Elliptic curve data - 74360.o1

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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': '74360b', 'Clabel': '74360b2', 'Cnumber': 2, 'abc_quality': 0.8694881591931757, 'absD': 1646913382400, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [0, -1, 0, -3176, -29524], 'analytic_rank': 0, 'bad_primes': [2, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 74360, 'degree': 92160, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0386959344632500737819619142', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2], 'jinv': [787665674, 366025], 'lmfdb_iso': '74360.o', 'lmfdb_label': '74360.o1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3176, -29524], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.f.1', '104.6.0.?', '260.6.0.?', '520.12.0.?'], '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, 13], [5, 6, 14872], [11, 12, 6760], [13, 50, 440]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.23792632041541731053053939086', 'prec': 107}, 'szpiro_ratio': 3.1920383106834307, '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, 2, 0, -1, 0, 0, 0, 1, 0, -1, 0, 0, 0, -2, 0, -2, 0, 4, 0], 'aplist': [0, 2, -1, 0, -1, 0, -2, 4, -4, -6, -6, -6, -4, -10, -8, 4, -8, 14, -4, -2, -10, -8, 12, 4, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 74360, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '74360.o', 'trace_hash': 561177509753560626}
• 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': '0.12525647184605450258358049469', 'prec': 103}, 'conductor': 74360, 'gens': [], 'heights': [], 'lmfdb_label': '74360.o1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.66503733744531678829914095066', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.3300746748906335765982819013139440827', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[61, 0, 1]], 'xcoord_integral_points': [61]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '5': [0, 0], '11': [0, 0], '13': 'a'}, 'iwp0': 3, 'lmfdb_label': '74360.o1'}
• ec_torsion_growth •

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

  
  
  • id: 3520111
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '74360.o1', 'torsion': [2, 2]}
  • id: 3520112
    {'degree': 4, 'field': [104, 0, -26, 0, 1], 'lmfdb_label': '74360.o1', 'torsion': [4]}
  • id: 3520114
    {'degree': 8, 'field': [1, 0, -22, 0, 58, 0, -22, 0, 1], 'lmfdb_label': '74360.o1', 'torsion': [2, 4]}
  • id: 3520113
    {'degree': 8, 'field': [484, 0, -240, 0, 76, 0, -8, 0, 1], 'lmfdb_label': '74360.o1', 'torsion': [2, 4]}
  • id: 3520115
    {'degree': 8, 'field': [471981, -1705470, 553952, 7722, 3252, -1456, -12, 0, 1], 'lmfdb_label': '74360.o1', 'torsion': [6]}
  • id: 3520116
    {'degree': 16, 'field': [61842496, 0, -75705024, 0, 27066020, 0, -2622456, 0, -77246, 0, 19284, 0, -305, 0, -34, 0, 1], 'lmfdb_label': '74360.o1', 'torsion': [8]}
  • id: 3520117
    {'degree': 16, 'field': [4062787600, 0, -72034144, 0, -32747360, 0, 210288, 0, 150312, 0, -10920, 0, 940, 0, -52, 0, 1], 'lmfdb_label': '74360.o1', '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: 1805612
    {'conductor': 74360, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '74360.o1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1805613
    {'conductor': 74360, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '74360.o1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1805614
    {'conductor': 74360, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '74360.o1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1805615
    {'conductor': 74360, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '74360.o1', 'prime': 13, 'reduction_type': 0, '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: 2155323
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [457, 66, 64, 455], [417, 4, 314, 9], [2, 1, 259, 0], [517, 4, 516, 5], [164, 1, 479, 0]], 'adelic_image': '520.12.0.?', 'conductor': 74360, 'lmfdb_label': '74360.o1', 'prime': 0}
  • id: 307746
    {'conductor': 74360, 'elladic_image': '2.3.0.1', 'lmfdb_label': '74360.o1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 74360.o does not appear in ec_padic