Elliptic curve data - 44520.x2

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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': '44520x', 'Clabel': '44520x2', 'Cnumber': 2, 'abc_quality': 0.8997559221647482, 'absD': 125866858521600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 6360, 'ainvs': [0, 1, 0, -19880, -940800], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 53], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 44520, 'degree': 221184, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4307775223739087156821136788', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [848583809246884, 122916854025], 'lmfdb_iso': '44520.x', 'lmfdb_label': '44520.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -19880, -940800], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '24.24.0-24.a.1.4', '1060.24.0.?', '6360.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 1], [3, 4, 14840], [5, 6, 8904], [7, 8, 6360], [53, 54, 840]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85315487190728762450108691092', 'prec': 103}, 'szpiro_ratio': 3.859047402303891, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 1, 0, 1, 0, 1, 0, 1, 0, 4, 0, -6, 0, 1, 0, 6, 0, 8, 0], 'aplist': [0, 1, 1, 1, 4, -6, 6, 8, 8, -2, 0, 2, -2, -8, 12, 1, 4, 10, -12, -4, 10, -8, -4, -14, -6], 'class_deg': 4, 'class_size': 4, 'conductor': 44520, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '44520.x', 'trace_hash': 1220843165401529993}
• 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': '0.057179773987356674452619447473', 'prec': 107}, 'conductor': 44520, 'gens': [], 'heights': [], 'lmfdb_label': '44520.x2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.40594891787117760256419300716', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8713870144541312307703160859630981798', 'prec': 130}, 'tamagawa_product': 192, 'torsion_generators': [[-56, 0, 1], [160, 0, 1]], 'xcoord_integral_points': [-105, -56, 160]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [7, 0], '5': [1, 0], '7': [1, 0], '53': [1, 0]}, 'iwp0': 5, 'lmfdb_label': '44520.x2'}
• ec_torsion_growth •

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

  
  
  • id: 2179232
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 4]}
  • id: 2179233
    {'degree': 4, 'field': [3594, 144, -143, -2, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 4]}
  • id: 2179234
    {'degree': 4, 'field': [4356, 0, 133, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 4]}
  • id: 2179237
    {'degree': 8, 'field': [-3888, 0, -2512, 0, -216, 0, 0, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 6]}
  • id: 2179236
    {'degree': 8, 'field': [6561, 0, -2916, 0, 780, 0, -36, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 8]}
  • id: 2179235
    {'degree': 8, 'field': [19055610, 157500, 1151586, 1584, 26419, -12, 266, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [4, 4]}
  • id: 2179240
    {'degree': 16, 'field': [22127616, 0, 7375872, 0, 614656, 0, 9091584, 0, 785856, 0, 12256, 0, 576, 0, 48, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 12]}
  • id: 2179238
    {'degree': 16, 'field': [43758225, 0, -597245400, 0, 324123120, 0, -56491560, 0, 5391666, 0, -135576, 0, -2064, 0, 24, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 8]}
  • id: 2179239
    {'degree': 16, 'field': [282429536481, 0, 0, 0, 8450443341, 0, 0, 0, -15743484, 0, 0, 0, 15901, 0, 0, 0, 1], 'lmfdb_label': '44520.x2', 'torsion': [2, 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: 1059834
    {'conductor': 44520, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '44520.x2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1059835
    {'conductor': 44520, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '44520.x2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1059836
    {'conductor': 44520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '44520.x2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1059837
    {'conductor': 44520, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '44520.x2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1059838
    {'conductor': 44520, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '44520.x2', 'prime': 53, '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: 1960923
    {'adelic_gens': [[3181, 2, 0, 1], [1, 0, 4, 1], [1591, 4, 0, 1], [1, 4, 0, 1], [2281, 4, 4562, 9], [4241, 2, 0, 1], [3817, 4, 1274, 9], [6357, 4, 6356, 5]], 'adelic_image': '6360.48.0.?', 'conductor': 44520, 'lmfdb_label': '44520.x2', 'prime': 0}
  • id: 193542
    {'conductor': 44520, 'elladic_image': '4.12.0.1', 'lmfdb_label': '44520.x2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 44520.x does not appear in ec_padic