| 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 |
| 4680.a1 |
4680h1 |
4680.a |
4680h |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5 \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.203911970$ |
$1$ |
|
$8$ |
$3840$ |
$0.605055$ |
$-17790954496/195$ |
$0.91521$ |
$4.22892$ |
$[0, 0, 0, -3108, 66692]$ |
\(y^2=x^3-3108x+66692\) |
390.2.0.? |
$[(34, 18)]$ |
| 4680.b1 |
4680l1 |
4680.b |
4680l |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{7} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$1.042961630$ |
$1$ |
|
$4$ |
$40320$ |
$1.972736$ |
$74251994112/29007265625$ |
$1.10272$ |
$5.55868$ |
$[0, 0, 0, 15012, -18380412]$ |
\(y^2=x^3+15012x-18380412\) |
390.2.0.? |
$[(456, 9126)]$ |
| 4680.c1 |
4680o1 |
4680.c |
4680o |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{11} \cdot 5^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.988454261$ |
$1$ |
|
$4$ |
$3840$ |
$0.783908$ |
$-504871936/394875$ |
$0.89480$ |
$3.90859$ |
$[0, 0, 0, -948, -17228]$ |
\(y^2=x^3-948x-17228\) |
390.2.0.? |
$[(44, 162)]$ |
| 4680.d1 |
4680p2 |
4680.d |
4680p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{8} \cdot 5 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$3072$ |
$0.725924$ |
$434163602/7605$ |
$0.87463$ |
$4.03562$ |
$[0, 0, 0, -1803, -29018]$ |
\(y^2=x^3-1803x-29018\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[]$ |
| 4680.d2 |
4680p1 |
4680.d |
4680p |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1536$ |
$0.379351$ |
$-4/975$ |
$1.04093$ |
$3.29667$ |
$[0, 0, 0, -3, -1298]$ |
\(y^2=x^3-3x-1298\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[]$ |
| 4680.e1 |
4680e1 |
4680.e |
4680e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{6} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.3 |
2B |
$1560$ |
$48$ |
$0$ |
$1.549528046$ |
$1$ |
|
$5$ |
$768$ |
$0.154970$ |
$3631696/65$ |
$0.75998$ |
$3.22351$ |
$[0, 0, 0, -183, 938]$ |
\(y^2=x^3-183x+938\) |
2.3.0.a.1, 4.6.0.b.1, 24.12.0-4.b.1.1, 130.6.0.?, 260.24.0.?, $\ldots$ |
$[(-2, 36)]$ |
| 4680.e2 |
4680e2 |
4680.e |
4680e |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.5 |
2B |
$1560$ |
$48$ |
$0$ |
$0.774764023$ |
$1$ |
|
$7$ |
$1536$ |
$0.501544$ |
$-4/4225$ |
$1.09431$ |
$3.47018$ |
$[0, 0, 0, -3, 2702]$ |
\(y^2=x^3-3x+2702\) |
2.3.0.a.1, 4.6.0.a.1, 12.12.0-4.a.1.1, 260.12.0.?, 520.24.0.?, $\ldots$ |
$[(-1, 52)]$ |
| 4680.f1 |
4680k2 |
4680.f |
4680k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$3.067081530$ |
$1$ |
|
$3$ |
$4608$ |
$0.915346$ |
$492983766/845$ |
$0.87955$ |
$4.44064$ |
$[0, 0, 0, -5643, 162918]$ |
\(y^2=x^3-5643x+162918\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(46, 26)]$ |
| 4680.f2 |
4680k1 |
4680.f |
4680k |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$1.533540765$ |
$1$ |
|
$5$ |
$2304$ |
$0.568772$ |
$-78732/325$ |
$0.84264$ |
$3.57218$ |
$[0, 0, 0, -243, 4158]$ |
\(y^2=x^3-243x+4158\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(6, 54)]$ |
| 4680.g1 |
4680f3 |
4680.g |
4680f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.53 |
2B |
$624$ |
$192$ |
$1$ |
$13.10789990$ |
$1$ |
|
$1$ |
$122880$ |
$2.466877$ |
$1556580279686303289604/114075$ |
$1.04256$ |
$7.37422$ |
$[0, 0, 0, -21902403, -39453520498]$ |
