Elliptic curve data - 9075.i2

Formats: - HTML - YAML - JSON - 2023-01-27T17:24:17.427995

• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  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
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '9075f', 'Clabel': '9075f2', 'Cnumber': 2, 'absD': 235382128254075, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 330, 'ainvs': [0, -1, 1, 15327, -112267], 'analytic_rank': 0, 'bad_primes': [3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 9075, 'degree': 25920, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4470429714407360986828723512', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3], 'jinv': [8990228480, 5314683], 'lmfdb_iso': '9075.i', 'lmfdb_label': '9075.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 127, 38], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['1.1.0.1', '3.4.0.1', '6.8.0.4', '165.8.0.?', '330.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.020144317030799235781559326654', 'prec': 110}, '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, -2, 0, 0, -1, 0, 1, 0, 0, 2, -1, 0, 0, 4, -6, 0, 7, 0], 'aplist': [0, -1, 0, -1, 0, -1, -6, 7, -6, 6, -7, -2, 6, -1, 0, 6, 0, -5, -5, -12, 14, 4, -6, 6, -17], 'class_deg': 3, 'class_size': 2, 'conductor': 9075, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '9075.i', 'trace_hash': 417980053839874846}
• 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': '0.055349594670446276905825845289', 'prec': 107}, 'conductor': 9075, 'gens': [], 'heights': [], 'lmfdb_label': '9075.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32637509945682168598173280191', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.65275019891364337196346560382848074376', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3, 0], '3': [0, 0], '5': 'a', '7': [0, 0], '11': 'a', '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0]}, 'iwp0': 0, 'lmfdb_label': '9075.i2'}
• ec_torsion_growth •

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

  
  
  • id: 472165
    {'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '9075.i2', 'torsion': [3]}
  • id: 472166
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '9075.i2', 'torsion': [2]}
  • id: 472169
    {'degree': 6, 'field': [-219, -321, -110, 25, -10, -1, 1], 'lmfdb_label': '9075.i2', 'torsion': [6]}
  • id: 472167
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '9075.i2', 'torsion': [2, 2]}
  • id: 472168
    {'degree': 6, 'field': [2880, 0, 0, -105, 0, 0, 1], 'lmfdb_label': '9075.i2', 'torsion': [3]}
  • id: 472172
    {'degree': 12, 'field': [47961, 70299, 78951, 46260, 17935, -8951, -1234, -791, 235, -40, 11, -1, 1], 'lmfdb_label': '9075.i2', 'torsion': [2, 6]}
  • id: 472170
    {'degree': 12, 'field': [122904, -93312, -110448, -42680, -23380, -9792, 936, -1816, -750, 40, -8, -6, 1], 'lmfdb_label': '9075.i2', 'torsion': [4]}
  • id: 472171
    {'degree': 12, 'field': [8916196, -958506, -882339, 640570, 23985, -49536, 14721, 1764, -855, 160, 21, -6, 1], 'lmfdb_label': '9075.i2', 'torsion': [3, 3]}
  • id: 472173
    {'degree': 18, 'field': [2424465981, 8345067768, 6611957100, 437935014, -1288719720, -326666682, 103691634, 44283420, -4050648, -3614940, -154080, 90450, -1745, 60, 630, -106, -48, 0, 1], 'lmfdb_label': '9075.i2', 'torsion': [9]}
  • id: 472174
    {'degree': 18, 'field': [3334661784, 0, 0, 60797628, 0, 0, 11690730, 0, 0, -205335, 0, 0, 4185, 0, 0, -87, 0, 0, 1], 'lmfdb_label': '9075.i2', 'torsion': [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: 189957
    {'conductor': 9075, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '9075.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 189958
    {'conductor': 9075, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '9075.i2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 189959
    {'conductor': 9075, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '9075.i2', '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: 1723930
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [325, 6, 324, 7], [111, 242, 220, 67], [188, 297, 121, 166], [1, 6, 0, 1], [119, 0, 0, 329]], 'adelic_image': '330.16.0.?', 'conductor': 9075, 'lmfdb_label': '9075.i2', 'prime': 0}
  • id: 44150
    {'conductor': 9075, 'elladic_image': '3.4.0.1', 'lmfdb_label': '9075.i2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 9075.i does not appear in ec_padic