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av_fq_isog • Show schema
{'abvar_count': 2340, 'abvar_counts': [2340, 11934000, 42218083440, 146825099928000, 511084016722550700, 1779175733355300384000, 6193380826193533329293820, 21559179164073090732627552000, 75047498738373215696497492506480, 261240336426520447708864506418350000], 'abvar_counts_str': '2340 11934000 42218083440 146825099928000 511084016722550700 1779175733355300384000 6193380826193533329293820 21559179164073090732627552000 75047498738373215696497492506480 261240336426520447708864506418350000 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.0692665268585578, 0.325650265238338], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 3429, 205564, 12116921, 714878507, 42180019542, 2488649320313, 146830449570481, 8662996070800996, 511116755104400949], 'curve_counts_str': '37 3429 205564 12116921 714878507 42180019542 2488649320313 146830449570481 8662996070800996 511116755104400949 ', 'curves': ['y^2=58*x^6+55*x^5+47*x^4+23*x^3+14*x^2+40*x+18', 'y^2=58*x^6+50*x^5+56*x^4+11*x^3+39*x^2+18*x+58', 'y^2=40*x^6+10*x^5+8*x^3+5*x^2+5*x+48', 'y^2=50*x^6+21*x^5+13*x^4+40*x^3+12*x^2+18*x+47', 'y^2=43*x^6+41*x^5+32*x^4+35*x^3+58*x^2+26*x+38', 'y^2=43*x^6+55*x^5+57*x^4+27*x^3+53*x^2+11*x+1', 'y^2=33*x^6+21*x^5+21*x^4+4*x^3+28*x^2+26*x+9', 'y^2=18*x^6+47*x^5+23*x^4+47*x^3+10*x^2+43*x+45', 'y^2=50*x^6+32*x^5+51*x^4+11*x^3+33*x^2+11*x+28', 'y^2=44*x^6+27*x^5+44*x^4+44*x^3+29*x^2+6*x+14', 'y^2=55*x^6+33*x^5+10*x^4+16*x^3+10*x^2+36*x+38', 'y^2=29*x^6+46*x^5+26*x^4+33*x^3+56*x^2+29*x+5', 'y^2=10*x^6+5*x^5+56*x^4+2*x^3+57*x^2+2*x+46', 'y^2=52*x^6+39*x^5+50*x^4+38*x^3+23*x^2+29*x+58', 'y^2=7*x^6+43*x^5+x^4+2*x^3+30*x^2+37*x+27', 'y^2=34*x^6+34*x^5+28*x^4+56*x^2+6*x+8'], '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': 4, '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': ['2.0.11.1', '2.0.43.1'], 'geometric_splitting_field': '4.0.223729.1', 'geometric_splitting_polynomials': [[64, 0, 27, 0, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 16, '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': 16, 'label': '2.59.ax_je', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [2], 'number_fields': ['2.0.11.1', '2.0.43.1'], 'p': 59, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 3, 1, 24], [2, 11, 1, 12]], 'poly': [1, -23, 238, -1357, 3481], 'poly_str': '1 -23 238 -1357 3481 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 59, 'real_poly': [1, -23, 120], 'simple_distinct': ['1.59.ap', '1.59.ai'], 'simple_factors': ['1.59.apA', '1.59.aiA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['7,2*F^2-24*F+6*V', '2,3*V-43'], 'size': 100, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.223729.1', 'splitting_polynomials': [[64, 0, 27, 0, 1]], 'twist_count': 4, 'twists': [['2.59.ah_ac', '2.3481.acb_bto', 2], ['2.59.h_ac', '2.3481.acb_bto', 2], ['2.59.x_je', '2.3481.acb_bto', 2]], 'weak_equivalence_count': 4, 'zfv_index': 98, 'zfv_index_factorization': [[2, 1], [7, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 72, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 1892, 'zfv_singular_count': 4, 'zfv_singular_primes': ['7,2*F^2-24*F+6*V', '2,3*V-43']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.ap', 'galois_group': '2T1', 'places': [['51', '1'], ['7', '1']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.43.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.59.ai', 'galois_group': '2T1', 'places': [['27', '1'], ['31', '1']]}
Abelian variety isogeny class data - 2.59.ax_je