Elliptic curve data - 392784.o1

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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': '392784o', 'Clabel': '392784o1', 'Cnumber': 1, 'abc_quality': 0.9894916013776449, 'absD': 3752706611717535480938496, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 28056, 'ainvs': [0, -1, 0, -277404696, -1775819982096], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 167], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 392784, 'degree': 130056192, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.6132227119441660448248298918', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 14, 'isogeny_degrees': [1], 'jinv': [4899107302599545932681, 7787470676557824], 'lmfdb_iso': '392784.o', 'lmfdb_label': '392784.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -353832, -81047232], 'min_quad_twist_disc': 28, 'modell_images': [], 'modm_images': ['28056.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '17.662551266381018875109078381', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9471204568565640828549213986', 'prec': 100}, 'szpiro_ratio': 5.429429773971862, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 0, -1, 0, 0, 0, 1, 0, -2, 0, -6, 0, 1, 0, 8, 0, -4, 0], 'aplist': [0, -1, -1, 0, -2, -6, 8, -4, -2, 9, 5, -11, 8, 6, 10, 14, 12, 5, -10, -6, -7, 1, -18, -9, 2], 'class_deg': 1, 'class_size': 1, 'conductor': 392784, 'isogeny_matrix': [[1]], 'lmfdb_iso': '392784.o', 'trace_hash': 515547547276382971}
• 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': '0.00072710081029518323900708213413', 'prec': 113}, 'conductor': 392784, 'gens': [[-114266108308, 548384128065536, 3499]], 'heights': [{'__RealLiteral__': 0, 'data': '17.662551266381018875109078381', 'prec': 100}], 'lmfdb_label': '392784.o1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.036996663933246149258905054714', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.2276437872482379228570599600638852363', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 392784.o1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 16227313
    {'degree': 3, 'field': [88, -40, -1, 1], 'lmfdb_label': '392784.o1', 'torsion': [2]}
  • id: 16227314
    {'degree': 6, 'field': [3376, -3728, 50, 856, -175, -2, 1], 'lmfdb_label': '392784.o1', 'torsion': [2, 2]}
  • id: 16227315
    {'degree': 8, 'field': [-47628, 0, -11375, 0, -756, 0, 0, 0, 1], 'lmfdb_label': '392784.o1', 'torsion': [3]}
  • id: 16227316
    {'degree': 12, 'field': [16160256, 0, -164694004, 0, -19119615, 0, -729380, 0, -11290, 0, 0, 0, 1], 'lmfdb_label': '392784.o1', 'torsion': [4]}
• 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: 9717906
    {'conductor': 392784, 'conductor_valuation': 4, 'discriminant_valuation': 33, 'j_denominator_valuation': 21, 'kodaira_symbol': -29, 'lmfdb_label': '392784.o1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9717907
    {'conductor': 392784, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '392784.o1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9717908
    {'conductor': 392784, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '392784.o1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9717909
    {'conductor': 392784, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '392784.o1', 'prime': 167, '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

  
  {'adelic_gens': [[1, 1, 28055, 0], [7015, 2, 7015, 3], [28055, 2, 28054, 3], [1, 0, 2, 1], [1, 2, 0, 1], [9353, 2, 9353, 3], [16033, 2, 16033, 3], [14029, 2, 14029, 3], [673, 2, 673, 3]], 'adelic_image': '28056.2.0.?', 'conductor': 392784, 'lmfdb_label': '392784.o1', 'prime': 0}
• lmfdb_iso 392784.o does not appear in ec_padic