Elliptic curve data - 244608.fp1

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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': '244608fp', 'Clabel': '244608fp1', 'Cnumber': 1, 'abc_quality': 0.9382782706787373, 'absD': 11454577311760128, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, 1, 0, -58767, -1904463], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 244608, 'degree': 1376256, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7737747832416086907806325221', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 145, 'isogeny_degrees': [1, 2], 'jinv': [2172747904, 1108809], 'lmfdb_iso': '244608.fp', 'lmfdb_label': '244608.fp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -1199, 5895], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.a.1', '56.12.0.bf.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 7], [3, 4, 81536], [7, 20, 4992], [13, 14, 18816]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14775594892317316099320344979', 'prec': 107}, 'szpiro_ratio': 3.5912103633728534, '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, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 4, 0, 4, 0], 'aplist': [0, 1, 2, 0, 2, 1, 4, 4, -4, -6, 0, -2, 8, 6, 0, -10, -12, 2, 2, 0, -4, 12, 12, 4, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 244608, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '244608.fp', 'trace_hash': 1119718669353005036}
• 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': '0.028795113784827289542066572328', 'prec': 107}, 'conductor': 244608, 'gens': [], 'heights': [], 'lmfdb_label': '244608.fp1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.32379217562334880682584163946', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1806748099735809092134662314198496449', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-33, 0, 1]], 'xcoord_integral_points': [-33]}
• lmfdb_label 244608.fp1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 10550128
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '244608.fp1', 'torsion': [2, 2]}
  • id: 10550129
    {'degree': 4, 'field': [63, 0, 14, 0, 1], 'lmfdb_label': '244608.fp1', 'torsion': [4]}
  • id: 10550132
    {'degree': 8, 'field': [-511707, 0, 85064, 0, 2478, 0, 0, 0, 1], 'lmfdb_label': '244608.fp1', 'torsion': [6]}
  • id: 10550131
    {'degree': 8, 'field': [162, 144, 324, 104, -26, 8, 16, -4, 1], 'lmfdb_label': '244608.fp1', 'torsion': [2, 4]}
  • id: 10550130
    {'degree': 8, 'field': [1296, 0, -200, 0, 146, 0, -46, 0, 1], 'lmfdb_label': '244608.fp1', 'torsion': [2, 4]}
  • id: 10550133
    {'degree': 16, 'field': [324, 0, 17504, 0, 320144, 0, -144128, 0, 33972, 0, -3984, 0, 488, 0, -32, 0, 1], 'lmfdb_label': '244608.fp1', 'torsion': [8]}
  • id: 10550134
    {'degree': 16, 'field': [1742895504, 0, -2819888064, 0, 1600202016, 0, -326568928, 0, 10833704, 0, 3920, 0, -1736, 0, -56, 0, 1], 'lmfdb_label': '244608.fp1', 'torsion': [2, 6]}
• 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: 6065463
    {'conductor': 244608, 'conductor_valuation': 7, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '244608.fp1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 6065464
    {'conductor': 244608, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '244608.fp1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 6065465
    {'conductor': 244608, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '244608.fp1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 6065466
    {'conductor': 244608, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '244608.fp1', 'prime': 13, '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: 3218458
    {'adelic_gens': [[1, 2, 2, 5], [29, 4, 2, 9], [36, 25, 49, 8], [3, 4, 8, 11], [53, 4, 52, 5], [12, 1, 39, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 244608, 'lmfdb_label': '244608.fp1', 'prime': 0}
  • id: 885173
    {'conductor': 244608, 'elladic_image': '8.6.0.3', 'lmfdb_label': '244608.fp1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 244608.fp does not appear in ec_padic