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 |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
22386.a1 |
22386c1 |
22386.a |
22386c |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{7} \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.562043310$ |
$1$ |
|
$12$ |
$118272$ |
$1.637054$ |
$24342833031142160809/871338958753536$ |
$[1, 1, 0, -60378, -5556204]$ |
\(y^2+xy=x^3+x^2-60378x-5556204\) |
6396.2.0.? |
$[(500, 9214), (-124, 270)]$ |
22386.b1 |
22386e1 |
22386.b |
22386e |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7^{2} \cdot 13^{3} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$806400$ |
$2.617657$ |
$2167214967262362728787049/144916175320321257216$ |
$[1, 1, 0, -2696038, -1603537004]$ |
\(y^2+xy=x^3+x^2-2696038x-1603537004\) |
6396.2.0.? |
$[]$ |
22386.c1 |
22386f1 |
22386.c |
22386f |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{19} \cdot 3^{5} \cdot 7 \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$51680$ |
$1.143589$ |
$10209133395200375/6179378429952$ |
$[1, 1, 0, 4520, 26944]$ |
\(y^2+xy=x^3+x^2+4520x+26944\) |
6888.2.0.? |
$[]$ |
22386.d1 |
22386b1 |
22386.d |
22386b |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$89544$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$29952$ |
$0.831365$ |
$-106503164422201/139465138176$ |
$[1, 1, 0, -987, -21987]$ |
\(y^2+xy=x^3+x^2-987x-21987\) |
89544.2.0.? |
$[]$ |
22386.e1 |
22386d1 |
22386.e |
22386d |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{5} \cdot 7 \cdot 13 \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$89544$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3200$ |
$-0.062198$ |
$-16022066761/1813266$ |
$[1, 1, 0, -52, -182]$ |
\(y^2+xy=x^3+x^2-52x-182\) |
89544.2.0.? |
$[]$ |
22386.f1 |
22386a1 |
22386.f |
22386a |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{12} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.731171541$ |
$1$ |
|
$4$ |
$13056$ |
$0.321836$ |
$558051585337/320925696$ |
$[1, 1, 0, -171, -3]$ |
\(y^2+xy=x^3+x^2-171x-3\) |
6396.2.0.? |
$[(38, 205)]$ |
22386.g1 |
22386j1 |
22386.g |
22386j |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3^{3} \cdot 7^{3} \cdot 13^{2} \cdot 41^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6888$ |
$2$ |
$0$ |
$0.261574990$ |
$1$ |
|
$6$ |
$252000$ |
$1.774851$ |
$-81572642966348157961/5802482652509088$ |
$[1, 0, 1, -90353, 11069732]$ |
\(y^2+xy+y=x^3-90353x+11069732\) |
6888.2.0.? |
$[(168, 715)]$ |
22386.h1 |
22386g1 |
22386.h |
22386g |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{13} \cdot 7^{2} \cdot 13 \cdot 41 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.164739184$ |
$1$ |
|
$26$ |
$86528$ |
$1.392803$ |
$6034224034719280009/10659567050496$ |
$[1, 0, 1, -37929, 2835628]$ |
\(y^2+xy+y=x^3-37929x+2835628\) |
6396.2.0.? |
$[(62, 819), (251, 2898)]$ |
22386.i1 |
22386k1 |
22386.i |
22386k |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{9} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.443210715$ |
$1$ |
|
$4$ |
$18144$ |
$0.699855$ |
$-1745729089577929/2114671104$ |
$[1, 0, 1, -2509, 48200]$ |
\(y^2+xy+y=x^3-2509x+48200\) |
2184.2.0.? |
$[(22, 50)]$ |
22386.j1 |
22386h1 |
22386.j |
22386h |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3 \cdot 7^{4} \cdot 13^{13} \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$9.286890569$ |
$1$ |
|
$0$ |
$988416$ |
$2.675922$ |
$3106880453184523246867609/357783940416575730876$ |
