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av_fq_isog • Show schema
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{'abvar_count': 4487, 'abvar_counts': [4487, 14569289, 51176370812, 191657962375481, 713429867187911727, 2654333919086259666704, 9876819414398433862499687, 36751700486871132839437195625, 136753053479154095841806220134492, 508858108244906090319102121295353929], 'abvar_counts_str': '4487 14569289 51176370812 191657962375481 713429867187911727 2654333919086259666704 9876819414398433862499687 36751700486871132839437195625 136753053479154095841806220134492 508858108244906090319102121295353929 ', 'all_polarized_product': False, 'all_unpolarized_product': False, 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.573727554125392, 0.634690486020749], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 72, 'curve_counts': [72, 3912, 225462, 13842276, 844699252, 51520082142, 3142738661652, 191707347582468, 11694146147443182, 713342909735656552], 'curve_counts_str': '72 3912 225462 13842276 844699252 51520082142 3142738661652 191707347582468 11694146147443182 713342909735656552 ', 'curves': ['y^2=x^6+24*x^5+35*x^4+41*x^3+21*x^2+28*x+16', 'y^2=47*x^6+20*x^5+34*x^4+18*x^3+30*x^2+19*x+41', 'y^2=43*x^6+26*x^5+42*x^4+53*x^3+6*x^2+16*x+23', 'y^2=36*x^6+42*x^5+34*x^4+47*x^3+42*x^2+48*x+28', 'y^2=7*x^6+39*x^5+39*x^4+39*x^3+15*x^2+2*x+58', 'y^2=43*x^6+32*x^5+34*x^4+36*x^3+27*x^2+44*x+39', 'y^2=38*x^6+31*x^5+45*x^4+27*x^3+37*x^2+9*x+54', 'y^2=2*x^6+41*x^5+31*x^4+17*x^3+23*x^2+31*x+4', 'y^2=42*x^6+60*x^5+30*x^4+5*x^3+38*x^2+56*x+42', 'y^2=50*x^6+41*x^5+59*x^4+4*x^3+25*x^2+47*x+5', 'y^2=27*x^6+25*x^5+19*x^4+19*x^3+5*x^2+x+59', 'y^2=15*x^6+30*x^5+18*x^4+13*x^3+50*x^2+42*x+57', 'y^2=28*x^6+47*x^5+7*x^3+51*x^2+56*x+29', 'y^2=17*x^6+11*x^5+23*x^4+44*x^3+49*x^2+54*x+49', 'y^2=28*x^6+2*x^5+51*x^4+58*x^3+36*x^2+35*x+47', 'y^2=9*x^6+34*x^5+12*x^4+25*x^3+32*x^2+57*x+17', 'y^2=6*x^6+47*x^5+57*x^4+25*x^3+29*x^2+45*x+41', 'y^2=3*x^6+x^5+35*x^4+47*x^3+12*x^2+38*x+1', 'y^2=17*x^6+46*x^5+25*x^4+28*x^3+45*x^2+4*x+5', 'y^2=35*x^6+59*x^5+32*x^4+18*x^3+24*x^2+59*x+7', 'y^2=22*x^6+3*x^5+14*x^4+58*x^3+59*x^2+27*x+36'], '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': ['4.0.3000896.2'], 'geometric_splitting_field': '4.0.3000896.2', 'geometric_splitting_polynomials': [[3007, -98, 109, -2, 1]], 'group_structure_count': 1, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 21, 'is_geometrically_simple': True, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': True, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 21, 'label': '2.61.k_fp', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'number_fields': ['4.0.3000896.2'], 'p': 61, 'p_rank': 2, 'p_rank_deficit': 0, 'pic_prime_gens': [[1, 7, 1, 7], [1, 17, 1, 3]], 'poly': [1, 10, 145, 610, 3721], 'poly_str': '1 10 145 610 3721 ', 'primitive_models': [], 'principal_polarization_count': 21, 'q': 61, 'real_poly': [1, 10, 23], 'simple_distinct': ['2.61.k_fp'], 'simple_factors': ['2.61.k_fpA'], 'simple_multiplicities': [1], 'singular_primes': [], 'size': 21, 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.3000896.2', 'splitting_polynomials': [[3007, -98, 109, -2, 1]], 'twist_count': 2, 'twists': [['2.61.ak_fp', '2.3721.hi_ybr', 2]], 'weak_equivalence_count': 1, 'zfv_index': 1, 'zfv_index_factorization': [], 'zfv_is_bass': True, 'zfv_is_maximal': True, 'zfv_pic_size': 21, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 46889, 'zfv_singular_count': 0, 'zfv_singular_primes': []}
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av_fq_endalg_factors • Show schema
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{'base_label': '2.61.k_fp', 'extension_degree': 1, 'extension_label': '2.61.k_fp', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '4.0.3000896.2', 'center_dim': 4, 'divalg_dim': 1, 'extension_label': '2.61.k_fp', 'galois_group': '4T3', 'places': [['238/61', '112/61', '1/61', '1/61'], ['58', '1', '0', '0']]}
