Formats: - HTML - YAML - JSON - 2026-09-07T05:49:40.330343
  • av_fq_isog • Show schema
    {'abvar_count': 952, 'abvar_counts': [952, 1919232, 2590689976, 3515173208064, 4808583266156152, 6583070317903462656, 9012129666435857732344, 12337521935059434877747200, 16890051437863817981992302904, 23122482364050455883709967876352], 'abvar_counts_str': '952 1919232 2590689976 3515173208064 4808583266156152 6583070317903462656 9012129666435857732344 12337521935059434877747200 16890051437863817981992302904 23122482364050455883709967876352 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.19286113307749, 0.39335647955041], 'center_dim': 4, 'cohen_macaulay_max': 2, 'curve_count': 24, 'curve_counts': [24, 1402, 51144, 1875598, 69343944, 2565772522, 94932597336, 3512482306846, 129961721538168, 4808584101525082], 'curve_counts_str': '24 1402 51144 1875598 69343944 2565772522 94932597336 3512482306846 129961721538168 4808584101525082 ', 'curves': ['y^2=10*x^6+13*x^5+17*x^4+17*x^3+8*x^2+5*x+19', 'y^2=17*x^6+27*x^5+25*x^4+10*x^3+10*x^2+28*x+15', 'y^2=17*x^6+5*x^5+18*x^4+17*x^3+13*x^2+x+35', 'y^2=8*x^6+35*x^5+19*x^4+3*x^3+19*x^2+35*x+8', 'y^2=30*x^6+5*x^5+23*x^4+9*x^3+29*x^2+19*x+7', 'y^2=24*x^6+18*x^5+21*x^4+18*x^3+12*x^2+17*x+4', 'y^2=31*x^6+32*x^5+17*x^4+18*x^3+10*x^2+30*x+34', 'y^2=14*x^6+32*x^5+16*x^4+6*x^3+22*x^2+24*x+28', 'y^2=13*x^6+8*x^5+22*x^4+4*x^3+12*x^2+27*x+13', 'y^2=13*x^5+16*x^4+20*x^3+13*x^2+35*x', 'y^2=7*x^6+7*x^5+x^4+4*x^3+x^2+7*x+7', 'y^2=2*x^6+2*x^5+12*x^4+24*x^3+13*x^2+7*x+1', 'y^2=18*x^6+35*x^5+32*x^4+25*x^3+7*x^2+16*x+25', 'y^2=18*x^6+26*x^5+31*x^4+14*x^3+18*x^2+3*x+13', 'y^2=x^6+x^5+23*x^4+20*x^3+8*x^2+7*x+8', 'y^2=5*x^6+7*x^5+18*x^4+36*x^3+6*x^2+21*x+22', 'y^2=33*x^6+33*x^5+x^4+34*x^3+34*x^2+x+34', 'y^2=18*x^6+35*x^5+34*x^4+26*x^3+22*x^2+23*x+19', 'y^2=3*x^6+8*x^5+24*x^4+28*x^3+15*x^2+28*x+35', 'y^2=20*x^6+31*x^5+5*x^4+17*x^3+33*x^2+14*x+21', 'y^2=25*x^6+21*x^5+15*x^4+19*x^3+12*x^2+13*x', 'y^2=8*x^6+19*x^5+27*x^4+28*x^3+27*x^2+35*x+18', 'y^2=20*x^6+25*x^5+19*x^4+x^3+19*x^2+25*x+20', 'y^2=10*x^6+18*x^5+7*x^4+19*x^3+20*x^2+2*x', 'y^2=6*x^6+7*x^5+x^4+30*x^3+24*x^2+x+13', 'y^2=31*x^6+25*x^5+26*x^4+30*x^3+x^2+32*x+11', 'y^2=13*x^6+33*x^5+23*x^4+35*x^3+8*x^2+7*x+13', 'y^2=32*x^6+33*x^5+29*x^3+33*x+32', 'y^2=16*x^6+21*x^5+26*x^4+10*x^3+35*x^2+34*x+19', 'y^2=14*x^6+23*x^5+30*x^4+17*x^3+15*x^2+13*x+31', 'y^2=31*x^5+5*x^4+29*x^3+31*x^2+27*x+22', 'y^2=2*x^6+32*x^5+35*x^4+19*x^3+13*x^2+20*x+15', 'y^2=17*x^6+16*x^5+5*x^4+8*x^3+7*x^2+7*x+17', 'y^2=29*x^6+24*x^5+16*x^4+10*x^3+22*x^2+4*x+30', 'y^2=2*x^6+36*x^5+6*x^4+21*x^3+9*x^2+24*x+31', 'y^2=6*x^6+18*x^5+4*x^4+33*x^3+4*x^2+18*x+6', 'y^2=31*x^6+28*x^5+16*x^4+22*x^3+30*x^2+29*x+22', 'y^2=13*x^6+20*x^5+14*x^4+9*x^3+36*x^2+3*x+23', 'y^2=36*x^6+16*x^5+8*x^4+33*x^3+31*x^2+31*x+7', 'y^2=17*x^6+32*x^5+7*x^4+23*x^3+24*x^2+16*x', 'y^2=29*x^6+20*x^5+33*x^4+23*x^3+9*x^2+3*x+29', 'y^2=24*x^6+17*x^5+20*x^4+26*x^3+4*x^2+7*x+24', 'y^2=16*x^6+28*x^5+36*x^4+18*x^3+13*x^2+19*x+28', 'y^2=10*x^6+13*x^4+x^3+13*x^2+10', 'y^2=14*x^6+3*x^5+19*x^4+34*x^3+22*x^2+36*x+32', 'y^2=7*x^6+31*x^5+11*x^4+29*x^3+12*x^2+32*x+3', 'y^2=35*x^6+34*x^5+4*x^4+22*x^3+28*x^2+20*x+34', 'y^2=8*x^6+27*x^5+35*x^4+9*x^3+9*x^2+x', 