Elliptic curve data - 2912.a1

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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': '2912c', 'Clabel': '2912c1', 'Cnumber': 1, 'abc_quality': 0.9386418530682312, 'absD': 18905589248, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 728, 'ainvs': [0, -1, 0, 632, 2324], 'analytic_rank': 1, 'bad_primes': [2, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2912, 'degree': 1440, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.66056276897169069066045205910', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1], 'jinv': [54439939000, 36924979], 'lmfdb_iso': '2912.a', 'lmfdb_label': '2912.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 632, 2324], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['728.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.12429170874290580567174655309', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 91], [3, 2, 224], [5, 2, 416], [7, 8, 416], [13, 14, 224]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.14070238355173170859752796801', 'prec': 103}, 'szpiro_ratio': 3.8811907750905243, '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, 0, 0, 1, 0, -2, 0, 1, 0, 1, 0, 0, 0, 4, 0, -6, 0], 'aplist': [0, -1, 0, 1, 1, 1, 4, -6, -5, 8, 1, -5, -7, 8, -7, 4, -10, 7, -7, -12, 9, 1, -8, -6, 19], 'class_deg': 1, 'class_size': 1, 'conductor': 2912, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2912.a', 'trace_hash': 97576588245392748}
• 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': '0.26683480019226913496264500795', 'prec': 103}, 'conductor': 2912, 'gens': [[116, 1274, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.12429170874290580567174655309', 'prec': 103}], 'lmfdb_label': '2912.a1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.76974527124566856872345903906', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8701886517968699471600379146860822214', 'prec': 130}, 'tamagawa_product': 30, 'torsion_generators': [], 'xcoord_integral_points': [4, 25, 116]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': [5, 5, 0], '7': [4, 0], '11': [5, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2912.a1'}
• ec_torsion_growth •

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

  
  
  • id: 152520
    {'degree': 3, 'field': [-2, 6, -1, 1], 'lmfdb_label': '2912.a1', 'torsion': [2]}
  • id: 152521
    {'degree': 6, 'field': [728, -728, 218, 12, -11, -2, 1], 'lmfdb_label': '2912.a1', 'torsion': [2, 2]}
  • id: 152522
    {'degree': 8, 'field': [-75, 0, 64, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '2912.a1', 'torsion': [3]}
  • id: 152523
    {'degree': 12, 'field': [-50552, -61336, -59708, -28020, -7636, 3736, 2240, 480, -114, 38, 25, -5, 1], 'lmfdb_label': '2912.a1', '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: 52147
    {'conductor': 2912, 'conductor_valuation': 5, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '2912.a1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 52148
    {'conductor': 2912, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2912.a1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 52149
    {'conductor': 2912, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2912.a1', 'prime': 13, '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': [[183, 2, 0, 1], [561, 2, 561, 3], [521, 2, 521, 3], [1, 0, 2, 1], [1, 2, 0, 1], [727, 2, 726, 3], [1, 1, 727, 0], [365, 2, 365, 3]], 'adelic_image': '728.2.0.?', 'conductor': 2912, 'lmfdb_label': '2912.a1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 94017
    {'lmfdb_iso': '2912.a', 'p': 11, 'prec': 20, 'unit': 278361388194628903697, 'val': 0}
  • id: 94018
    {'lmfdb_iso': '2912.a', 'p': 17, 'prec': 20, 'unit': 219593424481012826485537, 'val': 1}
  • id: 94019
    {'lmfdb_iso': '2912.a', 'p': 19, 'prec': 20, 'unit': 1153668252593324947325871, 'val': 1}
  • id: 94023
    {'lmfdb_iso': '2912.a', 'p': 23, 'prec': 20, 'unit': 27878535061200002685014675, 'val': 1}
  • id: 94015
    {'lmfdb_iso': '2912.a', 'p': 29, 'prec': 20, 'unit': 4176882859853230446470968818, 'val': 1}
  • id: 94027
    {'lmfdb_iso': '2912.a', 'p': 31, 'prec': 20, 'unit': 97855251883740665255120658919, 'val': -1}
  • id: 94011
    {'lmfdb_iso': '2912.a', 'p': 37, 'prec': 20, 'unit': 324851388134489058482988058294, 'val': 1}
  • id: 94013
    {'lmfdb_iso': '2912.a', 'p': 41, 'prec': 20, 'unit': 1576427824545850039728870513704, 'val': 1}
  • id: 94014
    {'lmfdb_iso': '2912.a', 'p': 43, 'prec': 20, 'unit': 7757366552461778246514227581475, 'val': 1}
  • id: 94025
    {'lmfdb_iso': '2912.a', 'p': 47, 'prec': 20, 'unit': 53389932024522091464323622501727, 'val': 1}
  • id: 94020
    {'lmfdb_iso': '2912.a', 'p': 53, 'prec': 20, 'unit': 16821111198423956885204056913828, 'val': 1}
  • id: 94021
    {'lmfdb_iso': '2912.a', 'p': 59, 'prec': 20, 'unit': 2949002842029469410006114511448288, 'val': 1}
  • id: 94026
    {'lmfdb_iso': '2912.a', 'p': 61, 'prec': 20, 'unit': 2348456948142178196028530000482899, 'val': 1}
  • id: 94010
    {'lmfdb_iso': '2912.a', 'p': 67, 'prec': 20, 'unit': 33850342492971757157967097102666628, 'val': 1}
  • id: 94012
    {'lmfdb_iso': '2912.a', 'p': 71, 'prec': 20, 'unit': 90792239523655892818179846223616991, 'val': 1}
  • id: 94022
    {'lmfdb_iso': '2912.a', 'p': 73, 'prec': 20, 'unit': 236662530293214335934889229293251652, 'val': 1}
  • id: 94016
    {'lmfdb_iso': '2912.a', 'p': 79, 'prec': 20, 'unit': 18029975880264226409932944866939735921, 'val': -1}
  • id: 94009
    {'lmfdb_iso': '2912.a', 'p': 83, 'prec': 20, 'unit': 1876174649529654693177750522880419629, 'val': 1}
  • id: 94024
    {'lmfdb_iso': '2912.a', 'p': 89, 'prec': 20, 'unit': 7536706198123056770760069854528532324, 'val': 1}
  • id: 94008
    {'lmfdb_iso': '2912.a', 'p': 97, 'prec': 20, 'unit': 1580988060586509439149234286239513419, 'val': 1}