Elliptic curve data - 29435.a1

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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': '29435b', 'Clabel': '29435b2', 'Cnumber': 2, 'abc_quality': 0.7931858899019266, 'absD': 17771253820439525, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4060, 'ainvs': [1, 0, 0, -112291, -12995004], 'analytic_rank': 0, 'bad_primes': [5, 7, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 29435, 'degree': 259840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8505194974064084906662260718', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [10793861, 1225], 'lmfdb_iso': '29435.a', 'lmfdb_label': '29435.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -133, -588], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '58.6.0.a.1', '140.6.0.?', '4060.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.67495237508344702972122795247', 'prec': 107}, 'szpiro_ratio': 4.518991542529962, '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, -1, -2, -1, -1, 2, -1, 3, 1, 1, -6, 2, -2, 1, 2, -1, 0, -1, 8, 1], 'aplist': [-1, -2, -1, -1, -6, -2, 0, 8, 4, 0, 0, -2, -2, 0, 6, -6, 4, 2, 8, 8, -4, 14, 12, 18, 16], 'class_deg': 2, 'class_size': 2, 'conductor': 29435, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '29435.a', 'trace_hash': 841760336559296376}
• 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': '0.024697852194611454204219344329', 'prec': 107}, 'conductor': 29435, 'gens': [], 'heights': [], 'lmfdb_label': '29435.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26272984682824593201044926105', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.52545969365649186402089852210369225119', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[-561, 561, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '5': [0, 0], '7': [0, 0], '29': 'a'}, 'iwp0': 3, 'lmfdb_label': '29435.a1'}
• ec_torsion_growth •

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

  
  
  • id: 1474630
    {'degree': 2, 'field': [-7, -1, 1], 'lmfdb_label': '29435.a1', 'torsion': [2, 2]}
  • id: 1474631
    {'degree': 4, 'field': [464, 0, 29, 0, 1], 'lmfdb_label': '29435.a1', 'torsion': [4]}
  • id: 1474632
    {'degree': 8, 'field': [16, 0, -32, 0, -5, 0, -8, 0, 1], 'lmfdb_label': '29435.a1', 'torsion': [2, 4]}
  • id: 1474634
    {'degree': 8, 'field': [81, 0, -108, -87, -33, -29, -12, 0, 1], 'lmfdb_label': '29435.a1', 'torsion': [6]}
  • id: 1474633
    {'degree': 8, 'field': [540989, -51350, 53036, -3402, 1777, -94, 36, -4, 1], 'lmfdb_label': '29435.a1', 'torsion': [2, 4]}
  • id: 1474636
    {'degree': 16, 'field': [-300681, 1330515, -1040553, -511455, 95345, 163668, -10754, -29412, -2345, 5875, -823, 94, -228, 70, 10, -8, 1], 'lmfdb_label': '29435.a1', 'torsion': [2, 6]}
  • id: 1474635
    {'degree': 16, 'field': [29986576, 0, 9900608, 0, 1317465, 0, -495392, 0, 142259, 0, -8768, 0, -405, 0, 32, 0, 1], 'lmfdb_label': '29435.a1', 'torsion': [8]}
• 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: 685146
    {'conductor': 29435, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29435.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 685147
    {'conductor': 29435, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29435.a1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 685148
    {'conductor': 29435, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '29435.a1', 'prime': 29, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

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

  
  
  • id: 1860930
    {'adelic_gens': [[1, 0, 4, 1], [2437, 4, 814, 9], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [4057, 4, 4056, 5], [2901, 4, 1742, 9], [704, 1, 839, 0], [1017, 3046, 3044, 1015]], 'adelic_image': '4060.12.0.?', 'conductor': 29435, 'lmfdb_label': '29435.a1', 'prime': 0}
  • id: 132818
    {'conductor': 29435, 'elladic_image': '2.3.0.1', 'lmfdb_label': '29435.a1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 29435.a does not appear in ec_padic