# Stored data for abelian variety isogeny class 2.5.e_l, downloaded from the LMFDB on 02 January 2026.
{"abvar_count": 61, "abvar_counts": [61, 793, 14884, 381433, 9530701, 251539600, 6060308581, 152176891113, 3820312611844, 95362793192953], "abvar_counts_str": "61 793 14884 381433 9530701 251539600 6060308581 152176891113 3820312611844 95362793192953 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.519083049016233, 0.8142502843171], "center_dim": 4, "cohen_macaulay_max": 1, "curve_count": 10, "curve_counts": [10, 32, 118, 612, 3050, 16094, 77570, 389572, 1955998, 9765152], "curve_counts_str": "10 32 118 612 3050 16094 77570 389572 1955998 9765152 ", "curves": ["y^2=3*x^6+2*x^5+4*x^4+x^3+2*x^2+x+1", "y^2=x^6+3*x^5+x^4+3*x^3+1"], "dim1_distinct": 0, "dim1_factors": 0, "dim2_distinct": 1, "dim2_factors": 1, "dim3_distinct": 0, "dim3_factors": 0, "dim4_distinct": 0, "dim4_factors": 0, "dim5_distinct": 0, "dim5_factors": 0, "endomorphism_ring_count": 2, "g": 2, "galois_groups": ["4T2"], "geom_dim1_distinct": 1, "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": 2, "geometric_extension_degree": 3, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.4.1"], "geometric_splitting_field": "2.0.4.1", "geometric_splitting_polynomials": [[1, 0, 1]], "group_structure_count": 1, "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 2, "is_cyclic": true, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": true, "is_squarefree": true, "is_supersingular": false, "jacobian_count": 2, "label": "2.5.e_l", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 24, "newton_coelevation": 2, "newton_elevation": 0, "noncyclic_primes": [], "number_fields": ["4.0.144.1"], "p": 5, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 4, 11, 20, 25], "poly_str": "1 4 11 20 25 ", "primitive_models": [], "q": 5, "real_poly": [1, 4, 1], "simple_distinct": ["2.5.e_l"], "simple_factors": ["2.5.e_lA"], "simple_multiplicities": [1], "singular_primes": ["11,-22*F-3*V-12"], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "4.0.144.1", "splitting_polynomials": [[1, 0, -1, 0, 1]], "twist_count": 16, "twists": [["2.5.ae_l", "2.25.g_l", 2], ["2.5.ai_ba", "2.125.ai_kg", 3], ["2.5.ac_ab", "2.625.ao_aqn", 4], ["2.5.c_ab", "2.625.ao_aqn", 4], ["2.5.a_ag", "2.15625.sa_exfy", 6], ["2.5.i_ba", "2.15625.sa_exfy", 6], ["2.5.ag_s", "2.244140625.acroe_djppwqg", 12], ["2.5.ae_o", "2.244140625.acroe_djppwqg", 12], ["2.5.ac_c", "2.244140625.acroe_djppwqg", 12], ["2.5.a_g", "2.244140625.acroe_djppwqg", 12], ["2.5.c_c", "2.244140625.acroe_djppwqg", 12], ["2.5.e_o", "2.244140625.acroe_djppwqg", 12], ["2.5.g_s", "2.244140625.acroe_djppwqg", 12], ["2.5.a_ai", "2.59604644775390625.akvffce_bhpsebnknczgg", 24], ["2.5.a_i", "2.59604644775390625.akvffce_bhpsebnknczgg", 24]], "weak_equivalence_count": 2, "zfv_index": 11, "zfv_index_factorization": [[11, 1]], "zfv_is_bass": true, "zfv_is_maximal": false, "zfv_plus_index": 1, "zfv_plus_index_factorization": [], "zfv_plus_norm": 121, "zfv_singular_count": 2, "zfv_singular_primes": ["11,-22*F-3*V-12"]}