Elliptic curve data - 33600.he4

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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': '33600gt', 'Clabel': '33600gt3', 'Cnumber': 3, 'abc_quality': 0.9866121641692004, 'absD': 1416757493760000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 1, 0, -592033, -165915937], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 33600, 'degree': 589824, 'elladic_images': ['8.24.0.90'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2346235662511274501790388361', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 186, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [5602762882081, 345888060], 'lmfdb_iso': '33600.he', 'lmfdb_label': '33600.he4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -370, 2435], 'min_quad_twist_disc': -40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.2', '24.48.0-8.bb.2.7', '40.48.0-8.bb.2.8', '60.12.0.h.1', '112.48.0.?', '120.96.0.?', '336.96.0.?', '560.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.39018383919415929875281098730', 'prec': 103}, 'szpiro_ratio': 4.940142755644068, '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, 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.he4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.17277803407385285445391049875', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.7644485451816456712625679800729909798', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-527, 0, 1]], 'xcoord_integral_points': [-527]}
• 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.he4'}
• ec_torsion_growth •

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

  
  
  • id: 1672641
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 2]}
  • id: 1672642
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [4]}
  • id: 1672643
    {'degree': 2, 'field': [10, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [4]}
  • id: 1672644
    {'degree': 4, 'field': [1, 0, 8, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 4]}
  • id: 1672645
    {'degree': 4, 'field': [9, 0, 4, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [8]}
  • id: 1672646
    {'degree': 4, 'field': [100, 0, -10, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [8]}
  • id: 1672650
    {'degree': 8, 'field': [-1200, 0, 6560, 0, 120, 0, 0, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [6]}
  • id: 1672648
    {'degree': 8, 'field': [36, 0, -54, 0, 21, 0, 6, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [8]}
  • id: 1672649
    {'degree': 8, 'field': [81, 0, -36, 0, 7, 0, -4, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 8]}
  • id: 1672647
    {'degree': 8, 'field': [196, 0, -124, 0, 21, 0, -4, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 4]}
  • id: 1672652
    {'degree': 16, 'field': [-8604, 7920, -6192, -13680, 3888, -2160, 8136, 5040, -1920, -1320, -384, -120, 48, 0, -12, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 8]}
  • id: 1672653
    {'degree': 16, 'field': [225, 0, 900, 0, 870, 0, 660, 0, 451, 0, 196, 0, 66, 0, 16, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 8]}
  • id: 1672651
    {'degree': 16, 'field': [256, 0, 0, 0, 16, 0, 0, 0, 216, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [4, 4]}
  • id: 1672656
    {'degree': 16, 'field': [1595169, 0, 3760368, 0, -1100900, 0, 11136, 0, 6150, 0, 2704, 0, -372, 0, 0, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [2, 6]}
  • id: 1672654
    {'degree': 16, 'field': [2099601, 0, -1167264, 0, -299736, 0, 90672, 0, 50434, 0, 9504, 0, 936, 0, 48, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [16]}
  • id: 1672657
    {'degree': 16, 'field': [2229660, 14818680, 52768260, 11014200, -5986470, -2155680, 453456, 18684, 21996, 2436, -2750, 840, 12, -32, -12, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [12]}
  • id: 1672655
    {'degree': 16, 'field': [12960000, 0, 25920000, 0, 43740000, 0, 15336000, 0, 4194900, 0, 255600, 0, 12150, 0, 120, 0, 1], 'lmfdb_label': '33600.he4', 'torsion': [16]}
  • id: 1672658
    {'degree': 16, 'field': [114030476, -110730248, 144796204, -74318380, 53384870, -21657876, 11048629, -3660088, 1408520, -362710, 107445, -20572, 4733, -630, 110, -8, 1], 'lmfdb_label': '33600.he4', 'torsion': [12]}
• 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: 788517
    {'conductor': 33600, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '33600.he4', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 788518
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '33600.he4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 788519
    {'conductor': 33600, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '33600.he4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 788520
    {'conductor': 33600, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '33600.he4', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1888777
    {'adelic_gens': [[5, 4, 1676, 1677], [1, 16, 0, 1], [1665, 16, 1664, 17], [1462, 409, 293, 954], [15, 2, 1582, 1667], [241, 16, 248, 129], [568, 1, 1199, 10], [664, 1679, 257, 1670], [1, 0, 16, 1], [1667, 1664, 996, 935]], 'adelic_image': '1680.192.1.?', 'conductor': 33600, 'lmfdb_label': '33600.he4', 'prime': 0}
  • id: 150024
    {'conductor': 33600, 'elladic_image': '8.24.0.90', 'lmfdb_label': '33600.he4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 33600.he does not appear in ec_padic