Elliptic curve data - 91200.cf1

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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': '91200x', 'Clabel': '91200x4', 'Cnumber': 4, 'abc_quality': 0.962838731498289, 'absD': 182400000000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [0, -1, 0, -993633, -380344863], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 91200, 'degree': 1179648, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2073572763085220862866653081', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 57, 'isogeny_degrees': [1, 2, 4], 'jinv': [26487576322129, 44531250], 'lmfdb_iso': '91200.cf', 'lmfdb_label': '91200.cf1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -621, -6207], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '20.12.0-4.c.1.1', '40.24.0-8.m.1.3', '456.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1425], [3, 4, 30400], [5, 18, 3648], [19, 20, 4800]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.36291754925155393486043745930', 'prec': 103}, 'szpiro_ratio': 4.644239141353892, '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, -4, 0, 2, 0, 0, 0, -2, 0, 1, 0], 'aplist': [0, -1, 0, 0, -4, 2, -2, 1, -4, -6, 4, -6, 10, -4, 12, 6, 12, 2, 4, 8, 6, -4, -12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 91200, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '91200.cf', 'trace_hash': 899250266905186349}
• 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': '0.012098006976681132517294919172', 'prec': 107}, 'conductor': 91200, 'gens': [], 'heights': [], 'lmfdb_label': '91200.cf1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15122962379107759835459631237', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2098369903286207868367704989355142239', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-593, 0, 1]], 'xcoord_integral_points': [-593]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '91200.cf1'}
• ec_torsion_growth •

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

  
  
  • id: 4257099
    {'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [2, 2]}
  • id: 4257100
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [4]}
  • id: 4257101
    {'degree': 2, 'field': [570, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [4]}
  • id: 4257102
    {'degree': 4, 'field': [14161, 0, -218, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [2, 4]}
  • id: 4257106
    {'degree': 8, 'field': [-30000, 0, 28480, 0, -600, 0, 0, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [6]}
  • id: 4257104
    {'degree': 8, 'field': [23025, -1800, 5480, -880, 454, -40, 24, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [8]}
  • id: 4257105
    {'degree': 8, 'field': [97114, 27680, 18269, 2294, 697, -68, -1, -2, 1], 'lmfdb_label': '91200.cf1', 'torsion': [8]}
  • id: 4257103
    {'degree': 8, 'field': [204745, 7300, -8206, 1816, -917, 8, 2, -4, 1], 'lmfdb_label': '91200.cf1', 'torsion': [2, 4]}
  • id: 4257111
    {'degree': 16, 'field': [15116544, 0, 22954752, 0, 19420560, 0, 1275264, 0, 54240, 0, 7216, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [12]}
  • id: 4257108
    {'degree': 16, 'field': [28475896, 41363184, 45147608, 32528752, 19946636, 9838416, 3852968, 903744, -24998, -108564, -27554, 2324, 2055, 92, -62, -4, 1], 'lmfdb_label': '91200.cf1', 'torsion': [2, 8]}
  • id: 4257109
    {'degree': 16, 'field': [57896881, 0, -27167024, 0, 9199196, 0, -1383024, 0, 159734, 0, -20496, 0, 2108, 0, -80, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [2, 8]}
  • id: 4257107
    {'degree': 16, 'field': [190302025, 0, -53357460, 0, 8682526, 0, -785088, 0, 78399, 0, -1224, 0, 514, 0, 12, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [4, 4]}
  • id: 4257110
    {'degree': 16, 'field': [411979124736, 0, -117633126528, 0, 15552124288, 0, -1112075616, 0, 47549040, 0, -1299736, 0, 22668, 0, -228, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [2, 6]}
  • id: 4257112
    {'degree': 16, 'field': [967777032609, 31735077084, 53393690856, -25743745920, -3617835428, -1499237844, 131153808, 28382504, 13271970, 949788, 195512, -13800, -1752, -740, -24, 0, 1], 'lmfdb_label': '91200.cf1', 'torsion': [12]}
• 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: 2229647
    {'conductor': 91200, 'conductor_valuation': 6, 'discriminant_valuation': 19, 'j_denominator_valuation': 1, 'kodaira_symbol': -13, 'lmfdb_label': '91200.cf1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2229648
    {'conductor': 91200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '91200.cf1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2229649
    {'conductor': 91200, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '91200.cf1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2229650
    {'conductor': 91200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '91200.cf1', 'prime': 19, '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: 2264146
    {'adelic_gens': [[1091, 1540, 1130, 861], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [616, 915, 1525, 1826], [624, 2215, 1205, 1674], [7, 6, 2274, 2275], [776, 915, 485, 1826], [2273, 8, 2272, 9], [1823, 0, 0, 2279]], 'adelic_image': '2280.48.0.?', 'conductor': 91200, 'lmfdb_label': '91200.cf1', 'prime': 0}
  • id: 369523
    {'conductor': 91200, 'elladic_image': '8.12.0.11', 'lmfdb_label': '91200.cf1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 91200.cf does not appear in ec_padic