Elliptic curve data - 382200.er1

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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': '382200er', 'Clabel': '382200er1', 'Cnumber': 1, 'abc_quality': 0.8499228947711973, 'absD': 34398000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 390, 'ainvs': [0, -1, 0, 7992, -65988], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 382200, 'degree': 1078272, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2866200075746423115758187366', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 121, 'isogeny_degrees': [1], 'jinv': [71997884, 43875], 'lmfdb_iso': '382200.er', 'lmfdb_label': '382200.er1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, 320, -400], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['390.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.1144817572305927642767384335', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.42003995728491451775647982180', 'prec': 107}, 'szpiro_ratio': 3.0008533678394147, '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, 0, 0, 0, 0, 1, 0, 5, 0, -1, 0, 0, 0, 1, 0, -6, 0], 'aplist': [0, -1, 0, 0, 5, -1, 1, -6, -3, -6, -4, 11, -9, -6, -4, 6, 9, -10, 3, 8, -1, 15, -8, 1, 5], 'class_deg': 1, 'class_size': 1, 'conductor': 382200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '382200.er', 'trace_hash': 312868993607397981}
• 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': '0.076287970387294508073751734988', 'prec': 107}, 'conductor': 382200, 'gens': [[77, 1000, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1144817572305927642767384335', 'prec': 100}], 'lmfdb_label': '382200.er1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37908953608587745930936171452', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.4126232672847710166526722701331548337', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [77]}
• lmfdb_label 382200.er1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15822963
    {'degree': 3, 'field': [-20, 5, -1, 1], 'lmfdb_label': '382200.er1', 'torsion': [2]}
  • id: 15822964
    {'degree': 6, 'field': [9780, 480, -491, 21, -8, -3, 1], 'lmfdb_label': '382200.er1', 'torsion': [2, 2]}
  • id: 15822965
    {'degree': 8, 'field': [11334, -36300, 926, -1770, -528, -110, -48, 0, 1], 'lmfdb_label': '382200.er1', 'torsion': [3]}
  • id: 15822966
    {'degree': 12, 'field': [7300118400, -1255100640, -112862060, -18461832, 9397226, -1562832, 51281, 34478, 6226, -892, -104, -2, 1], 'lmfdb_label': '382200.er1', '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: 9455781
    {'conductor': 382200, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '382200.er1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 9455782
    {'conductor': 382200, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '382200.er1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9455783
    {'conductor': 382200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '382200.er1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9455784
    {'conductor': 382200, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '382200.er1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9455785
    {'conductor': 382200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '382200.er1', 'prime': 13, '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': [[301, 2, 301, 3], [389, 2, 388, 3], [131, 2, 131, 3], [157, 2, 157, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 389, 0]], 'adelic_image': '390.2.0.?', 'conductor': 382200, 'lmfdb_label': '382200.er1', 'prime': 0}
• lmfdb_iso 382200.er does not appear in ec_padic