Elliptic curve data - 784.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '784a', 'Clabel': '784a1', 'Cnumber': 1, 'abc_quality': 0.8374478418484275, 'absD': 38416, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 28, 'ainvs': [0, 1, 0, -16, -29], 'analytic_rank': 1, 'bad_primes': [2, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 784, 'degree': 48, 'elladic_images': ['4.4.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.37687354763406050853070730436', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1], 'jinv': [12544, 1], 'lmfdb_iso': '784.h', 'lmfdb_label': '784.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -16, 29], 'min_quad_twist_disc': -4, 'modell_images': ['2Cn'], 'modm_images': ['2.2.0.a.1', '4.4.0-2.a.1.1', '14.6.0.a.1', '28.12.0-14.a.1.3'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.0042550087756332016916364568', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2565593241724800467049022593', 'prec': 103}, 'szpiro_ratio': 3.0, '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, -1, 0, 0, 0, -2, 0, -3, 0, -6, 0, -1, 0, -5, 0, -1, 0], 'aplist': [0, 1, -1, 0, -3, -6, -5, -1, 7, 2, 5, 3, -2, 4, -5, -1, -15, -5, 9, 0, 7, -1, -12, 7, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 784, 'isogeny_matrix': [[1]], 'lmfdb_iso': '784.h', 'trace_hash': 307731063990236932}
• 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': '2.1249474980435377701042202723', 'prec': 100}, 'conductor': 784, 'gens': [[-3, 1, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.0042550087756332016916364568', 'prec': 100}], 'lmfdb_label': '784.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.3868312844837742556881804326', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3969872725452085820982386770045506623', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': [-3]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '784.h1'}
• ec_torsion_growth •

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

  
  
  • id: 36468
    {'degree': 3, 'field': [1, -2, -1, 1], 'lmfdb_label': '784.h1', 'torsion': [2, 2]}
  • id: 36469
    {'degree': 8, 'field': [-12, 0, 20, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '784.h1', 'torsion': [3]}
  • id: 36470
    {'degree': 12, 'field': [-8, 16, 16, -72, 68, -8, -28, 20, -8, 4, 0, -2, 1], 'lmfdb_label': '784.h1', 'torsion': [2, 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: 9982
    {'conductor': 784, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '784.h1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9983
    {'conductor': 784, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '784.h1', 'prime': 7, '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

  
  
  • id: 1669580
    {'adelic_gens': [[1, 2, 2, 5], [13, 24, 14, 27], [23, 1, 11, 0], [3, 2, 20, 23], [1, 4, 0, 1], [25, 4, 24, 5], [1, 0, 4, 1]], 'adelic_image': '28.12.0.?', 'conductor': 784, 'lmfdb_label': '784.h1', 'prime': 0}
  • id: 3598
    {'conductor': 784, 'elladic_image': '4.4.0.2', 'lmfdb_label': '784.h1', 'modell_image': '2Cn', 'prime': 2}
• ec_padic •

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

  
  
  • id: 15417
    {'lmfdb_iso': '784.h', 'p': 5, 'prec': 20, 'unit': 16314741746574, 'val': 1}
  • id: 15416
    {'lmfdb_iso': '784.h', 'p': 11, 'prec': 20, 'unit': 48145796798707376287, 'val': 1}
  • id: 15422
    {'lmfdb_iso': '784.h', 'p': 13, 'prec': 20, 'unit': 148726591739058474253, 'val': 1}
  • id: 15424
    {'lmfdb_iso': '784.h', 'p': 17, 'prec': 20, 'unit': 191125153239415932794205, 'val': 1}
  • id: 15425
    {'lmfdb_iso': '784.h', 'p': 19, 'prec': 20, 'unit': 1524905849379908291225131, 'val': 1}
  • id: 15429
    {'lmfdb_iso': '784.h', 'p': 23, 'prec': 20, 'unit': 53353890485922202270020211, 'val': 1}
  • id: 15421
    {'lmfdb_iso': '784.h', 'p': 29, 'prec': 20, 'unit': 116464094375887700167798556, 'val': 2}
  • id: 15418
    {'lmfdb_iso': '784.h', 'p': 31, 'prec': 20, 'unit': 3864533518470920042936437816, 'val': 1}
  • id: 15434
    {'lmfdb_iso': '784.h', 'p': 37, 'prec': 20, 'unit': 363590525085708315061493394363, 'val': 1}
  • id: 15419
    {'lmfdb_iso': '784.h', 'p': 41, 'prec': 20, 'unit': 2818983415696112367118442196365, 'val': 1}
  • id: 15420
    {'lmfdb_iso': '784.h', 'p': 43, 'prec': 20, 'unit': 9507739828374930089295565690512, 'val': 1}
  • id: 15431
    {'lmfdb_iso': '784.h', 'p': 47, 'prec': 20, 'unit': 30399240869697148103718391645830, 'val': 1}
  • id: 15426
    {'lmfdb_iso': '784.h', 'p': 53, 'prec': 20, 'unit': 198553428330788860354882359730335, 'val': 1}
  • id: 15427
    {'lmfdb_iso': '784.h', 'p': 59, 'prec': 20, 'unit': 3057117886035367993149826418195160, 'val': 1}
  • id: 15432
    {'lmfdb_iso': '784.h', 'p': 61, 'prec': 20, 'unit': 2894972810283974372467124547764562, 'val': 1}
  • id: 15415
    {'lmfdb_iso': '784.h', 'p': 67, 'prec': 20, 'unit': 47139345996730438748632683784518186, 'val': 1}
  • id: 15428
    {'lmfdb_iso': '784.h', 'p': 73, 'prec': 20, 'unit': 111682306229581157107343981689947368, 'val': 1}
  • id: 15423
    {'lmfdb_iso': '784.h', 'p': 79, 'prec': 20, 'unit': 787004465920153721434802917439663741, 'val': 1}
  • id: 15433
    {'lmfdb_iso': '784.h', 'p': 83, 'prec': 20, 'unit': 272344417127005612934132124391074500, 'val': 1}
  • id: 15430
    {'lmfdb_iso': '784.h', 'p': 89, 'prec': 20, 'unit': 1417949640461580628464711117396598265, 'val': 1}
  • id: 15414
    {'lmfdb_iso': '784.h', 'p': 97, 'prec': 20, 'unit': 26160774230700491432489247602428692086, 'val': 1}