Elliptic curve data - 1512.f1

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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': '1512e', 'Clabel': '1512e1', 'Cnumber': 1, 'abc_quality': 1.0784091253709478, 'absD': 84687918336, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 42, 'ainvs': [0, 0, 0, -1188, 7236], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1512, 'degree': 1440, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.79179845357653378846987817262', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1], 'jinv': [36799488, 16807], 'lmfdb_iso': '1512.f', 'lmfdb_label': '1512.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1188, 7236], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['42.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 14, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.046450749600418641199984180319', 'prec': 107}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.49425888329784535302137716938', 'prec': 107}, 'szpiro_ratio': 4.487479359105999, '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, 0, 0, 0, -1, 0, 1, 0, 0, 0, 0, 0, -6, 0, 0, 0, 7, 0, -8, 0], 'aplist': [0, 0, -1, 1, 0, -6, 7, -8, 2, -4, -2, 9, -11, -7, 11, -10, -9, -8, 0, 12, -14, 1, 9, -14, 4], 'class_deg': 1, 'class_size': 1, 'conductor': 1512, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1512.f', 'trace_hash': 1437007774007036794}
• 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': '0.20523555573093770436930606519', 'prec': 103}, 'conductor': 1512, 'gens': [[-30, 126, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.046450749600418641199984180319', 'prec': 107}], 'lmfdb_label': '1512.f1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.96673879663798482324110502078', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6943445062984642937721170908312182486', 'prec': 130}, 'tamagawa_product': 60, 'torsion_generators': [], 'xcoord_integral_points': [-30, -2, 6, 33, 40, 96, 888]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [5, 0], '7': [2, 0], '11': [1, 3, 0], '13': [3, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1512.f1'}
• ec_torsion_growth •

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

  
  
  • id: 75013
    {'degree': 3, 'field': [-2, -6, 0, 1], 'lmfdb_label': '1512.f1', 'torsion': [2]}
  • id: 75014
    {'degree': 6, 'field': [1, -3, -6, 17, -6, -3, 1], 'lmfdb_label': '1512.f1', 'torsion': [2, 2]}
  • id: 75015
    {'degree': 8, 'field': [-12, 0, -20, 0, -12, 0, 0, 0, 1], 'lmfdb_label': '1512.f1', 'torsion': [3]}
  • id: 75016
    {'degree': 12, 'field': [-8, 48, -192, 520, -900, 1008, -744, 360, -102, 4, 12, -6, 1], 'lmfdb_label': '1512.f1', 'torsion': [4]}
• 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: 23192
    {'conductor': 1512, 'conductor_valuation': 3, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -5, 'lmfdb_label': '1512.f1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 23193
    {'conductor': 1512, 'conductor_valuation': 3, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1512.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 23194
    {'conductor': 1512, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '1512.f1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1, 1, 41, 0], [1, 2, 0, 1], [31, 2, 31, 3], [1, 0, 2, 1], [41, 2, 40, 3], [29, 2, 29, 3]], 'adelic_image': '42.2.0.?', 'conductor': 1512, 'lmfdb_label': '1512.f1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 39926
    {'lmfdb_iso': '1512.f', 'p': 5, 'prec': 20, 'unit': 5696824102152, 'val': 1}
  • id: 39932
    {'lmfdb_iso': '1512.f', 'p': 13, 'prec': 20, 'unit': 42412257151924320143, 'val': 2}
  • id: 39934
    {'lmfdb_iso': '1512.f', 'p': 17, 'prec': 20, 'unit': 25026974682274335730612, 'val': 1}
  • id: 39935
    {'lmfdb_iso': '1512.f', 'p': 19, 'prec': 20, 'unit': 585494359714376665022482, 'val': 1}
  • id: 39938
    {'lmfdb_iso': '1512.f', 'p': 23, 'prec': 20, 'unit': 57177546235386503505858838, 'val': 1}
  • id: 39931
    {'lmfdb_iso': '1512.f', 'p': 29, 'prec': 20, 'unit': 3126396987585583780557948333, 'val': 1}
  • id: 39928
    {'lmfdb_iso': '1512.f', 'p': 31, 'prec': 20, 'unit': 10812379156249595585905862615, 'val': 1}
  • id: 39942
    {'lmfdb_iso': '1512.f', 'p': 37, 'prec': 20, 'unit': 261908018647963294766854797550, 'val': 1}
  • id: 39929
    {'lmfdb_iso': '1512.f', 'p': 41, 'prec': 20, 'unit': 3392244767686184384173277778740, 'val': 1}
  • id: 39930
    {'lmfdb_iso': '1512.f', 'p': 43, 'prec': 20, 'unit': 3449802223396005847053369156843, 'val': 1}
  • id: 39940
    {'lmfdb_iso': '1512.f', 'p': 47, 'prec': 20, 'unit': 42092638712058881474206294659310, 'val': 1}
  • id: 39936
    {'lmfdb_iso': '1512.f', 'p': 53, 'prec': 20, 'unit': 214387765252874084359646967200270, 'val': 1}
  • id: 39925
    {'lmfdb_iso': '1512.f', 'p': 59, 'prec': 20, 'unit': 3282227216066027470798819519212212, 'val': 1}
  • id: 39941
    {'lmfdb_iso': '1512.f', 'p': 61, 'prec': 20, 'unit': 2901156303467360622256110399528046, 'val': 1}
  • id: 39927
    {'lmfdb_iso': '1512.f', 'p': 71, 'prec': 20, 'unit': 117830910489833447005149360696238291, 'val': 1}
  • id: 39937
    {'lmfdb_iso': '1512.f', 'p': 73, 'prec': 20, 'unit': 225305268692923161663974094283993041, 'val': 1}
  • id: 39933
    {'lmfdb_iso': '1512.f', 'p': 79, 'prec': 20, 'unit': 42829095487421308505160758771600645115, 'val': -1}
  • id: 39924
    {'lmfdb_iso': '1512.f', 'p': 83, 'prec': 20, 'unit': 2340822545722218446120605545042815457, 'val': 1}
  • id: 39939
    {'lmfdb_iso': '1512.f', 'p': 89, 'prec': 20, 'unit': 5583861237920518367609084443237791733, 'val': 1}
  • id: 39923
    {'lmfdb_iso': '1512.f', 'p': 97, 'prec': 20, 'unit': 20898839262389957499656933867885918294, 'val': 1}