Elliptic curve data - 422730.s3

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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': '422730s', 'Clabel': '422730s4', 'Cnumber': 4, 'abc_quality': 1.0144868190142529, 'absD': 9154156647118293115240320, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 51240, 'ainvs': [1, -1, 0, -27074850, 155346706196], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11, 61], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 422730, 'degree': 142213120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4748469011179621582379826760', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2, 4], 'jinv': [-3010886403566634803117601, 12557142177117000158080], 'lmfdb_iso': '422730.s', 'lmfdb_label': '422730.s3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -3008317, -5752578939], 'min_quad_twist_disc': -3, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.3', '56.12.0.y.1', '168.24.0.?', '2440.12.0.?', '3660.12.0.?', '7320.24.0.?', '17080.24.0.?', '51240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 16, 'sha_primes': [2], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.9255407567839073125403600575', 'prec': 100}, 'szpiro_ratio': 5.022267505246248, '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, -1, 0, 1, -1, 0, 1, -1, 0, 6, -1, 0, 1, -2, 0, 4, -1], 'aplist': [-1, 0, -1, 1, -1, 6, -2, 4, -8, 6, 8, -10, 6, -4, 0, -14, -8, 1, 12, 12, -2, -4, -8, -14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 422730, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '422730.s', 'trace_hash': 172760279996810206}
• 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': '0.00095892873057864458609525477506', 'prec': 113}, 'conductor': 422730, 'gens': [], 'heights': [], 'lmfdb_label': '422730.s3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.063635546189962507377375577610', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0181687390394001180380092417588938615', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-28061, 28061, 2]], 'xcoord_integral_points': []}
• lmfdb_label 422730.s3 does not appear in ec_iwasawa
• lmfdb_label 422730.s3 does not appear in ec_torsion_growth
• 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: 10442293
    {'conductor': 422730, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '422730.s3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10442294
    {'conductor': 422730, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '422730.s3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 10442295
    {'conductor': 422730, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422730.s3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10442296
    {'conductor': 422730, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422730.s3', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10442297
    {'conductor': 422730, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '422730.s3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10442298
    {'conductor': 422730, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422730.s3', 'prime': 61, '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: 4276278
    {'adelic_gens': [[23488, 49113, 27747, 10654], [34159, 0, 0, 51239], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [21964, 34161, 2463, 17086], [44416, 3, 17085, 34162], [7, 6, 51234, 51235], [27763, 27756, 10722, 36301], [19048, 3, 20445, 34162], [51233, 8, 51232, 9]], 'adelic_image': '51240.48.0.?', 'conductor': 422730, 'lmfdb_label': '422730.s3', 'prime': 0}
  • id: 1425786
    {'conductor': 422730, 'elladic_image': '4.6.0.1', 'lmfdb_label': '422730.s3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 422730.s does not appear in ec_padic