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av_fq_isog • Show schema
{'abvar_count': 1440, 'abvar_counts': [1440, 5529600, 13815787680, 33232896000000, 79789818658327200, 191578173864518246400, 459984687945085052629920, 1104426909195338612736000000, 2651730613372185739653797292960, 6366805711238142926910784650240000], 'abvar_counts_str': '1440 5529600 13815787680 33232896000000 79789818658327200 191578173864518246400 459984687945085052629920 1104426909195338612736000000 2651730613372185739653797292960 6366805711238142926910784650240000 ', 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0, 0.0, 0.24675171442885], 'center_dim': 3, 'curve_count': 26, 'curve_counts': [26, 2302, 117434, 5764798, 282466586, 13841066302, 678220347194, 33232907548798, 1628413455141146, 79792265675109502], 'curve_counts_str': '26 2302 117434 5764798 282466586 13841066302 678220347194 33232907548798 1628413455141146 79792265675109502 ', 'curves': ['y^2=(2*a+2)*x^6+3*x^5+(6*a+1)*x^4+4*x^3+(6*a+6)*x^2+(2*a+6)*x+3*a+4', 'y^2=(a+4)*x^6+4*x^5+(3*a+5)*x^4+(4*a+3)*x^3+(4*a+1)*x^2+3*x+a+2', 'y^2=5*a*x^6+3*a*x^5+3*a*x+5*a', 'y^2=2*a*x^6+2*a*x^5+a*x^4+5*a*x^3+a*x^2+2*a*x+2*a', 'y^2=3*x^6+(6*a+3)*x^5+2*x^4+(5*a+4)*x^3+(2*a+6)*x^2+(a+4)*x+4*a+5', 'y^2=(5*a+4)*x^6+3*x^5+a*x^4+4*x^3+(a+5)*x^2+(5*a+1)*x+4*a'], '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, 'g': 2, 'galois_groups': ['1T1', '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': 3, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['1T1', '2T1'], 'geometric_number_fields': ['1.1.1.1', '2.0.24.1'], 'geometric_splitting_field': '2.0.24.1', 'geometric_splitting_polynomials': [[6, 0, 1]], 'has_geom_ss_factor': True, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 6, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 6, 'label': '2.49.ay_je', 'max_divalg_dim': 4, 'max_geom_divalg_dim': 4, 'max_twist_degree': 4, 'newton_coelevation': 1, 'newton_elevation': 1, 'number_fields': ['1.1.1.1', '2.0.24.1'], 'p': 7, 'p_rank': 1, 'p_rank_deficit': 1, 'poly': [1, -24, 238, -1176, 2401], 'poly_str': '1 -24 238 -1176 2401 ', 'primitive_models': [], 'q': 49, 'real_poly': [1, -24, 140], 'simple_distinct': ['1.49.ao', '1.49.ak'], 'simple_factors': ['1.49.aoA', '1.49.akA'], 'simple_multiplicities': [1, 1], 'slopes': ['0A', '1/2A', '1/2B', '1A'], 'splitting_field': '2.0.24.1', 'splitting_polynomials': [[6, 0, 1]], 'twist_count': 6, 'twists': [['2.49.ae_abq', '2.2401.adw_hkg', 2], ['2.49.e_abq', '2.2401.adw_hkg', 2], ['2.49.y_je', '2.2401.adw_hkg', 2], ['2.49.ak_du', '2.5764801.ae_azexfm', 4], ['2.49.k_du', '2.5764801.ae_azexfm', 4]]} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['1/2'], 'center': '1.1.1.1', 'center_dim': 1, 'divalg_dim': 4, 'extension_label': '1.49.ao', 'galois_group': '1T1', 'places': [['0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.24.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.49.ak', 'galois_group': '2T1', 'places': [['1', '1'], ['6', '1']]}
Abelian variety isogeny class data - 2.49.ay_je