Elliptic curve data - 102960.bt1

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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': '102960cg', 'Clabel': '102960cg2', 'Cnumber': 2, 'abc_quality': 1.0406560103996871, 'absD': 158164398171852374016000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 17160, 'ainvs': [0, 0, 0, -1437723, 19145797578], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 102960, 'degree': 7838208, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1306007557588145731946089169', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 45, 'isogeny_degrees': [1, 3], 'jinv': [-4076600308125723, 1961812478912000], 'lmfdb_iso': '102960.bt', 'lmfdb_label': '102960.bt1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -9984, 11082240], 'min_quad_twist_disc': 12, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '12.8.0-3.a.1.2', '17160.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 2145], [3, 2, 208], [5, 6, 20592], [11, 12, 9360], [13, 14, 7920]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6134943586977869952309428677', 'prec': 100}, 'szpiro_ratio': 5.274071930368732, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 1, 0, 1, 0, 0, 0, 0, 0, -5, 0], 'aplist': [0, 0, -1, 1, 1, 1, 0, -5, 6, 0, 7, 8, 6, 7, 3, 0, 9, 5, -5, 12, -4, -11, 9, -3, 5], 'class_deg': 3, 'class_size': 2, 'conductor': 102960, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '102960.bt', 'trace_hash': 133473274005025764}
• 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': '0.0019089507918084223976095854073', 'prec': 110}, 'conductor': 102960, 'gens': [], 'heights': [], 'lmfdb_label': '102960.bt1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.083011681093698400052769585079', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.9884205193731424018997050628355348507', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [0, 0], '7': [2, 0], '11': [1, 0], '13': [1, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '102960.bt1'}
• ec_torsion_growth •

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

  
  
  • id: 4768494
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [3]}
  • id: 4768495
    {'degree': 3, 'field': [-78, 10, -1, 1], 'lmfdb_label': '102960.bt1', 'torsion': [2]}
  • id: 4768497
    {'degree': 6, 'field': [169, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [3]}
  • id: 4768498
    {'degree': 6, 'field': [198, 132, -104, -120, -29, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [6]}
  • id: 4768496
    {'degree': 6, 'field': [32400, 0, 4650, -360, 1, -2, 1], 'lmfdb_label': '102960.bt1', 'torsion': [2, 2]}
  • id: 4768500
    {'degree': 12, 'field': [38416, 0, 14700, 0, 5037, 0, 617, 0, 84, 0, -3, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [3, 3]}
  • id: 4768501
    {'degree': 12, 'field': [12185316, 5683392, 1774800, 559728, -92220, -198720, -34124, 11592, 3537, -184, -102, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [2, 6]}
  • id: 4768499
    {'degree': 12, 'field': [21487377808, 16254401904, 4007381820, 235234064, -66032580, -12002736, -201552, 100968, 4560, -772, -21, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [4]}
  • id: 4768502
    {'degree': 18, 'field': [-9075, 0, 65475, 0, -170865, 0, 191424, 0, -80307, 0, 450, 0, 3435, 0, 510, 0, 33, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [9]}
  • id: 4768503
    {'degree': 18, 'field': [60164970130, -111295818900, 86916355722, -25585924284, 2487669219, -1115828784, 946044660, -141771798, 19404441, -14321952, 3834999, -484218, 54975, -5796, 1323, -198, 0, 0, 1], 'lmfdb_label': '102960.bt1', 'torsion': [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: 2528122
    {'conductor': 102960, 'conductor_valuation': 4, 'discriminant_valuation': 21, 'j_denominator_valuation': 9, 'kodaira_symbol': -17, 'lmfdb_label': '102960.bt1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2528123
    {'conductor': 102960, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '102960.bt1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2528124
    {'conductor': 102960, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '102960.bt1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 2528125
    {'conductor': 102960, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '102960.bt1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 9}
  • id: 2528126
    {'conductor': 102960, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '102960.bt1', '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: 2339922
    {'adelic_gens': [[10297, 6, 13731, 19], [4, 3, 9, 7], [7801, 6, 6243, 19], [8581, 6, 8583, 19], [17155, 6, 17154, 7], [1, 6, 0, 1], [2641, 6, 7923, 19], [3, 4, 8, 11], [4289, 17154, 12867, 17141], [1, 0, 6, 1], [714, 16439, 5717, 4986]], 'adelic_image': '17160.16.0.?', 'conductor': 102960, 'lmfdb_label': '102960.bt1', 'prime': 0}
  • id: 412275
    {'conductor': 102960, 'elladic_image': '3.4.0.1', 'lmfdb_label': '102960.bt1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 102960.bt does not appear in ec_padic