| 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 |
| 51480.a1 |
51480a2 |
51480.a |
51480a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$5.992890845$ |
$1$ |
|
$3$ |
$147456$ |
$1.229996$ |
$172531059372/9295$ |
$0.85021$ |
$3.93520$ |
$[0, 0, 0, -31563, -2158218]$ |
\(y^2=x^3-31563x-2158218\) |
2.3.0.a.1, 156.6.0.?, 330.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[(298, 3860)]$ |
| 51480.a2 |
51480a1 |
51480.a |
51480a |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$2.996445422$ |
$1$ |
|
$5$ |
$73728$ |
$0.883422$ |
$-141915888/39325$ |
$0.72555$ |
$3.18876$ |
$[0, 0, 0, -1863, -37638]$ |
\(y^2=x^3-1863x-37638\) |
2.3.0.a.1, 78.6.0.?, 660.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[(78, 540)]$ |
| 51480.b1 |
51480e1 |
51480.b |
51480e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5 \cdot 11^{7} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9676800$ |
$3.388626$ |
$236807903430715307255728128/16466659495$ |
$1.05482$ |
$6.76465$ |
$[0, 0, 0, -876922578, 9995165544393]$ |
\(y^2=x^3-876922578x+9995165544393\) |
2.3.0.a.1, 156.6.0.?, 330.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[]$ |
| 51480.b2 |
51480e2 |
51480.b |
51480e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{14} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$19353600$ |
$3.735199$ |
$-14800405103160199993360368/123418695914553325$ |
$1.02738$ |
$6.76466$ |
$[0, 0, 0, -876920823, 9995207551722]$ |
\(y^2=x^3-876920823x+9995207551722\) |
2.3.0.a.1, 78.6.0.?, 660.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[]$ |
| 51480.c1 |
51480bk2 |
51480.c |
51480bk |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$5.154709969$ |
$1$ |
|
$3$ |
$180224$ |
$1.621887$ |
$927405593024402/920205$ |
$0.92506$ |
$4.48704$ |
$[0, 0, 0, -232203, -43067482]$ |
\(y^2=x^3-232203x-43067482\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(622, 7290)]$ |
| 51480.c2 |
51480bk1 |
51480.c |
51480bk |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 11^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.577354984$ |
$1$ |
|
$5$ |
$90112$ |
$1.275312$ |
$-442644537604/14274975$ |
$0.86145$ |
$3.72326$ |
$[0, 0, 0, -14403, -683602]$ |
\(y^2=x^3-14403x-683602\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(259, 3600)]$ |
| 51480.d1 |
51480bp2 |
51480.d |
51480bp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$2.063527104$ |
$1$ |
|
$15$ |
$65536$ |
$1.024605$ |
$168722134564/83655$ |
$0.99155$ |
$3.62935$ |
$[0, 0, 0, -10443, 410582]$ |
\(y^2=x^3-10443x+410582\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(19, 468), (-98, 702)]$ |
| 51480.d2 |
51480bp1 |
51480.d |
51480bp |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$0.515881776$ |
$1$ |
|
$29$ |
$32768$ |
$0.678031$ |
$-94875856/117975$ |
$0.76332$ |
$2.91751$ |
$[0, 0, 0, -543, 8642]$ |
\(y^2=x^3-543x+8642\) |
2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(1, 90), (19, 72)]$ |
| 51480.e1 |
51480bc2 |
51480.e |
51480bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{3} \cdot 5^{4} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$3.098124426$ |
$1$ |
|
$3$ |
$45056$ |
$0.768746$ |
$2540477574/1161875$ |
$1.02931$ |
$3.00269$ |
$[0, 0, 0, -1083, -6282]$ |
\(y^2=x^3-1083x-6282\) |
2.3.0.a.1, 156.6.0.?, 264.6.0.?, 1144.6.0.?, 3432.12.0.? |
$[(94, 850)]$ |
| 51480.e2 |
51480bc1 |
51480.e |
51480bc |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1.549062213$ |
$1$ |
|
$5$ |
$22528$ |
$0.422173$ |
$53248212/39325$ |
$0.81183$ |
$2.58253$ |
$[0, 0, 0, 237, -738]$ |
\(y^2=x^3+237x-738\) |
2.3.0.a.1, 78.6.0.?, 264.6.0.?, 1144.6.0.?, 3432.12.0.? |
$[(6, 30)]$ |
| 51480.f1 |
51480bb2 |
51480.f |
51480bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1.099894672$ |
$1$ |
|
$7$ |
$393216$ |
$2.036880$ |
$29019408786852012/511225$ |
$0.95056$ |
$5.04433$ |
$[0, 0, 0, -1742283, 885168918]$ |
\(y^2=x^3-1742283x+885168918\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[(763, 44)]$ |
| 51480.f2 |