$[1, 0, 1, -3039954, -1826108840]$ |
\(y^2+xy+y=x^3-3039954x-1826108840\) |
6396.2.0.? |
$[(-102257/9, 610075/9)]$ |
22386.k1 |
22386n2 |
22386.k |
22386n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{9} \cdot 3^{7} \cdot 7 \cdot 13^{6} \cdot 41^{3} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$707616$ |
$2.547646$ |
$-17614662728794756493037625/2607524922260224512$ |
$[1, 0, 1, -5420636, -4858691686]$ |
\(y^2+xy+y=x^3-5420636x-4858691686\) |
3.8.0-3.a.1.1, 6888.16.0.? |
$[]$ |
22386.k2 |
22386n1 |
22386.k |
22386n |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{3} \cdot 3^{21} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6888$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$235872$ |
$1.998339$ |
$307348720697576375/198884536470802728$ |
$[1, 0, 1, 14059, -21445720]$ |
\(y^2+xy+y=x^3+14059x-21445720\) |
3.8.0-3.a.1.2, 6888.16.0.? |
$[]$ |
22386.l1 |
22386l1 |
22386.l |
22386l |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{9} \cdot 7^{3} \cdot 13^{3} \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.225244952$ |
$1$ |
|
$6$ |
$54432$ |
$1.312307$ |
$20832968985844679/49866992732466$ |
$[1, 0, 1, 5732, 296324]$ |
\(y^2+xy+y=x^3+5732x+296324\) |
2184.2.0.? |
$[(94, 1244)]$ |
22386.m1 |
22386i4 |
22386.m |
22386i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{5} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$89544$ |
$48$ |
$0$ |
$9.271538759$ |
$1$ |
|
$0$ |
$69120$ |
$1.315538$ |
$83268941223547539433/3317067936$ |
$[1, 0, 1, -90975, -10569134]$ |
\(y^2+xy+y=x^3-90975x-10569134\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 168.24.0.?, 2132.12.0.?, $\ldots$ |
$[(202172/11, 88199811/11)]$ |
22386.m2 |
22386i2 |
22386.m |
22386i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{10} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$89544$ |
$48$ |
$0$ |
$4.635769379$ |
$1$ |
|
$4$ |
$34560$ |
$0.968966$ |
$20421858870283753/128290046976$ |
$[1, 0, 1, -5695, -164974]$ |
\(y^2+xy+y=x^3-5695x-164974\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 84.12.0.?, 168.24.0.?, 2132.12.0.?, $\ldots$ |
$[(1660, 66737)]$ |
22386.m3 |
22386i3 |
22386.m |
22386i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3 \cdot 7 \cdot 13^{4} \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$89544$ |
$48$ |
$0$ |
$9.271538759$ |
$1$ |
|
$0$ |
$69120$ |
$1.315538$ |
$-1407074115849193/54234808266912$ |
$[1, 0, 1, -2335, -357166]$ |
\(y^2+xy+y=x^3-2335x-357166\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(134428/9, 48662857/9)]$ |
22386.m4 |
22386i1 |
22386.m |
22386i |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{20} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$89544$ |
$48$ |
$0$ |
$9.271538759$ |
$1$ |
|
$1$ |
$17280$ |
$0.622392$ |
$20972058349033/11736711168$ |
$[1, 0, 1, -575, 914]$ |
\(y^2+xy+y=x^3-575x+914\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 84.12.0.?, 168.24.0.?, $\ldots$ |
$[(10376/5, 1029486/5)]$ |
22386.n1 |
22386m4 |
22386.n |
22386m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2 \cdot 3 \cdot 7^{4} \cdot 13^{4} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31232$ |
$0.723526$ |
$361811696411593/16869440406$ |
$[1, 0, 1, -1485, 20986]$ |
\(y^2+xy+y=x^3-1485x+20986\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 492.12.0.?, 728.24.0.?, $\ldots$ |
$[]$ |
22386.n2 |
22386m2 |
22386.n |
22386m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{2} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$2$ |
