Weil polynomials of abelian varieties over prime fields

$g$

$q$

label

$P_A(t)$

1

2

1.2.a:

t^2 + 2

comment: LMFDB 1.2.a. The class is simple, has p-rank 0, and is not ordinary.

1

2

1.2.b:

t^2 + t + 2

comment: LMFDB 1.2.b. The class is simple, has p-rank 1, and is ordinary.

1

2

1.2.ab:

t^2 - t + 2

comment: LMFDB 1.2.ab. The class is simple, has p-rank 1, and is ordinary.

1

2

1.2.c:

t^2 + 2*t + 2

comment: LMFDB 1.2.c. The class is simple, has p-rank 0, and is not ordinary.

1

2

1.2.ac:

t^2 - 2*t + 2

comment: LMFDB 1.2.ac. The class is simple, has p-rank 0, and is not ordinary.

1

3

1.3.a:

t^2 + 3

comment: LMFDB 1.3.a. The class is simple, has p-rank 0, and is not ordinary.

1

3

1.3.b:

t^2 + t + 3

comment: LMFDB 1.3.b. The class is simple, has p-rank 1, and is ordinary.

1

3

1.3.ab:

t^2 - t + 3

comment: LMFDB 1.3.ab. The class is simple, has p-rank 1, and is ordinary.

1

3

1.3.c:

t^2 + 2*t + 3

comment: LMFDB 1.3.c. The class is simple, has p-rank 1, and is ordinary.

1

3

1.3.ac:

t^2 - 2*t + 3

comment: LMFDB 1.3.ac. The class is simple, has p-rank 1, and is ordinary.

1

3

1.3.d:

t^2 + 3*t + 3

comment: LMFDB 1.3.d. The class is simple, has p-rank 0, and is not ordinary.

1

3

1.3.ad:

t^2 - 3*t + 3

comment: LMFDB 1.3.ad. The class is simple, has p-rank 0, and is not ordinary.

1

5

1.5.a:

t^2 + 5

comment: LMFDB 1.5.a. The class is simple, has p-rank 0, and is not ordinary.

1

5

1.5.b:

t^2 + t + 5

comment: LMFDB 1.5.b. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.ab:

t^2 - t + 5

comment: LMFDB 1.5.ab. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.c:

t^2 + 2*t + 5

comment: LMFDB 1.5.c. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.ac:

t^2 - 2*t + 5

comment: LMFDB 1.5.ac. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.d:

t^2 + 3*t + 5

comment: LMFDB 1.5.d. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.ad:

t^2 - 3*t + 5

comment: LMFDB 1.5.ad. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.e:

t^2 + 4*t + 5

comment: LMFDB 1.5.e. The class is simple, has p-rank 1, and is ordinary.

1

5

1.5.ae:

t^2 - 4*t + 5

comment: LMFDB 1.5.ae. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.a:

t^2 + 7

comment: LMFDB 1.7.a. The class is simple, has p-rank 0, and is not ordinary.

1

7

1.7.b:

t^2 + t + 7

comment: LMFDB 1.7.b. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.ab:

t^2 - t + 7

comment: LMFDB 1.7.ab. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.c:

t^2 + 2*t + 7

comment: LMFDB 1.7.c. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.ac:

t^2 - 2*t + 7

comment: LMFDB 1.7.ac. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.d:

t^2 + 3*t + 7

comment: LMFDB 1.7.d. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.ad:

t^2 - 3*t + 7

comment: LMFDB 1.7.ad. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.e:

t^2 + 4*t + 7

comment: LMFDB 1.7.e. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.ae:

t^2 - 4*t + 7

comment: LMFDB 1.7.ae. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.f:

t^2 + 5*t + 7

comment: LMFDB 1.7.f. The class is simple, has p-rank 1, and is ordinary.

1

7

1.7.af:

t^2 - 5*t + 7

comment: LMFDB 1.7.af. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.a:

t^2 + 11

comment: LMFDB 1.11.a. The class is simple, has p-rank 0, and is not ordinary.

1

11

1.11.b:

t^2 + t + 11

comment: LMFDB 1.11.b. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.ab:

t^2 - t + 11

comment: LMFDB 1.11.ab. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.c:

t^2 + 2*t + 11

comment: LMFDB 1.11.c. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.ac:

t^2 - 2*t + 11

comment: LMFDB 1.11.ac. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.d:

t^2 + 3*t + 11

comment: LMFDB 1.11.d. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.ad:

t^2 - 3*t + 11

comment: LMFDB 1.11.ad. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.e:

t^2 + 4*t + 11

comment: LMFDB 1.11.e. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.ae:

t^2 - 4*t + 11

comment: LMFDB 1.11.ae. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.f:

t^2 + 5*t + 11

comment: LMFDB 1.11.f. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.af:

t^2 - 5*t + 11

comment: LMFDB 1.11.af. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.g:

t^2 + 6*t + 11

comment: LMFDB 1.11.g. The class is simple, has p-rank 1, and is ordinary.

1

11

1.11.ag:

t^2 - 6*t + 11

comment: LMFDB 1.11.ag. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.a:

t^2 + 13

comment: LMFDB 1.13.a. The class is simple, has p-rank 0, and is not ordinary.

1

13

1.13.b:

t^2 + t + 13

comment: LMFDB 1.13.b. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.ab:

t^2 - t + 13

comment: LMFDB 1.13.ab. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.c:

t^2 + 2*t + 13

comment: LMFDB 1.13.c. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.ac:

t^2 - 2*t + 13

comment: LMFDB 1.13.ac. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.d:

t^2 + 3*t + 13

comment: LMFDB 1.13.d. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.ad:

t^2 - 3*t + 13

comment: LMFDB 1.13.ad. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.e:

t^2 + 4*t + 13

comment: LMFDB 1.13.e. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.ae:

t^2 - 4*t + 13

comment: LMFDB 1.13.ae. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.f:

t^2 + 5*t + 13

comment: LMFDB 1.13.f. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.af:

t^2 - 5*t + 13

comment: LMFDB 1.13.af. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.g:

t^2 + 6*t + 13

comment: LMFDB 1.13.g. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.ag:

t^2 - 6*t + 13

comment: LMFDB 1.13.ag. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.h:

t^2 + 7*t + 13

comment: LMFDB 1.13.h. The class is simple, has p-rank 1, and is ordinary.

1

13

1.13.ah:

t^2 - 7*t + 13

comment: LMFDB 1.13.ah. The class is simple, has p-rank 1, and is ordinary.

2

2.2.a_a:

t^4 + 4

comment: LMFDB 2.2.a_a. The class is not simple, has p-rank 0, and is not ordinary.

2

2.2.a_b:

t^4 + t^2 + 4

comment: LMFDB 2.2.a_b. The class is simple, has p-rank 2, and is ordinary.

2

2.2.a_ab:

t^4 - t^2 + 4

comment: LMFDB 2.2.a_ab. The class is simple, has p-rank 2, and is ordinary.

2

2.2.a_c:

t^4 + 2*t^2 + 4

comment: LMFDB 2.2.a_c. The class is simple, has p-rank 0, and is not ordinary.

2

2.2.a_ac:

t^4 - 2*t^2 + 4

comment: LMFDB 2.2.a_ac. The class is simple, has p-rank 0, and is not ordinary.

2

2.2.a_d:

t^4 + 3*t^2 + 4

comment: LMFDB 2.2.a_d. The class is not simple, has p-rank 2, and is ordinary.

2

2.2.a_ad:

t^4 - 3*t^2 + 4

comment: LMFDB 2.2.a_ad. The class is simple, has p-rank 2, and is ordinary.

2

2.2.a_e:

t^4 + 4*t^2 + 4

comment: LMFDB 2.2.a_e. The class is not simple, has p-rank 0, and is not ordinary.

2

2.2.a_ae:

t^4 - 4*t^2 + 4

comment: LMFDB 2.2.a_ae. The class is simple, has p-rank 0, and is not ordinary.

2

2.2.b_a:

t^4 + t^3 + 2*t + 4

comment: LMFDB 2.2.b_a. The class is simple, has p-rank 1, and is not ordinary.

2

2.2.b_b:

t^4 + t^3 + t^2 + 2*t + 4

comment: LMFDB 2.2.b_b. The class is simple, has p-rank 2, and is ordinary.

2

2.2.b_ab:

t^4 + t^3 - t^2 + 2*t + 4

comment: LMFDB 2.2.b_ab. The class is simple, has p-rank 2, and is ordinary.

2

2.2.b_c:

t^4 + t^3 + 2*t^2 + 2*t + 4

comment: LMFDB 2.2.b_c. The class is not simple, has p-rank 1, and is not ordinary.

2

2.2.b_d:

t^4 + t^3 + 3*t^2 + 2*t + 4

comment: LMFDB 2.2.b_d. The class is simple, has p-rank 2, and is ordinary.

2

2.2.b_e:

t^4 + t^3 + 4*t^2 + 2*t + 4

comment: LMFDB 2.2.b_e. The class is not simple, has p-rank 1, and is not ordinary.

2

2.2.ab_a:

t^4 - t^3 - 2*t + 4

comment: LMFDB 2.2.ab_a. The class is simple, has p-rank 1, and is not ordinary.

2

2.2.ab_b:

t^4 - t^3 + t^2 - 2*t + 4

comment: LMFDB 2.2.ab_b. The class is simple, has p-rank 2, and is ordinary.

2

2.2.ab_ab:

t^4 - t^3 - t^2 - 2*t + 4

comment: LMFDB 2.2.ab_ab. The class is simple, has p-rank 2, and is ordinary.

2

2.2.ab_c:

t^4 - t^3 + 2*t^2 - 2*t + 4

comment: LMFDB 2.2.ab_c. The class is not simple, has p-rank 1, and is not ordinary.

2

2.2.ab_d:

t^4 - t^3 + 3*t^2 - 2*t + 4

comment: LMFDB 2.2.ab_d. The class is simple, has p-rank 2, and is ordinary.

2

2.2.ab_e:

t^4 - t^3 + 4*t^2 - 2*t + 4

comment: LMFDB 2.2.ab_e. The class is not simple, has p-rank 1, and is not ordinary.

2

2.2.c_c:

t^4 + 2*t^3 + 2*t^2 + 4*t + 4

comment: LMFDB 2.2.c_c. The class is simple, has p-rank 0, and is not ordinary.

2

2.2.c_d:

t^4 + 2*t^3 + 3*t^2 + 4*t + 4

comment: LMFDB 2.2.c_d. The class is simple, has p-rank 2, and is ordinary.

2

2.2.c_e:

t^4 + 2*t^3 + 4*t^2 + 4*t + 4

comment: LMFDB 2.2.c_e. The class is not simple, has p-rank 0, and is not ordinary.

2

2.2.c_f:

t^4 + 2*t^3 + 5*t^2 + 4*t + 4

comment: LMFDB 2.2.c_f. The class is not simple, has p-rank 2, and is ordinary.

2

2.2.ac_c:

t^4 - 2*t^3 + 2*t^2 - 4*t + 4

comment: LMFDB 2.2.ac_c. The class is simple, has p-rank 0, and is not ordinary.

2

2.2.ac_d:

t^4 - 2*t^3 + 3*t^2 - 4*t + 4

comment: LMFDB 2.2.ac_d. The class is simple, has p-rank 2, and is ordinary.

2

2.2.ac_e:

t^4 - 2*t^3 + 4*t^2 - 4*t + 4

comment: LMFDB 2.2.ac_e. The class is not simple, has p-rank 0, and is not ordinary.

2

2.2.ac_f:

t^4 - 2*t^3 + 5*t^2 - 4*t + 4

comment: LMFDB 2.2.ac_f. The class is not simple, has p-rank 2, and is ordinary.

2

2.2.d_f:

t^4 + 3*t^3 + 5*t^2 + 6*t + 4

comment: LMFDB 2.2.d_f. The class is simple, has p-rank 2, and is ordinary.

2

2.2.d_g:

t^4 + 3*t^3 + 6*t^2 + 6*t + 4

comment: LMFDB 2.2.d_g. The class is not simple, has p-rank 1, and is not ordinary.

