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av_fq_isog • Show schema
{'abvar_count': 4711, 'abvar_counts': [4711, 19630737, 90904662016, 406167349317849, 1822931458090992151, 8182728660934115721216, 36732195689116362515827663, 164890952324405686829797677225, 740195499574989631359138178207744, 3322737665551304597951190601067222577], 'abvar_counts_str': '4711 19630737 90904662016 406167349317849 1822931458090992151 8182728660934115721216 36732195689116362515827663 164890952324405686829797677225 740195499574989631359138178207744 3322737665551304597951190601067222577 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 1, 'angle_rank': 1, 'angles': [0.245237597128789, 0.911904263795456], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 4372, 302244, 20156068, 1350194472, 90458490022, 6060706742232, 406067661717316, 27206533871355228, 1822837806662875732], 'curve_counts_str': '72 4372 302244 20156068 1350194472 90458490022 6060706742232 406067661717316 27206533871355228 1822837806662875732 ', 'curves': ['y^2=2*x^6+4*x^3+27', 'y^2=28*x^6+16*x^5+52*x^4+49*x^3+66*x^2+61*x+55', 'y^2=49*x^6+64*x^5+63*x^4+34*x^3+21*x^2+23*x+36', 'y^2=2*x^6+2*x^3+31', 'y^2=2*x^6+35*x^5+9*x^4+46*x^3+35*x^2+x+42', 'y^2=2*x^6+2*x^3+53', 'y^2=30*x^6+24*x^5+14*x^4+53*x^3+66*x^2+20*x+53', 'y^2=2*x^6+2*x^3+46', 'y^2=2*x^6+4*x^3+52', 'y^2=64*x^6+60*x^5+59*x^4+30*x^3+3*x^2+33*x+16', 'y^2=37*x^6+39*x^5+54*x^4+10*x^3+56*x^2+42*x+10', 'y^2=27*x^6+64*x^5+33*x^4+26*x^3+58*x^2+33*x+19', 'y^2=5*x^6+7*x^5+57*x^4+38*x^3+6*x^2+2*x+50', 'y^2=28*x^6+65*x^5+59*x^4+54*x^3+25*x^2+21*x+4', 'y^2=37*x^6+30*x^5+51*x^4+59*x^3+17*x^2+54*x+29', 'y^2=60*x^6+54*x^5+33*x^4+33*x^3+31*x^2+56*x+46', 'y^2=55*x^6+46*x^5+30*x^4+39*x^3+20*x^2+2*x+48', 'y^2=66*x^6+39*x^5+20*x^4+45*x^3+52*x^2+33*x+1', 'y^2=29*x^6+7*x^5+55*x^4+57*x^3+49*x^2+35*x+8', 'y^2=31*x^6+54*x^5+32*x^4+33*x^3+18*x^2+34*x+10', 'y^2=2*x^6+2*x^3+58', 'y^2=23*x^6+35*x^5+42*x^4+44*x^3+55*x^2+53*x+14', 'y^2=46*x^6+36*x^5+3*x^4+51*x^3+48*x^2+51*x+40', 'y^2=57*x^6+25*x^5+31*x^4+2*x^3+34*x^2+8*x+7', 'y^2=2*x^6+2*x^3+12', 'y^2=21*x^6+4*x^5+x^4+4*x^3+36*x^2+29*x+10', 'y^2=46*x^6+7*x^5+59*x^4+11*x^3+7*x^2+43*x+24', 'y^2=2*x^6+4*x^3+5'], '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': 16, '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': 3, 'geometric_galois_groups': ['2T1'], 'geometric_number_fields': ['2.0.7.1'], 'geometric_splitting_field': '2.0.7.1', 'geometric_splitting_polynomials': [[2, -1, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 28, 'is_geometrically_simple': False, 'is_geometrically_squarefree': False, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 28, 'label': '2.67.e_abz', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 12, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.441.1'], 'p': 67, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 36], [1, 5, 1, 3]], 'poly': [1, 4, -51, 268, 4489], 'poly_str': '1 4 -51 268 4489 ', 'primitive_models': [], 'principal_polarization_count': 28, 'q': 67, 'real_poly': [1, 4, -185], 'simple_distinct': ['2.67.e_abz'], 'simple_factors': ['2.67.e_abzA'], 'simple_multiplicities': [1], 'singular_primes': ['2,3*F^2+V+2', '3,5*F-5*V-24', '17,-9*F^2+3*F+9*V+39'], 'size': 244, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.441.1', 'splitting_polynomials': [[4, -2, -1, -1, 1]], 'twist_count': 6, 'twists': [['2.67.ae_abz', '2.4489.aeo_nyx', 2], ['2.67.ai_fu', '2.300763.cey_cnjxe', 3], ['2.67.a_eo', '2.90458382169.gdoe_wxbrnssc', 6], ['2.67.i_fu', '2.90458382169.gdoe_wxbrnssc', 6], ['2.67.a_aeo', '2.8182718904632857144561.bsimiqvbo_bcqxarvzgcvlwqmjm', 12]], 'weak_equivalence_count': 16, 'zfv_index': 1836, 'zfv_index_factorization': [[2, 2], [3, 3], [17, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_pic_size': 108, 'zfv_plus_index': 6, 'zfv_plus_index_factorization': [[2, 1], [3, 1]], 'zfv_plus_norm': 2601, 'zfv_singular_count': 6, 'zfv_singular_primes': ['2,3*F^2+V+2', '3,5*F-5*V-24', '17,-9*F^2+3*F+9*V+39']} - av_fq_endalg_factors • Show schema
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av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0', '0', '0'], 'center': '4.0.441.1', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.67.e_abz', 'galois_group': '4T2', 'places': [['62', '1', '0', '0'], ['16', '1', '0', '0'], ['42', '1', '0', '0'], ['13', '1', '0', '0']]} -
av_fq_endalg_data • Show schema
{'brauer_invariants': ['0', '0'], 'center': '2.0.7.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.300763.bcm', 'galois_group': '2T1', 'places': [['11', '1'], ['55', '1']]}
Abelian variety isogeny class data - 2.67.e_abz