| 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 |
| 20475.a1 |
20475u1 |
20475.a |
20475u |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{10} \cdot 5^{6} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$53760$ |
$1.145811$ |
$-2019487744/361179$ |
$0.90207$ |
$3.82229$ |
$[0, 0, 1, -5925, -200844]$ |
\(y^2+y=x^3-5925x-200844\) |
182.2.0.? |
$[ ]$ |
| 20475.b1 |
20475bj1 |
20475.b |
20475bj |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{8} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$26$ |
$2$ |
$0$ |
$0.538111121$ |
$1$ |
|
$4$ |
$28800$ |
$0.870532$ |
$2560000/637$ |
$0.81958$ |
$3.44745$ |
$[0, 0, 1, -1875, -23594]$ |
\(y^2+y=x^3-1875x-23594\) |
26.2.0.a.1 |
$[(-25, 87)]$ |
| 20475.c1 |
20475bc1 |
20475.c |
20475bc |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$182$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$13824$ |
$0.417696$ |
$110592/91$ |
$0.71571$ |
$2.80669$ |
$[0, 0, 1, 225, -844]$ |
\(y^2+y=x^3+225x-844\) |
182.2.0.? |
$[ ]$ |
| 20475.d1 |
20475s5 |
20475.d |
20475s |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{12} \cdot 5^{7} \cdot 7 \cdot 13^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.94 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.959881$ |
$282352188585428161201/20813369346315$ |
$0.99865$ |
$6.38040$ |
$[1, -1, 1, -30751880, 65641548872]$ |
\(y^2+xy+y=x^3-x^2-30751880x+65641548872\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.3, 60.12.0-4.c.1.1, 84.12.0.?, $\ldots$ |
$[ ]$ |
| 20475.d2 |
20475s3 |
20475.d |
20475s |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{8} \cdot 7^{8} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.93 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$589824$ |
$2.613308$ |
$11372424889583066401/50586128775$ |
$0.98653$ |
$6.05684$ |
$[1, -1, 1, -10541255, -13170371128]$ |
\(y^2+xy+y=x^3-x^2-10541255x-13170371128\) |
2.3.0.a.1, 4.6.0.c.1, 8.24.0-8.n.1.5, 60.12.0-4.c.1.2, 120.48.0.?, $\ldots$ |
$[ ]$ |
| 20475.d3 |
20475s4 |
20475.d |
20475s |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{18} \cdot 5^{8} \cdot 7^{2} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.11 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$589824$ |
$2.613308$ |
$83339496416030401/18593645841225$ |
$0.97073$ |
$5.56162$ |
$[1, -1, 1, -2047505, 884478872]$ |
\(y^2+xy+y=x^3-x^2-2047505x+884478872\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.8, 60.24.0-4.b.1.1, 84.24.0.?, $\ldots$ |
$[ ]$ |
| 20475.d4 |
20475s2 |
20475.d |
20475s |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{12} \cdot 5^{10} \cdot 7^{4} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.24.0.14 |
2Cs |
$10920$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$2$ |
$294912$ |
$2.266735$ |
$2912015927948401/184878500625$ |
$0.94885$ |
$5.22375$ |
$[1, -1, 1, -669380, -198727378]$ |
\(y^2+xy+y=x^3-x^2-669380x-198727378\) |
2.6.0.a.1, 4.12.0.b.1, 8.24.0-4.b.1.10, 60.24.0-4.b.1.3, 120.48.0.?, $\ldots$ |
$[ ]$ |
| 20475.d5 |
20475s1 |
20475.d |
20475s |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{9} \cdot 5^{14} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.8 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$147456$ |
$1.920160$ |
$373092501599/6718359375$ |
$0.94544$ |
$4.66391$ |
$[1, -1, 1, 33745, -13102378]$ |
\(y^2+xy+y=x^3-x^2+33745x-13102378\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.2, 60.12.0-4.c.1.2, $\ldots$ |
$[ ]$ |
| 20475.d6 |
20475s6 |
20475.d |
20475s |
$6$ |
