Elliptic curve data - 12502.b1

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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': '12502b', 'Clabel': '12502b1', 'Cnumber': 1, 'abc_quality': 0.7362290974450356, 'absD': 100016, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 12502, 'ainvs': [1, 0, 1, -10, -20], 'analytic_rank': 1, 'bad_primes': [2, 7, 19, 47], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 12502, 'degree': 1536, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.34537260974169024075278587682', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-95443993, 100016], 'lmfdb_iso': '12502.b', 'lmfdb_label': '12502.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -10, -20], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['12502.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2660980610244372949735980199', 'prec': 100}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34537260974169024075278587682', 'prec': 107}, 'szpiro_ratio': 2.057265548191874, '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, -1, 1, 1, -3, -1, 1, -1, -2, 3, 0, 1, 4, -1, -3, 1, 4, 2, -1, -3], 'aplist': [-1, 1, -3, 1, 0, 4, 4, -1, -8, 5, -2, 4, -2, -12, 1, 4, 12, 12, 3, -6, 5, 14, -10, -15, -14], 'class_deg': 1, 'class_size': 1, 'conductor': 12502, 'isogeny_matrix': [[1]], 'lmfdb_iso': '12502.b', 'trace_hash': 2073723812007265325}
• 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': '1.9952018426473511588665017123', 'prec': 100}, 'conductor': 12502, 'gens': [[5, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2660980610244372949735980199', 'prec': 100}], 'lmfdb_label': '12502.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.3045184325462759107484761209', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3032965160349562502085675025343593778', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [5]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [3, 0], '5': [1, 0], '7': [4, 0], '11': [1, 1, 0], '13': [1, 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': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '12502.b1'}
• ec_torsion_growth •

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

  
  
  • id: 646188
    {'degree': 3, 'field': [-28, 14, -1, 1], 'lmfdb_label': '12502.b1', 'torsion': [2]}
  • id: 646189
    {'degree': 6, 'field': [6332, 6530, 1803, -18, -31, 0, 1], 'lmfdb_label': '12502.b1', 'torsion': [2, 2]}
  • id: 646190
    {'degree': 8, 'field': [-2970, 2133, -2304, 341, -167, -7, 7, -4, 1], 'lmfdb_label': '12502.b1', 'torsion': [3]}
  • id: 646191
    {'degree': 12, 'field': [-9632, -17472, -41128, -19616, -24102, 31306, -16805, 3784, -515, -46, 21, -4, 1], 'lmfdb_label': '12502.b1', '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: 271017
    {'conductor': 12502, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '12502.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 271018
    {'conductor': 12502, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12502.b1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 271019
    {'conductor': 12502, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12502.b1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 271020
    {'conductor': 12502, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12502.b1', 'prime': 47, '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': [[5265, 2, 5265, 3], [1, 1, 12501, 0], [12501, 2, 12500, 3], [1, 0, 2, 1], [1, 2, 0, 1], [3573, 2, 3573, 3], [9311, 2, 9311, 3]], 'adelic_image': '12502.2.0.?', 'conductor': 12502, 'lmfdb_label': '12502.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 547578
    {'lmfdb_iso': '12502.b', 'p': 5, 'prec': 20, 'unit': 11920230754031, 'val': 1}
  • id: 547584
    {'lmfdb_iso': '12502.b', 'p': 13, 'prec': 20, 'unit': 168619235419130175859, 'val': 1}
  • id: 547586
    {'lmfdb_iso': '12502.b', 'p': 17, 'prec': 20, 'unit': 145035276635562592934395, 'val': 1}
  • id: 547590
    {'lmfdb_iso': '12502.b', 'p': 23, 'prec': 20, 'unit': 53469571318727139612285499, 'val': 1}
  • id: 547583
    {'lmfdb_iso': '12502.b', 'p': 29, 'prec': 20, 'unit': 5652497885794252255022466742, 'val': 1}
  • id: 547580
    {'lmfdb_iso': '12502.b', 'p': 31, 'prec': 20, 'unit': 3251539534551162459032628217, 'val': 1}
  • id: 547594
    {'lmfdb_iso': '12502.b', 'p': 37, 'prec': 20, 'unit': 131955218945319886085424772216, 'val': 1}
  • id: 547581
    {'lmfdb_iso': '12502.b', 'p': 41, 'prec': 20, 'unit': 1339520147047312901280461707777, 'val': 1}
  • id: 547582
    {'lmfdb_iso': '12502.b', 'p': 43, 'prec': 20, 'unit': 330228178558903226661205722857, 'val': 1}
  • id: 547588
    {'lmfdb_iso': '12502.b', 'p': 53, 'prec': 20, 'unit': 337038947991593940260953731752939, 'val': 1}
  • id: 547592
    {'lmfdb_iso': '12502.b', 'p': 59, 'prec': 20, 'unit': 1112975234639973806548587426095627, 'val': 1}
  • id: 547593
    {'lmfdb_iso': '12502.b', 'p': 61, 'prec': 20, 'unit': 5260200611862417731929349543425800, 'val': 1}
  • id: 547577
    {'lmfdb_iso': '12502.b', 'p': 67, 'prec': 20, 'unit': 49534472756775655337551976981147275, 'val': 1}
  • id: 547579
    {'lmfdb_iso': '12502.b', 'p': 71, 'prec': 20, 'unit': 34595499320483316003435303919966206, 'val': 1}
  • id: 547589
    {'lmfdb_iso': '12502.b', 'p': 73, 'prec': 20, 'unit': 60551672748097321750661159629372850, 'val': 1}
  • id: 547585
    {'lmfdb_iso': '12502.b', 'p': 79, 'prec': 20, 'unit': 570929435005824758356955209256950028, 'val': 1}
  • id: 547587
    {'lmfdb_iso': '12502.b', 'p': 83, 'prec': 20, 'unit': 2109384571435378314575055617500145132, 'val': 1}
  • id: 547591
    {'lmfdb_iso': '12502.b', 'p': 89, 'prec': 20, 'unit': 8069040748394306896893035454749920696, 'val': 1}
  • id: 547576
    {'lmfdb_iso': '12502.b', 'p': 97, 'prec': 20, 'unit': 10365409598348015095753361071385379763, 'val': 1}