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 |
16744.h1 |
16744a1 |
16744.h |
16744a |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.303921894$ |
$1$ |
|
$6$ |
$2432$ |
$-0.055121$ |
$5030912/14651$ |
$[0, 1, 0, 23, 91]$ |
\(y^2=x^3+x^2+23x+91\) |
598.2.0.? |
$[(3, 14)]$ |
33488.k1 |
33488g1 |
33488.k |
33488g |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1.040601466$ |
$1$ |
|
$2$ |
$4864$ |
$-0.055121$ |
$5030912/14651$ |
$[0, -1, 0, 23, -91]$ |
\(y^2=x^3-x^2+23x-91\) |
598.2.0.? |
$[(4, 7)]$ |
117208.g1 |
117208h1 |
117208.g |
117208h |
$1$ |
$1$ |
\( 2^{3} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$0.965152817$ |
$1$ |
|
$4$ |
$116736$ |
$0.917834$ |
$5030912/14651$ |
$[0, -1, 0, 1111, -28979]$ |
\(y^2=x^3-x^2+1111x-28979\) |
598.2.0.? |
$[(75, 686)]$ |
133952.bc1 |
133952ce1 |
133952.bc |
133952ce |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$38912$ |
$0.291452$ |
$5030912/14651$ |
$[0, -1, 0, 91, 637]$ |
\(y^2=x^3-x^2+91x+637\) |
598.2.0.? |
$[]$ |
133952.ce1 |
133952bb1 |
133952.ce |
133952bb |
$1$ |
$1$ |
\( 2^{6} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{14} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$6.547226231$ |
$1$ |
|
$0$ |
$38912$ |
$0.291452$ |
$5030912/14651$ |
$[0, 1, 0, 91, -637]$ |
\(y^2=x^3+x^2+91x-637\) |
598.2.0.? |
$[(1694/5, 70847/5)]$ |
150696.bf1 |
150696r1 |
150696.bf |
150696r |
$1$ |
$1$ |
\( 2^{3} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$72960$ |
$0.494185$ |
$5030912/14651$ |
$[0, 0, 0, 204, -2252]$ |
\(y^2=x^3+204x-2252\) |
598.2.0.? |
$[]$ |
217672.n1 |
217672h1 |
217672.n |
217672h |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{7} \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$2.862241578$ |
$1$ |
|
$2$ |
$408576$ |
$1.227354$ |
$5030912/14651$ |
$[0, 1, 0, 3831, 184523]$ |
\(y^2=x^3+x^2+3831x+184523\) |
598.2.0.? |
$[(1, 434)]$ |
234416.bq1 |
234416bq1 |
234416.bq |
234416bq |
$1$ |
$1$ |
\( 2^{4} \cdot 7^{2} \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 7^{8} \cdot 13 \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$233472$ |
$0.917834$ |
$5030912/14651$ |
$[0, 1, 0, 1111, 28979]$ |
\(y^2=x^3+x^2+1111x+28979\) |
598.2.0.? |
$[]$ |
301392.dk1 |
301392dk1 |
301392.dk |
301392dk |
$1$ |
$1$ |
\( 2^{4} \cdot 3^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 3^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$6.118789784$ |
$1$ |
|
$2$ |
$145920$ |
$0.494185$ |
$5030912/14651$ |
$[0, 0, 0, 204, 2252]$ |
\(y^2=x^3+204x+2252\) |
598.2.0.? |
$[(1193, 41209)]$ |
385112.p1 |
385112p1 |
385112.p |
385112p |
$1$ |
$1$ |
\( 2^{3} \cdot 7 \cdot 13 \cdot 23^{2} \) |
\( - 2^{8} \cdot 7^{2} \cdot 13 \cdot 23^{7} \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1.498044252$ |
$1$ |
|
$0$ |
$1284096$ |
$1.512627$ |
$5030912/14651$ |
$[0, 1, 0, 11991, -1010821]$ |
\(y^2=x^3+x^2+11991x-1010821\) |
598.2.0.? |
$[(595/3, 7406/3)]$ |
418600.k1 |
418600k1 |
418600.k |
418600k |
$1$ |
$1$ |
\( 2^{3} \cdot 5^{2} \cdot 7 \cdot 13 \cdot 23 \) |
\( - 2^{8} \cdot 5^{6} \cdot 7^{2} \cdot 13 \cdot 23 \) |
$1$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$2.297228457$ |
$1$ |
|
$2$ |
$262656$ |
$0.749598$ |
$5030912/14651$ |
$[0, -1, 0, 567, 10237]$ |
\(y^2=x^3-x^2+567x+10237\) |
598.2.0.? |
$[(31, 238)]$ |
435344.t1 |
435344t1 |
435344.t |
435344t |
$1$ |
$1$ |
\( 2^{4} \cdot 7 \cdot 13^{2} \cdot 23 \) |
\( - 2^{8} \cdot 7^{2} \cdot 13^{7} \cdot 23 \) |
$0$ |
$\mathsf{trivial}$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
|
|
|
$598$ |
$2$ |
$0$ |
$1$ |
$1$ |
|
$0$ |
$817152$ |
$1.227354$ |
$5030912/14651$ |
$[0, -1, 0, 3831, -184523]$ |
\(y^2=x^3-x^2+3831x-184523\) |
598.2.0.? |
$[]$ |