Abelian variety isogeny class data - 5.2.ag_r_aba_w_aq

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• av_fq_isog •

  Column	Type
  abvar_count	numeric
  abvar_counts	numeric[]
  abvar_counts_str	text
  all_polarized_product	boolean
  all_unpolarized_product	boolean
  angle_corank	smallint
  angle_rank	smallint
  angles	double precision[]
  center_dim	smallint
  cohen_macaulay_max	smallint
  curve_count	integer
  curve_counts	numeric[]
  curve_counts_str	text
  curves	text[]
  dim1_distinct	smallint
  dim1_factors	smallint
  dim2_distinct	smallint
  dim2_factors	smallint
  dim3_distinct	smallint
  dim3_factors	smallint
  dim4_distinct	smallint
  dim4_factors	smallint
  dim5_distinct	smallint
  dim5_factors	smallint
  endomorphism_ring_count	smallint
  g	smallint
  galois_groups	text[]
  geom_dim1_distinct	smallint
  geom_dim1_factors	smallint
  geom_dim2_distinct	smallint
  geom_dim2_factors	smallint
  geom_dim3_distinct	smallint
  geom_dim3_factors	smallint
  geom_dim4_distinct	smallint
  geom_dim4_factors	smallint
  geom_dim5_distinct	smallint
  geom_dim5_factors	smallint
  geometric_center_dim	smallint
  geometric_extension_degree	smallint
  geometric_galois_groups	text[]
  geometric_number_fields	text[]
  geometric_splitting_field	text
  geometric_splitting_polynomials	numeric[]
  group_structure_count	smallint
  has_geom_ss_factor	boolean
  has_jacobian	smallint
  has_principal_polarization	smallint
  hyp_count	integer
  is_cyclic	boolean
  is_geometrically_simple	boolean
  is_geometrically_squarefree	boolean
  is_primitive	boolean
  is_simple	boolean
  is_squarefree	boolean
  is_supersingular	boolean
  jacobian_count	integer
  label	text
  max_divalg_dim	smallint
  max_geom_divalg_dim	smallint
  max_twist_degree	integer
  newton_coelevation	smallint
  newton_elevation	smallint
  noncyclic_primes	integer[]
  number_fields	text[]
  p	smallint
  p_rank	smallint
  p_rank_deficit	smallint
  pic_prime_gens	integer[]
  poly	integer[]
  poly_str	text
  primitive_models	text[]
  principal_polarization_count	integer
  q	integer
  real_poly	integer[]
  simple_distinct	text[]
  simple_factors	text[]
  simple_multiplicities	smallint[]
  singular_primes	text[]
  size	integer
  slopes	text[]
  splitting_field	text
  splitting_polynomials	numeric[]
  twist_count	integer
  twists	jsonb
  weak_equivalence_count	smallint
  zfv_index	numeric
  zfv_index_factorization	numeric[]
  zfv_is_bass	boolean
  zfv_is_maximal	boolean
  zfv_pic_size	integer
  zfv_plus_index	numeric
  zfv_plus_index_factorization	numeric[]
  zfv_plus_norm	numeric
  zfv_singular_count	smallint
  zfv_singular_primes	text[]