2

2.2.ad_f:

t^4 - 3*t^3 + 5*t^2 - 6*t + 4

comment: LMFDB 2.2.ad_f. The class is simple, has p-rank 2, and is ordinary.

2

2.2.ad_g:

t^4 - 3*t^3 + 6*t^2 - 6*t + 4

comment: LMFDB 2.2.ad_g. The class is not simple, has p-rank 1, and is not ordinary.

2

2.2.e_i:

t^4 + 4*t^3 + 8*t^2 + 8*t + 4

comment: LMFDB 2.2.e_i. The class is not simple, has p-rank 0, and is not ordinary.

2

2.2.ae_i:

t^4 - 4*t^3 + 8*t^2 - 8*t + 4

comment: LMFDB 2.2.ae_i. The class is not simple, has p-rank 0, and is not ordinary.

2

3

2.3.a_a:

t^4 + 9

comment: LMFDB 2.3.a_a. The class is simple, has p-rank 0, and is not ordinary.

2

3

2.3.a_b:

t^4 + t^2 + 9

comment: LMFDB 2.3.a_b. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.a_ab:

t^4 - t^2 + 9

comment: LMFDB 2.3.a_ab. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.a_c:

t^4 + 2*t^2 + 9

comment: LMFDB 2.3.a_c. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.a_ac:

t^4 - 2*t^2 + 9

comment: LMFDB 2.3.a_ac. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.a_d:

t^4 + 3*t^2 + 9

comment: LMFDB 2.3.a_d. The class is simple, has p-rank 0, and is not ordinary.

2

3

2.3.a_ad:

t^4 - 3*t^2 + 9

comment: LMFDB 2.3.a_ad. The class is not simple, has p-rank 0, and is not ordinary.

2

3

2.3.a_e:

t^4 + 4*t^2 + 9

comment: LMFDB 2.3.a_e. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.a_ae:

t^4 - 4*t^2 + 9

comment: LMFDB 2.3.a_ae. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.a_f:

t^4 + 5*t^2 + 9

comment: LMFDB 2.3.a_f. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.a_af:

t^4 - 5*t^2 + 9

comment: LMFDB 2.3.a_af. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.a_g:

t^4 + 6*t^2 + 9

comment: LMFDB 2.3.a_g. The class is not simple, has p-rank 0, and is not ordinary.

2

3

2.3.a_ag:

t^4 - 6*t^2 + 9

comment: LMFDB 2.3.a_ag. The class is simple, has p-rank 0, and is not ordinary.

2

3

2.3.b_a:

t^4 + t^3 + 3*t + 9

comment: LMFDB 2.3.b_a. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.b_b:

t^4 + t^3 + t^2 + 3*t + 9

comment: LMFDB 2.3.b_b. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.b_ab:

t^4 + t^3 - t^2 + 3*t + 9

comment: LMFDB 2.3.b_ab. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.b_c:

t^4 + t^3 + 2*t^2 + 3*t + 9

comment: LMFDB 2.3.b_c. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.b_ac:

t^4 + t^3 - 2*t^2 + 3*t + 9

comment: LMFDB 2.3.b_ac. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.b_d:

t^4 + t^3 + 3*t^2 + 3*t + 9

comment: LMFDB 2.3.b_d. The class is simple, has p-rank 1, and is not ordinary.

2

3

2.3.b_e:

t^4 + t^3 + 4*t^2 + 3*t + 9

comment: LMFDB 2.3.b_e. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.b_f:

t^4 + t^3 + 5*t^2 + 3*t + 9

comment: LMFDB 2.3.b_f. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.b_g:

t^4 + t^3 + 6*t^2 + 3*t + 9

comment: LMFDB 2.3.b_g. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.ab_a:

t^4 - t^3 - 3*t + 9

comment: LMFDB 2.3.ab_a. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.ab_b:

t^4 - t^3 + t^2 - 3*t + 9

comment: LMFDB 2.3.ab_b. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ab_ab:

t^4 - t^3 - t^2 - 3*t + 9

comment: LMFDB 2.3.ab_ab. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ab_c:

t^4 - t^3 + 2*t^2 - 3*t + 9

comment: LMFDB 2.3.ab_c. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ab_ac:

t^4 - t^3 - 2*t^2 - 3*t + 9

comment: LMFDB 2.3.ab_ac. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ab_d:

t^4 - t^3 + 3*t^2 - 3*t + 9

comment: LMFDB 2.3.ab_d. The class is simple, has p-rank 1, and is not ordinary.

2

3

2.3.ab_e:

t^4 - t^3 + 4*t^2 - 3*t + 9

comment: LMFDB 2.3.ab_e. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.ab_f:

t^4 - t^3 + 5*t^2 - 3*t + 9

comment: LMFDB 2.3.ab_f. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ab_g:

t^4 - t^3 + 6*t^2 - 3*t + 9

comment: LMFDB 2.3.ab_g. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.c_b:

t^4 + 2*t^3 + t^2 + 6*t + 9

comment: LMFDB 2.3.c_b. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.c_c:

t^4 + 2*t^3 + 2*t^2 + 6*t + 9

comment: LMFDB 2.3.c_c. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.c_d:

t^4 + 2*t^3 + 3*t^2 + 6*t + 9

comment: LMFDB 2.3.c_d. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.c_e:

t^4 + 2*t^3 + 4*t^2 + 6*t + 9

comment: LMFDB 2.3.c_e. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.c_f:

t^4 + 2*t^3 + 5*t^2 + 6*t + 9

comment: LMFDB 2.3.c_f. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.c_g:

t^4 + 2*t^3 + 6*t^2 + 6*t + 9

comment: LMFDB 2.3.c_g. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.c_h:

t^4 + 2*t^3 + 7*t^2 + 6*t + 9

comment: LMFDB 2.3.c_h. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.ac_b:

t^4 - 2*t^3 + t^2 - 6*t + 9

comment: LMFDB 2.3.ac_b. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ac_c:

t^4 - 2*t^3 + 2*t^2 - 6*t + 9

comment: LMFDB 2.3.ac_c. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ac_d:

t^4 - 2*t^3 + 3*t^2 - 6*t + 9

comment: LMFDB 2.3.ac_d. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.ac_e:

t^4 - 2*t^3 + 4*t^2 - 6*t + 9

comment: LMFDB 2.3.ac_e. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ac_f:

t^4 - 2*t^3 + 5*t^2 - 6*t + 9

comment: LMFDB 2.3.ac_f. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ac_g:

t^4 - 2*t^3 + 6*t^2 - 6*t + 9

comment: LMFDB 2.3.ac_g. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.ac_h:

t^4 - 2*t^3 + 7*t^2 - 6*t + 9

comment: LMFDB 2.3.ac_h. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.d_f:

t^4 + 3*t^3 + 5*t^2 + 9*t + 9

comment: LMFDB 2.3.d_f. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.d_g:

t^4 + 3*t^3 + 6*t^2 + 9*t + 9

comment: LMFDB 2.3.d_g. The class is not simple, has p-rank 0, and is not ordinary.

2

3

2.3.d_h:

t^4 + 3*t^3 + 7*t^2 + 9*t + 9

comment: LMFDB 2.3.d_h. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.d_i:

t^4 + 3*t^3 + 8*t^2 + 9*t + 9

comment: LMFDB 2.3.d_i. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.ad_f:

t^4 - 3*t^3 + 5*t^2 - 9*t + 9

comment: LMFDB 2.3.ad_f. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ad_g:

t^4 - 3*t^3 + 6*t^2 - 9*t + 9

comment: LMFDB 2.3.ad_g. The class is not simple, has p-rank 0, and is not ordinary.

2

3

2.3.ad_h:

t^4 - 3*t^3 + 7*t^2 - 9*t + 9

comment: LMFDB 2.3.ad_h. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ad_i:

t^4 - 3*t^3 + 8*t^2 - 9*t + 9

comment: LMFDB 2.3.ad_i. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.e_i:

t^4 + 4*t^3 + 8*t^2 + 12*t + 9

comment: LMFDB 2.3.e_i. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.e_j:

t^4 + 4*t^3 + 9*t^2 + 12*t + 9

comment: LMFDB 2.3.e_j. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.e_k:

t^4 + 4*t^3 + 10*t^2 + 12*t + 9

comment: LMFDB 2.3.e_k. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.ae_i:

t^4 - 4*t^3 + 8*t^2 - 12*t + 9

comment: LMFDB 2.3.ae_i. The class is simple, has p-rank 2, and is ordinary.

2

3

2.3.ae_j:

t^4 - 4*t^3 + 9*t^2 - 12*t + 9

comment: LMFDB 2.3.ae_j. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.ae_k:

t^4 - 4*t^3 + 10*t^2 - 12*t + 9

comment: LMFDB 2.3.ae_k. The class is not simple, has p-rank 2, and is ordinary.

2

3

2.3.f_m:

t^4 + 5*t^3 + 12*t^2 + 15*t + 9

comment: LMFDB 2.3.f_m. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.af_m:

t^4 - 5*t^3 + 12*t^2 - 15*t + 9

comment: LMFDB 2.3.af_m. The class is not simple, has p-rank 1, and is not ordinary.

2

3

2.3.g_p:

t^4 + 6*t^3 + 15*t^2 + 18*t + 9

comment: LMFDB 2.3.g_p. The class is not simple, has p-rank 0, and is not ordinary.

2

3

2.3.ag_p:

t^4 - 6*t^3 + 15*t^2 - 18*t + 9

comment: LMFDB 2.3.ag_p. The class is not simple, has p-rank 0, and is not ordinary.

2

5

2.5.a_a:

t^4 + 25

comment: LMFDB 2.5.a_a. The class is simple, has p-rank 0, and is not ordinary.

2

5

2.5.a_b:

t^4 + t^2 + 25

comment: LMFDB 2.5.a_b. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ab:

t^4 - t^2 + 25

comment: LMFDB 2.5.a_ab. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_c:

t^4 + 2*t^2 + 25

comment: LMFDB 2.5.a_c. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ac:

t^4 - 2*t^2 + 25

comment: LMFDB 2.5.a_ac. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_d:

t^4 + 3*t^2 + 25

comment: LMFDB 2.5.a_d. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ad:

t^4 - 3*t^2 + 25

comment: LMFDB 2.5.a_ad. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_e:

t^4 + 4*t^2 + 25

comment: LMFDB 2.5.a_e. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ae:

t^4 - 4*t^2 + 25

comment: LMFDB 2.5.a_ae. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_f:

t^4 + 5*t^2 + 25

comment: LMFDB 2.5.a_f. The class is simple, has p-rank 0, and is not ordinary.

2

5

2.5.a_af:

t^4 - 5*t^2 + 25

comment: LMFDB 2.5.a_af. The class is simple, has p-rank 0, and is not ordinary.

2

5

2.5.a_g:

t^4 + 6*t^2 + 25

comment: LMFDB 2.5.a_g. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ag:

t^4 - 6*t^2 + 25

comment: LMFDB 2.5.a_ag. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.a_h:

t^4 + 7*t^2 + 25

comment: LMFDB 2.5.a_h. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ah:

t^4 - 7*t^2 + 25

comment: LMFDB 2.5.a_ah. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_i:

t^4 + 8*t^2 + 25

comment: LMFDB 2.5.a_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_ai:

t^4 - 8*t^2 + 25

comment: LMFDB 2.5.a_ai. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_j:

t^4 + 9*t^2 + 25

comment: LMFDB 2.5.a_j. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.a_aj:

t^4 - 9*t^2 + 25

comment: LMFDB 2.5.a_aj. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.a_k:

t^4 + 10*t^2 + 25

comment: LMFDB 2.5.a_k. The class is not simple, has p-rank 0, and is not ordinary.

2

5

2.5.a_ak:

t^4 - 10*t^2 + 25

comment: LMFDB 2.5.a_ak. The class is simple, has p-rank 0, and is not ordinary.