51480bb1 |
51480.f |
51480bb |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 11^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$0.549947336$ |
$1$ |
|
$9$ |
$196608$ |
$1.690306$ |
$-28253714280048/118958125$ |
$0.88898$ |
$4.27804$ |
$[0, 0, 0, -108783, 13860018]$ |
\(y^2=x^3-108783x+13860018\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[(213, 594)]$ |
| 51480.g1 |
51480k1 |
51480.g |
51480k |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5^{3} \cdot 11^{7} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1430$ |
$2$ |
$0$ |
$0.207991466$ |
$1$ |
|
$8$ |
$258048$ |
$1.734177$ |
$-75271580947456/31666652875$ |
$0.91791$ |
$4.11426$ |
$[0, 0, 0, -50268, 5700692]$ |
\(y^2=x^3-50268x+5700692\) |
1430.2.0.? |
$[(214, 2178)]$ |
| 51480.h1 |
51480i4 |
51480.h |
51480i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{4} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$131072$ |
$1.392319$ |
$83015194102564/268125$ |
$0.90408$ |
$4.20070$ |
$[0, 0, 0, -82443, -9111242]$ |
\(y^2=x^3-82443x-9111242\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 120.12.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 51480.h2 |
51480i3 |
51480.h |
51480i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5 \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$131072$ |
$1.392319$ |
$512401135684/127239255$ |
$1.10296$ |
$3.73175$ |
$[0, 0, 0, -15123, 540862]$ |
\(y^2=x^3-15123x+540862\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 104.12.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 51480.h3 |
51480i2 |
51480.h |
51480i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$8580$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$65536$ |
$1.045744$ |
$84433792336/4601025$ |
$0.89460$ |
$3.43776$ |
$[0, 0, 0, -5223, -138278]$ |
\(y^2=x^3-5223x-138278\) |
2.6.0.a.1, 52.12.0-2.a.1.1, 60.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, $\ldots$ |
$[]$ |
| 51480.h4 |
51480i1 |
51480.h |
51480i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{7} \cdot 5 \cdot 11^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$32768$ |
$0.699171$ |
$103737344/2854995$ |
$0.86295$ |
$2.91847$ |
$[0, 0, 0, 222, -8687]$ |
\(y^2=x^3+222x-8687\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.2, 60.12.0-4.c.1.2, 264.12.0.?, $\ldots$ |
$[]$ |
| 51480.i1 |
51480bi4 |
51480.i |
51480bi |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{12} \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.641035412$ |
$1$ |
|
$3$ |
$540672$ |
$2.124882$ |
$9754496351535204/453857421875$ |
$0.96059$ |
$4.64005$ |
$[0, 0, 0, -403803, 94711302]$ |
\(y^2=x^3-403803x+94711302\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.z.1, 44.12.0.h.1, $\ldots$ |
$[(867, 19908)]$ |
| 51480.i2 |
51480bi2 |
51480.i |
51480bi |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5^{6} \cdot 11^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$2.320517706$ |
$1$ |
|
$9$ |
$270336$ |
$1.778309$ |
$196225023615696/53998140625$ |
$1.14124$ |
$4.15221$ |
$[0, 0, 0, -69183, -5072382]$ |
\(y^2=x^3-69183x-5072382\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0.b.1, 44.12.0.a.1, 60.24.0-20.b.1.1, $\ldots$ |
$[(-147, 1386)]$ |
| 51480.i3 |
51480bi1 |
51480.i |
51480bi |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{6} \cdot 5^{3} \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.641035412$ |
$1$ |
|
$3$ |
$135168$ |
$1.431736$ |
$2455113061103616/309291125$ |
$1.03894$ |
$4.12954$ |
$[0, 0, 0, -63738, -6192963]$ |
\(y^2=x^3-63738x-6192963\) |
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, $\ldots$ |
$[(294, 693)]$ |
| 51480.i4 |
51480bi3 |
51480.i |
51480bi |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{3} \cdot 11 \cdot 13^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$4.641035412$ |
$4$ |
$2$ |
$3$ |
$540672$ |
$2.124882$ |
$839990692886076/1121629741375$ |
$1.07879$ |
$4.43873$ |
$[0, 0, 0, 178317, -33138882]$ |
\(y^2=x^3+178317x-33138882\) |
