Elliptic curve data - 457776.fg1

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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': '457776fg', 'Clabel': '457776fg3', 'Cnumber': 3, 'abc_quality': 1.0294913049284855, 'absD': 22745373206149456942399930368, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4488, 'ainvs': [0, 0, 0, -20139627099, 1100058556561418], 'analytic_rank': 1, 'bad_primes': [2, 3, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 457776, 'degree': 849346560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.5493259860627980151456652050', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2, 4], 'jinv': [12534210458299016895673, 315581882565708], 'lmfdb_iso': '457776.fg', 'lmfdb_label': '457776.fg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -483939, 129374577], 'min_quad_twist_disc': 204, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '88.12.0.?', '136.12.0.?', '264.24.0.?', '408.24.0.?', '748.12.0.?', '1496.24.0.?', '2244.24.0.?', '4488.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '101.55082162832109612154139012', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 28611], [3, 8, 4624], [11, 12, 41616], [17, 162, 1584]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8902659891406898199060431561', 'prec': 100}, 'szpiro_ratio': 6.3518957724474365, '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, 2, 0, 4, 0, 0, 0, -1, 0, 6, 0, 0, 0, 0, 0, -4, 0], 'aplist': [0, 0, 2, 4, -1, 6, 0, -4, 0, 2, 0, 10, -10, 4, 4, 2, 0, -2, -12, 0, 10, 4, -12, 14, -18], 'class_deg': 4, 'class_size': 4, 'conductor': 457776, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '457776.fg', 'trace_hash': 1013798571076718445}
• 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': '0.00011181643861657170051181465828', 'prec': 113}, 'conductor': 457776, 'gens': [[4326114833561395286331809996503529372286261479, 284482249725170774083595938234610675820040087378184014470735481195058, 25090510576607299955]], 'heights': [{'__RealLiteral__': 0, 'data': '101.55082162832109612154139012', 'prec': 100}], 'lmfdb_label': '457776.fg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.035292164314550546999151435406', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.335793132737286641531446871920882648', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[82246, 0, 1]], 'xcoord_integral_points': [82246]}
• lmfdb_label 457776.fg1 does not appear in ec_iwasawa
• lmfdb_label 457776.fg1 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: 11292259
    {'conductor': 457776, 'conductor_valuation': 4, 'discriminant_valuation': 14, 'j_denominator_valuation': 2, 'kodaira_symbol': -10, 'lmfdb_label': '457776.fg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11292260
    {'conductor': 457776, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '457776.fg1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11292261
    {'conductor': 457776, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '457776.fg1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11292262
    {'conductor': 457776, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '457776.fg1', 'prime': 17, '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: 4479022
    {'adelic_gens': [[7, 6, 4482, 4483], [260, 4487, 2617, 4482], [3272, 3, 2045, 2], [1, 0, 8, 1], [1495, 4480, 1492, 4455], [560, 2797, 557, 528], [4481, 8, 4480, 9], [3931, 3930, 2818, 571], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '4488.48.0.?', 'conductor': 457776, 'lmfdb_label': '457776.fg1', 'prime': 0}
  • id: 1527178
    {'conductor': 457776, 'elladic_image': '4.6.0.1', 'lmfdb_label': '457776.fg1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 457776.fg does not appear in ec_padic