2

5

2.5.b_a:

t^4 + t^3 + 5*t + 25

comment: LMFDB 2.5.b_a. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.b_b:

t^4 + t^3 + t^2 + 5*t + 25

comment: LMFDB 2.5.b_b. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_ab:

t^4 + t^3 - t^2 + 5*t + 25

comment: LMFDB 2.5.b_ab. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_c:

t^4 + t^3 + 2*t^2 + 5*t + 25

comment: LMFDB 2.5.b_c. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_ac:

t^4 + t^3 - 2*t^2 + 5*t + 25

comment: LMFDB 2.5.b_ac. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.b_d:

t^4 + t^3 + 3*t^2 + 5*t + 25

comment: LMFDB 2.5.b_d. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_ad:

t^4 + t^3 - 3*t^2 + 5*t + 25

comment: LMFDB 2.5.b_ad. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_e:

t^4 + t^3 + 4*t^2 + 5*t + 25

comment: LMFDB 2.5.b_e. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.b_ae:

t^4 + t^3 - 4*t^2 + 5*t + 25

comment: LMFDB 2.5.b_ae. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_f:

t^4 + t^3 + 5*t^2 + 5*t + 25

comment: LMFDB 2.5.b_f. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.b_af:

t^4 + t^3 - 5*t^2 + 5*t + 25

comment: LMFDB 2.5.b_af. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.b_g:

t^4 + t^3 + 6*t^2 + 5*t + 25

comment: LMFDB 2.5.b_g. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_h:

t^4 + t^3 + 7*t^2 + 5*t + 25

comment: LMFDB 2.5.b_h. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_i:

t^4 + t^3 + 8*t^2 + 5*t + 25

comment: LMFDB 2.5.b_i. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.b_j:

t^4 + t^3 + 9*t^2 + 5*t + 25

comment: LMFDB 2.5.b_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.b_k:

t^4 + t^3 + 10*t^2 + 5*t + 25

comment: LMFDB 2.5.b_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.ab_a:

t^4 - t^3 - 5*t + 25

comment: LMFDB 2.5.ab_a. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.ab_b:

t^4 - t^3 + t^2 - 5*t + 25

comment: LMFDB 2.5.ab_b. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_ab:

t^4 - t^3 - t^2 - 5*t + 25

comment: LMFDB 2.5.ab_ab. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_c:

t^4 - t^3 + 2*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_c. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_ac:

t^4 - t^3 - 2*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_ac. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_d:

t^4 - t^3 + 3*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_d. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_ad:

t^4 - t^3 - 3*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_ad. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_e:

t^4 - t^3 + 4*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_e. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_ae:

t^4 - t^3 - 4*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_ae. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_f:

t^4 - t^3 + 5*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_f. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.ab_af:

t^4 - t^3 - 5*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_af. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.ab_g:

t^4 - t^3 + 6*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_g. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_h:

t^4 - t^3 + 7*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_h. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_i:

t^4 - t^3 + 8*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_i. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_j:

t^4 - t^3 + 9*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ab_k:

t^4 - t^3 + 10*t^2 - 5*t + 25

comment: LMFDB 2.5.ab_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.c_a:

t^4 + 2*t^3 + 10*t + 25

comment: LMFDB 2.5.c_a. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.c_b:

t^4 + 2*t^3 + t^2 + 10*t + 25

comment: LMFDB 2.5.c_b. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_ab:

t^4 + 2*t^3 - t^2 + 10*t + 25

comment: LMFDB 2.5.c_ab. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_c:

t^4 + 2*t^3 + 2*t^2 + 10*t + 25

comment: LMFDB 2.5.c_c. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.c_d:

t^4 + 2*t^3 + 3*t^2 + 10*t + 25

comment: LMFDB 2.5.c_d. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_e:

t^4 + 2*t^3 + 4*t^2 + 10*t + 25

comment: LMFDB 2.5.c_e. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_f:

t^4 + 2*t^3 + 5*t^2 + 10*t + 25

comment: LMFDB 2.5.c_f. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.c_g:

t^4 + 2*t^3 + 6*t^2 + 10*t + 25

comment: LMFDB 2.5.c_g. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_h:

t^4 + 2*t^3 + 7*t^2 + 10*t + 25

comment: LMFDB 2.5.c_h. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.c_i:

t^4 + 2*t^3 + 8*t^2 + 10*t + 25

comment: LMFDB 2.5.c_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_j:

t^4 + 2*t^3 + 9*t^2 + 10*t + 25

comment: LMFDB 2.5.c_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.c_k:

t^4 + 2*t^3 + 10*t^2 + 10*t + 25

comment: LMFDB 2.5.c_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.c_l:

t^4 + 2*t^3 + 11*t^2 + 10*t + 25

comment: LMFDB 2.5.c_l. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_a:

t^4 - 2*t^3 - 10*t + 25

comment: LMFDB 2.5.ac_a. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.ac_b:

t^4 - 2*t^3 + t^2 - 10*t + 25

comment: LMFDB 2.5.ac_b. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_ab:

t^4 - 2*t^3 - t^2 - 10*t + 25

comment: LMFDB 2.5.ac_ab. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_c:

t^4 - 2*t^3 + 2*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_c. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_d:

t^4 - 2*t^3 + 3*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_d. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_e:

t^4 - 2*t^3 + 4*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_e. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_f:

t^4 - 2*t^3 + 5*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_f. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.ac_g:

t^4 - 2*t^3 + 6*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_g. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_h:

t^4 - 2*t^3 + 7*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_h. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_i:

t^4 - 2*t^3 + 8*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_j:

t^4 - 2*t^3 + 9*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ac_k:

t^4 - 2*t^3 + 10*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.ac_l:

t^4 - 2*t^3 + 11*t^2 - 10*t + 25

comment: LMFDB 2.5.ac_l. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.d_e:

t^4 + 3*t^3 + 4*t^2 + 15*t + 25

comment: LMFDB 2.5.d_e. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.d_f:

t^4 + 3*t^3 + 5*t^2 + 15*t + 25

comment: LMFDB 2.5.d_f. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.d_g:

t^4 + 3*t^3 + 6*t^2 + 15*t + 25

comment: LMFDB 2.5.d_g. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.d_h:

t^4 + 3*t^3 + 7*t^2 + 15*t + 25

comment: LMFDB 2.5.d_h. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.d_i:

t^4 + 3*t^3 + 8*t^2 + 15*t + 25

comment: LMFDB 2.5.d_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.d_j:

t^4 + 3*t^3 + 9*t^2 + 15*t + 25

comment: LMFDB 2.5.d_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.d_k:

t^4 + 3*t^3 + 10*t^2 + 15*t + 25

comment: LMFDB 2.5.d_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.d_l:

t^4 + 3*t^3 + 11*t^2 + 15*t + 25

comment: LMFDB 2.5.d_l. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.d_m:

t^4 + 3*t^3 + 12*t^2 + 15*t + 25

comment: LMFDB 2.5.d_m. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_e:

t^4 - 3*t^3 + 4*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_e. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_f:

t^4 - 3*t^3 + 5*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_f. The class is simple, has p-rank 1, and is not ordinary.

2

5

2.5.ad_g:

t^4 - 3*t^3 + 6*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_g. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_h:

t^4 - 3*t^3 + 7*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_h. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_i:

t^4 - 3*t^3 + 8*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_j:

t^4 - 3*t^3 + 9*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_k:

t^4 - 3*t^3 + 10*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.ad_l:

t^4 - 3*t^3 + 11*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_l. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ad_m:

t^4 - 3*t^3 + 12*t^2 - 15*t + 25

comment: LMFDB 2.5.ad_m. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.e_i:

t^4 + 4*t^3 + 8*t^2 + 20*t + 25

comment: LMFDB 2.5.e_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.e_j:

t^4 + 4*t^3 + 9*t^2 + 20*t + 25

comment: LMFDB 2.5.e_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.e_k:

t^4 + 4*t^3 + 10*t^2 + 20*t + 25

comment: LMFDB 2.5.e_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.e_l:

t^4 + 4*t^3 + 11*t^2 + 20*t + 25

comment: LMFDB 2.5.e_l. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.e_m:

t^4 + 4*t^3 + 12*t^2 + 20*t + 25

comment: LMFDB 2.5.e_m. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.e_n:

t^4 + 4*t^3 + 13*t^2 + 20*t + 25

comment: LMFDB 2.5.e_n. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.e_o:

t^4 + 4*t^3 + 14*t^2 + 20*t + 25

comment: LMFDB 2.5.e_o. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ae_i:

t^4 - 4*t^3 + 8*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_i. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ae_j:

t^4 - 4*t^3 + 9*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_j. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ae_k:

t^4 - 4*t^3 + 10*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_k. The class is not simple, has p-rank 1, and is not ordinary.

2

5

2.5.ae_l:

t^4 - 4*t^3 + 11*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_l. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ae_m:

t^4 - 4*t^3 + 12*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_m. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ae_n:

t^4 - 4*t^3 + 13*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_n. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ae_o:

t^4 - 4*t^3 + 14*t^2 - 20*t + 25

comment: LMFDB 2.5.ae_o. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.f_n:

t^4 + 5*t^3 + 13*t^2 + 25*t + 25

comment: LMFDB 2.5.f_n. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.f_o:

t^4 + 5*t^3 + 14*t^2 + 25*t + 25

comment: LMFDB 2.5.f_o. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.f_p:

t^4 + 5*t^3 + 15*t^2 + 25*t + 25

comment: LMFDB 2.5.f_p. The class is simple, has p-rank 0, and is not ordinary.

2

5

2.5.f_q:

t^4 + 5*t^3 + 16*t^2 + 25*t + 25

comment: LMFDB 2.5.f_q. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.af_n:

t^4 - 5*t^3 + 13*t^2 - 25*t + 25

comment: LMFDB 2.5.af_n. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.af_o:

t^4 - 5*t^3 + 14*t^2 - 25*t + 25

comment: LMFDB 2.5.af_o. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.af_p:

t^4 - 5*t^3 + 15*t^2 - 25*t + 25

comment: LMFDB 2.5.af_p. The class is simple, has p-rank 0, and is not ordinary.

2

5

2.5.af_q:

t^4 - 5*t^3 + 16*t^2 - 25*t + 25

comment: LMFDB 2.5.af_q. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.g_r:

t^4 + 6*t^3 + 17*t^2 + 30*t + 25

comment: LMFDB 2.5.g_r. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.g_s:

t^4 + 6*t^3 + 18*t^2 + 30*t + 25

comment: LMFDB 2.5.g_s. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.g_t:

t^4 + 6*t^3 + 19*t^2 + 30*t + 25

comment: LMFDB 2.5.g_t. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ag_r:

t^4 - 6*t^3 + 17*t^2 - 30*t + 25

comment: LMFDB 2.5.ag_r. The class is simple, has p-rank 2, and is ordinary.

2

5

2.5.ag_s:

t^4 - 6*t^3 + 18*t^2 - 30*t + 25

comment: LMFDB 2.5.ag_s. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ag_t:

t^4 - 6*t^3 + 19*t^2 - 30*t + 25

comment: LMFDB 2.5.ag_t. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.h_w:

t^4 + 7*t^3 + 22*t^2 + 35*t + 25

comment: LMFDB 2.5.h_w. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ah_w:

t^4 - 7*t^3 + 22*t^2 - 35*t + 25

comment: LMFDB 2.5.ah_w. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.i_ba:

t^4 + 8*t^3 + 26*t^2 + 40*t + 25

comment: LMFDB 2.5.i_ba. The class is not simple, has p-rank 2, and is ordinary.

2

5

2.5.ai_ba:

t^4 - 8*t^3 + 26*t^2 - 40*t + 25

comment: LMFDB 2.5.ai_ba. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.a_a:

t^4 + 49

comment: LMFDB 2.7.a_a. The class is simple, has p-rank 0, and is not ordinary.

