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 |
42.a2 |
42a5 |
42.a |
42a |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2$ |
8.96.0.164 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32$ |
$0.535675$ |
$84448510979617/933897762$ |
$[1, 1, 1, -914, -10915]$ |
\(y^2+xy+y=x^3+x^2-914x-10915\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.4, 112.192.1.? |
$[]$ |
126.a2 |
126b5 |
126.a |
126b |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$256$ |
$1.084980$ |
$84448510979617/933897762$ |
$[1, -1, 0, -8226, 286474]$ |
\(y^2+xy=x^3-x^2-8226x+286474\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.1, 24.96.0-8.p.1.1, $\ldots$ |
$[]$ |
294.g2 |
294c5 |
294.g |
294c |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.245 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$1536$ |
$1.508631$ |
$84448510979617/933897762$ |
$[1, 0, 0, -44787, 3609423]$ |
\(y^2+xy=x^3-44787x+3609423\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.2, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
336.d2 |
336d5 |
336.d |
336d |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/8\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.157 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$7$ |
$768$ |
$1.228823$ |
$84448510979617/933897762$ |
$[0, 1, 0, -14624, 669300]$ |
\(y^2=x^3+x^2-14624x+669300\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.2, 112.192.1.? |
$[]$ |
882.b2 |
882e5 |
882.b |
882e |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$4.425848046$ |
$1$ |
|
$2$ |
$12288$ |
$2.057938$ |
$84448510979617/933897762$ |
$[1, -1, 0, -403083, -97454421]$ |
\(y^2+xy=x^3-x^2-403083x-97454421\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 48.96.0-8.p.1.3, 84.12.0.?, $\ldots$ |
$[(-339, 552)]$ |
1008.j2 |
1008l5 |
1008.j |
1008l |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \) |
\( 2^{13} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.778128$ |
$84448510979617/933897762$ |
$[0, 0, 0, -131619, -18202718]$ |
\(y^2=x^3-131619x-18202718\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.2, 24.96.0-8.p.1.2, $\ldots$ |
$[]$ |
1050.i2 |
1050h5 |
1050.i |
1050h |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$0.348773658$ |
$1$ |
|
$10$ |
$4096$ |
$1.340393$ |
$84448510979617/933897762$ |
$[1, 0, 1, -22851, -1318652]$ |
\(y^2+xy+y=x^3-22851x-1318652\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.1, 40.96.0-8.p.1.4, $\ldots$ |
$[(-82, 114)]$ |
1344.i2 |
1344m5 |
1344.i |
1344m |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{8} \) |
$1$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.161 |
2B |
$112$ |
$192$ |
$1$ |
$1.141519658$ |
$1$ |
|
$9$ |
$6144$ |
$1.575396$ |
$84448510979617/933897762$ |
$[0, -1, 0, -58497, 5412897]$ |
\(y^2=x^3-x^2-58497x+5412897\) |
2.3.0.a.1, 4.12.0-4.c.1.1, 8.96.0-8.p.1.3, 112.192.1.? |
$[(123, 252)]$ |
1344.q2 |
1344g5 |
1344.q |
1344g |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7 \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.96.0.168 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$6144$ |
$1.575396$ |
$84448510979617/933897762$ |
$[0, 1, 0, -58497, -5412897]$ |
\(y^2=x^3+x^2-58497x-5412897\) |
2.3.0.a.1, 4.12.0-4.c.1.2, 8.96.0-8.p.1.1, 112.192.1.? |
$[]$ |
2352.l2 |
2352o5 |
2352.l |
2352o |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.247 |
2B |
$112$ |
$192$ |
$1$ |
$2.310811814$ |
$1$ |
|
$3$ |
$36864$ |
$2.201778$ |
$84448510979617/933897762$ |
$[0, -1, 0, -716592, -231003072]$ |
\(y^2=x^3-x^2-716592x-231003072\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.4, 28.12.0-4.c.1.2, $\ldots$ |
$[(-464, 1176)]$ |
3150.bo2 |
3150bl5 |
3150.bo |
3150bl |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$32768$ |
$1.889700$ |
$84448510979617/933897762$ |
$[1, -1, 1, -205655, 35603597]$ |
\(y^2+xy+y=x^3-x^2-205655x+35603597\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 60.12.0-4.c.1.1, 112.96.1.?, $\ldots$ |
$[]$ |
4032.e2 |
4032i5 |
4032.e |
4032i |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$2.124702$ |
$84448510979617/933897762$ |
$[0, 0, 0, -526476, 145621744]$ |
\(y^2=x^3-526476x+145621744\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.1, 24.96.0-8.p.1.4, $\ldots$ |
