Elliptic curve data - 930.h2

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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': '930h', 'Clabel': '930h1', 'Cnumber': 1, 'abc_quality': 0.9767197520246752, 'absD': 7472736000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1860, 'ainvs': [1, 0, 1, 467, -1432], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 930, 'degree': 960, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.58333619455355804430330957734', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [11298232190519, 7472736000], 'lmfdb_iso': '930.h', 'lmfdb_label': '930.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 467, -1432], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '30.6.0.a.1', '124.6.0.?', '1860.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 13, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18453795710225357245659508951', 'prec': 103}, 'semistable': True, 'serre_invariants': [[2, 4, 15], [3, 4, 62], [5, 6, 62], [31, 32, 30]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58333619455355804430330957734', 'prec': 103}, 'szpiro_ratio': 4.397199081792828, '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, -4, 1, -4, 2, 1, 1, 2, -1, -8, 1], 'aplist': [-1, 1, 1, -2, -4, -4, 2, -8, -8, 4, -1, -12, 10, 8, -4, 6, 2, 10, -6, 6, -4, -8, 4, 0, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 930, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '930.h', 'trace_hash': 1846414509064157895}
• 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': '0.31140144193329172033389602839', 'prec': 103}, 'conductor': 930, 'gens': [[19, 110, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.18453795710225357245659508951', 'prec': 103}], 'lmfdb_label': '930.h2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.75218734996805946773255636564', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0821067538189532968114988646482995840', 'prec': 130}, 'tamagawa_product': 60, 'torsion_generators': [[3, -2, 1]], 'xcoord_integral_points': [3, 4, 19, 34, 67, 124, 499]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [4, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '930.h2'}
• ec_torsion_growth •

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

  
  
  • id: 44511
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '930.h2', 'torsion': [2, 2]}
  • id: 44512
    {'degree': 4, 'field': [100, -20, -10, -2, 1], 'lmfdb_label': '930.h2', 'torsion': [4]}
  • id: 44515
    {'degree': 8, 'field': [-6, -3, -6, 17, -5, -7, 7, -4, 1], 'lmfdb_label': '930.h2', 'torsion': [6]}
  • id: 44513
    {'degree': 8, 'field': [256, 0, 116, 0, -9, 0, -4, 0, 1], 'lmfdb_label': '930.h2', 'torsion': [2, 4]}
  • id: 44514
    {'degree': 8, 'field': [1249, 2184, 199, -490, 536, -92, 15, -2, 1], 'lmfdb_label': '930.h2', 'torsion': [2, 4]}
  • id: 44517
    {'degree': 16, 'field': [900, 0, 189855, 0, 144814, 0, 68925, 0, 17655, 0, 3109, 0, 375, 0, 30, 0, 1], 'lmfdb_label': '930.h2', 'torsion': [2, 6]}
  • id: 44516
    {'degree': 16, 'field': [59627745, -209306160, 188269326, 52090356, -50598496, 28076640, -6987998, -2146932, 674365, -82544, 6974, 5596, -1236, 112, 4, -8, 1], 'lmfdb_label': '930.h2', 'torsion': [8]}
• 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: 12614
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '930.h2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12615
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '930.h2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 12616
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '930.h2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 12617
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '930.h2', 'prime': 31, 'reduction_type': -1, '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: 1670450
    {'adelic_gens': [[374, 1, 743, 0], [1, 2, 2, 5], [1, 4, 0, 1], [1801, 4, 1742, 9], [622, 1, 619, 0], [1, 0, 4, 1], [1857, 4, 1856, 5], [3, 4, 8, 11], [469, 1396, 464, 1395]], 'adelic_image': '1860.12.0.?', 'conductor': 930, 'lmfdb_label': '930.h2', 'prime': 0}
  • id: 4341
    {'conductor': 930, 'elladic_image': '2.3.0.1', 'lmfdb_label': '930.h2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 20508
    {'lmfdb_iso': '930.h', 'p': 7, 'prec': 20, 'unit': 7597616804277581, 'val': 1}
  • id: 20506
    {'lmfdb_iso': '930.h', 'p': 11, 'prec': 20, 'unit': 50377493083293791423, 'val': 1}
  • id: 20512
    {'lmfdb_iso': '930.h', 'p': 13, 'prec': 20, 'unit': 235801863639852901302, 'val': 1}
  • id: 20514
    {'lmfdb_iso': '930.h', 'p': 17, 'prec': 20, 'unit': 158584184410584574228850, 'val': 1}
  • id: 20515
    {'lmfdb_iso': '930.h', 'p': 19, 'prec': 20, 'unit': 11879006134332941313311, 'val': 2}
  • id: 20519
    {'lmfdb_iso': '930.h', 'p': 23, 'prec': 20, 'unit': 19641218892733946396703027, 'val': 1}
  • id: 20511
    {'lmfdb_iso': '930.h', 'p': 29, 'prec': 20, 'unit': 5507642707163723746349752939, 'val': 1}
  • id: 20507
    {'lmfdb_iso': '930.h', 'p': 37, 'prec': 20, 'unit': 555288544082016516951058918369, 'val': 1}
  • id: 20509
    {'lmfdb_iso': '930.h', 'p': 41, 'prec': 20, 'unit': 3966852982180342284919216312834, 'val': 1}
  • id: 20510
    {'lmfdb_iso': '930.h', 'p': 43, 'prec': 20, 'unit': 1387717859742317191924685277386, 'val': 1}
  • id: 20522
    {'lmfdb_iso': '930.h', 'p': 47, 'prec': 20, 'unit': 43604363403346484086114565032574, 'val': 1}
  • id: 20516
    {'lmfdb_iso': '930.h', 'p': 53, 'prec': 20, 'unit': 64850859772019765411046530098567, 'val': 1}
  • id: 20517
    {'lmfdb_iso': '930.h', 'p': 59, 'prec': 20, 'unit': 4402304435508620444080064047597785, 'val': 1}
  • id: 20523
    {'lmfdb_iso': '930.h', 'p': 61, 'prec': 20, 'unit': 2354587805042863502031191439997125, 'val': 1}
  • id: 20505
    {'lmfdb_iso': '930.h', 'p': 67, 'prec': 20, 'unit': 6458779111399143178922701577616951, 'val': 1}
  • id: 20521
    {'lmfdb_iso': '930.h', 'p': 71, 'prec': 20, 'unit': 90577986076604350610238292288440892, 'val': 1}
  • id: 20518
    {'lmfdb_iso': '930.h', 'p': 73, 'prec': 20, 'unit': 102691340530642844679117831844832871, 'val': 1}
  • id: 20513
    {'lmfdb_iso': '930.h', 'p': 79, 'prec': 20, 'unit': 185115909262096226942163489904732890, 'val': 1}
  • id: 20520
    {'lmfdb_iso': '930.h', 'p': 83, 'prec': 20, 'unit': 421003886978129886769221510889962485, 'val': 1}
  • id: 20504
    {'lmfdb_iso': '930.h', 'p': 97, 'prec': 20, 'unit': 30838205690749803199194108642157580755, 'val': 1}