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av_fq_isog • Show schema
{'abvar_count': 1611, 'abvar_counts': [1611, 2595321, 4750104384, 7975444790889, 13422659511019851, 22563491658896019456, 37929227195252413990971, 63759076148975042962929609, 107178930967531782332811726144, 180167788348771665548906116062201], 'abvar_counts_str': '1611 2595321 4750104384 7975444790889 13422659511019851 22563491658896019456 37929227195252413990971 63759076148975042962929609 107178930967531782332811726144 180167788348771665548906116062201 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.0833879852921374, 0.916612014707863], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 42, 'curve_counts': [42, 1540, 68922, 2822404, 115856202, 4750104526, 194754273882, 7984930894084, 327381934393962, 13422659711887300], 'curve_counts_str': '42 1540 68922 2822404 115856202 4750104526 194754273882 7984930894084 327381934393962 13422659711887300 ', 'curves': ['y^2=30*x^6+28*x^5+28*x^4+25*x^3+8*x^2+40*x+34', 'y^2=2*x^6+19*x^5+27*x^4+38*x^3+33*x^2+31*x+29', 'y^2=3*x^6+2*x^5+9*x^4+29*x^3+27*x^2+14*x+29', 'y^2=18*x^6+12*x^5+13*x^4+10*x^3+39*x^2+2*x+10', 'y^2=13*x^6+35*x^5+21*x^4+32*x^3+19*x^2+38*x+32', 'y^2=37*x^6+5*x^5+3*x^4+28*x^3+32*x^2+23*x+28', 'y^2=8*x^6+29*x^5+37*x^4+14*x^3+31*x^2+29', 'y^2=7*x^6+10*x^5+17*x^4+2*x^3+22*x^2+10', 'y^2=21*x^6+31*x^5+21*x^4+28*x^3+3*x^2+6*x+29', 'y^2=2*x^6+10*x^5+9*x^4+22*x^3+13*x^2+38*x+31', 'y^2=24*x^6+16*x^5+34*x^4+10*x^3+32*x^2+32*x+32', 'y^2=21*x^6+14*x^5+40*x^4+19*x^3+28*x^2+28*x+28', 'y^2=33*x^6+8*x^5+29*x^4+35*x^3+10*x^2+3*x+13', 'y^2=15*x^6+25*x^5+15*x^4+2*x^3+37*x^2+8*x+1', 'y^2=8*x^6+27*x^5+8*x^4+12*x^3+17*x^2+7*x+6'], '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': 8, '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': ['2.0.187.1'], 'geometric_splitting_field': '2.0.187.1', 'geometric_splitting_polynomials': [[47, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 15, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 15, 'label': '2.41.a_act', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 4, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['4.0.34969.1'], 'p': 41, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 5, 1, 3], [1, 47, 1, 4]], 'poly': [1, 0, -71, 0, 1681], 'poly_str': '1 0 -71 0 1681 ', 'primitive_models': [], 'principal_polarization_count': 20, 'q': 41, 'real_poly': [1, 0, -153], 'simple_distinct': ['2.41.a_act'], 'simple_factors': ['2.41.a_actA'], 'simple_multiplicities': [1], 'singular_primes': ['2,-F^2+F-5', '3,-2*F^2+2*F', '3,-F^2-F'], 'size': 28, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.34969.1', 'splitting_polynomials': [[49, 0, -3, 0, 1]], 'twist_count': 2, 'twists': [['2.41.a_ct', '2.2825761.aeze_snykx', 4]], 'weak_equivalence_count': 8, 'zfv_index': 36, 'zfv_index_factorization': [[2, 2], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 12, 'zfv_plus_index': 6, 'zfv_plus_index_factorization': [[2, 1], [3, 1]], 'zfv_plus_norm': 121, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,-F^2+F-5', '3,-2*F^2+2*F', '3,-F^2-F']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '4.0.34969.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.41.a_act', 'galois_group': '4T2', 'places': [['0', '25', '0', '13'], ['0', '36', '0', '26']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.187.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.1681.act', 'galois_group': '2T1', 'places': [['15', '1'], ['25', '1']]}
Abelian variety isogeny class data - 2.41.a_act