Elliptic curve data - 41070.bh4

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  intrinsic_torsion	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '41070bl', 'Clabel': '41070bl5', 'Cnumber': 5, 'abc_quality': 1.0501740895315954, 'absD': 86593266303750, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 4440, 'ainvs': [1, 0, 0, -394985, 95513475], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 41070, 'degree': 414720, 'elladic_images': ['4.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8203187972044090567756675386', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'intrinsic_torsion': 2, 'iso_nlabel': 33, 'isogeny_degrees': [1, 2, 3, 4, 6, 12], 'jinv': [2656166199049, 33750], 'lmfdb_iso': '41070.bh', 'lmfdb_label': '41070.bh4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -289, 1862], 'min_quad_twist_disc': 37, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.c.1', '6.12.0.a.1', '12.48.0.c.4', '24.96.1.da.3', '40.12.0.bb.1', '111.8.0.?', '120.192.5.?', '222.24.0.?', '296.12.0.?', '444.96.0.?', '888.192.1.?', '1480.24.0.?', '4440.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 4107], [3, 4, 13690], [5, 6, 8214], [37, 686, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.014859840882296834591619703085', 'prec': 107}, 'szpiro_ratio': 4.7324913155218065, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, 1, 1, 1, 1, -4, 1, 1, 1, 0, 1, -2, -4, 1, 1, -6, 1, 4, 1], 'aplist': [1, 1, 1, -4, 0, -2, -6, 4, 0, 6, -8, 0, -6, 4, 0, -6, 0, 10, -4, 0, 2, -8, 12, -18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 41070, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '41070.bh', 'trace_hash': 1032201517248935538}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.026235610952961617506699325449', 'prec': 107}, 'conductor': 41070, 'gens': [], 'heights': [], 'lmfdb_label': '41070.bh4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55105689931925723760123657625', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3063413959155434256074194575157459624', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [[1455, -1455, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [5, 0], '5': [1, 0], '37': 'a'}, 'iwp0': 5, 'lmfdb_label': '41070.bh4'}
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 2021135
    {'degree': 2, 'field': [-111, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [4]}
  • id: 2021134
    {'degree': 2, 'field': [-74, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [4]}
  • id: 2021136
    {'degree': 2, 'field': [-9, -1, 1], 'lmfdb_label': '41070.bh4', 'torsion': [6]}
  • id: 2021133
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 2]}
  • id: 2021138
    {'degree': 4, 'field': [3, 30, -29, -2, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 6]}
  • id: 2021140
    {'degree': 4, 'field': [33, 24, -23, -2, 1], 'lmfdb_label': '41070.bh4', 'torsion': [12]}
  • id: 2021139
    {'degree': 4, 'field': [47, 22, -21, -2, 1], 'lmfdb_label': '41070.bh4', 'torsion': [12]}
  • id: 2021137
    {'degree': 4, 'field': [289, 0, -40, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 4]}
  • id: 2021141
    {'degree': 6, 'field': [3810, -1230, 340, 69, 13, -3, 1], 'lmfdb_label': '41070.bh4', 'torsion': [6]}
  • id: 2021143
    {'degree': 8, 'field': [1436, 31760, -23800, -960, 2688, -40, -100, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [8]}
  • id: 2021145
    {'degree': 8, 'field': [1825, 2380, -1808, -1100, 441, 128, -38, -4, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 12]}
  • id: 2021144
    {'degree': 8, 'field': [70225, 0, 8945, 0, 1296, 0, 17, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [8]}
  • id: 2021142
    {'degree': 8, 'field': [157900, 26064, 28712, 960, 1944, -24, 68, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 4]}
  • id: 2021146
    {'degree': 12, 'field': [617796, 0, -428700, 0, 117388, 0, -15985, 0, 1263, 0, -55, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [3, 6]}
  • id: 2021149
    {'degree': 12, 'field': [14516100, 0, -1077900, 0, 384400, 0, -4319, 0, 1263, 0, -17, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [12]}
  • id: 2021148
    {'degree': 12, 'field': [39538944, 0, -13718400, 0, 1878208, 0, -127880, 0, 5052, 0, -110, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [12]}
  • id: 2021147
    {'degree': 12, 'field': [39538944, 0, 13718400, 0, 1878208, 0, 127880, 0, 5052, 0, 110, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 6]}
  • id: 2021154
    {'degree': 16, 'field': [-189801, 498096, 2161836, -2820744, -4158572, 4858680, 1194408, -1972552, -27631, 303656, -18676, -21088, 1998, 672, -76, -8, 1], 'lmfdb_label': '41070.bh4', 'torsion': [24]}
  • id: 2021153
    {'degree': 16, 'field': [52114275, 35602560, -21559572, -25045272, 5363088, 7393848, -588072, -1376616, 70069, 158824, -8876, -11216, 838, 448, -44, -8, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 12]}
  • id: 2021155
    {'degree': 16, 'field': [110293341, 85881834, -32643756, -46473162, 4628806, 11198944, -591886, -1593582, 83815, 147596, -9494, -9118, 706, 366, -34, -8, 1], 'lmfdb_label': '41070.bh4', 'torsion': [24]}
  • id: 2021150
    {'degree': 16, 'field': [111724900, -66971520, 20072448, 11678784, -3600404, 1651536, 267264, 88512, 92349, 22008, 288, -1296, 154, -24, 0, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [4, 4]}
  • id: 2021152
    {'degree': 16, 'field': [190026225, 0, -1284726720, 0, 631359676, 0, -118999872, 0, 10977654, 0, -540736, 0, 14364, 0, -192, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 8]}
  • id: 2021151
    {'degree': 16, 'field': [23228808100, 0, 1079807520, 0, 161857276, 0, 6451212, 0, 595869, 0, 26646, 0, 1399, 0, 42, 0, 1], 'lmfdb_label': '41070.bh4', 'torsion': [2, 8]}
  • id: 2021156
    {'degree': 18, 'field': [-112958253, -42088572, 262555128, 154944615, -130879881, -78340716, 39273236, 17102001, -7506516, -2058623, 907317, 154557, -69219, -7623, 3249, 230, -87, -3, 1], 'lmfdb_label': '41070.bh4', 'torsion': [18]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 974434
    {'conductor': 41070, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '41070.bh4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 974435
    {'conductor': 41070, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '41070.bh4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 974436
    {'conductor': 41070, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '41070.bh4', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 974437
    {'conductor': 41070, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '41070.bh4', 'prime': 37, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1938267
    {'adelic_gens': [[2776, 3441, 1295, 3146], [1, 12, 12, 145], [15, 106, 3134, 4091], [2406, 1369, 3515, 4256], [4417, 24, 4416, 25], [1777, 2664, 444, 889], [479, 0, 0, 4439], [1, 24, 0, 1], [334, 1443, 2775, 2554], [1, 0, 24, 1]], 'adelic_image': '4440.384.5.?', 'conductor': 41070, 'lmfdb_label': '41070.bh4', 'prime': 0}
  • id: 179999
    {'conductor': 41070, 'elladic_image': '4.6.0.1', 'lmfdb_label': '41070.bh4', 'modell_image': '2B', 'prime': 2}
  • id: 180000
    {'conductor': 41070, 'elladic_image': '3.4.0.1', 'lmfdb_label': '41070.bh4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 41070.bh does not appear in ec_padic