Formats: - HTML - YAML - JSON - 2026-02-28T06:54:21.256312
Query: /api/av_fq_isog/?_offset=0
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{'abvar_count': 837, 'abvar_counts': [837, 1845585, 2582191872, 3517435856025, 4809182382182277, 6582957534912245760, 9012066317924906730141, 12337521580684587833152425, 16890057862873260352912205568, 23122484522484451655507532385425], 'abvar_counts_str': '837 1845585 2582191872 3517435856025 4809182382182277 6582957534912245760 9012066317924906730141 12337521580684587833152425 16890057862873260352912205568 23122484522484451655507532385425 ', 'angle_corank': 0, 'angle_rank': 2, 'angles': [0.140472200255843, 0.30484777250156], 'center_dim': 4, 'cohen_macaulay_max': 1, 'curve_count': 20, 'curve_counts': [20, 1348, 50978, 1876804, 69352580, 2565728566, 94931930036, 3512482205956, 129961770975866, 4808584550396068], 'curve_counts_str': '20 1348 50978 1876804 69352580 2565728566 94931930036 3512482205956 129961770975866 4808584550396068 ', 'curves': ['y^2=24*x^6+6*x^5+36*x^4+x^3+30*x^2+35*x+18', 'y^2=2*x^6+13*x^5+4*x^4+25*x^3+28*x^2+8*x+20', 'y^2=17*x^6+14*x^5+12*x^4+32*x^3+26*x^2+2*x+22', 'y^2=20*x^6+12*x^5+36*x^4+34*x^3+36*x^2+19*x+15', 'y^2=20*x^6+11*x^5+7*x^4+3*x^3+26*x^2+3*x+2', 'y^2=6*x^6+21*x^5+23*x^4+29*x^3+11*x^2+26*x+7', 'y^2=7*x^6+10*x^5+9*x^4+35*x^3+3*x^2+34*x+3', 'y^2=8*x^6+27*x^5+21*x^3+25*x+31', 'y^2=19*x^6+22*x^5+20*x^4+17*x^3+22*x^2+7*x+21', 'y^2=8*x^6+23*x^5+33*x^4+32*x^3+11*x^2+19*x+14', 'y^2=13*x^6+22*x^5+24*x^4+5*x^3+2*x^2+13*x+19', 'y^2=34*x^6+36*x^5+15*x^4+23*x^3+17*x^2+27*x+3', 'y^2=29*x^6+24*x^5+34*x^3+27*x^2+33*x+15', 'y^2=25*x^6+24*x^5+7*x^4+32*x^3+11*x^2+20*x+16', 'y^2=5*x^6+15*x^5+13*x^4+9*x^3+23*x^2+7*x+25', 'y^2=33*x^6+11*x^5+30*x^4+2*x^3+21*x^2+25*x+34', 'y^2=18*x^6+23*x^5+25*x^4+35*x^3+23*x^2+3*x+13', 'y^2=23*x^6+24*x^5+32*x^4+35*x^3+33*x^2+16*x+9', 'y^2=30*x^6+26*x^5+32*x^4+31*x^3+35*x^2+16*x+33', 'y^2=32*x^6+14*x^5+x^4+23*x^3+27*x^2+25*x+14', 'y^2=2*x^6+21*x^5+6*x^4+11*x^3+16*x^2+26*x+4', 'y^2=14*x^6+17*x^5+10*x^4+5*x^3+3*x^2+20*x+29', 'y^2=22*x^6+6*x^4+10*x^3+34*x+35', 'y^2=20*x^6+24*x^5+22*x^4+10*x^3+x^2+15'], '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': 12, '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': ['2.0.3.1', '2.0.11.1'], 'geometric_splitting_field': '4.0.1089.1', 'geometric_splitting_polynomials': [[9, -3, -2, -1, 1]], 'group_structure_count': 2, 'has_geom_ss_factor': False, 'has_jacobian': 1, 'has_principal_polarization': 1, 'hyp_count': 24, 'id': 18455, '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': 24, 'label': '2.37.as_fv', 'max_divalg_dim': 1, 'max_geom_divalg_dim': 1, 'max_twist_degree': 6, 'newton_coelevation': 2, 'newton_elevation': 0, 'noncyclic_primes': [3], 'number_fields': ['2.0.3.1', '2.0.11.1'], 'p': 37, 'p_rank': 2, 'p_rank_deficit': 0, 'poly': [1, -18, 151, -666, 1369], 'poly_str': '1 -18 151 -666 1369 ', 'primitive_models': [], 'q': 37, 'real_poly': [1, -18, 77], 'simple_distinct': ['1.37.al', '1.37.ah'], 'simple_factors': ['1.37.alA', '1.37.ahA'], 'simple_multiplicities': [1, 1], 'singular_primes': ['3,11*F-5', '2,-F^2+V-50', '3,-4*F+11'], 'slopes': ['0A', '0B', '1A', '1B'], 'splitting_field': '4.0.1089.1', 'splitting_polynomials': [[9, -3, -2, -1, 1]], 'twist_count': 12, 'twists': [['2.37.ae_ad', '2.1369.aw_cid', 2], ['2.37.e_ad', '2.1369.aw_cid', 2], ['2.37.s_fv', '2.1369.aw_cid', 2], ['2.37.ag_cp', '2.50653.mm_dbgg', 3], ['2.37.d_e', '2.50653.mm_dbgg', 3], ['2.37.ar_fo', '2.2565726409.dey_ainrvlkc', 6], ['2.37.ai_dd', '2.2565726409.dey_ainrvlkc', 6], ['2.37.ad_e', '2.2565726409.dey_ainrvlkc', 6], ['2.37.g_cp', '2.2565726409.dey_ainrvlkc', 6], ['2.37.i_dd', '2.2565726409.dey_ainrvlkc', 6], ['2.37.r_fo', '2.2565726409.dey_ainrvlkc', 6]], 'weak_equivalence_count': 12, 'zfv_index': 144, 'zfv_index_factorization': [[2, 4], [3, 2]], 'zfv_is_bass': True, 'zfv_is_maximal': False, 'zfv_plus_index': 1, 'zfv_plus_index_factorization': [], 'zfv_plus_norm': 2673, 'zfv_singular_count': 6, 'zfv_singular_primes': ['3,11*F-5', '2,-F^2+V-50', '3,-4*F+11']}