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av_fq_isog • Show schema
{'abvar_count': 2449, 'abvar_counts': [2449, 13589501, 51651322669, 191856914855525, 713423574578330704, 2654376624856790081861, 9876836605334808020648029, 36751691781597653714814791525, 136753050894563472013002363852169, 508858108775768932387209686977007616], 'abvar_counts_str': '2449 13589501 51651322669 191856914855525 713423574578330704 2654376624856790081861 9876836605334808020648029 36751691781597653714814791525 136753050894563472013002363852169 508858108775768932387209686977007616 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.162949397008197, 0.240145470170182], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 37, 'curve_counts': [37, 3651, 227557, 13856643, 844691802, 51520911051, 3142744131697, 191707302173283, 11694145926427417, 713342910479846806], 'curve_counts_str': '37 3651 227557 13856643 844691802 51520911051 3142744131697 191707302173283 11694145926427417 713342910479846806 ', 'curves': ['y^2=57*x^6+29*x^5+12*x^4+55*x^3+13*x^2+4*x+30', 'y^2=15*x^6+7*x^5+22*x^4+10*x^3+30*x^2+47*x+34', 'y^2=35*x^6+10*x^5+33*x^4+19*x^3+51*x^2+41*x+50', 'y^2=7*x^6+60*x^5+x^4+3*x^3+45*x^2+59*x+45', 'y^2=33*x^6+44*x^5+45*x^4+3*x^3+15*x^2+22*x+51', 'y^2=12*x^6+22*x^5+x^4+32*x^3+47*x^2+49*x+50', 'y^2=7*x^6+60*x^5+7*x^4+8*x^3+44*x^2+18*x+18', 'y^2=17*x^6+8*x^5+20*x^4+60*x^3+22*x^2+33*x+28', 'y^2=50*x^6+29*x^5+25*x^4+18*x^3+45*x^2+8*x+43'], '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': ['4.0.167525.1'], 'geometric_splitting_field': '4.0.167525.1', 'geometric_splitting_polynomials': [[439, -37, 43, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 9, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 9, 'label': '2.61.az_kr', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.167525.1'], 'p': 61, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 9]], 'poly': [1, -25, 277, -1525, 3721], 'poly_str': '1 -25 277 -1525 3721 ', 'primitive_models': [], 'principal_polarization_count': 9, 'q': 61, 'real_poly': [1, -25, 155], 'simple_distinct': ['2.61.az_kr'], 'simple_factors': ['2.61.az_krA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 9, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.167525.1', 'splitting_polynomials': [[439, -37, 43, -1, 1]], 'twist_count': 2, 'twists': [['2.61.z_kr', '2.3721.act_lsr', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 9, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 6701, 'zfv_singular_count': 0, 'zfv_singular_primes': []} -
av_fq_endalg_factors • Show schema
{'base_label': '2.61.az_kr', 'extension_degree': 1, 'extension_label': '2.61.az_kr', 'multiplicity': 1} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.167525.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.61.az_kr', 'galois_group': '4T3', 'places': [['37', '1', '0', '0'], ['11', '1', '0', '0'], ['3306/61', '144/61', '19/61', '6/61'], ['1659/61', '144/61', '19/61', '6/61']]}
Abelian variety isogeny class data - 2.61.az_kr