Elliptic curve data - 93600.bg2

Formats: - HTML - YAML - JSON - 2025-09-28T19:27:07.567434

• 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': '93600f', 'Clabel': '93600f1', 'Cnumber': 1, 'abc_quality': 0.9255042656096455, 'absD': 159924375000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, 0, 0, 6075, 580500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 93600, 'degree': 221184, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4072541991444618891221691114', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 32, 'isogeny_degrees': [1, 2], 'jinv': [1259712, 8125], 'lmfdb_iso': '93600.bg', 'lmfdb_label': '93600.bg2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 27, 172], 'min_quad_twist_disc': 60, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.b.1', '52.6.0.e.1', '78.6.0.?', '156.12.0.?'], '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, 975], [3, 2, 10400], [5, 18, 3744], [13, 14, 7200]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.56799756385364322143326054363', 'prec': 107}, 'szpiro_ratio': 3.5002346404744165, '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, -2, 0, 0, 0, -4, 0, 1, 0, 0, 0, -4, 0, 2, 0], 'aplist': [0, 0, 0, -2, -4, 1, -4, 2, 8, 0, -2, 10, 10, 0, 0, -8, 4, 2, -2, 0, -2, 0, 12, 6, 14], 'class_deg': 2, 'class_size': 2, 'conductor': 93600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '93600.bg', 'trace_hash': 1646073146716991667}
• 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': '0.059934175242186533089628313553', 'prec': 107}, 'conductor': 93600, 'gens': [], 'heights': [], 'lmfdb_label': '93600.bg2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.41730104461078134200431407981', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6692041784431253680172563192215051413', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-60, 0, 1]], 'xcoord_integral_points': [-60]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '93600.bg2'}
• ec_torsion_growth •

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

  
  
  • id: 4365688
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '93600.bg2', 'torsion': [2, 2]}
  • id: 4365689
    {'degree': 4, 'field': [-66, -30, -9, 0, 1], 'lmfdb_label': '93600.bg2', 'torsion': [4]}
  • id: 4365692
    {'degree': 8, 'field': [-27075, 0, 1880, 0, 570, 0, 0, 0, 1], 'lmfdb_label': '93600.bg2', 'torsion': [6]}
  • id: 4365690
    {'degree': 8, 'field': [256, 0, -275, 0, 87, 0, -5, 0, 1], 'lmfdb_label': '93600.bg2', 'torsion': [2, 4]}
  • id: 4365691
    {'degree': 8, 'field': [57196, -38704, 9524, -4132, 1231, -134, 71, -2, 1], 'lmfdb_label': '93600.bg2', 'torsion': [2, 4]}
  • id: 4365693
    {'degree': 16, 'field': [884705536, 0, -506751232, 0, -24314368, 0, 2568800, 0, -301340, 0, -3224, 0, 1520, 0, -44, 0, 1], 'lmfdb_label': '93600.bg2', 'torsion': [8]}
  • id: 4365694
    {'degree': 16, 'field': [1421398800, -4344732000, 4060417680, 570080160, -290039040, 9795960, -9472340, 5064520, -918099, -276688, 101168, -26496, 5690, -616, 108, -8, 1], 'lmfdb_label': '93600.bg2', '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: 2292458
    {'conductor': 93600, 'conductor_valuation': 5, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '93600.bg2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2292459
    {'conductor': 93600, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '93600.bg2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2292460
    {'conductor': 93600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '93600.bg2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 2292461
    {'conductor': 93600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93600.bg2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 2280153
    {'adelic_gens': [[1, 2, 2, 5], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [56, 1, 103, 0], [121, 40, 116, 39], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 93600, 'lmfdb_label': '93600.bg2', 'prime': 0}
  • id: 378726
    {'conductor': 93600, 'elladic_image': '2.3.0.1', 'lmfdb_label': '93600.bg2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 93600.bg does not appear in ec_padic