Elliptic curve data - 345.d1

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• 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': '345b', 'Clabel': '345b1', 'Cnumber': 1, 'absD': 1035, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 230, 'ainvs': [0, 1, 1, -1, 1], 'analytic_rank': 1, 'bad_primes': [3, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 345, 'degree': 16, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.73607895697933075198422683374', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-262144, 1035], 'lmfdb_iso': '345.d', 'lmfdb_label': '345.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -1, 1], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['230.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18573502335968495250202398475', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.73607895697933075198422683374', '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, -2, -1, 0, -3, 0, 1, 0, -4, -2, 0, 0, -1, 4, -3, 0, -8, 2], 'aplist': [0, 1, -1, -3, -4, 0, -3, -8, 1, 9, -5, -9, 7, 4, -2, 13, -3, -14, 13, -13, -4, 0, -1, -8, 10], 'class_deg': 1, 'class_size': 1, 'conductor': 345, 'isogeny_matrix': [[1]], 'lmfdb_iso': '345.d', 'trace_hash': 488269333343191287}
• 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': '4.3586305498791751338504207436', 'prec': 100}, 'conductor': 345, 'gens': [[-1, 1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.18573502335968495250202398475', 'prec': 103}], 'lmfdb_label': '345.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '4.2977618836891436922247248992', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5964898077227334150508059570750296739', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [-1, 1, 179]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 2, 0], '3': [4, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [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': '345.d1'}
• ec_torsion_growth •

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

  
  
  • id: 14980
    {'degree': 3, 'field': [-3, 5, -1, 1], 'lmfdb_label': '345.d1', 'torsion': [2]}
  • id: 14981
    {'degree': 6, 'field': [151, -23, 28, -11, 8, -3, 1], 'lmfdb_label': '345.d1', 'torsion': [2, 2]}
  • id: 14982
    {'degree': 8, 'field': [-48, 0, 179, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '345.d1', 'torsion': [3]}
  • id: 14983
    {'degree': 12, 'field': [324, -1248, 4288, 4392, -1472, -1344, 284, 432, 32, -48, -8, 0, 1], 'lmfdb_label': '345.d1', '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: 3384
    {'conductor': 345, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '345.d1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3385
    {'conductor': 345, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '345.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3386
    {'conductor': 345, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '345.d1', '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, 2, 0, 1], [229, 2, 228, 3], [51, 2, 51, 3], [1, 0, 2, 1], [1, 1, 229, 0], [47, 2, 47, 3]], 'adelic_image': '230.2.0.?', 'conductor': 345, 'lmfdb_label': '345.d1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4087
    {'lmfdb_iso': '345.d', 'p': 7, 'prec': 20, 'unit': 9594682858290155, 'val': 1}
  • id: 4092
    {'lmfdb_iso': '345.d', 'p': 11, 'prec': 20, 'unit': 52862461200751194637, 'val': 1}
  • id: 4093
    {'lmfdb_iso': '345.d', 'p': 17, 'prec': 20, 'unit': 144329237230826774615353, 'val': 1}
  • id: 4094
    {'lmfdb_iso': '345.d', 'p': 19, 'prec': 20, 'unit': 1721287465629133429794181, 'val': 1}
  • id: 4090
    {'lmfdb_iso': '345.d', 'p': 29, 'prec': 20, 'unit': 3663692492763669064114446678, 'val': 1}
  • id: 4101
    {'lmfdb_iso': '345.d', 'p': 31, 'prec': 20, 'unit': 15438676919351291165598405701, 'val': 1}
  • id: 4086
    {'lmfdb_iso': '345.d', 'p': 37, 'prec': 20, 'unit': 46965663043242494133836748440, 'val': 1}
  • id: 4088
    {'lmfdb_iso': '345.d', 'p': 41, 'prec': 20, 'unit': 1575963264569310640957886834269, 'val': 1}
  • id: 4089
    {'lmfdb_iso': '345.d', 'p': 43, 'prec': 20, 'unit': 1865625675552919908185507538751, 'val': 1}
  • id: 4091
    {'lmfdb_iso': '345.d', 'p': 47, 'prec': 20, 'unit': 18808912301524529116331970134360, 'val': 1}
  • id: 4095
    {'lmfdb_iso': '345.d', 'p': 53, 'prec': 20, 'unit': 377762583151213751216450078441152, 'val': 1}
  • id: 4099
    {'lmfdb_iso': '345.d', 'p': 59, 'prec': 20, 'unit': 202196428604994512687561981359770, 'val': 1}
  • id: 4100
    {'lmfdb_iso': '345.d', 'p': 61, 'prec': 20, 'unit': 2947954142730676497373139409446091, 'val': 1}
  • id: 4085
    {'lmfdb_iso': '345.d', 'p': 67, 'prec': 20, 'unit': 24508551338100439187738941775595550, 'val': 1}
  • id: 4098
    {'lmfdb_iso': '345.d', 'p': 71, 'prec': 20, 'unit': 37039764216586298734404919067016345, 'val': 1}
  • id: 4096
    {'lmfdb_iso': '345.d', 'p': 73, 'prec': 20, 'unit': 31523791735122816993525482094150604, 'val': 1}
  • id: 4084
    {'lmfdb_iso': '345.d', 'p': 83, 'prec': 20, 'unit': 835931622274414452528956342489556963, 'val': 1}
  • id: 4097
    {'lmfdb_iso': '345.d', 'p': 89, 'prec': 20, 'unit': 655830255395294466330649011730793095, 'val': 1}
  • id: 4083
    {'lmfdb_iso': '345.d', 'p': 97, 'prec': 20, 'unit': 20357760617874965744744642424830555458, 'val': 1}