Elliptic curve data - 15075.h1

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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': '15075h', 'Clabel': '15075h1', 'Cnumber': 1, 'abc_quality': 0.8300435902407984, 'absD': 4292841796875, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 134, 'ainvs': [0, 0, 1, 3750, -46094], 'analytic_rank': 1, 'bad_primes': [3, 5, 67], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 15075, 'degree': 21120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1122752804030926366559803518', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [819200, 603], 'lmfdb_iso': '15075.h', 'lmfdb_label': '15075.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 17, 19], 'min_quad_twist_disc': -15, 'modell_images': [], 'modm_images': ['134.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.1391649321395750124029422895', 'prec': 100}, 'semistable': False, 'serre_invariants': [[3, 8, 1675], [5, 2, 603], [67, 68, 225]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77822912429271252120894171102', 'prec': 107}, 'szpiro_ratio': 3.7732998005602214, '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, -2, 0, 0, 2, 0, 0, 0, -2, 0, 6, 0, 0, 4, 2, 0, 5, 0], 'aplist': [0, 0, 0, 2, -2, 6, 2, 5, -5, -2, 0, -7, -12, 4, -1, -12, 0, 2, 1, 15, -9, -16, -15, -1, -6], 'class_deg': 1, 'class_size': 1, 'conductor': 15075, 'isogeny_matrix': [[1]], 'lmfdb_iso': '15075.h', 'trace_hash': 499031157192870814}
• 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': '0.10811599928454441435279563287', 'prec': 103}, 'conductor': 15075, 'gens': [[361, 8105, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '5.1391649321395750124029422895', 'prec': 100}], 'lmfdb_label': '15075.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.43609224756416112156696272273', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4822999717193336736346369647592186322', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0], '67': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '15075.h1'}
• ec_torsion_growth •

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

  
  
  • id: 775373
    {'degree': 3, 'field': [17, -3, -1, 1], 'lmfdb_label': '15075.h1', 'torsion': [2]}
  • id: 775374
    {'degree': 6, 'field': [1711, -473, 466, 13, -4, -3, 1], 'lmfdb_label': '15075.h1', 'torsion': [2, 2]}
  • id: 775375
    {'degree': 8, 'field': [85984, -50385, 14107, -604, -600, 224, -20, -3, 1], 'lmfdb_label': '15075.h1', 'torsion': [3]}
  • id: 775376
    {'degree': 12, 'field': [-376564739, -61868666, 11394964, -3632720, 2557025, -127976, 3616, 4016, -2365, 50, 4, -4, 1], 'lmfdb_label': '15075.h1', '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: 333019
    {'conductor': 15075, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '15075.h1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 333020
    {'conductor': 15075, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '15075.h1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 333021
    {'conductor': 15075, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15075.h1', 'prime': 67, '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], [1, 0, 2, 1], [1, 1, 133, 0], [133, 2, 132, 3], [69, 2, 69, 3]], 'adelic_image': '134.2.0.?', 'conductor': 15075, 'lmfdb_label': '15075.h1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 676560
    {'lmfdb_iso': '15075.h', 'p': 7, 'prec': 20, 'unit': 4653516997533295, 'val': 1}
  • id: 676558
    {'lmfdb_iso': '15075.h', 'p': 11, 'prec': 20, 'unit': 20469507012474596842, 'val': 1}
  • id: 676564
    {'lmfdb_iso': '15075.h', 'p': 13, 'prec': 20, 'unit': 15942683843408067085, 'val': 1}
  • id: 676566
    {'lmfdb_iso': '15075.h', 'p': 17, 'prec': 20, 'unit': 498759551530407483637, 'val': 2}
  • id: 676567
    {'lmfdb_iso': '15075.h', 'p': 19, 'prec': 20, 'unit': 298549586343086553872261, 'val': 1}
  • id: 676570
    {'lmfdb_iso': '15075.h', 'p': 23, 'prec': 20, 'unit': 13361119906068741233024664, 'val': 1}
  • id: 676563
    {'lmfdb_iso': '15075.h', 'p': 29, 'prec': 20, 'unit': 875020367367781943127736661, 'val': 1}
  • id: 676559
    {'lmfdb_iso': '15075.h', 'p': 37, 'prec': 20, 'unit': 547349637703864093377485882112, 'val': 1}
  • id: 676561
    {'lmfdb_iso': '15075.h', 'p': 41, 'prec': 20, 'unit': 1468812319309483052895489549339, 'val': 1}
  • id: 676562
    {'lmfdb_iso': '15075.h', 'p': 43, 'prec': 20, 'unit': 9474403820227653274491016958945, 'val': 1}
  • id: 676565
    {'lmfdb_iso': '15075.h', 'p': 47, 'prec': 20, 'unit': 42164115620992961808091536048297, 'val': 1}
  • id: 676568
    {'lmfdb_iso': '15075.h', 'p': 53, 'prec': 20, 'unit': 510311661860244942656518150069562, 'val': 1}
  • id: 676574
    {'lmfdb_iso': '15075.h', 'p': 61, 'prec': 20, 'unit': 7277715375930997580667257795738559, 'val': 1}
  • id: 676572
    {'lmfdb_iso': '15075.h', 'p': 71, 'prec': 20, 'unit': 80247899891782450159760673492671065, 'val': 1}
  • id: 676569
    {'lmfdb_iso': '15075.h', 'p': 73, 'prec': 20, 'unit': 21950731406558275122606251928160697, 'val': 1}
  • id: 676573
    {'lmfdb_iso': '15075.h', 'p': 79, 'prec': 20, 'unit': 411212193240043241774386487310843836, 'val': 1}
  • id: 676557
    {'lmfdb_iso': '15075.h', 'p': 83, 'prec': 20, 'unit': 1717158272528923574741478803489497428, 'val': 1}
  • id: 676571
    {'lmfdb_iso': '15075.h', 'p': 89, 'prec': 20, 'unit': 4498211525294482524138352783151900420, 'val': 1}
  • id: 676556
    {'lmfdb_iso': '15075.h', 'p': 97, 'prec': 20, 'unit': 43215227892054290753024054930367198735, 'val': 1}