$15616$ |
$0.376953$ |
$1823449422313/501132996$ |
$[1, 0, 1, -255, -1154]$ |
\(y^2+xy+y=x^3-255x-1154\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 364.12.0.?, 492.12.0.?, 728.24.0.?, $\ldots$ |
$[]$ |
22386.n3 |
22386m1 |
22386.n |
22386m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$7808$ |
$0.030379$ |
$1426487591593/179088$ |
$[1, 0, 1, -235, -1402]$ |
\(y^2+xy+y=x^3-235x-1402\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 364.12.0.?, 492.12.0.?, $\ldots$ |
$[]$ |
22386.n4 |
22386m3 |
22386.n |
22386m |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3^{4} \cdot 7 \cdot 13 \cdot 41^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$89544$ |
$48$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$31232$ |
$0.723526$ |
$31145864569847/41657368662$ |
$[1, 0, 1, 655, -7342]$ |
\(y^2+xy+y=x^3+655x-7342\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 364.12.0.?, 728.24.0.?, $\ldots$ |
$[]$ |
22386.o1 |
22386s4 |
22386.o |
22386s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 13 \cdot 41^{4} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.7 |
2B |
$89544$ |
$48$ |
$0$ |
$4.237880430$ |
$1$ |
|
$4$ |
$61440$ |
$1.223724$ |
$86229623764904257/9525651634044$ |
$[1, 1, 1, -9204, 301881]$ |
\(y^2+xy+y=x^3+x^2-9204x+301881\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 156.24.0.?, 2296.24.0.?, 89544.48.0.? |
$[(669, 16815)]$ |
22386.o2 |
22386s2 |
22386.o |
22386s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{6} \cdot 7^{2} \cdot 13^{2} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.1 |
2Cs |
$44772$ |
$48$ |
$0$ |
$2.118940215$ |
$1$ |
|
$8$ |
$30720$ |
$0.877151$ |
$1152110255377537/162367090704$ |
$[1, 1, 1, -2184, -35079]$ |
\(y^2+xy+y=x^3+x^2-2184x-35079\) |
2.6.0.a.1, 4.12.0-2.a.1.1, 156.24.0.?, 1148.24.0.?, 44772.48.0.? |
$[(-33, 65)]$ |
22386.o3 |
22386s1 |
22386.o |
22386s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3^{3} \cdot 7 \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.6 |
2B |
$89544$ |
$48$ |
$0$ |
$4.237880430$ |
$1$ |
|
$3$ |
$15360$ |
$0.530577$ |
$1030086793846657/25788672$ |
$[1, 1, 1, -2104, -38023]$ |
\(y^2+xy+y=x^3+x^2-2104x-38023\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.5, 156.12.0.?, 312.24.0.?, $\ldots$ |
$[(169, 2029)]$ |
22386.o4 |
22386s3 |
22386.o |
22386s |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{12} \cdot 7 \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.12.0.8 |
2B |
$89544$ |
$48$ |
$0$ |
$4.237880430$ |
$1$ |
|
$2$ |
$61440$ |
$1.223724$ |
$4972803928432703/17424902388348$ |
$[1, 1, 1, 3556, -182023]$ |
\(y^2+xy+y=x^3+x^2+3556x-182023\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 312.24.0.?, 574.6.0.?, 1148.24.0.?, $\ldots$ |
$[(49, 311)]$ |
22386.p1 |
22386p1 |
22386.p |
22386p |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{10} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$116960$ |
$1.447840$ |
$408411137424575375/237392322963978$ |
$[1, 1, 1, 15457, 55583]$ |
\(y^2+xy+y=x^3+x^2+15457x+55583\) |
6888.2.0.? |
$[]$ |
22386.q1 |
22386o1 |
22386.q |
22386o |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{5} \cdot 3 \cdot 7^{5} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$2184$ |
$2$ |
$0$ |
$0.789820823$ |
$1$ |
|
$4$ |
$18400$ |
$0.704510$ |
$2427173723519/35259203616$ |
$[1, 1, 1, 280, 8969]$ |
\(y^2+xy+y=x^3+x^2+280x+8969\) |
2184.2.0.? |
$[(-7, 85)]$ |
22386.r1 |
22386q1 |
22386.r |
