Elliptic curve data - 7488.e1

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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': '7488cd', 'Clabel': '7488cd2', 'Cnumber': 2, 'abc_quality': 0.9036561668018798, 'absD': 113192681472, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, -2172, 35440], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 7488, 'degree': 12288, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85741253339904969763279928058', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [94875856, 9477], 'lmfdb_iso': '7488.e', 'lmfdb_label': '7488.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -60, 144], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 117], [3, 6, 832], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50056532158827467571826081292', 'prec': 107}, 'szpiro_ratio': 3.885617366342613, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, -4, 0, 4, 0, 0, 0, 2, 0, 1, 0, 0, 0, 6, 0, 4, 0], 'aplist': [0, 0, -4, 4, 2, 1, 6, 4, 4, -6, -8, 10, 4, -4, -6, 6, 6, 6, 0, 10, -2, 0, 10, -8, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 7488, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '7488.e', 'trace_hash': 1740952133345894701}
• 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': '0.17999520509675420339384615076', 'prec': 103}, 'conductor': 7488, 'gens': [], 'heights': [], 'lmfdb_label': '7488.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0229425246296246627883052435', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0458850492592493255766104870400293983', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[20, 0, 1]], 'xcoord_integral_points': [20]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '7488.e1'}
• ec_torsion_growth •

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

  
  
  • id: 394429
    {'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '7488.e1', 'torsion': [2, 2]}
  • id: 394430
    {'degree': 4, 'field': [52, 0, -14, 0, 1], 'lmfdb_label': '7488.e1', 'torsion': [4]}
  • id: 394433
    {'degree': 8, 'field': [-3, 0, 0, 0, 6, 0, 2, 0, 1], 'lmfdb_label': '7488.e1', 'torsion': [6]}
  • id: 394432
    {'degree': 8, 'field': [81, 0, 672, 0, -245, 0, 14, 0, 1], 'lmfdb_label': '7488.e1', 'torsion': [2, 4]}
  • id: 394431
    {'degree': 8, 'field': [144, 0, 24, 0, 16, 0, -2, 0, 1], 'lmfdb_label': '7488.e1', 'torsion': [2, 4]}
  • id: 394434
    {'degree': 16, 'field': [1369, 0, 910, 0, 169, 0, 538, 0, 712, 0, 388, 0, 109, 0, 16, 0, 1], 'lmfdb_label': '7488.e1', 'torsion': [8]}
  • id: 394435
    {'degree': 16, 'field': [40599, 63492, -43536, -30168, -5556, 15528, 6906, -4360, -5029, 2092, 1302, -616, -140, 84, 8, -8, 1], 'lmfdb_label': '7488.e1', 'torsion': [2, 6]}
• 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: 154882
    {'conductor': 7488, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -8, 'lmfdb_label': '7488.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 154883
    {'conductor': 7488, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '7488.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 154884
    {'conductor': 7488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7488.e1', 'prime': 13, '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: 1713577
    {'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 7488, 'lmfdb_label': '7488.e1', 'prime': 0}
  • id: 36954
    {'conductor': 7488, 'elladic_image': '2.3.0.1', 'lmfdb_label': '7488.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7488.e does not appear in ec_padic