\(y^2=x^3-21902403x-39453520498\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.24.0-8.n.1.10, 12.24.0-12.h.1.1, 16.48.0-16.f.1.14, $\ldots$ |
$[(1247297/14, 770672617/14)]$ |
| 4680.g2 |
4680f5 |
4680.g |
4680f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{12} \cdot 5^{16} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.173 |
2B |
$624$ |
$192$ |
$1$ |
$26.21579980$ |
$1$ |
|
$1$ |
$245760$ |
$2.813450$ |
$8248670337458940482/1446075439453125$ |
$1.08352$ |
$6.83617$ |
$[0, 0, 0, -4811043, 3391121342]$ |
\(y^2=x^3-4811043x+3391121342\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 12.12.0-4.c.1.1, 16.48.0-16.f.2.9, $\ldots$ |
$[(651576608902/15841, 364442236394750478/15841)]$ |
| 4680.g3 |
4680f4 |
4680.g |
4680f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{8} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.101 |
2Cs |
$312$ |
$192$ |
$1$ |
$13.10789990$ |
$1$ |
|
$3$ |
$122880$ |
$2.466877$ |
$405929061432816484/35083409765625$ |
$1.07074$ |
$6.39779$ |
$[0, 0, 0, -1399323, -587626522]$ |
\(y^2=x^3-1399323x-587626522\) |
2.6.0.a.1, 4.12.0.b.1, 8.48.0-8.d.2.4, 12.24.0-4.b.1.1, 24.96.0-24.t.1.3, $\ldots$ |
$[(-3308921/73, 2516682672/73)]$ |
| 4680.g4 |
4680f2 |
4680.g |
4680f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.16 |
2Cs |
$312$ |
$192$ |
$1$ |
$6.553949950$ |
$1$ |
|
$3$ |
$61440$ |
$2.120304$ |
$1520107298839022416/13013105625$ |
$1.01425$ |
$6.38999$ |
$[0, 0, 0, -1368903, -616458598]$ |
\(y^2=x^3-1368903x-616458598\) |
2.6.0.a.1, 4.24.0-4.b.1.2, 8.48.0-8.d.1.15, 12.48.0-12.c.1.4, 24.96.0-24.g.2.8, $\ldots$ |
$[(21329/2, 3032575/2)]$ |
| 4680.g5 |
4680f1 |
4680.g |
4680f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.168 |
2B |
$624$ |
$192$ |
$1$ |
$3.276974975$ |
$1$ |
|
$7$ |
$30720$ |
$1.773729$ |
$-5551350318708736/550618236675$ |
$1.01951$ |
$5.41652$ |
$[0, 0, 0, -83658, -10080007]$ |
\(y^2=x^3-83658x-10080007\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 8.48.0-8.ba.1.7, 12.24.0-12.g.1.2, $\ldots$ |
$[(389, 4030)]$ |
| 4680.g6 |
4680f6 |
4680.g |
4680f |
$6$ |
$8$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{11} \cdot 3^{30} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.48.0.137 |
2B |
$624$ |
$192$ |
$1$ |
$26.21579980$ |
$1$ |
|
$1$ |
$245760$ |
$2.813450$ |
$263059523447441758/2294739983908125$ |
$1.04969$ |
$6.74138$ |
$[0, 0, 0, 1525677, -2721121522]$ |
\(y^2=x^3+1525677x-2721121522\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0.ba.2, 12.12.0-4.c.1.1, 16.48.0-8.ba.2.4, $\ldots$ |
$[(206262928409/6278, 95381203059654757/6278)]$ |
| 4680.h1 |
4680j2 |
4680.h |
4680j |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{3} \cdot 5^{4} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$1.476490$ |
$216092050322508/3016755625$ |
$1.03524$ |
$5.11582$ |
$[0, 0, 0, -37803, -2794698]$ |
\(y^2=x^3-37803x-2794698\) |
2.3.0.a.1, 12.6.0.a.1, 52.6.0.e.1, 156.12.0.? |
$[]$ |
| 4680.h2 |
4680j1 |
4680.h |
4680j |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{8} \cdot 13^{3} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$156$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$9216$ |
$1.129917$ |
$-445090032/858203125$ |
$1.13399$ |
$4.36234$ |
$[0, 0, 0, -303, -117198]$ |
\(y^2=x^3-303x-117198\) |
2.3.0.a.1, 12.6.0.b.1, 52.6.0.e.1, 78.6.0.?, 156.12.0.? |
$[]$ |
| 4680.i1 |
4680n2 |
4680.i |