  
  {'abvar_count': 4, 'abvar_counts': [4, 2000, 166972, 9000000, 66439844, 1586234000, 24004034492, 656100000000, 29085798910324, 1000750150250000], 'abvar_counts_str': '4 2000 166972 9000000 66439844 1586234000 24004034492 656100000000 29085798910324 1000750150250000 ', 'angle_corank': 4, 'angle_rank': 1, 'angles': [0.209784688372417, 0.25, 0.25, 0.25, 0.790215311627583], 'center_dim': 6, 'curve_count': -3, 'curve_counts': [-3, 3, 21, 55, 57, 87, 81, 127, 417, 903], 'curve_counts_str': '-3 3 21 55 57 87 81 127 417 903 ', 'curves': [''], 'dim1_distinct': 1, 'dim1_factors': 3, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'g': 5, 'galois_groups': ['2T1', '4T2'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 5, 'geom_dim2_distinct': 0, 'geom_dim2_factors': 0, 'geom_dim3_distinct': 0, 'geom_dim3_factors': 0, 'geom_dim4_distinct': 0, 'geom_dim4_factors': 0, 'geom_dim5_distinct': 0, 'geom_dim5_factors': 0, 'geometric_center_dim': 3, 'geometric_extension_degree': 4, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.15.1'], 'geometric_splitting_field': '2.0.15.1', 'geometric_splitting_polynomials': [[4, -1, 1]], 'has_geom_ss_factor': True, 'has_jacobian': -1, 'has_principal_polarization': 1, 'hyp_count': 0, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': False, 'is_squarefree': False, 'is_supersingular': False, 'jacobian_count': 0, 'label': '5.2.ag_r_aba_w_aq', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 4, 'max_twist_degree': 24, 'newton_coelevation': 5, 'newton_elevation': 4, 'noncyclic_primes': [2], 'number_fields': ['2.0.4.1', '4.0.225.1'], 'p': 2, 'p_rank': 2, 'p_rank_deficit': 3, 'poly': [1, -6, 17, -26, 22, -16, 44, -104, 136, -96, 32], 'poly_str': '1 -6 17 -26 22 -16 44 -104 136 -96 32 ', 'primitive_models': [], 'q': 2, 'real_poly': [1, -6, 7, 22, -60, 40], 'simple_distinct': ['1.2.ac', '2.2.a_ab'], 'simple_factors': ['1.2.acA', '1.2.acB', '1.2.acC', '2.2.a_abA'], 'simple_multiplicities': [3, 1], 'slopes': ['0A', '0B', '1/2A', '1/2B', '1/2C', '1/2D', '1/2E', '1/2F', '1A', '1B'], 'splitting_field': '8.0.12960000.1', 'splitting_polynomials': [[1, 0, -3, 0, 8, 0, -3, 0, 1]], 'twist_count': 100, 'twists': [['5.2.ac_b_c_g_aq', '5.4.ac_v_abg_gq_ahk', 2], ['5.2.c_b_ac_g_q', '5.4.ac_v_abg_gq_ahk', 2], ['5.2.g_r_ba_w_q', '5.4.ac_v_abg_gq_ahk', 2], ['5.2.aj_bp_aes_kc_aqi', '5.8.m_df_oy_cdc_glk', 3], ['5.2.ad_f_ac_ai_u', '5.8.m_df_oy_cdc_glk', 3], ['5.2.ad_f_ac_ac_i', '5.8.m_df_oy_cdc_glk', 3], ['5.2.a_ab_e_e_ae', '5.8.m_df_oy_cdc_glk', 3], ['5.2.d_f_k_q_u', '5.8.m_df_oy_cdc_glk', 3], ['5.2.ag_t_abm_cg_adc', '5.16.bm_zh_kbw_crhg_msps', 4], ['5.2.ac_d_ac_k_aq', '5.16.bm_zh_kbw_crhg_msps', 4], ['5.2.c_d_c_k_q', '5.16.bm_zh_kbw_crhg_msps', 4], ['5.2.g_t_bm_cg_dc', '5.16.bm_zh_kbw_crhg_msps', 4], ['5.2.ah_z_ack_eq_ahg', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.af_n_aw_be_abo', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.ae_h_ai_m_au', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.ad_f_ak_q_au', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.ab_b_ac_a_e', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.ab_b_ac_g_ai', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.a_ab_ae_e_e', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.b_b_c_a_ae', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.b_b_c_g_i', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.d_f_c_ai_au', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.d_f_c_ac_ai', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.e_h_i_m_u', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.f_n_w_be_bo', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.h_z_ck_eq_hg', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.j_bp_es_kc_qi', '5.64.w_qz_iiq_dqyy_betvc', 6], ['5.2.ae_j_am_o_aq', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.ae_l_au_bi_abw', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.ac_ad_k_c_ay', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.ac_ab_g_ac_ai', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.ac_f_ag_k_ai', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.ac_h_ak_w_ay', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.a_ad_a_c_a', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.a_ab_a_ac_a', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.a_b_a_g_a', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.a_d_a_k_a', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.a_f_a_k_a', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.a_h_a_w_a', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.c_ad_ak_c_y', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.c_ab_ag_ac_i', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.c_f_g_k_i', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.c_h_k_w_y', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.e_j_m_o_q', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.e_l_u_bi_bw', '5.256.afa_lsb_aqyyq_qyrnk_amfkpka', 8], ['5.2.ae_j_aq_bc_abs', '5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm', 12], ['5.2.a_b_ae_e_ae', '5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm', 12], ['5.2.a_b_e_e_e', '5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm', 12], ['5.2.e_j_q_bc_bs', '5.4096.pi_ehav_ukohc_cvgfsvo_hwkapqgm', 12], ['5.2.ah_bb_acu_fq_aiy', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.af_j_ac_aw_bw', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.af_l_am_e_e', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.af_p_abk_cq_aea', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.af_p_abg_ce_adg', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.af_r_abq_de_aey', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ad_d_a_ak_y', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ad_f_ag_e_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ad_h_am_s_ay', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ad_j_as_bg_abw', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ad_l_ay_bu_acu', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ac_ab_g_e_au', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ac_b_c_e_am', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ac_d_ag_i_ai', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ac_d_ac_i_am', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ac_f_ak_q_ay', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ac_f_ag_q_au', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ab_ad_c_c_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ab_ab_a_e_ae', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ab_d_ae_i_am', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ab_d_a_ae_i', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ab_d_a_c_i', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.ab_f_ag_k_aq', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.a_ab_a_e_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.a_b_a_e_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.a_d_a_i_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.a_f_a_q_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.b_ad_ac_c_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.b_ab_a_e_e', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.b_d_a_ae_ai', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.b_d_a_c_ai', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.b_d_e_i_m', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.b_f_g_k_q', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.c_ab_ag_e_u', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.c_b_ac_e_m', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.c_d_c_i_m', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.c_d_g_i_i', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.c_f_g_q_u', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.c_f_k_q_y', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.d_d_a_ak_ay', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.d_f_g_e_a', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.d_h_m_s_y', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.d_j_s_bg_bw', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.d_l_y_bu_cu', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.f_j_c_aw_abw', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.f_l_m_e_ae', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.f_p_bg_ce_dg', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.f_p_bk_cq_ea', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.f_r_bq_de_ey', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24], ['5.2.h_bb_cu_fq_iy', '5.16777216.amgw_aecqejf_cpqdxcvee_duvrjikzgds_afmdeeplcputxbs', 24]]}
• av_fq_endalg_factors •

