Elliptic curve data - 4698.h1

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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': '4698g', 'Clabel': '4698g1', 'Cnumber': 1, 'abc_quality': 0.8977395651971495, 'absD': 219189888, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 232, 'ainvs': [1, -1, 0, -771, 8405], 'analytic_rank': 0, 'bad_primes': [2, 3, 29], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4698, 'degree': 2520, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45380821389786514612835940464', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [858995937, 3712], 'lmfdb_iso': '4698.h', 'lmfdb_label': '4698.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -771, 8405], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['232.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2349], [3, 4, 58], [7, 2, 2349], [29, 30, 162]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.46170202665889293003434495946', 'prec': 107}, 'szpiro_ratio': 3.7324423564523435, '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, -1, 0, 1, 2, 0, 3, -1, 0, -2, -1, 0, -6, -3, 0, 1, 4, 0, 1, 2], 'aplist': [-1, 0, 2, 3, -1, -6, 4, 1, 0, -1, -4, 6, 6, -9, 4, 6, 2, 1, 14, 13, 8, 10, 12, 8, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 4698, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4698.h', 'trace_hash': 353450256157777955}
• 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': '0.40348481394850560539210745770', 'prec': 103}, 'conductor': 4698, 'gens': [], 'heights': [], 'lmfdb_label': '4698.h1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.7810032535675679655604407333', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7810032535675679655604407332958576442', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [2, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '4698.h1'}
• ec_torsion_growth •

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

  
  
  • id: 244303
    {'degree': 3, 'field': [-26, -21, 0, 1], 'lmfdb_label': '4698.h1', 'torsion': [2]}
  • id: 244304
    {'degree': 6, 'field': [-928, 0, 900, 0, -60, 0, 1], 'lmfdb_label': '4698.h1', 'torsion': [2, 2]}
  • id: 244305
    {'degree': 8, 'field': [-48, 0, -52, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '4698.h1', 'torsion': [3]}
  • id: 244306
    {'degree': 12, 'field': [52200, 0, 166428, 0, 1692, 0, -5004, 0, -1674, 0, -81, 0, 1], 'lmfdb_label': '4698.h1', 'torsion': [4]}
• 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: 89849
    {'conductor': 4698, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '4698.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 89850
    {'conductor': 4698, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '4698.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 89851
    {'conductor': 4698, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4698.h1', 'prime': 29, 'reduction_type': -1, '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

  
  {'adelic_gens': [[89, 2, 89, 3], [175, 2, 0, 1], [1, 2, 0, 1], [1, 1, 231, 0], [1, 0, 2, 1], [117, 2, 117, 3], [231, 2, 230, 3]], 'adelic_image': '232.2.0.?', 'conductor': 4698, 'lmfdb_label': '4698.h1', 'prime': 0}
• lmfdb_iso 4698.h does not appear in ec_padic