Elliptic curve data - 133200.di2

Formats: - HTML - YAML - JSON - 2024-06-06T00:41:12.472110

• 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': '133200er', 'Clabel': '133200er1', 'Cnumber': 1, 'abc_quality': 0.8414319806790896, 'absD': 102297600000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 4440, 'ainvs': [0, 0, 0, -15075, -862750], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 37], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 133200, 'degree': 331776, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4045027956688189897429534335', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 86, 'isogeny_degrees': [1, 2], 'jinv': [-219256227, 59200], 'lmfdb_iso': '133200.di', 'lmfdb_label': '133200.di2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -339, -2827], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '120.6.0.?', '222.6.0.?', '1480.6.0.?', '4440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.36801641327520392982346966380', 'prec': 107}, 'szpiro_ratio': 3.4627344699786393, '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, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 2, 0, 0, 0, 2, 0, 8, 0], 'aplist': [0, 0, 0, 0, -2, 2, 2, 8, -4, -10, -2, -1, 8, -6, 6, 0, 4, -4, -16, -4, -6, -10, 16, 2, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 133200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '133200.di', 'trace_hash': 2148078124245136514}
• 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': '0.060264890535006057069751222080', 'prec': 107}, 'conductor': 133200, 'gens': [], 'heights': [], 'lmfdb_label': '133200.di2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.21243884146148261522757234578', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6995107316918609218205787662390454296', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[145, 0, 1]], 'xcoord_integral_points': [145]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '37': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '133200.di2'}
• ec_torsion_growth •

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

  
  
  • id: 6042552
    {'degree': 2, 'field': [28, -1, 1], 'lmfdb_label': '133200.di2', 'torsion': [2, 2]}
  • id: 6042553
    {'degree': 4, 'field': [-111, 0, 6, 0, 1], 'lmfdb_label': '133200.di2', 'torsion': [4]}
  • id: 6042556
    {'degree': 8, 'field': [-75, 0, 765, 0, 0, 0, 25, 0, 1], 'lmfdb_label': '133200.di2', 'torsion': [6]}
  • id: 6042554
    {'degree': 8, 'field': [2791, 2204, -295, 974, 1036, -68, 65, -2, 1], 'lmfdb_label': '133200.di2', 'torsion': [2, 4]}
  • id: 6042555
    {'degree': 8, 'field': [509796, 0, -5220, 0, -123, 0, 30, 0, 1], 'lmfdb_label': '133200.di2', 'torsion': [2, 4]}
  • id: 6042558
    {'degree': 16, 'field': [2688802096, 1197441488, -292970056, 245170664, 72520704, -42070084, 26992630, -7390238, 2627367, -579968, 148715, -21844, 4394, -456, 89, -2, 1], 'lmfdb_label': '133200.di2', 'torsion': [2, 6]}
  • id: 6042557
    {'degree': 16, 'field': [62169502726, -53899683800, -19396700084, -6511301480, -1177226758, 3967360, 32088928, 11455880, 2362555, 213840, -15728, -4080, -2168, -200, 4, 0, 1], 'lmfdb_label': '133200.di2', 'torsion': [8]}
• 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: 3286121
    {'conductor': 133200, 'conductor_valuation': 4, 'discriminant_valuation': 18, 'j_denominator_valuation': 6, 'kodaira_symbol': -14, 'lmfdb_label': '133200.di2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3286122
    {'conductor': 133200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '133200.di2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3286123
    {'conductor': 133200, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '133200.di2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3286124
    {'conductor': 133200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '133200.di2', 'prime': 37, '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

  
  
  • id: 2530956
    {'adelic_gens': [[1777, 4, 3554, 9], [1, 2, 2, 5], [1, 4, 0, 1], [1484, 1, 2959, 0], [1, 0, 4, 1], [4437, 4, 4436, 5], [3, 4, 8, 11], [3482, 1, 479, 0], [2221, 4, 2, 9], [3889, 556, 1664, 2775]], 'adelic_image': '4440.12.0.?', 'conductor': 133200, 'lmfdb_label': '133200.di2', 'prime': 0}
  • id: 517174
    {'conductor': 133200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '133200.di2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 133200.di does not appear in ec_padic