Elliptic curve data - 58800.j2

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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': '58800fa', 'Clabel': '58800fa1', 'Cnumber': 1, 'abc_quality': 1.1169180726528216, 'absD': 2213683584000000, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 840, 'ainvs': [0, -1, 0, -20008, -2505488], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 58800, 'degree': 282240, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6323427002636494675803254943', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 9, 'isogeny_degrees': [1, 7], 'jinv': [-2401, 6], 'lmfdb_iso': '58800.j', 'lmfdb_label': '58800.j2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, -1], 'min_quad_twist_disc': 140, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '24.2.0.b.1', '140.48.0.?', '168.48.2.?', '840.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3675], [3, 4, 19600], [5, 14, 2352], [7, 26, 1200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1627968692168882325408547894', 'prec': 103}, 'szpiro_ratio': 3.915211547421753, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 0, 0, 0, 1, 0, -5, 0, 0, 0, 0, 0, 4, 0, -8, 0], 'aplist': [0, -1, 0, 0, -5, 0, 4, -8, -4, -5, -3, 4, 0, 2, -6, 9, 11, -6, -2, -2, -10, -3, -7, -6, -7], 'class_deg': 7, 'class_size': 2, 'conductor': 58800, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '58800.j', 'trace_hash': 1889359708463587787}
• 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': '0.038208953709743639016652831448', 'prec': 107}, 'conductor': 58800, 'gens': [], 'heights': [], 'lmfdb_label': '58800.j2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18695360577529448169694848608', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.37390721155058896339389697215685251948', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': 'a', '11': [0, 0], '13': [0, 0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '58800.j2'}
• ec_torsion_growth •

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

  
  
  • id: 2826375
    {'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '58800.j2', 'torsion': [2]}
  • id: 2826376
    {'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '58800.j2', 'torsion': [2, 2]}
  • id: 2826377
    {'degree': 6, 'field': [281, -64, 87, -14, 12, -2, 1], 'lmfdb_label': '58800.j2', 'torsion': [7]}
  • id: 2826378
    {'degree': 8, 'field': [-376, -1276, -1879, -976, -277, -82, 1, -2, 1], 'lmfdb_label': '58800.j2', 'torsion': [3]}
  • id: 2826379
    {'degree': 12, 'field': [-242019, -314787, -326556, -119747, 2333, 6348, 4176, 500, 345, -11, 4, -3, 1], 'lmfdb_label': '58800.j2', 'torsion': [4]}
  • id: 2826380
    {'degree': 14, 'field': [300596, 1765960, -90116, -55096, 122428, 38524, 10504, 188, 2480, 532, 134, 32, 20, -2, 1], 'lmfdb_label': '58800.j2', 'torsion': [7]}
  • id: 2826381
    {'degree': 18, 'field': [157464, -157464, -43740, -189540, 250776, 110808, -83079, -14760, 21936, -3392, -5886, 776, 316, 192, 105, -16, 28, -4, 1], 'lmfdb_label': '58800.j2', 'torsion': [14]}
• 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: 1414981
    {'conductor': 58800, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '58800.j2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1414982
    {'conductor': 58800, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '58800.j2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1414983
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '58800.j2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1414984
    {'conductor': 58800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '58800.j2', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 2054270
    {'adelic_gens': [[736, 175, 385, 666], [1, 14, 0, 1], [176, 175, 245, 666], [39, 760, 770, 559], [503, 0, 0, 839], [209, 490, 0, 839], [1, 0, 14, 1], [8, 5, 91, 57], [827, 14, 826, 15]], 'adelic_image': '840.96.2.?', 'conductor': 58800, 'lmfdb_label': '58800.j2', 'prime': 0}
  • id: 249063
    {'conductor': 58800, 'elladic_image': '7.24.0.2', 'lmfdb_label': '58800.j2', 'modell_image': '7B.6.3', 'prime': 7}
• lmfdb_iso 58800.j does not appear in ec_padic