LMFDB - p-adic families search results

Refine search

Residue characteristic $p$	Rel. degree $n$	Rel. ram. index $e$	Rel. res. field degree $f$	Rel. disc. exponent $c$

Base	Base degree $n_0$	Base ram. index $e_0$	Base res. field degree $f_0$	Base disc. exponent $c_0$

Herbrand invariant	Abs. degree $n_{\mathrm{abs}}$	Abs. ram. index $e_{\mathrm{abs}}$	Abs. res. field degree $f_{\mathrm{abs}}$	Abs. disc. exponent $c_{\mathrm{abs}}$

Mass	Absolute mass	Ambiguity	Field count	Wild segments

Absolute label

			Sort order	Select

Results (1-50 of 110 matches)

Next Download displayed columns for results to

Label	$p$	$n$	$n_0$	$n_{\mathrm{abs}}$	$f$	$f_0$	$f_{\mathrm{abs}}$	$e$	$e_0$	$e_{\mathrm{abs}}$	$c$	$c_0$	$c_{\mathrm{abs}}$	Base	Abs. Artin slopes	Swan slopes	Means	Rams	Generic poly	Ambiguity	Field count	Mass	Mass (absolute)	Mass stored	Mass found	Wild segments
3.5.9.120a	$3$	$45$	$1$	$45$	$5$	$1$	$5$	$9$	$1$	$9$	$120$	$0$	$120$	$\Q_{3}$	$[\frac{5}{2}, \frac{19}{6}]$	$[\frac{3}{2}, \frac{13}{6}]$	$\langle1, \frac{16}{9}\rangle$	$(\frac{3}{2}, \frac{7}{2})$	$x^9 + 9 b_{17} x^8 + 9 a_{16} x^7 + 9 b_{12} x^3 + 27 b_{19} x + 3$	$5$	$0$	$3472435494$	$3472435494/5$	$0$	$0\%$	$2$
3.1.3.5a1.1-5.3.45a	$3$	$15$	$3$	$45$	$5$	$1$	$5$	$3$	$3$	$9$	$45$	$5$	$60$	3.1.3.5a1.1	$[\frac{5}{2}, \frac{19}{6}]$	$[\frac{7}{2}]$	$\langle\frac{7}{3}\rangle$	$(\frac{7}{2})$	$x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$	$5$	$0$	$14289858$	$14289858/5$	$0$	$0\%$	$1$
3.1.3.5a1.2-5.3.45a	$3$	$15$	$3$	$45$	$5$	$1$	$5$	$3$	$3$	$9$	$45$	$5$	$60$	3.1.3.5a1.2	$[\frac{5}{2}, \frac{19}{6}]$	$[\frac{7}{2}]$	$\langle\frac{7}{3}\rangle$	$(\frac{7}{2})$	$x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$	$5$	$0$	$14289858$	$14289858/5$	$0$	$0\%$	$1$
3.1.3.5a1.3-5.3.45a	$3$	$15$	$3$	$45$	$5$	$1$	$5$	$3$	$3$	$9$	$45$	$5$	$60$	3.1.3.5a1.3	$[\frac{5}{2}, \frac{19}{6}]$	$[\frac{7}{2}]$	$\langle\frac{7}{3}\rangle$	$(\frac{7}{2})$	$x^3 + b_{8} \pi^3 x^2 + (b_{10} \pi^4 + a_{7} \pi^3) x + \pi$	$5$	$0$	$14289858$	$14289858/5$	$0$	$0\%$	$1$
3.5.1.0a1.1-1.9.24a	$3$	$9$	$5$	$45$	$1$	$5$	$5$	$9$	$1$	$9$	$24$	$0$	$24$	3.5.1.0a1.1	$[\frac{5}{2}, \frac{19}{6}]$	$[\frac{3}{2}, \frac{13}{6}]$	$\langle1, \frac{16}{9}\rangle$	$(\frac{3}{2}, \frac{7}{2})$	$x^9 + 9 b_{17} x^8 + 9 a_{16} x^7 + 9 b_{12} x^3 + 27 b_{19} x + 3$	$1$	$0$	$3472435494$	$3472435494/5$	$0$	$0\%$	$2$
3.1.9.24a1.1-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.1	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.2-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.2	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.3-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.3	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.4-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.4	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.5-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.5	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.6-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.6	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.7-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.7	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.8-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.8	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.9-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.9	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.10-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.10	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.11-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.11	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.12-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.12	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.13-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.13	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.14-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.14	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.15-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.15	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.16-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.16	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.17-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.17	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.18-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.18	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.19-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.19	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.20-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.20	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.21-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.21	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.22-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.22	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.23-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.23	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.24-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.24	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.25-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.25	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.26-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.26	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a1.27-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a1.27	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.1-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.1	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.2-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.2	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.3-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.3	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.4-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.4	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.5-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.5	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.6-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.6	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.7-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.7	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.8-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.8	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.9-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.9	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.10-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.10	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.11-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.11	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.12-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.12	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.13-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.13	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.14-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.14	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.15-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.15	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.16-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.16	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.17-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.17	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$
3.1.9.24a2.18-5.1.0a	$3$	$5$	$9$	$45$	$5$	$1$	$5$	$1$	$9$	$9$	$0$	$24$	$80$	3.1.9.24a2.18	$[\frac{5}{2}, \frac{19}{6}]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$0$	$1$	$1/5$	$0$	$0\%$	$0$

Next Download displayed columns for results to

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Refine search

Results (1-50 of 110 matches)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.