  Column	Type
  base_label	text
  extension_degree	smallint
  extension_label	text
  multiplicity	smallint

  
  
  • id: 2933242
    {'base_label': '5.2.ag_r_aba_w_aq', 'extension_degree': 1, 'extension_label': '1.2.ac', 'multiplicity': 3}
  • id: 2933243
    {'base_label': '5.2.ag_r_aba_w_aq', 'extension_degree': 1, 'extension_label': '2.2.a_ab', 'multiplicity': 1}
  • id: 2933244
    {'base_label': '5.2.ag_r_aba_w_aq', 'extension_degree': 2, 'extension_label': '1.4.ab', 'multiplicity': 2}
  • id: 2933245
    {'base_label': '5.2.ag_r_aba_w_aq', 'extension_degree': 2, 'extension_label': '1.4.a', 'multiplicity': 3}
  • id: 2933246
    {'base_label': '5.2.ag_r_aba_w_aq', 'extension_degree': 4, 'extension_label': '1.16.h', 'multiplicity': 2}
  • id: 2933247
    {'base_label': '5.2.ag_r_aba_w_aq', 'extension_degree': 4, 'extension_label': '1.16.i', 'multiplicity': 3}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.2.ac', 'galois_group': '2T1', 'places': [['1', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '4.0.225.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.2.a_ab', 'galois_group': '4T2', 'places': [['1', '1', '0', '0'], ['1/2', '0', '1', '1/2']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.ab', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.4.a', 'galois_group': '2T1', 'places': [['1', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['0', '0'], 'center': '2.0.15.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.16.h', 'galois_group': '2T1', 'places': [['1', '1'], ['0', '1']]}
• av_fq_endalg_data •

  Column	Type
  brauer_invariants	text[]
  center	text
  center_dim	smallint
  divalg_dim	smallint
  extension_label	text
  galois_group	text
  places	text[]

  
  {'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.16.i', 'galois_group': '1T1', 'places': [['0']]}