| 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 |
| 6045.a1 |
6045c1 |
6045.a |
6045c |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{19} \cdot 5 \cdot 13 \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$12090$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$27360$ |
$1.117357$ |
$29763331769995264/2341956856005$ |
$0.93593$ |
$4.35651$ |
$[0, -1, 1, -6456, -183454]$ |
\(y^2+y=x^3-x^2-6456x-183454\) |
12090.2.0.? |
$[]$ |
| 6045.b1 |
6045d1 |
6045.b |
6045d |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{2} \cdot 5^{4} \cdot 13 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$806$ |
$2$ |
$0$ |
$0.118234603$ |
$1$ |
|
$8$ |
$1600$ |
$-0.100254$ |
$99897344/2266875$ |
$0.82552$ |
$2.53392$ |
$[0, -1, 1, 10, 68]$ |
\(y^2+y=x^3-x^2+10x+68\) |
806.2.0.? |
$[(-1, 7)]$ |
| 6045.c1 |
6045l1 |
6045.c |
6045l |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{5} \cdot 5^{3} \cdot 13 \cdot 31 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$12090$ |
$2$ |
$0$ |
$0.092330789$ |
$1$ |
|
$10$ |
$1920$ |
$0.063847$ |
$38477541376/12241125$ |
$0.82642$ |
$2.79929$ |
$[0, 1, 1, -70, -176]$ |
\(y^2+y=x^3+x^2-70x-176\) |
12090.2.0.? |
$[(-4, 7)]$ |
| 6045.d1 |
6045a1 |
6045.d |
6045a |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{23} \cdot 5^{7} \cdot 13^{3} \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$390$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$826896$ |
$3.274124$ |
$-109352504158564666761216262144/15528601085272278046875$ |
$1.06493$ |
$7.67942$ |
$[0, -1, 1, -99625001, -382750902343]$ |
\(y^2+y=x^3-x^2-99625001x-382750902343\) |
390.2.0.? |
$[]$ |
| 6045.e1 |
6045f1 |
6045.e |
6045f |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{5} \cdot 5^{3} \cdot 13^{5} \cdot 31^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$390$ |
$2$ |
$0$ |
$0.214638170$ |
$1$ |
|
$6$ |
$15600$ |
$1.190350$ |
$-5252054436020224/10838181904875$ |
$1.02623$ |
$4.33170$ |
$[0, 1, 1, -3621, -180439]$ |
\(y^2+y=x^3+x^2-3621x-180439\) |
390.2.0.? |
$[(159, 1813)]$ |
| 6045.f1 |
6045h1 |
6045.f |
6045h |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{9} \cdot 5^{3} \cdot 13 \cdot 31^{2} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$36270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$58320$ |
$2.088085$ |
$-5943423068131740751396864/30737464875$ |
$1.02906$ |
$6.55156$ |
$[0, 1, 1, -3773731, 2820401431]$ |
\(y^2+y=x^3+x^2-3773731x+2820401431\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 390.16.0.?, 1170.48.1.?, 3627.72.0.?, $\ldots$ |
$[]$ |
| 6045.f2 |
6045h2 |
6045.f |
6045h |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{3} \cdot 5^{9} \cdot 13^{3} \cdot 31^{6} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$36270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$174960$ |
$2.637394$ |
$-5869738723523437004161024/102823888385232421875$ |
$1.06981$ |
$6.55355$ |
$[0, 1, 1, -3758071, 2844985660]$ |
\(y^2+y=x^3+x^2-3758071x+2844985660\) |
3.24.0-3.a.1.1, 390.48.1.?, 3627.72.0.?, 36270.144.3.? |
$[]$ |
| 6045.f3 |
6045h3 |
6045.f |
6045h |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3 \cdot 5^{27} \cdot 13 \cdot 31^{2} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$36270$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$524880$ |
$3.186699$ |
$344647053641493631661244416/279240310192108154296875$ |
$1.10844$ |
$7.01788$ |
$[0, 1, 1, 14606639, 13595424541]$ |
\(y^2+y=x^3+x^2+14606639x+13595424541\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 390.16.0.?, 1170.48.1.?, 3627.72.0.?, $\ldots$ |
$[]$ |
| 6045.g1 |
6045i3 |
6045.g |
6045i |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3 \cdot 5^{9} \cdot 13 \cdot 31 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.3 |
3B.1.2 |