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, $\ldots$ |
$[(603, 17136)]$ |
| 51480.j1 |
51480bo1 |
51480.j |
51480bo |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{38} \cdot 5 \cdot 11 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1430$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5160960$ |
$3.170799$ |
$243082010896493302784/1324909435029066315$ |
$1.01965$ |
$5.64176$ |
$[0, 0, 0, 7430172, -22618363628]$ |
\(y^2=x^3+7430172x-22618363628\) |
1430.2.0.? |
$[]$ |
| 51480.k1 |
51480bn4 |
51480.k |
51480bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 11^{3} \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4423680$ |
$3.156174$ |
$130735118598473711977924/407151596119125$ |
$1.00536$ |
$6.15273$ |
$[0, 0, 0, -95917683, -361572143618]$ |
\(y^2=x^3-95917683x-361572143618\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 24.12.0-4.c.1.3, 88.12.0.?, $\ldots$ |
$[]$ |
| 51480.k2 |
51480bn3 |
51480.k |
51480bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{3} \cdot 11^{12} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4423680$ |
$3.156174$ |
$791626776989285437924/198897898374693375$ |
$0.99383$ |
$5.68200$ |
$[0, 0, 0, -17482683, 21164385382]$ |
\(y^2=x^3-17482683x+21164385382\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 20.12.0-4.c.1.2, 60.24.0-60.h.1.4, $\ldots$ |
$[]$ |
| 51480.k3 |
51480bn2 |
51480.k |
51480bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{6} \cdot 11^{6} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$660$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2211840$ |
$2.809597$ |
$132872256991684831696/7115280992015625$ |
$0.97636$ |
$5.38972$ |
$[0, 0, 0, -6075183, -5490379118]$ |
\(y^2=x^3-6075183x-5490379118\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 20.12.0-2.a.1.1, 44.12.0.b.1, 60.24.0-60.a.1.3, $\ldots$ |
$[]$ |
| 51480.k4 |
51480bn1 |
51480.k |
51480bn |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{4} \cdot 3^{10} \cdot 5^{12} \cdot 11^{3} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1105920$ |
$2.463024$ |
$153440161062692864/4448256591796875$ |
$1.01708$ |
$4.86961$ |
$[0, 0, 0, 252942, -343082243]$ |
\(y^2=x^3+252942x-343082243\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 22.6.0.a.1, 40.12.0-4.c.1.5, $\ldots$ |
$[]$ |
| 51480.l1 |
51480bl2 |
51480.l |
51480bl |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$458752$ |
$2.124260$ |
$1362762798430761362/10456875$ |
$0.96430$ |
$5.15924$ |
$[0, 0, 0, -2639883, 1650916582]$ |
\(y^2=x^3-2639883x+1650916582\) |
2.3.0.a.1, 88.6.0.?, 156.6.0.?, 3432.12.0.? |
$[]$ |
| 51480.l2 |
51480bl1 |
51480.l |
51480bl |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$3432$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$229376$ |
$1.777685$ |
$-664085303622724/1843359375$ |
$0.91853$ |
$4.39281$ |
$[0, 0, 0, -164883, 25831582]$ |
\(y^2=x^3-164883x+25831582\) |
2.3.0.a.1, 78.6.0.?, 88.6.0.?, 3432.12.0.? |
$[]$ |
| 51480.m1 |
51480bm4 |
51480.m |
51480bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{4} \cdot 11 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$294912$ |
$1.755968$ |
$8945265872486162/804375$ |
$0.93859$ |
$4.69596$ |
$[0, 0, 0, -494283, -133755482]$ |
\(y^2=x^3-494283x-133755482\) |
2.3.0.a.1, 4.6.0.c.1, 120.12.0.?, 132.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 51480.m2 |
51480bm3 |
51480.m |
51480bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{14} \cdot 5 \cdot 11^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$1.755968$ |
$11900808771122/6243874065$ |
$0.92818$ |
$4.08555$ |
$[0, 0, 0, -54363, 1490902]$ |
\(y^2=x^3-54363x+1490902\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.1, 264.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 51480.m3 |
51480bm2 |
51480.m |
51480bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 11^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$147456$ |
$1.409393$ |
$4397697224644/41409225$ |
$0.88128$ |
$3.92990$ |
$[0, 0, 0, -30963, -2079938]$ |
\(y^2=x^3-30963x-2079938\) |
