|
$1$ |
$55738368$ |
$3.101952$ |
$988345570681/44994560$ |
$0.95432$ |
$4.74038$ |
$[0, 0, 0, -20200908, -33543831152]$ |
\(y^2=x^3-20200908x-33543831152\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(2752412/23, 571360608/23)]$ |
| 486720.g2 |
486720g1 |
486720.g |
486720g |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{22} \cdot 3^{6} \cdot 5^{3} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.3, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$2.983065023$ |
$1$ |
|
$3$ |
$18579456$ |
$2.552647$ |
$3803721481/26000$ |
$0.90619$ |
$4.31580$ |
$[0, 0, 0, -3165708, 2155133968]$ |
\(y^2=x^3-3165708x+2155133968\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.b.1, 6.12.0.a.1, 12.24.0.f.1, $\ldots$ |
$[(3068, 146016)]$ |
| 486720.g3 |
486720g2 |
486720.g |
486720g |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3^{6} \cdot 5^{6} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$5.966130046$ |
$1$ |
|
$1$ |
$37158912$ |
$2.899220$ |
$-217081801/10562500$ |
$0.97746$ |
$4.43646$ |
$[0, 0, 0, -1218828, 4777191952]$ |
\(y^2=x^3-1218828x+4777191952\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.1, $\ldots$ |
$[(25948/3, 4288544/3)]$ |
| 486720.g4 |
486720g4 |
486720.g |
486720g |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{6} \cdot 5^{2} \cdot 13^{12} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.5, 3.4.0.1 |
2B, 3B |
$1560$ |
$384$ |
$9$ |
$17.89839013$ |
$1$ |
|
$1$ |
$111476736$ |
$3.448524$ |
$157376536199/7722894400$ |
$1.01877$ |
$4.93823$ |
$[0, 0, 0, 10949172, -127654452848]$ |
\(y^2=x^3+10949172x-127654452848\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.a.1, 6.12.0.a.1, 12.48.0.b.2, $\ldots$ |
$[(5163342041/56, 371019908532195/56)]$ |
| 486720.h1 |
486720h1 |
486720.h |
486720h |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{19} \cdot 3^{3} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$120$ |
$2$ |
$0$ |
$2.652056084$ |
$1$ |
|
$2$ |
$5271552$ |
$1.902927$ |
$9477/10$ |
$0.73431$ |
$3.47057$ |
$[0, 0, 0, 79092, -7768592]$ |
\(y^2=x^3+79092x-7768592\) |
120.2.0.? |
$[(1352, 50700)]$ |
| 486720.i1 |
486720i4 |
486720.i |
486720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{7} \cdot 5 \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$33030144$ |
$2.858734$ |
$31103978031362/195$ |
$0.97111$ |
$4.95082$ |
$[0, 0, 0, -50620908, -138625462352]$ |
\(y^2=x^3-50620908x-138625462352\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 40.24.0-40.bb.1.11, 312.24.0.?, $\ldots$ |
$[]$ |
| 486720.i2 |
486720i3 |
486720.i |
486720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{10} \cdot 5 \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.12 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$2.858734$ |
$20183398562/11567205$ |
$1.00841$ |
$4.39031$ |
$[0, 0, 0, -4382508, -347336912]$ |
\(y^2=x^3-4382508x-347336912\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 40.24.0-40.v.1.5, 312.24.0.?, $\ldots$ |
$[]$ |
| 486720.i3 |
486720i2 |
486720.i |
486720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{8} \cdot 5^{2} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$16515072$ |
$2.512161$ |
$15214885924/38025$ |
$0.90605$ |
$4.31580$ |
$[0, 0, 0, -3165708, -2163289232]$ |
