Elliptic curve data - 34650.df7

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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': '34650da', 'Clabel': '34650da2', 'Cnumber': 2, 'abc_quality': 1.0177220575444834, 'absD': 189133594182225000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 9240, 'ainvs': [1, -1, 1, -1442480, -82391853], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 34650, 'degree': 1327104, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5805669971385072975167172629', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 83, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [29141055407581489, 16604321025600], 'lmfdb_iso': '34650.df', 'lmfdb_label': '34650.df7', 'lmfdb_number': 7, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -6411, 23985], 'min_quad_twist_disc': -15, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '15.8.0-3.a.1.1', '24.48.0-6.a.1.2', '30.48.0-6.a.1.2', '84.48.0.?', '120.96.0.?', '132.48.0.?', '168.96.0.?', '220.12.0.?', '264.96.0.?', '280.12.0.?', '420.96.0.?', '616.12.0.?', '660.96.0.?', '840.192.1.?', '924.96.1.?', '1320.192.1.?', '1848.192.1.?', '3080.24.0.?', '4620.192.1.?', '9240.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 225], [3, 2, 275], [5, 18, 1386], [7, 8, 4950], [11, 12, 3150]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2265418965874022645187149778', 'prec': 100}, 'szpiro_ratio': 5.181187314005298, '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, 1, 0, 1, 0, 0, -1, 1, 0, 0, 1, 0, -2, -1, 0, 1, 6, 0, -4, 0], 'aplist': [1, 0, 0, -1, 1, -2, 6, -4, 0, -6, 8, 10, 6, -8, 0, 6, -12, 2, 4, -12, 10, -4, -12, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 34650, 'isogeny_matrix': [[1, 4, 2, 12, 3, 4, 6, 12], [4, 1, 2, 3, 12, 4, 6, 12], [2, 2, 1, 6, 6, 2, 3, 6], [12, 3, 6, 1, 4, 12, 2, 4], [3, 12, 6, 4, 1, 12, 2, 4], [4, 4, 2, 12, 12, 1, 6, 3], [6, 6, 3, 2, 2, 6, 1, 2], [12, 12, 6, 4, 4, 3, 2, 1]], 'lmfdb_iso': '34650.df', 'trace_hash': 1718130821226565184}
• 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': '0.0057351923214245739340478189362', 'prec': 110}, 'conductor': 34650, 'gens': [], 'heights': [], 'lmfdb_label': '34650.df7', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14899178876474568774447367764', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5758029303538965058673682633280402475', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-1171, 585, 1], [1229, -615, 1]], 'xcoord_integral_points': [-1171, 1229]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [5, 0], '3': 'a', '5': 'a', '7': [0, 0], '11': [3, 0]}, 'iwp0': 5, 'lmfdb_label': '34650.df7'}
• ec_torsion_growth •

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

  
  
  • id: 1720698
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 6]}
  • id: 1720701
    {'degree': 4, 'field': [70, -40, 41, -2, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 4]}
  • id: 1720700
    {'degree': 4, 'field': [256, 0, -38, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 4]}
  • id: 1720699
    {'degree': 4, 'field': [1600, 0, 25, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 4]}
  • id: 1720702
    {'degree': 6, 'field': [271, 239, 0, -65, 0, -1, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 6]}
  • id: 1720703
    {'degree': 8, 'field': [124, -268, 1141, -586, 447, -80, 7, -2, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 12]}
  • id: 1720704
    {'degree': 8, 'field': [184, 216, -146, -152, 107, -40, 18, -4, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 12]}
  • id: 1720705
    {'degree': 8, 'field': [3600, 0, -15, 0, 499, 0, 19, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 12]}
  • id: 1720706
    {'degree': 12, 'field': [8464, 11316, 7343, 3075, -1680, -849, 739, -348, 45, -15, 8, -3, 1], 'lmfdb_label': '34650.df7', 'torsion': [6, 6]}
  • id: 1720707
    {'degree': 16, 'field': [24010000, 0, 0, 0, -10563175, 0, 0, 0, 1163331, 0, 0, 0, 443, 0, 0, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [4, 4]}
  • id: 1720709
    {'degree': 16, 'field': [424524816, 0, -222140928, 0, 38209888, 0, -5206016, 0, 1233560, 0, -150656, 0, 6488, 0, -128, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 8]}
  • id: 1720710
    {'degree': 16, 'field': [1204437025, 0, 65291600, 0, 13691260, 0, 102351920, 0, 19545766, 0, 1679024, 0, 59836, 0, 464, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 8]}
  • id: 1720708
    {'degree': 16, 'field': [107200640625, -117464156250, 105172537500, -41735793750, 16307944375, -5744943750, 1527862500, -311615500, 56162700, -8109150, 1118820, -141750, 14919, -1330, 156, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 8]}
  • id: 1720711
    {'degree': 18, 'field': [1030818160744, 489778616736, 852588468180, 291290270934, 300322928142, 56456691012, 43990580115, 3832527690, 3508956126, 9270676, 158265711, -4524210, 4029810, -121032, 55593, -990, 378, 0, 1], 'lmfdb_label': '34650.df7', 'torsion': [2, 18]}
• 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: 813789
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '34650.df7', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 813790
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '34650.df7', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 813791
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '34650.df7', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 813792
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '34650.df7', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 813793
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34650.df7', 'prime': 11, '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: 1895517
    {'adelic_gens': [[2521, 12, 5886, 73], [9, 4, 9224, 9233], [5543, 9234, 0, 9239], [4621, 6, 0, 1], [1, 0, 12, 1], [2311, 6, 0, 1], [9229, 12, 9228, 13], [6159, 9236, 1538, 9231], [1, 12, 0, 1], [7, 6, 5274, 9235]], 'adelic_image': '9240.384.5.?', 'conductor': 34650, 'lmfdb_label': '34650.df7', 'prime': 0}
  • id: 154132
    {'conductor': 34650, 'elladic_image': '2.6.0.1', 'lmfdb_label': '34650.df7', 'modell_image': '2Cs', 'prime': 2}
  • id: 154133
    {'conductor': 34650, 'elladic_image': '3.4.0.1', 'lmfdb_label': '34650.df7', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 34650.df does not appear in ec_padic