2.6.0.a.1, 60.12.0-2.a.1.1, 132.12.0.?, 220.12.0.?, 312.12.0.?, $\ldots$ |
$[]$ |
| 51480.m4 |
51480bm1 |
51480.m |
51480bm |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{8} \cdot 5 \cdot 11 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$17160$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$73728$ |
$1.062820$ |
$-94875856/14137695$ |
$0.95307$ |
$3.32381$ |
$[0, 0, 0, -543, -78302]$ |
\(y^2=x^3-543x-78302\) |
2.3.0.a.1, 4.6.0.c.1, 60.12.0-4.c.1.2, 110.6.0.?, 132.12.0.?, $\ldots$ |
$[]$ |
| 51480.n1 |
51480b1 |
51480.n |
51480b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5^{3} \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$55296$ |
$1.053696$ |
$646801901568/232375$ |
$0.91980$ |
$3.67367$ |
$[0, 0, 0, -12258, -522207]$ |
\(y^2=x^3-12258x-522207\) |
2.3.0.a.1, 156.6.0.?, 330.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[]$ |
| 51480.n2 |
51480b2 |
51480.n |
51480b |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{6} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$110592$ |
$1.400270$ |
$-25429191408/24578125$ |
$0.87509$ |
$3.72147$ |
$[0, 0, 0, -10503, -676998]$ |
\(y^2=x^3-10503x-676998\) |
2.3.0.a.1, 78.6.0.?, 660.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[]$ |
| 51480.o1 |
51480m6 |
51480.o |
51480m |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5^{2} \cdot 11^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$34320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$655360$ |
$2.292831$ |
$117764966889591842/626999726925$ |
$0.95255$ |
$4.93354$ |
$[0, 0, 0, -1167123, 483076622]$ |
\(y^2=x^3-1167123x+483076622\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$ |
$[]$ |
| 51480.o2 |
51480m4 |
51480.o |
51480m |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{4} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$17160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$327680$ |
$1.946257$ |
$220199214811684/125262905625$ |
$0.96777$ |
$4.29062$ |
$[0, 0, 0, -114123, -1935178]$ |
\(y^2=x^3-114123x-1935178\) |
2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.1, 40.24.0-4.b.1.3, 88.24.0.?, $\ldots$ |
$[]$ |
| 51480.o3 |
51480m2 |
51480.o |
51480m |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{2} \cdot 11^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$17160$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$3$ |
$163840$ |
$1.599684$ |
$347519589019216/777573225$ |
$0.90446$ |
$4.20490$ |
$[0, 0, 0, -83703, -9302902]$ |
\(y^2=x^3-83703x-9302902\) |
2.6.0.a.1, 4.12.0.b.1, 12.24.0-4.b.1.3, 40.24.0-4.b.1.2, 88.24.0.?, $\ldots$ |
$[]$ |
| 51480.o4 |
51480m1 |
51480.o |
51480m |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$34320$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$81920$ |
$1.253111$ |
$5551350318708736/27885$ |
$0.94523$ |
$4.20475$ |
$[0, 0, 0, -83658, -9313423]$ |
\(y^2=x^3-83658x-9313423\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$ |
$[]$ |
| 51480.o5 |
51480m3 |
51480.o |
51480m |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5 \cdot 11 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$34320$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$327680$ |
$1.946257$ |
$-23331888216004/134595568965$ |
$0.93342$ |
$4.30447$ |
$[0, 0, 0, -54003, -15997282]$ |
\(y^2=x^3-54003x-15997282\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.2, 24.24.0-8.n.1.12, $\ldots$ |
$[]$ |
| 51480.o6 |
51480m5 |
51480.o |
51480m |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{11} \cdot 3^{14} \cdot 5^{8} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$34320$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$655360$ |
$2.292831$ |
$6847531008289918/4031426953125$ |
$0.99009$ |
$4.67132$ |
$[0, 0, 0, 452157, -15412642]$ |
\(y^2=x^3+452157x-15412642\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 12.12.0-4.c.1.1, 24.24.0-8.n.1.10, $\ldots$ |
$[]$ |
| 51480.p1 |
51480j1 |
51480.p |
