Elliptic curve data - 2475.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
  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': '2475b', 'Clabel': '2475b1', 'Cnumber': 1, 'abc_quality': 1.136673290939488, 'absD': 2114384765625, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 132, 'ainvs': [1, -1, 1, -1055, -70928], 'analytic_rank': 1, 'bad_primes': [3, 5, 11], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 2475, 'degree': 2880, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0462443738655062679142877919', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-675, 11], 'lmfdb_iso': '2475.d', 'lmfdb_label': '2475.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -5, 22], 'min_quad_twist_disc': -15, 'modell_images': [], 'modm_images': ['132.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.1145811381064024576069299152', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1189131029973263127994455801', 'prec': 103}, 'szpiro_ratio': 4.590404424603699, '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, 0, -1, 0, 0, 3, 3, 0, 0, -1, 0, -2, -3, 0, -1, -3, 0, -1, 0], 'aplist': [-1, 0, 0, 3, -1, -2, -3, -1, -1, -6, 4, -1, 5, -4, -3, -10, -11, 14, -2, 5, -2, 5, -8, 10, 17], 'class_deg': 1, 'class_size': 1, 'conductor': 2475, 'isogeny_matrix': [[1]], 'lmfdb_iso': '2475.d', 'trace_hash': 866718538947574653}
• 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': '0.12337969247198644957144805477', 'prec': 103}, 'conductor': 2475, 'gens': [[88, 671, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.1145811381064024576069299152', 'prec': 100}], 'lmfdb_label': '2475.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.35422743127834374976320691123', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2065401521188226802649637255653940660', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [88]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [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': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2475.d1'}
• ec_torsion_growth •

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

  
  
  • id: 127164
    {'degree': 3, 'field': [12, 12, -1, 1], 'lmfdb_label': '2475.d1', 'torsion': [2]}
  • id: 127165
    {'degree': 6, 'field': [528, 0, -8, 0, 1, 0, 1], 'lmfdb_label': '2475.d1', 'torsion': [2, 2]}
  • id: 127166
    {'degree': 8, 'field': [1, -4, 4, -1, -5, -1, 4, -4, 1], 'lmfdb_label': '2475.d1', 'torsion': [3]}
  • id: 127167
    {'degree': 12, 'field': [-59804, -41806, 4786, -29120, 16150, -2491, 2381, 359, -125, -125, -29, -1, 1], 'lmfdb_label': '2475.d1', '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: 42468
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2475.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 42469
    {'conductor': 2475, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '2475.d1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 42470
    {'conductor': 2475, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2475.d1', 'prime': 11, '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': [[89, 2, 89, 3], [1, 2, 0, 1], [67, 2, 67, 3], [1, 0, 2, 1], [131, 2, 130, 3], [13, 2, 13, 3], [1, 1, 131, 0]], 'adelic_image': '132.2.0.?', 'conductor': 2475, 'lmfdb_label': '2475.d1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 76389
    {'lmfdb_iso': '2475.d', 'p': 7, 'prec': 20, 'unit': 10218314661135998, 'val': 1}
  • id: 76393
    {'lmfdb_iso': '2475.d', 'p': 13, 'prec': 20, 'unit': 967543170154350141663, 'val': 1}
  • id: 76395
    {'lmfdb_iso': '2475.d', 'p': 17, 'prec': 20, 'unit': 181745942695543465573872, 'val': 1}
  • id: 76396
    {'lmfdb_iso': '2475.d', 'p': 19, 'prec': 20, 'unit': 1329353295565011042172036, 'val': 1}
  • id: 76400
    {'lmfdb_iso': '2475.d', 'p': 23, 'prec': 20, 'unit': 44495410492776828358704630, 'val': 1}
  • id: 76392
    {'lmfdb_iso': '2475.d', 'p': 29, 'prec': 20, 'unit': 4123219748118257490046572776, 'val': 1}
  • id: 76405
    {'lmfdb_iso': '2475.d', 'p': 31, 'prec': 20, 'unit': 14926015381395650871285307546, 'val': 1}
  • id: 76388
    {'lmfdb_iso': '2475.d', 'p': 37, 'prec': 20, 'unit': 116016255772691181143972770181, 'val': 1}
  • id: 76390
    {'lmfdb_iso': '2475.d', 'p': 41, 'prec': 20, 'unit': 4053937212955837792260116624206, 'val': 1}
  • id: 76391
    {'lmfdb_iso': '2475.d', 'p': 43, 'prec': 20, 'unit': 6692577578165852071498233904355, 'val': 1}
  • id: 76403
    {'lmfdb_iso': '2475.d', 'p': 47, 'prec': 20, 'unit': 56835113860952346436822162045723, 'val': 1}
  • id: 76397
    {'lmfdb_iso': '2475.d', 'p': 53, 'prec': 20, 'unit': 233641107340768928588122869335523, 'val': 1}
  • id: 76398
    {'lmfdb_iso': '2475.d', 'p': 59, 'prec': 20, 'unit': 3491556133465705702389825050768329, 'val': 1}
  • id: 76404
    {'lmfdb_iso': '2475.d', 'p': 61, 'prec': 20, 'unit': 4027372208331799921471531180726337, 'val': 1}
  • id: 76387
    {'lmfdb_iso': '2475.d', 'p': 67, 'prec': 20, 'unit': 42153435634795243956653424331836678, 'val': 1}
  • id: 76402
    {'lmfdb_iso': '2475.d', 'p': 71, 'prec': 20, 'unit': 51294346865615039085031903906817198, 'val': 1}
  • id: 76399
    {'lmfdb_iso': '2475.d', 'p': 73, 'prec': 20, 'unit': 222781217617190375046191264365944413, 'val': 1}
  • id: 76394
    {'lmfdb_iso': '2475.d', 'p': 79, 'prec': 20, 'unit': 1020201592724784258661520226465756742, 'val': 1}
  • id: 76386
    {'lmfdb_iso': '2475.d', 'p': 83, 'prec': 20, 'unit': 123950732470207450652790874501105924, 'val': 1}
  • id: 76401
    {'lmfdb_iso': '2475.d', 'p': 89, 'prec': 20, 'unit': 7177333531848369513297014554900953377, 'val': 1}
  • id: 76385
    {'lmfdb_iso': '2475.d', 'p': 97, 'prec': 20, 'unit': 13356647217918463591553657739421321268, 'val': 1}