Elliptic curve data - 3864.c1

Formats: - HTML - YAML - JSON - 2023-09-25T09:47:47.117299

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '3864c', 'Clabel': '3864c1', 'Cnumber': 1, 'absD': 90139392, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 966, 'ainvs': [0, 1, 0, 7, 459], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3864, 'degree': 1120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.20535241092484384592542053856', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [128000, 352107], 'lmfdb_iso': '3864.c', 'lmfdb_label': '3864.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 7, 459], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['966.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 10, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.097771173301500254894393723167', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.25674570944845302701940087575', 'prec': 107}, '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, -1, 0, 1, 0, 1, 0, -6, 0, 0, 0, 0, 0, 7, 0], 'aplist': [0, 1, 0, -1, 1, -6, 0, 7, 1, -10, -10, 6, -5, 4, -1, -3, -3, 9, -4, -12, -4, -2, 2, 18, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 3864, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3864.c', 'trace_hash': 1671572659420828684}
• 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': '0.66318265974279283948180410156', 'prec': 103}, 'conductor': 3864, 'gens': [[-5, 18, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.097771173301500254894393723167', 'prec': 107}], 'lmfdb_label': '3864.c1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4983314328005271692168486882', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.1018214210239147072335728972241295553', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': [-5, -2, 7, 13, 175]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [2, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3864.c1'}
• ec_torsion_growth •

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

  
  
  • id: 200871
    {'degree': 3, 'field': [3, 7, -1, 1], 'lmfdb_label': '3864.c1', 'torsion': [2]}
  • id: 200872
    {'degree': 6, 'field': [1932, 0, 400, 0, 40, 0, 1], 'lmfdb_label': '3864.c1', 'torsion': [2, 2]}
  • id: 200873
    {'degree': 8, 'field': [-1875, 0, 104, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '3864.c1', 'torsion': [3]}
  • id: 200874
    {'degree': 12, 'field': [-24186, -4680, -18948, -8244, -5900, -2080, -1532, 536, -362, -58, 28, -4, 1], 'lmfdb_label': '3864.c1', '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: 71657
    {'conductor': 3864, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '3864.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 71658
    {'conductor': 3864, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '3864.c1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 71659
    {'conductor': 3864, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3864.c1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 71660
    {'conductor': 3864, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3864.c1', 'prime': 23, 'reduction_type': 1, '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': [[1, 1, 965, 0], [323, 2, 323, 3], [925, 2, 925, 3], [1, 0, 2, 1], [1, 2, 0, 1], [965, 2, 964, 3], [829, 2, 829, 3]], 'adelic_image': '966.2.0.?', 'conductor': 3864, 'lmfdb_label': '3864.c1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 133659
    {'lmfdb_iso': '3864.c', 'p': 11, 'prec': 20, 'unit': 205861127028580696513, 'val': -1}
  • id: 133665
    {'lmfdb_iso': '3864.c', 'p': 13, 'prec': 20, 'unit': 933841051097336222556, 'val': 1}
  • id: 133668
    {'lmfdb_iso': '3864.c', 'p': 19, 'prec': 20, 'unit': 1892000178427449415379947, 'val': 1}
  • id: 133664
    {'lmfdb_iso': '3864.c', 'p': 29, 'prec': 20, 'unit': 4969394000309810335039694926, 'val': 1}
  • id: 133675
    {'lmfdb_iso': '3864.c', 'p': 31, 'prec': 20, 'unit': 5225748521458087501038101718, 'val': 1}
  • id: 133660
    {'lmfdb_iso': '3864.c', 'p': 37, 'prec': 20, 'unit': 343234961112376800761327606094, 'val': 1}
  • id: 133662
    {'lmfdb_iso': '3864.c', 'p': 41, 'prec': 20, 'unit': 3803296772874629534225017762517, 'val': 1}
  • id: 133663
    {'lmfdb_iso': '3864.c', 'p': 43, 'prec': 20, 'unit': 2825525175029249660166846645953, 'val': 1}
  • id: 133673
    {'lmfdb_iso': '3864.c', 'p': 47, 'prec': 20, 'unit': 26084245891265712186441082059102, 'val': 1}
  • id: 133669
    {'lmfdb_iso': '3864.c', 'p': 53, 'prec': 20, 'unit': 125957326453657067148707110978220, 'val': 1}
  • id: 133667
    {'lmfdb_iso': '3864.c', 'p': 59, 'prec': 20, 'unit': 2214206741238933206586556136980031, 'val': 1}
  • id: 133674
    {'lmfdb_iso': '3864.c', 'p': 61, 'prec': 20, 'unit': 1200949632991341466257854633549304, 'val': 1}
  • id: 133658
    {'lmfdb_iso': '3864.c', 'p': 67, 'prec': 20, 'unit': 30404668481555198438789771185388606, 'val': 1}
  • id: 133661
    {'lmfdb_iso': '3864.c', 'p': 71, 'prec': 20, 'unit': 82863164752193952060167242364243678, 'val': 1}
  • id: 133670
    {'lmfdb_iso': '3864.c', 'p': 73, 'prec': 20, 'unit': 32190612439266741960188304165174908, 'val': 1}
  • id: 133666
    {'lmfdb_iso': '3864.c', 'p': 79, 'prec': 20, 'unit': 838903969319988293233711903010778460, 'val': 1}
  • id: 133671
    {'lmfdb_iso': '3864.c', 'p': 83, 'prec': 20, 'unit': 1043530333962871340787593117917461283, 'val': 1}
  • id: 133672
    {'lmfdb_iso': '3864.c', 'p': 89, 'prec': 20, 'unit': 1760627035976009078021305195568968586, 'val': 1}
  • id: 133657
    {'lmfdb_iso': '3864.c', 'p': 97, 'prec': 20, 'unit': 38056941930908787672023914947941150935, 'val': 1}