\(y^2=x^3-3165708x-2163289232\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 20.12.0-2.a.1.2, 40.24.0-40.a.1.5, 156.12.0.?, $\ldots$ |
$[]$ |
| 486720.i4 |
486720i1 |
486720.i |
486720i |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{14} \cdot 3^{7} \cdot 5^{4} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$8257536$ |
$2.165585$ |
$-3631696/24375$ |
$0.84900$ |
$3.76651$ |
$[0, 0, 0, -123708, -59442032]$ |
\(y^2=x^3-123708x-59442032\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 40.24.0-40.bb.1.3, 78.6.0.?, $\ldots$ |
$[]$ |
| 486720.j1 |
486720j2 |
486720.j |
486720j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12460032$ |
$2.359428$ |
$405224/25$ |
$0.79334$ |
$4.04611$ |
$[0, 0, 0, -975468, 350500592]$ |
\(y^2=x^3-975468x+350500592\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 260.6.0.?, 520.12.0.? |
$[]$ |
| 486720.j2 |
486720j1 |
486720.j |
486720j |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5 \cdot 13^{9} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$520$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6230016$ |
$2.012856$ |
$21952/5$ |
$0.73783$ |
$3.66468$ |
$[0, 0, 0, -184548, -23762752]$ |
\(y^2=x^3-184548x-23762752\) |
2.3.0.a.1, 40.6.0.f.1, 104.6.0.?, 130.6.0.?, 520.12.0.? |
$[]$ |
| 486720.k1 |
486720k4 |
486720.k |
486720k |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{2} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$6.553926420$ |
$1$ |
|
$3$ |
$22020096$ |
$2.675022$ |
$9001508089608/325$ |
$0.99017$ |
$4.75028$ |
$[0, 0, 0, -21093228, -37287448848]$ |
\(y^2=x^3-21093228x-37287448848\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 24.24.0-8.o.1.1, $\ldots$ |
$[(52104, 11845548)]$ |
| 486720.k2 |
486720k3 |
486720.k |
486720k |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{6} \cdot 5^{8} \cdot 13^{7} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$1.638481605$ |
$1$ |
|
$5$ |
$22020096$ |
$2.675022$ |
$9024895368/5078125$ |
$1.17370$ |
$4.22298$ |
$[0, 0, 0, -2111148, 196464528]$ |
\(y^2=x^3-2111148x+196464528\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 24.24.0-8.o.1.3, $\ldots$ |
$[(-702, 36504)]$ |
| 486720.k3 |
486720k2 |
486720.k |
486720k |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{6} \cdot 5^{4} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$3120$ |
$192$ |
$3$ |
$3.276963210$ |
$1$ |
|
$9$ |
$11010048$ |
$2.328449$ |
$17657244864/105625$ |
$1.13826$ |
$4.11544$ |
$[0, 0, 0, -1320228, -580851648]$ |
\(y^2=x^3-1320228x-580851648\) |
2.6.0.a.1, 4.12.0.a.1, 12.24.0-4.a.1.2, 40.24.0.j.1, 104.24.0.?, $\ldots$ |
$[(-699, 675)]$ |
| 486720.k4 |
486720k1 |
486720.k |
486720k |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{6} \cdot 5^{2} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$3120$ |
$192$ |
$3$ |
$6.553926420$ |
$1$ |
|
$1$ |
$5505024$ |
$1.981874$ |
$-21024576/714025$ |
$1.05309$ |
$3.59595$ |
$[0, 0, 0, -34983, -19456632]$ |
\(y^2=x^3-34983x-19456632\) |
2.3.0.a.1, 4.12.0.d.1, 24.24.0-4.d.1.3, 40.24.0.z.1, 104.24.0.?, $\ldots$ |
$[(1329/2, 18927/2)]$ |
| 486720.l1 |
486720l1 |
486720.l |
486720l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{3} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$312$ |
