Elliptic curve data - 608.e1

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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': '608b', 'Clabel': '608b1', 'Cnumber': 1, 'absD': 10142101504, 'adelic_genus': 3, 'adelic_index': 60, 'adelic_level': 380, 'ainvs': [0, 0, 0, -56, 4848], 'analytic_rank': 0, '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': 4, 'isogeny_degrees': [1], 'jinv': [-4741632, 2476099], 'lmfdb_iso': '608.e', 'lmfdb_label': '608.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -56, -4848], 'min_quad_twist_disc': -4, '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': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, '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.e', 'trace_hash': 2215873939790679452}
• 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': [], 'heights': [], 'lmfdb_label': '608.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0430839616815614157379968644', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0861679233631228314759937288857203875', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '608.e1'}
• ec_torsion_growth •

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

  
  
  • id: 27801
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '608.e1', 'torsion': [2]}
  • id: 27802
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '608.e1', 'torsion': [2, 2]}
  • id: 27803
    {'degree': 8, 'field': [-867, 0, 552, 0, -102, 0, 0, 0, 1], 'lmfdb_label': '608.e1', 'torsion': [3]}
  • id: 27804
    {'degree': 8, 'field': [5, 0, 0, 0, -2, 0, 0, 0, 1], 'lmfdb_label': '608.e1', 'torsion': [5]}
  • id: 27805
    {'degree': 12, 'field': [-24, -16, -80, 272, 124, 16, -112, 16, 14, -4, 4, -4, 1], 'lmfdb_label': '608.e1', 'torsion': [4]}
  • id: 27806
    {'degree': 16, 'field': [1, 0, 0, 0, 18, 0, 0, 0, -41, 0, 0, 0, 2, 0, 0, 0, 1], 'lmfdb_label': '608.e1', '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: 7200
    {'conductor': 608, 'conductor_valuation': 5, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '608.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7201
    {'conductor': 608, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '608.e1', 'prime': 19, '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

  
  
  • id: 1668613
    {'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.e1', 'prime': 0}
  • id: 2724
    {'conductor': 608, 'elladic_image': '5.15.0.1', 'lmfdb_label': '608.e1', 'modell_image': '5Ns', 'prime': 5}
• lmfdb_iso 608.e does not appear in ec_padic