LMFDB - p-adic families search results

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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

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Results (1-50 of 234 matches)

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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
47.1.1.0a	$47$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.2.1.0a	$47$	$2$	$1$	$2$	$2$	$1$	$2$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.2.1a	$47$	$2$	$1$	$2$	$1$	$1$	$1$	$2$	$1$	$2$	$1$	$0$	$1$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.3.1.0a	$47$	$3$	$1$	$3$	$3$	$1$	$3$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$3$	$1$	$1$	$1/3$	$1/3$	$100\%$	$0$
47.1.3.2a	$47$	$3$	$1$	$3$	$1$	$1$	$1$	$3$	$1$	$3$	$2$	$0$	$2$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.4.1.0a	$47$	$4$	$1$	$4$	$4$	$1$	$4$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$4$	$1$	$1$	$1/4$	$1/4$	$100\%$	$0$
47.2.2.2a	$47$	$4$	$1$	$4$	$2$	$1$	$2$	$2$	$1$	$2$	$2$	$0$	$2$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$4$	$2$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.4.3a	$47$	$4$	$1$	$4$	$1$	$1$	$1$	$4$	$1$	$4$	$3$	$0$	$3$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.5.1.0a	$47$	$5$	$1$	$5$	$5$	$1$	$5$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$5$	$1$	$1$	$1/5$	$1/5$	$100\%$	$0$
47.1.5.4a	$47$	$5$	$1$	$5$	$1$	$1$	$1$	$5$	$1$	$5$	$4$	$0$	$4$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.6.1.0a	$47$	$6$	$1$	$6$	$6$	$1$	$6$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$6$	$1$	$1$	$1/6$	$1/6$	$100\%$	$0$
47.3.2.3a	$47$	$6$	$1$	$6$	$3$	$1$	$3$	$2$	$1$	$2$	$3$	$0$	$3$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$6$	$2$	$1$	$1/3$	$1/3$	$100\%$	$0$
47.2.3.4a	$47$	$6$	$1$	$6$	$2$	$1$	$2$	$3$	$1$	$3$	$4$	$0$	$4$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 47 d_{0}$	$6$	$2$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.6.5a	$47$	$6$	$1$	$6$	$1$	$1$	$1$	$6$	$1$	$6$	$5$	$0$	$5$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^6 + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.7.1.0a	$47$	$7$	$1$	$7$	$7$	$1$	$7$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$7$	$1$	$1$	$1/7$	$1/7$	$100\%$	$0$
47.1.7.6a	$47$	$7$	$1$	$7$	$1$	$1$	$1$	$7$	$1$	$7$	$6$	$0$	$6$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^7 + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.8.1.0a	$47$	$8$	$1$	$8$	$8$	$1$	$8$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$8$	$1$	$1$	$1/8$	$1/8$	$100\%$	$0$
47.4.2.4a	$47$	$8$	$1$	$8$	$4$	$1$	$4$	$2$	$1$	$2$	$4$	$0$	$4$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$8$	$2$	$1$	$1/4$	$1/4$	$100\%$	$0$
47.2.4.6a	$47$	$8$	$1$	$8$	$2$	$1$	$2$	$4$	$1$	$4$	$6$	$0$	$6$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 47 d_{0}$	$8$	$3$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.8.7a	$47$	$8$	$1$	$8$	$1$	$1$	$1$	$8$	$1$	$8$	$7$	$0$	$7$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^8 + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.9.1.0a	$47$	$9$	$1$	$9$	$9$	$1$	$9$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$9$	$1$	$1$	$1/9$	$1/9$	$100\%$	$0$
47.3.3.6a	$47$	$9$	$1$	$9$	$3$	$1$	$3$	$3$	$1$	$3$	$6$	$0$	$6$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 47$	$3$	$1$	$1$	$1/3$	$1/3$	$100\%$	$0$
47.1.9.8a	$47$	$9$	$1$	$9$	$1$	$1$	$1$	$9$	$1$	$9$	$8$	$0$	$8$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^9 + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.10.1.0a	$47$	$10$	$1$	$10$	$10$	$1$	$10$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$10$	$1$	$1$	$1/10$	$1/10$	$100\%$	$0$
47.5.2.5a	$47$	$10$	$1$	$10$	$5$	$1$	$5$	$2$	$1$	$2$	$5$	$0$	$5$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$10$	$2$	$1$	$1/5$	$1/5$	$100\%$	$0$
47.2.5.8a	$47$	$10$	$1$	$10$	$2$	$1$	$2$	$5$	$1$	$5$	$8$	$0$	$8$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 47$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.10.9a	$47$	$10$	$1$	$10$	$1$	$1$	$1$	$10$	$1$	$10$	$9$	$0$	$9$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{10} + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.11.1.0a	$47$	$11$	$1$	$11$	$11$	$1$	$11$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$11$	$1$	$1$	$1/11$	$1/11$	$100\%$	$0$