$8$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{30} \cdot 5^{7} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.24.0.9 |
2B |
$21840$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1179648$ |
$2.959881$ |
$949279533867428399/1670570708285115$ |
$0.99398$ |
$5.87856$ |
$[1, -1, 1, 4606870, 5436071372]$ |
\(y^2+xy+y=x^3-x^2+4606870x+5436071372\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 16.24.0-8.n.1.4, 60.12.0-4.c.1.1, $\ldots$ |
$[ ]$ |
| 20475.e1 |
20475be1 |
20475.e |
20475be |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{10} \cdot 5^{9} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$61440$ |
$1.412268$ |
$833237621/51597$ |
$0.84991$ |
$4.19237$ |
$[1, -1, 1, -22055, 1196822]$ |
\(y^2+xy+y=x^3-x^2-22055x+1196822\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[ ]$ |
| 20475.e2 |
20475be2 |
20475.e |
20475be |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{14} \cdot 5^{9} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$122880$ |
$1.758841$ |
$403583419/7761663$ |
$0.91964$ |
$4.46919$ |
$[1, -1, 1, 17320, 4976822]$ |
\(y^2+xy+y=x^3-x^2+17320x+4976822\) |
2.3.0.a.1, 70.6.0.a.1, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[ ]$ |
| 20475.f1 |
20475n1 |
20475.f |
20475n |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{9} \cdot 5^{8} \cdot 7 \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$1.012285009$ |
$1$ |
|
$4$ |
$100800$ |
$1.806709$ |
$179685/2599051$ |
$1.07692$ |
$4.53194$ |
$[1, -1, 1, 2320, 6800572]$ |
\(y^2+xy+y=x^3-x^2+2320x+6800572\) |
1092.2.0.? |
$[(-110, 2336)]$ |
| 20475.g1 |
20475b2 |
20475.g |
20475b |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 5^{8} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$0.650039077$ |
$1$ |
|
$8$ |
$21504$ |
$0.847115$ |
$38034753147/15925$ |
$0.86449$ |
$3.75888$ |
$[1, -1, 1, -5255, 147872]$ |
\(y^2+xy+y=x^3-x^2-5255x+147872\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[(34, 70)]$ |
| 20475.g2 |
20475b1 |
20475.g |
20475b |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 5^{7} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1.300078154$ |
$1$ |
|
$7$ |
$10752$ |
$0.500541$ |
$14348907/5915$ |
$0.94976$ |
$2.96482$ |
$[1, -1, 1, -380, 1622]$ |
\(y^2+xy+y=x^3-x^2-380x+1622\) |
2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[(4, 10)]$ |
| 20475.h1 |
20475v3 |
20475.h |
20475v |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{18} \cdot 5^{10} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.6 |
2B |
$10920$ |
$48$ |
$0$ |
$8.553031623$ |
$1$ |
|
$0$ |
$663552$ |
$2.611214$ |
$1559802282754777489/1481059636875$ |
$0.97830$ |
$5.85672$ |
$[1, -1, 1, -5436230, -4873232478]$ |
\(y^2+xy+y=x^3-x^2-5436230x-4873232478\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 364.12.0.?, 420.12.0.?, $\ldots$ |
$[(414395/2, 266277129/2)]$ |
| 20475.h2 |
20475v2 |
20475.h |
20475v |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{12} \cdot 5^{8} \cdot 7^{6} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$4.276515811$ |
$1$ |
|
$6$ |
$331776$ |
$2.264637$ |
$718576775407009/362361861225$ |
$0.96651$ |
$5.08278$ |
$[1, -1, 1, -419855, -37446978]$ |
\(y^2+xy+y=x^3-x^2-419855x-37446978\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 364.24.0.?, 420.24.0.?, 780.24.0.?, $\ldots$ |
$[(-591, 2295)]$ |
| 20475.h3 |
20475v1 |
20475.h |
20475v |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{7} \cdot 7^{3} \cdot 13^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.7 |
2B |
$10920$ |
$48$ |
$0$ |
$2.138257905$ |
