Elliptic curve data - 381150.le2

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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': '381150le', 'Clabel': '381150le1', 'Cnumber': 1, 'abc_quality': 0.8976142640226761, 'absD': 12817520641406250, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 1848, 'ainvs': [1, -1, 1, 31195, 5009447], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 381150, 'degree': 2073600, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7735869148580507593084657878', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 290, 'isogeny_degrees': [1, 3], 'jinv': [179685, 686], 'lmfdb_iso': '381150.le', 'lmfdb_label': '381150.le2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 93, 791], 'min_quad_twist_disc': 165, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.2', '168.8.0.?', '1848.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 63525], [3, 6, 6050], [5, 14, 15246], [7, 8, 54450], [11, 62, 3150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77297240199756218530515686590', 'prec': 107}, 'szpiro_ratio': 3.453436126894418, '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, 1, 0, 1, 0, 0, -1, 1, 0, 0, 0, 0, 1, -1, 0, 1, 3, 0, -2, 0], 'aplist': [1, 0, 0, -1, 0, 1, 3, -2, -3, 3, -1, 2, -3, 7, -6, -9, -3, 1, 8, 0, 4, -8, 15, -6, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 381150, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '381150.le', 'trace_hash': 255049295607505184}
• 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': '0.028805935200664122782210377142', 'prec': 107}, 'conductor': 381150, 'gens': [], 'heights': [], 'lmfdb_label': '381150.le2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.28420778995880282169232841988', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4104934795056338603079410385860903839', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 381150.le2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15781592
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '381150.le2', 'torsion': [3]}
  • id: 15781593
    {'degree': 3, 'field': [-38, 2, -1, 1], 'lmfdb_label': '381150.le2', 'torsion': [2]}
  • id: 15781595
    {'degree': 6, 'field': [388, -1212, 228, 7, -21, -3, 1], 'lmfdb_label': '381150.le2', 'torsion': [3]}
  • id: 15781594
    {'degree': 6, 'field': [672, 0, 352, 0, 34, 0, 1], 'lmfdb_label': '381150.le2', 'torsion': [2, 2]}
  • id: 15781596
    {'degree': 6, 'field': [1485, -495, -10, 67, 12, -1, 1], 'lmfdb_label': '381150.le2', 'torsion': [6]}
  • id: 15781597
    {'degree': 12, 'field': [-19178332016, 19092603824, -9475467430, 2143691856, -445234838, 28932832, -5004551, 311452, 5479, -120, -1, -4, 1], 'lmfdb_label': '381150.le2', 'torsion': [4]}
  • id: 15781598
    {'degree': 12, 'field': [1156, 0, -8208, 0, 15876, 0, 7183, 0, 1011, 0, 57, 0, 1], 'lmfdb_label': '381150.le2', 'torsion': [3, 3]}
  • id: 15781599
    {'degree': 12, 'field': [114867, -493614, 695577, -438210, 307456, -113502, 50561, -11430, 3516, -450, 101, -6, 1], 'lmfdb_label': '381150.le2', 'torsion': [2, 6]}
  • id: 15781601
    {'degree': 18, 'field': [1183750632, -437156568, -1442381688, 538570836, 552826152, -251396988, -34644962, 24357420, -1581684, -1738679, 372903, 105060, -39414, -2958, 2286, 64, -66, -3, 1], 'lmfdb_label': '381150.le2', 'torsion': [6]}
  • id: 15781600
    {'degree': 18, 'field': [4218485979, 4064868837, 3688558911, 1866859662, 705223044, 78257538, -28552818, -15918006, 2373219, 2601805, 557907, -80694, -17868, 84, 540, -24, 39, -9, 1], 'lmfdb_label': '381150.le2', 'torsion': [9]}
• 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: 9428629
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '381150.le2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 9428630
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '381150.le2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 9428631
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '381150.le2', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 9428632
    {'conductor': 381150, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '381150.le2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 9428633
    {'conductor': 381150, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '381150.le2', 'prime': 11, '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: 4033115
    {'adelic_gens': [[4, 3, 9, 7], [1585, 1518, 891, 859], [1341, 1342, 1166, 329], [925, 1518, 759, 859], [78, 1441, 451, 1398], [463, 1518, 1221, 859], [1, 6, 0, 1], [3, 4, 8, 11], [1843, 6, 1842, 7], [1175, 0, 0, 1847], [1, 0, 6, 1]], 'adelic_image': '1848.16.0.?', 'conductor': 381150, 'lmfdb_label': '381150.le2', 'prime': 0}
  • id: 1303721
    {'conductor': 381150, 'elladic_image': '3.4.0.1', 'lmfdb_label': '381150.le2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 381150.le does not appear in ec_padic