Elliptic curve data - 15210.d1

Formats: - HTML - YAML - JSON - 2024-05-01T22:56:15.564684

• 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': '15210l', 'Clabel': '15210l2', 'Cnumber': 2, 'abc_quality': 1.1377369369986685, 'absD': 3577015237041192960, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 10920, 'ainvs': [1, -1, 0, -692340, 239849936], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 15210, 'degree': 376320, 'elladic_images': ['7.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3010916960182146475527148103', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 7, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [-1762712152495281, 171798691840], 'lmfdb_iso': '15210.d', 'lmfdb_label': '15210.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -76927, -8857689], 'min_quad_twist_disc': -3, 'modell_images': ['7B'], 'modm_images': ['7.8.0.a.1', '21.16.0-7.a.1.1', '40.2.0.a.1', '91.24.0.?', '273.48.0.?', '280.16.0.?', '840.32.0.?', '3640.48.2.?', '10920.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.89680243253031422317059637799', 'prec': 103}, 'szpiro_ratio': 5.411664371567336, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 0, -3, -1, 0, 1, 3, 0, 0, 3, 0, 1, 4, 0, 7, -1], 'aplist': [-1, 0, -1, -3, 3, 0, 4, 7, 4, 8, -10, 3, 2, 6, 1, 9, 4, -14, 4, -6, 4, 10, 0, -1, 16], 'class_deg': 7, 'class_size': 2, 'conductor': 15210, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '15210.d', 'trace_hash': 1087996909504991160}
• 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': '0.010029912588648688595326576905', 'prec': 107}, 'conductor': 15210, 'gens': [], 'heights': [], 'lmfdb_label': '15210.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24374378078293987008464535290', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4624626846976392205078721174273487354', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [15, 0], '3': 'a', '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': 'a', '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '15210.d1'}
• ec_torsion_growth •

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

  
  
  • id: 781797
    {'degree': 3, 'field': [-26, 13, 0, 1], 'lmfdb_label': '15210.d1', 'torsion': [2]}
  • id: 781799
    {'degree': 6, 'field': [-944, 48, 631, 55, -62, -1, 1], 'lmfdb_label': '15210.d1', 'torsion': [7]}
  • id: 781798
    {'degree': 6, 'field': [90, 0, 61, 0, 12, 0, 1], 'lmfdb_label': '15210.d1', 'torsion': [2, 2]}
  • id: 781800
    {'degree': 8, 'field': [-206, -139, 154, -19, -17, 29, -5, -4, 1], 'lmfdb_label': '15210.d1', 'torsion': [3]}
  • id: 781801
    {'degree': 12, 'field': [-4199040, 0, -1220832, 0, 73872, 0, -9936, 0, 1008, 0, -54, 0, 1], 'lmfdb_label': '15210.d1', 'torsion': [4]}
  • id: 781802
    {'degree': 18, 'field': [74683981, 2730361, -254467899, 470160870, 33357780, -180274882, 25799244, -26023834, 14804827, -55323, -20675, -142578, -40666, 5740, 3232, -128, -81, -1, 1], 'lmfdb_label': '15210.d1', 'torsion': [14]}
• 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: 336227
    {'conductor': 15210, 'conductor_valuation': 1, 'discriminant_valuation': 35, 'j_denominator_valuation': 35, 'kodaira_symbol': 39, 'lmfdb_label': '15210.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 336228
    {'conductor': 15210, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '15210.d1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 336229
    {'conductor': 15210, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '15210.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 336230
    {'conductor': 15210, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '15210.d1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
• ec_galrep •

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

  
  
  • id: 1765290
    {'adelic_gens': [[5461, 3654, 1827, 3739], [8191, 3654, 10017, 3739], [7279, 0, 0, 10919], [9811, 3642, 9030, 10831], [8737, 3654, 2919, 3739], [1, 0, 14, 1], [1, 14, 0, 1], [913, 528, 1806, 10753], [8, 5, 91, 57], [10907, 14, 10906, 15]], 'adelic_image': '10920.96.2.?', 'conductor': 15210, 'lmfdb_label': '15210.d1', 'prime': 0}
  • id: 71866
    {'conductor': 15210, 'elladic_image': '7.8.0.1', 'lmfdb_label': '15210.d1', 'modell_image': '7B', 'prime': 7}
• lmfdb_iso 15210.d does not appear in ec_padic