$1$ |
|
$11$ |
$165888$ |
$1.918064$ |
$117713838907729/1322517105$ |
$0.92830$ |
$4.90055$ |
$[1, -1, 1, -229730, 42025272]$ |
\(y^2+xy+y=x^3-x^2-229730x+42025272\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 210.6.0.?, 420.24.0.?, 728.24.0.?, $\ldots$ |
$[(254, -15)]$ |
| 20475.h4 |
20475v4 |
20475.h |
20475v |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{9} \cdot 5^{7} \cdot 7^{12} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.8 |
2B |
$10920$ |
$48$ |
$0$ |
$8.553031623$ |
$1$ |
|
$0$ |
$663552$ |
$2.611214$ |
$36472485598112591/24291459037755$ |
$1.07485$ |
$5.47838$ |
$[1, -1, 1, 1554520, -290166978]$ |
\(y^2+xy+y=x^3-x^2+1554520x-290166978\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 390.6.0.?, 728.24.0.?, 780.24.0.?, $\ldots$ |
$[(795/2, 40473/2)]$ |
| 20475.i1 |
20475d1 |
20475.i |
20475d |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{3} \cdot 5^{10} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$25920$ |
$0.998570$ |
$-492075/4459$ |
$0.88749$ |
$3.55693$ |
$[1, -1, 1, -1055, 54072]$ |
\(y^2+xy+y=x^3-x^2-1055x+54072\) |
1092.2.0.? |
$[ ]$ |
| 20475.j1 |
20475bf1 |
20475.j |
20475bf |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{7} \cdot 5^{3} \cdot 7^{5} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$76800$ |
$1.516283$ |
$108647414150813/1440074181$ |
$0.94977$ |
$4.40609$ |
$[1, -1, 1, -44735, -3588658]$ |
\(y^2+xy+y=x^3-x^2-44735x-3588658\) |
2.3.0.a.1, 20.6.0.b.1, 84.6.0.?, 210.6.0.?, 420.12.0.? |
$[ ]$ |
| 20475.j2 |
20475bf2 |
20475.j |
20475bf |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{8} \cdot 5^{3} \cdot 7^{10} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$420$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$153600$ |
$1.862856$ |
$-366600498893/429644853729$ |
$1.03436$ |
$4.59974$ |
$[1, -1, 1, -6710, -9520558]$ |
\(y^2+xy+y=x^3-x^2-6710x-9520558\) |
2.3.0.a.1, 20.6.0.a.1, 84.6.0.?, 420.12.0.? |
$[ ]$ |
| 20475.k1 |
20475l2 |
20475.k |
20475l |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{12} \cdot 7^{10} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1.066122312$ |
$1$ |
|
$4$ |
$1797120$ |
$3.107067$ |
$9316717055063573427/57377784953125$ |
$1.08659$ |
$6.36877$ |
$[1, -1, 1, -29590355, 61631427772]$ |
\(y^2+xy+y=x^3-x^2-29590355x+61631427772\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[(1379, 152435)]$ |
| 20475.k2 |
20475l1 |
20475.k |
20475l |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{9} \cdot 7^{5} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$0.533061156$ |
$1$ |
|
$9$ |
$898560$ |
$2.760494$ |
$9275335480470938787/355047875$ |
$1.08642$ |
$6.36832$ |
$[1, -1, 1, -29546480, 61824214522]$ |
\(y^2+xy+y=x^3-x^2-29546480x+61824214522\) |
2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[(3134, -2005)]$ |
| 20475.l1 |
20475bi2 |
20475.l |
20475bi |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{3} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$0.728410483$ |
$1$ |
|
$4$ |
$32256$ |
$1.087671$ |
$63473450669/33787663$ |
$0.93603$ |
$3.65609$ |
$[1, -1, 1, -3740, -23988]$ |
\(y^2+xy+y=x^3-x^2-3740x-23988\) |
2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(89, 540)]$ |
| 20475.l2 |
20475bi1 |
20475.l |
20475bi |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{3} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$0.364205241$ |
$1$ |
|
$9$ |
$16128$ |
$0.741096$ |
$12310389629/107653$ |
$0.87803$ |
$3.49087$ |
$[1, -1, 1, -2165, 39012]$ |
