Elliptic curve data - 3648.b1

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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': '3648e', 'Clabel': '3648e1', 'Cnumber': 1, 'abc_quality': 0.9683212756362215, 'absD': 98496, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, -1, 0, -287, -1779], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3648, 'degree': 768, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.044550148104624591717018110521', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-40992251392, 1539], 'lmfdb_iso': '3648.b', 'lmfdb_label': '3648.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1149, 15381], 'min_quad_twist_disc': -8, 'modell_images': [], 'modm_images': ['38.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2841953441810445724385591453', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30202344217534806299159795021', 'prec': 107}, 'szpiro_ratio': 3.4864454685525335, '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, -3, 0, 3, 0, 1, 0, -3, 0, 0, 0, 3, 0, 1, 0, -1, 0], 'aplist': [0, -1, -3, 3, -3, 0, 1, -1, 0, 8, -2, 4, -12, 1, 9, -6, 6, 1, 10, -10, -11, 6, 0, -6, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 3648, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3648.b', 'trace_hash': 975201255321423873}
• 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': '0.91475382263258683517298799882', 'prec': 103}, 'conductor': 3648, 'gens': [[20, 9, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2841953441810445724385591453', 'prec': 100}], 'lmfdb_label': '3648.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57979181218642380724634322044', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6487155159810397625270382582958992961', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3648.b1'}
• ec_torsion_growth •

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

  
  
  • id: 190280
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '3648.b1', 'torsion': [2]}
  • id: 190281
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '3648.b1', 'torsion': [2, 2]}
  • id: 190282
    {'degree': 8, 'field': [-12, 0, -56, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '3648.b1', 'torsion': [3]}
  • id: 190283
    {'degree': 12, 'field': [-171, 0, 10, 0, -93, 0, 40, 0, -5, 0, 6, 0, 1], 'lmfdb_label': '3648.b1', '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: 67148
    {'conductor': 3648, 'conductor_valuation': 6, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '3648.b1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 67149
    {'conductor': 3648, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '3648.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 67150
    {'conductor': 3648, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3648.b1', 'prime': 19, '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': [[37, 2, 36, 3], [1, 2, 0, 1], [1, 0, 2, 1], [21, 2, 21, 3], [1, 1, 37, 0]], 'adelic_image': '38.2.0.?', 'conductor': 3648, 'lmfdb_label': '3648.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 123545
    {'lmfdb_iso': '3648.b', 'p': 5, 'prec': 20, 'unit': 11399172359609, 'val': 1}
  • id: 123546
    {'lmfdb_iso': '3648.b', 'p': 7, 'prec': 20, 'unit': 6207450469333872, 'val': 1}
  • id: 123544
    {'lmfdb_iso': '3648.b', 'p': 11, 'prec': 20, 'unit': 57239101237652526109, 'val': 1}
  • id: 123552
    {'lmfdb_iso': '3648.b', 'p': 17, 'prec': 20, 'unit': 1464994993215845002762932, 'val': -1}
  • id: 123550
    {'lmfdb_iso': '3648.b', 'p': 29, 'prec': 20, 'unit': 2106436777682074719030200053, 'val': 1}
  • id: 123547
    {'lmfdb_iso': '3648.b', 'p': 31, 'prec': 20, 'unit': 9124754286627317888364470689, 'val': 1}
  • id: 123561
    {'lmfdb_iso': '3648.b', 'p': 37, 'prec': 20, 'unit': 228006547088556396337871216300, 'val': 1}
  • id: 123548
    {'lmfdb_iso': '3648.b', 'p': 41, 'prec': 20, 'unit': 3115939759395851195967660875247, 'val': 1}
  • id: 123549
    {'lmfdb_iso': '3648.b', 'p': 43, 'prec': 20, 'unit': 216742002150657707209041923868977, 'val': -1}
  • id: 123559
    {'lmfdb_iso': '3648.b', 'p': 47, 'prec': 20, 'unit': 13428541521371061828103295928071, 'val': 1}
  • id: 123554
    {'lmfdb_iso': '3648.b', 'p': 53, 'prec': 20, 'unit': 86670934824392203274751333148553, 'val': 1}
  • id: 123555
    {'lmfdb_iso': '3648.b', 'p': 59, 'prec': 20, 'unit': 338062532841728792664124593492859, 'val': 1}
  • id: 123560
    {'lmfdb_iso': '3648.b', 'p': 61, 'prec': 20, 'unit': 423428496531200759641325982966458057, 'val': -1}
  • id: 123553
    {'lmfdb_iso': '3648.b', 'p': 67, 'prec': 20, 'unit': 44750100971872897704310075226389983, 'val': 1}
  • id: 123558
    {'lmfdb_iso': '3648.b', 'p': 71, 'prec': 20, 'unit': 51429880664415210510212414505799641, 'val': 1}
  • id: 123556
    {'lmfdb_iso': '3648.b', 'p': 73, 'prec': 20, 'unit': 217019612405148942498638015010272860, 'val': 1}
  • id: 123551
    {'lmfdb_iso': '3648.b', 'p': 79, 'prec': 20, 'unit': 1011465793409571689576106622450088437, 'val': 1}
  • id: 123557
    {'lmfdb_iso': '3648.b', 'p': 89, 'prec': 20, 'unit': 3824088205071140788491247012119620656, 'val': 1}
  • id: 123543
    {'lmfdb_iso': '3648.b', 'p': 97, 'prec': 20, 'unit': 44846442377451791955228435781534728300, 'val': 1}