4680n |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{16} \cdot 5^{3} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.171408048$ |
$1$ |
|
$3$ |
$15360$ |
$1.635841$ |
$4234737878642/1247410125$ |
$0.96992$ |
$5.12251$ |
$[0, 0, 0, -38523, 2039222]$ |
\(y^2=x^3-38523x+2039222\) |
2.3.0.a.1, 40.6.0.b.1, 156.6.0.?, 1560.12.0.? |
$[(2974, 161838)]$ |
| 4680.i2 |
4680n1 |
4680.i |
4680n |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{11} \cdot 5^{6} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.085704024$ |
$1$ |
|
$5$ |
$7680$ |
$1.289268$ |
$40254822716/49359375$ |
$0.94318$ |
$4.50286$ |
$[0, 0, 0, 6477, 212222]$ |
\(y^2=x^3+6477x+212222\) |
2.3.0.a.1, 40.6.0.c.1, 78.6.0.?, 1560.12.0.? |
$[(-26, 162)]$ |
| 4680.j1 |
4680a1 |
4680.j |
4680a |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5 \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.717281886$ |
$1$ |
|
$4$ |
$1920$ |
$0.322206$ |
$-27648/65$ |
$0.73656$ |
$3.22822$ |
$[0, 0, 0, -108, -972]$ |
\(y^2=x^3-108x-972\) |
390.2.0.? |
$[(18, 54)]$ |
| 4680.k1 |
4680g3 |
4680.k |
4680g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{7} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$6.664396910$ |
$4$ |
$2$ |
$3$ |
$12288$ |
$1.229685$ |
$31103978031362/195$ |
$0.97111$ |
$5.35846$ |
$[0, 0, 0, -74883, -7887202]$ |
\(y^2=x^3-74883x-7887202\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 40.12.0.bb.1, 52.12.0-4.c.1.1, $\ldots$ |
$[(626, 13804)]$ |
| 4680.k2 |
4680g4 |
4680.k |
4680g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{10} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.666099227$ |
$1$ |
|
$3$ |
$12288$ |
$1.229685$ |
$20183398562/11567205$ |
$1.00841$ |
$4.48990$ |
$[0, 0, 0, -6483, -19762]$ |
\(y^2=x^3-6483x-19762\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 40.12.0.v.1, 104.12.0.?, $\ldots$ |
$[(-74, 234)]$ |
| 4680.k3 |
4680g2 |
4680.k |
4680g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{8} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$3.332198455$ |
$1$ |
|
$7$ |
$6144$ |
$0.883111$ |
$15214885924/38025$ |
$0.90605$ |
$4.37445$ |
$[0, 0, 0, -4683, -123082]$ |
\(y^2=x^3-4683x-123082\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 40.12.0.a.1, 52.12.0-2.a.1.1, 120.24.0.?, $\ldots$ |
$[(106, 756)]$ |
| 4680.k4 |
4680g1 |
4680.k |
4680g |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{7} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1.666099227$ |
$1$ |
|
$5$ |
$3072$ |
$0.536538$ |
$-3631696/24375$ |
$0.84900$ |
$3.52330$ |
$[0, 0, 0, -183, -3382]$ |
\(y^2=x^3-183x-3382\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 40.12.0.bb.1, 52.12.0-4.c.1.2, $\ldots$ |
$[(31, 144)]$ |
| 4680.l1 |
4680q3 |
4680.l |
4680q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$2.141407$ |
$19129597231400697604/26325$ |
$1.02876$ |
$6.85369$ |
$[0, 0, 0, -5054403, 4373739502]$ |
\(y^2=x^3-5054403x+4373739502\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.1, 16.24.0.i.1, $\ldots$ |
$[]$ |
| 4680.l2 |
4680q2 |
4680.l |
4680q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{14} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.35 |
2Cs |
$1560$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$3$ |
$24576$ |
$1.794832$ |
$18681746265374416/693005625$ |
$1.11967$ |
$5.86947$ |
