Elliptic curve data - 57330.fg1

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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': '57330ez', 'Clabel': '57330ez3', 'Cnumber': 3, 'abc_quality': 0.9543225417743602, 'absD': 3859008877301760, 'adelic_genus': 9, 'adelic_index': 384, 'adelic_level': 10920, 'ainvs': [1, -1, 1, -91517, -10205499], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 57330, 'degree': 497664, 'elladic_images': ['4.6.0.3', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7527106213393750838401354349', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 136, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [988345570681, 44994560], 'lmfdb_iso': '57330.fg', 'lmfdb_label': '57330.fg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -208, -1122], 'min_quad_twist_disc': 21, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '4.6.0.b.1', '6.12.0.a.1', '12.24.0.f.1', '21.8.0-3.a.1.1', '24.48.0.br.2', '42.24.0-6.a.1.3', '84.48.0.?', '130.6.0.?', '168.96.0.?', '260.24.0.?', '390.24.0.?', '780.96.3.?', '1560.192.9.?', '2730.48.0.?', '5460.192.3.?', '10920.384.9.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6722520697130763885537848051', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 28665], [3, 6, 245], [5, 6, 11466], [7, 26, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.23044940247766358558983644472', 'prec': 103}, 'szpiro_ratio': 4.188025432289438, '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, 0, 1, 0, 1, 6, 0, -1, 0, 0, 1, -6, 0, -2, 1], 'aplist': [1, 0, 1, 0, 6, -1, -6, -2, -6, 6, -2, 2, -6, 2, -12, -6, 6, -2, -4, 6, 10, -4, 0, -6, -2], 'class_deg': 6, 'class_size': 4, 'conductor': 57330, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '57330.fg', 'trace_hash': 1730231328635395188}
• 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': '0.030034119026338330530122724893', 'prec': 107}, 'conductor': 57330, 'gens': [[-201, 296, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6722520697130763885537848051', 'prec': 100}], 'lmfdb_label': '57330.fg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.27526215613721560362991168949', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.047385047539426846553379221129575846', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-145, 72, 1]], 'xcoord_integral_points': [-201, -145, 359, 6255]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [8, 0], '3': 'a', '5': [2, 0], '7': 'a', '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': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '57330.fg1'}
• ec_torsion_growth •

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

  
  
