| 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 |
| 102921.a1 |
102921c1 |
102921.a |
102921c |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3^{7} \cdot 7^{6} \cdot 13^{11} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2262$ |
$2$ |
$0$ |
$11.93534030$ |
$1$ |
|
$0$ |
$10725120$ |
$2.932449$ |
$2704955308444823552/2770459351707411$ |
$0.97000$ |
$5.01063$ |
$[0, -1, 1, 4905676, -3671062042]$ |
\(y^2+y=x^3-x^2+4905676x-3671062042\) |
2262.2.0.? |
$[(1216534/31, 2013045759/31)]$ |
| 102921.b1 |
102921j1 |
102921.b |
102921j |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{8} \cdot 7^{2} \cdot 13^{2} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.232699050$ |
$1$ |
|
$22$ |
$138240$ |
$0.620245$ |
$2263495217152/9323181$ |
$0.87794$ |
$2.90926$ |
$[0, 1, 1, -1512, 22052]$ |
\(y^2+y=x^3+x^2-1512x+22052\) |
58.2.0.a.1 |
$[(18, 31), (81, 661)]$ |
| 102921.c1 |
102921b2 |
102921.c |
102921b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{18} \cdot 7 \cdot 13^{9} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$3.693296800$ |
$1$ |
|
$4$ |
$8128512$ |
$3.023125$ |
$38144008172870940313/5010795487978371$ |
$0.95699$ |
$5.23991$ |
$[1, 1, 1, -11851889, 13802702636]$ |
\(y^2+xy+y=x^3+x^2-11851889x+13802702636\) |
2.3.0.a.1, 348.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(2618, 25646)]$ |
| 102921.c2 |
102921b1 |
102921.c |
102921b |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3^{9} \cdot 7^{2} \cdot 13^{12} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$7.386593601$ |
$1$ |
|
$3$ |
$4064256$ |
$2.676552$ |
$34246752505800407/135003641878287$ |
$0.94593$ |
$4.78455$ |
$[1, 1, 1, 1143366, 1134928062]$ |
\(y^2+xy+y=x^3+x^2+1143366x+1134928062\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(-576, 17189)]$ |
| 102921.d1 |
102921f2 |
102921.d |
102921f |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{2} \cdot 7 \cdot 13^{6} \cdot 29^{2} \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$3.095414968$ |
$1$ |
|
$16$ |
$122880$ |
$1.004740$ |
$4956477625/52983$ |
$0.86867$ |
$3.26760$ |
$[1, 1, 1, -6003, 174858]$ |
\(y^2+xy+y=x^3+x^2-6003x+174858\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[(83, 465), (48, -10)]$ |
| 102921.d2 |
102921f1 |
102921.d |
102921f |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3 \cdot 7^{2} \cdot 13^{6} \cdot 29 \) |
$2$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$3.095414968$ |
$1$ |
|
$11$ |
$61440$ |
$0.658166$ |
$-15625/4263$ |
$0.95144$ |
$2.70361$ |
$[1, 1, 1, -88, 6872]$ |
\(y^2+xy+y=x^3+x^2-88x+6872\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[(-8, 88), (-20, 43)]$ |
| 102921.e1 |
102921n2 |
102921.e |
102921n |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{2} \cdot 7 \cdot 13^{8} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1419264$ |
$1.976507$ |
$27752351856337081/8954127$ |
$0.95582$ |
$4.61385$ |
$[1, 0, 0, -1065971, 423521058]$ |
\(y^2+xy=x^3-1065971x+423521058\) |
2.3.0.a.1, 28.6.0.a.1, 348.6.0.?, 2436.12.0.? |
$[]$ |
| 102921.e2 |
102921n1 |
102921.e |
102921n |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3 \cdot 7^{2} \cdot 13^{10} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$2436$ |
$12$ |
$0$ |
$1$ |
$4$ |
$2$ |
$1$ |
$709632$ |
$1.629934$ |
$-6688239997321/121755543$ |
$0.90445$ |
$3.89474$ |
$[1, 0, 0, -66336, 6673263]$ |
\(y^2+xy=x^3-66336x+6673263\) |
2.3.0.a.1, 28.6.0.b.1, 174.6.0.?, 2436.12.0.? |
$[]$ |
| 102921.f1 |
102921a1 |
102921.f |