22386q |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{2} \cdot 3^{3} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.694276876$ |
$1$ |
|
$2$ |
$9984$ |
$0.269303$ |
$496981290961/138211164$ |
$[1, 1, 1, -165, -657]$ |
\(y^2+xy+y=x^3+x^2-165x-657\) |
6396.2.0.? |
$[(-9, 18)]$ |
22386.s1 |
22386r2 |
22386.s |
22386r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2 \cdot 3^{2} \cdot 7^{6} \cdot 13^{2} \cdot 41^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.6 |
2B |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$70656$ |
$1.165783$ |
$447151332019614769/601610161698$ |
$[1, 1, 1, -15931, -779689]$ |
\(y^2+xy+y=x^3+x^2-15931x-779689\) |
2.3.0.a.1, 8.6.0.b.1, 1148.6.0.?, 2296.12.0.? |
$[]$ |
22386.s2 |
22386r1 |
22386.s |
22386r |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{4} \cdot 7^{3} \cdot 13^{4} \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.6.0.1 |
2B |
$2296$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$35328$ |
$0.819210$ |
$-41454067728529/130135683132$ |
$[1, 1, 1, -721, -19189]$ |
\(y^2+xy+y=x^3+x^2-721x-19189\) |
2.3.0.a.1, 8.6.0.c.1, 574.6.0.?, 2296.12.0.? |
$[]$ |
22386.t1 |
22386t1 |
22386.t |
22386t |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{16} \cdot 3^{3} \cdot 7^{14} \cdot 13^{5} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$9569280$ |
$3.584427$ |
$187536845211756879082380654673/18269088231048308260798464$ |
$[1, 0, 0, -119248877, -457102142511]$ |
\(y^2+xy=x^3-119248877x-457102142511\) |
6396.2.0.? |
$[]$ |
22386.u1 |
22386bc2 |
22386.u |
22386bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{6} \cdot 3^{3} \cdot 7^{12} \cdot 13 \cdot 41^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$6396$ |
$16$ |
$0$ |
$0.435839725$ |
$1$ |
|
$6$ |
$1306368$ |
$2.713951$ |
$120986373702456846135875233/21429653098766238144$ |
$[1, 0, 0, -10303962, -12729674844]$ |
\(y^2+xy=x^3-10303962x-12729674844\) |
3.8.0-3.a.1.1, 6396.16.0.? |
$[(-1866, -96)]$ |
22386.u2 |
22386bc1 |
22386.u |
22386bc |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{18} \cdot 3^{9} \cdot 7^{4} \cdot 13^{3} \cdot 41 \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$6396$ |
$16$ |
$0$ |
$0.145279908$ |
$1$ |
|
$28$ |
$435456$ |
$2.164642$ |
$3215014175651328584353/1115930860975816704$ |
$[1, 0, 0, -307482, 41491044]$ |
\(y^2+xy=x^3-307482x+41491044\) |
3.8.0-3.a.1.2, 6396.16.0.? |
$[(84, 3990)]$ |
22386.v1 |
22386bb2 |
22386.v |
22386bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{13} \cdot 3^{3} \cdot 7 \cdot 13^{3} \cdot 41^{6} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.2 |
3B.1.2 |
$2184$ |
$16$ |
$0$ |
$3.486235945$ |
$1$ |
|
$2$ |
$9401184$ |
$3.738327$ |
$-2224778660867235879101476628566993/16157901081011429376$ |
$[1, 0, 0, -2719700197, -54592309294591]$ |
\(y^2+xy=x^3-2719700197x-54592309294591\) |
3.8.0-3.a.1.1, 2184.16.0.? |
$[(91490, 21457607)]$ |
22386.v2 |
22386bb1 |
22386.v |
22386bb |
$2$ |
$3$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{39} \cdot 3^{9} \cdot 7^{3} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\Z/3\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$3$ |
3.8.0.1 |
3B.1.1 |
$2184$ |
$16$ |
$0$ |
$1.162078648$ |
$1$ |
|
$12$ |
$3133728$ |
$3.189022$ |
$-4128223528775369483123266513/81108488685750967074816$ |
$[1, 0, 0, -33420517, -75619489279]$ |
\(y^2+xy=x^3-33420517x-75619489279\) |
3.8.0-3.a.1.2, 2184.16.0.? |
$[(7010, 182471)]$ |
22386.w1 |
22386v2 |
