Elliptic curve data - 72828.n1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '72828j', 'Clabel': '72828j1', 'Cnumber': 1, 'abc_quality': 0.9963242422886605, 'absD': 9719575820676946305648, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 14, 'ainvs': [0, 0, 0, 1252815, -4712505383], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 72828, 'degree': 3818880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8988217535423940649324937129', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1], 'jinv': [9248000, 413343], 'lmfdb_iso': '72828.n', 'lmfdb_label': '72828.n1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 482, 35365], 'min_quad_twist_disc': -51, 'modell_images': [], 'modm_images': ['14.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.206835234491802878019007681', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 18207], [3, 8, 8092], [7, 8, 10404], [17, 66, 252]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.24254457102515595077881846094', 'prec': 107}, 'szpiro_ratio': 5.1867510412239515, '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, 0, 0, 0, 0, -1, 0, 0, 0, -4, 0, 6, 0, 0, 0, 0, 0, -6, 0], 'aplist': [0, 0, 0, -1, -4, 6, 0, -6, 1, 3, 0, 3, 6, -7, -12, 3, 10, 2, -4, 3, -8, -7, 6, 10, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 72828, 'isogeny_matrix': [[1]], 'lmfdb_iso': '72828.n', 'trace_hash': 2234812082628204969}
• 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': '0.0030346975693854190121875412099', 'prec': 110}, 'conductor': 72828, 'gens': [[13104293, 45429270903, 71]], 'heights': [{'__RealLiteral__': 0, 'data': '15.206835234491802878019007681', 'prec': 100}], 'lmfdb_label': '72828.n1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.061957289298362076392916850854', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.6530457396156060098343899791699816597', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': 'a', '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '72828.n1'}
• ec_torsion_growth •

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

  
  
  • id: 3451399
    {'degree': 3, 'field': [5, 6, -1, 1], 'lmfdb_label': '72828.n1', 'torsion': [2]}
  • id: 3451400
    {'degree': 6, 'field': [121, -5, -5, 19, -7, -3, 1], 'lmfdb_label': '72828.n1', 'torsion': [2, 2]}
  • id: 3451401
    {'degree': 8, 'field': [-169540, 45864, 10339, -7315, 210, 301, -34, -3, 1], 'lmfdb_label': '72828.n1', 'torsion': [3]}
  • id: 3451402
    {'degree': 12, 'field': [70899, 91122, -58898, -78142, 13011, 2958, -15430, -5304, 1884, 8, 40, -6, 1], 'lmfdb_label': '72828.n1', '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: 1766959
    {'conductor': 72828, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '72828.n1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 1766960
    {'conductor': 72828, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '72828.n1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1766961
    {'conductor': 72828, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '72828.n1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1766962
    {'conductor': 72828, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '72828.n1', 'prime': 17, '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

  
  {'adelic_gens': [[13, 2, 12, 3], [1, 1, 13, 0], [3, 2, 3, 3], [1, 2, 0, 1], [1, 0, 2, 1]], 'adelic_image': '14.2.0.?', 'conductor': 72828, 'lmfdb_label': '72828.n1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 3739726
    {'lmfdb_iso': '72828.n', 'p': 11, 'prec': 20, 'unit': 47929668679739288402, 'val': 1}
  • id: 3739732
    {'lmfdb_iso': '72828.n', 'p': 13, 'prec': 20, 'unit': 735766897394768706351, 'val': 1}
  • id: 3739735
    {'lmfdb_iso': '72828.n', 'p': 19, 'prec': 20, 'unit': 1297979211411357587234295, 'val': 1}
  • id: 3739738
    {'lmfdb_iso': '72828.n', 'p': 23, 'prec': 20, 'unit': 915997767776682899934511792, 'val': -1}
  • id: 3739731
    {'lmfdb_iso': '72828.n', 'p': 29, 'prec': 20, 'unit': 1865936053135945934019856960, 'val': 1}
  • id: 3739727
    {'lmfdb_iso': '72828.n', 'p': 37, 'prec': 20, 'unit': 90935675391070383744051890638, 'val': 1}
  • id: 3739729
    {'lmfdb_iso': '72828.n', 'p': 41, 'prec': 20, 'unit': 1840680129319538476331856424941, 'val': 1}
  • id: 3739730
    {'lmfdb_iso': '72828.n', 'p': 43, 'prec': 20, 'unit': 6584483976637130520991262741031, 'val': 1}
  • id: 3739740
    {'lmfdb_iso': '72828.n', 'p': 47, 'prec': 20, 'unit': 49459254617354347269066186079074, 'val': 1}
  • id: 3739736
    {'lmfdb_iso': '72828.n', 'p': 53, 'prec': 20, 'unit': 213950282632780769764608183491691, 'val': 1}
  • id: 3739734
    {'lmfdb_iso': '72828.n', 'p': 59, 'prec': 20, 'unit': 3569009497113759688208719591138495, 'val': 1}
  • id: 3739741
    {'lmfdb_iso': '72828.n', 'p': 61, 'prec': 20, 'unit': 830110893877842991185304404216344, 'val': 1}
  • id: 3739725
    {'lmfdb_iso': '72828.n', 'p': 67, 'prec': 20, 'unit': 7270182327986782992597447045468644, 'val': 1}
  • id: 3739728
    {'lmfdb_iso': '72828.n', 'p': 71, 'prec': 20, 'unit': 53099527460272002348754059694699980, 'val': 1}
  • id: 3739737
    {'lmfdb_iso': '72828.n', 'p': 73, 'prec': 20, 'unit': 100113255265074831739750248836760224, 'val': 1}
  • id: 3739733
    {'lmfdb_iso': '72828.n', 'p': 79, 'prec': 20, 'unit': 1023073971547681863489052406663498250, 'val': 1}
  • id: 3739742
    {'lmfdb_iso': '72828.n', 'p': 83, 'prec': 20, 'unit': 1817219249668194767901140784581272959, 'val': 1}
  • id: 3739739
    {'lmfdb_iso': '72828.n', 'p': 89, 'prec': 20, 'unit': 2234287016270233456838177837864849067, 'val': 1}
  • id: 3739724
    {'lmfdb_iso': '72828.n', 'p': 97, 'prec': 20, 'unit': 9986008465685243912147131871787623672, 'val': 1}