$[]$ |
4032.m2 |
4032bl5 |
4032.m |
4032bl |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$49152$ |
$2.124702$ |
$84448510979617/933897762$ |
$[0, 0, 0, -526476, -145621744]$ |
\(y^2=x^3-526476x-145621744\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 12.12.0-4.c.1.2, 24.96.0-8.p.1.3, $\ldots$ |
$[]$ |
5082.d2 |
5082i5 |
5082.d |
5082i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1232$ |
$192$ |
$1$ |
$0.528808697$ |
$1$ |
|
$8$ |
$40960$ |
$1.734623$ |
$84448510979617/933897762$ |
$[1, 1, 0, -110596, 13974646]$ |
\(y^2+xy=x^3+x^2-110596x+13974646\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 44.12.0-4.c.1.1, 88.96.0.?, $\ldots$ |
$[(-5, 3814)]$ |
7056.k2 |
7056by5 |
7056.k |
7056by |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{10} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.751083$ |
$84448510979617/933897762$ |
$[0, 0, 0, -6449331, 6243532274]$ |
\(y^2=x^3-6449331x+6243532274\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 48.96.0-8.p.1.4, 84.12.0.?, $\ldots$ |
$[]$ |
7098.f2 |
7098b5 |
7098.f |
7098b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1456$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$61440$ |
$1.818150$ |
$84448510979617/933897762$ |
$[1, 1, 0, -154469, -23207517]$ |
\(y^2+xy=x^3+x^2-154469x-23207517\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 52.12.0-4.c.1.1, 104.96.0.?, $\ldots$ |
$[]$ |
7350.f2 |
7350i5 |
7350.f |
7350i |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{4} \cdot 5^{6} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$196608$ |
$2.313351$ |
$84448510979617/933897762$ |
$[1, 1, 0, -1119675, 451177875]$ |
\(y^2+xy=x^3+x^2-1119675x+451177875\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[]$ |
8400.k2 |
8400bl5 |
8400.k |
8400bl |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$98304$ |
$2.033543$ |
$84448510979617/933897762$ |
$[0, -1, 0, -365608, 84393712]$ |
\(y^2=x^3-x^2-365608x+84393712\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.2, 40.96.0-8.p.1.2, $\ldots$ |
$[]$ |
9408.n2 |
9408p5 |
9408.n |
9408p |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.248 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.548351$ |
$84448510979617/933897762$ |
$[0, -1, 0, -2866369, 1850890945]$ |
\(y^2=x^3-x^2-2866369x+1850890945\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.3, 28.12.0-4.c.1.1, $\ldots$ |
$[]$ |
9408.bw2 |
9408db5 |
9408.bw |
9408db |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{4} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
16.96.0.246 |
2B |
$112$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$294912$ |
$2.548351$ |
$84448510979617/933897762$ |
$[0, 1, 0, -2866369, -1850890945]$ |
\(y^2=x^3+x^2-2866369x-1850890945\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 16.96.0-8.p.1.1, 28.12.0-4.c.1.2, $\ldots$ |
$[]$ |
12138.bc2 |
12138bb5 |
12138.bc |
12138bb |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1904$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$163840$ |
$1.952282$ |
$84448510979617/933897762$ |
$[1, 0, 0, -264152, -51775458]$ |
\(y^2+xy=x^3-264152x-51775458\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 68.12.0-4.c.1.1, 112.96.1.?, $\ldots$ |
$[]$ |
15162.j2 |
15162l5 |
15162.j |
15162l |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 19^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$2128$ |
$192$ |
$1$ |
$2.113855077$ |
$1$ |
|
$4$ |
$221184$ |
$2.007893$ |
$84448510979617/933897762$ |
$[1, 0, 1, -329962, 72225074]$ |
\(y^2+xy+y=x^3-329962x+72225074\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 76.12.0.?, 112.96.1.?, $\ldots$ |
$[(448, 3566)]$ |
15246.bo2 |
15246bs5 |
15246.bo |
15246bs |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 11^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$3696$ |
$192$ |
$1$ |
$6.987544015$ |
$1$ |
|
$0$ |
$327680$ |
$2.283928$ |
$84448510979617/933897762$ |
$[1, -1, 1, -995369, -378310809]$ |
\(y^2+xy+y=x^3-x^2-995369x-378310809\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 132.12.0.?, $\ldots$ |
$[(9615/2, 833751/2)]$ |
21294.bu2 |
21294cm6 |
21294.bu |
