Elliptic curve data - 73920.eo5

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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
  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
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '73920gg', 'Clabel': '73920gg2', 'Cnumber': 2, 'abc_quality': 0.9765179895036278, 'absD': 70815596544000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [0, 1, 0, -1008161, -389747361], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 73920, 'degree': 884736, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1751219345184066696843524444', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 118, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [432288716775559561, 270140062500], 'lmfdb_iso': '73920.eo', 'lmfdb_label': '73920.eo5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -15753, 759256], 'min_quad_twist_disc': -8, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0-6.a.1.6', '24.96.0-24.o.2.18', '88.12.0.?', '132.96.0.?', '264.192.1.?', '280.12.0.?', '420.96.0.?', '840.192.1.?', '1540.12.0.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.6659548944357575011725540435', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 4928], [5, 6, 14784], [7, 8, 10560], [11, 12, 6720]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1354011636784887055585042622', 'prec': 100}, 'szpiro_ratio': 4.735149103597227, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 1, 0, -1, 0, -1, 0, 1, 0, -1, 0, -2, 0, -1, 0, 6, 0, -4, 0], 'aplist': [0, 1, -1, -1, -1, -2, 6, -4, 0, -6, 4, -2, 6, -4, 0, -6, 0, -2, -4, 0, 2, -8, 12, 6, 2], 'class_deg': 12, 'class_size': 8, 'conductor': 73920, 'isogeny_matrix': [[1, 3, 2, 4, 6, 12, 12, 4], [3, 1, 6, 12, 2, 4, 4, 12], [2, 6, 1, 2, 3, 6, 6, 2], [4, 12, 2, 1, 6, 12, 3, 4], [6, 2, 3, 6, 1, 2, 2, 6], [12, 4, 6, 12, 2, 1, 4, 3], [12, 4, 6, 3, 2, 4, 1, 12], [4, 12, 2, 4, 6, 3, 12, 1]], 'lmfdb_iso': '73920.eo', 'trace_hash': 1881017512194701199}
• 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': '0.012903665392294010222013001652', 'prec': 107}, 'conductor': 73920, 'gens': [[-575, 408, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.6659548944357575011725540435', 'prec': 100}], 'lmfdb_label': '73920.eo5', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.15067227147542292867603339137', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.6282930128529583033660864752774995782', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-569, 0, 1], [1159, 0, 1]], 'xcoord_integral_points': [-591, -575, -569, 1159, 5767]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '73920.eo5'}
• ec_torsion_growth •

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

  
  