\(y^2+xy+y=x^3-x^2-2165x+39012\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(20, 48)]$ |
| 20475.m1 |
20475p1 |
20475.m |
20475p |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{9} \cdot 5^{4} \cdot 7^{3} \cdot 13 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$0.360657155$ |
$1$ |
|
$6$ |
$15552$ |
$0.743157$ |
$-492075/4459$ |
$0.88749$ |
$3.24818$ |
$[1, -1, 1, -380, -11528]$ |
\(y^2+xy+y=x^3-x^2-380x-11528\) |
1092.2.0.? |
$[(64, 440)]$ |
| 20475.n1 |
20475y3 |
20475.n |
20475y |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{7} \cdot 7^{8} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$21840$ |
$192$ |
$3$ |
$0.433184671$ |
$1$ |
|
$8$ |
$98304$ |
$1.755154$ |
$6903498885921/374712065$ |
$1.05880$ |
$4.61484$ |
$[1, -1, 1, -89255, 9792622]$ |
\(y^2+xy+y=x^3-x^2-89255x+9792622\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 60.12.0-4.c.1.1, 112.24.0.?, $\ldots$ |
$[(124, 725)]$ |
| 20475.n2 |
20475y2 |
20475.n |
20475y |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{8} \cdot 7^{4} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.4 |
2Cs |
$10920$ |
$192$ |
$3$ |
$0.866369343$ |
$1$ |
|
$14$ |
$49152$ |
$1.408581$ |
$40743095121/10144225$ |
$1.04116$ |
$4.09782$ |
$[1, -1, 1, -16130, -591128]$ |
\(y^2+xy+y=x^3-x^2-16130x-591128\) |
2.6.0.a.1, 4.12.0.a.1, 56.24.0.j.1, 60.24.0-4.a.1.1, 156.24.0.?, $\ldots$ |
$[(-76, 475)]$ |
| 20475.n3 |
20475y1 |
20475.n |
20475y |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{7} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.10 |
2B |
$21840$ |
$192$ |
$3$ |
$1.732738686$ |
$1$ |
|
$7$ |
$24576$ |
$1.062006$ |
$32798729601/3185$ |
$0.88277$ |
$4.07597$ |
$[1, -1, 1, -15005, -703628]$ |
\(y^2+xy+y=x^3-x^2-15005x-703628\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.o.1, 60.12.0-4.c.1.2, 112.24.0.?, $\ldots$ |
$[(-70, 38)]$ |
| 20475.n4 |
20475y4 |
20475.n |
20475y |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{6} \cdot 5^{10} \cdot 7^{2} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.9 |
2B |
$21840$ |
$192$ |
$3$ |
$1.732738686$ |
$1$ |
|
$4$ |
$98304$ |
$1.755154$ |
$575722725759/874680625$ |
$0.94006$ |
$4.41353$ |
$[1, -1, 1, 38995, -3788378]$ |
\(y^2+xy+y=x^3-x^2+38995x-3788378\) |
2.3.0.a.1, 4.12.0.d.1, 56.24.0.x.1, 60.24.0-4.d.1.1, 312.24.0.?, $\ldots$ |
$[(239, 4255)]$ |
| 20475.o1 |
20475g1 |
20475.o |
20475g |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{3} \cdot 5^{2} \cdot 7 \cdot 13^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$6720$ |
$0.452685$ |
$179685/2599051$ |
$1.07692$ |
$2.89515$ |
$[1, -1, 1, 10, -2018]$ |
\(y^2+xy+y=x^3-x^2+10x-2018\) |
1092.2.0.? |
$[ ]$ |
| 20475.p1 |
20475k1 |
20475.p |
20475k |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{6} \cdot 7 \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$4.018226565$ |
$1$ |
|
$3$ |
$13824$ |
$0.718628$ |
$421875/91$ |
$0.93663$ |
$3.27357$ |
$[1, -1, 1, -1055, -10178]$ |
\(y^2+xy+y=x^3-x^2-1055x-10178\) |
2.3.0.a.1, 12.6.0.c.1, 364.6.0.?, 546.6.0.?, 1092.12.0.? |
$[(38, 40)]$ |
| 20475.p2 |
20475k2 |
20475.p |
20475k |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{9} \cdot 5^{6} \cdot 7^{2} \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1092$ |
$12$ |
$0$ |
$2.009113282$ |
$1$ |
|
$4$ |
$27648$ |
$1.065201$ |
$4492125/8281$ |
$0.90809$ |
$3.59061$ |
$[1, -1, 1, 2320, -64178]$ |
\(y^2+xy+y=x^3-x^2+2320x-64178\) |
2.3.0.a.1, 6.6.0.a.1, 364.6.0.?, 1092.12.0.? |
$[(70, 626)]$ |
| 20475.q1 |
20475h2 |
20475.q |