$[0, 0, 0, -315903, 68338402]$ |
\(y^2=x^3-315903x+68338402\) |
2.6.0.a.1, 4.12.0.a.1, 8.24.0.g.1, 12.24.0-4.a.1.1, 24.48.0-8.g.1.1, $\ldots$ |
$[]$ |
| 4680.l3 |
4680q4 |
4680.l |
4680q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{10} \cdot 5^{8} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.24.0.2 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$2.141407$ |
$-4053153720264484/903687890625$ |
$0.99872$ |
$5.89126$ |
$[0, 0, 0, -301323, 74931478]$ |
\(y^2=x^3-301323x+74931478\) |
2.3.0.a.1, 4.24.0.c.1, 12.48.0-4.c.1.1, 104.48.1.?, 312.96.1.?, $\ldots$ |
$[]$ |
| 4680.l4 |
4680q1 |
4680.l |
4680q |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{22} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.15 |
2B |
$3120$ |
$192$ |
$3$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.448259$ |
$83587439220736/13990184325$ |
$1.00034$ |
$4.90130$ |
$[0, 0, 0, -20658, 963493]$ |
\(y^2=x^3-20658x+963493\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 12.12.0-4.c.1.2, 16.24.0.i.1, $\ldots$ |
$[]$ |
| 4680.m1 |
4680v3 |
4680.m |
4680v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{7} \cdot 5^{2} \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1.036838165$ |
$1$ |
|
$11$ |
$12288$ |
$1.194626$ |
$490757540836/2142075$ |
$0.93734$ |
$4.78548$ |
$[0, 0, 0, -14907, 697894]$ |
\(y^2=x^3-14907x+697894\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 12.24.0-12.h.1.2, 104.24.0.?, 312.48.0.? |
$[(83, 180)]$ |
| 4680.m2 |
4680v2 |
4680.m |
4680v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$0.518419082$ |
$1$ |
|
$19$ |
$6144$ |
$0.848053$ |
$1650587344/950625$ |
$0.98820$ |
$3.94758$ |
$[0, 0, 0, -1407, -1406]$ |
\(y^2=x^3-1407x-1406\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.a.1.1, 52.24.0-52.b.1.3, 156.48.0.? |
$[(-7, 90)]$ |
| 4680.m3 |
4680v1 |
4680.m |
4680v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{4} \cdot 3^{10} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1.036838165$ |
$1$ |
|
$7$ |
$3072$ |
$0.501479$ |
$9538484224/26325$ |
$0.91841$ |
$3.82708$ |
$[0, 0, 0, -1002, -12179]$ |
\(y^2=x^3-1002x-12179\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.2, 24.24.0-24.ba.1.4, $\ldots$ |
$[(-18, 5)]$ |
| 4680.m4 |
4680v4 |
4680.m |
4680v |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{7} \cdot 5^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1.036838165$ |
$1$ |
|
$7$ |
$12288$ |
$1.194626$ |
$26198797244/15234375$ |
$1.02140$ |
$4.43875$ |
$[0, 0, 0, 5613, -11234]$ |
\(y^2=x^3+5613x-11234\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.ba.1.16, 78.6.0.?, 104.24.0.?, $\ldots$ |
$[(27, 400)]$ |
| 4680.n1 |
4680d1 |
4680.n |
4680d |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{3} \cdot 5^{7} \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.030919782$ |
$1$ |
|
$16$ |
$13440$ |
$1.423429$ |
$74251994112/29007265625$ |
$1.10272$ |
$4.77870$ |
$[0, 0, 0, 1668, 680756]$ |
\(y^2=x^3+1668x+680756\) |
390.2.0.? |
$[(862, 25350)]$ |
| 4680.o1 |
4680u1 |
4680.o |
4680u |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{17} \cdot 5 \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.520839236$ |
$1$ |
|
$4$ |
$42240$ |
$1.909044$ |
$396555344454656/328867205355$ |
$1.02213$ |
$5.41361$ |
$[0, 0, 0, 87468, -6552236]$ |
\(y^2=x^3+87468x-6552236\) |
