Elliptic curve data - 910.b1

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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': '910a', 'Clabel': '910a3', 'Cnumber': 3, 'abc_quality': 1.0218494599601673, 'absD': 4976562500000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 520, 'ainvs': [1, -1, 0, -109040, -13831200], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 910, 'degree': 3840, 'elladic_images': ['8.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [143378317900125424089, 4976562500000], 'lmfdb_iso': '910.b', 'lmfdb_label': '910.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -109040, -13831200], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.3', '40.24.0-40.y.1.6', '52.12.0-4.c.1.1', '104.24.0.?', '520.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 13], [3, 2, 182], [5, 6, 91], [7, 8, 130], [13, 14, 70]], 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.5269642978398480559122968817', 'prec': 100}, 'szpiro_ratio': 6.811828835273651, '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, -1, 0, 1, -1, -3, 1, 4, 0, -1, -1, 0, 1, 2, 3, -4, -1], 'aplist': [-1, 0, -1, 1, 4, -1, 2, -4, 8, -2, 4, 10, -6, 0, 8, 2, 12, -2, -4, 12, -2, -8, 4, 2, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 910, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '910.b', 'trace_hash': 1086883631348437362}
• 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': '0.047173235312863111795762698724', 'prec': 107}, 'conductor': 910, 'gens': [], 'heights': [], 'lmfdb_label': '910.b1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.26272645854732077294820160187', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.0509058341892830917928064074740771730', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-765, 765, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '5': [0, 0], '7': [1, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '910.b1'}
• ec_torsion_growth •

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

  
  
  • id: 43334
    {'degree': 2, 'field': [-26, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [2, 2]}
  • id: 43335
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [4]}
  • id: 43336
    {'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [4]}
  • id: 43337
    {'degree': 4, 'field': [49, 0, -12, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [2, 4]}
  • id: 43341
    {'degree': 8, 'field': [28, -139, 130, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '910.b1', 'torsion': [6]}
  • id: 43339
    {'degree': 8, 'field': [1571, -668, 782, -240, 151, -40, 18, -4, 1], 'lmfdb_label': '910.b1', 'torsion': [8]}
  • id: 43340
    {'degree': 8, 'field': [1184894, -275184, 604, 8736, 853, -182, -41, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [8]}
  • id: 43338
    {'degree': 8, 'field': [1612900, 0, -30608, 0, -2524, 0, -8, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [2, 4]}
  • id: 43343
    {'degree': 16, 'field': [43681, 0, -45504, 0, 68016, 0, -13824, 0, 3074, 0, -576, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [2, 8]}
  • id: 43347
    {'degree': 16, 'field': [114244, 0, 353717, 0, 129454, 0, 68783, 0, 13351, 0, 2327, 0, 247, 0, 26, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [12]}
  • id: 43346
    {'degree': 16, 'field': [142386, -181416, 223677, -68796, -8808, 61770, -34089, 5088, 7801, -7706, 3475, -1424, 571, -182, 46, -8, 1], 'lmfdb_label': '910.b1', 'torsion': [12]}
  • id: 43345
    {'degree': 16, 'field': [29246464, 0, -45275776, 0, 8285056, 0, -2201056, 0, 213616, 0, -18616, 0, 988, 0, -52, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [2, 6]}
  • id: 43344
    {'degree': 16, 'field': [411846436, 0, 111816064, 0, 21250868, 0, 3517236, 0, 414253, 0, 35222, 0, 2407, 0, 82, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [2, 8]}
  • id: 43342
    {'degree': 16, 'field': [164648481361, 0, 0, 0, 0, 0, 0, 0, 13796146, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '910.b1', 'torsion': [4, 4]}
• 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: 12172
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '910.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12173
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '910.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12174
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '910.b1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 12175
    {'conductor': 910, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '910.b1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
• ec_galrep •

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

  
  
  • id: 1670311
    {'adelic_gens': [[328, 3, 205, 2], [328, 73, 187, 174], [7, 6, 514, 515], [1, 0, 8, 1], [417, 8, 108, 33], [513, 8, 512, 9], [203, 196, 242, 461], [1, 8, 0, 1], [1, 4, 4, 17]], 'adelic_image': '520.48.0.?', 'conductor': 910, 'lmfdb_label': '910.b1', 'prime': 0}
  • id: 4234
    {'conductor': 910, 'elladic_image': '8.12.0.7', 'lmfdb_label': '910.b1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 910.b does not appear in ec_padic