Elliptic curve data - 184110.b3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '184110bw', 'Clabel': '184110bw2', 'Cnumber': 2, 'abc_quality': 1.067452515474607, 'absD': 12236633648100, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 38760, 'ainvs': [1, 1, 0, -5783, 15873], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 17, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 184110, 'degree': 442368, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2010203401703348122803178988', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2], 'jinv': [454756609, 260100], 'lmfdb_iso': '184110.b', 'lmfdb_label': '184110.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -16, -4], 'min_quad_twist_disc': -19, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '120.12.0.?', '136.12.0.?', '152.12.0.?', '1020.12.0.?', '1140.12.0.?', '1292.12.0.?', '2040.24.0.?', '2280.24.0.?', '2584.24.0.?', '19380.24.0.?', '38760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 8, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.8729785214854940958252206583', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 361], [3, 4, 61370], [5, 6, 36822], [17, 18, 10830], [19, 182, 510]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.27119914941288541772419581714', 'prec': 107}, 'szpiro_ratio': 3.1016259501419468, '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, 0, -1, 1, 1, 4, -1, -2, 0, 1, 1, 1, -1, 0, -1], 'aplist': [-1, -1, -1, 0, 4, -2, 1, 0, 4, -2, 4, 6, 10, -8, 0, -6, 8, 10, 8, -8, -2, -4, 4, 14, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 184110, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '184110.b', 'trace_hash': 178482455379741172}
• 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': '0.090533015709010437283812338918', 'prec': 107}, 'conductor': 184110, 'gens': [[93, 495, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.8729785214854940958252206583', 'prec': 100}], 'lmfdb_label': '184110.b3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.61043794829920027315782566637', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5733486634562984514754533902285265034', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-78, 39, 1], [74, -37, 1]], 'xcoord_integral_points': [-78, -61, 74, 93, 644]}
• lmfdb_label 184110.b3 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 8128424
    {'degree': 4, 'field': [4, 0, -34, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 4]}
  • id: 8128425
    {'degree': 4, 'field': [324, 0, 2, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 4]}
  • id: 8128426
    {'degree': 4, 'field': [23104, 0, -19, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 4]}
  • id: 8128427
    {'degree': 8, 'field': [-89664, 107880, -46732, 8424, 492, -28, -48, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 6]}
  • id: 8128429
    {'degree': 16, 'field': [148677376, -223825920, -104212992, 95646720, 11971840, 11101440, -14072832, 2526720, 2885904, -456000, -249888, 19200, 9880, -240, -168, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 8]}
  • id: 8128428
    {'degree': 16, 'field': [456292321, 0, -156568860, 0, 5502542, 0, 3174240, 0, -292557, 0, -13920, 0, 2222, 0, -60, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [4, 4]}
  • id: 8128430
    {'degree': 16, 'field': [22603904768, 20165148672, 8973402624, 2199970816, 568474112, 152559360, 48099840, 8051200, 452304, 70720, 57312, 13056, 1336, -272, -24, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 8]}
  • id: 8128431
    {'degree': 16, 'field': [2036317584016, 0, 224024094912, 0, 11697577480, 0, 1277986152, 0, 54670209, 0, -364242, 0, 14995, 0, -102, 0, 1], 'lmfdb_label': '184110.b3', 'torsion': [2, 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: 4555688
    {'conductor': 184110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '184110.b3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4555689
    {'conductor': 184110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '184110.b3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4555690
    {'conductor': 184110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '184110.b3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 4555691
    {'conductor': 184110, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '184110.b3', 'prime': 17, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4555692
    {'conductor': 184110, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '184110.b3', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2847451
    {'adelic_gens': [[2281, 26524, 37202, 14289], [13263, 32642, 6118, 6119], [38757, 4, 38756, 5], [1, 4, 0, 1], [16319, 0, 0, 38759], [1, 0, 4, 1], [25841, 32642, 0, 1], [3573, 32642, 24472, 18355], [23257, 32642, 0, 1]], 'adelic_image': '38760.48.0.?', 'conductor': 184110, 'lmfdb_label': '184110.b3', 'prime': 0}
  • id: 688925
    {'conductor': 184110, 'elladic_image': '2.6.0.1', 'lmfdb_label': '184110.b3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 184110.b does not appear in ec_padic