Elliptic curve data - 4830.ba4

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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': '4830ba', 'Clabel': '4830ba1', 'Cnumber': 1, 'abc_quality': 0.9476196516552916, 'absD': 757170892800, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 184, 'ainvs': [1, 0, 0, -1141, 44321], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4830, 'degree': 9216, 'elladic_images': ['8.24.0.50'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.96413422269230153213547638457', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 4], 'jinv': [-164287467238609, 757170892800], 'lmfdb_iso': '4830.ba', 'lmfdb_label': '4830.ba4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1141, 44321], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '8.24.0-8.p.1.1', '46.6.0.a.1', '92.24.0.?', '184.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 23, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.31740833233875293497377028291', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.96413422269230153213547638457', 'prec': 103}, 'szpiro_ratio': 4.117352255003923, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -1, 1, 1, -1, 0, 1, -2, -1, -1, 1, -6, 1, 0, -1], 'aplist': [1, 1, -1, -1, 0, -2, -6, 0, -1, -10, 8, -6, -6, 0, 8, -14, 4, -14, 16, -8, -6, 0, 0, -14, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 4830, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '4830.ba', 'trace_hash': 422419862963203606}
• 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': '0.14539974823984388214227466330', 'prec': 103}, 'conductor': 4830, 'gens': [[8, 185, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.31740833233875293497377028291', 'prec': 103}], 'lmfdb_label': '4830.ba4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.78114409035795583736095163298', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.9505994328829815643018358022807446052', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[26, 167, 1]], 'xcoord_integral_points': [-46, -34, -14, -10, 8, 26, 50, 98, 116, 386, 554, 14066]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [2, 0], '5': [1, 0], '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [3, 0], '19': [1, 1, 0], '23': [1, 0], '29': [3, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4830.ba4'}
• ec_torsion_growth •

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

  
  
  • id: 252323
    {'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '4830.ba4', 'torsion': [2, 4]}
  • id: 252324
    {'degree': 4, 'field': [-34, -8, 9, -2, 1], 'lmfdb_label': '4830.ba4', 'torsion': [8]}
  • id: 252328
    {'degree': 8, 'field': [-63480, -5388, 6270, -1765, 886, -7, 7, -4, 1], 'lmfdb_label': '4830.ba4', 'torsion': [12]}
  • id: 252326
    {'degree': 8, 'field': [414, -552, 77, 262, 29, 20, 7, -2, 1], 'lmfdb_label': '4830.ba4', 'torsion': [2, 8]}
  • id: 252327
    {'degree': 8, 'field': [480978, 89712, -47331, -7418, 2305, 220, -65, -2, 1], 'lmfdb_label': '4830.ba4', 'torsion': [2, 8]}
  • id: 252325
    {'degree': 8, 'field': [3437316, -756432, 83232, -5748, 3733, -398, 2, -2, 1], 'lmfdb_label': '4830.ba4', 'torsion': [4, 4]}
  • id: 252330
    {'degree': 16, 'field': [15116544, 0, -14121189, 0, 6157656, 0, -119178, 0, 47229, 0, -2881, 0, -294, 0, 0, 0, 1], 'lmfdb_label': '4830.ba4', 'torsion': [2, 12]}
  • id: 252329
    {'degree': 16, 'field': [69976295564616, 6608383673472, -1873791102456, -318155560968, -105086333807, -3359682508, -1651190174, 166250236, 90776743, 12981032, 2495204, -54064, -3137, -3356, -14, -4, 1], 'lmfdb_label': '4830.ba4', 'torsion': [16]}
• 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: 93075
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '4830.ba4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 93076
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '4830.ba4', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 93077
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4830.ba4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 93078
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4830.ba4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 93079
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4830.ba4', 'prime': 23, '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: 1695428
    {'adelic_gens': [[177, 8, 176, 9], [20, 1, 23, 6], [169, 164, 166, 71], [123, 118, 74, 163], [7, 6, 178, 179], [1, 0, 8, 1], [1, 4, 4, 17], [1, 8, 0, 1]], 'adelic_image': '184.48.0.?', 'conductor': 4830, 'lmfdb_label': '4830.ba4', 'prime': 0}
  • id: 23913
    {'conductor': 4830, 'elladic_image': '8.24.0.50', 'lmfdb_label': '4830.ba4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 176285
    {'lmfdb_iso': '4830.ba', 'p': 13, 'prec': 20, 'unit': 168972229656133061159, 'val': 1}
  • id: 176287
    {'lmfdb_iso': '4830.ba', 'p': 17, 'prec': 20, 'unit': 3531188384211966356767, 'val': 2}
  • id: 176284
    {'lmfdb_iso': '4830.ba', 'p': 29, 'prec': 20, 'unit': 104348392562307857669663210, 'val': 2}
  • id: 176293
    {'lmfdb_iso': '4830.ba', 'p': 31, 'prec': 20, 'unit': 3399887883169469776334729870, 'val': 1}
  • id: 176281
    {'lmfdb_iso': '4830.ba', 'p': 37, 'prec': 20, 'unit': 511354392231904053725897441111, 'val': 1}
  • id: 176283
    {'lmfdb_iso': '4830.ba', 'p': 41, 'prec': 20, 'unit': 2484006189006475708726126367169, 'val': 1}
  • id: 176286
    {'lmfdb_iso': '4830.ba', 'p': 47, 'prec': 20, 'unit': 32454702253775009516365788481336, 'val': 1}
  • id: 176288
    {'lmfdb_iso': '4830.ba', 'p': 53, 'prec': 20, 'unit': 515366391803179659614225426121095, 'val': 1}
  • id: 176291
    {'lmfdb_iso': '4830.ba', 'p': 59, 'prec': 20, 'unit': 3331407574961407950517047211383884, 'val': 1}
  • id: 176292
    {'lmfdb_iso': '4830.ba', 'p': 61, 'prec': 20, 'unit': 5038117233671929804625761297508920, 'val': 1}
  • id: 176280
    {'lmfdb_iso': '4830.ba', 'p': 67, 'prec': 20, 'unit': 23151783429471550889772384775258111, 'val': 1}
  • id: 176282
    {'lmfdb_iso': '4830.ba', 'p': 71, 'prec': 20, 'unit': 16142120482261030106911038021866859, 'val': 1}
  • id: 176289
    {'lmfdb_iso': '4830.ba', 'p': 73, 'prec': 20, 'unit': 34646838912208196608276509439885602, 'val': 1}
  • id: 176290
    {'lmfdb_iso': '4830.ba', 'p': 89, 'prec': 20, 'unit': 1066189703603923677484549156902620438, 'val': 1}
  • id: 176279
    {'lmfdb_iso': '4830.ba', 'p': 97, 'prec': 20, 'unit': 2354816269766822183754356513753139757, 'val': 1}