Elliptic curve data - 149454.w3

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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': '149454cb', 'Clabel': '149454cb1', 'Cnumber': 1, 'abc_quality': 0.950715771479093, 'absD': 9200776496383728, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 5244, 'ainvs': [1, -1, 0, -115407, 15809053], 'analytic_rank': 0, 'bad_primes': [2, 3, 19, 23], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 149454, 'degree': 912384, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8216558784698707298844204225', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-4956477625, 268272], 'lmfdb_iso': '149454.w', 'lmfdb_label': '149454.w3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -36, 82], 'min_quad_twist_disc': 57, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.i.1', '46.6.0.a.1', '57.8.0-3.a.1.2', '114.24.0.?', '138.24.0.?', '228.48.0.?', '276.48.1.?', '2622.48.0.?', '5244.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 74727], [3, 2, 16606], [19, 182, 414], [23, 24, 6498]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.19986975544740434581771591191', 'prec': 107}, 'szpiro_ratio': 3.917136537131244, '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, -1, 0, 1, 0, 0, 2, -1, 0, 0, 0, 0, -2, -2, 0, 1, 0, 0, 0, 0], 'aplist': [-1, 0, 0, 2, 0, -2, 0, 0, 1, -6, 4, 10, -6, 2, 0, 12, 12, -10, -14, 0, 2, 10, 0, 12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 149454, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '149454.w', 'trace_hash': 199345516831505857}
• 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': '0.026165546388944729614593288736', 'prec': 107}, 'conductor': 149454, 'gens': [], 'heights': [], 'lmfdb_label': '149454.w3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40533384518689975482702974585', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6213353807475990193081189833969011729', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-394, 197, 1]], 'xcoord_integral_points': [-394]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '19': 'a', '23': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '149454.w3'}
• ec_torsion_growth •

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

  
  
  • id: 6727439
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '149454.w3', 'torsion': [6]}
  • id: 6727438
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 2]}
  • id: 6727440
    {'degree': 4, 'field': [-507, -48, 49, -2, 1], 'lmfdb_label': '149454.w3', 'torsion': [4]}
  • id: 6727441
    {'degree': 4, 'field': [400, 0, -17, 0, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 6]}
  • id: 6727442
    {'degree': 6, 'field': [2885, -1317, -48, 61, 18, -3, 1], 'lmfdb_label': '149454.w3', 'torsion': [6]}
  • id: 6727445
    {'degree': 8, 'field': [1089, 0, -690, 0, 115, 0, -14, 0, 1], 'lmfdb_label': '149454.w3', 'torsion': [12]}
  • id: 6727443
    {'degree': 8, 'field': [103213, -24860, 22543, -4726, 1256, -172, 43, -2, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 4]}
  • id: 6727444
    {'degree': 8, 'field': [982081, 0, 104943, 0, 5992, 0, 135, 0, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 4]}
  • id: 6727446
    {'degree': 12, 'field': [2500, -25500, 90500, -38760, 6936, -78, -1595, 549, 96, 39, -10, -3, 1], 'lmfdb_label': '149454.w3', 'torsion': [3, 6]}
  • id: 6727447
    {'degree': 12, 'field': [131177, -241758, 199245, 81790, -32430, -11238, 5637, -1806, 690, -170, 45, -6, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 6]}
  • id: 6727449
    {'degree': 16, 'field': [1387044, 2978532, 1009746, -1803834, -212511, 385062, 133288, -88834, -6096, 12070, -1630, -1278, 404, 46, -18, -4, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 12]}
  • id: 6727448
    {'degree': 16, 'field': [78623689, 0, 124320424, 0, 55188178, 0, 8064400, 0, -1061837, 0, -6848, 0, 3214, 0, -104, 0, 1], 'lmfdb_label': '149454.w3', 'torsion': [8]}
  • id: 6727450
    {'degree': 16, 'field': [1739435184, 1031430456, -782983230, -464191854, 153057307, 87384068, -17129024, -9424816, 1317290, 637250, -73616, -27440, 2996, 700, -80, -8, 1], 'lmfdb_label': '149454.w3', 'torsion': [2, 12]}
  • id: 6727451
    {'degree': 18, 'field': [4581072, -4246128, -3656448, 22593780, -11636244, -13259808, 16862835, -6468822, 82530, 482355, -144135, 86778, -31187, 4638, -813, 49, 24, -6, 1], 'lmfdb_label': '149454.w3', 'torsion': [18]}
• 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: 3698085
    {'conductor': 149454, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '149454.w3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3698086
    {'conductor': 149454, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '149454.w3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3698087
    {'conductor': 149454, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '149454.w3', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3698088
    {'conductor': 149454, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '149454.w3', 'prime': 23, '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: 2634199
    {'adelic_gens': [[1407, 3154, 4598, 4409], [5233, 12, 5232, 13], [1, 0, 12, 1], [2659, 1102, 456, 5243], [1, 6, 6, 37], [4691, 0, 0, 5243], [1, 12, 0, 1], [11, 2, 5194, 5235], [970, 3591, 969, 4960]], 'adelic_image': '5244.96.1.?', 'conductor': 149454, 'lmfdb_label': '149454.w3', 'prime': 0}
  • id: 574307
    {'conductor': 149454, 'elladic_image': '2.3.0.1', 'lmfdb_label': '149454.w3', 'modell_image': '2B', 'prime': 2}
  • id: 574308
    {'conductor': 149454, 'elladic_image': '3.4.0.1', 'lmfdb_label': '149454.w3', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 149454.w does not appear in ec_padic