47.1.11.10a	$47$	$11$	$1$	$11$	$1$	$1$	$1$	$11$	$1$	$11$	$10$	$0$	$10$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{11} + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.12.1.0a	$47$	$12$	$1$	$12$	$12$	$1$	$12$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$12$	$1$	$1$	$1/12$	$1/12$	$100\%$	$0$
47.6.2.6a	$47$	$12$	$1$	$12$	$6$	$1$	$6$	$2$	$1$	$2$	$6$	$0$	$6$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$12$	$2$	$1$	$1/6$	$1/6$	$100\%$	$0$
47.4.3.8a	$47$	$12$	$1$	$12$	$4$	$1$	$4$	$3$	$1$	$3$	$8$	$0$	$8$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 47 d_{0}$	$12$	$2$	$1$	$1/4$	$1/4$	$100\%$	$0$
47.3.4.9a	$47$	$12$	$1$	$12$	$3$	$1$	$3$	$4$	$1$	$4$	$9$	$0$	$9$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 47 d_{0}$	$6$	$2$	$1$	$1/3$	$1/3$	$100\%$	$0$
47.2.6.10a	$47$	$12$	$1$	$12$	$2$	$1$	$2$	$6$	$1$	$6$	$10$	$0$	$10$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^6 + 47 d_{0}$	$12$	$4$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.12.11a	$47$	$12$	$1$	$12$	$1$	$1$	$1$	$12$	$1$	$12$	$11$	$0$	$11$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{12} + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.13.1.0a	$47$	$13$	$1$	$13$	$13$	$1$	$13$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$13$	$1$	$1$	$1/13$	$1/13$	$100\%$	$0$
47.1.13.12a	$47$	$13$	$1$	$13$	$1$	$1$	$1$	$13$	$1$	$13$	$12$	$0$	$12$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{13} + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.14.1.0a	$47$	$14$	$1$	$14$	$14$	$1$	$14$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$14$	$1$	$1$	$1/14$	$1/14$	$100\%$	$0$
47.7.2.7a	$47$	$14$	$1$	$14$	$7$	$1$	$7$	$2$	$1$	$2$	$7$	$0$	$7$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$14$	$2$	$1$	$1/7$	$1/7$	$100\%$	$0$
47.2.7.12a	$47$	$14$	$1$	$14$	$2$	$1$	$2$	$7$	$1$	$7$	$12$	$0$	$12$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^7 + 47$	$2$	$1$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.14.13a	$47$	$14$	$1$	$14$	$1$	$1$	$1$	$14$	$1$	$14$	$13$	$0$	$13$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{14} + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$
47.15.1.0a	$47$	$15$	$1$	$15$	$15$	$1$	$15$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$15$	$1$	$1$	$1/15$	$1/15$	$100\%$	$0$
47.5.3.10a	$47$	$15$	$1$	$15$	$5$	$1$	$5$	$3$	$1$	$3$	$10$	$0$	$10$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^3 + 47$	$5$	$1$	$1$	$1/5$	$1/5$	$100\%$	$0$
47.3.5.12a	$47$	$15$	$1$	$15$	$3$	$1$	$3$	$5$	$1$	$5$	$12$	$0$	$12$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^5 + 47$	$3$	$1$	$1$	$1/3$	$1/3$	$100\%$	$0$
47.1.15.14a	$47$	$15$	$1$	$15$	$1$	$1$	$1$	$15$	$1$	$15$	$14$	$0$	$14$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{15} + 47$	$1$	$1$	$1$	$1$	$1$	$100\%$	$0$
47.16.1.0a	$47$	$16$	$1$	$16$	$16$	$1$	$16$	$1$	$1$	$1$	$0$	$0$	$0$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x$	$16$	$1$	$1$	$1/16$	$1/16$	$100\%$	$0$
47.8.2.8a	$47$	$16$	$1$	$16$	$8$	$1$	$8$	$2$	$1$	$2$	$8$	$0$	$8$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^2 + 47 d_{0}$	$16$	$2$	$1$	$1/8$	$1/8$	$100\%$	$0$
47.4.4.12a	$47$	$16$	$1$	$16$	$4$	$1$	$4$	$4$	$1$	$4$	$12$	$0$	$12$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^4 + 47 d_{0}$	$16$	$3$	$1$	$1/4$	$1/4$	$100\%$	$0$
47.2.8.14a	$47$	$16$	$1$	$16$	$2$	$1$	$2$	$8$	$1$	$8$	$14$	$0$	$14$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^8 + 47 d_{0}$	$16$	$5$	$1$	$1/2$	$1/2$	$100\%$	$0$
47.1.16.15a	$47$	$16$	$1$	$16$	$1$	$1$	$1$	$16$	$1$	$16$	$15$	$0$	$15$	$\Q_{47}$	$[\ ]$	$[ ]$	$\langle \rangle$	$( )$	$x^{16} + 47 d_{0}$	$2$	$2$	$1$	$1$	$1$	$100\%$	$0$

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Elliptic curves over $\Q$
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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.