Elliptic curve data - 930.b3

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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': '930a', 'Clabel': '930a1', 'Cnumber': 1, 'abc_quality': 0.9132598439927675, 'absD': 17141760, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3720, 'ainvs': [1, 1, 0, -108, -432], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 930, 'degree': 288, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.11858009192303540737648460718', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1, 2, 4], 'jinv': [141339344329, 17141760], 'lmfdb_iso': '930.b', 'lmfdb_label': '930.b3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -108, -432], '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.1.2', '12.12.0-4.c.1.2', '24.24.0-24.bb.1.2', '620.12.0.?', '930.6.0.?', '1240.24.0.?', '1860.24.0.?', '3720.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.0526299529936577857568998294', 'prec': 100}, 'semistable': True, 'serre_invariants': [[2, 4, 465], [3, 4, 155], [5, 6, 186], [31, 32, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.11858009192303540737648460718', 'prec': 103}, 'szpiro_ratio': 3.7562159748061963, '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, 0, -1, 1, 1, -4, -1, 6, 0, 1, 1, 2, -1, -4, -1], 'aplist': [-1, -1, -1, 0, -4, 6, 2, -4, -4, 2, -1, -2, -6, -4, 0, 2, -4, -6, 16, -12, -6, -16, -12, -18, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 930, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '930.b', 'trace_hash': 2022489124566281697}
• 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': '0.78886491448034851664903736267', 'prec': 103}, 'conductor': 930, 'gens': [[-7, 10, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.0526299529936577857568998294', 'prec': 100}], 'lmfdb_label': '930.b3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4909281319194464680379456301', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5301618706693677089205230487299748865', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [[-8, 4, 1]], 'xcoord_integral_points': [-8, -7, 56]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': [1, 0], '5': [1, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [3, 0], '43': [1, 0], '47': [1, 3, 0]}, 'iwp0': 0, 'lmfdb_label': '930.b3'}
• ec_torsion_growth •

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

  
  