51480j |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{11} \cdot 3^{7} \cdot 5^{5} \cdot 11^{5} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$2.069293872$ |
$1$ |
|
$2$ |
$345600$ |
$1.859219$ |
$-26830214120162/19628090625$ |
$0.91409$ |
$4.23581$ |
$[0, 0, 0, -71283, -11022482]$ |
\(y^2=x^3-71283x-11022482\) |
17160.2.0.? |
$[(386, 4356)]$ |
| 51480.q1 |
51480c1 |
51480.q |
51480c |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{11} \cdot 3^{3} \cdot 5^{3} \cdot 11 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$17160$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$19200$ |
$0.414687$ |
$26624106/17875$ |
$0.76748$ |
$2.58253$ |
$[0, 0, 0, 237, -562]$ |
\(y^2=x^3+237x-562\) |
17160.2.0.? |
$[]$ |
| 51480.r1 |
51480bj2 |
51480.r |
51480bj |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{16} \cdot 5 \cdot 11^{5} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$9.667085633$ |
$1$ |
|
$1$ |
$4505600$ |
$3.154621$ |
$547419594877749407409124/8035865921655$ |
$1.00976$ |
$6.28472$ |
$[0, 0, 0, -154599483, 739878085222]$ |
\(y^2=x^3-154599483x+739878085222\) |
2.3.0.a.1, 156.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(362331/7, 10919236/7)]$ |
| 51480.r2 |
51480bj1 |
51480.r |
51480bj |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{2} \cdot 11^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$4.833542816$ |
$1$ |
|
$3$ |
$2252800$ |
$2.808048$ |
$-533116130640227974096/2048408107863975$ |
$0.98105$ |
$5.51839$ |
$[0, 0, 0, -9653583, 11582916082]$ |
\(y^2=x^3-9653583x+11582916082\) |
2.3.0.a.1, 78.6.0.?, 220.6.0.?, 8580.12.0.? |
$[(821, 64890)]$ |
| 51480.s1 |
51480d2 |
51480.s |
51480d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{4} \cdot 11^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$442368$ |
$1.998974$ |
$226970509441932/1546455625$ |
$0.91812$ |
$4.59720$ |
$[0, 0, 0, -345843, -77820642]$ |
\(y^2=x^3-345843x-77820642\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 51480.s2 |
51480d1 |
51480.s |
51480d |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{8} \cdot 11^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$221184$ |
$1.652399$ |
$-12745567728/614453125$ |
$0.90840$ |
$3.97602$ |
$[0, 0, 0, -8343, -2693142]$ |
\(y^2=x^3-8343x-2693142\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 51480.t1 |
51480ba1 |
51480.t |
51480ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{4} \cdot 3^{9} \cdot 5 \cdot 11 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$3.103842130$ |
$1$ |
|
$3$ |
$27648$ |
$0.509731$ |
$18966528/9295$ |
$0.71981$ |
$2.71163$ |
$[0, 0, 0, -378, -1107]$ |
\(y^2=x^3-378x-1107\) |
2.3.0.a.1, 156.6.0.?, 330.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[(22, 35)]$ |
| 51480.t2 |
51480ba2 |
51480.t |
51480ba |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{2} \cdot 11^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$8580$ |
$12$ |
$0$ |
$1.551921065$ |
$1$ |
|
$5$ |
$55296$ |
$0.856304$ |
$57305232/39325$ |
$0.73621$ |
$3.06911$ |
$[0, 0, 0, 1377, -8478]$ |
\(y^2=x^3+1377x-8478\) |
2.3.0.a.1, 78.6.0.?, 660.6.0.?, 2860.6.0.?, 8580.12.0.? |
$[(33, 270)]$ |
| 51480.u1 |
51480bq1 |
51480.u |
51480bq |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( - 2^{8} \cdot 3^{6} \cdot 5 \cdot 11 \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1430$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$81920$ |
$1.098509$ |
$-4116151296/20421115$ |
$0.88437$ |
$3.36751$ |
$[0, 0, 0, -1908, 99252]$ |
\(y^2=x^3-1908x+99252\) |
1430.2.0.? |
$[]$ |
| 51480.v1 |
51480l4 |
51480.v |
51480l |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 11 \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5 \cdot 11^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1320$ |
$48$ |
$0$ |
$1.750335046$ |
$1$ |
|
$3$ |
$589824$ |
$2.048626$ |
$461552841274085284/111344805$ |
$0.95581$ |
$4.99555$ |
$[0, 0, 0, -1460523, 679376662]$ |
\(y^2=x^3-1460523x+679376662\) |
2.3.0.a.1, 4.6.0.c.1, 10.6.0.a.1, 12.12.0-4.c.1.1, 20.12.0.g.1, $\ldots$ |
$[(-193, 30888)]$ |
