Elliptic curve data - 20449.g1

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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': '20449d', 'Clabel': '20449d2', 'Cnumber': 2, 'abc_quality': 0.9461121308337243, 'absD': 125194994500928209, 'adelic_genus': 16, 'adelic_index': 480, 'adelic_level': 1144, 'ainvs': [1, 1, 0, -51548, 17588069], 'analytic_rank': 0, 'bad_primes': [11, 13], 'class_deg': 11, 'class_size': 2, 'cm': 0, 'conductor': 20449, 'degree': 154440, 'elladic_images': ['4.2.0.1', '11.60.1.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9634614770142745506727760519', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 11, 'iso_nlabel': 6, 'isogeny_degrees': [1, 11], 'jinv': [-121, 1], 'lmfdb_iso': '20449.g', 'lmfdb_label': '20449.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -2, -7], 'min_quad_twist_disc': -143, 'modell_images': ['11B.10.4'], 'modm_images': ['4.2.0.a.1', '11.60.1.b.1', '44.120.6.b.1', '88.240.16.?', '143.120.1.?', '572.240.6.?', '1144.480.16.?'], 'nonmax_primes': [2, 11], 'nonmax_rad': 22, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': True, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3172592623818026040722539839', 'prec': 103}, 'szpiro_ratio': 4.724210870740511, '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, 2, -1, -1, 2, -2, -3, 1, -1, 0, -2, 0, -2, -2, -1, 5, 1, 6, 1], 'aplist': [1, 2, -1, -2, 0, 0, 5, 6, 2, -9, 2, 3, -5, 0, -2, 9, -8, -6, -2, -12, -2, 10, 6, 9, 13], 'class_deg': 11, 'class_size': 2, 'conductor': 20449, 'isogeny_matrix': [[1, 11], [11, 1]], 'lmfdb_iso': '20449.g', 'trace_hash': 2288264704084640816}
• 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': '0.019704210127243369976965847648', 'prec': 107}, 'conductor': 20449, 'gens': [], 'heights': [], 'lmfdb_label': '20449.g1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28284020497023211244368827531', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5455618447320890119931944777519764404', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': [2, 0], '5': [0, 0], '7': [0, 0], '11': 'a', '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '20449.g1'}
• ec_torsion_growth •

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

  
  
  • id: 1044681
    {'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '20449.g1', 'torsion': [2]}
  • id: 1044682
    {'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '20449.g1', 'torsion': [2, 2]}
  • id: 1044683
    {'degree': 8, 'field': [-47319, -30009, -12799, -3693, -1017, -112, -3, 0, 1], 'lmfdb_label': '20449.g1', 'torsion': [3]}
  • id: 1044684
    {'degree': 10, 'field': [23, -89, -61, 471, -204, -304, 130, 56, -21, -3, 1], 'lmfdb_label': '20449.g1', 'torsion': [11]}
  • id: 1044685
    {'degree': 12, 'field': [-246737, 300191, 31150, 135625, 14848, -28459, 1150, 1271, -700, 3, 36, -1, 1], 'lmfdb_label': '20449.g1', '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: 464614
    {'conductor': 20449, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '20449.g1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 464615
    {'conductor': 20449, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '20449.g1', 'prime': 13, '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

  
  
  • id: 1800806
    {'adelic_gens': [[791, 0, 0, 1143], [1, 0, 352, 1], [573, 286, 286, 1], [573, 572, 572, 573], [716, 143, 429, 287], [573, 572, 858, 1], [1, 572, 0, 1], [1, 0, 572, 1], [793, 352, 792, 793], [573, 1001, 0, 859], [103, 0, 0, 831], [1, 260, 0, 1]], 'adelic_image': '1144.480.16.?', 'conductor': 20449, 'lmfdb_label': '20449.g1', 'prime': 0}
  • id: 95293
    {'conductor': 20449, 'elladic_image': '4.2.0.1', 'lmfdb_label': '20449.g1', 'modell_image': '2G', 'prime': 2}
  • id: 95294
    {'conductor': 20449, 'elladic_image': '11.60.1.4', 'lmfdb_label': '20449.g1', 'modell_image': '11B.10.4', 'prime': 11}
• lmfdb_iso 20449.g does not appear in ec_padic