Elliptic curve data - 15730.bc2

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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': '15730bd', 'Clabel': '15730bd1', 'Cnumber': 1, 'abc_quality': 0.8703475134803965, 'absD': 16861859322880, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5720, 'ainvs': [1, 1, 1, -16640, -856415], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 15730, 'degree': 57600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3126718708266459163552934917', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 28, 'isogeny_degrees': [1, 2], 'jinv': [-287626699801, 9518080], 'lmfdb_iso': '15730.bc', 'lmfdb_label': '15730.bc2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -137, 581], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '104.6.0.?', '110.6.0.?', '5720.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.3237709915634484398707209726', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 605], [5, 6, 1573], [11, 72, 130], [13, 14, 1210]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11372423442746064432432170272', 'prec': 103}, 'szpiro_ratio': 4.2250372819546325, '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, 2, 1, 1, 2, -4, 1, 1, 1, 0, 2, 1, -4, 2, 1, -2, 1, 0, 1], 'aplist': [1, 2, 1, -4, 0, 1, -2, 0, 0, -8, 8, -2, 0, -4, -6, -8, 4, 8, 8, -8, -10, 4, -4, -10, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 15730, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '15730.bc', 'trace_hash': 1842390458036560222}
• 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': '0.072414860751594273093182262055', 'prec': 107}, 'conductor': 15730, 'gens': [[545, 12069, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.3237709915634484398707209726', 'prec': 100}], 'lmfdb_label': '15730.bc2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.20976658701711923835510457888', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.7489901981930312533881648994754012239', 'prec': 130}, 'tamagawa_product': 80, 'torsion_generators': [[149, -75, 1]], 'xcoord_integral_points': [149, 545]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [5, 0], '5': [2, 0], '7': [1, 0], '11': 'a', '13': [2, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '15730.bc2'}
• ec_torsion_growth •

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

  
  
  • id: 808186
    {'degree': 2, 'field': [14, -1, 1], 'lmfdb_label': '15730.bc2', 'torsion': [2, 2]}
  • id: 808187
    {'degree': 4, 'field': [-88, 8, -7, -2, 1], 'lmfdb_label': '15730.bc2', 'torsion': [4]}
  • id: 808190
    {'degree': 8, 'field': [-126100, 24400, -25600, 2399, -1196, -7, 7, -4, 1], 'lmfdb_label': '15730.bc2', 'torsion': [6]}
  • id: 808188
    {'degree': 8, 'field': [1430, 0, 4029, 830, 1621, -156, -9, -2, 1], 'lmfdb_label': '15730.bc2', 'torsion': [2, 4]}
  • id: 808189
    {'degree': 8, 'field': [18496, 0, 496, 0, 156, 0, -19, 0, 1], 'lmfdb_label': '15730.bc2', 'torsion': [2, 4]}
  • id: 808192
    {'degree': 16, 'field': [9339680, -30665680, 38492020, -20284055, 2847440, 1042515, -384641, 227446, -104155, 4630, 282, -11, 698, -105, 35, -4, 1], 'lmfdb_label': '15730.bc2', 'torsion': [2, 6]}
  • id: 808191
    {'degree': 16, 'field': [6026530240, 1186200320, -1686075200, 1053883360, -665069478, 173665376, -71345824, 12084160, -3725601, 497904, -128216, 16160, -3118, 168, -4, -8, 1], 'lmfdb_label': '15730.bc2', 'torsion': [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: 348612
    {'conductor': 15730, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '15730.bc2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 348613
    {'conductor': 15730, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15730.bc2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 348614
    {'conductor': 15730, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '15730.bc2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 348615
    {'conductor': 15730, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '15730.bc2', 'prime': 13, 'reduction_type': 1, '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: 1768761
    {'adelic_gens': [[1, 0, 4, 1], [5717, 4, 5716, 5], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [2641, 4, 5282, 9], [2861, 4, 2, 9], [4162, 1, 3639, 0], [3434, 1, 1143, 0], [3577, 2146, 2144, 3575]], 'adelic_image': '5720.12.0.?', 'conductor': 15730, 'lmfdb_label': '15730.bc2', 'prime': 0}
  • id: 74101
    {'conductor': 15730, 'elladic_image': '2.3.0.1', 'lmfdb_label': '15730.bc2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 709994
    {'lmfdb_iso': '15730.bc', 'p': 7, 'prec': 20, 'unit': 136772163420455, 'val': 1}
  • id: 709999
    {'lmfdb_iso': '15730.bc', 'p': 17, 'prec': 20, 'unit': 124411770942637276270187, 'val': 1}
  • id: 709997
    {'lmfdb_iso': '15730.bc', 'p': 29, 'prec': 20, 'unit': 2835227951242589525566891625, 'val': 1}
  • id: 710007
    {'lmfdb_iso': '15730.bc', 'p': 31, 'prec': 20, 'unit': 19676709601893155104613092006, 'val': 1}
  • id: 709993
    {'lmfdb_iso': '15730.bc', 'p': 37, 'prec': 20, 'unit': 409738723137226552417490560029, 'val': 1}
  • id: 709996
    {'lmfdb_iso': '15730.bc', 'p': 43, 'prec': 20, 'unit': 10592216847429547782828265544676, 'val': 1}
  • id: 710005
    {'lmfdb_iso': '15730.bc', 'p': 47, 'prec': 20, 'unit': 44893212746882414509985071694437, 'val': 1}
  • id: 710001
    {'lmfdb_iso': '15730.bc', 'p': 53, 'prec': 20, 'unit': 453420405639619404270606541463049, 'val': 1}
  • id: 710002
    {'lmfdb_iso': '15730.bc', 'p': 59, 'prec': 20, 'unit': 1330786606332669007150775822636333, 'val': 1}
  • id: 710006
    {'lmfdb_iso': '15730.bc', 'p': 61, 'prec': 20, 'unit': 6356822695653570487012758724586695, 'val': 1}
  • id: 709992
    {'lmfdb_iso': '15730.bc', 'p': 67, 'prec': 20, 'unit': 20894398347581379232060792432796829, 'val': 1}
  • id: 710004
    {'lmfdb_iso': '15730.bc', 'p': 71, 'prec': 20, 'unit': 58627972442457705683209475278197210, 'val': 1}
  • id: 709995
    {'lmfdb_iso': '15730.bc', 'p': 73, 'prec': 20, 'unit': 145234755728978124039985961423972674, 'val': 1}
  • id: 709998
    {'lmfdb_iso': '15730.bc', 'p': 79, 'prec': 20, 'unit': 222033016058377235518865160562781902, 'val': 1}
  • id: 710000
    {'lmfdb_iso': '15730.bc', 'p': 83, 'prec': 20, 'unit': 2173334559457533358421528156444163972, 'val': 1}
  • id: 710003
    {'lmfdb_iso': '15730.bc', 'p': 89, 'prec': 20, 'unit': 5946428904954287478084668663416595791, 'val': 1}
  • id: 709991
    {'lmfdb_iso': '15730.bc', 'p': 97, 'prec': 20, 'unit': 9549771933561206993259389050832460159, 'val': 1}