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Results (1-50 of 272234 matches)

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Label Dimension Base field L-polynomial $p$-rank Number fields Galois groups Isogeny factors
1.2.ac $1$ $\F_{2}$ $1 - 2 x + 2 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.2.a $1$ $\F_{2}$ $1 + 2 x^{2}$ $0$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.2.c $1$ $\F_{2}$ $1 + 2 x + 2 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.3.ad $1$ $\F_{3}$ $1 - 3 x + 3 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.3.a $1$ $\F_{3}$ $1 + 3 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.3.d $1$ $\F_{3}$ $1 + 3 x + 3 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.4.ae $1$ $\F_{2^{2}}$ $( 1 - 2 x )^{2}$ $0$ \(\Q\) Trivial simple
1.4.ac $1$ $\F_{2^{2}}$ $1 - 2 x + 4 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.4.a $1$ $\F_{2^{2}}$ $1 + 4 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.4.c $1$ $\F_{2^{2}}$ $1 + 2 x + 4 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.4.e $1$ $\F_{2^{2}}$ $( 1 + 2 x )^{2}$ $0$ \(\Q\) Trivial simple
1.5.a $1$ $\F_{5}$ $1 + 5 x^{2}$ $0$ \(\Q(\sqrt{-5}) \) $C_2$ simple
1.7.a $1$ $\F_{7}$ $1 + 7 x^{2}$ $0$ \(\Q(\sqrt{-7}) \) $C_2$ simple
1.8.ae $1$ $\F_{2^{3}}$ $1 - 4 x + 8 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.8.a $1$ $\F_{2^{3}}$ $1 + 8 x^{2}$ $0$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.8.e $1$ $\F_{2^{3}}$ $1 + 4 x + 8 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.9.ag $1$ $\F_{3^{2}}$ $( 1 - 3 x )^{2}$ $0$ \(\Q\) Trivial simple
1.9.ad $1$ $\F_{3^{2}}$ $1 - 3 x + 9 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.9.a $1$ $\F_{3^{2}}$ $1 + 9 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.9.d $1$ $\F_{3^{2}}$ $1 + 3 x + 9 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.9.g $1$ $\F_{3^{2}}$ $( 1 + 3 x )^{2}$ $0$ \(\Q\) Trivial simple
1.11.a $1$ $\F_{11}$ $1 + 11 x^{2}$ $0$ \(\Q(\sqrt{-11}) \) $C_2$ simple
1.13.a $1$ $\F_{13}$ $1 + 13 x^{2}$ $0$ \(\Q(\sqrt{-13}) \) $C_2$ simple
1.16.ai $1$ $\F_{2^{4}}$ $( 1 - 4 x )^{2}$ $0$ \(\Q\) Trivial simple
1.16.ae $1$ $\F_{2^{4}}$ $1 - 4 x + 16 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.16.a $1$ $\F_{2^{4}}$ $1 + 16 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.16.e $1$ $\F_{2^{4}}$ $1 + 4 x + 16 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.16.i $1$ $\F_{2^{4}}$ $( 1 + 4 x )^{2}$ $0$ \(\Q\) Trivial simple
1.17.a $1$ $\F_{17}$ $1 + 17 x^{2}$ $0$ \(\Q(\sqrt{-17}) \) $C_2$ simple
1.19.a $1$ $\F_{19}$ $1 + 19 x^{2}$ $0$ \(\Q(\sqrt{-19}) \) $C_2$ simple
1.23.a $1$ $\F_{23}$ $1 + 23 x^{2}$ $0$ \(\Q(\sqrt{-23}) \) $C_2$ simple
1.25.ak $1$ $\F_{5^{2}}$ $( 1 - 5 x )^{2}$ $0$ \(\Q\) Trivial simple
1.25.af $1$ $\F_{5^{2}}$ $1 - 5 x + 25 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.25.f $1$ $\F_{5^{2}}$ $1 + 5 x + 25 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.25.k $1$ $\F_{5^{2}}$ $( 1 + 5 x )^{2}$ $0$ \(\Q\) Trivial simple
1.27.aj $1$ $\F_{3^{3}}$ $1 - 9 x + 27 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.27.a $1$ $\F_{3^{3}}$ $1 + 27 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.27.j $1$ $\F_{3^{3}}$ $1 + 9 x + 27 x^{2}$ $0$ \(\Q(\sqrt{-3}) \) $C_2$ simple
1.29.a $1$ $\F_{29}$ $1 + 29 x^{2}$ $0$ \(\Q(\sqrt{-29}) \) $C_2$ simple
1.31.a $1$ $\F_{31}$ $1 + 31 x^{2}$ $0$ \(\Q(\sqrt{-31}) \) $C_2$ simple
1.32.ai $1$ $\F_{2^{5}}$ $1 - 8 x + 32 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.32.a $1$ $\F_{2^{5}}$ $1 + 32 x^{2}$ $0$ \(\Q(\sqrt{-2}) \) $C_2$ simple
1.32.i $1$ $\F_{2^{5}}$ $1 + 8 x + 32 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.37.a $1$ $\F_{37}$ $1 + 37 x^{2}$ $0$ \(\Q(\sqrt{-37}) \) $C_2$ simple
1.41.a $1$ $\F_{41}$ $1 + 41 x^{2}$ $0$ \(\Q(\sqrt{-41}) \) $C_2$ simple
1.43.a $1$ $\F_{43}$ $1 + 43 x^{2}$ $0$ \(\Q(\sqrt{-43}) \) $C_2$ simple
1.47.a $1$ $\F_{47}$ $1 + 47 x^{2}$ $0$ \(\Q(\sqrt{-47}) \) $C_2$ simple
1.49.ao $1$ $\F_{7^{2}}$ $( 1 - 7 x )^{2}$ $0$ \(\Q\) Trivial simple
1.49.a $1$ $\F_{7^{2}}$ $1 + 49 x^{2}$ $0$ \(\Q(\sqrt{-1}) \) $C_2$ simple
1.49.o $1$ $\F_{7^{2}}$ $( 1 + 7 x )^{2}$ $0$ \(\Q\) Trivial simple
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