# Stored data for abelian variety isogeny class 2.71.y_la, downloaded from the LMFDB on 03 November 2025.
{"abvar_count": 7056, "abvar_counts": [7056, 25401600, 127508983056, 646265881497600, 3255019299989177616, 16409690487890696505600, 82721284359747998194305936, 416997557581790061411449241600, 2102085047599879818847747083651216, 10596610574738309391610084593156000000], "abvar_counts_str": "7056 25401600 127508983056 646265881497600 3255019299989177616 16409690487890696505600 82721284359747998194305936 416997557581790061411449241600 2102085047599879818847747083651216 10596610574738309391610084593156000000 ", "angle_corank": 1, "angle_rank": 1, "angles": [0.752241693036309, 0.752241693036309], "center_dim": 2, "curve_count": 96, "curve_counts": [96, 5038, 356256, 25431838, 1804105056, 128100344398, 9095128257696, 645753429760318, 45848501361223776, 3255243550502050798], "curve_counts_str": "96 5038 356256 25431838 1804105056 128100344398 9095128257696 645753429760318 45848501361223776 3255243550502050798 ", "curves": ["y^2=37*x^6+65*x^5+44*x^4+70*x^3+70*x^2+52*x+60", "y^2=22*x^6+10*x^5+51*x^4+43*x^3+6*x^2+25*x+57", "y^2=47*x^6+53*x^5+42*x^4+11*x^3+56*x^2+39*x+22", "y^2=65*x^6+57*x^5+24*x^4+69*x^3+24*x^2+57*x+65", "y^2=52*x^6+11*x^5+11*x^4+23*x^3+17*x^2+55*x+12", "y^2=15*x^6+51*x^5+66*x^4+39*x^3+7*x^2+46*x+27", "y^2=19*x^6+55*x^4+55*x^2+19", "y^2=9*x^6+15*x^5+29*x^4+18*x^3+13*x^2+55*x+45", "y^2=69*x^6+26*x^5+52*x^4+46*x^3+47*x^2+11*x+34", "y^2=37*x^6+36*x^4+36*x^2+37", "y^2=12*x^6+52*x^5+2*x^4+24*x^3+40*x^2+68*x+8", "y^2=46*x^6+4*x^5+43*x^4+57*x^3+9*x^2+37*x+42", "y^2=6*x^6+65*x^5+12*x^4+49*x^3+12*x^2+65*x+6", "y^2=4*x^6+63*x^5+21*x^4+47*x^3+12*x^2+34*x+48", "y^2=7*x^6+38*x^5+30*x^4+64*x^3+49*x^2+40*x+22", "y^2=46*x^6+4*x^5+38*x^4+67*x^3+15*x^2+2*x+67", "y^2=36*x^6+38*x^5+22*x^4+69*x^3+22*x^2+38*x+36", "y^2=29*x^6+8*x^5+11*x^4+13*x^3+11*x^2+8*x+29", "y^2=4*x^6+x^5+15*x^4+60*x^3+4*x^2+25*x+3", "y^2=56*x^6+64*x^5+55*x^4+30*x^3+7*x^2+30*x+34", "y^2=64*x^6+43*x^5+22*x^4+36*x^3+28*x^2+x+10", "y^2=17*x^6+32*x^5+51*x^4+34*x^3+24*x^2+14*x+13", "y^2=33*x^6+33*x^4+33*x^2+33", "y^2=64*x^6+43*x^5+64*x^4+x^2+40*x+29", "y^2=10*x^6+28*x^5+43*x^4+37*x^3+43*x^2+28*x+10", "y^2=10*x^6+14*x^5+20*x^4+62*x^3+20*x^2+14*x+10", "y^2=2*x^6+26*x^5+17*x^4+10*x^3+17*x^2+26*x+2", "y^2=64*x^6+16*x^5+3*x^4+46*x^3+25*x^2+54*x+25", "y^2=12*x^6+51*x^4+48*x^3+23*x^2+61*x+26", "y^2=40*x^6+4*x^5+9*x^4+34*x^3+64*x^2+63*x+55", "y^2=9*x^6+34*x^4+34*x^2+9", "y^2=4*x^6+3*x^5+44*x^4+5*x^3+44*x^2+3*x+4", "y^2=25*x