Elliptic curve data - 441.c2

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '441d', 'Clabel': '441d3', 'Cnumber': 3, 'abc_quality': 0.9802957926219806, 'absD': 29417779503, 'ainvs': [1, -1, 1, -965, -13940], 'analytic_rank': 1, 'bad_primes': [3, 7], 'class_deg': 14, 'class_size': 4, 'cm': -7, 'conductor': 441, 'degree': 224, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.72312282980608908112598728046', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 7, 'intrinsic_torsion': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 7, 14], 'jinv': [-3375, 1], 'lmfdb_iso': '441.c', 'lmfdb_label': '441.c2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -2, -1], 'min_quad_twist_disc': 21, 'modell_images': [], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 2, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': True, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0685237365405596481302553212', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 63], [3, 6, 49], [7, 20, 9]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.2856159263194507434006498956', 'prec': 103}, 'szpiro_ratio': 5.360848806714531, '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, 0, -1, 0, 0, 0, 3, 0, 0, -4, 0, 0, 0, 0, -1, 0, 0, 0, 0], 'aplist': [-1, 0, 0, 0, -4, 0, 0, 0, -8, -2, 0, -6, 0, -12, 0, 10, 0, 0, 4, -16, 0, 8, 0, 0, 0], 'class_deg': 14, 'class_size': 4, 'conductor': 441, 'isogeny_matrix': [[1, 2, 7, 14], [2, 1, 14, 7], [7, 14, 1, 2], [14, 7, 2, 1]], 'lmfdb_iso': '441.c', 'trace_hash': 709630126920189899}
• 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': '0.23545260001345460649991414134', 'prec': 103}, 'conductor': 441, 'gens': [[46, 170, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0685237365405596481302553212', 'prec': 100}], 'lmfdb_label': '441.c2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.42188320156824859739386023495', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2945586180598962800435659133072391525', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[37, -19, 1]], 'xcoord_integral_points': [37, 46, 380]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'o?', '3': 'a', '5': [1, 1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '441.c2'}
• ec_torsion_growth •

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

  
  
  • id: 19496
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '441.c2', 'torsion': [2, 2]}
  • id: 19497
    {'degree': 4, 'field': [-3, -18, -2, -2, 1], 'lmfdb_label': '441.c2', 'torsion': [4]}
  • id: 19498
    {'degree': 4, 'field': [16, 10, -4, -1, 1], 'lmfdb_label': '441.c2', 'torsion': [2, 4]}
  • id: 19499
    {'degree': 6, 'field': [1, -2, 5, 0, 3, -1, 1], 'lmfdb_label': '441.c2', 'torsion': [14]}
  • id: 19502
    {'degree': 8, 'field': [1, -5, 1, -2, 7, -5, 1, -2, 1], 'lmfdb_label': '441.c2', 'torsion': [6]}
  • id: 19500
    {'degree': 8, 'field': [36, -72, 72, -24, 13, -10, 2, -2, 1], 'lmfdb_label': '441.c2', 'torsion': [4, 4]}
  • id: 19501
    {'degree': 8, 'field': [64, 0, 67, 0, 41, 0, 11, 0, 1], 'lmfdb_label': '441.c2', 'torsion': [2, 8]}
  • id: 19503
    {'degree': 12, 'field': [1, -1, 0, 1, -1, 0, 1, 0, -1, 1, 0, -1, 1], 'lmfdb_label': '441.c2', 'torsion': [2, 14]}
  • id: 19507
    {'degree': 16, 'field': [1, -5, 24, -1, -16, 63, -26, -11, 57, -38, 16, 21, -16, 8, 3, -2, 1], 'lmfdb_label': '441.c2', 'torsion': [6, 6]}
  • id: 19506
    {'degree': 16, 'field': [121, 0, -813, 0, 3956, 0, 2391, 0, 1274, 0, 411, 0, 100, 0, 15, 0, 1], 'lmfdb_label': '441.c2', 'torsion': [2, 16]}
  • id: 19505
    {'degree': 16, 'field': [232, 488, -388, -924, 2530, -3200, 2268, -1090, 473, -350, 334, -222, 128, -70, 30, -8, 1], 'lmfdb_label': '441.c2', 'torsion': [4, 8]}
  • id: 19504
    {'degree': 16, 'field': [484, 2024, -6988, 13296, -15878, 13336, -8154, 2948, -163, -896, 826, -540, 272, -112, 36, -8, 1], 'lmfdb_label': '441.c2', 'torsion': [8]}
  • id: 19508
    {'degree': 20, 'field': [5671, 1658, 32779, 7840, 13317, -13069, 5165, -10579, 5856, -1159, 325, 33, 491, -322, 270, -88, -46, 16, 0, -2, 1], 'lmfdb_label': '441.c2', 'torsion': [2, 22]}
• 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: 4685
    {'conductor': 441, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '441.c2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4686
    {'conductor': 441, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '441.c2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
• lmfdb_label 441.c2 does not appear in ec_galrep
• ec_padic •

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

  
  
  • id: 6215
    {'lmfdb_iso': '441.c', 'p': 11, 'prec': 20, 'unit': 4340974823730795832, 'val': 1}
  • id: 6217
    {'lmfdb_iso': '441.c', 'p': 23, 'prec': 20, 'unit': 49994084118007964234281348, 'val': 1}
  • id: 6218
    {'lmfdb_iso': '441.c', 'p': 29, 'prec': 20, 'unit': 823385810749781646682560502, 'val': 1}
  • id: 6211
    {'lmfdb_iso': '441.c', 'p': 37, 'prec': 20, 'unit': 460054481209700666278150101010, 'val': 1}
  • id: 6213
    {'lmfdb_iso': '441.c', 'p': 43, 'prec': 20, 'unit': 10712450084748433423249804997285, 'val': 1}
  • id: 6216
    {'lmfdb_iso': '441.c', 'p': 53, 'prec': 20, 'unit': 252055903183395667593307939696505, 'val': 1}
  • id: 6210
    {'lmfdb_iso': '441.c', 'p': 67, 'prec': 20, 'unit': 44328301045025255335943327650524371, 'val': 1}
  • id: 6212
    {'lmfdb_iso': '441.c', 'p': 71, 'prec': 20, 'unit': 50011625863142677528424956617782493, 'val': 1}
  • id: 6214
    {'lmfdb_iso': '441.c', 'p': 79, 'prec': 20, 'unit': 326643486971404237434073066616449796, 'val': 1}