20475h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 5^{16} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$107520$ |
$1.657469$ |
$16008724040427/6220703125$ |
$0.97693$ |
$4.36756$ |
$[1, -1, 1, -39380, 1733872]$ |
\(y^2+xy+y=x^3-x^2-39380x+1733872\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[ ]$ |
| 20475.q2 |
20475h1 |
20475.q |
20475h |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{3} \cdot 5^{11} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$53760$ |
$1.310896$ |
$10768971245787/3696875$ |
$0.95487$ |
$4.32762$ |
$[1, -1, 1, -34505, 2474872]$ |
\(y^2+xy+y=x^3-x^2-34505x+2474872\) |
2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[ ]$ |
| 20475.r1 |
20475q3 |
20475.r |
20475q |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{9} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$8190$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$93312$ |
$1.714128$ |
$-178643795968/524596891$ |
$1.15023$ |
$4.42845$ |
$[0, 0, 1, -26400, 4069156]$ |
\(y^2+y=x^3-26400x+4069156\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.2, 45.24.0-9.a.1.1, 117.36.0.?, $\ldots$ |
$[ ]$ |
| 20475.r2 |
20475q1 |
20475.r |
20475q |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7 \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.12.0.1 |
3B |
$8190$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$10368$ |
$0.615517$ |
$-43614208/91$ |
$0.87141$ |
$3.40918$ |
$[0, 0, 1, -1650, -25844]$ |
\(y^2+y=x^3-1650x-25844\) |
3.4.0.a.1, 9.12.0.a.1, 15.8.0-3.a.1.1, 45.24.0-9.a.1.2, 117.36.0.?, $\ldots$ |
$[ ]$ |
| 20475.r3 |
20475q2 |
20475.r |
20475q |
$3$ |
$9$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{6} \cdot 5^{6} \cdot 7^{3} \cdot 13^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
3.12.0.1 |
3Cs |
$8190$ |
$144$ |
$3$ |
$1$ |
$1$ |
|
$0$ |
$31104$ |
$1.164824$ |
$224755712/753571$ |
$0.95798$ |
$3.73187$ |
$[0, 0, 1, 2850, -128219]$ |
\(y^2+y=x^3+2850x-128219\) |
3.12.0.a.1, 15.24.0-3.a.1.1, 117.36.0.?, 182.2.0.?, 546.24.1.?, $\ldots$ |
$[ ]$ |
| 20475.s1 |
20475bd2 |
20475.s |
20475bd |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{9} \cdot 7 \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$8.504079170$ |
$1$ |
|
$0$ |
$161280$ |
$1.892389$ |
$63473450669/33787663$ |
$0.93603$ |
$4.62886$ |
$[1, -1, 0, -93492, -3091959]$ |
\(y^2+xy=x^3-x^2-93492x-3091959\) |
2.3.0.a.1, 140.6.0.?, 260.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(-875/4, 88919/4)]$ |
| 20475.s2 |
20475bd1 |
20475.s |
20475bd |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{6} \cdot 5^{9} \cdot 7^{2} \cdot 13^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$1820$ |
$12$ |
$0$ |
$4.252039585$ |
$1$ |
|
$3$ |
$80640$ |
$1.545816$ |
$12310389629/107653$ |
$0.87803$ |
$4.46363$ |
$[1, -1, 0, -54117, 4822416]$ |
\(y^2+xy=x^3-x^2-54117x+4822416\) |
2.3.0.a.1, 130.6.0.?, 140.6.0.?, 364.6.0.?, 1820.12.0.? |
$[(0, 2196)]$ |
| 20475.t1 |
20475c1 |
20475.t |
20475c |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{9} \cdot 5^{10} \cdot 7^{3} \cdot 13 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$77760$ |
$1.547876$ |
$-492075/4459$ |
$0.88749$ |
$4.22095$ |
$[1, -1, 0, -9492, -1450459]$ |
\(y^2+xy=x^3-x^2-9492x-1450459\) |
1092.2.0.? |
$[ ]$ |
| 20475.u1 |
20475a2 |
20475.u |
20475a |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{8} \cdot 7^{2} \cdot 13 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$4.005098467$ |
$1$ |
|
$0$ |
$64512$ |
$1.396421$ |
$38034753147/15925$ |
$0.86449$ |
$4.42290$ |
$[1, -1, 0, -47292, -3945259]$ |
