Elliptic curve data - 133200.d1

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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': '133200bm', 'Clabel': '133200bm1', 'Cnumber': 1, 'abc_quality': 0.9578236420551478, 'absD': 19161619200, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 6, 'ainvs': [0, 0, 0, -3360, 75260], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 133200, 'degree': 156672, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.82426327587993557659459543473', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1], 'jinv': [-899153920, 4107], 'lmfdb_iso': '133200.d', 'lmfdb_label': '133200.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -373, 2663], 'min_quad_twist_disc': 12, 'modell_images': [], 'modm_images': ['6.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.54476452974005943623321936077', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45538064089976620448130848691', 'prec': 107}, 'szpiro_ratio': 3.0493010108564795, '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, 0, 0, 0, 0, -5, 0, 0, 0, 2, 0, 1, 0, 0, 0, -4, 0, -7, 0], 'aplist': [0, 0, 0, -5, 2, 1, -4, -7, -6, 6, -1, 1, 2, -11, 4, 4, -10, 5, -5, 0, -10, 0, -12, -18, 1], 'class_deg': 1, 'class_size': 1, 'conductor': 133200, 'isogeny_matrix': [[1]], 'lmfdb_iso': '133200.d', 'trace_hash': 2028240257060539147}
• 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': '0.19233309279800816510448315856', 'prec': 103}, 'conductor': 133200, 'gens': [[26, 74, 1], [34, 18, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.78420388122594424809415017350', 'prec': 103}, {'__RealLiteral__': 0, 'data': '0.86394518443536247367659926708', 'prec': 103}], 'lmfdb_label': '133200.d1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '1.2272073575841487703556427631', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '0.99999999999999999999999999999', 'prec': 103}, 'special_value': {'__RealLiteral__': 0, 'data': '10.696624624765916287099277909600620092', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [], 'xcoord_integral_points': [-59, -11, 26, 29, 34, 106]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [3, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '133200.d1'}
• ec_torsion_growth •

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

  
  
  • id: 6041526
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '133200.d1', 'torsion': [2]}
  • id: 6041527
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '133200.d1', 'torsion': [2, 2]}
  • id: 6041528
    {'degree': 8, 'field': [-19200, 0, -118380, 0, 6660, 0, -140, 0, 1], 'lmfdb_label': '133200.d1', 'torsion': [3]}
  • id: 6041529
    {'degree': 12, 'field': [-75, 0, -2650, 0, -24225, 0, -2300, 0, 215, 0, 30, 0, 1], 'lmfdb_label': '133200.d1', '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: 3285605
    {'conductor': 133200, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '133200.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3285606
    {'conductor': 133200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '133200.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3285607
    {'conductor': 133200, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '133200.d1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3285608
    {'conductor': 133200, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '133200.d1', 'prime': 37, 'reduction_type': 1, '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

  
  {'adelic_gens': [[5, 2, 5, 3], [1, 1, 5, 0], [1, 2, 0, 1], [5, 2, 4, 3], [1, 0, 2, 1]], 'adelic_image': '6.2.0.?', 'conductor': 133200, 'lmfdb_label': '133200.d1', 'prime': 0}
• lmfdb_iso 133200.d does not appear in ec_padic