  • id: 3500718
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 6]}
  • id: 3500720
    {'degree': 4, 'field': [144, 0, 46, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 4]}
  • id: 3500719
    {'degree': 4, 'field': [484, 0, 22, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 4]}
  • id: 3500721
    {'degree': 4, 'field': [1225, 0, -140, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 4]}
  • id: 3500722
    {'degree': 6, 'field': [-6936, 0, 412, 0, -2, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 6]}
  • id: 3500725
    {'degree': 8, 'field': [9, -30, 67, -98, 98, -2, -7, -2, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 12]}
  • id: 3500724
    {'degree': 8, 'field': [2409, -2532, 3112, -1204, 713, -136, 50, -4, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 12]}
  • id: 3500723
    {'degree': 8, 'field': [7396, 0, -188, 0, 533, 0, -38, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 12]}
  • id: 3500726
    {'degree': 12, 'field': [954675, 580500, 304404, 29520, 31195, 2328, 2768, -1200, 225, -12, -4, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [6, 6]}
  • id: 3500727
    {'degree': 16, 'field': [1679616, 0, 0, 0, -592272, 0, 0, 0, 207553, 0, 0, 0, -457, 0, 0, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [4, 4]}
  • id: 3500729
    {'degree': 16, 'field': [23253616, 4848512, 1357600, -6714544, -7563337, 3849176, 13988814, -12774076, 2780480, 303028, -87912, 14416, -1978, -224, 52, -8, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 8]}
  • id: 3500730
    {'degree': 16, 'field': [53670276, 0, -1081930608, 0, 1353160620, 0, 85059072, 0, -12541851, 0, -791532, 0, -3360, 0, 228, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 8]}
  • id: 3500728
    {'degree': 16, 'field': [4981984705296, 0, 294093063360, 0, 5602331952, 0, 158423040, 0, 9708588, 0, 368640, 0, 9132, 0, 120, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 8]}
  • id: 3500731
    {'degree': 18, 'field': [143648, 0, 15772032432, 0, 18130914360, 0, 3658293732, 0, 229774032, 0, 8801424, 0, 146886, 0, 7920, 0, 126, 0, 1], 'lmfdb_label': '73920.eo5', 'torsion': [2, 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: 1794785
    {'conductor': 73920, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '73920.eo5', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1794786
    {'conductor': 73920, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '73920.eo5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1794787
    {'conductor': 73920, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '73920.eo5', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1794788
    {'conductor': 73920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '73920.eo5', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1794789
    {'conductor': 73920, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '73920.eo5', 'prime': 11, 'reduction_type': -1, '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: 2152356
    {'adelic_gens': [[2303, 9228, 4686, 113], [9, 4, 9224, 9233], [1, 0, 12, 1], [9229, 12, 9228, 13], [3081, 4, 7702, 9], [8407, 6, 3354, 9235], [3697, 6, 0, 1], [1, 12, 0, 1], [4619, 9228, 9234, 9167], [5281, 6, 0, 1]], 'adelic_image': '9240.384.5.?', 'conductor': 73920, 'lmfdb_label': '73920.eo5', 'prime': 0}
  • id: 305977
    {'conductor': 73920, 'elladic_image': '2.6.0.1', 'lmfdb_label': '73920.eo5', 'modell_image': '2Cs', 'prime': 2}
  • id: 305978
    {'conductor': 73920, 'elladic_image': '3.4.0.1', 'lmfdb_label': '73920.eo5', 'modell_image': '3B', 'prime': 3}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 3798134
    {'lmfdb_iso': '73920.eo', 'p': 13, 'prec': 20, 'unit': 1218976796064437770775, 'val': 1}
  • id: 3798136
    {'lmfdb_iso': '73920.eo', 'p': 17, 'prec': 20, 'unit': 172924744463550915755392, 'val': 1}
  • id: 3798127
    {'lmfdb_iso': '73920.eo', 'p': 19, 'prec': 20, 'unit': 1937782528806430011525038, 'val': 1}
  • id: 3798133
    {'lmfdb_iso': '73920.eo', 'p': 29, 'prec': 20, 'unit': 2935134630654535840858676164, 'val': 1}
  • id: 3798142
    {'lmfdb_iso': '73920.eo', 'p': 31, 'prec': 20, 'unit': 15761442814686362383789904603, 'val': 1}
  • id: 3798130
    {'lmfdb_iso': '73920.eo', 'p': 37, 'prec': 20, 'unit': 294385455056906844972207727110, 'val': 1}
  • id: 3798131
    {'lmfdb_iso': '73920.eo', 'p': 41, 'prec': 20, 'unit': 4149166241398331954972603508629, 'val': 1}
  • id: 3798132
    {'lmfdb_iso': '73920.eo', 'p': 43, 'prec': 20, 'unit': 1646100120084777220221306718214, 'val': 1}
  • id: 3798138
    {'lmfdb_iso': '73920.eo', 'p': 53, 'prec': 20, 'unit': 385528986247244997853440752307934, 'val': 1}
  • id: 3798141
    {'lmfdb_iso': '73920.eo', 'p': 61, 'prec': 20, 'unit': 2253417531316890465957046960375728, 'val': 1}
  • id: 3798129
    {'lmfdb_iso': '73920.eo', 'p': 67, 'prec': 20, 'unit': 7002721821561102282105155384265761, 'val': 1}
  • id: 3798139
    {'lmfdb_iso': '73920.eo', 'p': 73, 'prec': 20, 'unit': 115865846401630250114569163453952904, 'val': 1}
  • id: 3798135
    {'lmfdb_iso': '73920.eo', 'p': 79, 'prec': 20, 'unit': 437251361357223223277605137568521091, 'val': 1}
  • id: 3798137
    {'lmfdb_iso': '73920.eo', 'p': 83, 'prec': 20, 'unit': 1689432910224571344478863845471174850, 'val': 1}
  • id: 3798140
    {'lmfdb_iso': '73920.eo', 'p': 89, 'prec': 20, 'unit': 9344993165006575794088582998616225288, 'val': 1}
  • id: 3798128
    {'lmfdb_iso': '73920.eo', 'p': 97, 'prec': 20, 'unit': 34836310501438959473022746756128074079, 'val': 1}