Elliptic curve data - 45738.bp2

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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': '45738h', 'Clabel': '45738h2', 'Cnumber': 2, 'abc_quality': 0.9362128342350067, 'absD': 90252309560419314, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 264, 'ainvs': [1, -1, 0, 91272, -9834742], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 45738, 'degree': 414720, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9400864868056528916099600254', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'intrinsic_torsion': 1, 'iso_nlabel': 41, 'isogeny_degrees': [1, 3], 'jinv': [2411494821, 2588278], 'lmfdb_iso': '45738.bp', 'lmfdb_label': '45738.bp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 84, -294], 'min_quad_twist_disc': 33, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '24.8.0-3.a.1.8', '33.8.0-3.a.1.1', '264.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3267], [3, 2, 22], [7, 8, 6534], [11, 72, 378]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.082820366094614648967445691274', 'prec': 110}, 'szpiro_ratio': 4.275439637922669, '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, -1, 0, 1, 3, 0, -1, -1, 0, -3, 0, 0, 1, 1, 0, 1, -3, 0, -2, 3], 'aplist': [-1, 0, 3, -1, 0, 1, -3, -2, -3, -6, 2, -10, 3, -8, 0, 9, 0, 7, 5, 0, -2, 1, 9, 0, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 45738, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '45738.bp', 'trace_hash': 731141271785276661}
• 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': '0.020647253442821630807866228880', 'prec': 107}, 'conductor': 45738, 'gens': [], 'heights': [], 'lmfdb_label': '45738.bp2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.18358495852380360711266873639', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4686796681904288569013498911246254582', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': 'a', '13': [2, 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': '45738.bp2'}
• ec_torsion_growth •

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

  
  
  • id: 2233340
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '45738.bp2', 'torsion': [3]}
  • id: 2233341
    {'degree': 3, 'field': [-14, -9, 0, 1], 'lmfdb_label': '45738.bp2', 'torsion': [2]}
  • id: 2233344
    {'degree': 6, 'field': [-24, -81, -33, -36, 0, -3, 1], 'lmfdb_label': '45738.bp2', 'torsion': [6]}
  • id: 2233342
    {'degree': 6, 'field': [66, 0, 93, 0, 36, 0, 1], 'lmfdb_label': '45738.bp2', 'torsion': [2, 2]}
  • id: 2233343
    {'degree': 6, 'field': [176, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '45738.bp2', 'torsion': [3]}
  • id: 2233345
    {'degree': 12, 'field': [-127776, 0, -72963, 0, -41019, 0, 3102, 0, 990, 0, 57, 0, 1], 'lmfdb_label': '45738.bp2', 'torsion': [4]}
  • id: 2233347
    {'degree': 12, 'field': [4096, 0, 3072, 0, -3888, 0, 1498, 0, -243, 0, 12, 0, 1], 'lmfdb_label': '45738.bp2', 'torsion': [2, 6]}
  • id: 2233346
    {'degree': 12, 'field': [31329, -1062, -2619, 6990, -2550, -1182, 493, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '45738.bp2', 'torsion': [3, 3]}
  • id: 2233349
    {'degree': 18, 'field': [199692, -32508, 173412, -14560, 29028, 62316, 1192, 8136, 11610, -2062, 1896, 3054, 85, -333, 108, 35, -18, -3, 1], 'lmfdb_label': '45738.bp2', 'torsion': [6]}
  • id: 2233348
    {'degree': 18, 'field': [6680278927, 8116375092, -3801745458, -4943976828, 1593654468, 815215149, -378278664, 19387203, -1309032, 8945035, -1740129, 120132, -130404, 27489, -1530, 465, -51, -9, 1], 'lmfdb_label': '45738.bp2', 'torsion': [9]}
• 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: 1089696
    {'conductor': 45738, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '45738.bp2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1089697
    {'conductor': 45738, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '45738.bp2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1089698
    {'conductor': 45738, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '45738.bp2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1089699
    {'conductor': 45738, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '45738.bp2', 'prime': 11, '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: 1968834
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [199, 6, 69, 19], [186, 71, 173, 234], [133, 6, 135, 19], [119, 258, 93, 245], [259, 6, 258, 7], [1, 6, 0, 1]], 'adelic_image': '264.16.0.?', 'conductor': 45738, 'lmfdb_label': '45738.bp2', 'prime': 0}
  • id: 198216
    {'conductor': 45738, 'elladic_image': '3.4.0.1', 'lmfdb_label': '45738.bp2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 45738.bp does not appear in ec_padic