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 |
4864.a1 |
4864l1 |
4864.a |
4864l |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.335472744$ |
$1$ |
|
$14$ |
$960$ |
$-0.408110$ |
$-2299968/19$ |
$[0, 0, 0, -22, 40]$ |
\(y^2=x^3-22x+40\) |
152.2.0.? |
$[(2, 2), (3, 1)]$ |
4864.b1 |
4864k1 |
4864.b |
4864k |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$-0.061536$ |
$-2299968/19$ |
$[0, 0, 0, -88, -320]$ |
\(y^2=x^3-88x-320\) |
152.2.0.? |
$[]$ |
4864.c1 |
4864j1 |
4864.c |
4864j |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19 \) |
$2$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.961340736$ |
$1$ |
|
$10$ |
$256$ |
$-0.555614$ |
$64/19$ |
$[0, -1, 0, 1, -5]$ |
\(y^2=x^3-x^2+x-5\) |
152.2.0.? |
$[(3, 4), (2, 1)]$ |
4864.d1 |
4864p1 |
4864.d |
4864p |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.18.0.1 |
3Ns |
$1368$ |
$72$ |
$3$ |
$0.315342766$ |
$1$ |
|
$4$ |
$576$ |
$-0.055107$ |
$10648000/6859$ |
$[0, -1, 0, 37, -41]$ |
\(y^2=x^3-x^2+37x-41\) |
3.6.0.b.1, 9.18.0.a.1, 24.12.0.bc.1, 72.36.0.?, 152.2.0.?, $\ldots$ |
$[(6, 19)]$ |
4864.e1 |
4864o1 |
4864.e |
4864o |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.18.0.1 |
3Ns |
$1368$ |
$72$ |
$3$ |
$0.522039870$ |
$1$ |
|
$2$ |
$1152$ |
$0.291467$ |
$10648000/6859$ |
$[0, -1, 0, 147, 181]$ |
\(y^2=x^3-x^2+147x+181\) |
3.6.0.b.1, 9.18.0.a.1, 24.12.0.bc.1, 72.36.0.?, 152.2.0.?, $\ldots$ |
$[(27, 152)]$ |
4864.f1 |
4864d1 |
4864.f |
4864d |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.777401993$ |
$1$ |
|
$2$ |
$512$ |
$-0.209041$ |
$64/19$ |
$[0, -1, 0, 3, 37]$ |
\(y^2=x^3-x^2+3x+37\) |
152.2.0.? |
$[(3, 8)]$ |
4864.g1 |
4864e1 |
4864.g |
4864e |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( 2^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$152$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$288$ |
$-0.298611$ |
$27000000/19$ |
$[0, 0, 0, -50, -136]$ |
\(y^2=x^3-50x-136\) |
2.3.0.a.1, 8.6.0.d.1, 76.6.0.?, 152.12.0.? |
$[]$ |
4864.g2 |
4864e2 |
4864.g |
4864e |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$152$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.047963$ |
$-216000/361$ |
$[0, 0, 0, -40, -192]$ |
\(y^2=x^3-40x-192\) |
2.3.0.a.1, 8.6.0.a.1, 76.6.0.?, 152.12.0.? |
$[]$ |
4864.h1 |
4864a2 |
4864.h |
4864a |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( 2^{15} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$152$ |
$12$ |
$0$ |
$5.671518747$ |
$1$ |
|
$1$ |
$576$ |
$0.047963$ |
$27000000/19$ |
$[0, 0, 0, -200, -1088]$ |
\(y^2=x^3-200x-1088\) |
2.3.0.a.1, 8.6.0.d.1, 76.6.0.?, 152.12.0.? |
$[(217/3, 2431/3)]$ |
4864.h2 |
4864a1 |
4864.h |
4864a |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$152$ |
$12$ |
$0$ |
$2.835759373$ |
$1$ |
|
$3$ |
$288$ |
$-0.298611$ |
$-216000/361$ |
$[0, 0, 0, -10, -24]$ |
\(y^2=x^3-10x-24\) |
2.3.0.a.1, 8.6.0.a.1, 76.6.0.?, 152.12.0.? |
$[(22, 102)]$ |
4864.i1 |
4864m2 |
4864.i |
4864m |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( 2^{15} \cdot 19 \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$152$ |