$48$ |
$1$ |
$21.96438804$ |
$1$ |
|
$1$ |
$10223616$ |
$2.401672$ |
$998800479936/625$ |
$1.18222$ |
$4.44193$ |
$[0, 0, 0, -5490303, -4951563448]$ |
\(y^2=x^3-5490303x-4951563448\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 24.24.0.ez.1, 104.24.0.?, $\ldots$ |
$[(3369444961/258, 195372514008199/258)]$ |
| 486720.l2 |
486720l2 |
486720.l |
486720l |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{3} \cdot 5^{8} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.30 |
2B |
$312$ |
$48$ |
$1$ |
$10.98219402$ |
$1$ |
|
$3$ |
$20447232$ |
$2.748245$ |
$-15326915904/390625$ |
$1.10985$ |
$4.44384$ |
$[0, 0, 0, -5457348, -5013940672]$ |
\(y^2=x^3-5457348x-5013940672\) |
2.3.0.a.1, 4.6.0.e.1, 8.12.0.y.1, 24.24.0.eo.1, 78.6.0.?, $\ldots$ |
$[(202396, 91048716)]$ |
| 486720.m1 |
486720m2 |
486720.m |
486720m |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{12} \cdot 5 \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.731979685$ |
$1$ |
|
$13$ |
$2064384$ |
$1.457409$ |
$18821096/3645$ |
$0.87820$ |
$3.16402$ |
$[0, 0, 0, -20748, 938288]$ |
\(y^2=x^3-20748x+938288\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(133, 729), (13, 819)]$ |
| 486720.m2 |
486720m1 |
486720.m |
486720m |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{12} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.432994921$ |
$1$ |
|
$21$ |
$1032192$ |
$1.110836$ |
$314432/675$ |
$1.11492$ |
$2.76887$ |
$[0, 0, 0, 2652, 86528]$ |
\(y^2=x^3+2652x+86528\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(13, 351), (-14, 216)]$ |
| 486720.n1 |
486720n2 |
486720.n |
486720n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{17} \cdot 3^{16} \cdot 5^{3} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$9.552353126$ |
$1$ |
|
$3$ |
$191692800$ |
$3.695026$ |
$7824392006186/7381125$ |
$1.00519$ |
$5.43303$ |
$[0, 0, 0, -415417548, 3256275254128]$ |
\(y^2=x^3-415417548x+3256275254128\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(31656, 4672084)]$ |
| 486720.n2 |
486720n1 |
486720.n |
486720n |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{11} \cdot 5^{6} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.776176563$ |
$1$ |
|
$5$ |
$95846400$ |
$3.348454$ |
$-1735192372/3796875$ |
$0.97338$ |
$4.85708$ |
$[0, 0, 0, -19957548, 75036830128]$ |
\(y^2=x^3-19957548x+75036830128\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(-3496, 319500)]$ |
| 486720.o1 |
486720o2 |
486720.o |
486720o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{12} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$3.595240489$ |
$1$ |
|
$5$ |
$26836992$ |
$2.710167$ |
$131096512/18225$ |
$0.91035$ |
$4.32864$ |
$[0, 0, 0, -3348228, 2055478048]$ |
\(y^2=x^3-3348228x+2055478048\) |
2.3.0.a.1, 12.6.0.g.1, 26.6.0.b.1, 156.12.0.? |
$[(2324, 82620)]$ |
| 486720.o2 |
486720o1 |
486720.o |
486720o |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{6} \cdot 3^{9} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$7.190480979$ |
$1$ |
|
$1$ |
$13418496$ |
$2.363594$ |
$150568768/16875$ |
$0.91075$ |
$4.02163$ |
$[0, 0, 0, -876603, -283667852]$ |
\(y^2=x^3-876603x-283667852\) |
2.3.0.a.1, 12.6.0.g.1, 52.6.0.c.1, 156.12.0.? |
$[(4521/2, 104125/2)]$ |
| 486720.p1 |
486720p4 |
