| 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 |
| 20328.h1 |
20328r1 |
20328.h |
20328r |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$44$ |
$16$ |
$0$ |
$5.384977862$ |
$1$ |
|
$2$ |
$337920$ |
$2.273468$ |
$50250332/194481$ |
$0.95893$ |
$5.07888$ |
$[0, -1, 0, 229376, -100918244]$ |
\(y^2=x^3-x^2+229376x-100918244\) |
4.8.0.b.1, 44.16.0-4.b.1.1 |
$[(12670, 1427076)]$ |
| 20328.i1 |
20328c1 |
20328.i |
20328c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$0.607869451$ |
$1$ |
|
$4$ |
$30720$ |
$1.074520$ |
$50250332/194481$ |
$0.95893$ |
$3.62851$ |
$[0, -1, 0, 1896, 75132]$ |
\(y^2=x^3-x^2+1896x+75132\) |
4.16.0-4.b.1.1 |
$[(-6, 252)]$ |
| 40656.dj1 |
40656w1 |
40656.dj |
40656w |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.16.0.2 |
|
$4$ |
$16$ |
$0$ |
$0.437371007$ |
$1$ |
|
$4$ |
$61440$ |
$1.074520$ |
$50250332/194481$ |
$0.95893$ |
$3.39152$ |
$[0, 1, 0, 1896, -75132]$ |
\(y^2=x^3+x^2+1896x-75132\) |
4.16.0-4.b.1.1 |
$[(216, 3234)]$ |
| 40656.dm1 |
40656bc1 |
40656.dm |
40656bc |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$44$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$675840$ |
$2.273468$ |
$50250332/194481$ |
$0.95893$ |
$4.74717$ |
$[0, 1, 0, 229376, 100918244]$ |
\(y^2=x^3+x^2+229376x+100918244\) |
4.8.0.b.1, 44.16.0-4.b.1.1 |
$[]$ |
| 60984.a1 |
60984bb1 |
60984.a |
60984bb |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$132$ |
$16$ |
$0$ |
$4.710320783$ |
$1$ |
|
$2$ |
$2703360$ |
$2.822773$ |
$50250332/194481$ |
$0.95893$ |
$5.17073$ |
$[0, 0, 0, 2064381, 2722728206]$ |
\(y^2=x^3+2064381x+2722728206\) |
4.8.0.b.1, 132.16.0.? |
$[(5503, 425124)]$ |
| 60984.d1 |
60984ck1 |
60984.d |
60984ck |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$0.459433269$ |
$1$ |
|
$6$ |
$245760$ |
$1.623825$ |
$50250332/194481$ |
$0.95893$ |
$3.86496$ |
$[0, 0, 0, 17061, -2045626]$ |
\(y^2=x^3+17061x-2045626\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(187, 2772)]$ |
| 121968.i1 |
121968bo1 |
121968.i |
121968bo |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$12$ |
$16$ |
$0$ |
$1.544666956$ |
$1$ |
|
$4$ |
$491520$ |
$1.623825$ |
$50250332/194481$ |
$0.95893$ |
$3.63621$ |
$[0, 0, 0, 17061, 2045626]$ |
\(y^2=x^3+17061x+2045626\) |
4.8.0.b.1, 12.16.0-4.b.1.1 |
$[(-61, 882)]$ |
| 121968.p1 |
121968cj1 |
121968.p |
121968cj |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$132$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5406720$ |
$2.822773$ |
$50250332/194481$ |
$0.95893$ |
$4.86470$ |
$[0, 0, 0, 2064381, -2722728206]$ |
\(y^2=x^3+2064381x-2722728206\) |
4.8.0.b.1, 132.16.0.? |
$[]$ |
| 142296.ci1 |
142296c1 |
142296.ci |
142296c |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$308$ |
$16$ |
$0$ |
$5.266776054$ |
$1$ |
|
$2$ |
$16220160$ |
$3.246422$ |
$50250332/194481$ |
$0.95893$ |
$5.22994$ |
$[0, 1, 0, 11239408, 34592478864]$ |
\(y^2=x^3+x^2+11239408x+34592478864\) |
4.8.0.b.1, 308.16.0.? |
$[(5728, 535668)]$ |
| 142296.cj1 |
142296bz1 |
142296.cj |
142296bz |
$1$ |
$1$ |
\( 2^{3} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{10} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$28$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1474560$ |
$2.047474$ |
$50250332/194481$ |
$0.95893$ |
$4.01742$ |
$[0, 1, 0, 92888, -25956064]$ |
\(y^2=x^3+x^2+92888x-25956064\) |
4.8.0.b.1, 28.16.0-4.b.1.1 |
$[]$ |
| 162624.i1 |
162624cf1 |
162624.i |
162624cf |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.3 |
|
$8$ |
$16$ |
$0$ |
$1.578190964$ |
$1$ |
|
$2$ |
$491520$ |
$1.421093$ |
$50250332/194481$ |
$0.95893$ |
$3.34629$ |
$[0, -1, 0, 7583, -608639]$ |
\(y^2=x^3-x^2+7583x-608639\) |
4.8.0.b.1, 8.16.0-4.b.1.1 |
$[(139, 1764)]$ |
| 162624.l1 |
162624ca1 |
162624.l |
162624ca |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$88$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$5406720$ |
$2.620041$ |
$50250332/194481$ |
$0.95893$ |
$4.54532$ |
$[0, -1, 0, 917503, 806428449]$ |
\(y^2=x^3-x^2+917503x+806428449\) |
4.8.0.b.1, 88.16.0.? |
$[]$ |
| 162624.eu1 |
162624em1 |