102921a |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{16} \cdot 7^{2} \cdot 13^{8} \cdot 29^{5} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$3.191641343$ |
$1$ |
|
$0$ |
$17971200$ |
$3.598221$ |
$99358370463056134144/43263947711229021$ |
$1.05890$ |
$5.76733$ |
$[0, -1, 1, -90159021, 163980248330]$ |
\(y^2+y=x^3-x^2-90159021x+163980248330\) |
58.2.0.a.1 |
$[(146637/2, 54331637/2)]$ |
| 102921.g1 |
102921h1 |
102921.g |
102921h |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{10} \cdot 7^{4} \cdot 13^{4} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.825029737$ |
$1$ |
|
$4$ |
$261120$ |
$1.391891$ |
$7990463463424/4111522821$ |
$0.97997$ |
$3.46301$ |
$[0, -1, 1, -12731, 188333]$ |
\(y^2+y=x^3-x^2-12731x+188333\) |
58.2.0.a.1 |
$[(-73, 850)]$ |
| 102921.h1 |
102921d1 |
102921.h |
102921d |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{10} \cdot 7^{4} \cdot 13^{10} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3394560$ |
$2.674366$ |
$7990463463424/4111522821$ |
$0.97997$ |
$4.79641$ |
$[0, -1, 1, -2151595, 405161850]$ |
\(y^2+y=x^3-x^2-2151595x+405161850\) |
58.2.0.a.1 |
$[]$ |
| 102921.i1 |
102921g1 |
102921.i |
102921g |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{16} \cdot 7^{2} \cdot 13^{2} \cdot 29^{5} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1382400$ |
$2.315746$ |
$99358370463056134144/43263947711229021$ |
$1.05890$ |
$4.43393$ |
$[0, -1, 1, -533485, 74802405]$ |
\(y^2+y=x^3-x^2-533485x+74802405\) |
58.2.0.a.1 |
$[]$ |
| 102921.j1 |
102921k1 |
102921.j |
102921k |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{10} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$4.669751094$ |
$1$ |
|
$2$ |
$389376$ |
$1.631798$ |
$44302336/12789$ |
$0.83795$ |
$3.74780$ |
$[0, 1, 1, -38081, -2037616]$ |
\(y^2+y=x^3+x^2-38081x-2037616\) |
58.2.0.a.1 |
$[(-122, 898)]$ |
| 102921.k1 |
102921i1 |
102921.k |
102921i |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{2} \cdot 7^{2} \cdot 13^{4} \cdot 29 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$0.768204490$ |
$1$ |
|
$6$ |
$29952$ |
$0.349322$ |
$44302336/12789$ |
$0.83795$ |
$2.41440$ |
$[0, 1, 1, -225, -997]$ |
\(y^2+y=x^3+x^2-225x-997\) |
58.2.0.a.1 |
$[(-9, 19), (27, 115)]$ |
| 102921.l1 |
102921e4 |
102921.l |
102921e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{3} \cdot 7^{2} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$126672$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$3538944$ |
$2.573135$ |
$947531277805646290177/38367$ |
$1.01996$ |
$5.51825$ |
$[1, 1, 0, -34581459, 78258791538]$ |
\(y^2+xy=x^3+x^2-34581459x+78258791538\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 48.24.0.e.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 102921.l2 |
102921e6 |
102921.l |
102921e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{24} \cdot 7 \cdot 13^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$126672$ |
$192$ |
$1$ |
$1$ |
$16$ |
$2$ |
$0$ |
$7077888$ |
$2.919708$ |
$8471112631466271697/1662662681263647$ |
$1.00847$ |
$5.10954$ |
$[1, 1, 0, -7177264, -6019352867]$ |
\(y^2+xy=x^3+x^2-7177264x-6019352867\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 28.12.0.h.1, 48.24.0.e.2, $\ldots$ |
$[]$ |
| 102921.l3 |
102921e3 |
102921.l |
102921e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{12} \cdot 7^{2} \cdot 13^{6} \cdot 29^{4} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$63336$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$3538944$ |
$2.573135$ |
$244883173420511137/18418027974129$ |
