Elliptic curve data - 33600.he2

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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': '33600gt', 'Clabel': '33600gt4', 'Cnumber': 4, 'abc_quality': 1.0020619953336782, 'absD': 40642560000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 840, 'ainvs': [0, 1, 0, -1680033, 837540063], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 589824, 'elladic_images': ['8.24.0.10'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2346235662511274501790388361', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 186, 'isogeny_degrees': [1, 2, 4], 'jinv': [128031684631201, 9922500], 'lmfdb_iso': '33600.he', 'lmfdb_label': '33600.he2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1050, -13533], 'min_quad_twist_disc': -40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.24.0.e.2', '24.48.0-8.e.2.7', '40.48.0-8.e.2.3', '56.48.0.n.1', '120.96.0.?', '140.24.0.?', '168.96.0.?', '280.96.0.?', '840.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 11200], [5, 18, 1344], [7, 8, 4800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098730', 'prec': 103}, 'szpiro_ratio': 5.240366652671271, '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, 1, 0, 0, 0, 1, 0, 1, 0, 4, 0, -2, 0, 0, 0, -2, 0, -4, 0], 'aplist': [0, 1, 0, 1, 4, -2, -2, -4, -8, -6, 8, -2, 2, 12, -8, 6, 4, 2, -12, -8, 14, 0, -12, 2, -10], 'class_deg': 8, 'class_size': 6, 'conductor': 33600, 'isogeny_matrix': [[1, 2, 4, 8, 4, 8], [2, 1, 2, 4, 2, 4], [4, 2, 1, 8, 4, 8], [8, 4, 8, 1, 2, 4], [4, 2, 4, 2, 1, 2], [8, 4, 8, 4, 2, 1]], 'lmfdb_iso': '33600.he', 'trace_hash': 1553119229349692945}
• 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': '0.011455937407583796423773590337', 'prec': 107}, 'conductor': 33600, 'gens': [], 'heights': [], 'lmfdb_label': '33600.he2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.34555606814770570890782099751', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7644485451816456712625679800729909798', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[743, 0, 1], [753, 0, 1]], 'xcoord_integral_points': [-1497, 743, 753]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '33600.he2'}
• ec_torsion_growth •

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

  
  
  • id: 1672659
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 4]}
  • id: 1672662
    {'degree': 4, 'field': [1, 0, -8, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 8]}
  • id: 1672660
    {'degree': 4, 'field': [1, 0, 12, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 4]}
  • id: 1672661
    {'degree': 4, 'field': [36, 0, -2, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 4]}
  • id: 1672665
    {'degree': 8, 'field': [-1200, 0, 6560, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 6]}
  • id: 1672663
    {'degree': 8, 'field': [81, 0, 0, 0, -17, 0, 0, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [4, 4]}
  • id: 1672664
    {'degree': 8, 'field': [249, -66, 469, -350, 296, -62, 5, -2, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 8]}
  • id: 1672670
    {'degree': 16, 'field': [-17853156, 11640024, 19412676, -20877480, 2939922, 1814616, 1750608, -2223036, 687960, 28508, -53118, 5240, 1528, -160, -44, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 12]}
  • id: 1672668
    {'degree': 16, 'field': [7225, 0, -16020, 0, 11246, 0, -1272, 0, -1101, 0, 24, 0, 134, 0, -12, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [4, 8]}
  • id: 1672669
    {'degree': 16, 'field': [8100, 0, -102600, 0, 265680, 0, -198780, 0, 46741, 0, -436, 0, -114, 0, -16, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 16]}
  • id: 1672666
    {'degree': 16, 'field': [62001, 0, -221072, 0, 306652, 0, -46672, 0, -8842, 0, 464, 0, 188, 0, 16, 0, 1], 'lmfdb_label': '33600.he2', 'torsion': [2, 8]}
  • id: 1672667
    {'degree': 16, 'field': [252047376, 0, 0, 0, -3778488, 0, 0, 0, 40768, 0, 0, 0, -238, 0, 0, 0, 1], 'lmfdb_label': '33600.he2', '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: 788521
    {'conductor': 33600, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '33600.he2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 788522
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '33600.he2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 788523
    {'conductor': 33600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '33600.he2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 788524
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '33600.he2', 'prime': 7, '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: 1888775
    {'adelic_gens': [[7, 2, 702, 835], [837, 202, 218, 21], [833, 8, 832, 9], [281, 8, 284, 33], [1, 0, 8, 1], [833, 624, 6, 215], [503, 832, 332, 807], [5, 4, 836, 837], [1, 8, 0, 1]], 'adelic_image': '840.192.1.?', 'conductor': 33600, 'lmfdb_label': '33600.he2', 'prime': 0}
  • id: 150022
    {'conductor': 33600, 'elladic_image': '8.24.0.10', 'lmfdb_label': '33600.he2', 'modell_image': '2Cs', 'prime': 2}
• lmfdb_iso 33600.he does not appear in ec_padic