390.2.0.? |
$[(1460, 56862)]$ |
| 4680.p1 |
4680t3 |
4680.p |
4680t |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{9} \cdot 5 \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$1560$ |
$48$ |
$0$ |
$6.178122246$ |
$1$ |
|
$3$ |
$12288$ |
$1.416964$ |
$10625310339698/3855735$ |
$1.18546$ |
$5.23137$ |
$[0, 0, 0, -52347, -4608394]$ |
\(y^2=x^3-52347x-4608394\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 120.24.0.?, 312.24.0.?, 520.24.0.?, $\ldots$ |
$[(350, 4466)]$ |
| 4680.p2 |
4680t4 |
4680.p |
4680t |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{18} \cdot 5 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$1560$ |
$48$ |
$0$ |
$6.178122246$ |
$1$ |
|
$1$ |
$12288$ |
$1.416964$ |
$1481943889298/34543665$ |
$0.95159$ |
$4.99827$ |
$[0, 0, 0, -27147, 1686566]$ |
\(y^2=x^3-27147x+1686566\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 120.24.0.?, 156.12.0.?, $\ldots$ |
$[(545/2, 5753/2)]$ |
| 4680.p3 |
4680t2 |
4680.p |
4680t |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{12} \cdot 5^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$3.089061123$ |
$1$ |
|
$7$ |
$6144$ |
$1.070389$ |
$7793764996/3080025$ |
$0.92131$ |
$4.29529$ |
$[0, 0, 0, -3747, -49714]$ |
\(y^2=x^3-3747x-49714\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 120.24.0.?, 156.24.0.?, 520.24.0.?, $\ldots$ |
$[(107, 880)]$ |
| 4680.p4 |
4680t1 |
4680.p |
4680t |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{8} \cdot 3^{9} \cdot 5^{4} \cdot 13 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$1560$ |
$48$ |
$0$ |
$1.544530561$ |
$1$ |
|
$11$ |
$3072$ |
$0.723816$ |
$253012016/219375$ |
$0.87387$ |
$3.72567$ |
$[0, 0, 0, 753, -5614]$ |
\(y^2=x^3+753x-5614\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 78.6.0.?, 120.24.0.?, 156.24.0.?, $\ldots$ |
$[(10, 54)]$ |
| 4680.q1 |
4680r3 |
4680.q |
4680r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{14} \cdot 5^{3} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.869869$ |
$52337949619538/23423590125$ |
$0.99759$ |
$5.42004$ |
$[0, 0, 0, -89067, 4870726]$ |
\(y^2=x^3-89067x+4870726\) |
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, $\ldots$ |
$[]$ |
| 4680.q2 |
4680r2 |
4680.q |
4680r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{10} \cdot 5^{6} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$12288$ |
$1.523294$ |
$12677589459076/213890625$ |
$1.04517$ |
$5.17024$ |
$[0, 0, 0, -44067, -3508274]$ |
\(y^2=x^3-44067x-3508274\) |
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.?, $\ldots$ |
$[]$ |
| 4680.q3 |
4680r1 |
4680.q |
4680r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{8} \cdot 5^{3} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.176722$ |
$50091484483024/14625$ |
$1.04455$ |
$5.16879$ |
$[0, 0, 0, -43887, -3538766]$ |
\(y^2=x^3-43887x-3538766\) |
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, $\ldots$ |
$[]$ |
| 4680.q4 |
4680r4 |
4680.q |
4680r |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{11} \cdot 3^{8} \cdot 5^{12} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$24576$ |
$1.869869$ |
$-546718898/28564453125$ |
$1.10685$ |
$5.41311$ |
$[0, 0, 0, -1947, -9935786]$ |
\(y^2=x^3-1947x-9935786\) |
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.?, $\ldots$ |
$[]$ |
| 4680.r1 |
