Elliptic curve data - 30324.d1

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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': '30324c', 'Clabel': '30324c4', 'Cnumber': 4, 'abc_quality': 1.0224533031136658, 'absD': 37179042469632, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 1596, 'ainvs': [0, -1, 0, -660028, 206611384], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 30324, 'degree': 248832, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8870284520345461335942826544', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [2640279346000, 3087], 'lmfdb_iso': '30324.d', 'lmfdb_label': '30324.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -1828, -30700], 'min_quad_twist_disc': -19, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0.j.1', '28.6.0.a.1', '57.8.0-3.a.1.2', '84.48.1.?', '114.24.0.?', '228.48.0.?', '1596.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.73349361055130589497151185427', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 2527], [3, 4, 1444], [7, 8, 4332], [19, 182, 84]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.047289157921970969355052475849', 'prec': 110}, 'szpiro_ratio': 5.020857533001674, '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, 0, -1, 0, 0, 0, 1, 0, 1, 0, -6, 0, -2, 0, 0, 0, 0, 0, 0, 0], 'aplist': [0, -1, 0, 1, -6, -2, 0, 0, -6, -6, -8, -2, -12, -4, 12, 6, 0, -10, -8, -6, -10, 4, -12, -12, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 30324, 'isogeny_matrix': [[1, 2, 3, 6], [2, 1, 6, 3], [3, 6, 1, 2], [6, 3, 2, 1]], 'lmfdb_iso': '30324.d', 'trace_hash': 951056163707431667}
• 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': '0.022958732722455141026715369090', 'prec': 107}, 'conductor': 30324, 'gens': [[450, 722, 1], [466, 126, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.65575324192606029180601525360', 'prec': 103}, {'__RealLiteral__': 0, 'data': '1.1210375459322411581958445047', 'prec': 100}], 'lmfdb_label': '30324.d1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.54827565592307763573798908302', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '7.2388204279272665734947774657525634097', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[469, 0, 1]], 'xcoord_integral_points': [-614, -206, 165, 361, 450, 466, 469, 470, 526, 830, 1894]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [2, 0], '5': [4, 2, 0], '7': [3, 0], '11': [2, 0], '13': [2, 0], '17': [2, 2, 0], '19': 'a', '23': [2, 0], '29': [2, 0], '31': [2, 0], '37': [2, 0], '41': [2, 0], '43': [2, 0], '47': [2, 0]}, 'iwp0': 0, 'lmfdb_label': '30324.d1'}
• ec_torsion_growth •

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

  
  
