Elliptic curve data - 134310.n1

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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': '134310cz', 'Clabel': '134310cz1', 'Cnumber': 1, 'abc_quality': 0.9526141316460961, 'absD': 3874578535163519631360, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 740, 'ainvs': [1, 1, 0, 3315882, 1890215892], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 134310, 'degree': 13381632, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8294850724514211229483537941', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [155451120763631, 149381775360], 'lmfdb_iso': '134310.n', 'lmfdb_label': '134310.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 27404, -1407691], 'min_quad_twist_disc': -11, 'modell_images': [], 'modm_images': ['740.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.6672505312247817363099595673', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.83123901178611233623006747913', 'prec': 103}, 'szpiro_ratio': 4.798167088928725, '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, -1, 1, -1, 1, 5, -1, 1, 1, 0, -1, 1, -5, 1, 1, -2, -1, -1, -1], 'aplist': [-1, -1, -1, 5, 0, 1, -2, -1, 2, 6, -3, 1, 9, 6, -13, -12, -7, -4, -9, -10, 2, 5, -4, 16, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 134310, 'isogeny_matrix': [[1]], 'lmfdb_iso': '134310.n', 'trace_hash': 206947668914938949}
• 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': '0.0034861052334057206248905760778', 'prec': 110}, 'conductor': 134310, 'gens': [[-477, 14391, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.6672505312247817363099595673', 'prec': 100}], 'lmfdb_label': '134310.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.091581227932831991085633632234', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1291904166367351618762117678270236938', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [-477]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [11, 0], '3': [3, 0], '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [2, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '134310.n1'}
• ec_torsion_growth •

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

  
  
  • id: 6087683
    {'degree': 3, 'field': [-174, 4, -1, 1], 'lmfdb_label': '134310.n1', 'torsion': [2]}
  • id: 6087684
    {'degree': 6, 'field': [59940, 0, 7956, 0, 113, 0, 1], 'lmfdb_label': '134310.n1', 'torsion': [2, 2]}
  • id: 6087685
    {'degree': 8, 'field': [-363, 0, -1496, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '134310.n1', 'torsion': [3]}
  • id: 6087686
    {'degree': 12, 'field': [-9503288625, 4296171700, -783414280, 149339300, -3147089, -545776, 158752, -78848, -6655, 3388, -88, -4, 1], 'lmfdb_label': '134310.n1', '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: 3313316
    {'conductor': 134310, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '134310.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3313317
    {'conductor': 134310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '134310.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3313318
    {'conductor': 134310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '134310.n1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3313319
    {'conductor': 134310, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '134310.n1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3313320
    {'conductor': 134310, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '134310.n1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• 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': [[739, 2, 738, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 739, 0], [297, 2, 297, 3], [261, 2, 261, 3], [371, 2, 371, 3]], 'adelic_image': '740.2.0.?', 'conductor': 134310, 'lmfdb_label': '134310.n1', 'prime': 0}
• lmfdb_iso 134310.n does not appear in ec_padic