Elliptic curve data - 132300.cc2

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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': '132300dw', 'Clabel': '132300dw2', 'Cnumber': 2, 'abc_quality': 1.0461891924337403, 'absD': 4204290987303750000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 210, 'ainvs': [0, 0, 0, 327075, -67442375], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 132300, 'degree': 1492992, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2601420259476710644367605242', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 54, 'isogeny_degrees': [1, 3], 'jinv': [541416192, 588245], 'lmfdb_iso': '132300.cc', 'lmfdb_label': '132300.cc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 267, 1573], 'min_quad_twist_disc': -35, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '30.8.0.b.1', '42.8.0-3.a.1.1', '105.8.0.?', '210.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.0477072999943013037504069014', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 33075], [3, 8, 70], [5, 18, 5292], [7, 32, 2700]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20633618526206324997005840334', 'prec': 107}, 'szpiro_ratio': 4.215056822351134, '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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 3, 0, 1, 0], 'aplist': [0, 0, 0, 0, 0, -4, 3, 1, -3, -6, 1, 4, -6, 10, 0, -9, 6, 1, 10, 6, 2, -13, -9, 0, -10], 'class_deg': 3, 'class_size': 2, 'conductor': 132300, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '132300.cc', 'trace_hash': 111703507315332835}
• 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': '0.010885931059994423541838099005', 'prec': 107}, 'conductor': 132300, 'gens': [[1680, 72275, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.0477072999943013037504069014', 'prec': 100}], 'lmfdb_label': '132300.cc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.13317543965320545474904875264', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4686623911707631345086560421594884943', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': [1680]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': 'a', '11': [3, 3, 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, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '132300.cc2'}
• ec_torsion_growth •

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

  
  
  • id: 6004824
    {'degree': 2, 'field': [9, -1, 1], 'lmfdb_label': '132300.cc2', 'torsion': [3]}
  • id: 6004825
    {'degree': 3, 'field': [-1, 3, 0, 1], 'lmfdb_label': '132300.cc2', 'torsion': [2]}
  • id: 6004827
    {'degree': 6, 'field': [-2366, -16338, 2220, -25, -75, -3, 1], 'lmfdb_label': '132300.cc2', 'torsion': [3]}
  • id: 6004826
    {'degree': 6, 'field': [1, -3, 3, -1, 3, -3, 1], 'lmfdb_label': '132300.cc2', 'torsion': [2, 2]}
  • id: 6004828
    {'degree': 6, 'field': [15, -30, 36, -5, 12, 0, 1], 'lmfdb_label': '132300.cc2', 'torsion': [6]}
  • id: 6004829
    {'degree': 12, 'field': [-84605, 98190, 9024, 30784, 2388, 2892, 414, 666, -63, -2, 6, -6, 1], 'lmfdb_label': '132300.cc2', 'torsion': [4]}
  • id: 6004831
    {'degree': 12, 'field': [1225, -1470, -84, 469, 627, -645, 9, 93, 33, -17, -6, 0, 1], 'lmfdb_label': '132300.cc2', 'torsion': [2, 6]}
  • id: 6004830
    {'degree': 12, 'field': [386841, -1004094, 1024209, -55410, 66870, -50454, 22741, -5406, 1770, -290, 69, -6, 1], 'lmfdb_label': '132300.cc2', 'torsion': [3, 3]}
  • id: 6004833
    {'degree': 18, 'field': [1671579, -5766579, 61038252, -73743138, 24651135, -3411099, 1620684, 657153, -407592, 54525, -28368, 12213, -2184, -1089, 135, -18, 18, -9, 1], 'lmfdb_label': '132300.cc2', 'torsion': [6]}
  • id: 6004832
    {'degree': 18, 'field': [30397599, 22490838, 9582003, 10289838, 5272323, 1285746, 1885752, 242886, 160716, 134872, -24949, 22652, 2633, -1582, 1127, -190, 50, -4, 1], 'lmfdb_label': '132300.cc2', 'torsion': [9]}
• 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: 3263220
    {'conductor': 132300, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '132300.cc2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 3263221
    {'conductor': 132300, 'conductor_valuation': 3, 'discriminant_valuation': 5, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '132300.cc2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 3263222
    {'conductor': 132300, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '132300.cc2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3263223
    {'conductor': 132300, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '132300.cc2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 2525168
    {'adelic_gens': [[1, 0, 6, 1], [4, 3, 9, 7], [3, 4, 8, 11], [179, 0, 0, 209], [83, 84, 189, 41], [1, 6, 0, 1], [205, 6, 204, 7], [36, 91, 133, 204]], 'adelic_image': '210.16.0.?', 'conductor': 132300, 'lmfdb_label': '132300.cc2', 'prime': 0}
  • id: 514117
    {'conductor': 132300, 'elladic_image': '3.4.0.1', 'lmfdb_label': '132300.cc2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 132300.cc does not appear in ec_padic