Elliptic curve data - 1155.f2

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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': '1155m', 'Clabel': '1155m3', 'Cnumber': 3, 'abc_quality': 1.0056359832491233, 'absD': 326869475625, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [1, 0, 0, -190575, -32037768], 'analytic_rank': 0, 'bad_primes': [3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 1155, 'degree': 3840, 'elladic_images': ['4.24.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5525633909367667060011590320', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [765458482133960722801, 326869475625], 'lmfdb_iso': '1155.f', 'lmfdb_label': '1155.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -190575, -32037768], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.24.0-4.b.1.1', '24.48.0-24.i.1.3', '56.48.0-56.h.1.1', '84.48.0.?', '168.96.0.?', '440.48.0.?', '1320.96.0.?', '3080.96.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5525633909367667060011590320', 'prec': 100}, 'szpiro_ratio': 6.819057170528335, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 1, -1, 1, -1, 1, 3, 1, -1, -1, -1, -2, -1, 1, -1, 2, -1, 4, -1], 'aplist': [-1, 1, 1, 1, -1, -2, 2, 4, 0, 6, 0, 6, -6, -4, 0, -2, 4, 6, 12, 0, 10, 8, -4, 10, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 1155, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '1155.f', 'trace_hash': 285753962928493369}
• 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': '0.044818835983055134678296237061', 'prec': 107}, 'conductor': 1155, 'gens': [], 'heights': [], 'lmfdb_label': '1155.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22849835182812732335302814878', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3709901109687639401181688926887488494', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-252, 126, 1], [504, -252, 1]], 'xcoord_integral_points': [-252, 504]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': [1, 0], '5': [1, 0], '7': [1, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '1155.f2'}
• ec_torsion_growth •

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

  
  
  • id: 57146
    {'degree': 2, 'field': [-5, -1, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 4]}
  • id: 57145
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 4]}
  • id: 57147
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 4]}
  • id: 57148
    {'degree': 4, 'field': [25, 0, 11, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [4, 4]}
  • id: 57151
    {'degree': 8, 'field': [-108561, 154404, -19695, -30174, 6544, 460, -141, -2, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 8]}
  • id: 57153
    {'degree': 8, 'field': [-105, 120, -150, 59, -26, -7, 7, -4, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 6]}
  • id: 57152
    {'degree': 8, 'field': [441, 0, 0, 0, -21, 0, 0, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 8]}
  • id: 57149
    {'degree': 8, 'field': [41530, -9500, 10694, -2444, 1363, -172, 62, -4, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 8]}
  • id: 57150
    {'degree': 8, 'field': [57330, -2940, 4214, -2604, 1443, -172, 62, -4, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 8]}
  • id: 57157
    {'degree': 16, 'field': [11025, 0, -17100, 0, 13800, 0, -4529, 0, 152, 0, 241, 0, -59, 0, 2, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 12]}
  • id: 57156
    {'degree': 16, 'field': [234256, 0, 120032, 0, 38272, 0, 15776, 0, 2812, 0, -688, 0, -32, 0, -4, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [4, 8]}
  • id: 57158
    {'degree': 16, 'field': [497025, 0, -4720425, 0, 1633900, 0, -424161, 0, 68097, 0, -8951, 0, 711, 0, -42, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 12]}
  • id: 57155
    {'degree': 16, 'field': [1793918025, -789147900, 970103790, -388561860, 263446396, -90263772, 42659550, -11719060, 4148741, -875380, 239426, -37180, 7956, -840, 140, -8, 1], 'lmfdb_label': '1155.f2', 'torsion': [4, 8]}
  • id: 57154
    {'degree': 16, 'field': [2629677460, 5481698920, 9444673176, 4966280312, 481647288, -311474928, 147698572, 165842336, 29986797, -4788182, -1595078, 26982, 30843, 406, -276, -4, 1], 'lmfdb_label': '1155.f2', 'torsion': [4, 8]}
  • id: 57159
    {'degree': 16, 'field': [6947055801, 0, 2484466992, 0, 220327128, 0, 16872219, 0, -2063880, 0, 22869, 0, 1953, 0, 42, 0, 1], 'lmfdb_label': '1155.f2', 'torsion': [2, 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: 16843
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '1155.f2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 16844
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1155.f2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 16845
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1155.f2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 16846
    {'conductor': 1155, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '1155.f2', 'prime': 11, '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

  
  
  • id: 1671846
    {'adelic_gens': [[6167, 6, 9234, 9235], [9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [1, 6934, 0, 2311], [2521, 8, 844, 33], [5, 4, 9236, 9237], [4625, 6932, 6952, 4629], [3697, 8, 5548, 33], [7, 2, 6582, 9235]], 'adelic_image': '9240.192.1.?', 'conductor': 1155, 'lmfdb_label': '1155.f2', 'prime': 0}
  • id: 5501
    {'conductor': 1155, 'elladic_image': '4.24.0.6', 'lmfdb_label': '1155.f2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 1155.f does not appear in ec_padic