Elliptic curve data - 44352.dd1

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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': '44352cj', 'Clabel': '44352cj2', 'Cnumber': 2, 'abc_quality': 1.0353155241318501, 'absD': 240538271483715564699648, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 616, 'ainvs': [0, 0, 0, -58843020, -172126398544], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 44352, 'degree': 5160960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3022726487671565476253339205', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 81, 'isogeny_degrees': [1, 2], 'jinv': [943259332190261813000, 10069472554261659], 'lmfdb_iso': '44352.dd', 'lmfdb_label': '44352.dd1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1634528, -796336632], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '88.6.0.?', '616.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 99], [3, 6, 704], [5, 2, 4032], [7, 8, 6336], [11, 12, 4032]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.8865325287331700651561711502', 'prec': 100}, 'szpiro_ratio': 6.101428475454053, '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, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, -4, 0, 6, 0], 'aplist': [0, 0, 0, 1, 1, 2, -4, 6, 4, -2, 10, 6, 12, 12, 6, -6, 0, -6, 4, 8, 8, 16, -2, -10, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 44352, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '44352.dd', 'trace_hash': 801799923949926181}
• 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': '0.0013541987912123904408046742818', 'prec': 110}, 'conductor': 44352, 'gens': [], 'heights': [], 'lmfdb_label': '44352.dd1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.054545118022444879509186802537', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2727070813466927705512081522120752651', 'prec': 130}, 'tamagawa_product': 240, 'torsion_generators': [[-4076, 0, 1]], 'xcoord_integral_points': [-4076]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [4, 6, 0], '7': [1, 0], '11': [1, 0]}, 'iwp0': 7, 'lmfdb_label': '44352.dd1'}
• ec_torsion_growth •

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

  
  
  • id: 2170543
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '44352.dd1', 'torsion': [2, 2]}
  • id: 2170544
    {'degree': 4, 'field': [198, 0, 27, 0, 1], 'lmfdb_label': '44352.dd1', 'torsion': [4]}
  • id: 2170547
    {'degree': 8, 'field': [-363, 0, 0, 0, 66, 0, 16, 0, 1], 'lmfdb_label': '44352.dd1', 'torsion': [6]}
  • id: 2170546
    {'degree': 8, 'field': [81796, 0, 9680, 0, 132, 0, -88, 0, 1], 'lmfdb_label': '44352.dd1', 'torsion': [2, 4]}
  • id: 2170545
    {'degree': 8, 'field': [101761, 0, 1122, 0, 26, 0, 18, 0, 1], 'lmfdb_label': '44352.dd1', 'torsion': [2, 4]}
  • id: 2170549
    {'degree': 16, 'field': [2640625, 0, -981132, 0, -804788, 0, 198532, 0, 39834, 0, -15452, 0, 1516, 0, -60, 0, 1], 'lmfdb_label': '44352.dd1', 'torsion': [2, 6]}
  • id: 2170548
    {'degree': 16, 'field': [8820215056, 0, -439051680, 0, -104704880, 0, 11529840, 0, 183624, 0, -96600, 0, 4900, 0, -60, 0, 1], 'lmfdb_label': '44352.dd1', '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: 1055161
    {'conductor': 44352, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '44352.dd1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1055162
    {'conductor': 44352, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '44352.dd1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1055163
    {'conductor': 44352, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '44352.dd1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1055164
    {'conductor': 44352, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '44352.dd1', 'prime': 11, '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

  
  
  • id: 1959712
    {'adelic_gens': [[1, 0, 4, 1], [353, 4, 90, 9], [3, 4, 8, 11], [613, 4, 612, 5], [1, 2, 2, 5], [1, 4, 0, 1], [2, 1, 307, 0], [540, 81, 385, 232], [114, 1, 559, 0]], 'adelic_image': '616.12.0.?', 'conductor': 44352, 'lmfdb_label': '44352.dd1', 'prime': 0}
  • id: 192812
    {'conductor': 44352, 'elladic_image': '2.3.0.1', 'lmfdb_label': '44352.dd1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 44352.dd does not appear in ec_padic