Elliptic curve data - 76050.ch4

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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': '76050bh', 'Clabel': '76050bh3', 'Cnumber': 3, 'abc_quality': 1.0889768744744426, 'absD': 22648476688233398437500, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1560, 'ainvs': [1, -1, 0, 2052558, 7151125216], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 76050, 'degree': 4644864, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9697494014838561401720848138', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 59, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [17394111071, 411937500], 'lmfdb_iso': '76050.ch', 'lmfdb_label': '76050.ch4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 54, -960], 'min_quad_twist_disc': -195, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '24.24.0-6.a.1.16', '30.24.0-6.a.1.4', '40.6.0.c.1', '78.24.0.?', '120.48.0.?', '195.8.0.?', '312.48.0.?', '390.48.0.?', '1560.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 38025], [3, 8, 8450], [5, 18, 3042], [13, 98, 450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.33324962220198273914733880794', 'prec': 103}, 'szpiro_ratio': 5.2409995024075355, '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, 2, -1, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, -2, 0], 'aplist': [-1, 0, 0, 2, 0, 0, 0, -2, -6, 0, 4, 2, -6, 4, 0, -6, 0, -10, 8, 0, 8, 8, 12, 6, 8], 'class_deg': 6, 'class_size': 4, 'conductor': 76050, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '76050.ch', 'trace_hash': 1235185926067837604}
• 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': '0.0026333491470993202279096028074', 'prec': 110}, 'conductor': 76050, 'gens': [], 'heights': [], 'lmfdb_label': '76050.ch4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.090268802389451190308264830031', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4443008382312190449322372804966460003', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-1576, 788, 1]], 'xcoord_integral_points': [-1576]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '5': 'a', '13': 'a'}, 'iwp0': 5, 'lmfdb_label': '76050.ch4'}
• ec_torsion_growth •

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

  
  
  • id: 3595068
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '76050.ch4', 'torsion': [6]}
  • id: 3595067
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 2]}
  • id: 3595069
    {'degree': 4, 'field': [9, -6, -3, -2, 1], 'lmfdb_label': '76050.ch4', 'torsion': [4]}
  • id: 3595070
    {'degree': 4, 'field': [40, 25, -1, -1, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 6]}
  • id: 3595071
    {'degree': 6, 'field': [58956, 0, 0, -288, 0, 0, 1], 'lmfdb_label': '76050.ch4', 'torsion': [6]}
  • id: 3595074
    {'degree': 8, 'field': [-100, -400, 350, 200, -29, -60, 2, 0, 1], 'lmfdb_label': '76050.ch4', 'torsion': [12]}
  • id: 3595073
    {'degree': 8, 'field': [3585, 600, 2254, -124, 203, -52, 2, -4, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 4]}
  • id: 3595072
    {'degree': 8, 'field': [28174, -13666, 6395, -2014, 169, -110, 29, -2, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 4]}
  • id: 3595076
    {'degree': 12, 'field': [766405, -432840, 206361, -129112, 32424, -13188, 5627, -978, 456, -98, 9, -6, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 6]}
  • id: 3595075
    {'degree': 12, 'field': [16904476, 6193464, -5204556, -1895920, 747060, 230424, -59335, -14406, 2895, 460, -81, -6, 1], 'lmfdb_label': '76050.ch4', 'torsion': [3, 6]}
  • id: 3595078
    {'degree': 16, 'field': [1600, 0, 38880, 0, 388441, 0, -166296, 0, 40500, 0, -7410, 0, 820, 0, -36, 0, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 12]}
  • id: 3595079
    {'degree': 16, 'field': [25600, 0, 24320, 0, 10256, 0, -48, 0, 44, 0, -444, 0, 29, 0, 2, 0, 1], 'lmfdb_label': '76050.ch4', 'torsion': [2, 12]}
  • id: 3595077
    {'degree': 16, 'field': [75287911, -273886320, -270848708, -31310040, 66135928, 34555200, 3256984, -3411600, -1457915, -150000, 52924, 18120, 1318, -360, -68, 0, 1], 'lmfdb_label': '76050.ch4', 'torsion': [8]}
  • id: 3595080
    {'degree': 18, 'field': [-26420739736, 43193660652, 5902736544, -36749334633, 6881226285, 6478671432, 18662786, -1003385853, 34118301, 44616525, -1804221, -393633, 38169, -29883, 4335, 652, -144, -3, 1], 'lmfdb_label': '76050.ch4', 'torsion': [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: 1848720
    {'conductor': 76050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '76050.ch4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1848721
    {'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '76050.ch4', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1848722
    {'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '76050.ch4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1848723
    {'conductor': 76050, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '76050.ch4', 'prime': 13, 'reduction_type': 0, '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: 2166390
    {'adelic_gens': [[250, 1557, 1067, 8], [781, 12, 6, 73], [1, 0, 12, 1], [623, 1548, 618, 1487], [1, 6, 6, 37], [110, 1557, 1107, 8], [1, 12, 0, 1], [11, 2, 1510, 1551], [75, 328, 38, 317], [1549, 12, 1548, 13]], 'adelic_image': '1560.96.1.?', 'conductor': 76050, 'lmfdb_label': '76050.ch4', 'prime': 0}
  • id: 314005
    {'conductor': 76050, 'elladic_image': '2.3.0.1', 'lmfdb_label': '76050.ch4', 'modell_image': '2B', 'prime': 2}
  • id: 314006
    {'conductor': 76050, 'elladic_image': '3.4.0.1', 'lmfdb_label': '76050.ch4', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 76050.ch does not appear in ec_padic