Elliptic curve data - 432.d1

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '432b', 'Clabel': '432b1', 'Cnumber': 1, 'absD': 6912, 'ainvs': [0, 0, 0, 0, -4], 'analytic_rank': 1, 'bad_primes': [2, 3], 'class_deg': 3, 'class_size': 2, 'cm': -3, 'conductor': 432, 'degree': 24, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.58436623588771361919623647232', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 3], 'jinv': [0, 1], 'lmfdb_iso': '432.d', 'lmfdb_label': '432.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 0, 4], 'min_quad_twist_disc': -4, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.45032068563987499353186356397', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 27], [3, 6, 16]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.3211174284280379149898691959', 'prec': 103}, 'szpiro_ratio': 2.6853314789615865, '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, -5, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 0, 0, -5, 0, -7, 0, 1, 0, 0, 4, -1, 0, -8, 0, 0, 0, -13, -11, 0, 17, 13, 0, 0, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 432, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '432.d', 'trace_hash': 445345495401709227}
• 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': '3.2179112590980491572484561478', 'prec': 100}, 'conductor': 432, 'gens': [[2, 2, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.45032068563987499353186356397', 'prec': 103}], 'lmfdb_label': '432.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.9276212966599981310456977883', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7360954879319104704068343092968042050', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [2, 5]}
• 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, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [3, 0], '23': [1, 1, 0], '29': [3, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '432.d1'}
• ec_torsion_growth •

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

  
  
  • id: 18731
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [3]}
  • id: 18732
    {'degree': 3, 'field': [-2, 0, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [2]}
  • id: 18733
    {'degree': 6, 'field': [1, -3, 0, 5, 0, -3, 1], 'lmfdb_label': '432.d1', 'torsion': [2, 2]}
  • id: 18734
    {'degree': 6, 'field': [1, 6, 3, -2, -3, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [6]}
  • id: 18735
    {'degree': 6, 'field': [2, 0, 0, -2, 0, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [6]}
  • id: 18736
    {'degree': 12, 'field': [-2, 0, 12, 4, -18, -12, 0, 12, 12, -2, -6, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [12]}
  • id: 18737
    {'degree': 12, 'field': [1, 6, 21, 50, 78, 78, 47, 12, -6, -8, -3, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [6, 6]}
  • id: 18738
    {'degree': 12, 'field': [21, 0, 126, 0, 147, 0, -120, 0, 39, 0, -6, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [7]}
  • id: 18739
    {'degree': 18, 'field': [1, 0, 6, 0, -9, 0, -21, 0, 75, 0, -36, 0, -24, 0, 33, 0, -9, 0, 1], 'lmfdb_label': '432.d1', 'torsion': [18]}
• 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: 4482
    {'conductor': 432, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '432.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4483
    {'conductor': 432, 'conductor_valuation': 3, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '432.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
• lmfdb_label 432.d1 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 5895
    {'lmfdb_iso': '432.d', 'p': 7, 'prec': 20, 'unit': 2476164719100283, 'val': 1}
  • id: 5898
    {'lmfdb_iso': '432.d', 'p': 13, 'prec': 20, 'unit': 624262444721500328195, 'val': 1}
  • id: 5900
    {'lmfdb_iso': '432.d', 'p': 19, 'prec': 20, 'unit': 18321843124291395150928307, 'val': 0}
  • id: 5902
    {'lmfdb_iso': '432.d', 'p': 31, 'prec': 20, 'unit': 19330813065600386357441053658, 'val': 1}
  • id: 5894
    {'lmfdb_iso': '432.d', 'p': 37, 'prec': 20, 'unit': 427824703387126532719622332692, 'val': 1}
  • id: 5897
    {'lmfdb_iso': '432.d', 'p': 43, 'prec': 20, 'unit': 9841798074218715539220773026309, 'val': 1}
  • id: 5901
    {'lmfdb_iso': '432.d', 'p': 61, 'prec': 20, 'unit': 7142097273474191930233375930209865, 'val': 1}
  • id: 5893
    {'lmfdb_iso': '432.d', 'p': 67, 'prec': 20, 'unit': 3058199258328660623034561290332346, 'val': 1}
  • id: 5896
    {'lmfdb_iso': '432.d', 'p': 73, 'prec': 20, 'unit': 66022140211457524973903825575452346, 'val': 1}
  • id: 5899
    {'lmfdb_iso': '432.d', 'p': 79, 'prec': 20, 'unit': 406113583612762595972710773024666549, 'val': 1}
  • id: 5892
    {'lmfdb_iso': '432.d', 'p': 97, 'prec': 20, 'unit': 55274814925867724148738284172126868570, 'val': 1}