^6+31*x^5+18*x^4+70*x^3+4*x^2+46*x+62", "y^2=57*x^6+15*x^5+45*x^4+32*x^3+58*x^2+57*x+16", "y^2=40*x^6+15*x^5+8*x^4+41*x^3+48*x^2+38*x+59", "y^2=8*x^6+32*x^5+45*x^4+23*x^3+45*x^2+32*x+8", "y^2=47*x^6+65*x^5+31*x^4+14*x^3+42*x^2+69*x+51", "y^2=20*x^6+62*x^5+20*x^4+41*x^3+49*x^2+31*x+60", "y^2=23*x^6+11*x^5+38*x^4+20*x^3+34*x^2+61*x+27", "y^2=58*x^6+50*x^5+x^4+4*x^3+48*x^2+38*x+54", "y^2=24*x^6+17*x^5+14*x^4+9*x^3+14*x^2+17*x+24", "y^2=38*x^6+7*x^5+39*x^4+12*x^3+55*x^2+55*x+58", "y^2=61*x^6+57*x^5+23*x^4+44*x^3+23*x^2+57*x+61", "y^2=13*x^6+14*x^5+20*x^4+18*x^3+20*x^2+14*x+13", "y^2=6*x^6+x^5+9*x^4+12*x^3+9*x^2+x+6", "y^2=47*x^6+4*x^5+67*x^4+25*x^3+67*x^2+4*x+47", "y^2=7*x^6+35*x^5+68*x^4+12*x^3+68*x^2+35*x+7", "y^2=3*x^6+x^4+32*x^3+x^2+3", "y^2=41*x^6+45*x^5+55*x^4+64*x^3+55*x^2+45*x+41", "y^2=7*x^6+65*x^5+10*x^4+50*x^3+43*x^2+41*x+44", "y^2=32*x^6+55*x^5+42*x^4+61*x^3+42*x^2+55*x+32", "y^2=19*x^6+35*x^5+27*x^4+52*x^3+27*x^2+35*x+19", "y^2=23*x^6+64*x^5+56*x^4+61*x^3+37*x^2+x+60", "y^2=49*x^6+47*x^4+47*x^2+49", "y^2=60*x^6+40*x^4+40*x^2+60", "y^2=34*x^6+9*x^5+26*x^4+36*x^3+67*x^2+8*x+20"], "dim1_distinct": 1, "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, "g": 2, "galois_groups": ["2T1"], "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": 1, "geometric_galois_groups": ["2T1"], "geometric_number_fields": ["2.0.35.1"], "geometric_splitting_field": "2.0.35.1", "geometric_splitting_polynomials": [[9, -1, 1]], "has_geom_ss_factor": false, "has_jacobian": 1, "has_principal_polarization": 1, "hyp_count": 56, "is_geometrically_simple": false, "is_geometrically_squarefree": false, "is_primitive": true, "is_simple": false, "is_squarefree": false, "is_supersingular": false, "jacobian_count": 56, "label": "2.71.y_la", "max_divalg_dim": 1, "max_geom_divalg_dim": 1, "max_twist_degree": 6, "newton_coelevation": 2, "newton_elevation": 0, "number_fields": ["2.0.35.1"], "p": 71, "p_rank": 2, "p_rank_deficit": 0, "poly": [1, 24, 286, 1704, 5041], "poly_str": "1 24 286 1704 5041 ", "primitive_models": [], "q": 71, "real_poly": [1, 24, 144], "simple_distinct": ["1.71.m"], "simple_factors": ["1.71.mA", "1.71.mB"], "simple_multiplicities": [2], "slopes": ["0A", "0B", "1A", "1B"], "splitting_field": "2.0.35.1", "splitting_polynomials": [[9, -1, 1]], "twist_count": 6, "twists": [["2.71.ay_la", "2.5041.ae_oxy", 2], ["2.71.a_ac", "2.5041.ae_oxy", 2], ["2.71.am_cv", "2.357911.acls_dbtcg", 3], ["2.71.a_c", "2.25411681.bdvg_mvmieo", 4], ["2.71.m_cv", "2.128100283921.dlma_bgaiefrvy", 6]]}