'y^2=7*x^6+8*x^5+29*x^4+4*x^3+29*x^2+15*x+17', 'y^2=29*x^6+30*x^5+21*x^4+18*x^3+27*x^2+36*x+8', 'y^2=20*x^6+11*x^5+6*x^4+19*x^3+6*x^2+11*x+20', 'y^2=2*x^6+18*x^5+35*x^4+5*x^3+22*x^2+32*x+2', 'y^2=12*x^6+6*x^5+6*x^4+35*x^3+29*x^2+7*x+19', 'y^2=22*x^6+x^5+17*x^4+11*x^3+17*x^2+x+22', 'y^2=24*x^6+3*x^5+21*x^4+30*x^3+29*x^2+25*x+36', 'y^2=14*x^6+29*x^5+15*x^4+27*x^3+5*x^2+18*x+5', 'y^2=18*x^6+27*x^5+28*x^4+3*x^3+10*x^2+31*x+5', 'y^2=23*x^6+21*x^5+12*x^4+21*x^3+28*x^2+28*x+14', 'y^2=15*x^6+10*x^5+22*x^4+8*x^3+31*x^2+35*x+29', 'y^2=35*x^6+7*x^5+34*x^4+23*x^3+8*x^2+27*x+17'], 'dim1_distinct': 2, 'dim1_factors': 2, 'dim2_distinct': 0, 'dim2_factors': 0, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 18, 'g': 2, 'galois_groups': ['2T1', '2T1'], 'geom_dim1_distinct': 2, 'geom_dim1_factors': 2, '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.3.1', '2.0.132.1'], 'geometric_splitting_field': '4.0.17424.3', 'geometric_splitting_polynomials': [[121, 0, 11, 0, 1]], 'group_structure_count': 3, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 60, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 60, 'label': '2.37.ao_ek', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.3.1', '2.0.132.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 6], [2, 7, 1, 12], [2, 11, 1, 2]], 'poly': [1, -14, 114, -518, 1369], 'poly_str': '1 -14 114 -518 1369 ', 'primitive_models': [], 'principal_polarization_count': 76, 'q': 37, 'real_poly': [1, -14, 40], 'simple_distinct': ['1.37.ak', '1.37.ae'], 'simple_factors': ['1.37.akA', '1.37.aeA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,8*F-7', '2,-7*F+1'], 'size': 272, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.17424.3', 'splitting_polynomials': [[121, 0, 11, 0, 1]], 'twist_count': 12, 'twists': [['2.37.ag_bi', '2.1369.bg_bvi', 2], ['2.37.g_bi', '2.1369.bg_bvi', 2], ['2.37.o_ek', '2.1369.bg_bvi', 2], ['2.37.af_da', '2.50653.sw_idsc', 3], ['2.37.h_be', '2.50653.sw_idsc', 3], ['2.37.ap_eo', '2.2565726409.cqfo_eeiutzy', 6], ['2.37.ah_be', '2.2565726409.cqfo_eeiutzy', 6], ['2.37.ad_cs', '2.2565726409.cqfo_eeiutzy', 6], ['2.37.d_cs', '2.2565726409.cqfo_eeiutzy', 6], ['2.37.f_da', '2.2565726409.cqfo_eeiutzy', 6], ['2.37.p_eo', '2.2565726409.cqfo_eeiutzy', 6]], 'weak_equivalence_count': 24, 'zfv_index': 144, 'zfv_index_factorization': [[2, 4], [3, 2]], 'zfv_is_bass': False, 'zfv_is_maximal': False, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 6336, 'zfv_singular_count': 4, 'zfv_singular_primes': ['3,8*F-7', '2,-7*F+1']}
  • av_fq_endalg_factors • Show schema
    • id: 26500
      {'base_label': '2.37.ao_ek', 'extension_degree': 1, 'extension_label': '1.37.ak', 'multiplicity': 1}
    • id: 26501
      {'base_label': '2.37.ao_ek', 'extension_degree': 1, 'extension_label': '1.37.ae', 'multiplicity': 1}
  • av_fq_endalg_data • Show schema
    {'brauer_invariants': ['0', '0'], 'center': '2.0.3.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.ak', 'galois_group': '2T1', 'places': [['26', '1'], ['10', '1']]}
  • av_fq_endalg_data • Show schema
    {'brauer_invariants': ['0', '0'], 'center': '2.0.132.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.ae', 'galois_group': '2T1', 'places': [['35', '1'], ['2', '1']]}