Formats: - HTML - YAML - JSON - 2026-09-07T06:07:48.133965
  • av_fq_isog • Show schema
    {'abvar_count': 1600, 'abvar_counts': [1600, 2073600, 2544193600, 3504384000000, 4810282478440000, 6583236860998886400, 9011954218281989185600, 12337505409661046784000000, 16890059715734938659194881600, 23122483559154205079359616640000], 'abvar_counts_str': '1600 2073600 2544193600 3504384000000 4810282478440000 6583236860998886400 9011954218281989185600 12337505409661046784000000 16890059715734938659194881600 23122483559154205079359616640000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.552568456711253, 0.552568456711253], 'center_dim': 2, 'curve_count': 42, 'curve_counts': [42, 1510, 50226, 1869838, 69368442, 2565837430, 94930749186, 3512477602078, 129961785232842, 4808584350060550], 'curve_counts_str': '42 1510 50226 1869838 69368442 2565837430 94930749186 3512477602078 129961785232842 4808584350060550 ', 'curves': ['y^2=2*x^6+13*x^3+22', 'y^2=3*x^5+12*x^4+2*x^3+21*x^2+19*x+13', 'y^2=13*x^6+25*x^4+25*x^2+13', 'y^2=18*x^6+3*x^5+27*x^4+20*x^3+27*x^2+3*x+18', 'y^2=11*x^6+9*x^5+3*x^4+30*x^3+27*x^2+18*x+7', 'y^2=16*x^6+4*x^5+34*x^4+6*x^3+34*x^2+4*x+16', 'y^2=10*x^6+20*x^5+20*x^3+20*x+10', 'y^2=31*x^6+29*x^5+6*x^4+10*x^3+24*x^2+20*x+23', 'y^2=11*x^6+30*x^5+x^4+22*x^3+34*x^2+11*x+36', 'y^2=28*x^6+7*x^4+21*x^3+5*x^2+33*x+17', 'y^2=14*x^6+20*x^5+13*x^4+30*x^3+2*x^2+32*x+8', 'y^2=19*x^6+9*x^5+30*x^4+15*x^3+27*x^2+x+13', 'y^2=13*x^6+10*x^5+23*x^4+7*x^3+29*x^2+x+24', 'y^2=31*x^5+27*x^4+10*x^3+21*x^2+32*x', 'y^2=27*x^6+25*x^5+23*x^4+10*x^3+23*x^2+25*x+27', 'y^2=x^6+9*x^5+9*x^4+27*x^3+8*x^2+8*x+26', 'y^2=7*x^6+11*x^5+32*x^4+31*x^3+2*x^2+21*x+33', 'y^2=30*x^6+35*x^5+28*x^4+25*x^3+3*x^2+8*x+3', 'y^2=33*x^6+36*x^4+36*x^2+33', 'y^2=18*x^6+35*x^5+30*x^4+30*x^3+30*x^2+35*x+18', 'y^2=28*x^6+11*x^5+31*x^4+14*x^3+29*x^2+36*x+28', 'y^2=2*x^6+31*x^3+20', 'y^2=2*x^6+2*x^3+2', 'y^2=32*x^6+30*x^5+x^4+17*x^3+33*x^2+10*x+34', 'y^2=16*x^6+23*x^5+17*x^4+13*x^3+17*x^2+23*x+16', 'y^2=5*x^6+6*x^5+25*x^4+29*x^3+4*x^2+13*x+19', 'y^2=7*x^6+10*x^5+13*x^4+22*x^3+3*x^2+30', 'y^2=32*x^6+17*x^5+18*x^4+3*x^3+22*x^2+19*x+13', 'y^2=x^6+3*x^5+13*x^4+12*x^3+6*x^2+21*x+26', 'y^2=13*x^6+27*x^5+25*x^4+3*x^3+21*x^2+11*x+13', 'y^2=5*x^6+28*x^4+28*x^2+5', 'y^2=2*x^6+2*x^3+35', 'y^2=33*x^6+34*x^5+29*x^4+30*x^3+5*x^2+26*x+3', 'y^2=24*x^6+30*x^5+30*x^4+14*x^3+7*x^2+30*x+13', 'y^2=31*x^6+9*x^4+9*x^2+31', 'y^2=25*x^6+21*x^5+x^4+5*x^3+14*x^2+22*x+14', 'y^2=2*x^6+29*x^3+20', 