486720.p |
486720p |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{19} \cdot 3^{9} \cdot 5^{3} \cdot 13^{8} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$12.88033933$ |
$1$ |
|
$11$ |
$111476736$ |
$3.436005$ |
$261984288445803/42250$ |
$1.00391$ |
$5.41816$ |
$[0, 0, 0, -389296908, 2956442825232]$ |
\(y^2=x^3-389296908x+2956442825232\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.7, 60.24.0-6.a.1.7, $\ldots$ |
$[(11362, 5408), (5021458/21, 6029920/21)]$ |
| 486720.p2 |
486720p3 |
486720.p |
486720p |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{20} \cdot 3^{9} \cdot 5^{6} \cdot 13^{7} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$12.88033933$ |
$1$ |
|
$13$ |
$55738368$ |
$3.089428$ |
$-63378025803/812500$ |
$0.94486$ |
$4.78397$ |
$[0, 0, 0, -24256908, 46489961232]$ |
\(y^2=x^3-24256908x+46489961232\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.12, 60.24.0-6.a.1.7, $\ldots$ |
$[(1056, 148500), (10306, 944000)]$ |
| 486720.p3 |
486720p2 |
486720.p |
486720p |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{21} \cdot 3^{3} \cdot 5 \cdot 13^{12} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$12.88033933$ |
$1$ |
|
$11$ |
$37158912$ |
$2.886696$ |
$520300455507/193072360$ |
$0.98306$ |
$4.43970$ |
$[0, 0, 0, -5437068, 2922853648]$ |
\(y^2=x^3-5437068x+2922853648\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.15, 60.24.0-6.a.1.11, $\ldots$ |
$[(546, 10816), (-16718/3, 2195648/3)]$ |
| 486720.p4 |
486720p1 |
486720.p |
486720p |
$4$ |
$6$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{24} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
2.3.0.1, 3.4.0.1 |
2B, 3B |
$1560$ |
$96$ |
$1$ |
$12.88033933$ |
$1$ |
|
$13$ |
$18579456$ |
$2.540123$ |
$3774555693/3515200$ |
$0.94972$ |
$4.06353$ |
$[0, 0, 0, 1052532, 324417808]$ |
\(y^2=x^3+1052532x+324417808\) |
2.3.0.a.1, 3.4.0.a.1, 6.12.0.a.1, 24.24.0-6.a.1.4, 60.24.0-6.a.1.11, $\ldots$ |
$[(482, 30720), (221, 23829)]$ |
| 486720.q1 |
486720q2 |
486720.q |
486720q |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{3} \cdot 5^{4} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$13.37923590$ |
$1$ |
|
$1$ |
$15335424$ |
$2.532845$ |
$12326391/625$ |
$0.90504$ |
$4.21401$ |
$[0, 0, 0, -2030028, -1063383152]$ |
\(y^2=x^3-2030028x-1063383152\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.cb.1, 104.12.0.?, $\ldots$ |
$[(2546709/29, 3496879775/29)]$ |
| 486720.q2 |
486720q1 |
486720.q |
486720q |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{3} \cdot 5^{2} \cdot 13^{9} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$6.689617950$ |
$1$ |
|
$3$ |
$7667712$ |
$2.186272$ |
$729/25$ |
$0.88208$ |
$3.78098$ |
$[0, 0, 0, 79092, -65347568]$ |
\(y^2=x^3+79092x-65347568\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bq.1, 40.12.0.cb.1, 60.12.0.bn.1, $\ldots$ |
$[(2861, 153555)]$ |
| 486720.r1 |
486720r3 |
486720.r |
486720r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{16} \cdot 3^{10} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$132120576$ |
$3.770454$ |
$19129597231400697604/26325$ |
$1.02876$ |
$5.91576$ |
$[0, 0, 0, -3416776428, 76872845487152]$ |
\(y^2=x^3-3416776428x+76872845487152\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 24.24.0-8.o.1.2, $\ldots$ |
