Elliptic curve data - 3648.g1

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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': '3648ba', 'Clabel': '3648ba1', 'Cnumber': 1, 'abc_quality': 0.9505813097944765, 'absD': 1011400704, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 38, 'ainvs': [0, -1, 0, 219, -963], 'analytic_rank': 1, 'bad_primes': [2, 3, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 3648, 'degree': 1536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.41537831906460616509023408993', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1], 'jinv': [70575104, 61731], 'lmfdb_iso': '3648.g', 'lmfdb_label': '3648.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 55, 93], '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': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.58355881626776237386412369685', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39329339158866336256320338510', 'prec': 107}, 'szpiro_ratio': 3.386548507244187, '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, 3, 0, 1, 0, -5, 0, 2, 0, 1, 0, -1, 0, 1, 0], 'aplist': [0, -1, -1, 3, -5, 2, -1, 1, -4, 6, 10, 0, 0, -11, -9, -10, 4, 5, -4, -8, 13, -4, -4, -6, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 3648, 'isogeny_matrix': [[1]], 'lmfdb_iso': '3648.g', 'trace_hash': 1411483842001532545}
• 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': '0.43571947959319642418398010838', 'prec': 103}, 'conductor': 3648, 'gens': [[12, 57, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.58355881626776237386412369685', 'prec': 103}], 'lmfdb_label': '3648.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.85860217295258766018785366640', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0062692061588438109006839720397295814', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': [12, 324]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3648.g1'}
• ec_torsion_growth •

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

  
  
  • id: 190711
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '3648.g1', 'torsion': [2]}
  • id: 190712
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '3648.g1', 'torsion': [2, 2]}
  • id: 190713
    {'degree': 8, 'field': [-3, 0, 10, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '3648.g1', 'torsion': [3]}
  • id: 190714
    {'degree': 12, 'field': [-1539, 0, -800, 0, -365, 0, -172, 0, -61, 0, 4, 0, 1], 'lmfdb_label': '3648.g1', '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: 67292
    {'conductor': 3648, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '3648.g1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 67293
    {'conductor': 3648, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3648.g1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 67294
    {'conductor': 3648, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3648.g1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• 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.g1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 123725
    {'lmfdb_iso': '3648.g', 'p': 5, 'prec': 20, 'unit': 8961451520561, 'val': 1}
  • id: 123726
    {'lmfdb_iso': '3648.g', 'p': 7, 'prec': 20, 'unit': 528127477112446, 'val': 2}
  • id: 123724
    {'lmfdb_iso': '3648.g', 'p': 11, 'prec': 20, 'unit': 16941563701210773632, 'val': 1}
  • id: 123730
    {'lmfdb_iso': '3648.g', 'p': 13, 'prec': 20, 'unit': 949333170329303592184, 'val': 1}
  • id: 123732
    {'lmfdb_iso': '3648.g', 'p': 17, 'prec': 20, 'unit': 197816285075024179304933, 'val': 1}
  • id: 123736
    {'lmfdb_iso': '3648.g', 'p': 23, 'prec': 20, 'unit': 60877177452458621575542948, 'val': 1}
  • id: 123729
    {'lmfdb_iso': '3648.g', 'p': 29, 'prec': 20, 'unit': 4998144616815021384778955091, 'val': 1}
  • id: 123741
    {'lmfdb_iso': '3648.g', 'p': 31, 'prec': 20, 'unit': 5544603963896100261218758690, 'val': 1}
  • id: 123728
    {'lmfdb_iso': '3648.g', 'p': 43, 'prec': 20, 'unit': 6337225690966898664919805940029, 'val': 1}
  • id: 123739
    {'lmfdb_iso': '3648.g', 'p': 47, 'prec': 20, 'unit': 38648284039046471305990108058611, 'val': 1}
  • id: 123734
    {'lmfdb_iso': '3648.g', 'p': 53, 'prec': 20, 'unit': 404885114268539386015730912463028, 'val': 1}
  • id: 123735
    {'lmfdb_iso': '3648.g', 'p': 59, 'prec': 20, 'unit': 3102043099531623419279366566290007, 'val': 1}
  • id: 123740
    {'lmfdb_iso': '3648.g', 'p': 61, 'prec': 20, 'unit': 1177558596953427163464216230746437, 'val': 1}
  • id: 123733
    {'lmfdb_iso': '3648.g', 'p': 67, 'prec': 20, 'unit': 48899791394686288868684004623093093, 'val': 1}
  • id: 123738
    {'lmfdb_iso': '3648.g', 'p': 71, 'prec': 20, 'unit': 25797426908113883309926059578098219, 'val': 1}
  • id: 123727
    {'lmfdb_iso': '3648.g', 'p': 73, 'prec': 20, 'unit': 41491955880781374154563866988418706, 'val': 1}
  • id: 123731
    {'lmfdb_iso': '3648.g', 'p': 79, 'prec': 20, 'unit': 339904748097287205200335860567557131, 'val': 1}
  • id: 123723
    {'lmfdb_iso': '3648.g', 'p': 83, 'prec': 20, 'unit': 2026756790501259935914737613809340869, 'val': 1}
  • id: 123737
    {'lmfdb_iso': '3648.g', 'p': 89, 'prec': 20, 'unit': 10412232555962016143280250165432512474, 'val': 1}
  • id: 123722
    {'lmfdb_iso': '3648.g', 'p': 97, 'prec': 20, 'unit': 31465060197201975726402089069003654560, 'val': 1}