21294cm |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 13^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 13^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4368$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$491520$ |
$2.367455$ |
$84448510979617/933897762$ |
$[1, -1, 1, -1390226, 625212735]$ |
\(y^2+xy+y=x^3-x^2-1390226x+625212735\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 156.12.0.?, $\ldots$ |
$[]$ |
22050.fn2 |
22050eq6 |
22050.fn |
22050eq |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7^{2} \) |
\( 2 \cdot 3^{10} \cdot 5^{6} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1680$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1572864$ |
$2.862656$ |
$84448510979617/933897762$ |
$[1, -1, 1, -10077080, -12191879703]$ |
\(y^2+xy+y=x^3-x^2-10077080x-12191879703\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 240.96.0.?, $\ldots$ |
$[]$ |
22218.z2 |
22218z6 |
22218.z |
22218z |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$2576$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$360448$ |
$2.103420$ |
$84448510979617/933897762$ |
$[1, 1, 1, -483517, 127965473]$ |
\(y^2+xy+y=x^3+x^2-483517x+127965473\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 92.12.0.?, 112.96.1.?, $\ldots$ |
$[]$ |
25200.i2 |
25200eb6 |
25200.i |
25200eb |
$6$ |
$8$ |
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{13} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1680$ |
$192$ |
$1$ |
$4.806703729$ |
$1$ |
|
$5$ |
$786432$ |
$2.582848$ |
$84448510979617/933897762$ |
$[0, 0, 0, -3290475, -2275339750]$ |
\(y^2=x^3-3290475x-2275339750\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 60.12.0-4.c.1.2, 112.96.1.?, $\ldots$ |
$[(-1121, 2142)]$ |
28224.eu2 |
28224cb6 |
28224.eu |
28224cb |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{14} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$23.51863920$ |
$1$ |
|
$1$ |
$2359296$ |
$3.097656$ |
$84448510979617/933897762$ |
$[0, 0, 0, -25797324, -49948258192]$ |
\(y^2=x^3-25797324x-49948258192\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 48.96.0-8.p.1.2, 84.12.0.?, $\ldots$ |
$[(-135333239576/6985, 5566361600708532/6985)]$ |
28224.fm2 |
28224ft6 |
28224.fm |
28224ft |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 7^{2} \) |
\( 2^{19} \cdot 3^{10} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$336$ |
$192$ |
$1$ |
$1$ |
$9$ |
$3$ |
$1$ |
$2359296$ |
$3.097656$ |
$84448510979617/933897762$ |
$[0, 0, 0, -25797324, 49948258192]$ |
\(y^2=x^3-25797324x+49948258192\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 48.96.0-8.p.1.1, 84.12.0.?, $\ldots$ |
$[]$ |
33600.dr2 |
33600ba6 |
33600.dr |
33600ba |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$786432$ |
$2.380116$ |
$84448510979617/933897762$ |
$[0, -1, 0, -1462433, -673687263]$ |
\(y^2=x^3-x^2-1462433x-673687263\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.1, 40.96.0-8.p.1.1, $\ldots$ |
$[]$ |
33600.dz2 |
33600gi6 |
33600.dz |
33600gi |
$6$ |
$8$ |
\( 2^{6} \cdot 3 \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{4} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$3.330013416$ |
$1$ |
|
$5$ |
$786432$ |
$2.380116$ |
$84448510979617/933897762$ |
$[0, 1, 0, -1462433, 673687263]$ |
\(y^2=x^3+x^2-1462433x+673687263\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 20.12.0-4.c.1.2, 40.96.0-8.p.1.3, $\ldots$ |
$[(853, 6900)]$ |
35322.n2 |
35322p6 |
35322.n |
35322p |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 29^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 29^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$3248$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$802816$ |
$2.219322$ |
$84448510979617/933897762$ |
$[1, 0, 1, -768692, -256977304]$ |
\(y^2+xy+y=x^3-768692x-256977304\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 116.12.0.?, $\ldots$ |
$[]$ |
35574.bj2 |
35574bg6 |
35574.bj |
35574bg |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{14} \cdot 11^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1232$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1966080$ |
$2.707577$ |
$84448510979617/933897762$ |
$[1, 0, 1, -5419230, -4809561242]$ |