$1.08831$ |
$4.80251$ |
$[1, 1, 0, -2202749, 1172800920]$ |
\(y^2+xy=x^3+x^2-2202749x+1172800920\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.1, 28.24.0.c.1, 52.24.0-4.b.1.1, $\ldots$ |
$[]$ |
| 102921.l4 |
102921e2 |
102921.l |
102921e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{6} \cdot 7^{4} \cdot 13^{6} \cdot 29^{2} \) |
$0$ |
$\Z/2\Z\oplus\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.12.0.3 |
2Cs |
$63336$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$2$ |
$1769472$ |
$2.226562$ |
$231331938231569617/1472026689$ |
$0.98909$ |
$4.79758$ |
$[1, 1, 0, -2161344, 1222114275]$ |
\(y^2+xy=x^3+x^2-2161344x+1222114275\) |
2.6.0.a.1, 4.12.0.b.1, 24.24.0.i.2, 52.24.0-4.b.1.3, 56.24.0.m.1, $\ldots$ |
$[]$ |
| 102921.l5 |
102921e1 |
102921.l |
102921e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3^{3} \cdot 7^{8} \cdot 13^{6} \cdot 29 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$126672$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$1$ |
$884736$ |
$1.879990$ |
$-53297461115137/4513839183$ |
$0.94722$ |
$4.08372$ |
$[1, 1, 0, -132499, 19820728]$ |
\(y^2+xy=x^3+x^2-132499x+19820728\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 24.24.0.bz.1, 52.12.0-4.c.1.2, $\ldots$ |
$[]$ |
| 102921.l6 |
102921e5 |
102921.l |
102921e |
$6$ |
$8$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3^{6} \cdot 7 \cdot 13^{6} \cdot 29^{8} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.12.0.5 |
2B |
$126672$ |
$192$ |
$1$ |
$1$ |
$4$ |
$2$ |
$0$ |
$7077888$ |
$2.919708$ |
$215015459663151503/2552757445339983$ |
$1.02586$ |
$5.04868$ |
$[1, 1, 0, 2109286, 5209728087]$ |
\(y^2+xy=x^3+x^2+2109286x+5209728087\) |
2.3.0.a.1, 4.6.0.c.1, 8.12.0.n.1, 14.6.0.b.1, 24.24.0.bz.2, $\ldots$ |
$[]$ |
| 102921.m1 |
102921l2 |
102921.m |
102921l |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{6} \cdot 7 \cdot 13^{7} \cdot 29^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$1.942716990$ |
$1$ |
|
$4$ |
$516096$ |
$1.616972$ |
$11410380159697/55791099$ |
$0.95442$ |
$3.93834$ |
$[1, 0, 1, -79265, 8546501]$ |
\(y^2+xy+y=x^3-79265x+8546501\) |
2.3.0.a.1, 348.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(27, 2521)]$ |
| 102921.m2 |
102921l1 |
102921.m |
102921l |
$2$ |
$2$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3^{3} \cdot 7^{2} \cdot 13^{8} \cdot 29 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
2.3.0.1 |
2B |
$31668$ |
$12$ |
$0$ |
$3.885433981$ |
$1$ |
|
$3$ |
$258048$ |
$1.270399$ |
$-304821217/6484023$ |
$0.83438$ |
$3.34059$ |
$[1, 0, 1, -2370, 272599]$ |
\(y^2+xy+y=x^3-2370x+272599\) |
2.3.0.a.1, 174.6.0.?, 364.6.0.?, 31668.12.0.? |
$[(23, 468)]$ |
| 102921.n1 |
102921o1 |
102921.n |
102921o |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( - 3^{13} \cdot 7^{2} \cdot 13^{7} \cdot 29 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$2262$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1467648$ |
$1.970566$ |
$162413858816/29451928779$ |
$0.93838$ |
$4.06761$ |
$[0, 1, 1, 19210, -18104953]$ |
\(y^2+y=x^3+x^2+19210x-18104953\) |
2262.2.0.? |
$[]$ |
| 102921.o1 |
102921m1 |
102921.o |
102921m |
$1$ |
$1$ |
\( 3 \cdot 7 \cdot 13^{2} \cdot 29 \) |
\( 3^{8} \cdot 7^{2} \cdot 13^{8} \cdot 29 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$58$ |
$2$ |
$0$ |
$1.057806744$ |
$1$ |
|
$0$ |
$1797120$ |
$1.902719$ |
$2263495217152/9323181$ |
$0.87794$ |
$4.24266$ |
$[0, 1, 1, -255584, 49471049]$ |
\(y^2+y=x^3+x^2-255584x+49471049\) |
58.2.0.a.1 |
$[(1069/2, 4559/2)]$ |
