Elliptic curve data - 29624.e1

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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': '29624m', 'Clabel': '29624m2', 'Cnumber': 2, 'abc_quality': 0.9449007141480289, 'absD': 90374635941567488, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 644, 'ainvs': [0, 1, 0, -287952, -57784688], 'analytic_rank': 1, 'bad_primes': [2, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 29624, 'degree': 247296, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0254450623478008151774924858', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2], 'jinv': [1431644, 49], 'lmfdb_iso': '29624.e', 'lmfdb_label': '29624.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -544, 4560], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.e.1', '92.6.0.?', '644.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.4974483325801180123900814276', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.90379825006568254410859890594', 'prec': 107}, 'szpiro_ratio': 4.790561806808452, '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, -2, 0, 2, 0, -1, 0, 1, 0, 0, 0, -2, 0, -4, 0, 2, 0, 4, 0], 'aplist': [0, -2, 2, -1, 0, -2, 2, 4, 0, -2, -10, -8, 2, 4, -6, 12, 10, 6, 8, 0, -10, 4, 4, 2, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 29624, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '29624.e', 'trace_hash': 1875802391045933197}
• 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': '0.017406873453588561385440956916', 'prec': 107}, 'conductor': 29624, 'gens': [[29984, 4547548, 5]], 'heights': [{'__RealLiteral__': 0, 'data': '9.4974483325801180123900814276', 'prec': 100}], 'lmfdb_label': '29624.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20652909457113030312841254818', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.9229988097277260012898468112547232175', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-353, 0, 1]], 'xcoord_integral_points': [-353]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [9, 0], '5': [3, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': 'a', '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '29624.e1'}
• ec_torsion_growth •

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

  
  
  • id: 1482687
    {'degree': 2, 'field': [-23, 0, 1], 'lmfdb_label': '29624.e1', 'torsion': [2, 2]}
  • id: 1482688
    {'degree': 4, 'field': [92, 0, 23, 0, 1], 'lmfdb_label': '29624.e1', 'torsion': [4]}
  • id: 1482689
    {'degree': 8, 'field': [16, 0, -32, 0, -68, 0, -8, 0, 1], 'lmfdb_label': '29624.e1', 'torsion': [2, 4]}
  • id: 1482691
    {'degree': 8, 'field': [81, 0, -108, -276, -222, -92, -12, 0, 1], 'lmfdb_label': '29624.e1', 'torsion': [6]}
  • id: 1482690
    {'degree': 8, 'field': [18677, 3132, -2850, -560, 271, 8, 2, -4, 1], 'lmfdb_label': '29624.e1', 'torsion': [2, 4]}
  • id: 1482692
    {'degree': 16, 'field': [256, 0, 1920, 0, 11676, 0, 9128, 0, 10325, 0, 1904, 0, 287, 0, 16, 0, 1], 'lmfdb_label': '29624.e1', 'torsion': [8]}
  • id: 1482693
    {'degree': 16, 'field': [5943844, 0, -3694536, 0, 1551396, 0, -949440, 0, 90196, 0, -8016, 0, 864, 0, -48, 0, 1], 'lmfdb_label': '29624.e1', 'torsion': [2, 6]}
• 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: 689412
    {'conductor': 29624, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '29624.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 689413
    {'conductor': 29624, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29624.e1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 689414
    {'conductor': 29624, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '29624.e1', 'prime': 23, 'reduction_type': 0, '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: 1862094
    {'adelic_gens': [[185, 4, 370, 9], [1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [641, 4, 640, 5], [1, 4, 0, 1], [484, 165, 161, 484], [480, 1, 363, 0]], 'adelic_image': '644.12.0.?', 'conductor': 29624, 'lmfdb_label': '29624.e1', 'prime': 0}
  • id: 133553
    {'conductor': 29624, 'elladic_image': '2.3.0.1', 'lmfdb_label': '29624.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 1431027
    {'lmfdb_iso': '29624.e', 'p': 5, 'prec': 20, 'unit': 1577244107508, 'val': 2}
  • id: 1431032
    {'lmfdb_iso': '29624.e', 'p': 13, 'prec': 20, 'unit': 268801944342042888785, 'val': 1}
  • id: 1431034
    {'lmfdb_iso': '29624.e', 'p': 17, 'prec': 20, 'unit': 3566291145261330229723, 'val': 1}
  • id: 1431035
    {'lmfdb_iso': '29624.e', 'p': 19, 'prec': 20, 'unit': 149404274768023028037623, 'val': 1}
  • id: 1431031
    {'lmfdb_iso': '29624.e', 'p': 29, 'prec': 20, 'unit': 667466770034203156422140699, 'val': 1}
  • id: 1431028
    {'lmfdb_iso': '29624.e', 'p': 31, 'prec': 20, 'unit': 633929181333487841299238901, 'val': 2}
  • id: 1431042
    {'lmfdb_iso': '29624.e', 'p': 37, 'prec': 20, 'unit': 196399933422605903851222638410, 'val': 1}
  • id: 1431029
    {'lmfdb_iso': '29624.e', 'p': 41, 'prec': 20, 'unit': 2436712726511359573691375442470, 'val': 1}
  • id: 1431030
    {'lmfdb_iso': '29624.e', 'p': 43, 'prec': 20, 'unit': 2130401508604824697112512555792, 'val': 1}
  • id: 1431040
    {'lmfdb_iso': '29624.e', 'p': 47, 'prec': 20, 'unit': 57507032103330938066613962727538, 'val': 1}
  • id: 1431036
    {'lmfdb_iso': '29624.e', 'p': 53, 'prec': 20, 'unit': 447189407683836968936836908892504, 'val': 1}
  • id: 1431037
    {'lmfdb_iso': '29624.e', 'p': 59, 'prec': 20, 'unit': 1992132319625944862927832806733998, 'val': 1}
  • id: 1431041
    {'lmfdb_iso': '29624.e', 'p': 61, 'prec': 20, 'unit': 8277671610857471680984367843374776, 'val': 1}
  • id: 1431026
    {'lmfdb_iso': '29624.e', 'p': 67, 'prec': 20, 'unit': 18589586519803811920282025148460925, 'val': 1}
  • id: 1431038
    {'lmfdb_iso': '29624.e', 'p': 73, 'prec': 20, 'unit': 83789624546329998102069496085476743, 'val': 1}
  • id: 1431033
    {'lmfdb_iso': '29624.e', 'p': 79, 'prec': 20, 'unit': 709450695195436776893870612458334705, 'val': 1}
  • id: 1431025
    {'lmfdb_iso': '29624.e', 'p': 83, 'prec': 20, 'unit': 1328222441573456684266872399195777724, 'val': 1}
  • id: 1431039
    {'lmfdb_iso': '29624.e', 'p': 89, 'prec': 20, 'unit': 3249855931399835379785243900050005533, 'val': 1}
  • id: 1431024
    {'lmfdb_iso': '29624.e', 'p': 97, 'prec': 20, 'unit': 2975007737466452330265162325311572865, 'val': 1}