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av_fq_isog • Show schema
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{'abvar_count': 5850, 'abvar_counts': [5850, 26640900, 127502505000, 645530959101600, 3255511666751808750, 16409673678429911880000, 82721127909723189456603150, 416997650527677841601746166400, 2102085035113638476444818657005000, 10596610563524213471883699312461422500], 'abvar_counts_str': '5850 26640900 127502505000 645530959101600 3255511666751808750 16409673678429911880000 82721127909723189456603150 416997650527677841601746166400 2102085035113638476444818657005000 10596610563524213471883699312461422500 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.556968285565791, 0.615871442562135], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 81, 'curve_counts': [81, 5281, 356238, 25402921, 1804377951, 128100213178, 9095111056161, 645753573694321, 45848501088886818, 3255243547057117801], 'curve_counts_str': '81 5281 356238 25402921 1804377951 128100213178 9095111056161 645753573694321 45848501088886818 3255243547057117801 ', 'curves': ['y^2=67*x^6+42*x^5+56*x^4+43*x^3+4*x^2+11*x+21', 'y^2=38*x^6+57*x^5+40*x^4+7*x^3+67*x^2+13*x+36', 'y^2=38*x^6+19*x^5+21*x^4+17*x^3+20*x^2+61*x', 'y^2=3*x^6+60*x^5+39*x^4+30*x^3+51*x^2+34*x+10', 'y^2=9*x^6+8*x^5+27*x^4+30*x^3+28*x^2+62*x+32', 'y^2=43*x^6+58*x^5+26*x^4+60*x^3+70*x^2+2*x+67', 'y^2=13*x^6+5*x^5+14*x^4+54*x^3+47*x^2+58*x+39', 'y^2=7*x^6+17*x^5+53*x^4+23*x^3+56*x^2+63*x+52', 'y^2=68*x^6+57*x^5+4*x^4+11*x^3+48*x^2+24*x+60', 'y^2=44*x^6+38*x^5+62*x^4+67*x^3+61*x^2+35*x+15', 'y^2=14*x^6+61*x^5+56*x^4+42*x^3+45*x^2+3*x+7', 'y^2=69*x^6+60*x^5+65*x^4+34*x^3+62*x^2+38*x+50', 'y^2=7*x^6+46*x^5+24*x^4+46*x^3+27*x^2+14*x+31', 'y^2=12*x^6+41*x^5+22*x^4+21*x^3+43*x^2+43*x+32', 'y^2=9*x^6+8*x^5+3*x^4+53*x^3+60*x^2+64', 'y^2=63*x^6+12*x^5+11*x^4+52*x^3+47*x^2+70*x+45', 'y^2=40*x^6+22*x^5+43*x^4+70*x^3+48*x^2+25*x+41', 'y^2=29*x^6+10*x^5+61*x^4+9*x^3+24*x^2+58*x+23', 'y^2=12*x^6+29*x^5+47*x^4+63*x^3+41*x^2+15*x', 'y^2=31*x^6+54*x^5+38*x^4+54*x^3+59*x^2+29*x+19', 'y^2=62*x^6+70*x^5+15*x^4+54*x^3+29*x^2+61*x+19', 'y^2=5*x^5+24*x^4+28*x^3+x^2+24*x+5', 'y^2=68*x^6+9*x^5+51*x^4+44*x^3+9*x^2+10*x+38', 'y^2=49*x^6+23*x^5+25*x^4+22*x^3+10*x^2+18*x+66', 'y^2=56*x^6+27*x^5+19*x^4+22*x^3+x^2+42*x+30', 'y^2=6*x^6+7*x^5+69*x^4+54*x^3+38*x^2+70*x+66', 'y^2=65*x^6+35*x^5+38*x^4+39*x^3+61*x^2+36*x+39', 'y^2=60*x^6+63*x^5+61*x^4+51*x^3+27*x^2+19*x+6', 'y^2=47*x^6+43*x^5+70*x^4+66*x^3+12*x^2+34*x+69', 'y^2=29*x^6+25*x^5+70*x^4+69*x^3+23*x^2+35*x+48', 'y^2=43*x^6+26*x^5+52*x^4+4*x^3+6*x^2+24*x+17', 'y^2=31*x^6+20*x^5+48*x^4+48*x^3+15*x^2+68*x+60', 'y^2=51*x^6+32*x^5+26*x^4+14*x^3+43*x^2+23*x+4', 'y^2=19*x^6+36*x^5+3*x^4+45*x^3+38*x^2+18*x+15', 'y^2=17*x^6+3*x^5+67*x^4+48*x^3+27*x^2+41*x+43', 'y^2=59*x^6+60*x^5+22*x^4+19*x^3+x^2+36*x+66', 'y^2=37*x^6+2*x^5+20*x^4+60*x^3+40*x^2+70*x+28', 'y^2=64*x^6+38*x^5+9*x^3+16*x^2+62*x+24', 'y^2=25*x^6+69*x^5+6*x^4+3*x^3+49*x^2+52*x+47', 'y^2=5*x^6+42*x^5+37*x^4+28*x^3+31*x^2+65*x+36'], '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, 'endomorphism_ring_count': 8, 'g': 2, 'galois_groups': ['2T1', '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': 4, 'geometric_extension_degree': 1, 'geometric_galois_groups': ['2T1', '2T1'], 'geometric_number_fields': ['2.0.11.1', '2.0.248.1'], 'geometric_splitting_field': '4.0.7441984.4', 'geometric_splitting_polynomials': [[3543, -130, 131, -2, 1]], 'group_structure_count': 4, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 40, 'is_cyclic': False, 'is_geometrically_simple': False, 'is_geometrically_squarefree': True, 'is_primitive': True, 'is_simple': False, 'is_squarefree': True, 'is_supersingular': False, 'jacobian_count': 40, 'label': '2.71.j_ge', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 2, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3, 5], 'number_fields': ['2.0.11.1', '2.0.248.1'], 'p': 71, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, 9, 160, 639, 5041], 'poly_str': '1 9 160 639 5041 ', 'primitive_models': [], 'q': 71, 'real_poly': [1, 9, 18], 'simple_distinct': ['1.71.d', '1.71.g'], 'simple_factors': ['1.71.dA', '1.71.gA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,F+4', '3,-V+8', '5,12*F-2'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.7441984.4', 'splitting_polynomials': [[3543, -130, 131, -2, 1]], 'twist_count': 4, 'twists': [['2.71.aj_ge', '2.5041.jf_bjua', 2], ['2.71.ad_eu', '2.5041.jf_bjua', 2], ['2.71.d_eu', '2.5041.jf_bjua', 2]], 'weak_equivalence_count': 8, 'zfv_index': 45, 'zfv_index_factorization': [[3, 2], [5, 1]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 68200, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,F+4', '3,-V+8', '5,12*F-2']}
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av_fq_endalg_factors • Show schema
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id: 76188
{'base_label': '2.71.j_ge', 'extension_degree': 1, 'extension_label': '1.71.d', 'multiplicity': 1}
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id: 76189
{'base_label': '2.71.j_ge', 'extension_degree': 1, 'extension_label': '1.71.g', 'multiplicity': 1}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.11.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.d', 'galois_group': '2T1', 'places': [['14', '1'], ['56', '1']]}
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av_fq_endalg_data • Show schema
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{'brauer_invariants': ['0', '0'], 'center': '2.0.248.1', 'center_dim': 2, 'divalg_dim': 1, 'extension_label': '1.71.g', 'galois_group': '2T1', 'places': [['3', '1'], ['68', '1']]}
