Elliptic curve data - 608.d1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '608e', 'Clabel': '608e1', 'Cnumber': 1, 'absD': 10142101504, 'adelic_genus': 3, 'adelic_index': 60, 'adelic_level': 380, 'ainvs': [0, 0, 0, -56, -4848], 'analytic_rank': 1, 'bad_primes': [2, 19], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 608, 'degree': 480, 'elladic_images': ['5.15.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.59909178968733212167691722989', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-4741632, 2476099], 'lmfdb_iso': '608.d', 'lmfdb_label': '608.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -56, -4848], 'min_quad_twist_disc': 1, 'modell_images': ['5Ns'], 'modm_images': ['5.15.0.a.1', '20.30.0.a.1', '38.2.0.a.1', '190.30.2.?', '380.60.3.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.36129836791370909089953240111', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.094055390872613187740314891568', 'prec': 110}, '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, 3, 0, -5, 0, -3, 0, -5, 0, -4, 0, 0, 0, -3, 0, 1, 0], 'aplist': [0, 0, 3, -5, -5, -4, -3, 1, 0, 0, 10, 8, 0, -5, 5, -6, -10, -5, -10, 10, -11, -10, 0, -10, -12], 'class_deg': 1, 'class_size': 1, 'conductor': 608, 'isogeny_matrix': [[1]], 'lmfdb_iso': '608.d', 'trace_hash': 1238022381858932151}
• 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': '0.30174180446959910717355382820', 'prec': 103}, 'conductor': 608, 'gens': [[128, 1444, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.36129836791370909089953240111', 'prec': 103}], 'lmfdb_label': '608.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57855707796170018302706185933', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0903172801248682640915353318983030209', 'prec': 130}, 'tamagawa_product': 10, 'torsion_generators': [], 'xcoord_integral_points': [33, 128]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '608.d1'}
• ec_torsion_growth •

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

  
  
  • id: 27815
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '608.d1', 'torsion': [2]}
  • id: 27816
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '608.d1', 'torsion': [2, 2]}
  • id: 27817
    {'degree': 8, 'field': [-867, 0, -552, 0, -102, 0, 0, 0, 1], 'lmfdb_label': '608.d1', 'torsion': [3]}
  • id: 27818
    {'degree': 8, 'field': [5, 0, 0, 0, -2, 0, 0, 0, 1], 'lmfdb_label': '608.d1', 'torsion': [5]}
  • id: 27819
    {'degree': 12, 'field': [-276, 464, -640, 664, -556, 440, -260, 120, -42, 0, 8, -4, 1], 'lmfdb_label': '608.d1', 'torsion': [4]}
  • id: 27820
    {'degree': 16, 'field': [1, 0, 0, 0, 18, 0, 0, 0, -41, 0, 0, 0, 2, 0, 0, 0, 1], 'lmfdb_label': '608.d1', 'torsion': [5]}
• 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: 7206
    {'conductor': 608, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '608.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7207
    {'conductor': 608, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '608.d1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

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

  
  
  • id: 1668612
    {'adelic_gens': [[197, 10, 86, 123], [1, 0, 10, 1], [21, 10, 105, 51], [1, 10, 0, 1], [2, 7, 355, 293], [191, 352, 0, 267], [371, 10, 370, 11]], 'adelic_image': '380.60.3.?', 'conductor': 608, 'lmfdb_label': '608.d1', 'prime': 0}
  • id: 2723
    {'conductor': 608, 'elladic_image': '5.15.0.1', 'lmfdb_label': '608.d1', 'modell_image': '5Ns', 'prime': 5}
• ec_padic •

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

  
  
  • id: 10342
    {'lmfdb_iso': '608.d', 'p': 5, 'prec': 20, 'unit': 53853825630594, 'val': 0}
  • id: 10343
    {'lmfdb_iso': '608.d', 'p': 7, 'prec': 20, 'unit': 3362781261010452, 'val': 1}
  • id: 10341
    {'lmfdb_iso': '608.d', 'p': 11, 'prec': 20, 'unit': 1962644926792906552, 'val': 2}
  • id: 10347
    {'lmfdb_iso': '608.d', 'p': 13, 'prec': 20, 'unit': 246660057252349084763, 'val': 1}
  • id: 10349
    {'lmfdb_iso': '608.d', 'p': 17, 'prec': 20, 'unit': 188521794792637499053447, 'val': 1}
  • id: 10344
    {'lmfdb_iso': '608.d', 'p': 31, 'prec': 20, 'unit': 531364683768098402385480336, 'val': 2}
  • id: 10357
    {'lmfdb_iso': '608.d', 'p': 37, 'prec': 20, 'unit': 285312098099927246668972711924, 'val': 1}
  • id: 10346
    {'lmfdb_iso': '608.d', 'p': 43, 'prec': 20, 'unit': 2371229156078999521128668923821, 'val': 1}
  • id: 10355
    {'lmfdb_iso': '608.d', 'p': 47, 'prec': 20, 'unit': 36879155712465771964618324055700, 'val': 1}
  • id: 10351
    {'lmfdb_iso': '608.d', 'p': 53, 'prec': 20, 'unit': 101787979898140805213298338971696, 'val': 1}
  • id: 10352
    {'lmfdb_iso': '608.d', 'p': 59, 'prec': 20, 'unit': 13024703710583262312254638156665, 'val': 2}
  • id: 10356
    {'lmfdb_iso': '608.d', 'p': 61, 'prec': 20, 'unit': 6089561353099756140321185495051659, 'val': 1}
  • id: 10350
    {'lmfdb_iso': '608.d', 'p': 67, 'prec': 20, 'unit': 4657673330862773308021614517997349, 'val': 1}
  • id: 10354
    {'lmfdb_iso': '608.d', 'p': 71, 'prec': 20, 'unit': 76562287015662775581459484293545504, 'val': 1}
  • id: 10345
    {'lmfdb_iso': '608.d', 'p': 73, 'prec': 20, 'unit': 4798761571607018095076730344889213, 'val': 1}
  • id: 10348
    {'lmfdb_iso': '608.d', 'p': 79, 'prec': 20, 'unit': 521789056170546831272462649246090783, 'val': 1}
  • id: 10353
    {'lmfdb_iso': '608.d', 'p': 89, 'prec': 20, 'unit': 807264376185917207544735021588245613, 'val': 1}
  • id: 10340
    {'lmfdb_iso': '608.d', 'p': 97, 'prec': 20, 'unit': 51233979585933972530356662256367533993, 'val': 1}