2

7

2.7.a_b:

t^4 + t^2 + 49

comment: LMFDB 2.7.a_b. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ab:

t^4 - t^2 + 49

comment: LMFDB 2.7.a_ab. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_c:

t^4 + 2*t^2 + 49

comment: LMFDB 2.7.a_c. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ac:

t^4 - 2*t^2 + 49

comment: LMFDB 2.7.a_ac. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.a_d:

t^4 + 3*t^2 + 49

comment: LMFDB 2.7.a_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ad:

t^4 - 3*t^2 + 49

comment: LMFDB 2.7.a_ad. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_e:

t^4 + 4*t^2 + 49

comment: LMFDB 2.7.a_e. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ae:

t^4 - 4*t^2 + 49

comment: LMFDB 2.7.a_ae. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_f:

t^4 + 5*t^2 + 49

comment: LMFDB 2.7.a_f. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.a_af:

t^4 - 5*t^2 + 49

comment: LMFDB 2.7.a_af. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_g:

t^4 + 6*t^2 + 49

comment: LMFDB 2.7.a_g. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ag:

t^4 - 6*t^2 + 49

comment: LMFDB 2.7.a_ag. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_h:

t^4 + 7*t^2 + 49

comment: LMFDB 2.7.a_h. The class is simple, has p-rank 0, and is not ordinary.

2

7

2.7.a_ah:

t^4 - 7*t^2 + 49

comment: LMFDB 2.7.a_ah. The class is simple, has p-rank 0, and is not ordinary.

2

7

2.7.a_i:

t^4 + 8*t^2 + 49

comment: LMFDB 2.7.a_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ai:

t^4 - 8*t^2 + 49

comment: LMFDB 2.7.a_ai. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_j:

t^4 + 9*t^2 + 49

comment: LMFDB 2.7.a_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_aj:

t^4 - 9*t^2 + 49

comment: LMFDB 2.7.a_aj. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_k:

t^4 + 10*t^2 + 49

comment: LMFDB 2.7.a_k. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.a_ak:

t^4 - 10*t^2 + 49

comment: LMFDB 2.7.a_ak. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_l:

t^4 + 11*t^2 + 49

comment: LMFDB 2.7.a_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_al:

t^4 - 11*t^2 + 49

comment: LMFDB 2.7.a_al. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.a_m:

t^4 + 12*t^2 + 49

comment: LMFDB 2.7.a_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_am:

t^4 - 12*t^2 + 49

comment: LMFDB 2.7.a_am. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_n:

t^4 + 13*t^2 + 49

comment: LMFDB 2.7.a_n. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.a_an:

t^4 - 13*t^2 + 49

comment: LMFDB 2.7.a_an. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.a_o:

t^4 + 14*t^2 + 49

comment: LMFDB 2.7.a_o. The class is not simple, has p-rank 0, and is not ordinary.

2

7

2.7.a_ao:

t^4 - 14*t^2 + 49

comment: LMFDB 2.7.a_ao. The class is simple, has p-rank 0, and is not ordinary.

2

7

2.7.b_a:

t^4 + t^3 + 7*t + 49

comment: LMFDB 2.7.b_a. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.b_b:

t^4 + t^3 + t^2 + 7*t + 49

comment: LMFDB 2.7.b_b. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_ab:

t^4 + t^3 - t^2 + 7*t + 49

comment: LMFDB 2.7.b_ab. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_c:

t^4 + t^3 + 2*t^2 + 7*t + 49

comment: LMFDB 2.7.b_c. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.b_ac:

t^4 + t^3 - 2*t^2 + 7*t + 49

comment: LMFDB 2.7.b_ac. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_d:

t^4 + t^3 + 3*t^2 + 7*t + 49

comment: LMFDB 2.7.b_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_ad:

t^4 + t^3 - 3*t^2 + 7*t + 49

comment: LMFDB 2.7.b_ad. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_e:

t^4 + t^3 + 4*t^2 + 7*t + 49

comment: LMFDB 2.7.b_e. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_ae:

t^4 + t^3 - 4*t^2 + 7*t + 49

comment: LMFDB 2.7.b_ae. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_f:

t^4 + t^3 + 5*t^2 + 7*t + 49

comment: LMFDB 2.7.b_f. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_af:

t^4 + t^3 - 5*t^2 + 7*t + 49

comment: LMFDB 2.7.b_af. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_g:

t^4 + t^3 + 6*t^2 + 7*t + 49

comment: LMFDB 2.7.b_g. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_ag:

t^4 + t^3 - 6*t^2 + 7*t + 49

comment: LMFDB 2.7.b_ag. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.b_h:

t^4 + t^3 + 7*t^2 + 7*t + 49

comment: LMFDB 2.7.b_h. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.b_ah:

t^4 + t^3 - 7*t^2 + 7*t + 49

comment: LMFDB 2.7.b_ah. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.b_i:

t^4 + t^3 + 8*t^2 + 7*t + 49

comment: LMFDB 2.7.b_i. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.b_ai:

t^4 + t^3 - 8*t^2 + 7*t + 49

comment: LMFDB 2.7.b_ai. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_j:

t^4 + t^3 + 9*t^2 + 7*t + 49

comment: LMFDB 2.7.b_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_k:

t^4 + t^3 + 10*t^2 + 7*t + 49

comment: LMFDB 2.7.b_k. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_l:

t^4 + t^3 + 11*t^2 + 7*t + 49

comment: LMFDB 2.7.b_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_m:

t^4 + t^3 + 12*t^2 + 7*t + 49

comment: LMFDB 2.7.b_m. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.b_n:

t^4 + t^3 + 13*t^2 + 7*t + 49

comment: LMFDB 2.7.b_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.b_o:

t^4 + t^3 + 14*t^2 + 7*t + 49

comment: LMFDB 2.7.b_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.ab_a:

t^4 - t^3 - 7*t + 49

comment: LMFDB 2.7.ab_a. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ab_b:

t^4 - t^3 + t^2 - 7*t + 49

comment: LMFDB 2.7.ab_b. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_ab:

t^4 - t^3 - t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ab. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_c:

t^4 - t^3 + 2*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_c. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_ac:

t^4 - t^3 - 2*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ac. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_d:

t^4 - t^3 + 3*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_ad:

t^4 - t^3 - 3*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ad. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_e:

t^4 - t^3 + 4*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_e. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_ae:

t^4 - t^3 - 4*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ae. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_f:

t^4 - t^3 + 5*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_f. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_af:

t^4 - t^3 - 5*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_af. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_g:

t^4 - t^3 + 6*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_g. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_ag:

t^4 - t^3 - 6*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ag. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_h:

t^4 - t^3 + 7*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_h. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ab_ah:

t^4 - t^3 - 7*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ah. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ab_i:

t^4 - t^3 + 8*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_i. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_ai:

t^4 - t^3 - 8*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_ai. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_j:

t^4 - t^3 + 9*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_k:

t^4 - t^3 + 10*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_k. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_l:

t^4 - t^3 + 11*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_m:

t^4 - t^3 + 12*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_m. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_n:

t^4 - t^3 + 13*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ab_o:

t^4 - t^3 + 14*t^2 - 7*t + 49

comment: LMFDB 2.7.ab_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.c_a:

t^4 + 2*t^3 + 14*t + 49

comment: LMFDB 2.7.c_a. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.c_b:

t^4 + 2*t^3 + t^2 + 14*t + 49

comment: LMFDB 2.7.c_b. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_ab:

t^4 + 2*t^3 - t^2 + 14*t + 49

comment: LMFDB 2.7.c_ab. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.c_c:

t^4 + 2*t^3 + 2*t^2 + 14*t + 49

comment: LMFDB 2.7.c_c. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_ac:

t^4 + 2*t^3 - 2*t^2 + 14*t + 49

comment: LMFDB 2.7.c_ac. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_d:

t^4 + 2*t^3 + 3*t^2 + 14*t + 49

comment: LMFDB 2.7.c_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_ad:

t^4 + 2*t^3 - 3*t^2 + 14*t + 49

comment: LMFDB 2.7.c_ad. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_e:

t^4 + 2*t^3 + 4*t^2 + 14*t + 49

comment: LMFDB 2.7.c_e. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_f:

t^4 + 2*t^3 + 5*t^2 + 14*t + 49

comment: LMFDB 2.7.c_f. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_g:

t^4 + 2*t^3 + 6*t^2 + 14*t + 49

comment: LMFDB 2.7.c_g. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.c_h:

t^4 + 2*t^3 + 7*t^2 + 14*t + 49

comment: LMFDB 2.7.c_h. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.c_i:

t^4 + 2*t^3 + 8*t^2 + 14*t + 49

comment: LMFDB 2.7.c_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_j:

t^4 + 2*t^3 + 9*t^2 + 14*t + 49

comment: LMFDB 2.7.c_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_k:

t^4 + 2*t^3 + 10*t^2 + 14*t + 49

comment: LMFDB 2.7.c_k. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_l:

t^4 + 2*t^3 + 11*t^2 + 14*t + 49

comment: LMFDB 2.7.c_l. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.c_m:

t^4 + 2*t^3 + 12*t^2 + 14*t + 49

comment: LMFDB 2.7.c_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_n:

t^4 + 2*t^3 + 13*t^2 + 14*t + 49

comment: LMFDB 2.7.c_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.c_o:

t^4 + 2*t^3 + 14*t^2 + 14*t + 49

comment: LMFDB 2.7.c_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.c_p:

t^4 + 2*t^3 + 15*t^2 + 14*t + 49

comment: LMFDB 2.7.c_p. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_a:

t^4 - 2*t^3 - 14*t + 49

comment: LMFDB 2.7.ac_a. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ac_b:

t^4 - 2*t^3 + t^2 - 14*t + 49

comment: LMFDB 2.7.ac_b. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_ab:

t^4 - 2*t^3 - t^2 - 14*t + 49

comment: LMFDB 2.7.ac_ab. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_c:

t^4 - 2*t^3 + 2*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_c. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_ac:

t^4 - 2*t^3 - 2*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_ac. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_d:

t^4 - 2*t^3 + 3*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_ad:

t^4 - 2*t^3 - 3*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_ad. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_e:

t^4 - 2*t^3 + 4*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_e. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_f:

t^4 - 2*t^3 + 5*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_f. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_g:

t^4 - 2*t^3 + 6*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_g. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_h:

t^4 - 2*t^3 + 7*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_h. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ac_i:

t^4 - 2*t^3 + 8*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_j:

t^4 - 2*t^3 + 9*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_k:

t^4 - 2*t^3 + 10*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_k. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_l:

t^4 - 2*t^3 + 11*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_l. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_m:

t^4 - 2*t^3 + 12*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_n:

t^4 - 2*t^3 + 13*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ac_o:

t^4 - 2*t^3 + 14*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.ac_p:

t^4 - 2*t^3 + 15*t^2 - 14*t + 49

comment: LMFDB 2.7.ac_p. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.d_c:

t^4 + 3*t^3 + 2*t^2 + 21*t + 49

comment: LMFDB 2.7.d_c. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_d:

t^4 + 3*t^3 + 3*t^2 + 21*t + 49

comment: LMFDB 2.7.d_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_e:

t^4 + 3*t^3 + 4*t^2 + 21*t + 49

comment: LMFDB 2.7.d_e. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.d_f:

t^4 + 3*t^3 + 5*t^2 + 21*t + 49

comment: LMFDB 2.7.d_f. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_g:

t^4 + 3*t^3 + 6*t^2 + 21*t + 49

comment: LMFDB 2.7.d_g. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_h:

t^4 + 3*t^3 + 7*t^2 + 21*t + 49

comment: LMFDB 2.7.d_h. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.d_i:

t^4 + 3*t^3 + 8*t^2 + 21*t + 49

comment: LMFDB 2.7.d_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_j:

t^4 + 3*t^3 + 9*t^2 + 21*t + 49

comment: LMFDB 2.7.d_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_k:

t^4 + 3*t^3 + 10*t^2 + 21*t + 49

comment: LMFDB 2.7.d_k. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.d_l:

t^4 + 3*t^3 + 11*t^2 + 21*t + 49

comment: LMFDB 2.7.d_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_m:

t^4 + 3*t^3 + 12*t^2 + 21*t + 49

comment: LMFDB 2.7.d_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_n:

t^4 + 3*t^3 + 13*t^2 + 21*t + 49

comment: LMFDB 2.7.d_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_o:

t^4 + 3*t^3 + 14*t^2 + 21*t + 49

comment: LMFDB 2.7.d_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.d_p:

t^4 + 3*t^3 + 15*t^2 + 21*t + 49

comment: LMFDB 2.7.d_p. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.d_q:

t^4 + 3*t^3 + 16*t^2 + 21*t + 49

comment: LMFDB 2.7.d_q. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_c:

t^4 - 3*t^3 + 2*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_c. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_d:

t^4 - 3*t^3 + 3*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_d. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_e:

t^4 - 3*t^3 + 4*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_e. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_f:

t^4 - 3*t^3 + 5*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_f. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_g:

t^4 - 3*t^3 + 6*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_g. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_h:

t^4 - 3*t^3 + 7*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_h. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ad_i:

t^4 - 3*t^3 + 8*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_j:

t^4 - 3*t^3 + 9*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_j. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_k:

t^4 - 3*t^3 + 10*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_k. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_l:

t^4 - 3*t^3 + 11*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_m:

t^4 - 3*t^3 + 12*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_n:

t^4 - 3*t^3 + 13*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_o:

t^4 - 3*t^3 + 14*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.ad_p:

t^4 - 3*t^3 + 15*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_p. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ad_q:

t^4 - 3*t^3 + 16*t^2 - 21*t + 49

comment: LMFDB 2.7.ad_q. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.e_i:

t^4 + 4*t^3 + 8*t^2 + 28*t + 49

comment: LMFDB 2.7.e_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_j:

t^4 + 4*t^3 + 9*t^2 + 28*t + 49

comment: LMFDB 2.7.e_j. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.e_k:

t^4 + 4*t^3 + 10*t^2 + 28*t + 49

comment: LMFDB 2.7.e_k. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_l:

t^4 + 4*t^3 + 11*t^2 + 28*t + 49

comment: LMFDB 2.7.e_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_m:

t^4 + 4*t^3 + 12*t^2 + 28*t + 49

comment: LMFDB 2.7.e_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_n:

t^4 + 4*t^3 + 13*t^2 + 28*t + 49

comment: LMFDB 2.7.e_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_o:

t^4 + 4*t^3 + 14*t^2 + 28*t + 49

comment: LMFDB 2.7.e_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.e_p:

t^4 + 4*t^3 + 15*t^2 + 28*t + 49

comment: LMFDB 2.7.e_p. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_q:

t^4 + 4*t^3 + 16*t^2 + 28*t + 49

comment: LMFDB 2.7.e_q. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.e_r:

t^4 + 4*t^3 + 17*t^2 + 28*t + 49

comment: LMFDB 2.7.e_r. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.e_s:

t^4 + 4*t^3 + 18*t^2 + 28*t + 49

comment: LMFDB 2.7.e_s. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_i:

t^4 - 4*t^3 + 8*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_i. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_j:

t^4 - 4*t^3 + 9*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_j. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_k:

t^4 - 4*t^3 + 10*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_k. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_l:

t^4 - 4*t^3 + 11*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_l. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_m:

t^4 - 4*t^3 + 12*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_m. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_n:

t^4 - 4*t^3 + 13*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_o:

t^4 - 4*t^3 + 14*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.ae_p:

t^4 - 4*t^3 + 15*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_p. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_q:

t^4 - 4*t^3 + 16*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_q. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_r:

t^4 - 4*t^3 + 17*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_r. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ae_s:

t^4 - 4*t^3 + 18*t^2 - 28*t + 49

comment: LMFDB 2.7.ae_s. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.f_n:

t^4 + 5*t^3 + 13*t^2 + 35*t + 49

comment: LMFDB 2.7.f_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.f_o:

t^4 + 5*t^3 + 14*t^2 + 35*t + 49

comment: LMFDB 2.7.f_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.f_p:

t^4 + 5*t^3 + 15*t^2 + 35*t + 49

comment: LMFDB 2.7.f_p. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.f_q:

t^4 + 5*t^3 + 16*t^2 + 35*t + 49

comment: LMFDB 2.7.f_q. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.f_r:

t^4 + 5*t^3 + 17*t^2 + 35*t + 49

comment: LMFDB 2.7.f_r. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.f_s:

t^4 + 5*t^3 + 18*t^2 + 35*t + 49

comment: LMFDB 2.7.f_s. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.f_t:

t^4 + 5*t^3 + 19*t^2 + 35*t + 49

comment: LMFDB 2.7.f_t. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.f_u:

t^4 + 5*t^3 + 20*t^2 + 35*t + 49

comment: LMFDB 2.7.f_u. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.af_n:

t^4 - 5*t^3 + 13*t^2 - 35*t + 49

comment: LMFDB 2.7.af_n. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.af_o:

t^4 - 5*t^3 + 14*t^2 - 35*t + 49

comment: LMFDB 2.7.af_o. The class is not simple, has p-rank 1, and is not ordinary.

2

7

2.7.af_p:

t^4 - 5*t^3 + 15*t^2 - 35*t + 49

comment: LMFDB 2.7.af_p. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.af_q:

t^4 - 5*t^3 + 16*t^2 - 35*t + 49

comment: LMFDB 2.7.af_q. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.af_r:

t^4 - 5*t^3 + 17*t^2 - 35*t + 49

comment: LMFDB 2.7.af_r. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.af_s:

t^4 - 5*t^3 + 18*t^2 - 35*t + 49

comment: LMFDB 2.7.af_s. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.af_t:

t^4 - 5*t^3 + 19*t^2 - 35*t + 49

comment: LMFDB 2.7.af_t. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.af_u:

t^4 - 5*t^3 + 20*t^2 - 35*t + 49

comment: LMFDB 2.7.af_u. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.g_s:

t^4 + 6*t^3 + 18*t^2 + 42*t + 49

comment: LMFDB 2.7.g_s. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.g_t:

t^4 + 6*t^3 + 19*t^2 + 42*t + 49

comment: LMFDB 2.7.g_t. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.g_u:

t^4 + 6*t^3 + 20*t^2 + 42*t + 49

comment: LMFDB 2.7.g_u. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.g_v:

t^4 + 6*t^3 + 21*t^2 + 42*t + 49

comment: LMFDB 2.7.g_v. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.g_w:

t^4 + 6*t^3 + 22*t^2 + 42*t + 49

comment: LMFDB 2.7.g_w. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.g_x:

t^4 + 6*t^3 + 23*t^2 + 42*t + 49

comment: LMFDB 2.7.g_x. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ag_s:

t^4 - 6*t^3 + 18*t^2 - 42*t + 49

comment: LMFDB 2.7.ag_s. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ag_t:

t^4 - 6*t^3 + 19*t^2 - 42*t + 49

comment: LMFDB 2.7.ag_t. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ag_u:

t^4 - 6*t^3 + 20*t^2 - 42*t + 49

comment: LMFDB 2.7.ag_u. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ag_v:

t^4 - 6*t^3 + 21*t^2 - 42*t + 49

comment: LMFDB 2.7.ag_v. The class is simple, has p-rank 1, and is not ordinary.

2

7

2.7.ag_w:

t^4 - 6*t^3 + 22*t^2 - 42*t + 49

comment: LMFDB 2.7.ag_w. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ag_x:

t^4 - 6*t^3 + 23*t^2 - 42*t + 49

comment: LMFDB 2.7.ag_x. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.h_y:

t^4 + 7*t^3 + 24*t^2 + 49*t + 49

comment: LMFDB 2.7.h_y. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.h_z:

t^4 + 7*t^3 + 25*t^2 + 49*t + 49

comment: LMFDB 2.7.h_z. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.h_ba:

t^4 + 7*t^3 + 26*t^2 + 49*t + 49

comment: LMFDB 2.7.h_ba. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ah_y:

t^4 - 7*t^3 + 24*t^2 - 49*t + 49

comment: LMFDB 2.7.ah_y. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ah_z:

t^4 - 7*t^3 + 25*t^2 - 49*t + 49

comment: LMFDB 2.7.ah_z. The class is simple, has p-rank 2, and is ordinary.

2

7

2.7.ah_ba:

t^4 - 7*t^3 + 26*t^2 - 49*t + 49

comment: LMFDB 2.7.ah_ba. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.i_bd:

t^4 + 8*t^3 + 29*t^2 + 56*t + 49

comment: LMFDB 2.7.i_bd. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.i_be:

t^4 + 8*t^3 + 30*t^2 + 56*t + 49

comment: LMFDB 2.7.i_be. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ai_bd:

t^4 - 8*t^3 + 29*t^2 - 56*t + 49

comment: LMFDB 2.7.ai_bd. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ai_be:

t^4 - 8*t^3 + 30*t^2 - 56*t + 49

comment: LMFDB 2.7.ai_be. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.j_bi:

t^4 + 9*t^3 + 34*t^2 + 63*t + 49

comment: LMFDB 2.7.j_bi. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.aj_bi:

t^4 - 9*t^3 + 34*t^2 - 63*t + 49

comment: LMFDB 2.7.aj_bi. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.k_bn:

t^4 + 10*t^3 + 39*t^2 + 70*t + 49

comment: LMFDB 2.7.k_bn. The class is not simple, has p-rank 2, and is ordinary.

2

7

2.7.ak_bn:

t^4 - 10*t^3 + 39*t^2 - 70*t + 49

comment: LMFDB 2.7.ak_bn. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_a:

t^4 + 121

comment: LMFDB 2.11.a_a. The class is simple, has p-rank 0, and is not ordinary.

2

11

2.11.a_ab:

t^4 - t^2 + 121

comment: LMFDB 2.11.a_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ac:

t^4 - 2*t^2 + 121

comment: LMFDB 2.11.a_ac. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ad:

t^4 - 3*t^2 + 121

comment: LMFDB 2.11.a_ad. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ae:

t^4 - 4*t^2 + 121

comment: LMFDB 2.11.a_ae. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_af:

t^4 - 5*t^2 + 121

comment: LMFDB 2.11.a_af. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ag:

t^4 - 6*t^2 + 121

comment: LMFDB 2.11.a_ag. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ah:

t^4 - 7*t^2 + 121

comment: LMFDB 2.11.a_ah. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ai:

t^4 - 8*t^2 + 121

comment: LMFDB 2.11.a_ai. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_aj:

t^4 - 9*t^2 + 121

comment: LMFDB 2.11.a_aj. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ak:

t^4 - 10*t^2 + 121

comment: LMFDB 2.11.a_ak. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_al:

t^4 - 11*t^2 + 121

comment: LMFDB 2.11.a_al. The class is simple, has p-rank 0, and is not ordinary.

2

11

2.11.a_am:

t^4 - 12*t^2 + 121

comment: LMFDB 2.11.a_am. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_an:

t^4 - 13*t^2 + 121

comment: LMFDB 2.11.a_an. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ao:

t^4 - 14*t^2 + 121

comment: LMFDB 2.11.a_ao. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ap:

t^4 - 15*t^2 + 121

comment: LMFDB 2.11.a_ap. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_aq:

t^4 - 16*t^2 + 121

comment: LMFDB 2.11.a_aq. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_ar:

t^4 - 17*t^2 + 121

comment: LMFDB 2.11.a_ar. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_as:

t^4 - 18*t^2 + 121

comment: LMFDB 2.11.a_as. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_at:

t^4 - 19*t^2 + 121

comment: LMFDB 2.11.a_at. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_au:

t^4 - 20*t^2 + 121

comment: LMFDB 2.11.a_au. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_av:

t^4 - 21*t^2 + 121

comment: LMFDB 2.11.a_av. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_aw:

t^4 - 22*t^2 + 121

comment: LMFDB 2.11.a_aw. The class is not simple, has p-rank 0, and is not ordinary.