22386.w |
22386v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{8} \cdot 3 \cdot 7^{6} \cdot 13^{3} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$44772$ |
$12$ |
$0$ |
$0.970784549$ |
$1$ |
|
$4$ |
$552960$ |
$2.418934$ |
$80584461459025151375298097/333693103021824$ |
$[1, 0, 0, -8998619, 10389163089]$ |
\(y^2+xy=x^3-8998619x+10389163089\) |
2.3.0.a.1, 156.6.0.?, 1148.6.0.?, 44772.12.0.? |
$[(1734, -711)]$ |
22386.w2 |
22386v1 |
22386.w |
22386v |
$2$ |
$2$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{16} \cdot 3^{2} \cdot 7^{3} \cdot 13^{6} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
2.3.0.1 |
2B |
$44772$ |
$12$ |
$0$ |
$0.485392274$ |
$1$ |
|
$11$ |
$276480$ |
$2.072361$ |
$-19645130164017251655217/40036908053495808$ |
$[1, 0, 0, -562139, 162462033]$ |
\(y^2+xy=x^3-562139x+162462033\) |
2.3.0.a.1, 156.6.0.?, 574.6.0.?, 44772.12.0.? |
$[(382, 1681)]$ |
22386.x1 |
22386z4 |
22386.x |
22386z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3^{4} \cdot 7^{2} \cdot 13^{4} \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.7 |
2B |
$12792$ |
$48$ |
$0$ |
$2.313277631$ |
$1$ |
|
$2$ |
$258048$ |
$1.935724$ |
$285311789321435384726737/594905980032$ |
$[1, 0, 0, -1371509, -618338655]$ |
\(y^2+xy=x^3-1371509x-618338655\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.3, 164.12.0.?, 312.24.0.?, $\ldots$ |
$[(2746, 126391)]$ |
22386.x2 |
22386z3 |
22386.x |
22386z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{7} \cdot 3 \cdot 7^{8} \cdot 13 \cdot 41^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.8 |
2B |
$12792$ |
$48$ |
$0$ |
$0.578319407$ |
$1$ |
|
$4$ |
$258048$ |
$1.935724$ |
$150062694782364873937/81319429594096512$ |
$[1, 0, 0, -110709, -3584607]$ |
\(y^2+xy=x^3-110709x-3584607\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.4, 156.12.0.?, 312.24.0.?, $\ldots$ |
$[(-298, 1871)]$ |
22386.x3 |
22386z2 |
22386.x |
22386z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{14} \cdot 3^{2} \cdot 7^{4} \cdot 13^{2} \cdot 41^{2} \) |
$1$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.1 |
2Cs |
$12792$ |
$48$ |
$0$ |
$1.156638815$ |
$1$ |
|
$10$ |
$129024$ |
$1.589151$ |
$69728644177980628177/100579396829184$ |
$[1, 0, 0, -85749, -9659871]$ |
\(y^2+xy=x^3-85749x-9659871\) |
2.6.0.a.1, 8.12.0-2.a.1.1, 156.12.0.?, 164.12.0.?, 312.24.0.?, $\ldots$ |
$[(-166, -1)]$ |
22386.x4 |
22386z1 |
22386.x |
22386z |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{28} \cdot 3 \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.12.0.12 |
2B |
$12792$ |
$48$ |
$0$ |
$2.313277631$ |
$1$ |
|
$3$ |
$64512$ |
$1.242579$ |
$-6208503067778257/21032186413056$ |
$[1, 0, 0, -3829, -239071]$ |
\(y^2+xy=x^3-3829x-239071\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0-4.c.1.2, 156.12.0.?, 164.12.0.?, $\ldots$ |
$[(658, 16471)]$ |
22386.y1 |
22386w1 |
22386.y |
22386w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{7} \cdot 3^{7} \cdot 7^{7} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/7\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.1 |
7B.1.1 |
$89544$ |
$96$ |
$2$ |
$1$ |
$1$ |
|
$6$ |
$131712$ |
$1.682590$ |
$-418288977642645996769/122877464621184$ |
$[1, 0, 0, -155806, 23664452]$ |
\(y^2+xy=x^3-155806x+23664452\) |
7.48.0-7.a.1.2, 89544.96.2.? |
$[]$ |
22386.y2 |
22386w2 |
22386.y |
22386w |
$2$ |
$7$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7 \cdot 13^{7} \cdot 41^{7} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$7$ |