162624.eu |
162624em |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$88$ |
$16$ |
$0$ |
$2.507467359$ |
$1$ |
|
$4$ |
$5406720$ |
$2.620041$ |
$50250332/194481$ |
$0.95893$ |
$4.54532$ |
$[0, 1, 0, 917503, -806428449]$ |
\(y^2=x^3+x^2+917503x-806428449\) |
4.8.0.b.1, 88.16.0.? |
$[(643, 7056)]$ |
| 162624.fc1 |
162624ej1 |
162624.fc |
162624ej |
$1$ |
$1$ |
\( 2^{6} \cdot 3 \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{4} \cdot 7^{4} \cdot 11^{4} \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.16.0.3 |
|
$8$ |
$16$ |
$0$ |
$0.171213176$ |
$1$ |
|
$26$ |
$491520$ |
$1.421093$ |
$50250332/194481$ |
$0.95893$ |
$3.34629$ |
$[0, 1, 0, 7583, 608639]$ |
\(y^2=x^3+x^2+7583x+608639\) |
4.8.0.b.1, 8.16.0-4.b.1.1 |
$[(29, 924), (491, 11088)]$ |
| 284592.t1 |
284592t1 |
284592.t |
284592t |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{10} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$308$ |
$16$ |
$0$ |
$6.384986977$ |
$1$ |
|
$2$ |
$32440320$ |
$3.246422$ |
$50250332/194481$ |
$0.95893$ |
$4.94129$ |
$[0, -1, 0, 11239408, -34592478864]$ |
\(y^2=x^3-x^2+11239408x-34592478864\) |
4.8.0.b.1, 308.16.0.? |
$[(22790, 3472434)]$ |
| 284592.v1 |
284592v1 |
284592.v |
284592v |
$1$ |
$1$ |
\( 2^{4} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{4} \cdot 7^{10} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$28$ |
$16$ |
$0$ |
$1.132023511$ |
$1$ |
|
$4$ |
$2949120$ |
$2.047474$ |
$50250332/194481$ |
$0.95893$ |
$3.79569$ |
$[0, -1, 0, 92888, 25956064]$ |
\(y^2=x^3-x^2+92888x+25956064\) |
4.8.0.b.1, 28.16.0-4.b.1.1 |
$[(334, 9702)]$ |
| 426888.hi1 |
426888hi1 |
426888.hi |
426888hi |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{10} \cdot 11^{10} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$924$ |
$16$ |
$0$ |
$1$ |
$25$ |
$5$ |
$0$ |
$129761280$ |
$3.795727$ |
$50250332/194481$ |
$0.95893$ |
$5.29520$ |
$[0, 0, 0, 101154669, -933895774658]$ |
\(y^2=x^3+101154669x-933895774658\) |
4.8.0.b.1, 924.16.0.? |
$[]$ |
| 426888.hj1 |
426888hj1 |
426888.hj |
426888hj |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7^{2} \cdot 11^{2} \) |
\( - 2^{10} \cdot 3^{10} \cdot 7^{10} \cdot 11^{4} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$84$ |
$16$ |
$0$ |
$3.374000211$ |
$1$ |
|
$2$ |
$11796480$ |
$2.596783$ |
$50250332/194481$ |
$0.95893$ |
$4.18543$ |
$[0, 0, 0, 835989, 701649718]$ |
\(y^2=x^3+835989x+701649718\) |
4.8.0.b.1, 84.16.0.? |
$[(707, 40572)]$ |
| 487872.ow1 |
487872ow1 |
487872.ow |
487872ow |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 7^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$264$ |
$16$ |
$0$ |
$8.773613501$ |
$1$ |
|
$0$ |
$43253760$ |
$3.169346$ |
$50250332/194481$ |
$0.95893$ |
$4.66733$ |
$[0, 0, 0, 8257524, 21781825648]$ |
\(y^2=x^3+8257524x+21781825648\) |
4.8.0.b.1, 264.16.0.? |
$[(-17386/5, 15663888/5)]$ |
| 487872.pe1 |
487872pe1 |
487872.pe |
487872pe |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 7^{4} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3932160$ |
$1.970400$ |
$50250332/194481$ |
$0.95893$ |
$3.56888$ |
$[0, 0, 0, 68244, 16365008]$ |
\(y^2=x^3+68244x+16365008\) |
4.8.0.b.1, 24.16.0-4.b.1.1 |
$[]$ |
| 487872.pu1 |
487872pu1 |
487872.pu |
487872pu |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 7^{4} \cdot 11^{10} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$264$ |
$16$ |
$0$ |
$12.66008010$ |
$1$ |
|
$0$ |
$43253760$ |
$3.169346$ |
$50250332/194481$ |
$0.95893$ |
$4.66733$ |
$[0, 0, 0, 8257524, -21781825648]$ |
\(y^2=x^3+8257524x-21781825648\) |
4.8.0.b.1, 264.16.0.? |
$[(6943324/25, 18756716832/25)]$ |
| 487872.qc1 |
487872qc1 |
487872.qc |
487872qc |
$1$ |
$1$ |
\( 2^{6} \cdot 3^{2} \cdot 7 \cdot 11^{2} \) |
\( - 2^{16} \cdot 3^{10} \cdot 7^{4} \cdot 11^{4} \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
4.8.0.2 |
|
$24$ |
$16$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$3932160$ |
$1.970400$ |
$50250332/194481$ |
$0.95893$ |
$3.56888$ |
$[0, 0, 0, 68244, -16365008]$ |
\(y^2=x^3+68244x-16365008\) |
4.8.0.b.1, 24.16.0-4.b.1.1 |
$[]$ |