$36270$ |
$144$ |
$3$ |
$1$ |
$9$ |
$3$ |
$0$ |
$23328$ |
$1.455029$ |
$831958932702053269504/2361328125$ |
$1.04996$ |
$5.53237$ |
$[0, 1, 1, -195941, -33449224]$ |
\(y^2+y=x^3+x^2-195941x-33449224\) |
3.8.0-3.a.1.1, 9.24.0-9.a.1.1, 3627.72.0.?, 12090.16.0.?, 36270.144.3.? |
$[]$ |
| 6045.g2 |
6045i2 |
6045.g |
6045i |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{3} \cdot 5^{3} \cdot 13^{3} \cdot 31^{3} \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.24.0.1 |
3Cs.1.1 |
$36270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$7776$ |
$0.905722$ |
$1730766274822144/220896541125$ |
$1.00123$ |
$4.02979$ |
$[0, 1, 1, -2501, -43345]$ |
\(y^2+y=x^3+x^2-2501x-43345\) |
3.24.0-3.a.1.1, 3627.72.0.?, 12090.48.1.?, 36270.144.3.? |
$[]$ |
| 6045.g3 |
6045i1 |
6045.g |
6045i |
$3$ |
$9$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{9} \cdot 5 \cdot 13 \cdot 31 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
9.24.0.1 |
3B.1.1 |
$36270$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$2$ |
$2592$ |
$0.356415$ |
$25267247939584/39661245$ |
$0.90298$ |
$3.54434$ |
$[0, 1, 1, -611, 5606]$ |
\(y^2+y=x^3+x^2-611x+5606\) |
3.8.0-3.a.1.2, 9.24.0-9.a.1.2, 3627.72.0.?, 12090.16.0.?, 36270.144.3.? |
$[]$ |
| 6045.h1 |
6045b3 |
6045.h |
6045b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3 \cdot 5 \cdot 13^{4} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$4608$ |
$0.539920$ |
$1694053550246329/13280865$ |
$0.90793$ |
$4.02733$ |
$[1, 1, 0, -2483, -48672]$ |
\(y^2+xy=x^3+x^2-2483x-48672\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 104.12.0.?, 372.12.0.?, $\ldots$ |
$[]$ |
| 6045.h2 |
6045b2 |
6045.h |
6045b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{2} \cdot 5^{2} \cdot 13^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$24180$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$2304$ |
$0.193346$ |
$440537367529/36542025$ |
$0.84670$ |
$3.07928$ |
$[1, 1, 0, -158, -777]$ |
\(y^2+xy=x^3+x^2-158x-777\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 52.12.0-2.a.1.1, 260.24.0.?, 372.12.0.?, $\ldots$ |
$[]$ |
| 6045.h3 |
6045b1 |
6045.h |
6045b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3 \cdot 5^{4} \cdot 13 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$1152$ |
$-0.153228$ |
$4165509529/755625$ |
$0.80050$ |
$2.54395$ |
$[1, 1, 0, -33, 48]$ |
\(y^2+xy=x^3+x^2-33x+48\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 52.12.0-4.c.1.2, 372.12.0.?, $\ldots$ |
$[]$ |
| 6045.h4 |
6045b4 |
6045.h |
6045b |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{4} \cdot 5 \cdot 13 \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$4608$ |
$0.539920$ |
$510273943271/4862338065$ |
$0.89544$ |
$3.41069$ |
$[1, 1, 0, 167, -3182]$ |
\(y^2+xy=x^3+x^2+167x-3182\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 52.12.0-4.c.1.1, 260.24.0.?, $\ldots$ |
$[]$ |
| 6045.i1 |
6045g3 |
6045.i |
6045g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{4} \cdot 5^{2} \cdot 13 \cdot 31 \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$9672$ |
$48$ |
$0$ |
$6.933012395$ |
$1$ |
|
$2$ |
$10240$ |
$1.060059$ |
$17157721205076026329/816075$ |
$0.95641$ |
$5.08660$ |
$[1, 0, 1, -53734, 4789721]$ |
\(y^2+xy+y=x^3-53734x+4789721\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 24.24.0-24.z.1.8, 1612.24.0.?, 9672.48.0.? |
$[(5299/6, 43153/6)]$ |
| 6045.i2 |
6045g2 |
6045.i |
6045g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{2} \cdot 5^{4} \cdot 13^{2} \cdot 31^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$4836$ |
$48$ |
$0$ |
$3.466506197$ |
$1$ |
|
$2$ |
$5120$ |
$0.713484$ |
$4189554574052329/913550625$ |
$0.91353$ |
$4.13132$ |
$[1, 0, 1, -3359, 74621]$ |