$12$ |
$0$ |
$2.643478613$ |
$1$ |
|
$3$ |
$576$ |
$0.047963$ |
$27000000/19$ |
$[0, 0, 0, -200, 1088]$ |
\(y^2=x^3-200x+1088\) |
2.3.0.a.1, 8.6.0.d.1, 76.6.0.?, 152.12.0.? |
$[(17, 51)]$ |
4864.i2 |
4864m1 |
4864.i |
4864m |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19^{2} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$152$ |
$12$ |
$0$ |
$1.321739306$ |
$1$ |
|
$5$ |
$288$ |
$-0.298611$ |
$-216000/361$ |
$[0, 0, 0, -10, 24]$ |
\(y^2=x^3-10x+24\) |
2.3.0.a.1, 8.6.0.a.1, 76.6.0.?, 152.12.0.? |
$[(-2, 6)]$ |
4864.j1 |
4864i1 |
4864.j |
4864i |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( 2^{9} \cdot 19 \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.4 |
2B |
$152$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$288$ |
$-0.298611$ |
$27000000/19$ |
$[0, 0, 0, -50, 136]$ |
\(y^2=x^3-50x+136\) |
2.3.0.a.1, 8.6.0.d.1, 76.6.0.?, 152.12.0.? |
$[]$ |
4864.j2 |
4864i2 |
4864.j |
4864i |
$2$ |
$2$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19^{2} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2$ |
8.6.0.5 |
2B |
$152$ |
$12$ |
$0$ |
$1$ |
$1$ |
|
$1$ |
$576$ |
$0.047963$ |
$-216000/361$ |
$[0, 0, 0, -40, 192]$ |
\(y^2=x^3-40x+192\) |
2.3.0.a.1, 8.6.0.a.1, 76.6.0.?, 152.12.0.? |
$[]$ |
4864.k1 |
4864n1 |
4864.k |
4864n |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$0.639680962$ |
$1$ |
|
$2$ |
$256$ |
$-0.555614$ |
$64/19$ |
$[0, 1, 0, 1, 5]$ |
\(y^2=x^3+x^2+x+5\) |
152.2.0.? |
$[(-1, 2)]$ |
4864.l1 |
4864c1 |
4864.l |
4864c |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.18.0.1 |
3Ns |
$1368$ |
$72$ |
$3$ |
$2.015908316$ |
$1$ |
|
$2$ |
$1152$ |
$0.291467$ |
$10648000/6859$ |
$[0, 1, 0, 147, -181]$ |
\(y^2=x^3+x^2+147x-181\) |
3.6.0.b.1, 9.18.0.a.1, 24.12.0.bc.1, 72.36.0.?, 152.2.0.?, $\ldots$ |
$[(13, 64)]$ |
4864.m1 |
4864b1 |
4864.m |
4864b |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19^{3} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$3$ |
9.18.0.1 |
3Ns |
$1368$ |
$72$ |
$3$ |
$1.483934330$ |
$1$ |
|
$2$ |
$576$ |
$-0.055107$ |
$10648000/6859$ |
$[0, 1, 0, 37, 41]$ |
\(y^2=x^3+x^2+37x+41\) |
3.6.0.b.1, 9.18.0.a.1, 24.12.0.bc.1, 72.36.0.?, 152.2.0.?, $\ldots$ |
$[(-1, 2)]$ |
4864.n1 |
4864f1 |
4864.n |
4864f |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$512$ |
$-0.209041$ |
$64/19$ |
$[0, 1, 0, 3, -37]$ |
\(y^2=x^3+x^2+3x-37\) |
152.2.0.? |
$[]$ |
4864.o1 |
4864h1 |
4864.o |
4864h |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{9} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$960$ |
$-0.408110$ |
$-2299968/19$ |
$[0, 0, 0, -22, -40]$ |
\(y^2=x^3-22x-40\) |
152.2.0.? |
$[]$ |
4864.p1 |
4864g1 |
4864.p |
4864g |
$1$ |
$1$ |
\( 2^{8} \cdot 19 \) |
\( - 2^{15} \cdot 19 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$152$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$1920$ |
$-0.061536$ |
$-2299968/19$ |
$[0, 0, 0, -88, 320]$ |
\(y^2=x^3-88x+320\) |
152.2.0.? |
$[]$ |