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av_fq_isog • Show schema
{'abvar_count': 6745, 'abvar_counts': [6745, 45495025, 326940321460, 2251604518655625, 15516041193711118225, 106889973796368136531600, 736365263311686093276866665, 5072820489937588988585920055625, 34946659039493167441597942399285780, 240747534324940342593891773979927150625], 'abvar_counts_str': '6745 45495025 326940321460 2251604518655625 15516041193711118225 106889973796368136531600 736365263311686093276866665 5072820489937588988585920055625 34946659039493167441597942399285780 240747534324940342593891773979927150625 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0809243439274423, 0.919075656072558], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 84, 'curve_counts': [84, 6600, 571788, 47443828, 3939040644, 326940269550, 27136050989628, 2252292316934308, 186940255267540404, 15516041200216383000], 'curve_counts_str': '84 6600 571788 47443828 3939040644 326940269550 27136050989628 2252292316934308 186940255267540404 15516041200216383000 ', 'curves': ['y^2=66*x^6+76*x^5+48*x^4+22*x^3+36*x^2+69*x+41', 'y^2=49*x^6+69*x^5+13*x^4+44*x^3+72*x^2+55*x+82', 'y^2=70*x^6+4*x^5+19*x^4+82*x^3+78*x^2+24*x+30', 'y^2=51*x^6+38*x^5+66*x^4+59*x^3+75*x^2+42*x+17', 'y^2=19*x^6+76*x^5+49*x^4+35*x^3+67*x^2+x+34', 'y^2=57*x^6+75*x^5+22*x^4+9*x^3+19*x^2+43*x+42', 'y^2=31*x^6+67*x^5+44*x^4+18*x^3+38*x^2+3*x+1', 'y^2=13*x^6+15*x^5+77*x^4+25*x^3+8*x^2+57*x+44', 'y^2=79*x^6+32*x^5+77*x^3+45*x^2+21*x+80', 'y^2=17*x^6+58*x^5+77*x^4+x^3+56*x^2+56*x+51', 'y^2=7*x^6+34*x^5+5*x^4+53*x^2+45*x+25', 'y^2=14*x^6+68*x^5+10*x^4+23*x^2+7*x+50', 'y^2=65*x^6+70*x^5+16*x^4+27*x^3+68*x^2+79*x+64', 'y^2=38*x^6+18*x^5+7*x^4+53*x^3+20*x^2+62*x+59', 'y^2=45*x^6+27*x^5+19*x^4+57*x^3+59*x^2+37*x+1', 'y^2=27*x^6+28*x^5+8*x^4+62*x^3+37*x^2+60*x+8', 'y^2=54*x^6+56*x^5+16*x^4+41*x^3+74*x^2+37*x+16', 'y^2=21*x^6+41*x^5+17*x^4+74*x^3+5*x^2+41*x+77', 'y^2=42*x^6+82*x^5+34*x^4+65*x^3+10*x^2+82*x+71', 'y^2=71*x^6+21*x^5+24*x^4+2*x^3+36*x^2+20*x+30', 'y^2=76*x^6+27*x^5+78*x^4+40*x^3+3*x^2+59*x+4', 'y^2=69*x^6+54*x^5+73*x^4+80*x^3+6*x^2+35*x+8', 'y^2=66*x^6+57*x^5+45*x^4+28*x^3+61*x^2+44*x+49', 'y^2=49*x^6+31*x^5+7*x^4+56*x^3+39*x^2+5*x+15', 'y^2=11*x^6+10*x^5+30*x^4+56*x^3+74*x^2+43*x+33', 'y^2=22*x^6+20*x^5+60*x^4+29*x^3+65*x^2+3*x+66', 'y^2=34*x^6+50*x^5+66*x^4+57*x^3+45*x^2+66', 'y^2=68*x^6+17*x^5+49*x^4+31*x^3+7*x^2+49', 'y^2=51*x^6+57*x^5+78*x^4+78*x^3+32*x^2+29*x+60', 'y^2=19*x^6+31*x^5+73*x^4+73*x^3+64*x^2+58*x+37', 'y^2=77*x^6+79*x^5+81*x^4+23*x^3+56*x^2+63*x+72', 'y^2=71*x^6+75*x^5+79*x^4+46*x^3+29*x^2+43*x+61', 'y^2=26*x^6+29*x^4+75*x^3+54*x^2+52*x+78', 'y^2=75*x^6+19*x^5+22*x^4+x^2+3*x+39', 'y^2=2*x^6+61*x^5+53*x^4+18*x^3+25*x^2+75*x+52', 'y^2=40*x^6+9*x^5+75*x^4+58*x^3+40*x^2+24*x+56'], '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': ['4T2'], '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': 2, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.6531.1'], 'geometric_splitting_field': '2.0.6531.1', 'geometric_splitting_polynomials': [[1633, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 36, 'is_cyclic': True, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 36, 'label': '2.83.a_afp', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [], 'number_fields': ['4.0.682463376.2'], 'p': 83, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 12], [1, 11, 1, 24]], 'poly': [1, 0, -145, 0, 6889], 'poly_str': '1 0 -145 0 6889 ', 'primitive_models': [], 'principal_polarization_count': 48, 'q': 83, 'real_poly': [1, 0, -311], 'simple_distinct': ['2.83.a_afp'], 'simple_factors': ['2.83.a_afpA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 48, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.682463376.2', 'splitting_polynomials': [[6889, 0, -145, 0, 1]], 'twist_count': 2, 'twists': [['2.83.a_fp', '2.47458321.avlm_mkqmbz', 4]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 48, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 441, 'zfv_singular_count': 0, 'zfv_singular_primes': []} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.682463376.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.83.a_afp', 'galois_group': '4T2', 'places': [['0', '145/83', '0', '6888/83'], ['0', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.6531.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.6889.afp', 'galois_group': '2T1', 'places': [['10', '1'], ['72', '1']]}
Abelian variety isogeny class data - 2.83.a_afp