7.48.0.5 |
7B.1.3 |
$89544$ |
$96$ |
$2$ |
$1$ |
$49$ |
$7$ |
$0$ |
$921984$ |
$2.655544$ |
$71473535169369644529791/513262758348672548034$ |
$[1, 0, 0, 864584, -1045089598]$ |
\(y^2+xy=x^3+864584x-1045089598\) |
7.48.0-7.a.2.2, 89544.96.2.? |
$[]$ |
22386.z1 |
22386u1 |
22386.z |
22386u |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2 \cdot 3 \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6888$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$8928$ |
$0.378021$ |
$-81436110288625/14259882$ |
$[1, 0, 0, -903, 10371]$ |
\(y^2+xy=x^3-903x+10371\) |
6888.2.0.? |
$[]$ |
22386.ba1 |
22386ba4 |
22386.ba |
22386ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{3} \cdot 41^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$89544$ |
$96$ |
$1$ |
$10.72335927$ |
$1$ |
|
$0$ |
$124416$ |
$1.700817$ |
$24191354664255948625/3068177831138238$ |
$[1, 0, 0, -60253, -5035357]$ |
\(y^2+xy=x^3-60253x-5035357\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 312.48.0.?, 1148.6.0.?, $\ldots$ |
$[(31591/10, 2577481/10)]$ |
22386.ba2 |
22386ba2 |
22386.ba |
22386ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{3} \cdot 3^{3} \cdot 7^{6} \cdot 13 \cdot 41^{2} \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$89544$ |
$96$ |
$1$ |
$3.574453091$ |
$1$ |
|
$6$ |
$41472$ |
$1.151510$ |
$350082141630936625/555332456952$ |
$[1, 0, 0, -14683, 682649]$ |
\(y^2+xy=x^3-14683x+682649\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 312.48.0.?, 1148.6.0.?, $\ldots$ |
$[(140, 1103)]$ |
22386.ba3 |
22386ba1 |
22386.ba |
22386ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{6} \cdot 3^{6} \cdot 7^{3} \cdot 13^{2} \cdot 41 \) |
$1$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$89544$ |
$96$ |
$1$ |
$1.787226545$ |
$1$ |
|
$13$ |
$20736$ |
$0.804936$ |
$-29403487464625/110884842432$ |
$[1, 0, 0, -643, 17153]$ |
\(y^2+xy=x^3-643x+17153\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 6.24.0-6.a.1.4, 312.48.0.?, 574.6.0.?, $\ldots$ |
$[(16, 97)]$ |
22386.ba4 |
22386ba3 |
22386.ba |
22386ba |
$4$ |
$6$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( - 2^{2} \cdot 3^{2} \cdot 7 \cdot 13^{6} \cdot 41^{3} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
2.3.0.1, 3.8.0.2 |
2B, 3B.1.2 |
$89544$ |
$96$ |
$1$ |
$5.361679637$ |
$1$ |
|
$3$ |
$62208$ |
$1.354242$ |
$20020616659055375/83832462778428$ |
$[1, 0, 0, 5657, -408475]$ |
\(y^2+xy=x^3+5657x-408475\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 6.24.0-6.a.1.2, 312.48.0.?, 574.6.0.?, $\ldots$ |
$[(250, 3955)]$ |
22386.bb1 |
22386y1 |
22386.bb |
22386y |
$1$ |
$1$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{7} \cdot 7^{2} \cdot 13 \cdot 41 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
|
|
|
$6396$ |
$2$ |
$0$ |
$0.121797805$ |
$1$ |
|
$8$ |
$16128$ |
$0.684265$ |
$2337862343841361/913886064$ |
$[1, 0, 0, -2765, 55713]$ |
\(y^2+xy=x^3-2765x+55713\) |
6396.2.0.? |
$[(28, 7)]$ |
22386.bc1 |
22386x4 |
22386.bc |
22386x |
$4$ |
$4$ |
\( 2 \cdot 3 \cdot 7 \cdot 13 \cdot 41 \) |
\( 2^{4} \cdot 3^{4} \cdot 7^{4} \cdot 13 \cdot 41 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
4.6.0.1 |
2B |
$29848$ |
$48$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$344064$ |
$2.040569$ |
$5529895044677685547285393/1658533968$ |
$[1, 0, 0, -3684097, -2722034887]$ |
\(y^2+xy=x^3-3684097x-2722034887\) |
2.3.0.a.1, 4.6.0.c.1, 52.12.0-4.c.1.1, 56.12.0-4.c.1.5, 164.12.0.?, $\ldots$ |
$[]$ |