Elliptic curve data - 4014.b1

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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': '4014b', 'Clabel': '4014b1', 'Cnumber': 1, 'abc_quality': 1.0041069927997708, 'absD': 1123663104, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 2676, 'ainvs': [1, -1, 0, 255, -451], 'analytic_rank': 2, 'bad_primes': [2, 3, 223], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 4014, 'degree': 2688, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.42581752263786305205819745330', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [92959677, 57088], 'lmfdb_iso': '4014.b', 'lmfdb_label': '4014.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 255, -451], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['2676.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 14, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.85291096348783080975210587870', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 669], [3, 2, 446], [223, 224, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39814169386321921648823647439', 'prec': 107}, 'szpiro_ratio': 3.4028368606404347, '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, -1, 0, -4, -1, 0, 1, -2, 0, -6, 4, 0, 1, -8, 0, -6, -1], 'aplist': [-1, 0, -1, -4, -2, -6, -8, -6, -2, 0, -4, -1, -2, 6, 3, 14, 10, -6, -13, 6, -11, -5, -9, -12, 18], 'class_deg': 1, 'class_size': 1, 'conductor': 4014, 'isogeny_matrix': [[1]], 'lmfdb_iso': '4014.b', 'trace_hash': 254033994554575892}
• 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': '0.42671666019199934969803697092', 'prec': 103}, 'conductor': 4014, 'gens': [[34, 199, 1], [7, 37, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.72383544741603332701851523441', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.3184639731395525360270333317', 'prec': 100}], 'lmfdb_label': '4014.b1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.89464252212710639302169000334', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0522016620984532323340748536036215389', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [2, 5, 7, 34, 50, 269, 1249]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': 'a', '5': [2, 0], '7': [2, 0], '11': [2, 0], '13': [2, 0], '17': [2, 0], '19': [2, 0], '23': [2, 0], '29': [2, 2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0], '223': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '4014.b1'}
• ec_torsion_growth •

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

  
  
  • id: 208775
    {'degree': 3, 'field': [-21, -11, -1, 1], 'lmfdb_label': '4014.b1', 'torsion': [2]}
  • id: 208776
    {'degree': 6, 'field': [1296, -648, 822, -90, 19, -2, 1], 'lmfdb_label': '4014.b1', 'torsion': [2, 2]}
  • id: 208777
    {'degree': 8, 'field': [-278, 29, 28, -115, 61, -7, 7, -4, 1], 'lmfdb_label': '4014.b1', 'torsion': [3]}
  • id: 208778
    {'degree': 12, 'field': [-24662016, 0, 1941840, 0, -114300, 0, 11160, 0, -672, 0, 0, 0, 1], 'lmfdb_label': '4014.b1', '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: 74988
    {'conductor': 4014, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '4014.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 74989
    {'conductor': 4014, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '4014.b1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 74990
    {'conductor': 4014, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4014.b1', 'prime': 223, '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

  
  {'adelic_gens': [[2675, 2, 2674, 3], [1339, 2, 1339, 3], [1, 1, 2675, 0], [893, 2, 893, 3], [1, 2, 0, 1], [1, 0, 2, 1], [2233, 2, 2233, 3]], 'adelic_image': '2676.2.0.?', 'conductor': 4014, 'lmfdb_label': '4014.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 140375
    {'lmfdb_iso': '4014.b', 'p': 5, 'prec': 20, 'unit': 2439078217556, 'val': 2}
  • id: 140376
    {'lmfdb_iso': '4014.b', 'p': 7, 'prec': 20, 'unit': 2980720406370557, 'val': 2}
  • id: 140377
    {'lmfdb_iso': '4014.b', 'p': 11, 'prec': 20, 'unit': 19753210281186057519, 'val': 2}
  • id: 140378
    {'lmfdb_iso': '4014.b', 'p': 13, 'prec': 20, 'unit': 1173091675275326429315, 'val': 2}
  • id: 140379
    {'lmfdb_iso': '4014.b', 'p': 17, 'prec': 20, 'unit': 154431714813578391909026, 'val': 2}
  • id: 140380
    {'lmfdb_iso': '4014.b', 'p': 19, 'prec': 20, 'unit': 1604592156593921748098145, 'val': 2}
  • id: 140381
    {'lmfdb_iso': '4014.b', 'p': 23, 'prec': 20, 'unit': 1518757253523972920263747, 'val': 2}
  • id: 140382
    {'lmfdb_iso': '4014.b', 'p': 31, 'prec': 20, 'unit': 3876611990488085304157485667, 'val': 2}
  • id: 140383
    {'lmfdb_iso': '4014.b', 'p': 37, 'prec': 20, 'unit': 491744846496102439104886299415, 'val': 2}
  • id: 140384
    {'lmfdb_iso': '4014.b', 'p': 41, 'prec': 20, 'unit': 1045941402279282275672698308436, 'val': 2}
  • id: 140385
    {'lmfdb_iso': '4014.b', 'p': 43, 'prec': 20, 'unit': 2129850247672753535677302264281, 'val': 2}
  • id: 140386
    {'lmfdb_iso': '4014.b', 'p': 47, 'prec': 20, 'unit': 4465621110546786144465885404402, 'val': 2}
  • id: 140387
    {'lmfdb_iso': '4014.b', 'p': 53, 'prec': 20, 'unit': 134509093498378914661020614696945, 'val': 2}
  • id: 140388
    {'lmfdb_iso': '4014.b', 'p': 59, 'prec': 20, 'unit': 4193945184524110115911107831910166, 'val': 2}
  • id: 140389
    {'lmfdb_iso': '4014.b', 'p': 61, 'prec': 20, 'unit': 2280486027473767007150399587366539, 'val': 2}
  • id: 140390
    {'lmfdb_iso': '4014.b', 'p': 67, 'prec': 20, 'unit': 14152854995472431280489363908855927, 'val': 2}
  • id: 140391
    {'lmfdb_iso': '4014.b', 'p': 71, 'prec': 20, 'unit': 27857276325309119848006563751227554, 'val': 2}
  • id: 140392
    {'lmfdb_iso': '4014.b', 'p': 73, 'prec': 20, 'unit': 213539591254948567142538508563801677, 'val': 2}
  • id: 140393
    {'lmfdb_iso': '4014.b', 'p': 79, 'prec': 20, 'unit': 401861812742899019512724232250362383, 'val': 2}
  • id: 140394
    {'lmfdb_iso': '4014.b', 'p': 83, 'prec': 20, 'unit': 2100532657170881957078089573238368434, 'val': 2}
  • id: 140395
    {'lmfdb_iso': '4014.b', 'p': 89, 'prec': 20, 'unit': 9435957763074680244359947652658127546, 'val': 2}
  • id: 140396
    {'lmfdb_iso': '4014.b', 'p': 97, 'prec': 20, 'unit': 48556308452369516808959007618839028022, 'val': 2}