Elliptic curve data - 76230.d3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '76230b', 'Clabel': '76230b3', 'Cnumber': 3, 'abc_quality': 0.9444576321958399, 'absD': 32890783367499750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 4620, 'ainvs': [1, -1, 0, -287700, 282320000], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76230, 'degree': 2488320, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4267348095586946859786106536', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-75526045083, 943250000], 'lmfdb_iso': '76230.d', 'lmfdb_label': '76230.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -264, 7920], 'min_quad_twist_disc': 33, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '33.8.0-3.a.1.1', '42.24.0-6.a.1.2', '60.24.0.s.1', '66.24.0-6.a.1.1', '420.48.0.?', '462.48.0.?', '660.48.0.?', '1540.6.0.?', '4620.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40382795665842714540120493693', 'prec': 103}, 'szpiro_ratio': 4.664830411248836, '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, 0, 1, -1, 0, -1, -1, 0, 1, 0, 0, -2, 1, 0, 1, -6, 0, 4, -1], 'aplist': [-1, 0, -1, -1, 0, -2, -6, 4, 6, 6, 2, 2, 12, -8, 12, -6, 12, 10, -4, -12, -2, 10, -18, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 76230, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '76230.d', 'trace_hash': 697374265230292473}
• 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': '0.0078012631263836210111506178941', 'prec': 110}, 'conductor': 76230, 'gens': [], 'heights': [], 'lmfdb_label': '76230.d3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17618923389995430085209003037', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4095138711996344068167202429840452765', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-800, 400, 1]], 'xcoord_integral_points': [-800]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a'}, 'iwp0': 5, 'lmfdb_label': '76230.d3'}
• ec_torsion_growth •

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

  
  
  • id: 3603157
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '76230.d3', 'torsion': [6]}
  • id: 3603156
    {'degree': 2, 'field': [58, -1, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 2]}
  • id: 3603158
    {'degree': 4, 'field': [-11, -14, 15, -2, 1], 'lmfdb_label': '76230.d3', 'torsion': [4]}
  • id: 3603159
    {'degree': 4, 'field': [100, 0, -13, 0, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 6]}
  • id: 3603160
    {'degree': 6, 'field': [176, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '76230.d3', 'torsion': [6]}
  • id: 3603163
    {'degree': 8, 'field': [-539, -770, -1403, 532, 484, -128, -11, -2, 1], 'lmfdb_label': '76230.d3', 'torsion': [12]}
  • id: 3603161
    {'degree': 8, 'field': [97344, 0, 2916, 0, 255, 0, 36, 0, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 4]}
  • id: 3603162
    {'degree': 8, 'field': [756900, 0, 8640, 0, 1749, 0, -6, 0, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 4]}
  • id: 3603164
    {'degree': 12, 'field': [31329, -1062, -2619, 6990, -2550, -1182, 493, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '76230.d3', 'torsion': [3, 6]}
  • id: 3603165
    {'degree': 12, 'field': [135657, -140706, 178065, -72570, 31290, 4974, -47, -1206, 90, 130, -15, -6, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 6]}
  • id: 3603167
    {'degree': 16, 'field': [3062500, 0, -1225000, 0, 312025, 0, -132160, 0, 40576, 0, -8410, 0, 1132, 0, -40, 0, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 12]}
  • id: 3603168
    {'degree': 16, 'field': [29872084, -30393044, 16459118, 7177494, -1333435, -610504, 1491238, -138084, -186638, 59502, 24742, -5036, -358, 324, -4, -4, 1], 'lmfdb_label': '76230.d3', 'torsion': [2, 12]}
  • id: 3603166
    {'degree': 16, 'field': [188606416, 2626768, 51678568, -147791928, 170849448, -113379092, 32349834, 5678466, -2708327, 894058, -213224, 18110, -2442, -294, 62, -8, 1], 'lmfdb_label': '76230.d3', 'torsion': [8]}
  • id: 3603169
    {'degree': 18, 'field': [-297352930209056, -25181760175584, 25211272020072, -7555091916, -123797921460, 149993822040, -44754718086, -4653132534, 1350717390, -107706775, 4720881, 8633562, -994860, -197484, 22920, 2076, -234, -9, 1], 'lmfdb_label': '76230.d3', '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: 1852921
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '76230.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1852922
    {'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '76230.d3', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1852923
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '76230.d3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1852924
    {'conductor': 76230, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '76230.d3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1852925
    {'conductor': 76230, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76230.d3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2167667
    {'adelic_gens': [[2510, 4617, 3387, 8], [4609, 12, 4608, 13], [4239, 2698, 1946, 401], [1528, 4609, 1575, 32], [1, 0, 12, 1], [1, 6, 6, 37], [3697, 12, 3702, 73], [11, 2, 4570, 4611], [1, 12, 0, 1], [1990, 3, 633, 4612]], 'adelic_image': '4620.96.1.?', 'conductor': 76230, 'lmfdb_label': '76230.d3', 'prime': 0}
  • id: 314904
    {'conductor': 76230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '76230.d3', 'modell_image': '2B', 'prime': 2}
  • id: 314905
    {'conductor': 76230, 'elladic_image': '3.4.0.1', 'lmfdb_label': '76230.d3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 76230.d does not appear in ec_padic