Elliptic curve data - 46.a2

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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': '46a', 'Clabel': '46a1', 'Cnumber': 1, 'abc_quality': 1.0342185338851655, 'absD': 23552, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 184, 'ainvs': [1, -1, 0, -10, -12], 'analytic_rank': 0, 'bad_primes': [2, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 46, 'degree': 5, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101087', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [-116930169, 23552], 'lmfdb_iso': '46.a', 'lmfdb_label': '46.a2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -10, -12], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '46.6.0.a.1', '184.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 2, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 23], [5, 2, 23], [23, 24, 2]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.43848206462462840707965101087', 'prec': 107}, 'szpiro_ratio': 4.930142729087303, '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, 0, 1, 4, 0, -4, -1, -3, -4, 2, 0, -2, 4, 0, 1, -2, 3, -2, 4], 'aplist': [-1, 0, 4, -4, 2, -2, -2, -2, 1, 2, 0, -4, 6, 10, 0, -4, 12, -8, -10, 0, 6, -12, 14, -6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 46, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '46.a', 'trace_hash': 753733786167000906}
• 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': '2.4035916253232578552325756360', 'prec': 100}, 'conductor': 46, 'gens': [], 'heights': [], 'lmfdb_label': '46.a2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.3218082226479437027794865678', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.66090411132397185138974328389486863691', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[4, -2, 1]], 'xcoord_integral_points': [4]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [0, 0], '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '46.a2'}
• ec_torsion_growth •

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

  
  
  • id: 1499
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '46.a2', 'torsion': [2, 2]}
  • id: 1500
    {'degree': 4, 'field': [-1, -2, 3, -2, 1], 'lmfdb_label': '46.a2', 'torsion': [4]}
  • id: 1503
    {'degree': 8, 'field': [-2, 5, -2, -7, 7, -7, 7, -4, 1], 'lmfdb_label': '46.a2', 'torsion': [6]}
  • id: 1501
    {'degree': 8, 'field': [26, 10, 27, 40, 6, 10, 6, -2, 1], 'lmfdb_label': '46.a2', 'torsion': [2, 4]}
  • id: 1502
    {'degree': 8, 'field': [36, 24, 86, 104, 43, -4, -6, 0, 1], 'lmfdb_label': '46.a2', 'torsion': [2, 4]}
  • id: 1504
    {'degree': 16, 'field': [-92, -736, -736, 2944, -1500, -224, -200, 912, -763, 152, 68, 8, -26, -8, 20, -8, 1], 'lmfdb_label': '46.a2', 'torsion': [8]}
  • id: 1505
    {'degree': 16, 'field': [51822, 70695, 64062, 39447, 20055, 9717, 3687, 570, 853, -535, 388, -241, 121, -49, 19, -4, 1], 'lmfdb_label': '46.a2', '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: 211
    {'conductor': 46, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '46.a2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 212
    {'conductor': 46, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '46.a2', 'prime': 23, '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: 1665987
    {'adelic_gens': [[1, 2, 2, 5], [25, 162, 160, 23], [10, 1, 87, 0], [3, 4, 8, 11], [93, 4, 2, 9], [181, 4, 180, 5], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '184.12.0.?', 'conductor': 46, 'lmfdb_label': '46.a2', 'prime': 0}
  • id: 125
    {'conductor': 46, 'elladic_image': '8.6.0.1', 'lmfdb_label': '46.a2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 46.a does not appear in ec_padic