$[]$ |
| 486720.r2 |
486720r2 |
486720.r |
486720r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{14} \cdot 3^{14} \cdot 5^{4} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$66060288$ |
$3.423882$ |
$18681746265374416/693005625$ |
$1.11967$ |
$5.28060$ |
$[0, 0, 0, -213550428, 1201115753552]$ |
\(y^2=x^3-213550428x+1201115753552\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 24.48.0-8.g.1.3, 52.24.0.b.1, $\ldots$ |
$[]$ |
| 486720.r3 |
486720r4 |
486720.r |
486720r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 5^{8} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$132120576$ |
$3.770454$ |
$-4053153720264484/903687890625$ |
$0.99872$ |
$5.29466$ |
$[0, 0, 0, -203694348, 1316995657328]$ |
\(y^2=x^3-203694348x+1316995657328\) |
2.3.0.a.1, 4.24.0.c.1, 24.48.0-4.c.1.3, 104.48.1.?, 312.96.1.?, $\ldots$ |
$[]$ |
| 486720.r4 |
486720r1 |
486720.r |
486720r |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{10} \cdot 3^{22} \cdot 5^{2} \cdot 13^{7} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$33030144$ |
$3.077309$ |
$83587439220736/13990184325$ |
$1.00034$ |
$4.65580$ |
$[0, 0, 0, -13964808, 16934352968]$ |
\(y^2=x^3-13964808x+16934352968\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 16.24.0.i.1, 24.24.0-8.o.1.4, $\ldots$ |
$[]$ |
| 486720.s1 |
486720s3 |
486720.s |
486720s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{22} \cdot 5^{3} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$7.464962059$ |
$1$ |
|
$1$ |
$264241152$ |
$3.962147$ |
$2543984126301795848/909361981125$ |
$1.08476$ |
$5.70877$ |
$[0, 0, 0, -1384233708, 19816551254032]$ |
\(y^2=x^3-1384233708x+19816551254032\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 40.24.0.by.1, 48.24.0-8.o.1.2, $\ldots$ |
$[(-135902/3, 164845304/3)]$ |
| 486720.s2 |
486720s4 |
486720.s |
486720s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{10} \cdot 5^{3} \cdot 13^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$29.85984823$ |
$1$ |
|
$1$ |
$264241152$ |
$3.962147$ |
$350584567631475848/8259273550125$ |
$1.01165$ |
$5.55743$ |
$[0, 0, 0, -714993708, -7207366029968]$ |
\(y^2=x^3-714993708x-7207366029968\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 40.24.0.by.1, 48.24.0-8.o.1.2, $\ldots$ |
$[(38196365075144/33781, 97222485252771576972/33781)]$ |
| 486720.s3 |
486720s2 |
486720.s |
486720s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{14} \cdot 5^{6} \cdot 13^{10} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$3120$ |
$192$ |
$3$ |
$14.92992411$ |
$1$ |
|
$3$ |
$132120576$ |
$3.615574$ |
$7442744143086784/2927948765625$ |
$1.04475$ |
$5.10446$ |
$[0, 0, 0, -98988708, 214508612032]$ |
\(y^2=x^3-98988708x+214508612032\) |
2.6.0.a.1, 4.12.0.a.1, 24.24.0-4.a.1.3, 40.24.0.a.1, 80.48.0.?, $\ldots$ |
$[(183523484/83, 2321464711500/83)]$ |
| 486720.s4 |
486720s1 |
486720.s |
486720s |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{10} \cdot 5^{12} \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$3120$ |
$192$ |
$3$ |
$29.85984823$ |
$1$ |
|
$1$ |
$66060288$ |
$3.268997$ |
$3834800837445824/3342041015625$ |
$1.15411$ |
$4.73624$ |
$[0, 0, 0, 19839417, 24193487032]$ |
\(y^2=x^3+19839417x+24193487032\) |
