Elliptic curve data - 34650.cu1

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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': '34650cm', 'Clabel': '34650cm1', 'Cnumber': 1, 'abc_quality': 1.0076211759536098, 'absD': 1697461920000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 264, 'ainvs': [1, -1, 1, -4708505, -3930858503], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 34650, 'degree': 1032192, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5122097467323880022040511990', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2], 'jinv': [37537160298467283, 5519360000], 'lmfdb_iso': '34650.cu', 'lmfdb_label': '34650.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -188340, -31409200], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.c.1', '66.6.0.a.1', '88.6.0.?', '264.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.88353157401425554635723760469', 'prec': 103}, 'szpiro_ratio': 5.520707282900411, '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, 1, 0, 1, 0, 0, -1, 1, 0, 0, -1, 0, 4, -1, 0, 1, -2, 0, -6, 0], 'aplist': [1, 0, 0, -1, -1, 4, -2, -6, -6, -2, 0, 10, 6, 2, -2, -6, 0, -4, 8, -6, -6, 4, -12, -4, 2], 'class_deg': 2, 'class_size': 2, 'conductor': 34650, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '34650.cu', 'trace_hash': 494484507135227716}
• 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': '0.0065754024513233628494034753396', 'prec': 110}, 'conductor': 34650, 'gens': [], 'heights': [], 'lmfdb_label': '34650.cu1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10249026940228565195242770216', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8697275432639982546679756605794400001', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[-1241, 620, 1]], 'xcoord_integral_points': [-1241]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [7, 0], '3': 'a', '5': 'a', '7': [2, 0], '11': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '34650.cu1'}
• ec_torsion_growth •

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

  
  
  • id: 1720353
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '34650.cu1', 'torsion': [2, 2]}
  • id: 1720354
    {'degree': 4, 'field': [231, -60, -12, 0, 1], 'lmfdb_label': '34650.cu1', 'torsion': [4]}
  • id: 1720357
    {'degree': 8, 'field': [-675, 0, -3060, 0, -90, 0, 0, 0, 1], 'lmfdb_label': '34650.cu1', 'torsion': [6]}
  • id: 1720356
    {'degree': 8, 'field': [1936, 0, 1342, 0, 93, 0, -8, 0, 1], 'lmfdb_label': '34650.cu1', 'torsion': [2, 4]}
  • id: 1720355
    {'degree': 8, 'field': [53824, 0, -42104, 0, 2580, 0, -62, 0, 1], 'lmfdb_label': '34650.cu1', 'torsion': [2, 4]}
  • id: 1720358
    {'degree': 16, 'field': [127909024, -570064192, 1152546672, -1067577360, 554021162, -178252944, 37458944, -5142256, 561591, -206648, 107096, -28608, 3194, 48, -12, -8, 1], 'lmfdb_label': '34650.cu1', 'torsion': [8]}
  • id: 1720359
    {'degree': 16, 'field': [205295616, -341733888, 206000064, -18752448, -47321712, 29461092, -6246464, -909844, 816468, -153968, -6736, 6831, -952, 49, -9, -4, 1], 'lmfdb_label': '34650.cu1', '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: 813624
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 14, 'j_denominator_valuation': 14, 'kodaira_symbol': 18, 'lmfdb_label': '34650.cu1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 14}
  • id: 813625
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '34650.cu1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 813626
    {'conductor': 34650, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '34650.cu1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 813627
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '34650.cu1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 813628
    {'conductor': 34650, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '34650.cu1', 'prime': 11, '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: 1895486
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [92, 1, 175, 0], [261, 4, 260, 5], [26, 1, 119, 0], [133, 4, 2, 9], [233, 34, 32, 231]], 'adelic_image': '264.12.0.?', 'conductor': 34650, 'lmfdb_label': '34650.cu1', 'prime': 0}
  • id: 154092
    {'conductor': 34650, 'elladic_image': '2.3.0.1', 'lmfdb_label': '34650.cu1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 34650.cu does not appear in ec_padic