# Stored data for abelian variety isogeny class 2.71.abb_me, downloaded from the LMFDB on 30 April 2024.
{"label": "2.71.abb_me", "g": 2, "p": 71, "q": 71, "poly": [1, -27, 316, -1917, 5041], "poly_str": "1 -27 316 -1917 5041 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.076155398157945, 0.282792842051295], "angle_rank": 2, "number_fields": ["4.0.2970792.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [3414, 24929028, 128158023096, 645840715904928, 3255228403799473794, 16409617232501472706368, 82721161642591253091133794, 416997611870370861813366920832, 2102085031704688232410767105498264, 10596610595064842676608600328860143908], "abvar_counts_str": "3414 24929028 128158023096 645840715904928 3255228403799473794 16409617232501472706368 82721161642591253091133794 416997611870370861813366920832 2102085031704688232410767105498264 10596610595064842676608600328860143908 ", "abvar_count": 3414, "curve_counts": [45, 4945, 358074, 25415113, 1804220955, 128099772538, 9095114765061, 645753513830449, 45848501014534326, 3255243556746294265], "curve_counts_str": "45 4945 358074 25415113 1804220955 128099772538 9095114765061 645753513830449 45848501014534326 3255243556746294265 ", "curve_count": 45, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.2970792.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.71.bb_me", "2.5041.adt_jmy", 2]], "twist_count": 2, "max_twist_degree": 2, "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "is_simple": true, "is_geometrically_simple": true, "simple_distinct": ["2.71.abb_me"], "simple_multiplicities": [1], "simple_factors": ["2.71.abb_meA"], "dim1_factors": 0, "dim2_factors": 1, "dim3_factors": 0, "dim4_factors": 0, "dim5_factors": 0, "dim1_distinct": 0, "dim2_distinct": 1, "dim3_distinct": 0, "dim4_distinct": 0, "dim5_distinct": 0, "geom_dim1_factors": 0, "geom_dim2_factors": 1, "geom_dim3_factors": 0, "geom_dim4_factors": 0, "geom_dim5_factors": 0, "geom_dim1_distinct": 0, "geom_dim2_distinct": 1, "geom_dim3_distinct": 0, "geom_dim4_distinct": 0, "geom_dim5_distinct": 0, "has_geom_ss_factor": false, "real_poly": [1, -27, 174], "jacobian_count": 12, "curves": ["y^2=55*x^6+30*x^5+59*x^4+28*x^3+9*x^2+x+6", "y^2=61*x^6+53*x^5+40*x^4+28*x^3+65*x^2+4*x+68", "y^2=61*x^6+44*x^5+39*x^4+19*x^3+29*x^2+42*x+35", "y^2=27*x^6+58*x^5+57*x^4+42*x^3+66*x^2+40*x+42", "y^2=67*x^6+25*x^5+19*x^4+34*x^3+68*x^2+11*x+33", "y^2=24*x^6+11*x^5+24*x^4+24*x^3+16*x^2+3*x+53", "y^2=61*x^6+33*x^5+56*x^4+30*x^3+31*x^2+15*x+35", "y^2=52*x^6+54*x^5+4*x^4+41*x^3+29*x^2+9*x+66", "y^2=9*x^6+41*x^5+24*x^4+30*x^3+48*x^2+25*x+70", "y^2=23*x^6+51*x^5+2*x^4+6*x^3+25*x^2+40*x+61", "y^2=41*x^6+17*x^5+4*x^4+x^3+22*x^2+24*x+41", "y^2=61*x^6+60*x^5+55*x^4+29*x^3+40*x^2+57*x+16"], "hyp_count": 12, "zfv_is_bass": true, "zfv_is_maximal": true, "zfv_index": 1, "zfv_index_factorization": [], "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 2728, "geometric_splitting_field": "4.0.2970792.1", "splitting_field": "4.0.2970792.1", "geometric_splitting_polynomials": [[246, 90, 43, -1, 1]], "splitting_polynomials": [[246, 90, 43, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 12, "principal_polarization_count": 12, "pic_prime_gens": [[1, 2, 1, 2], [1, 3, 1, 6]]}