Elliptic curve data - 235200.fg2

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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': '235200fg', 'Clabel': '235200fg2', 'Cnumber': 2, 'abc_quality': 0.9759549111182807, 'absD': 122001415154841600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 840, 'ainvs': [0, -1, 0, -12428033, -23803284063], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 235200, 'degree': 20643840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1327541160733576978232389023', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2], 'jinv': [-2568731006, 1476225], 'lmfdb_iso': '235200.fg', 'lmfdb_label': '235200.fg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -2536, -68564], 'min_quad_twist_disc': 280, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.b.1', '120.6.0.?', '420.6.0.?', '840.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '10.444638548671614288793396952', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.11335595772843332331390082729', 'prec': 107}, 'szpiro_ratio': 4.957044236913307, '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, -1, 0, 0, 0, 0, 0, 1, 0, -2, 0, 6, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, -1, 0, 0, -2, 6, 0, 4, 0, 0, -2, -4, -2, -10, 6, -14, 4, 2, 2, 0, -6, -16, 8, -10, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 235200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '235200.fg', 'trace_hash': 1272377433902811506}
• 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': '0.0019007471521255393298802936513', 'prec': 110}, 'conductor': 235200, 'gens': [[2902021, 2129547056, 25]], 'heights': [{'__RealLiteral__': 0, 'data': '10.444638548671614288793396952', 'prec': 100}], 'lmfdb_label': '235200.fg2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.039165531708439696939814480903', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.5451171561790349810336468376485824073', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[4247, 0, 1]], 'xcoord_integral_points': [4247]}
• lmfdb_label 235200.fg2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10171175
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '235200.fg2', 'torsion': [2, 2]}
  • id: 10171176
    {'degree': 4, 'field': [-26, -53, -25, -1, 1], 'lmfdb_label': '235200.fg2', 'torsion': [4]}
  • id: 10171179
    {'degree': 8, 'field': [-91875, 0, 53410, 0, -1050, 0, 0, 0, 1], 'lmfdb_label': '235200.fg2', 'torsion': [6]}
  • id: 10171178
    {'degree': 8, 'field': [3600, 0, 1760, 0, 416, 0, -8, 0, 1], 'lmfdb_label': '235200.fg2', 'torsion': [2, 4]}
  • id: 10171177
    {'degree': 8, 'field': [10816, 0, 2328, 0, 188, 0, 18, 0, 1], 'lmfdb_label': '235200.fg2', 'torsion': [2, 4]}
  • id: 10171180
    {'degree': 16, 'field': [49477156, 0, 113098992, 0, -17894612, 0, 9456264, 0, -1049235, 0, 50184, 0, -302, 0, -48, 0, 1], 'lmfdb_label': '235200.fg2', 'torsion': [8]}
  • id: 10171181
    {'degree': 16, 'field': [103103716, 0, 45745624, 0, -6888236, 0, 637776, 0, -645180, 0, 59076, 0, 2104, 0, 64, 0, 1], 'lmfdb_label': '235200.fg2', '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: 5828527
    {'conductor': 235200, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '235200.fg2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5828528
    {'conductor': 235200, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '235200.fg2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5828529
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '235200.fg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 5828530
    {'conductor': 235200, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '235200.fg2', 'prime': 7, '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: 3160807
    {'adelic_gens': [[837, 4, 836, 5], [1, 2, 2, 5], [737, 106, 104, 735], [1, 4, 0, 1], [337, 4, 674, 9], [281, 4, 562, 9], [124, 1, 599, 0], [2, 1, 419, 0], [1, 0, 4, 1], [3, 4, 8, 11]], 'adelic_image': '840.12.0.?', 'conductor': 235200, 'lmfdb_label': '235200.fg2', 'prime': 0}
  • id: 854752
    {'conductor': 235200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '235200.fg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 235200.fg does not appear in ec_padic