Elliptic curve data - 293046.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
  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': '293046n', 'Clabel': '293046n1', 'Cnumber': 1, 'abc_quality': 1.0688915828638212, 'absD': 6799378166113982244913491738624, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 156, 'ainvs': [1, 1, 0, -15561864087, -736605420884523], 'analytic_rank': 1, 'bad_primes': [2, 3, 13, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 293046, 'degree': 880927488, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.7154374832266289113058133230', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [298779371619116129414560801, 4874288601508740071424], 'lmfdb_iso': '293046.n', 'lmfdb_label': '293046.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -92082036, -335313259083], 'min_quad_twist_disc': 13, 'modell_images': [], 'modm_images': ['156.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '118.76449734534956113918117746', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 146523], [3, 4, 97682], [13, 98, 1734], [17, 66, 169]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9607605804864911965708138326', 'prec': 100}, 'szpiro_ratio': 6.515516165521902, '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, 3, -1, 1, -1, 2, -1, 0, -3, -1, 1, 0, -1, -7, 1], 'aplist': [-1, -1, 1, 3, 2, 0, 0, -7, 9, 4, 8, 4, -2, -6, -6, 6, -6, -11, 9, 0, -8, -10, -4, 6, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 293046, 'isogeny_matrix': [[1]], 'lmfdb_iso': '293046.n', 'trace_hash': 821869988485157904}
• 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': '0.000080208989050133359036798035855', 'prec': 117}, 'conductor': 293046, 'gens': [[-23146721687107063383334042658264012055766473142139043746, 19164665310786625769828534483201257711924983011246520722945216345774988277182641953, 18026241082738014744528465]], 'heights': [{'__RealLiteral__': 0, 'data': '118.76449734534956113918117746', 'prec': 100}], 'lmfdb_label': '293046.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.013530495916410141555428515325', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4277701853830213370279627099536678374', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 293046.n1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 12437683
    {'degree': 3, 'field': [-68, -51, 0, 1], 'lmfdb_label': '293046.n1', 'torsion': [2]}
  • id: 12437684
    {'degree': 6, 'field': [-2496, 0, 640, 0, -47, 0, 1], 'lmfdb_label': '293046.n1', 'torsion': [2, 2]}
  • id: 12437685
    {'degree': 8, 'field': [13269, -895308, 192608, -34992, 5334, -356, -12, 0, 1], 'lmfdb_label': '293046.n1', 'torsion': [3]}
  • id: 12437686
    {'degree': 12, 'field': [5186376, -3759912, -410328, 372428, -311520, 55236, -11421, -447, -90, -189, 18, -3, 1], 'lmfdb_label': '293046.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: 7263636
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 34, 'j_denominator_valuation': 34, 'kodaira_symbol': 38, 'lmfdb_label': '293046.n1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263637
    {'conductor': 293046, 'conductor_valuation': 1, 'discriminant_valuation': 17, 'j_denominator_valuation': 17, 'kodaira_symbol': 21, 'lmfdb_label': '293046.n1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7263638
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '293046.n1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7263639
    {'conductor': 293046, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '293046.n1', 'prime': 17, '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

  
  {'adelic_gens': [[155, 2, 154, 3], [1, 2, 0, 1], [1, 0, 2, 1], [53, 2, 53, 3], [1, 1, 155, 0], [145, 2, 145, 3], [79, 2, 79, 3]], 'adelic_image': '156.2.0.?', 'conductor': 293046, 'lmfdb_label': '293046.n1', 'prime': 0}
• lmfdb_iso 293046.n does not appear in ec_padic