\(y^2+xy+y=x^3-5419230x-4809561242\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 176.96.0.?, $\ldots$ |
$[]$ |
36414.k2 |
36414bi6 |
36414.k |
36414bi |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 17^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$5712$ |
$192$ |
$1$ |
$1.007636228$ |
$1$ |
|
$6$ |
$1310720$ |
$2.501587$ |
$84448510979617/933897762$ |
$[1, -1, 0, -2377368, 1397937366]$ |
\(y^2+xy=x^3-x^2-2377368x+1397937366\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 204.12.0.?, $\ldots$ |
$[(693, 8757)]$ |
40362.bb2 |
40362bc6 |
40362.bb |
40362bc |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 31^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 31^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$3472$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$983040$ |
$2.252670$ |
$84448510979617/933897762$ |
$[1, 0, 0, -878374, 313744610]$ |
\(y^2+xy=x^3-878374x+313744610\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 124.12.0.?, $\ldots$ |
$[]$ |
40656.cd2 |
40656co6 |
40656.cd |
40656co |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{8} \cdot 11^{6} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1232$ |
$192$ |
$1$ |
$8.814841952$ |
$1$ |
|
$11$ |
$983040$ |
$2.427769$ |
$84448510979617/933897762$ |
$[0, 1, 0, -1769544, -897916428]$ |
\(y^2=x^3+x^2-1769544x-897916428\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 44.12.0-4.c.1.2, 88.96.0.?, $\ldots$ |
$[(-708, 726), (2196, 76230)]$ |
45486.bl2 |
45486bh6 |
45486.bl |
45486bh |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 19^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 19^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$6384$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$1769472$ |
$2.557201$ |
$84448510979617/933897762$ |
$[1, -1, 1, -2969654, -1950077005]$ |
\(y^2+xy+y=x^3-x^2-2969654x-1950077005\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 228.12.0.?, $\ldots$ |
$[]$ |
49686.bd2 |
49686bk6 |
49686.bd |
49686bk |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 13^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{14} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1456$ |
$192$ |
$1$ |
$3.685522538$ |
$1$ |
|
$4$ |
$2949120$ |
$2.791103$ |
$84448510979617/933897762$ |
$[1, 0, 1, -7569007, 7937471336]$ |
\(y^2+xy+y=x^3-7569007x+7937471336\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 208.96.0.?, $\ldots$ |
$[(1756, 6980)]$ |
56784.cq2 |
56784cn6 |
56784.cq |
56784cn |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 13^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{8} \cdot 13^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1456$ |
$192$ |
$1$ |
$4.470275186$ |
$1$ |
|
$3$ |
$1474560$ |
$2.511295$ |
$84448510979617/933897762$ |
$[0, 1, 0, -2471512, 1480338068]$ |
\(y^2=x^3+x^2-2471512x+1480338068\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 52.12.0-4.c.1.2, 104.96.0.?, $\ldots$ |
$[(5204, 359970)]$ |
57498.f2 |
57498b6 |
57498.f |
57498b |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 37^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 37^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4144$ |
$192$ |
$1$ |
$10.21674803$ |
$1$ |
|
$0$ |
$1548288$ |
$2.341133$ |
$84448510979617/933897762$ |
$[1, 1, 0, -1251294, -534099078]$ |
\(y^2+xy=x^3+x^2-1251294x-534099078\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 148.12.0.?, $\ldots$ |
$[(727819/21, 395976748/21)]$ |
58800.jt2 |
58800ix6 |
58800.jt |
58800ix |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 5^{2} \cdot 7^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 5^{6} \cdot 7^{14} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$560$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$4718592$ |
$3.006496$ |
$84448510979617/933897762$ |
$[0, 1, 0, -17914808, -28911213612]$ |
\(y^2=x^3+x^2-17914808x-28911213612\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 80.96.0.?, 112.96.1.?, $\ldots$ |
$[]$ |
66654.j2 |
66654w6 |
66654.j |
66654w |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 23^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 23^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$7728$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2883584$ |
