Elliptic curve data - 13200.e1

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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': '13200p', 'Clabel': '13200p1', 'Cnumber': 1, 'abc_quality': 1.0389716890677798, 'absD': 1380837552454800000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 132, 'ainvs': [0, -1, 0, -19222208, -32480747088], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 13200, 'degree': 739200, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9497620416411059565159461255', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [-1963692857508260740, 3452093881137], 'lmfdb_iso': '13200.e', 'lmfdb_label': '13200.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -768888, 260153532], 'min_quad_twist_disc': -20, 'modell_images': [], 'modm_images': ['132.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.9697527356323398776136059641', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 825], [3, 4, 4400], [5, 14, 528], [7, 2, 1200], [11, 12, 400]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2991807828850846156010798021', 'prec': 100}, 'szpiro_ratio': 6.527355480426142, '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, -3, 0, 1, 0, 1, 0, 4, 0, 0, 0, -1, 0, -7, 0], 'aplist': [0, -1, 0, -3, 1, 4, -1, -7, 1, -2, -2, 3, 5, 4, 3, 0, -1, 8, 0, -3, 8, 1, 6, -12, 7], 'class_deg': 1, 'class_size': 1, 'conductor': 13200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '13200.e', 'trace_hash': 243088726949673288}
• 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': '0.0027407488766419368167291815066', 'prec': 110}, 'conductor': 13200, 'gens': [[127246, 45363142, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '6.9697527356323398776136059641', 'prec': 100}], 'lmfdb_label': '13200.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.036047319975156521886817866691', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5173726981268604172517521763209862824', 'prec': 130}, 'tamagawa_product': 14, 'torsion_generators': [], 'xcoord_integral_points': [127246]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '5': 'a', '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '13200.e1'}
• ec_torsion_growth •

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

  
  
  • id: 679364
    {'degree': 3, 'field': [12, 12, -1, 1], 'lmfdb_label': '13200.e1', 'torsion': [2]}
  • id: 679365
    {'degree': 6, 'field': [528, 0, -8, 0, 1, 0, 1], 'lmfdb_label': '13200.e1', 'torsion': [2, 2]}
  • id: 679366
    {'degree': 8, 'field': [-3, 0, -1928, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '13200.e1', 'torsion': [3]}
  • id: 679367
    {'degree': 12, 'field': [-198, 1188, -2885, 3535, -2043, 30, 699, -423, 111, -18, 9, -5, 1], 'lmfdb_label': '13200.e1', '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: 286904
    {'conductor': 13200, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '13200.e1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 286905
    {'conductor': 13200, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '13200.e1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 286906
    {'conductor': 13200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '13200.e1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 286907
    {'conductor': 13200, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '13200.e1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• 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], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [131, 2, 130, 3], [13, 2, 13, 3], [1, 1, 131, 0]], 'adelic_image': '132.2.0.?', 'conductor': 13200, 'lmfdb_label': '13200.e1', 'prime': 0}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 580686
    {'lmfdb_iso': '13200.e', 'p': 7, 'prec': 20, 'unit': 7127605416526577, 'val': 0}
  • id: 580690
    {'lmfdb_iso': '13200.e', 'p': 13, 'prec': 20, 'unit': 663722955492927091869, 'val': 1}
  • id: 580692
    {'lmfdb_iso': '13200.e', 'p': 17, 'prec': 20, 'unit': 216248666762403761269932, 'val': 1}
  • id: 580693
    {'lmfdb_iso': '13200.e', 'p': 19, 'prec': 20, 'unit': 211910076424001277010400, 'val': 1}
  • id: 580695
    {'lmfdb_iso': '13200.e', 'p': 23, 'prec': 20, 'unit': 400154121664770174789036824, 'val': 0}
  • id: 580689
    {'lmfdb_iso': '13200.e', 'p': 29, 'prec': 20, 'unit': 3350057934528323822074598263, 'val': 1}
  • id: 580700
    {'lmfdb_iso': '13200.e', 'p': 31, 'prec': 20, 'unit': 18093057710033656255830823836, 'val': 1}
  • id: 580685
    {'lmfdb_iso': '13200.e', 'p': 37, 'prec': 20, 'unit': 64067323812980050998014415910, 'val': 1}
  • id: 580687
    {'lmfdb_iso': '13200.e', 'p': 41, 'prec': 20, 'unit': 3659251727589016692213414578005, 'val': 1}
  • id: 580688
    {'lmfdb_iso': '13200.e', 'p': 43, 'prec': 20, 'unit': 6251856521289666185447122433639, 'val': 1}
  • id: 580698
    {'lmfdb_iso': '13200.e', 'p': 47, 'prec': 20, 'unit': 20326361825042334121194370093443, 'val': 1}
  • id: 580684
    {'lmfdb_iso': '13200.e', 'p': 59, 'prec': 20, 'unit': 492909440804256909339559991645587, 'val': 1}
  • id: 580699
    {'lmfdb_iso': '13200.e', 'p': 61, 'prec': 20, 'unit': 7915925955314859519919489802080538, 'val': 1}
  • id: 580697
    {'lmfdb_iso': '13200.e', 'p': 71, 'prec': 20, 'unit': 63731198631180453991978691363914061, 'val': 1}
  • id: 580694
    {'lmfdb_iso': '13200.e', 'p': 73, 'prec': 20, 'unit': 29756127657160352878954614611385448, 'val': 1}
  • id: 580691
    {'lmfdb_iso': '13200.e', 'p': 79, 'prec': 20, 'unit': 21915274295234753777127153255127096851, 'val': -1}
  • id: 580683
    {'lmfdb_iso': '13200.e', 'p': 83, 'prec': 20, 'unit': 1149132994704800429983024902036767361, 'val': 1}
  • id: 580696
    {'lmfdb_iso': '13200.e', 'p': 89, 'prec': 20, 'unit': 9105736503718798086296253341895327066, 'val': 1}
  • id: 580682
    {'lmfdb_iso': '13200.e', 'p': 97, 'prec': 20, 'unit': 32740564174421052198992805592751486039, 'val': 1}