2

11

2.11.a_b:

t^4 + t^2 + 121

comment: LMFDB 2.11.a_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_c:

t^4 + 2*t^2 + 121

comment: LMFDB 2.11.a_c. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_d:

t^4 + 3*t^2 + 121

comment: LMFDB 2.11.a_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_e:

t^4 + 4*t^2 + 121

comment: LMFDB 2.11.a_e. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_f:

t^4 + 5*t^2 + 121

comment: LMFDB 2.11.a_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_g:

t^4 + 6*t^2 + 121

comment: LMFDB 2.11.a_g. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_h:

t^4 + 7*t^2 + 121

comment: LMFDB 2.11.a_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_i:

t^4 + 8*t^2 + 121

comment: LMFDB 2.11.a_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_j:

t^4 + 9*t^2 + 121

comment: LMFDB 2.11.a_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_k:

t^4 + 10*t^2 + 121

comment: LMFDB 2.11.a_k. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_l:

t^4 + 11*t^2 + 121

comment: LMFDB 2.11.a_l. The class is simple, has p-rank 0, and is not ordinary.

2

11

2.11.a_m:

t^4 + 12*t^2 + 121

comment: LMFDB 2.11.a_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_n:

t^4 + 13*t^2 + 121

comment: LMFDB 2.11.a_n. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_o:

t^4 + 14*t^2 + 121

comment: LMFDB 2.11.a_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_p:

t^4 + 15*t^2 + 121

comment: LMFDB 2.11.a_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_q:

t^4 + 16*t^2 + 121

comment: LMFDB 2.11.a_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_r:

t^4 + 17*t^2 + 121

comment: LMFDB 2.11.a_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_s:

t^4 + 18*t^2 + 121

comment: LMFDB 2.11.a_s. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_t:

t^4 + 19*t^2 + 121

comment: LMFDB 2.11.a_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_u:

t^4 + 20*t^2 + 121

comment: LMFDB 2.11.a_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.a_v:

t^4 + 21*t^2 + 121

comment: LMFDB 2.11.a_v. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.a_w:

t^4 + 22*t^2 + 121

comment: LMFDB 2.11.a_w. The class is not simple, has p-rank 0, and is not ordinary.

2

11

2.11.ab_a:

t^4 - t^3 - 11*t + 121

comment: LMFDB 2.11.ab_a. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ab_ab:

t^4 - t^3 - t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ac:

t^4 - t^3 - 2*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ac. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ad:

t^4 - t^3 - 3*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ad. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ae:

t^4 - t^3 - 4*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ae. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_af:

t^4 - t^3 - 5*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_af. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ag:

t^4 - t^3 - 6*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ag. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ah:

t^4 - t^3 - 7*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ah. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ai:

t^4 - t^3 - 8*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ai. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_aj:

t^4 - t^3 - 9*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_aj. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ak:

t^4 - t^3 - 10*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ak. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_al:

t^4 - t^3 - 11*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_al. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ab_am:

t^4 - t^3 - 12*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_am. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_an:

t^4 - t^3 - 13*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_an. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ao:

t^4 - t^3 - 14*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ao. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_ap:

t^4 - t^3 - 15*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_ap. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_b:

t^4 - t^3 + t^2 - 11*t + 121

comment: LMFDB 2.11.ab_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_c:

t^4 - t^3 + 2*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_c. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_d:

t^4 - t^3 + 3*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_e:

t^4 - t^3 + 4*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_e. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_f:

t^4 - t^3 + 5*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_g:

t^4 - t^3 + 6*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_h:

t^4 - t^3 + 7*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_i:

t^4 - t^3 + 8*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_j:

t^4 - t^3 + 9*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_k:

t^4 - t^3 + 10*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_k. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_l:

t^4 - t^3 + 11*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ab_m:

t^4 - t^3 + 12*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_n:

t^4 - t^3 + 13*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_o:

t^4 - t^3 + 14*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_p:

t^4 - t^3 + 15*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_q:

t^4 - t^3 + 16*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_q. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_r:

t^4 - t^3 + 17*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_s:

t^4 - t^3 + 18*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_t:

t^4 - t^3 + 19*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_u:

t^4 - t^3 + 20*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_u. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_v:

t^4 - t^3 + 21*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ab_w:

t^4 - t^3 + 22*t^2 - 11*t + 121

comment: LMFDB 2.11.ab_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.ac_a:

t^4 - 2*t^3 - 22*t + 121

comment: LMFDB 2.11.ac_a. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ac_ab:

t^4 - 2*t^3 - t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_ac:

t^4 - 2*t^3 - 2*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ac. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_ad:

t^4 - 2*t^3 - 3*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ad. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_ae:

t^4 - 2*t^3 - 4*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ae. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_af:

t^4 - 2*t^3 - 5*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_af. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_ag:

t^4 - 2*t^3 - 6*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ag. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_ah:

t^4 - 2*t^3 - 7*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ah. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_ai:

t^4 - 2*t^3 - 8*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_ai. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_b:

t^4 - 2*t^3 + t^2 - 22*t + 121

comment: LMFDB 2.11.ac_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_c:

t^4 - 2*t^3 + 2*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_c. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_d:

t^4 - 2*t^3 + 3*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_e:

t^4 - 2*t^3 + 4*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_e. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_f:

t^4 - 2*t^3 + 5*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_g:

t^4 - 2*t^3 + 6*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_h:

t^4 - 2*t^3 + 7*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_h. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_i:

t^4 - 2*t^3 + 8*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_j:

t^4 - 2*t^3 + 9*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_k:

t^4 - 2*t^3 + 10*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_k. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_l:

t^4 - 2*t^3 + 11*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ac_m:

t^4 - 2*t^3 + 12*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_n:

t^4 - 2*t^3 + 13*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_o:

t^4 - 2*t^3 + 14*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_o. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_p:

t^4 - 2*t^3 + 15*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_q:

t^4 - 2*t^3 + 16*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_r:

t^4 - 2*t^3 + 17*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_s:

t^4 - 2*t^3 + 18*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_t:

t^4 - 2*t^3 + 19*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_t. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_u:

t^4 - 2*t^3 + 20*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_v:

t^4 - 2*t^3 + 21*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ac_w:

t^4 - 2*t^3 + 22*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.ac_x:

t^4 - 2*t^3 + 23*t^2 - 22*t + 121

comment: LMFDB 2.11.ac_x. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_a:

t^4 - 3*t^3 - 33*t + 121

comment: LMFDB 2.11.ad_a. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ad_ab:

t^4 - 3*t^3 - t^2 - 33*t + 121

comment: LMFDB 2.11.ad_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_ac:

t^4 - 3*t^3 - 2*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_ac. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_b:

t^4 - 3*t^3 + t^2 - 33*t + 121

comment: LMFDB 2.11.ad_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_c:

t^4 - 3*t^3 + 2*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_c. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_d:

t^4 - 3*t^3 + 3*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_e:

t^4 - 3*t^3 + 4*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_e. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_f:

t^4 - 3*t^3 + 5*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_g:

t^4 - 3*t^3 + 6*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_h:

t^4 - 3*t^3 + 7*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_i:

t^4 - 3*t^3 + 8*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_j:

t^4 - 3*t^3 + 9*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_k:

t^4 - 3*t^3 + 10*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_k. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_l:

t^4 - 3*t^3 + 11*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ad_m:

t^4 - 3*t^3 + 12*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_m. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_n:

t^4 - 3*t^3 + 13*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_o:

t^4 - 3*t^3 + 14*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_p:

t^4 - 3*t^3 + 15*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_q:

t^4 - 3*t^3 + 16*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_r:

t^4 - 3*t^3 + 17*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_s:

t^4 - 3*t^3 + 18*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_s. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_t:

t^4 - 3*t^3 + 19*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_u:

t^4 - 3*t^3 + 20*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_v:

t^4 - 3*t^3 + 21*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_w:

t^4 - 3*t^3 + 22*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.ad_x:

t^4 - 3*t^3 + 23*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ad_y:

t^4 - 3*t^3 + 24*t^2 - 33*t + 121

comment: LMFDB 2.11.ad_y. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_ba:

t^4 - 4*t^3 + 26*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_ba. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_f:

t^4 - 4*t^3 + 5*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_g:

t^4 - 4*t^3 + 6*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_h:

t^4 - 4*t^3 + 7*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_i:

t^4 - 4*t^3 + 8*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_j:

t^4 - 4*t^3 + 9*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_k:

t^4 - 4*t^3 + 10*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_k. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_l:

t^4 - 4*t^3 + 11*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ae_m:

t^4 - 4*t^3 + 12*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_n:

t^4 - 4*t^3 + 13*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_o:

t^4 - 4*t^3 + 14*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_p:

t^4 - 4*t^3 + 15*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_q:

t^4 - 4*t^3 + 16*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_r:

t^4 - 4*t^3 + 17*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_r. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_s:

t^4 - 4*t^3 + 18*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_t:

t^4 - 4*t^3 + 19*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_u:

t^4 - 4*t^3 + 20*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_v:

t^4 - 4*t^3 + 21*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_w:

t^4 - 4*t^3 + 22*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.ae_x:

t^4 - 4*t^3 + 23*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_y:

t^4 - 4*t^3 + 24*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_y. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ae_z:

t^4 - 4*t^3 + 25*t^2 - 44*t + 121

comment: LMFDB 2.11.ae_z. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.af_ba:

t^4 - 5*t^3 + 26*t^2 - 55*t + 121

comment: LMFDB 2.11.af_ba. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.af_bb:

t^4 - 5*t^3 + 27*t^2 - 55*t + 121

comment: LMFDB 2.11.af_bb. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_bc:

t^4 - 5*t^3 + 28*t^2 - 55*t + 121

comment: LMFDB 2.11.af_bc. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.af_m:

t^4 - 5*t^3 + 12*t^2 - 55*t + 121

comment: LMFDB 2.11.af_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_n:

t^4 - 5*t^3 + 13*t^2 - 55*t + 121

comment: LMFDB 2.11.af_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_o:

t^4 - 5*t^3 + 14*t^2 - 55*t + 121

comment: LMFDB 2.11.af_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_p:

t^4 - 5*t^3 + 15*t^2 - 55*t + 121

comment: LMFDB 2.11.af_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_q:

t^4 - 5*t^3 + 16*t^2 - 55*t + 121

comment: LMFDB 2.11.af_q. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.af_r:

t^4 - 5*t^3 + 17*t^2 - 55*t + 121

comment: LMFDB 2.11.af_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_s:

t^4 - 5*t^3 + 18*t^2 - 55*t + 121

comment: LMFDB 2.11.af_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_t:

t^4 - 5*t^3 + 19*t^2 - 55*t + 121

comment: LMFDB 2.11.af_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_u:

t^4 - 5*t^3 + 20*t^2 - 55*t + 121

comment: LMFDB 2.11.af_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_v:

t^4 - 5*t^3 + 21*t^2 - 55*t + 121

comment: LMFDB 2.11.af_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_w:

t^4 - 5*t^3 + 22*t^2 - 55*t + 121

comment: LMFDB 2.11.af_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.af_x:

t^4 - 5*t^3 + 23*t^2 - 55*t + 121

comment: LMFDB 2.11.af_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_y:

t^4 - 5*t^3 + 24*t^2 - 55*t + 121

comment: LMFDB 2.11.af_y. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.af_z:

t^4 - 5*t^3 + 25*t^2 - 55*t + 121

comment: LMFDB 2.11.af_z. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_ba:

t^4 - 6*t^3 + 26*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_ba. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_bb:

t^4 - 6*t^3 + 27*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_bb. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_bc:

t^4 - 6*t^3 + 28*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_bc. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_bd:

t^4 - 6*t^3 + 29*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_bd. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_be:

t^4 - 6*t^3 + 30*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_be. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_bf:

t^4 - 6*t^3 + 31*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_bf. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_s:

t^4 - 6*t^3 + 18*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_t:

t^4 - 6*t^3 + 19*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_u:

t^4 - 6*t^3 + 20*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_v:

t^4 - 6*t^3 + 21*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_w:

t^4 - 6*t^3 + 22*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.ag_x:

t^4 - 6*t^3 + 23*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_y:

t^4 - 6*t^3 + 24*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_y. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ag_z:

t^4 - 6*t^3 + 25*t^2 - 66*t + 121

comment: LMFDB 2.11.ag_z. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_ba:

