Elliptic curve data - 134640.dy3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '134640s', 'Clabel': '134640s2', 'Cnumber': 2, 'abc_quality': 0.9028696128251935, 'absD': 375900748185600, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 11220, 'ainvs': [0, 0, 0, -107787, 13588666], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 17], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 134640, 'degree': 786432, 'elladic_images': ['4.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6703696240981656599956262554', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 102, 'isogeny_degrees': [1, 2], 'jinv': [46380496070089, 125888400], 'lmfdb_iso': '134640.dy', 'lmfdb_label': '134640.dy3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -748, 7552], 'min_quad_twist_disc': 12, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0-2.a.1.1', '60.24.0-60.a.1.2', '2244.24.0.?', '3740.24.0.?', '11220.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 13, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2814525686358604846856063035', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42791629920416550488077151548', 'prec': 103}, 'szpiro_ratio': 3.9268354829338743, '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, 0, 0, 0, 0, -1, 0, -6, 0, 0, 0, 1, 0, -8, 0], 'aplist': [0, 0, 1, 0, -1, -6, 1, -8, -8, -6, -4, 10, -2, 4, 4, 6, -4, 14, -4, 8, 2, 16, 4, 6, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 134640, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '134640.dy', 'trace_hash': 34465196846128644}
• 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': '0.035410770695068113527664992356', 'prec': 107}, 'conductor': 134640, 'gens': [[215, 594, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2814525686358604846856063035', 'prec': 100}], 'lmfdb_label': '134640.dy3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.53748526521761846538664238223', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5100949897363512205326281777578917439', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[182, 0, 1], [197, 0, 1]], 'xcoord_integral_points': [-379, -73, 165, 182, 197, 215, 246, 677]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [6, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [2, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '134640.dy3'}
• ec_torsion_growth •

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

  
  
  • id: 6101159
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 4]}
  • id: 6101160
    {'degree': 4, 'field': [8790, -375, 49, -1, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 4]}
  • id: 6101161
    {'degree': 4, 'field': [19600, 0, 281, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 4]}
  • id: 6101164
    {'degree': 8, 'field': [-559872, 0, 0, 0, 2592, 0, -91, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 6]}
  • id: 6101163
    {'degree': 8, 'field': [1296, 0, -1404, -1260, -699, -210, -39, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 8]}
  • id: 6101162
    {'degree': 8, 'field': [77264100, 0, -720795, 0, 19231, 0, -97, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [4, 4]}
  • id: 6101166
    {'degree': 16, 'field': [11019960576, 0, 0, 0, 1196096544, 0, 0, 0, 6491745, 0, 0, 0, 11394, 0, 0, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 8]}
  • id: 6101167
    {'degree': 16, 'field': [54419558400, 0, -9069926400, 0, 125971200, 0, -8884080, 0, -1302480, 0, -38880, 0, 1729, 0, 91, 0, 1], 'lmfdb_label': '134640.dy3', 'torsion': [2, 12]}
  • id: 6101165
    {'degree': 16, 'field': [7213895789838336, 0, 119794556731392, 0, 294214238208, 0, 27870733824, 0, 852643600, 0, 6020064, 0, 57233, 0, 192, 0, 1], 'lmfdb_label': '134640.dy3', '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: 3321421
    {'conductor': 134640, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '134640.dy3', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3321422
    {'conductor': 134640, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '134640.dy3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3321423
    {'conductor': 134640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '134640.dy3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3321424
    {'conductor': 134640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '134640.dy3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3321425
    {'conductor': 134640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '134640.dy3', 'prime': 17, '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: 2540118
    {'adelic_gens': [[1, 0, 4, 1], [11217, 4, 11216, 5], [1, 4, 0, 1], [3301, 2, 0, 1], [3739, 11216, 7478, 11211], [5607, 11216, 11218, 11217], [4491, 2, 4486, 11219], [7141, 2, 0, 1]], 'adelic_image': '11220.48.0.?', 'conductor': 134640, 'lmfdb_label': '134640.dy3', 'prime': 0}
  • id: 522243
    {'conductor': 134640, 'elladic_image': '4.12.0.1', 'lmfdb_label': '134640.dy3', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 134640.dy does not appear in ec_padic