$2.652729$ |
$84448510979617/933897762$ |
$[1, -1, 0, -4351653, -3459419429]$ |
\(y^2+xy=x^3-x^2-4351653x-3459419429\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 276.12.0.?, $\ldots$ |
$[]$ |
70602.bf2 |
70602bn6 |
70602.bf |
70602bn |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 41^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 41^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4592$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2211840$ |
$2.392460$ |
$84448510979617/933897762$ |
$[1, 0, 0, -1536469, -726140497]$ |
\(y^2+xy=x^3-1536469x-726140497\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 164.12.0.?, $\ldots$ |
$[]$ |
77658.t2 |
77658t6 |
77658.t |
77658t |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 43^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 43^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$4816$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$0$ |
$2580480$ |
$2.416275$ |
$84448510979617/933897762$ |
$[1, 0, 1, -1690025, 837384338]$ |
\(y^2+xy+y=x^3-1690025x+837384338\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 172.12.0.?, $\ldots$ |
$[]$ |
84966.cv2 |
84966cz6 |
84966.cv |
84966cz |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7^{2} \cdot 17^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{14} \cdot 17^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1904$ |
$192$ |
$1$ |
$5.934848913$ |
$1$ |
|
$0$ |
$7864320$ |
$2.925236$ |
$84448510979617/933897762$ |
$[1, 1, 1, -12943449, 17746038645]$ |
\(y^2+xy+y=x^3+x^2-12943449x+17746038645\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 272.96.0.?, $\ldots$ |
$[(9077/4, 6566679/4)]$ |
92778.r2 |
92778m6 |
92778.r |
92778m |
$6$ |
$8$ |
\( 2 \cdot 3 \cdot 7 \cdot 47^{2} \) |
\( 2 \cdot 3^{4} \cdot 7^{8} \cdot 47^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$5264$ |
$192$ |
$1$ |
$10.96492041$ |
$1$ |
|
$0$ |
$3391488$ |
$2.460747$ |
$84448510979617/933897762$ |
$[1, 1, 1, -2019072, 1092828159]$ |
\(y^2+xy+y=x^3+x^2-2019072x+1092828159\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 188.12.0.?, $\ldots$ |
$[(-551669/42, 3060701393/42)]$ |
97104.bb2 |
97104bj6 |
97104.bb |
97104bj |
$6$ |
$8$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 17^{2} \) |
\( 2^{13} \cdot 3^{4} \cdot 7^{8} \cdot 17^{6} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1904$ |
$192$ |
$1$ |
$1$ |
$1$ |
|
$1$ |
$3932160$ |
$2.645428$ |
$84448510979617/933897762$ |
$[0, -1, 0, -4226432, 3313629312]$ |
\(y^2=x^3-x^2-4226432x+3313629312\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 68.12.0-4.c.1.2, 112.96.1.?, $\ldots$ |
$[]$ |
100800.hj2 |
100800lz6 |
100800.hj |
100800lz |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1680$ |
$192$ |
$1$ |
$11.54920601$ |
$1$ |
|
$1$ |
$6291456$ |
$2.929420$ |
$84448510979617/933897762$ |
$[0, 0, 0, -13161900, -18202718000]$ |
\(y^2=x^3-13161900x-18202718000\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 60.12.0-4.c.1.2, 112.96.1.?, $\ldots$ |
$[(-710235/19, 60139625/19)]$ |
100800.jq2 |
100800fu6 |
100800.jq |
100800fu |
$6$ |
$8$ |
\( 2^{6} \cdot 3^{2} \cdot 5^{2} \cdot 7 \) |
\( 2^{19} \cdot 3^{10} \cdot 5^{6} \cdot 7^{8} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$1680$ |
$192$ |
$1$ |
$1.715852737$ |
$1$ |
|
$7$ |
$6291456$ |
$2.929420$ |
$84448510979617/933897762$ |
$[0, 0, 0, -13161900, 18202718000]$ |
\(y^2=x^3-13161900x+18202718000\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 60.12.0-4.c.1.1, 112.96.1.?, $\ldots$ |
$[(1910, 5600)]$ |
105966.ce2 |
105966bu6 |
105966.ce |
105966bu |
$6$ |
$8$ |
\( 2 \cdot 3^{2} \cdot 7 \cdot 29^{2} \) |
\( 2 \cdot 3^{10} \cdot 7^{8} \cdot 29^{6} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.48.0.217 |
2B |
$9744$ |
$192$ |
$1$ |
$37.61049919$ |
$1$ |
|
$0$ |
$6422528$ |
$2.768627$ |
$84448510979617/933897762$ |
$[1, -1, 1, -6918224, 6938387201]$ |
\(y^2+xy+y=x^3-x^2-6918224x+6938387201\) |
2.3.0.a.1, 4.6.0.c.1, 8.48.0.p.1, 112.96.1.?, 348.12.0.?, $\ldots$ |
$[(626494633079897845/7316036, 481988526657346259012112197/7316036)]$ |