  • id: 2763086
    {'degree': 2, 'field': [-16, -1, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 2]}
  • id: 2763087
    {'degree': 2, 'field': [2, -1, 1], 'lmfdb_label': '57330.fg1', 'torsion': [6]}
  • id: 2763089
    {'degree': 4, 'field': [324, 0, -29, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 6]}
  • id: 2763088
    {'degree': 4, 'field': [1810, -42, -73, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [4]}
  • id: 2763090
    {'degree': 6, 'field': [-20, -240, 75, 19, -12, -3, 1], 'lmfdb_label': '57330.fg1', 'torsion': [6]}
  • id: 2763093
    {'degree': 8, 'field': [3364, 0, -1064, 0, 165, 0, -14, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [12]}
  • id: 2763092
    {'degree': 8, 'field': [10000, 0, 28425, 0, 671, 0, -57, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 4]}
  • id: 2763091
    {'degree': 8, 'field': [87616, 0, -49289, 0, 671, 0, 41, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 4]}
  • id: 2763095
    {'degree': 12, 'field': [-526340, 61590, 291225, 6670, -85695, 14520, 3701, -2196, 585, 20, -15, -6, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 6]}
  • id: 2763094
    {'degree': 12, 'field': [64, 264, 825, 1457, 1776, -1377, 347, 24, -21, 19, 0, -3, 1], 'lmfdb_label': '57330.fg1', 'torsion': [3, 6]}
  • id: 2763099
    {'degree': 16, 'field': [1048576, 0, -699392, 0, -71356, 0, 30672, 0, 25889, 0, 1992, 0, 602, 0, 40, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 12]}
  • id: 2763097
    {'degree': 16, 'field': [2051380, -287200, 1772584, 289688, 465033, 334352, 48328, 77904, 27564, 4328, 7214, -208, 768, -16, 40, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [8]}
  • id: 2763098
    {'degree': 16, 'field': [6839296, -7173248, 13198976, -9337232, 9334024, -4630052, 2951042, -926516, 393201, -88330, 33292, -8726, 1734, -370, 50, -6, 1], 'lmfdb_label': '57330.fg1', 'torsion': [2, 12]}
  • id: 2763096
    {'degree': 16, 'field': [1090056256, 0, 4946272160, 0, 2245861876, 0, 109130440, 0, -2638239, 0, -4120, 0, 3946, 0, -80, 0, 1], 'lmfdb_label': '57330.fg1', 'torsion': [4, 4]}
  • id: 2763100
    {'degree': 18, 'field': [90126464, 67843008, 59426592, 30714416, 27365232, 8898024, 2237176, -482604, 739104, 349239, 178929, -11556, 1340, -2958, 1326, -232, 60, -9, 1], 'lmfdb_label': '57330.fg1', '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: 1379659
    {'conductor': 57330, 'conductor_valuation': 1, 'discriminant_valuation': 12, 'j_denominator_valuation': 12, 'kodaira_symbol': 16, 'lmfdb_label': '57330.fg1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 12}
  • id: 1379660
    {'conductor': 57330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '57330.fg1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1379661
    {'conductor': 57330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '57330.fg1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1379662
    {'conductor': 57330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '57330.fg1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1379663
    {'conductor': 57330, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '57330.fg1', '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: 2044762
    {'adelic_gens': [[3858, 1561, 4823, 8], [1, 24, 0, 1], [1, 0, 24, 1], [7, 24, 492, 1687], [3119, 0, 0, 10919], [21, 4, 10820, 10901], [10312, 4683, 2037, 6154], [5461, 4704, 5460, 1], [1, 12, 12, 145], [7279, 6216, 7280, 10919], [10897, 24, 10896, 25], [8191, 4704, 7812, 1849]], 'adelic_image': '10920.384.9.?', 'conductor': 57330, 'lmfdb_label': '57330.fg1', 'prime': 0}
  • id: 243412
    {'conductor': 57330, 'elladic_image': '4.6.0.3', 'lmfdb_label': '57330.fg1', 'modell_image': '2B', 'prime': 2}
  • id: 243413
    {'conductor': 57330, 'elladic_image': '3.4.0.1', 'lmfdb_label': '57330.fg1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 2906278
    {'lmfdb_iso': '57330.fg', 'p': 11, 'prec': 20, 'unit': 43214689789093001852, 'val': 1}
  • id: 2906279
    {'lmfdb_iso': '57330.fg', 'p': 17, 'prec': 20, 'unit': 128055831857473332913194, 'val': 1}
  • id: 2906280
    {'lmfdb_iso': '57330.fg', 'p': 19, 'prec': 20, 'unit': 973737596111204399680636, 'val': 1}
  • id: 2906284
    {'lmfdb_iso': '57330.fg', 'p': 23, 'prec': 20, 'unit': 68492286675850206675732570, 'val': 1}
  • id: 2906276
    {'lmfdb_iso': '57330.fg', 'p': 29, 'prec': 20, 'unit': 1655910290917473336918409628, 'val': 1}
  • id: 2906288
    {'lmfdb_iso': '57330.fg', 'p': 31, 'prec': 20, 'unit': 10105191057954328601204600024, 'val': 1}
  • id: 2906272
    {'lmfdb_iso': '57330.fg', 'p': 37, 'prec': 20, 'unit': 613782411318441937811184210743, 'val': 1}
  • id: 2906274
    {'lmfdb_iso': '57330.fg', 'p': 41, 'prec': 20, 'unit': 2110858275377009370357254172117, 'val': 1}
  • id: 2906275
    {'lmfdb_iso': '57330.fg', 'p': 43, 'prec': 20, 'unit': 2753617307325192230088053676036, 'val': 1}
  • id: 2906286
    {'lmfdb_iso': '57330.fg', 'p': 47, 'prec': 20, 'unit': 8496894237468961462013744173318, 'val': 1}
  • id: 2906281
    {'lmfdb_iso': '57330.fg', 'p': 53, 'prec': 20, 'unit': 286122459623568276237165030989277, 'val': 1}
  • id: 2906282
    {'lmfdb_iso': '57330.fg', 'p': 59, 'prec': 20, 'unit': 2268193614252169590374779526438236, 'val': 1}
  • id: 2906287
    {'lmfdb_iso': '57330.fg', 'p': 61, 'prec': 20, 'unit': 5560679713419283653995463782296845, 'val': 1}
  • id: 2906271
    {'lmfdb_iso': '57330.fg', 'p': 67, 'prec': 20, 'unit': 681135769556743674555902767911145, 'val': 1}
  • id: 2906273
    {'lmfdb_iso': '57330.fg', 'p': 71, 'prec': 20, 'unit': 105809341965368345906723057913944277, 'val': 1}
  • id: 2906283
    {'lmfdb_iso': '57330.fg', 'p': 73, 'prec': 20, 'unit': 225007312429326013526018037113076305, 'val': 1}
  • id: 2906277
    {'lmfdb_iso': '57330.fg', 'p': 79, 'prec': 20, 'unit': 986928186030032967988904421206902511, 'val': 1}
  • id: 2906285
    {'lmfdb_iso': '57330.fg', 'p': 89, 'prec': 20, 'unit': 9234302072503013884509382622496375630, 'val': 1}
  • id: 2906270
    {'lmfdb_iso': '57330.fg', 'p': 97, 'prec': 20, 'unit': 47650882777501649935468516966763413314, 'val': 1}