4680c2 |
4680.r |
4680c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{3} \cdot 5 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$4.165927888$ |
$1$ |
|
$3$ |
$1536$ |
$0.366040$ |
$492983766/845$ |
$0.87955$ |
$3.66066$ |
$[0, 0, 0, -627, -6034]$ |
\(y^2=x^3-627x-6034\) |
2.3.0.a.1, 120.6.0.?, 156.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(50, 296)]$ |
| 4680.r2 |
4680c1 |
4680.r |
4680c |
$2$ |
$2$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{10} \cdot 3^{3} \cdot 5^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1560$ |
$12$ |
$0$ |
$2.082963944$ |
$1$ |
|
$5$ |
$768$ |
$0.019466$ |
$-78732/325$ |
$0.84264$ |
$2.79220$ |
$[0, 0, 0, -27, -154]$ |
\(y^2=x^3-27x-154\) |
2.3.0.a.1, 78.6.0.?, 120.6.0.?, 520.6.0.?, 1560.12.0.? |
$[(10, 24)]$ |
| 4680.s1 |
4680i3 |
4680.s |
4680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{9} \cdot 5^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.560822$ |
$49235161015876/137109375$ |
$0.96975$ |
$5.33079$ |
$[0, 0, 0, -69267, -6999874]$ |
\(y^2=x^3-69267x-6999874\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 24.24.0-24.z.1.16, 104.24.0.?, 156.24.0.?, $\ldots$ |
$[]$ |
| 4680.s2 |
4680i4 |
4680.s |
4680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{18} \cdot 5^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$12288$ |
$1.560822$ |
$39914580075556/172718325$ |
$0.96849$ |
$5.30595$ |
$[0, 0, 0, -64587, 6294134]$ |
\(y^2=x^3-64587x+6294134\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 12.12.0-4.c.1.1, 24.24.0-24.z.1.12, $\ldots$ |
$[]$ |
| 4680.s3 |
4680i2 |
4680.s |
4680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{8} \cdot 3^{12} \cdot 5^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$156$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$6144$ |
$1.214249$ |
$133649126224/77000625$ |
$1.02472$ |
$4.46753$ |
$[0, 0, 0, -6087, -12166]$ |
\(y^2=x^3-6087x-12166\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.1, 52.24.0-52.b.1.3, 156.48.0.? |
$[]$ |
| 4680.s4 |
4680i1 |
4680.s |
4680i |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( - 2^{4} \cdot 3^{9} \cdot 5^{2} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$312$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$3072$ |
$0.867675$ |
$33165879296/19278675$ |
$1.18904$ |
$3.97454$ |
$[0, 0, 0, 1518, -1519]$ |
\(y^2=x^3+1518x-1519\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 6.6.0.a.1, 12.24.0-12.g.1.2, 104.24.0.?, $\ldots$ |
$[]$ |
| 4680.t1 |
4680s3 |
4680.t |
4680s |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{11} \cdot 3^{6} \cdot 5^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$4096$ |
$0.862427$ |
$9636491538/8125$ |
$0.94289$ |
$4.40242$ |
$[0, 0, 0, -5067, 138726]$ |
\(y^2=x^3-5067x+138726\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.1, 40.12.0.y.1, 104.12.0.?, $\ldots$ |
$[]$ |
| 4680.t2 |
4680s2 |
4680.t |
4680s |
$4$ |
$4$ |
\( 2^{3} \cdot 3^{2} \cdot 5 \cdot 13 \) |
\( 2^{10} \cdot 3^{6} \cdot 5^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$1560$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$3$ |
$2048$ |
$0.515853$ |
$8586756/4225$ |
$0.96662$ |
$3.48937$ |
$[0, 0, 0, -387, 1134]$ |
\(y^2=x^3-387x+1134\) |
2.6.0.a.1, 24.12.0-2.a.1.1, 40.12.0.b.1, 60.12.0-2.a.1.1, 104.12.0.?, $\ldots$ |
$[]$ |