t^4 - 7*t^3 + 26*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_ba. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_bb:

t^4 - 7*t^3 + 27*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bb. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_bc:

t^4 - 7*t^3 + 28*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bc. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_bd:

t^4 - 7*t^3 + 29*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bd. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_be:

t^4 - 7*t^3 + 30*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_be. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_bf:

t^4 - 7*t^3 + 31*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bf. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_bg:

t^4 - 7*t^3 + 32*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bg. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_bh:

t^4 - 7*t^3 + 33*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bh. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ah_bi:

t^4 - 7*t^3 + 34*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_bi. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ah_z:

t^4 - 7*t^3 + 25*t^2 - 77*t + 121

comment: LMFDB 2.11.ah_z. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ai_bg:

t^4 - 8*t^3 + 32*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bg. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ai_bh:

t^4 - 8*t^3 + 33*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bh. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.ai_bi:

t^4 - 8*t^3 + 34*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bi. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ai_bj:

t^4 - 8*t^3 + 35*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bj. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ai_bk:

t^4 - 8*t^3 + 36*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bk. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ai_bl:

t^4 - 8*t^3 + 37*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bl. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ai_bm:

t^4 - 8*t^3 + 38*t^2 - 88*t + 121

comment: LMFDB 2.11.ai_bm. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.aj_bm:

t^4 - 9*t^3 + 38*t^2 - 99*t + 121

comment: LMFDB 2.11.aj_bm. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.aj_bn:

t^4 - 9*t^3 + 39*t^2 - 99*t + 121

comment: LMFDB 2.11.aj_bn. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.aj_bo:

t^4 - 9*t^3 + 40*t^2 - 99*t + 121

comment: LMFDB 2.11.aj_bo. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.aj_bp:

t^4 - 9*t^3 + 41*t^2 - 99*t + 121

comment: LMFDB 2.11.aj_bp. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.aj_bq:

t^4 - 9*t^3 + 42*t^2 - 99*t + 121

comment: LMFDB 2.11.aj_bq. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ak_bt:

t^4 - 10*t^3 + 45*t^2 - 110*t + 121

comment: LMFDB 2.11.ak_bt. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.ak_bu:

t^4 - 10*t^3 + 46*t^2 - 110*t + 121

comment: LMFDB 2.11.ak_bu. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.ak_bv:

t^4 - 10*t^3 + 47*t^2 - 110*t + 121

comment: LMFDB 2.11.ak_bv. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.al_bz:

t^4 - 11*t^3 + 51*t^2 - 121*t + 121

comment: LMFDB 2.11.al_bz. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.al_ca:

t^4 - 11*t^3 + 52*t^2 - 121*t + 121

comment: LMFDB 2.11.al_ca. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.am_cg:

t^4 - 12*t^3 + 58*t^2 - 132*t + 121

comment: LMFDB 2.11.am_cg. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.b_a:

t^4 + t^3 + 11*t + 121

comment: LMFDB 2.11.b_a. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.b_ab:

t^4 + t^3 - t^2 + 11*t + 121

comment: LMFDB 2.11.b_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ac:

t^4 + t^3 - 2*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ac. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ad:

t^4 + t^3 - 3*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ad. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ae:

t^4 + t^3 - 4*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ae. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_af:

t^4 + t^3 - 5*t^2 + 11*t + 121

comment: LMFDB 2.11.b_af. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ag:

t^4 + t^3 - 6*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ag. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ah:

t^4 + t^3 - 7*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ah. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ai:

t^4 + t^3 - 8*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ai. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.b_aj:

t^4 + t^3 - 9*t^2 + 11*t + 121

comment: LMFDB 2.11.b_aj. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ak:

t^4 + t^3 - 10*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ak. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_al:

t^4 + t^3 - 11*t^2 + 11*t + 121

comment: LMFDB 2.11.b_al. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.b_am:

t^4 + t^3 - 12*t^2 + 11*t + 121

comment: LMFDB 2.11.b_am. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_an:

t^4 + t^3 - 13*t^2 + 11*t + 121

comment: LMFDB 2.11.b_an. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ao:

t^4 + t^3 - 14*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ao. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_ap:

t^4 + t^3 - 15*t^2 + 11*t + 121

comment: LMFDB 2.11.b_ap. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_b:

t^4 + t^3 + t^2 + 11*t + 121

comment: LMFDB 2.11.b_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_c:

t^4 + t^3 + 2*t^2 + 11*t + 121

comment: LMFDB 2.11.b_c. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.b_d:

t^4 + t^3 + 3*t^2 + 11*t + 121

comment: LMFDB 2.11.b_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_e:

t^4 + t^3 + 4*t^2 + 11*t + 121

comment: LMFDB 2.11.b_e. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_f:

t^4 + t^3 + 5*t^2 + 11*t + 121

comment: LMFDB 2.11.b_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_g:

t^4 + t^3 + 6*t^2 + 11*t + 121

comment: LMFDB 2.11.b_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_h:

t^4 + t^3 + 7*t^2 + 11*t + 121

comment: LMFDB 2.11.b_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_i:

t^4 + t^3 + 8*t^2 + 11*t + 121

comment: LMFDB 2.11.b_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_j:

t^4 + t^3 + 9*t^2 + 11*t + 121

comment: LMFDB 2.11.b_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_k:

t^4 + t^3 + 10*t^2 + 11*t + 121

comment: LMFDB 2.11.b_k. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.b_l:

t^4 + t^3 + 11*t^2 + 11*t + 121

comment: LMFDB 2.11.b_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.b_m:

t^4 + t^3 + 12*t^2 + 11*t + 121

comment: LMFDB 2.11.b_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_n:

t^4 + t^3 + 13*t^2 + 11*t + 121

comment: LMFDB 2.11.b_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_o:

t^4 + t^3 + 14*t^2 + 11*t + 121

comment: LMFDB 2.11.b_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_p:

t^4 + t^3 + 15*t^2 + 11*t + 121

comment: LMFDB 2.11.b_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_q:

t^4 + t^3 + 16*t^2 + 11*t + 121

comment: LMFDB 2.11.b_q. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.b_r:

t^4 + t^3 + 17*t^2 + 11*t + 121

comment: LMFDB 2.11.b_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_s:

t^4 + t^3 + 18*t^2 + 11*t + 121

comment: LMFDB 2.11.b_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_t:

t^4 + t^3 + 19*t^2 + 11*t + 121

comment: LMFDB 2.11.b_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_u:

t^4 + t^3 + 20*t^2 + 11*t + 121

comment: LMFDB 2.11.b_u. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.b_v:

t^4 + t^3 + 21*t^2 + 11*t + 121

comment: LMFDB 2.11.b_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.b_w:

t^4 + t^3 + 22*t^2 + 11*t + 121

comment: LMFDB 2.11.b_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.c_a:

t^4 + 2*t^3 + 22*t + 121

comment: LMFDB 2.11.c_a. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.c_ab:

t^4 + 2*t^3 - t^2 + 22*t + 121

comment: LMFDB 2.11.c_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_ac:

t^4 + 2*t^3 - 2*t^2 + 22*t + 121

comment: LMFDB 2.11.c_ac. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.c_ad:

t^4 + 2*t^3 - 3*t^2 + 22*t + 121

comment: LMFDB 2.11.c_ad. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_ae:

t^4 + 2*t^3 - 4*t^2 + 22*t + 121

comment: LMFDB 2.11.c_ae. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_af:

t^4 + 2*t^3 - 5*t^2 + 22*t + 121

comment: LMFDB 2.11.c_af. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_ag:

t^4 + 2*t^3 - 6*t^2 + 22*t + 121

comment: LMFDB 2.11.c_ag. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_ah:

t^4 + 2*t^3 - 7*t^2 + 22*t + 121

comment: LMFDB 2.11.c_ah. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_ai:

t^4 + 2*t^3 - 8*t^2 + 22*t + 121

comment: LMFDB 2.11.c_ai. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_b:

t^4 + 2*t^3 + t^2 + 22*t + 121

comment: LMFDB 2.11.c_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_c:

t^4 + 2*t^3 + 2*t^2 + 22*t + 121

comment: LMFDB 2.11.c_c. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_d:

t^4 + 2*t^3 + 3*t^2 + 22*t + 121

comment: LMFDB 2.11.c_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_e:

t^4 + 2*t^3 + 4*t^2 + 22*t + 121

comment: LMFDB 2.11.c_e. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_f:

t^4 + 2*t^3 + 5*t^2 + 22*t + 121

comment: LMFDB 2.11.c_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_g:

t^4 + 2*t^3 + 6*t^2 + 22*t + 121

comment: LMFDB 2.11.c_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_h:

t^4 + 2*t^3 + 7*t^2 + 22*t + 121

comment: LMFDB 2.11.c_h. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.c_i:

t^4 + 2*t^3 + 8*t^2 + 22*t + 121

comment: LMFDB 2.11.c_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_j:

t^4 + 2*t^3 + 9*t^2 + 22*t + 121

comment: LMFDB 2.11.c_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_k:

t^4 + 2*t^3 + 10*t^2 + 22*t + 121

comment: LMFDB 2.11.c_k. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_l:

t^4 + 2*t^3 + 11*t^2 + 22*t + 121

comment: LMFDB 2.11.c_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.c_m:

t^4 + 2*t^3 + 12*t^2 + 22*t + 121

comment: LMFDB 2.11.c_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_n:

t^4 + 2*t^3 + 13*t^2 + 22*t + 121

comment: LMFDB 2.11.c_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_o:

t^4 + 2*t^3 + 14*t^2 + 22*t + 121

comment: LMFDB 2.11.c_o. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.c_p:

t^4 + 2*t^3 + 15*t^2 + 22*t + 121

comment: LMFDB 2.11.c_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_q:

t^4 + 2*t^3 + 16*t^2 + 22*t + 121

comment: LMFDB 2.11.c_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_r:

t^4 + 2*t^3 + 17*t^2 + 22*t + 121

comment: LMFDB 2.11.c_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_s:

t^4 + 2*t^3 + 18*t^2 + 22*t + 121

comment: LMFDB 2.11.c_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_t:

t^4 + 2*t^3 + 19*t^2 + 22*t + 121

comment: LMFDB 2.11.c_t. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.c_u:

t^4 + 2*t^3 + 20*t^2 + 22*t + 121

comment: LMFDB 2.11.c_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_v:

t^4 + 2*t^3 + 21*t^2 + 22*t + 121

comment: LMFDB 2.11.c_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.c_w:

t^4 + 2*t^3 + 22*t^2 + 22*t + 121

comment: LMFDB 2.11.c_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.c_x:

t^4 + 2*t^3 + 23*t^2 + 22*t + 121

comment: LMFDB 2.11.c_x. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.d_a:

t^4 + 3*t^3 + 33*t + 121

comment: LMFDB 2.11.d_a. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.d_ab:

t^4 + 3*t^3 - t^2 + 33*t + 121

comment: LMFDB 2.11.d_ab. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_ac:

t^4 + 3*t^3 - 2*t^2 + 33*t + 121

comment: LMFDB 2.11.d_ac. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_b:

t^4 + 3*t^3 + t^2 + 33*t + 121

comment: LMFDB 2.11.d_b. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_c:

t^4 + 3*t^3 + 2*t^2 + 33*t + 121

comment: LMFDB 2.11.d_c. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_d:

t^4 + 3*t^3 + 3*t^2 + 33*t + 121

comment: LMFDB 2.11.d_d. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_e:

t^4 + 3*t^3 + 4*t^2 + 33*t + 121

comment: LMFDB 2.11.d_e. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.d_f:

t^4 + 3*t^3 + 5*t^2 + 33*t + 121

comment: LMFDB 2.11.d_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_g:

t^4 + 3*t^3 + 6*t^2 + 33*t + 121

comment: LMFDB 2.11.d_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_h:

t^4 + 3*t^3 + 7*t^2 + 33*t + 121

comment: LMFDB 2.11.d_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_i:

t^4 + 3*t^3 + 8*t^2 + 33*t + 121

comment: LMFDB 2.11.d_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_j:

