# Stored data for abelian variety isogeny class 1.625.ad, downloaded from the LMFDB on 04 November 2025.
{"abvar_count": 623, "abvar_counts": [623, 391867, 244146224, 152587131795, 95367425865383, 59604645232334272, 37252902989599498439, 23283064365116314185315, 14551915228362927136891568, 9094947017729439760581962827], "abvar_counts_str": "623 391867 244146224 152587131795 95367425865383 59604645232334272 37252902989599498439 23283064365116314185315 14551915228362927136891568 9094947017729439760581962827 ", "all_polarized_product": false, "all_unpolarized_product": false, "angle_corank": 0, "angle_rank": 1, "angles": [0.48088992906936], "center_dim": 2, "curve_count": 623, "curve_counts": [623, 391867, 244146224, 152587131795, 95367425865383, 59604645232334272, 37252902989599498439, 23283064365116314185315, 14551915228362927136891568, 9094947017729439760581962827], "curve_counts_str": "623 391867 244146224 152587131795 95367425865383 59604645232334272 37252902989599498439 23283064365116314185315 14551915228362927136891568 9094947017729439760581962827 ", "curves": ["y^2=x^3+a^19*x+a^19", "y^2=x^3+a^339*x+a^340", "y^2=x^3+a^499*x+a^500", "y^2=x^3+a^475*x+a^475", "y^2=x^3+a^95*x+a^95", "y^2=x^3+a^319*x+a^320", "y^2=x^3+a^571*x+a^572", "y^2=x^3+a^315*x+a^316", "y^2=x^3+a^615*x+a^616", "y^2=x^3+a^439*x+a^440", "y^2=x^3+a^503*x+a^503", "y^2=x^3+a^351*x+a^352"], "dim1_distinct": 1, "dim1_factors": 1, "dim2_distinct": 0, "dim2_factors": 0, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "g": 1, "galois_groups": ["2T1"], "geom_dim1_distinct": 1, "geom_dim1_factors": 1, "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": 2, "geometric_extension_degree": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.2491.1"], "geometric_splitting_field": "2.0.2491.1", "geometric_splitting_polynomials": [[623, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 0, "is_geometrically_simple": true, "is_geometrically_squarefree": true, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 12, "label": "1.625.ad", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 2, "newton_coelevation": 1, "newton_elevation": 0, "number_fields": ["2.0.2491.1"], "p": 5, "p_rank": 1, "p_rank_deficit": 0, "poly": [1, -3, 625], "poly_str": "1 -3 625 ", "primitive_models": [], "principal_polarization_count": 12, "q": 625, "real_poly": [1, -3], "simple_distinct": ["1.625.ad"], "simple_factors": ["1.625.adA"], "simple_multiplicities": [1], "size": 12, "slopes": ["0A", "1A"], "splitting_field": "2.0.2491.1", "splitting_polynomials": [[623, -1, 1]], "twist_count": 2, "twists": [["1.625.d", "1.390625.bvt", 2]]}