Elliptic curve data - 30030.n2

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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': '30030m', 'Clabel': '30030m1', 'Cnumber': 1, 'abc_quality': 0.9840907428077852, 'absD': 118250387761385880000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 8008, 'ainvs': [1, 0, 1, -876949, 611187872], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 30030, 'degree': 1198080, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5428385565619426803494148676', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2], 'jinv': [-74584058493065152674889, 118250387761385880000], 'lmfdb_iso': '30030.n', 'lmfdb_label': '30030.n2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -876949, 611187872], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '56.6.0.d.1', '286.6.0.?', '8008.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 6, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.67509257235555433903808864983', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.5428385565619426803494148676', 'prec': 100}, 'szpiro_ratio': 5.236223575466817, '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, 1, 1, -1, -1, 1, -1, 1, 1, -1, 1, -1, -1, -1, 1, -4, -1, 4, -1], 'aplist': [-1, 1, -1, 1, -1, -1, -4, 4, -4, 0, -8, 12, 2, 0, 0, -2, -2, -2, 8, 2, -6, 6, -4, 0, -12], 'class_deg': 2, 'class_size': 2, 'conductor': 30030, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '30030.n', 'trace_hash': 1980014784736870173}
• 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': '0.0061846979320619129115005600447', 'prec': 110}, 'conductor': 30030, 'gens': [[331, 18734, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.67509257235555433903808864983', 'prec': 103}], 'lmfdb_label': '30030.n2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.16735377895747033518446837906', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.5191717251928595782453842439282913926', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-1181, 590, 1]], 'xcoord_integral_points': [-1181, -452, 331, 1006, 3355]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': [1, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '30030.n2'}
• ec_torsion_growth •

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

  
  
  • id: 1500309
    {'degree': 2, 'field': [36, -1, 1], 'lmfdb_label': '30030.n2', 'torsion': [2, 2]}
  • id: 1500310
    {'degree': 4, 'field': [43, -84, 12, 0, 1], 'lmfdb_label': '30030.n2', 'torsion': [4]}
  • id: 1500313
    {'degree': 8, 'field': [-48, 0, -181, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '30030.n2', 'torsion': [6]}
  • id: 1500312
    {'degree': 8, 'field': [7931, 4928, -2736, -4372, 2157, 32, -6, -4, 1], 'lmfdb_label': '30030.n2', 'torsion': [2, 4]}
  • id: 1500311
    {'degree': 8, 'field': [116964, 0, -12239, 0, 2195, 0, -73, 0, 1], 'lmfdb_label': '30030.n2', 'torsion': [2, 4]}
  • id: 1500314
    {'degree': 16, 'field': [132102022369, 628486608232, 416192312896, 65297187088, -34434982344, -11375523656, -536737376, 637197792, 60728206, -13942152, -2185120, 66192, 27608, -280, -256, 0, 1], 'lmfdb_label': '30030.n2', 'torsion': [8]}
  • id: 1500315
    {'degree': 16, 'field': [2742077657088, -625612746528, 687711664836, -127653228714, 72583883133, -10843946152, 4181238194, -501529192, 145491488, -13809526, 3169442, -227576, 42358, -2072, 316, -8, 1], 'lmfdb_label': '30030.n2', '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: 698629
    {'conductor': 30030, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '30030.n2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 698630
    {'conductor': 30030, 'conductor_valuation': 1, 'discriminant_valuation': 20, 'j_denominator_valuation': 20, 'kodaira_symbol': 24, 'lmfdb_label': '30030.n2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 20}
  • id: 698631
    {'conductor': 30030, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '30030.n2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 698632
    {'conductor': 30030, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30030.n2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 698633
    {'conductor': 30030, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '30030.n2', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 698634
    {'conductor': 30030, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30030.n2', 'prime': 13, '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: 1864746
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [3433, 4, 6866, 9], [4005, 4, 2, 9], [1, 4, 0, 1], [730, 1, 3639, 0], [8005, 4, 8004, 5], [1850, 1, 3079, 0], [5009, 3004, 1000, 7007]], 'adelic_image': '8008.12.0.?', 'conductor': 30030, 'lmfdb_label': '30030.n2', 'prime': 0}
  • id: 135137
    {'conductor': 30030, 'elladic_image': '2.3.0.1', 'lmfdb_label': '30030.n2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1451503
    {'lmfdb_iso': '30030.n', 'p': 17, 'prec': 20, 'unit': 14949777996121992404451, 'val': 1}
  • id: 1451495
    {'lmfdb_iso': '30030.n', 'p': 19, 'prec': 20, 'unit': 208913339538014291087994, 'val': 1}
  • id: 1451501
    {'lmfdb_iso': '30030.n', 'p': 23, 'prec': 20, 'unit': 40434994910867862085260685, 'val': 1}
  • id: 1451509
    {'lmfdb_iso': '30030.n', 'p': 31, 'prec': 20, 'unit': 3334771166407338212052366859, 'val': 1}
  • id: 1451498
    {'lmfdb_iso': '30030.n', 'p': 37, 'prec': 20, 'unit': 152199154044581124716891734963, 'val': 1}
  • id: 1451500
    {'lmfdb_iso': '30030.n', 'p': 41, 'prec': 20, 'unit': 2565290746893837946501850529617, 'val': 1}
  • id: 1451505
    {'lmfdb_iso': '30030.n', 'p': 53, 'prec': 20, 'unit': 153616796447297699641520945600875, 'val': 1}
  • id: 1451507
    {'lmfdb_iso': '30030.n', 'p': 59, 'prec': 20, 'unit': 2559050156507031448982478040379843, 'val': 1}
  • id: 1451508
    {'lmfdb_iso': '30030.n', 'p': 61, 'prec': 20, 'unit': 3449730576314118827085696057132962, 'val': 1}
  • id: 1451497
    {'lmfdb_iso': '30030.n', 'p': 67, 'prec': 20, 'unit': 6030310828133072005988728488673363, 'val': 1}
  • id: 1451499
    {'lmfdb_iso': '30030.n', 'p': 71, 'prec': 20, 'unit': 106782679872891711851033911514958165, 'val': 1}
  • id: 1451506
    {'lmfdb_iso': '30030.n', 'p': 73, 'prec': 20, 'unit': 62437625596893857832041604353561936, 'val': 1}
  • id: 1451502
    {'lmfdb_iso': '30030.n', 'p': 79, 'prec': 20, 'unit': 4751406221806105078632628270898289, 'val': 2}
  • id: 1451504
    {'lmfdb_iso': '30030.n', 'p': 83, 'prec': 20, 'unit': 762844150066809629150553124260480964, 'val': 1}
  • id: 1451496
    {'lmfdb_iso': '30030.n', 'p': 97, 'prec': 20, 'unit': 13514250291405652774305930527316648789, 'val': 1}