2.3.0.a.1, 4.12.0.d.1, 12.24.0-4.d.1.2, 40.24.0.bf.1, 80.48.0.?, $\ldots$ |
$[(43327108466668/137973, 748159693555811091074/137973)]$ |
| 486720.t1 |
486720t2 |
486720.t |
486720t |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{18} \cdot 3^{9} \cdot 5^{4} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3538944$ |
$1.799677$ |
$12326391/625$ |
$0.90504$ |
$3.54217$ |
$[0, 0, 0, -108108, -13068432]$ |
\(y^2=x^3-108108x-13068432\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bt.1, 40.12.0.cb.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 486720.t2 |
486720t1 |
486720.t |
486720t |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{18} \cdot 3^{9} \cdot 5^{2} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.4 |
2B |
$1560$ |
$48$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$1769472$ |
$1.453104$ |
$729/25$ |
$0.88208$ |
$3.10914$ |
$[0, 0, 0, 4212, -803088]$ |
\(y^2=x^3+4212x-803088\) |
2.3.0.a.1, 4.6.0.e.1, 24.12.0.bq.1, 40.12.0.cb.1, 60.12.0.bn.1, $\ldots$ |
$[]$ |
| 486720.u1 |
486720u3 |
486720.u |
486720u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{8} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$0.980168219$ |
$1$ |
|
$9$ |
$9437184$ |
$2.270676$ |
$23937672968/45$ |
$1.01090$ |
$4.29747$ |
$[0, 0, 0, -2922348, 1922849552]$ |
\(y^2=x^3-2922348x+1922849552\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 40.24.0.by.1, 48.24.0.j.1, $\ldots$ |
$[(962, 1352)]$ |
| 486720.u2 |
486720u4 |
486720.u |
486720u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{14} \cdot 5 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$3120$ |
$192$ |
$3$ |
$3.920672877$ |
$1$ |
|
$5$ |
$9437184$ |
$2.270676$ |
$111980168/32805$ |
$0.98174$ |
$3.88780$ |
$[0, 0, 0, -488748, -92414608]$ |
\(y^2=x^3-488748x-92414608\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 40.24.0.by.1, 48.24.0.j.1, $\ldots$ |
$[(-403, 6253)]$ |
| 486720.u3 |
486720u2 |
486720.u |
486720u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{12} \cdot 3^{10} \cdot 5^{2} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$3120$ |
$192$ |
$3$ |
$1.960336438$ |
$1$ |
|
$11$ |
$4718592$ |
$1.924101$ |
$48228544/2025$ |
$1.02099$ |
$3.66468$ |
$[0, 0, 0, -184548, 29387072]$ |
\(y^2=x^3-184548x+29387072\) |
2.6.0.a.1, 4.12.0.a.1, 24.24.0.j.1, 40.24.0.a.1, 80.48.0.?, $\ldots$ |
$[(182, 1352)]$ |
| 486720.u4 |
486720u1 |
486720.u |
486720u |
$4$ |
$4$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( - 2^{6} \cdot 3^{8} \cdot 5^{4} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$3120$ |
$192$ |
$3$ |
$3.920672877$ |
$1$ |
|
$3$ |
$2359296$ |
$1.577526$ |
$85184/5625$ |
$1.15009$ |
$3.22411$ |
$[0, 0, 0, 5577, 1704872]$ |
\(y^2=x^3+5577x+1704872\) |
2.3.0.a.1, 4.12.0.d.1, 24.24.0.z.1, 40.24.0.bf.1, 52.24.0-4.d.1.2, $\ldots$ |
$[(572, 13858)]$ |
| 486720.v1 |
486720v2 |
486720.v |
486720v |
$2$ |
$2$ |
\( 2^{6} \cdot 3^{2} \cdot 5 \cdot 13^{2} \) |
\( 2^{15} \cdot 3^{9} \cdot 5 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.431472511$ |
$1$ |
|
$5$ |
$8257536$ |
$2.307388$ |
$25412184/845$ |
$1.01323$ |
$4.02622$ |
$[0, 0, 0, -894348, 316051632]$ |
\(y^2=x^3-894348x+316051632\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(637, 2197)]$ |
