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av_fq_isog • Show schema
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{'abvar_count': 4096, 'abvar_counts': [4096, 7929856, 21989330944, 62347826692096, 174866938405851136, 491256672529738694656, 1379950501853689934024704, 3876267135289475161128960000, 10888440145435151425079370059776, 30585627372586581661350320744759296], 'abvar_counts_str': '4096 7929856 21989330944 62347826692096 174866938405851136 491256672529738694656 1379950501853689934024704 3876267135289475161128960000 10888440145435151425079370059776 30585627372586581661350320744759296 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.740986412022932, 0.740986412022932], 'center_dim': 2, 'curve_count': 74, 'curve_counts': [74, 2822, 147698, 7901646, 418146394, 22164260438, 1174714749058, 62259659655838, 3299763708068714, 174887470832890022], 'curve_counts_str': '74 2822 147698 7901646 418146394 22164260438 1174714749058 62259659655838 3299763708068714 174887470832890022 ', 'curves': ['y^2=x^6+17*x^5+20*x^4+28*x^3+44*x^2+42*x+13', 'y^2=x^6+11*x^5+43*x^4+4*x^3+43*x^2+11*x+1', 'y^2=28*x^6+26*x^5+x^4+40*x^3+x^2+26*x+28', 'y^2=13*x^6+48*x^5+46*x^4+52*x^3+18*x^2+40*x+11', 'y^2=6*x^6+39*x^4+39*x^2+6', 'y^2=12*x^6+46*x^5+13*x^4+21*x^3+29*x^2+42*x+31', 'y^2=24*x^6+17*x^5+37*x^3+18*x^2+33*x+17', 'y^2=25*x^6+42*x^5+31*x^4+6*x^3+31*x^2+42*x+25', 'y^2=48*x^6+39*x^5+39*x^4+46*x^3+20*x^2+15*x+47', 'y^2=39*x^6+19*x^5+29*x^4+39*x^3+29*x^2+33*x+34', 'y^2=42*x^6+10*x^4+10*x^2+42', 'y^2=9*x^6+x^5+20*x^4+7*x^3+20*x^2+x+9', 'y^2=47*x^6+17*x^5+16*x^4+39*x^3+46*x^2+37*x+10', 'y^2=39*x^6+33*x^4+33*x^2+39', 'y^2=44*x^6+46*x^5+51*x^4+47*x^3+51*x^2+46*x+44', 'y^2=46*x^6+43*x^5+40*x^4+31*x^3+40*x^2+43*x+46', 'y^2=22*x^6+17*x^5+42*x^4+7*x^3+42*x^2+17*x+22', 'y^2=26*x^6+38*x^5+24*x^4+39*x^3+24*x^2+38*x+26', 'y^2=29*x^6+22*x^4+22*x^2+29', 'y^2=14*x^6+41*x^4+9*x^3+26*x^2+9*x+7'], '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': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 20, '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': 20, 'label': '2.53.u_hy', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.7.1'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 20, 206, 1060, 2809], 'poly_str': '1 20 206 1060 2809 ', 'primitive_models': [], 'q': 53, 'real_poly': [1, 20, 100], 'simple_distinct': ['1.53.k'], 'simple_factors': ['1.53.kA', '1.53.kB'], 'simple_multiplicities': [2], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '2.0.7.1', 'splitting_polynomials': [[2, -1, 1]], 'twist_count': 6, 'twists': [['2.53.au_hy', '2.2809.m_ijm', 2], ['2.53.a_g', '2.2809.m_ijm', 2], ['2.53.ak_bv', '2.148877.abtk_bktko', 3], ['2.53.a_ag', '2.7890481.qnk_dysrko', 4], ['2.53.k_bv', '2.22164361129.afsyu_fvshfmhy', 6]]}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.53.u_hy', 'extension_degree': 1, 'extension_label': '1.53.k', 'multiplicity': 2}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.53.k', 'galois_group': '2T1', 'places': [['14', '1'], ['38', '1']]}
