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av_fq_isog • Show schema
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{'abvar_count': 3191, 'abvar_counts': [3191, 8459341, 22053859379, 62194775359541, 174911559990097936, 491264881878880141021, 1379942187993777462825539, 3876268755112290802266330725, 10888440340523993294121724853591, 30585627257707199294482881547223296], 'abvar_counts_str': '3191 8459341 22053859379 62194775359541 174911559990097936 491264881878880141021 1379942187993777462825539 3876268755112290802266330725 10888440340523993294121724853591 30585627257707199294482881547223296 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.530257552113172, 0.579933521437278], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 59, 'curve_counts': [59, 3007, 148133, 7882251, 418253094, 22164630823, 1174707671693, 62259685673043, 3299763767190779, 174887470176014022], 'curve_counts_str': '59 3007 148133 7882251 418253094 22164630823 1174707671693 62259685673043 3299763767190779 174887470176014022 ', 'curves': ['y^2=25*x^6+17*x^5+3*x^4+44*x^3+42*x^2+28*x+25', 'y^2=14*x^6+32*x^5+41*x^4+44*x^3+22*x^2+40*x+52', 'y^2=37*x^6+29*x^5+50*x^4+48*x^3+3*x^2+49*x+39', 'y^2=39*x^6+51*x^5+30*x^4+16*x^3+38*x^2+14*x+27', 'y^2=27*x^6+49*x^5+21*x^4+40*x^3+17*x^2+48*x+22', 'y^2=44*x^6+2*x^5+10*x^4+47*x^3+5*x^2+38*x+39', 'y^2=19*x^6+13*x^5+28*x^4+3*x^3+20*x^2+6*x+47', 'y^2=49*x^6+24*x^5+17*x^4+35*x^3+31*x^2+25*x+24', 'y^2=8*x^6+5*x^5+11*x^4+9*x^3+44*x^2+35*x+27', 'y^2=2*x^6+45*x^5+28*x^4+39*x^3+28*x^2+38*x+22', 'y^2=10*x^6+21*x^5+23*x^4+49*x^3+7*x^2+28*x+22', 'y^2=51*x^6+12*x^5+19*x^4+8*x^3+30*x^2+24*x+19', 'y^2=18*x^6+31*x^5+46*x^4+11*x^3+40*x^2+12*x+16', 'y^2=12*x^6+8*x^5+6*x^4+43*x^3+29*x^2+24*x+26', 'y^2=48*x^6+49*x^5+48*x^4+47*x^3+9*x^2+47*x+20', 'y^2=35*x^6+12*x^5+5*x^4+6*x^3+49*x^2+42*x+11'], 'dim1_distinct': 0, 'dim1_factors': 0, 'dim2_distinct': 1, 'dim2_factors': 1, 'dim3_distinct': 0, 'dim3_factors': 0, 'dim4_distinct': 0, 'dim4_factors': 0, 'dim5_distinct': 0, 'dim5_factors': 0, 'endomorphism_ring_count': 1, 'g': 2, 'galois_groups': ['4T3'], 'geom_dim1_distinct': 0, 'geom_dim1_factors': 0, 'geom_dim2_distinct': 1, 'geom_dim2_factors': 1, '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': ['4T3'], 'geometric_number_fields': ['4.0.1044725.2'], 'geometric_splitting_field': '4.0.1044725.2', 'geometric_splitting_polynomials': [[2651, -54, 102, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, 'is_cyclic': True, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 16, 'label': '2.53.f_eh', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.1044725.2'], 'p': 53, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 11, 1, 4], [1, 11, 3, 2], [1, 19, 1, 4]], 'poly': [1, 5, 111, 265, 2809], 'poly_str': '1 5 111 265 2809 ', 'primitive_models': [], 'principal_polarization_count': 16, 'q': 53, 'real_poly': [1, 5, 5], 'simple_distinct': ['2.53.f_eh'], 'simple_factors': ['2.53.f_ehA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 16, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1044725.2', 'splitting_polynomials': [[2651, -54, 102, -1, 1]], 'twist_count': 2, 'twists': [['2.53.af_eh', '2.2809.hp_wqb', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 16, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 41789, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.53.f_eh', 'extension_degree': 1, 'extension_label': '2.53.f_eh', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.1044725.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.53.f_eh', 'galois_group': '4T3', 'places': [['2651/53', '104/53', '2807/53', '1/53'], ['1', '1', '0', '0']]}
