Elliptic curve data - 7488.w1

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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
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '7488x', 'Clabel': '7488x2', 'Cnumber': 2, 'abc_quality': 1.0626891964834324, 'absD': 23982856676573184, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 2184, 'ainvs': [0, 0, 0, -122508, 18108144], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 7488, 'degree': 37632, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8788214412773573750194778707', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 22, 'isogeny_degrees': [1, 7], 'jinv': [-1064019559329, 125497034], 'lmfdb_iso': '7488.w', 'lmfdb_label': '7488.w1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -213, -1257], 'min_quad_twist_disc': -24, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '104.2.0.?', '168.48.0.?', '728.48.2.?', '1092.48.0.?', '2184.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.38793515554994653157500987428', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 6, 832], [7, 2, 576], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28979452610338456519600707005', 'prec': 103}, 'szpiro_ratio': 5.262480681565009, '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, -1, 0, 1, 0, 0, 0, -2, 0, 1, 0, 0, 0, 3, 0, -6, 0], 'aplist': [0, 0, -1, 1, -2, 1, 3, -6, 4, 2, 4, -3, 0, 5, -13, 12, -10, 8, 2, 5, -10, -4, 0, -6, 14], 'class_deg': 7, 'class_size': 2, 'conductor': 7488, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '7488.w', 'trace_hash': 1191532810423444163}
• 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': '0.023338687618638979437422724591', 'prec': 107}, 'conductor': 7488, 'gens': [[-290, 5408, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.38793515554994653157500987428', 'prec': 103}], 'lmfdb_label': '7488.w1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.36825163254852917181857564641', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0000171219185916860340634072346949418', 'prec': 130}, 'tamagawa_product': 28, 'torsion_generators': [], 'xcoord_integral_points': [-290, 724]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [3, 0], '11': [1, 0], '13': [2, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7488.w1'}
• ec_torsion_growth •

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

  
  
  • id: 393780
    {'degree': 3, 'field': [-2, -1, 0, 1], 'lmfdb_label': '7488.w1', 'torsion': [2]}
  • id: 393782
    {'degree': 6, 'field': [-1512, 0, 504, 0, -42, 0, 1], 'lmfdb_label': '7488.w1', 'torsion': [7]}
  • id: 393781
    {'degree': 6, 'field': [26, 0, 29, 0, 8, 0, 1], 'lmfdb_label': '7488.w1', 'torsion': [2, 2]}
  • id: 393783
    {'degree': 8, 'field': [-432, 0, 54, 0, 0, 0, -6, 0, 1], 'lmfdb_label': '7488.w1', 'torsion': [3]}
  • id: 393784
    {'degree': 12, 'field': [-596, 1966, -4776, 3827, -2111, -28, 424, -66, 6, 6, 0, -5, 1], 'lmfdb_label': '7488.w1', 'torsion': [4]}
  • id: 393785
    {'degree': 14, 'field': [4374, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '7488.w1', 'torsion': [7]}
  • id: 393786
    {'degree': 18, 'field': [-2182193, 856788, 1403682, 55570, 897397, -2018682, 243861, 251676, 43173, -55624, 10428, 4770, -1970, -126, 3, 26, -9, -2, 1], 'lmfdb_label': '7488.w1', 'torsion': [14]}
• 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: 154663
    {'conductor': 7488, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '7488.w1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 154664
    {'conductor': 7488, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '7488.w1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 154665
    {'conductor': 7488, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '7488.w1', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1713622
    {'adelic_gens': [[2171, 14, 2170, 15], [1576, 735, 441, 1450], [1, 14, 0, 1], [727, 0, 0, 2183], [913, 528, 1806, 2017], [1, 0, 14, 1], [8, 5, 91, 57], [1448, 1449, 1827, 734], [736, 735, 903, 1450]], 'adelic_image': '2184.96.2.?', 'conductor': 7488, 'lmfdb_label': '7488.w1', 'prime': 0}
  • id: 36998
    {'conductor': 7488, 'elladic_image': '7.24.0.2', 'lmfdb_label': '7488.w1', 'modell_image': '7B.6.3', 'prime': 7}
• ec_padic •

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

  
  
  • id: 304866
    {'lmfdb_iso': '7488.w', 'p': 5, 'prec': 20, 'unit': 4940287453724, 'val': 1}
  • id: 304867
    {'lmfdb_iso': '7488.w', 'p': 7, 'prec': 20, 'unit': 54986766596430182, 'val': 0}
  • id: 304873
    {'lmfdb_iso': '7488.w', 'p': 11, 'prec': 20, 'unit': 5200451389528201122, 'val': 1}
  • id: 304874
    {'lmfdb_iso': '7488.w', 'p': 17, 'prec': 20, 'unit': 30279109515322497866930, 'val': 1}
  • id: 304875
    {'lmfdb_iso': '7488.w', 'p': 19, 'prec': 20, 'unit': 650628065948551425763306, 'val': 1}
  • id: 304878
    {'lmfdb_iso': '7488.w', 'p': 23, 'prec': 20, 'unit': 49901514933209225909627998, 'val': 1}
  • id: 304871
    {'lmfdb_iso': '7488.w', 'p': 29, 'prec': 20, 'unit': 3947789779794270864704610100, 'val': 1}
  • id: 304868
    {'lmfdb_iso': '7488.w', 'p': 31, 'prec': 20, 'unit': 12387309541204591547066580986, 'val': 1}
  • id: 304883
    {'lmfdb_iso': '7488.w', 'p': 37, 'prec': 20, 'unit': 476655392782642388652746804896, 'val': 1}
  • id: 304870
    {'lmfdb_iso': '7488.w', 'p': 43, 'prec': 20, 'unit': 5767893685938551478463189714453, 'val': 1}
  • id: 304881
    {'lmfdb_iso': '7488.w', 'p': 47, 'prec': 20, 'unit': 55883502160084938554643723203220, 'val': 1}
  • id: 304876
    {'lmfdb_iso': '7488.w', 'p': 53, 'prec': 20, 'unit': 532596777455916438090022912214076, 'val': 1}
  • id: 304877
    {'lmfdb_iso': '7488.w', 'p': 59, 'prec': 20, 'unit': 2998744191849765555738648733079274, 'val': 1}
  • id: 304882
    {'lmfdb_iso': '7488.w', 'p': 61, 'prec': 20, 'unit': 1819203621885472938185600221100216, 'val': 1}
  • id: 304865
    {'lmfdb_iso': '7488.w', 'p': 67, 'prec': 20, 'unit': 31255622867427525238769945522940051, 'val': 1}
  • id: 304880
    {'lmfdb_iso': '7488.w', 'p': 71, 'prec': 20, 'unit': 105774188471558685297719431781482168, 'val': 1}
  • id: 304869
    {'lmfdb_iso': '7488.w', 'p': 73, 'prec': 20, 'unit': 197202541582789472661188338573856331, 'val': 1}
  • id: 304872
    {'lmfdb_iso': '7488.w', 'p': 79, 'prec': 20, 'unit': 909302072678820133751025163698749371, 'val': 1}
  • id: 304879
    {'lmfdb_iso': '7488.w', 'p': 89, 'prec': 20, 'unit': 5339257246442011263237996504372001771, 'val': 1}
  • id: 304864
    {'lmfdb_iso': '7488.w', 'p': 97, 'prec': 20, 'unit': 564943895252521876958921253345722480, 'val': 2}