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Label | Dimension | Base field | L-polynomial | $p$-rank | Isogeny factors |
---|---|---|---|---|---|
1.3.a | $1$ | $\F_{3}$ | $1 + 3 x^{2}$ | $0$ | simple |
1.3.d | $1$ | $\F_{3}$ | $1 + 3 x + 3 x^{2}$ | $0$ | simple |
1.4.ae | $1$ | $\F_{2^{2}}$ | $( 1 - 2 x )^{2}$ | $0$ | simple |
1.4.e | $1$ | $\F_{2^{2}}$ | $( 1 + 2 x )^{2}$ | $0$ | simple |
1.7.af | $1$ | $\F_{7}$ | $1 - 5 x + 7 x^{2}$ | $1$ | simple |
1.7.ae | $1$ | $\F_{7}$ | $1 - 4 x + 7 x^{2}$ | $1$ | simple |
1.7.ab | $1$ | $\F_{7}$ | $1 - x + 7 x^{2}$ | $1$ | simple |
1.7.b | $1$ | $\F_{7}$ | $1 + x + 7 x^{2}$ | $1$ | simple |
1.7.e | $1$ | $\F_{7}$ | $1 + 4 x + 7 x^{2}$ | $1$ | simple |
1.7.f | $1$ | $\F_{7}$ | $1 + 5 x + 7 x^{2}$ | $1$ | simple |
1.9.ag | $1$ | $\F_{3^{2}}$ | $( 1 - 3 x )^{2}$ | $0$ | simple |
1.9.g | $1$ | $\F_{3^{2}}$ | $( 1 + 3 x )^{2}$ | $0$ | simple |
1.13.ah | $1$ | $\F_{13}$ | $1 - 7 x + 13 x^{2}$ | $1$ | simple |
1.13.af | $1$ | $\F_{13}$ | $1 - 5 x + 13 x^{2}$ | $1$ | simple |
1.13.ac | $1$ | $\F_{13}$ | $1 - 2 x + 13 x^{2}$ | $1$ | simple |
1.13.c | $1$ | $\F_{13}$ | $1 + 2 x + 13 x^{2}$ | $1$ | simple |
1.13.f | $1$ | $\F_{13}$ | $1 + 5 x + 13 x^{2}$ | $1$ | simple |
1.13.h | $1$ | $\F_{13}$ | $1 + 7 x + 13 x^{2}$ | $1$ | simple |
1.16.ai | $1$ | $\F_{2^{4}}$ | $( 1 - 4 x )^{2}$ | $0$ | simple |
1.16.i | $1$ | $\F_{2^{4}}$ | $( 1 + 4 x )^{2}$ | $0$ | simple |
1.19.ai | $1$ | $\F_{19}$ | $1 - 8 x + 19 x^{2}$ | $1$ | simple |
1.19.ah | $1$ | $\F_{19}$ | $1 - 7 x + 19 x^{2}$ | $1$ | simple |
1.19.ab | $1$ | $\F_{19}$ | $1 - x + 19 x^{2}$ | $1$ | simple |
1.19.b | $1$ | $\F_{19}$ | $1 + x + 19 x^{2}$ | $1$ | simple |
1.19.h | $1$ | $\F_{19}$ | $1 + 7 x + 19 x^{2}$ | $1$ | simple |
1.19.i | $1$ | $\F_{19}$ | $1 + 8 x + 19 x^{2}$ | $1$ | simple |
1.25.ak | $1$ | $\F_{5^{2}}$ | $( 1 - 5 x )^{2}$ | $0$ | simple |
1.25.af | $1$ | $\F_{5^{2}}$ | $1 - 5 x + 25 x^{2}$ | $0$ | simple |
1.25.f | $1$ | $\F_{5^{2}}$ | $1 + 5 x + 25 x^{2}$ | $0$ | simple |
1.25.k | $1$ | $\F_{5^{2}}$ | $( 1 + 5 x )^{2}$ | $0$ | simple |
1.27.a | $1$ | $\F_{3^{3}}$ | $1 + 27 x^{2}$ | $0$ | simple |
1.27.j | $1$ | $\F_{3^{3}}$ | $1 + 9 x + 27 x^{2}$ | $0$ | simple |
1.31.al | $1$ | $\F_{31}$ | $1 - 11 x + 31 x^{2}$ | $1$ | simple |
1.31.ah | $1$ | $\F_{31}$ | $1 - 7 x + 31 x^{2}$ | $1$ | simple |
1.31.ae | $1$ | $\F_{31}$ | $1 - 4 x + 31 x^{2}$ | $1$ | simple |
1.31.e | $1$ | $\F_{31}$ | $1 + 4 x + 31 x^{2}$ | $1$ | simple |
1.31.h | $1$ | $\F_{31}$ | $1 + 7 x + 31 x^{2}$ | $1$ | simple |
1.31.l | $1$ | $\F_{31}$ | $1 + 11 x + 31 x^{2}$ | $1$ | simple |
1.37.al | $1$ | $\F_{37}$ | $1 - 11 x + 37 x^{2}$ | $1$ | simple |
1.37.ak | $1$ | $\F_{37}$ | $1 - 10 x + 37 x^{2}$ | $1$ | simple |
1.37.ab | $1$ | $\F_{37}$ | $1 - x + 37 x^{2}$ | $1$ | simple |
1.37.b | $1$ | $\F_{37}$ | $1 + x + 37 x^{2}$ | $1$ | simple |
1.37.k | $1$ | $\F_{37}$ | $1 + 10 x + 37 x^{2}$ | $1$ | simple |
1.37.l | $1$ | $\F_{37}$ | $1 + 11 x + 37 x^{2}$ | $1$ | simple |
1.43.an | $1$ | $\F_{43}$ | $1 - 13 x + 43 x^{2}$ | $1$ | simple |
1.43.ai | $1$ | $\F_{43}$ | $1 - 8 x + 43 x^{2}$ | $1$ | simple |
1.43.af | $1$ | $\F_{43}$ | $1 - 5 x + 43 x^{2}$ | $1$ | simple |
1.43.f | $1$ | $\F_{43}$ | $1 + 5 x + 43 x^{2}$ | $1$ | simple |
1.43.i | $1$ | $\F_{43}$ | $1 + 8 x + 43 x^{2}$ | $1$ | simple |
1.43.n | $1$ | $\F_{43}$ | $1 + 13 x + 43 x^{2}$ | $1$ | simple |