\(y^2+xy+y=x^3-3359x+74621\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 12.24.0-12.b.1.2, 1612.24.0.?, 4836.48.0.? |
$[(11/2, 2031/2)]$ |
| 6045.i3 |
6045g4 |
6045.i |
6045g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3 \cdot 5^{2} \cdot 13^{4} \cdot 31^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$9672$ |
$48$ |
$0$ |
$1.733253098$ |
$1$ |
|
$2$ |
$10240$ |
$1.060059$ |
$-2937047271278329/1978251246075$ |
$0.92201$ |
$4.17918$ |
$[1, 0, 1, -2984, 92021]$ |
\(y^2+xy+y=x^3-2984x+92021\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 6.6.0.a.1, 12.24.0-12.g.1.1, 3224.24.0.?, $\ldots$ |
$[(-37, 408)]$ |
| 6045.i4 |
6045g1 |
6045.i |
6045g |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3 \cdot 5^{8} \cdot 13 \cdot 31 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$9672$ |
$48$ |
$0$ |
$6.933012395$ |
$1$ |
|
$1$ |
$2560$ |
$0.366910$ |
$1408317602329/472265625$ |
$0.86664$ |
$3.21276$ |
$[1, 0, 1, -234, 871]$ |
\(y^2+xy+y=x^3-234x+871\) |
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.z.1.4, $\ldots$ |
$[(1/8, 14821/8)]$ |
| 6045.j1 |
6045j4 |
6045.j |
6045j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{5} \cdot 5^{3} \cdot 13^{4} \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67200$ |
$2.144688$ |
$14007310336277804358074809/26893751625$ |
$1.00434$ |
$6.65002$ |
$[1, 0, 1, -5022004, 4331333981]$ |
\(y^2+xy+y=x^3-5022004x+4331333981\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.1, 104.12.0.?, 312.24.0.?, $\ldots$ |
$[]$ |
| 6045.j2 |
6045j3 |
6045.j |
6045j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{5} \cdot 5^{12} \cdot 13 \cdot 31^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$67200$ |
$2.144688$ |
$3962560545151764363289/712256552490234375$ |
$1.02095$ |
$5.71164$ |
$[1, 0, 1, -329674, 60466097]$ |
\(y^2+xy+y=x^3-329674x+60466097\) |
2.3.0.a.1, 4.6.0.c.1, 12.12.0-4.c.1.2, 52.12.0-4.c.1.1, 156.24.0.?, $\ldots$ |
$[]$ |
| 6045.j3 |
6045j2 |
6045.j |
6045j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( 3^{10} \cdot 5^{6} \cdot 13^{2} \cdot 31^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.6.0.1 |
2Cs |
$24180$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$33600$ |
$1.798115$ |
$3419861389855396904809/149845141265625$ |
$0.97760$ |
$5.69472$ |
$[1, 0, 1, -313879, 67655981]$ |
\(y^2+xy+y=x^3-313879x+67655981\) |
2.6.0.a.1, 12.12.0-2.a.1.1, 52.12.0-2.a.1.1, 156.24.0.?, 620.12.0.?, $\ldots$ |
$[]$ |
| 6045.j4 |
6045j1 |
6045.j |
6045j |
$4$ |
$4$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{20} \cdot 5^{3} \cdot 13 \cdot 31 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$48360$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$16800$ |
$1.451542$ |
$-715498095288059929/175646764200375$ |
$0.94590$ |
$4.76231$ |
$[1, 0, 1, -18634, 1166807]$ |
\(y^2+xy+y=x^3-18634x+1166807\) |
2.3.0.a.1, 4.6.0.c.1, 24.12.0-4.c.1.3, 52.12.0-4.c.1.2, 312.24.0.?, $\ldots$ |
$[]$ |
| 6045.k1 |
6045e1 |
6045.k |
6045e |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{18} \cdot 5^{4} \cdot 13^{7} \cdot 31^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$806$ |
$2$ |
$0$ |
$3.151860666$ |
$1$ |
|
$0$ |
$1439424$ |
$3.368034$ |
$-57935753764344597320800620544/452638144641656215051875$ |
$1.03913$ |
$7.60798$ |
$[0, 1, 1, -80613476, -280487278945]$ |
\(y^2+y=x^3+x^2-80613476x-280487278945\) |
806.2.0.? |
$[(106021/2, 32203571/2)]$ |
| 6045.l1 |
6045k1 |
6045.l |
6045k |
$1$ |
$1$ |
\( 3 \cdot 5 \cdot 13 \cdot 31 \) |
\( - 3^{2} \cdot 5^{8} \cdot 13^{3} \cdot 31^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$806$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$82560$ |
$2.007282$ |
$747782559778770944/221126641688671875$ |
$1.03030$ |
$5.44279$ |
$[0, 1, 1, 18910, -22596031]$ |
\(y^2+y=x^3+x^2+18910x-22596031\) |
806.2.0.? |
$[]$ |