'y^2=13*x^6+11*x^5+7*x^4+10*x^3+27*x^2+30*x+32', 'y^2=20*x^6+25*x^5+13*x^4+24*x^3+23*x^2+36*x+2', 'y^2=3*x^6+30*x^4+30*x^2+3', 'y^2=19*x^6+12*x^5+10*x^4+31*x^3+12*x^2+x+13', 'y^2=30*x^5+9*x^4+x^3+36*x^2+36*x', 'y^2=19*x^6+7*x^5+24*x^4+5*x^3+24*x^2+7*x+19', 'y^2=16*x^6+2*x^4+2*x^2+16', 'y^2=19*x^6+30*x^5+17*x^4+14*x^3+23*x^2+18*x+8', 'y^2=21*x^6+9*x^5+14*x^4+10*x^3+11*x^2+11*x+6', 'y^2=9*x^6+26*x^5+32*x^4+5*x^3+23*x^2+7*x+25', 'y^2=2*x^6+2*x^3+15', 'y^2=32*x^6+9*x^5+26*x^4+31*x^3+4*x^2+7*x+13'], 'dim1_distinct': 1, '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, 'g': 2, 'galois_groups': ['2T1'], 'geom_dim1_distinct': 1, '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': 2, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.4.1'], 'geometric_splitting_field': '2.0.4.1', 'geometric_splitting_polynomials': [[1, 0, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 49, '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': 49, 'label': '2.37.e_da', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2, 5], 'number_fields': ['2.0.4.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 4, 78, 148, 1369], 'poly_str': '1 4 78 148 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, 4, 4], 'simple_distinct': ['1.37.c'], 'simple_factors': ['1.37.cA', '1.37.cB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.4.1', 'splitting_polynomials': [[1, 0, 1]], 'twist_count': 16, 'twists': [['2.37.ae_da', '2.1369.fk_lhu', 2], ['2.37.a_cs', '2.1369.fk_lhu', 2], ['2.37.ac_abh', '2.50653.aqm_ijpu', 3], ['2.37.ay_ik', '2.1874161.agki_slfkw', 4], ['2.37.ao_du', '2.1874161.agki_slfkw', 4], ['2.37.ak_by', '2.1874161.agki_slfkw', 4], ['2.37.a_acs', '2.1874161.agki_slfkw', 4], ['2.37.k_by', '2.1874161.agki_slfkw', 4], ['2.37.o_du', '2.1874161.agki_slfkw', 4], ['2.37.y_ik', '2.1874161.agki_slfkw', 4], ['2.37.c_abh', '2.2565726409.giga_bapgchny', 6], ['2.37.a_ay', '2.3512479453921.aebjku_bltjzqezco', 8], ['2.37.a_y', '2.3512479453921.aebjku_bltjzqezco', 8], ['2.37.am_ed', '2.6582952005840035281.nhclfbw_haafbniyuxjaug', 12], ['2.37.m_ed', '2.6582952005840035281.nhclfbw_haafbniyuxjaug', 12]]}
  • av_fq_endalg_factors • Show schema
    {'base_label': '2.37.e_da', 'extension_degree': 1, 'extension_label': '1.37.c', 'multiplicity': 2}
  • av_fq_endalg_data • Show schema
    {'brauer_invariants': ['0', '0'], 'center': '2.0.4.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.37.c', 'galois_group': '2T1', 'places': [['31', '1'], ['6', '1']]}