Elliptic curve data - 1230.c3

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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': '1230c', 'Clabel': '1230c2', 'Cnumber': 2, 'abc_quality': 0.9272074898737906, 'absD': 24206400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4920, 'ainvs': [1, 0, 1, -329, 2252], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 1230, 'degree': 384, 'elladic_images': ['8.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.25507571044550883297978338823', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [3921141001609, 24206400], 'lmfdb_iso': '1230.c', 'lmfdb_label': '1230.c3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -329, 2252], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0-2.a.1.1', '20.12.0-2.a.1.1', '40.24.0-40.a.1.3', '492.12.0.?', '984.24.0.?', '2460.24.0.?', '4920.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0179052681902552287477975726', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 1], [3, 4, 205], [5, 6, 246], [41, 42, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.25507571044550883297978338823', 'prec': 103}, 'szpiro_ratio': 4.0756631693630645, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
• 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, 0, -1, 1, 1, -4, 1, 2, 0, -1, 1, -6, -1, 0, -1], 'aplist': [-1, 1, -1, 0, -4, 2, -6, 0, 0, -2, -8, -6, 1, 4, 4, -6, 0, -2, -4, -8, 2, 0, -4, -6, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 1230, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '1230.c', 'trace_hash': 740411736407266523}
• 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': '0.60040465812048982208271030894', 'prec': 103}, 'conductor': 1230, 'gens': [[3, 34, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0179052681902552287477975726', 'prec': 100}], 'lmfdb_label': '1230.c3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.1408376026924625462419797831', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1791698741204541575245458621976497701', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-21, 10, 1], [11, -6, 1]], 'xcoord_integral_points': [-21, 3, 6, 11, 20, 371]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [2, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1230.c3'}
• ec_torsion_growth •

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

  
  
  • id: 61002
    {'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 4]}
  • id: 61000
    {'degree': 4, 'field': [843, -66, 67, -2, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 4]}
  • id: 61001
    {'degree': 4, 'field': [1024, 0, -59, 0, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 4]}
  • id: 61003
    {'degree': 8, 'field': [-48, 0, 59, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 6]}
  • id: 61007
    {'degree': 16, 'field': [-11025, 50400, -51700, 13800, -20920, -17960, 51480, -15880, -20899, 10632, 3268, -2256, -170, 224, -12, -8, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 8]}
  • id: 61005
    {'degree': 16, 'field': [97344, 0, 339840, 0, 763680, 0, 333984, 0, 108916, 0, 7856, 0, -252, 0, -16, 0, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 8]}
  • id: 61006
    {'degree': 16, 'field': [285474816, 0, -45490176, 0, -12808128, 0, 2159472, 0, 143905, 0, -42352, 0, 3102, 0, -64, 0, 1], 'lmfdb_label': '1230.c3', 'torsion': [2, 8]}
  • id: 61004
    {'degree': 16, 'field': [864567591876, 31601841912, -215483887740, -4679696040, 23940357490, 268634040, -1536970582, -6964008, 62071773, 57180, -1610450, 720, 26184, -12, -244, 0, 1], 'lmfdb_label': '1230.c3', 'torsion': [4, 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: 18119
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1230.c3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 18120
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1230.c3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 18121
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1230.c3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 18122
    {'conductor': 1230, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1230.c3', 'prime': 41, 'reduction_type': 1, '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: 1672297
    {'adelic_gens': [[1, 0, 4, 1], [3937, 4, 2954, 9], [3693, 2, 4912, 4915], [1, 4, 0, 1], [4917, 4, 4916, 5], [2463, 2, 4918, 4919], [1441, 2, 0, 1], [3281, 2, 0, 1]], 'adelic_image': '4920.48.0.?', 'conductor': 1230, 'lmfdb_label': '1230.c3', 'prime': 0}
  • id: 5886
    {'conductor': 1230, 'elladic_image': '8.12.0.1', 'lmfdb_label': '1230.c3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 30551
    {'lmfdb_iso': '1230.c', 'p': 11, 'prec': 20, 'unit': 21025362178110117589, 'val': 1}
  • id: 30557
    {'lmfdb_iso': '1230.c', 'p': 13, 'prec': 20, 'unit': 7556824203406155009, 'val': 1}
  • id: 30559
    {'lmfdb_iso': '1230.c', 'p': 17, 'prec': 20, 'unit': 229952043961597228785973, 'val': 1}
  • id: 30556
    {'lmfdb_iso': '1230.c', 'p': 29, 'prec': 20, 'unit': 2321791211887274870258630012, 'val': 1}
  • id: 30564
    {'lmfdb_iso': '1230.c', 'p': 31, 'prec': 20, 'unit': 268760526579380398094092590, 'val': 1}
  • id: 30552
    {'lmfdb_iso': '1230.c', 'p': 37, 'prec': 20, 'unit': 69205842884216383642239835092, 'val': 1}
  • id: 30555
    {'lmfdb_iso': '1230.c', 'p': 43, 'prec': 20, 'unit': 6819966024351138970088479802409, 'val': 1}
  • id: 30558
    {'lmfdb_iso': '1230.c', 'p': 47, 'prec': 20, 'unit': 11987329488782561717418684678483, 'val': 1}
  • id: 30561
    {'lmfdb_iso': '1230.c', 'p': 53, 'prec': 20, 'unit': 182577817910570666926748006542021, 'val': 1}
  • id: 30563
    {'lmfdb_iso': '1230.c', 'p': 61, 'prec': 20, 'unit': 7964872664365330576872627880886925, 'val': 1}
  • id: 30560
    {'lmfdb_iso': '1230.c', 'p': 67, 'prec': 20, 'unit': 41510939192142477184704162082212122, 'val': 1}
  • id: 30553
    {'lmfdb_iso': '1230.c', 'p': 71, 'prec': 20, 'unit': 91417995325547974976710870234040286, 'val': 1}
  • id: 30554
    {'lmfdb_iso': '1230.c', 'p': 73, 'prec': 20, 'unit': 113155589475235732967020626142656112, 'val': 1}
  • id: 30550
    {'lmfdb_iso': '1230.c', 'p': 83, 'prec': 20, 'unit': 741054640063347992909004758754381390, 'val': 1}
  • id: 30562
    {'lmfdb_iso': '1230.c', 'p': 89, 'prec': 20, 'unit': 6311413787534044860374451465756947925, 'val': 1}
  • id: 30549
    {'lmfdb_iso': '1230.c', 'p': 97, 'prec': 20, 'unit': 3596420611246489778256537243211703027, 'val': 1}