Elliptic curve data - 10830.t2

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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': '10830q', 'Clabel': '10830q1', 'Cnumber': 1, 'abc_quality': 0.9195748306010464, 'absD': 44446320, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 380, 'ainvs': [1, 1, 1, -226, -1441], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 10830, 'degree': 3840, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24042593297172471936749531601', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 2], 'jinv': [-186169411, 6480], 'lmfdb_iso': '10830.t', 'lmfdb_label': '10830.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -226, -1441], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.e.1', '76.6.0.?', '190.6.0.?', '380.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '-0.49568381181988539563476154196', 'prec': 107}, 'szpiro_ratio': 3.0068530833154217, '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, -1, 1, -1, -1, 2, 1, 1, -1, 0, -1, -2, 2, 1, 1, -6, 1, 0, -1], 'aplist': [1, -1, -1, 2, 0, -2, -6, 0, 6, 4, 0, -10, 8, 2, -2, 2, 0, 14, -4, -12, 6, 8, 2, 8, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 10830, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '10830.t', 'trace_hash': 1819111136025445944}
• 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': '0.61825649576254967365317054133', 'prec': 103}, 'conductor': 10830, 'gens': [], 'heights': [], 'lmfdb_label': '10830.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.61439093347583433029619177617', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4575637339033373211847671047000627385', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[17, -9, 1]], 'xcoord_integral_points': [17]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 0], '5': [0, 0], '19': 'a'}, 'iwp0': 3, 'lmfdb_label': '10830.t2'}
• ec_torsion_growth •

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

  
  
  • id: 560970
    {'degree': 2, 'field': [24, -1, 1], 'lmfdb_label': '10830.t2', 'torsion': [2, 2]}
  • id: 560971
    {'degree': 4, 'field': [-146, -10, 11, -2, 1], 'lmfdb_label': '10830.t2', 'torsion': [4]}
  • id: 560973
    {'degree': 8, 'field': [36, -32, 201, -356, 224, -58, 24, -4, 1], 'lmfdb_label': '10830.t2', 'torsion': [2, 4]}
  • id: 560972
    {'degree': 8, 'field': [676, 0, 137, 0, 23, 0, -13, 0, 1], 'lmfdb_label': '10830.t2', 'torsion': [2, 4]}
  • id: 560974
    {'degree': 8, 'field': [7616, 776, 8885, -1144, 5, 2, -35, -2, 1], 'lmfdb_label': '10830.t2', 'torsion': [6]}
  • id: 560975
    {'degree': 16, 'field': [24025, 0, -56880, 0, -458696, 0, 208128, 0, 13350, 0, 8160, 0, 1000, 0, 48, 0, 1], 'lmfdb_label': '10830.t2', 'torsion': [8]}
  • id: 560976
    {'degree': 16, 'field': [149176320, 277463040, 253152256, -242126080, 6759040, -26305072, 17762608, -2894176, 1611680, -241700, 95972, -7813, 2992, -175, 55, -4, 1], 'lmfdb_label': '10830.t2', '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: 230994
    {'conductor': 10830, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10830.t2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 230995
    {'conductor': 10830, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '10830.t2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 230996
    {'conductor': 10830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '10830.t2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 230997
    {'conductor': 10830, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '10830.t2', 'prime': 19, '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: 1735721
    {'adelic_gens': [[154, 1, 303, 0], [1, 2, 2, 5], [1, 4, 0, 1], [84, 1, 359, 0], [377, 4, 376, 5], [1, 0, 4, 1], [3, 4, 8, 11], [289, 96, 284, 95]], 'adelic_image': '380.12.0.?', 'conductor': 10830, 'lmfdb_label': '10830.t2', 'prime': 0}
  • id: 52135
    {'conductor': 10830, 'elladic_image': '2.3.0.1', 'lmfdb_label': '10830.t2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 10830.t does not appear in ec_padic