# Stored data for abelian variety isogeny class 2.7.d_p, downloaded from the LMFDB on 15 May 2024.
{"label": "2.7.d_p", "g": 2, "p": 7, "q": 7, "poly": [1, 3, 15, 21, 49], "poly_str": "1 3 15 21 49 ", "slopes": ["0A", "0B", "1A", "1B"], "p_rank": 2, "p_rank_deficit": 0, "angles": [0.522997133842057, 0.664744734425308], "angle_rank": 2, "number_fields": ["4.0.14725.1"], "galois_groups": ["4T3"], "center_dim": 4, "abvar_counts": [89, 3649, 103151, 5652301, 286353584, 13833683761, 678191862899, 33224728332789, 1628212014774749, 79803632915463424], "abvar_counts_str": "89 3649 103151 5652301 286353584 13833683761 678191862899 33224728332789 1628212014774749 79803632915463424 ", "abvar_count": 89, "curve_counts": [11, 71, 299, 2355, 17036, 117587, 823505, 5763379, 40348613, 282515486], "curve_counts_str": "11 71 299 2355 17036 117587 823505 5763379 40348613 282515486 ", "curve_count": 11, "has_jacobian": 1, "has_principal_polarization": 1, "geometric_extension_degree": 1, "geometric_center_dim": 4, "geometric_number_fields": ["4.0.14725.1"], "geometric_galois_groups": ["4T3"], "primitive_models": [], "is_primitive": true, "twists": [["2.7.ad_p", "2.49.v_hp", 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": ["2.7.d_p"], "simple_multiplicities": [1], "simple_factors": ["2.7.d_pA"], "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, 3, 1], "jacobian_count": 2, "curves": ["y^2=2*x^6+3*x^4+5*x^3+x^2+5*x+5", "y^2=2*x^6+6*x^5+2*x^4+2*x^3+5*x^2+3*x"], "hyp_count": 2, "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": 589, "geometric_splitting_field": "4.0.14725.1", "splitting_field": "4.0.14725.1", "geometric_splitting_polynomials": [[41, -4, 12, -1, 1]], "splitting_polynomials": [[41, -4, 12, -1, 1]], "is_squarefree": true, "is_geometrically_squarefree": true, "size": 2, "principal_polarization_count": 2, "pic_prime_gens": [[1, 3, 1, 2]]}