\(y^2+xy=x^3-x^2-47292x-3945259\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[(3271/2, 176279/2)]$ |
| 20475.u2 |
20475a1 |
20475.u |
20475a |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{7} \cdot 7 \cdot 13^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$2.002549233$ |
$1$ |
|
$3$ |
$32256$ |
$1.049847$ |
$14348907/5915$ |
$0.94976$ |
$3.62884$ |
$[1, -1, 0, -3417, -40384]$ |
\(y^2+xy=x^3-x^2-3417x-40384\) |
2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[(-16, 108)]$ |
| 20475.v1 |
20475r3 |
20475.v |
20475r |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{7} \cdot 5^{7} \cdot 7 \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.609524$ |
$19790357598649/2998905$ |
$0.91596$ |
$4.72093$ |
$[1, -1, 0, -126792, -17343509]$ |
\(y^2+xy=x^3-x^2-126792x-17343509\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.1, 84.12.0.?, 210.6.0.?, $\ldots$ |
$[ ]$ |
| 20475.v2 |
20475r4 |
20475.v |
20475r |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{7} \cdot 5^{10} \cdot 7^{4} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$73728$ |
$1.609524$ |
$1408317602329/58524375$ |
$0.89699$ |
$4.45471$ |
$[1, -1, 0, -52542, 4479241]$ |
\(y^2+xy=x^3-x^2-52542x+4479241\) |
2.3.0.a.1, 4.6.0.c.1, 20.12.0-4.c.1.2, 156.12.0.?, 168.12.0.?, $\ldots$ |
$[ ]$ |
| 20475.v3 |
20475r2 |
20475.v |
20475r |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{8} \cdot 5^{8} \cdot 7^{2} \cdot 13^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.6.0.1 |
2Cs |
$5460$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$36864$ |
$1.262951$ |
$6321363049/1863225$ |
$0.99851$ |
$3.91011$ |
$[1, -1, 0, -8667, -215384]$ |
\(y^2+xy=x^3-x^2-8667x-215384\) |
2.6.0.a.1, 20.12.0-2.a.1.1, 84.12.0.?, 156.12.0.?, 364.12.0.?, $\ldots$ |
$[ ]$ |
| 20475.v4 |
20475r1 |
20475.v |
20475r |
$4$ |
$4$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{10} \cdot 5^{7} \cdot 7 \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.6.0.1 |
2B |
$10920$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$18432$ |
$0.916376$ |
$30080231/36855$ |
$0.80519$ |
$3.38256$ |
$[1, -1, 0, 1458, -23009]$ |
\(y^2+xy=x^3-x^2+1458x-23009\) |
2.3.0.a.1, 4.6.0.c.1, 40.12.0-4.c.1.5, 84.12.0.?, 312.12.0.?, $\ldots$ |
$[ ]$ |
| 20475.w1 |
20475m1 |
20475.w |
20475m |
$1$ |
$1$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( - 3^{3} \cdot 5^{8} \cdot 7 \cdot 13^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$1092$ |
$2$ |
$0$ |
$0.596243173$ |
$1$ |
|
$2$ |
$33600$ |
$1.257404$ |
$179685/2599051$ |
$1.07692$ |
$3.86792$ |
$[1, -1, 0, 258, -251959]$ |
\(y^2+xy=x^3-x^2+258x-251959\) |
1092.2.0.? |
$[(544, 12403)]$ |
| 20475.x1 |
20475f2 |
20475.x |
20475f |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{16} \cdot 7^{2} \cdot 13 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$322560$ |
$2.206776$ |
$16008724040427/6220703125$ |
$0.97693$ |
$5.03158$ |
$[1, -1, 0, -354417, -46460134]$ |
\(y^2+xy=x^3-x^2-354417x-46460134\) |
2.3.0.a.1, 156.6.0.?, 420.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[ ]$ |
| 20475.x2 |
20475f1 |
20475.x |
20475f |
$2$ |
$2$ |
\( 3^{2} \cdot 5^{2} \cdot 7 \cdot 13 \) |
\( 3^{9} \cdot 5^{11} \cdot 7 \cdot 13^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$5460$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$161280$ |
$1.860201$ |
$10768971245787/3696875$ |
$0.95487$ |
$4.99164$ |
$[1, -1, 0, -310542, -66511009]$ |
\(y^2+xy=x^3-x^2-310542x-66511009\) |
2.3.0.a.1, 156.6.0.?, 210.6.0.?, 1820.6.0.?, 5460.12.0.? |
$[ ]$ |