  • id: 1515574
    {'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '30324.d1', 'torsion': [6]}
  • id: 1515573
    {'degree': 2, 'field': [-7, 0, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 2]}
  • id: 1515576
    {'degree': 4, 'field': [42, 42, -41, -2, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 6]}
  • id: 1515575
    {'degree': 4, 'field': [2527, 0, 95, 0, 1], 'lmfdb_label': '30324.d1', 'torsion': [4]}
  • id: 1515577
    {'degree': 6, 'field': [245, -237, 72, -19, 18, -3, 1], 'lmfdb_label': '30324.d1', 'torsion': [6]}
  • id: 1515579
    {'degree': 8, 'field': [-24759, -141204, -68572, 16828, 3634, 108, 20, -4, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 4]}
  • id: 1515580
    {'degree': 8, 'field': [628, 476, -470, -112, 189, -20, 1, -2, 1], 'lmfdb_label': '30324.d1', 'torsion': [12]}
  • id: 1515578
    {'degree': 8, 'field': [77284, 25576, -2656, 2568, 1694, 264, 44, -2, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 4]}
  • id: 1515581
    {'degree': 12, 'field': [60025, -58065, 38529, -7754, -3729, 6429, -1156, -147, 195, -16, -9, -3, 1], 'lmfdb_label': '30324.d1', 'torsion': [3, 6]}
  • id: 1515582
    {'degree': 12, 'field': [3323117, -1259160, 76407, -117554, -41934, 46428, -189, -1938, 462, 16, 3, -6, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 6]}
  • id: 1515584
    {'degree': 16, 'field': [2229049, -1442238, 607682, 249256, -302795, 248150, 55586, -42350, 15400, 5852, -1528, 70, 121, -28, -16, 0, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 12]}
  • id: 1515585
    {'degree': 16, 'field': [4186914, 23195160, -16415240, -20147764, 27681192, -24322060, 13452362, -4620852, 1190239, -1072, -22274, 12516, -2268, 56, 12, -8, 1], 'lmfdb_label': '30324.d1', 'torsion': [2, 12]}
  • id: 1515583
    {'degree': 16, 'field': [965735329, -506730308, 587695404, -502205128, 216895614, -90476964, 37071808, -2052316, -4824549, 1495108, 13552, -66756, 7038, 664, -84, -4, 1], 'lmfdb_label': '30324.d1', 'torsion': [8]}
  • id: 1515586
    {'degree': 18, 'field': [-1060243163, -1083782301, 93207408, -512828212, 1205726007, -538002861, -240835420, 213599865, 7627032, -29288035, 1611678, 1964553, -171874, -69315, 6969, 1238, -132, -9, 1], 'lmfdb_label': '30324.d1', 'torsion': [18]}
• 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: 706571
    {'conductor': 30324, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '30324.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 706572
    {'conductor': 30324, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '30324.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 706573
    {'conductor': 30324, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '30324.d1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 706574
    {'conductor': 30324, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '30324.d1', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 1866718
    {'adelic_gens': [[1585, 12, 1584, 13], [587, 0, 0, 1595], [666, 817, 665, 134], [533, 684, 874, 913], [1, 0, 12, 1], [58, 171, 969, 1084], [1, 6, 6, 37], [11, 2, 1546, 1587], [1, 12, 0, 1]], 'adelic_image': '1596.96.1.?', 'conductor': 30324, 'lmfdb_label': '30324.d1', 'prime': 0}
  • id: 136275
    {'conductor': 30324, 'elladic_image': '2.3.0.1', 'lmfdb_label': '30324.d1', 'modell_image': '2B', 'prime': 2}
  • id: 136276
    {'conductor': 30324, 'elladic_image': '3.4.0.1', 'lmfdb_label': '30324.d1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 1467834
    {'lmfdb_iso': '30324.d', 'p': 11, 'prec': 20, 'unit': 54514560377820650446, 'val': 2}
  • id: 1467840
    {'lmfdb_iso': '30324.d', 'p': 13, 'prec': 20, 'unit': 39355512588838439040, 'val': 2}
  • id: 1467845
    {'lmfdb_iso': '30324.d', 'p': 23, 'prec': 20, 'unit': 51731517980256275743954243, 'val': 2}
  • id: 1467839
    {'lmfdb_iso': '30324.d', 'p': 29, 'prec': 20, 'unit': 860303847857142231563371804, 'val': 2}
  • id: 1467849
    {'lmfdb_iso': '30324.d', 'p': 31, 'prec': 20, 'unit': 13782564374002266431779064170, 'val': 2}
  • id: 1467835
    {'lmfdb_iso': '30324.d', 'p': 37, 'prec': 20, 'unit': 418928982232132579118261915607, 'val': 2}
  • id: 1467837
    {'lmfdb_iso': '30324.d', 'p': 41, 'prec': 20, 'unit': 4331147476146468377652572758549, 'val': 2}
  • id: 1467838
    {'lmfdb_iso': '30324.d', 'p': 43, 'prec': 20, 'unit': 581703681289560552891579548709, 'val': 2}
  • id: 1467841
    {'lmfdb_iso': '30324.d', 'p': 47, 'prec': 20, 'unit': 18191104643873955834262700747219, 'val': 2}
  • id: 1467843
    {'lmfdb_iso': '30324.d', 'p': 53, 'prec': 20, 'unit': 238915832769071940028317165083340, 'val': 2}
  • id: 1467848
    {'lmfdb_iso': '30324.d', 'p': 61, 'prec': 20, 'unit': 2826446371371296091666727760382355, 'val': 2}
  • id: 1467842
    {'lmfdb_iso': '30324.d', 'p': 67, 'prec': 20, 'unit': 31033143285546658899302920476366162, 'val': 2}
  • id: 1467836
    {'lmfdb_iso': '30324.d', 'p': 71, 'prec': 20, 'unit': 10175581634804664116158893365028429, 'val': 2}
  • id: 1467844
    {'lmfdb_iso': '30324.d', 'p': 73, 'prec': 20, 'unit': 144006462812593195183174130868457498, 'val': 2}
  • id: 1467847
    {'lmfdb_iso': '30324.d', 'p': 79, 'prec': 20, 'unit': 197592794606294786438060111034026, 'val': 2}
  • id: 1467833
    {'lmfdb_iso': '30324.d', 'p': 83, 'prec': 20, 'unit': 1529768624996277411637577606525078861, 'val': 2}
  • id: 1467846
    {'lmfdb_iso': '30324.d', 'p': 89, 'prec': 20, 'unit': 7311822339640713590142759722834930215, 'val': 2}
  • id: 1467832
    {'lmfdb_iso': '30324.d', 'p': 97, 'prec': 20, 'unit': 13916924812109259188547337832329200606, 'val': 2}