t^4 + 3*t^3 + 9*t^2 + 33*t + 121

comment: LMFDB 2.11.d_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_k:

t^4 + 3*t^3 + 10*t^2 + 33*t + 121

comment: LMFDB 2.11.d_k. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_l:

t^4 + 3*t^3 + 11*t^2 + 33*t + 121

comment: LMFDB 2.11.d_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.d_m:

t^4 + 3*t^3 + 12*t^2 + 33*t + 121

comment: LMFDB 2.11.d_m. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.d_n:

t^4 + 3*t^3 + 13*t^2 + 33*t + 121

comment: LMFDB 2.11.d_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_o:

t^4 + 3*t^3 + 14*t^2 + 33*t + 121

comment: LMFDB 2.11.d_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_p:

t^4 + 3*t^3 + 15*t^2 + 33*t + 121

comment: LMFDB 2.11.d_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_q:

t^4 + 3*t^3 + 16*t^2 + 33*t + 121

comment: LMFDB 2.11.d_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_r:

t^4 + 3*t^3 + 17*t^2 + 33*t + 121

comment: LMFDB 2.11.d_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_s:

t^4 + 3*t^3 + 18*t^2 + 33*t + 121

comment: LMFDB 2.11.d_s. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.d_t:

t^4 + 3*t^3 + 19*t^2 + 33*t + 121

comment: LMFDB 2.11.d_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_u:

t^4 + 3*t^3 + 20*t^2 + 33*t + 121

comment: LMFDB 2.11.d_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_v:

t^4 + 3*t^3 + 21*t^2 + 33*t + 121

comment: LMFDB 2.11.d_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_w:

t^4 + 3*t^3 + 22*t^2 + 33*t + 121

comment: LMFDB 2.11.d_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.d_x:

t^4 + 3*t^3 + 23*t^2 + 33*t + 121

comment: LMFDB 2.11.d_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.d_y:

t^4 + 3*t^3 + 24*t^2 + 33*t + 121

comment: LMFDB 2.11.d_y. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.e_ba:

t^4 + 4*t^3 + 26*t^2 + 44*t + 121

comment: LMFDB 2.11.e_ba. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.e_f:

t^4 + 4*t^3 + 5*t^2 + 44*t + 121

comment: LMFDB 2.11.e_f. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_g:

t^4 + 4*t^3 + 6*t^2 + 44*t + 121

comment: LMFDB 2.11.e_g. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_h:

t^4 + 4*t^3 + 7*t^2 + 44*t + 121

comment: LMFDB 2.11.e_h. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_i:

t^4 + 4*t^3 + 8*t^2 + 44*t + 121

comment: LMFDB 2.11.e_i. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_j:

t^4 + 4*t^3 + 9*t^2 + 44*t + 121

comment: LMFDB 2.11.e_j. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_k:

t^4 + 4*t^3 + 10*t^2 + 44*t + 121

comment: LMFDB 2.11.e_k. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.e_l:

t^4 + 4*t^3 + 11*t^2 + 44*t + 121

comment: LMFDB 2.11.e_l. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.e_m:

t^4 + 4*t^3 + 12*t^2 + 44*t + 121

comment: LMFDB 2.11.e_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_n:

t^4 + 4*t^3 + 13*t^2 + 44*t + 121

comment: LMFDB 2.11.e_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_o:

t^4 + 4*t^3 + 14*t^2 + 44*t + 121

comment: LMFDB 2.11.e_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_p:

t^4 + 4*t^3 + 15*t^2 + 44*t + 121

comment: LMFDB 2.11.e_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_q:

t^4 + 4*t^3 + 16*t^2 + 44*t + 121

comment: LMFDB 2.11.e_q. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_r:

t^4 + 4*t^3 + 17*t^2 + 44*t + 121

comment: LMFDB 2.11.e_r. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.e_s:

t^4 + 4*t^3 + 18*t^2 + 44*t + 121

comment: LMFDB 2.11.e_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_t:

t^4 + 4*t^3 + 19*t^2 + 44*t + 121

comment: LMFDB 2.11.e_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_u:

t^4 + 4*t^3 + 20*t^2 + 44*t + 121

comment: LMFDB 2.11.e_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_v:

t^4 + 4*t^3 + 21*t^2 + 44*t + 121

comment: LMFDB 2.11.e_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_w:

t^4 + 4*t^3 + 22*t^2 + 44*t + 121

comment: LMFDB 2.11.e_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.e_x:

t^4 + 4*t^3 + 23*t^2 + 44*t + 121

comment: LMFDB 2.11.e_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_y:

t^4 + 4*t^3 + 24*t^2 + 44*t + 121

comment: LMFDB 2.11.e_y. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.e_z:

t^4 + 4*t^3 + 25*t^2 + 44*t + 121

comment: LMFDB 2.11.e_z. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.f_ba:

t^4 + 5*t^3 + 26*t^2 + 55*t + 121

comment: LMFDB 2.11.f_ba. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.f_bb:

t^4 + 5*t^3 + 27*t^2 + 55*t + 121

comment: LMFDB 2.11.f_bb. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_bc:

t^4 + 5*t^3 + 28*t^2 + 55*t + 121

comment: LMFDB 2.11.f_bc. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.f_m:

t^4 + 5*t^3 + 12*t^2 + 55*t + 121

comment: LMFDB 2.11.f_m. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_n:

t^4 + 5*t^3 + 13*t^2 + 55*t + 121

comment: LMFDB 2.11.f_n. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_o:

t^4 + 5*t^3 + 14*t^2 + 55*t + 121

comment: LMFDB 2.11.f_o. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_p:

t^4 + 5*t^3 + 15*t^2 + 55*t + 121

comment: LMFDB 2.11.f_p. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_q:

t^4 + 5*t^3 + 16*t^2 + 55*t + 121

comment: LMFDB 2.11.f_q. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.f_r:

t^4 + 5*t^3 + 17*t^2 + 55*t + 121

comment: LMFDB 2.11.f_r. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_s:

t^4 + 5*t^3 + 18*t^2 + 55*t + 121

comment: LMFDB 2.11.f_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_t:

t^4 + 5*t^3 + 19*t^2 + 55*t + 121

comment: LMFDB 2.11.f_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_u:

t^4 + 5*t^3 + 20*t^2 + 55*t + 121

comment: LMFDB 2.11.f_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_v:

t^4 + 5*t^3 + 21*t^2 + 55*t + 121

comment: LMFDB 2.11.f_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_w:

t^4 + 5*t^3 + 22*t^2 + 55*t + 121

comment: LMFDB 2.11.f_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.f_x:

t^4 + 5*t^3 + 23*t^2 + 55*t + 121

comment: LMFDB 2.11.f_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_y:

t^4 + 5*t^3 + 24*t^2 + 55*t + 121

comment: LMFDB 2.11.f_y. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.f_z:

t^4 + 5*t^3 + 25*t^2 + 55*t + 121

comment: LMFDB 2.11.f_z. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_ba:

t^4 + 6*t^3 + 26*t^2 + 66*t + 121

comment: LMFDB 2.11.g_ba. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_bb:

t^4 + 6*t^3 + 27*t^2 + 66*t + 121

comment: LMFDB 2.11.g_bb. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.g_bc:

t^4 + 6*t^3 + 28*t^2 + 66*t + 121

comment: LMFDB 2.11.g_bc. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_bd:

t^4 + 6*t^3 + 29*t^2 + 66*t + 121

comment: LMFDB 2.11.g_bd. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_be:

t^4 + 6*t^3 + 30*t^2 + 66*t + 121

comment: LMFDB 2.11.g_be. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.g_bf:

t^4 + 6*t^3 + 31*t^2 + 66*t + 121

comment: LMFDB 2.11.g_bf. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.g_s:

t^4 + 6*t^3 + 18*t^2 + 66*t + 121

comment: LMFDB 2.11.g_s. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_t:

t^4 + 6*t^3 + 19*t^2 + 66*t + 121

comment: LMFDB 2.11.g_t. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_u:

t^4 + 6*t^3 + 20*t^2 + 66*t + 121

comment: LMFDB 2.11.g_u. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_v:

t^4 + 6*t^3 + 21*t^2 + 66*t + 121

comment: LMFDB 2.11.g_v. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_w:

t^4 + 6*t^3 + 22*t^2 + 66*t + 121

comment: LMFDB 2.11.g_w. The class is not simple, has p-rank 1, and is not ordinary.

2

11

2.11.g_x:

t^4 + 6*t^3 + 23*t^2 + 66*t + 121

comment: LMFDB 2.11.g_x. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_y:

t^4 + 6*t^3 + 24*t^2 + 66*t + 121

comment: LMFDB 2.11.g_y. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.g_z:

t^4 + 6*t^3 + 25*t^2 + 66*t + 121

comment: LMFDB 2.11.g_z. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.h_ba:

t^4 + 7*t^3 + 26*t^2 + 77*t + 121

comment: LMFDB 2.11.h_ba. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.h_bb:

t^4 + 7*t^3 + 27*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bb. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.h_bc:

t^4 + 7*t^3 + 28*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bc. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.h_bd:

t^4 + 7*t^3 + 29*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bd. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.h_be:

t^4 + 7*t^3 + 30*t^2 + 77*t + 121

comment: LMFDB 2.11.h_be. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.h_bf:

t^4 + 7*t^3 + 31*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bf. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.h_bg:

t^4 + 7*t^3 + 32*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bg. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.h_bh:

t^4 + 7*t^3 + 33*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bh. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.h_bi:

t^4 + 7*t^3 + 34*t^2 + 77*t + 121

comment: LMFDB 2.11.h_bi. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.h_z:

t^4 + 7*t^3 + 25*t^2 + 77*t + 121

comment: LMFDB 2.11.h_z. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.i_bg:

t^4 + 8*t^3 + 32*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bg. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.i_bh:

t^4 + 8*t^3 + 33*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bh. The class is simple, has p-rank 1, and is not ordinary.

2

11

2.11.i_bi:

t^4 + 8*t^3 + 34*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bi. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.i_bj:

t^4 + 8*t^3 + 35*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bj. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.i_bk:

t^4 + 8*t^3 + 36*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bk. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.i_bl:

t^4 + 8*t^3 + 37*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bl. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.i_bm:

t^4 + 8*t^3 + 38*t^2 + 88*t + 121

comment: LMFDB 2.11.i_bm. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.j_bm:

t^4 + 9*t^3 + 38*t^2 + 99*t + 121

comment: LMFDB 2.11.j_bm. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.j_bn:

t^4 + 9*t^3 + 39*t^2 + 99*t + 121

comment: LMFDB 2.11.j_bn. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.j_bo:

t^4 + 9*t^3 + 40*t^2 + 99*t + 121

comment: LMFDB 2.11.j_bo. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.j_bp:

t^4 + 9*t^3 + 41*t^2 + 99*t + 121

comment: LMFDB 2.11.j_bp. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.j_bq:

t^4 + 9*t^3 + 42*t^2 + 99*t + 121

comment: LMFDB 2.11.j_bq. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.k_bt:

t^4 + 10*t^3 + 45*t^2 + 110*t + 121

comment: LMFDB 2.11.k_bt. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.k_bu:

t^4 + 10*t^3 + 46*t^2 + 110*t + 121

comment: LMFDB 2.11.k_bu. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.k_bv:

t^4 + 10*t^3 + 47*t^2 + 110*t + 121

comment: LMFDB 2.11.k_bv. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.l_bz:

t^4 + 11*t^3 + 51*t^2 + 121*t + 121

comment: LMFDB 2.11.l_bz. The class is simple, has p-rank 2, and is ordinary.

2

11

2.11.l_ca:

t^4 + 11*t^3 + 52*t^2 + 121*t + 121

comment: LMFDB 2.11.l_ca. The class is not simple, has p-rank 2, and is ordinary.

2

11

2.11.m_cg:

t^4 + 12*t^3 + 58*t^2 + 132*t + 121

comment: LMFDB 2.11.m_cg. The class is not simple, has p-rank 2, and is ordinary.