Elliptic curve data - 95760.f2

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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': '95760s', 'Clabel': '95760s2', 'Cnumber': 2, 'abc_quality': 1.0293174489791943, 'absD': 2527475076000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [0, 0, 0, -35703, -944298], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 95760, 'degree': 393216, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6482181337413130053430925118', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [26969341851216, 13543140625], 'lmfdb_iso': '95760.f', 'lmfdb_label': '95760.f2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -3967, -34974], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0.b.1', '60.24.0-20.b.1.2', '76.12.0.?', '228.24.0.?', '380.24.0.?', '1140.48.0.?'], '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, 9], [3, 6, 2128], [5, 6, 19152], [7, 8, 13680], [19, 20, 5040]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.63681386903396128670064847903', 'prec': 103}, 'szpiro_ratio': 3.7544963860009113, '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, 0, 0, -1, 0, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, -1, 0], 'aplist': [0, 0, -1, -1, -4, 2, -2, -1, 0, 10, 0, 10, 6, -4, 0, -2, -12, -2, 0, -8, 10, 8, -12, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 95760, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '95760.f', 'trace_hash': 26247449923102859}
• 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': '0.037014843634328968892241297444', 'prec': 107}, 'conductor': 95760, 'gens': [], 'heights': [], 'lmfdb_label': '95760.f2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.36602517323083613979745304879', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4641006929233445591898121951588965161', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-27, 0, 1], [201, 0, 1]], 'xcoord_integral_points': [-174, -27, 201]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [0, 0], '19': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '95760.f2'}
• ec_torsion_growth •

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

  
  
  • id: 4458965
    {'degree': 4, 'field': [1, 1, 2, -1, 1], 'lmfdb_label': '95760.f2', 'torsion': [2, 4]}
  • id: 4458967
    {'degree': 4, 'field': [61, -4, 5, -2, 1], 'lmfdb_label': '95760.f2', 'torsion': [2, 4]}
  • id: 4458966
    {'degree': 4, 'field': [400, 0, -55, 0, 1], 'lmfdb_label': '95760.f2', 'torsion': [2, 4]}
  • id: 4458968
    {'degree': 8, 'field': [-9408, 0, 0, 0, 336, 0, 36, 0, 1], 'lmfdb_label': '95760.f2', 'torsion': [2, 6]}
  • id: 4458969
    {'degree': 16, 'field': [59536, 0, -166712, 0, 226937, 0, -124812, 0, 40268, 0, -7446, 0, 788, 0, -44, 0, 1], 'lmfdb_label': '95760.f2', 'torsion': [4, 4]}
  • id: 4458971
    {'degree': 16, 'field': [17757796, 0, -22143296, 0, 7367105, 0, -84734, 0, -130301, 0, -2644, 0, 1175, 0, -46, 0, 1], 'lmfdb_label': '95760.f2', 'torsion': [2, 8]}
  • id: 4458970
    {'degree': 16, 'field': [1908029761, 0, 816659976, 0, 355175265, 0, -2935956, 0, -139216, 0, -38166, 0, 165, 0, 6, 0, 1], 'lmfdb_label': '95760.f2', 'torsion': [2, 8]}
  • id: 4458972
    {'degree': 16, 'field': [93207479401, 0, -19796049692, 0, 2047820996, 0, -148243562, 0, 8620570, 0, -344188, 0, 8201, 0, -118, 0, 1], 'lmfdb_label': '95760.f2', '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: 2348060
    {'conductor': 95760, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '95760.f2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2348061
    {'conductor': 95760, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '95760.f2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 2348062
    {'conductor': 95760, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '95760.f2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2348063
    {'conductor': 95760, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '95760.f2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2348064
    {'conductor': 95760, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '95760.f2', 'prime': 19, '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: 2294469
    {'adelic_gens': [[1, 0, 4, 1], [457, 384, 534, 769], [1137, 4, 1136, 5], [379, 0, 0, 1139], [569, 756, 0, 1139], [1, 4, 0, 1], [781, 762, 0, 1]], 'adelic_image': '1140.48.0.?', 'conductor': 95760, 'lmfdb_label': '95760.f2', 'prime': 0}
  • id: 386763
    {'conductor': 95760, 'elladic_image': '2.6.0.1', 'lmfdb_label': '95760.f2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 95760.f does not appear in ec_padic