  • id: 44371
    {'degree': 2, 'field': [-116, -1, 1], 'lmfdb_label': '930.b3', 'torsion': [2, 2]}
  • id: 44372
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '930.b3', 'torsion': [4]}
  • id: 44373
    {'degree': 2, 'field': [39, -1, 1], 'lmfdb_label': '930.b3', 'torsion': [4]}
  • id: 44374
    {'degree': 4, 'field': [1521, -39, -38, -1, 1], 'lmfdb_label': '930.b3', 'torsion': [2, 4]}
  • id: 44378
    {'degree': 8, 'field': [-10, 37, -40, 5, 1, -7, 7, -4, 1], 'lmfdb_label': '930.b3', 'torsion': [6]}
  • id: 44376
    {'degree': 8, 'field': [784, 112, 100, 100, -11, -2, 7, -2, 1], 'lmfdb_label': '930.b3', 'torsion': [8]}
  • id: 44375
    {'degree': 8, 'field': [13456, -232, -1394, -2326, -1631, 2, 4, -4, 1], 'lmfdb_label': '930.b3', 'torsion': [2, 4]}
  • id: 44377
    {'degree': 8, 'field': [27081, -61164, 68150, -14136, 7479, -496, 170, -4, 1], 'lmfdb_label': '930.b3', 'torsion': [8]}
  • id: 44383
    {'degree': 16, 'field': [100, -370, 969, -1380, 1425, -204, 184, -256, 30, 120, -18, -36, 20, -14, 9, -4, 1], 'lmfdb_label': '930.b3', 'torsion': [12]}
  • id: 44381
    {'degree': 16, 'field': [126736, -647920, 2543796, -3453764, 3335873, -308988, -168260, -322012, 137916, -448, 4438, -2340, 428, 4, 0, -4, 1], 'lmfdb_label': '930.b3', 'torsion': [2, 8]}
  • id: 44384
    {'degree': 16, 'field': [2396304, 0, 1145124, 0, 612585, 0, 136692, 0, 17340, 0, -938, 0, -228, 0, 0, 0, 1], 'lmfdb_label': '930.b3', 'torsion': [12]}
  • id: 44379
    {'degree': 16, 'field': [181063936, 3121792, 26912, 12649104, -3133852, -247324, 438034, -165198, 38053, 5334, -3704, 1378, -217, -12, 8, -4, 1], 'lmfdb_label': '930.b3', 'torsion': [4, 4]}
  • id: 44380
    {'degree': 16, 'field': [617721316, 0, 1210568980, 0, 822987749, 0, 225877650, 0, 22973051, 0, 1053120, 0, 23579, 0, 250, 0, 1], 'lmfdb_label': '930.b3', 'torsion': [2, 8]}
  • id: 44382
    {'degree': 16, 'field': [7267221504, 0, -3269108736, 0, 545615680, 0, -40123008, 0, 830160, 0, 43547, 0, -2088, 0, 0, 0, 1], 'lmfdb_label': '930.b3', '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: 12554
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '930.b3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 12555
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '930.b3', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12556
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '930.b3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 12557
    {'conductor': 930, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '930.b3', 'prime': 31, '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: 1670437
    {'adelic_gens': [[748, 1, 1511, 6], [1, 0, 8, 1], [2488, 3, 2485, 2], [1, 8, 0, 1], [473, 468, 470, 2327], [1, 4, 4, 17], [1403, 1398, 2330, 467], [3484, 1, 503, 6], [7, 6, 3714, 3715], [3713, 8, 3712, 9]], 'adelic_image': '3720.48.0.?', 'conductor': 930, 'lmfdb_label': '930.b3', 'prime': 0}
  • id: 4330
    {'conductor': 930, 'elladic_image': '8.12.0.12', 'lmfdb_label': '930.b3', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 20440
    {'lmfdb_iso': '930.b', 'p': 11, 'prec': 20, 'unit': 32069428134767299689, 'val': 1}
  • id: 20438
    {'lmfdb_iso': '930.b', 'p': 13, 'prec': 20, 'unit': 804328939674965049846, 'val': 1}
  • id: 20441
    {'lmfdb_iso': '930.b', 'p': 17, 'prec': 20, 'unit': 108991058278757937798236, 'val': 1}
  • id: 20442
    {'lmfdb_iso': '930.b', 'p': 19, 'prec': 20, 'unit': 468635428258457879482371, 'val': 1}
  • id: 20445
    {'lmfdb_iso': '930.b', 'p': 23, 'prec': 20, 'unit': 15760290918895108636736300, 'val': 1}
  • id: 20437
    {'lmfdb_iso': '930.b', 'p': 29, 'prec': 20, 'unit': 2195220408532483367992170041, 'val': 1}
  • id: 20433
    {'lmfdb_iso': '930.b', 'p': 37, 'prec': 20, 'unit': 470931489626047141932787053656, 'val': 1}
  • id: 20435
    {'lmfdb_iso': '930.b', 'p': 41, 'prec': 20, 'unit': 65683641410041229279881437965, 'val': 2}
  • id: 20436
    {'lmfdb_iso': '930.b', 'p': 43, 'prec': 20, 'unit': 738362554649706392065599380605, 'val': 1}
  • id: 20443
    {'lmfdb_iso': '930.b', 'p': 53, 'prec': 20, 'unit': 37434573305241271453218346729630, 'val': 1}
  • id: 20447
    {'lmfdb_iso': '930.b', 'p': 59, 'prec': 20, 'unit': 4047699580627704586051210184932746, 'val': 1}
  • id: 20448
    {'lmfdb_iso': '930.b', 'p': 61, 'prec': 20, 'unit': 3866506737435128672031904554021225, 'val': 1}
  • id: 20432
    {'lmfdb_iso': '930.b', 'p': 67, 'prec': 20, 'unit': 44560653125483250366608216925433355, 'val': 1}
  • id: 20434
    {'lmfdb_iso': '930.b', 'p': 71, 'prec': 20, 'unit': 29089144687527790077832924973261758, 'val': 1}
  • id: 20444
    {'lmfdb_iso': '930.b', 'p': 73, 'prec': 20, 'unit': 159903943972146959009666156870143964, 'val': 1}
  • id: 20439
    {'lmfdb_iso': '930.b', 'p': 79, 'prec': 20, 'unit': 339069232147907171069763765269034300, 'val': 1}
  • id: 20431
    {'lmfdb_iso': '930.b', 'p': 83, 'prec': 20, 'unit': 1473873303281599376404849228566267301, 'val': 1}
  • id: 20446
    {'lmfdb_iso': '930.b', 'p': 89, 'prec': 20, 'unit': 3923870964373155107107553587757765338, 'val': 1}
  • id: 20430
    {'lmfdb_iso': '930.b', 'p': 97, 'prec': 20, 'unit': 2956231865245073676781056543664752174, 'val': 1}