Elliptic curve data - 57330.cu1

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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': '57330cx', 'Clabel': '57330cx2', 'Cnumber': 2, 'abc_quality': 0.9755151248196078, 'absD': 5645544001086102750000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [1, -1, 0, -5378004, -3157089440], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 57330, 'degree': 3440640, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8767959110713150457529670313', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 72, 'isogeny_degrees': [1, 2], 'jinv': [584759426925367, 191909250000], 'lmfdb_iso': '57330.cu', 'lmfdb_label': '57330.cu1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -12195, -342063], 'min_quad_twist_disc': 21, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '364.6.0.?', '420.6.0.?', '780.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.2650421378138125695618441743', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 819], [3, 8, 1274], [5, 6, 11466], [7, 20, 1170], [13, 14, 4410]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.86805715494577522122632985526', 'prec': 103}, 'szpiro_ratio': 5.3033967069165735, '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, 4, 0, 1, 0, 0, 1, 0, 0, -2, 1], 'aplist': [-1, 0, 1, 0, 4, 1, 0, -2, 4, -2, 6, -4, 6, -6, -10, -6, -4, 4, -8, 12, -10, 0, -6, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 57330, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '57330.cu', 'trace_hash': 1364318837778280950}
• 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': '0.0031713693202346706027413912904', 'prec': 110}, 'conductor': 57330, 'gens': [[-649, 8042, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.2650421378138125695618441743', 'prec': 100}], 'lmfdb_label': '57330.cu1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10173810963900765811336293589', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.5305865284929749660834181190490697243', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[-7741, 7741, 2]], 'xcoord_integral_points': [-649, 2621, 72321]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 1], '3': 'a', '5': [2, 0], '7': 'a', '11': [1, 0], '13': [2, 0], '17': [1, 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.cu1'}
• ec_torsion_growth •

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

  
  
  • id: 2761498
    {'degree': 2, 'field': [-91, 0, 1], 'lmfdb_label': '57330.cu1', 'torsion': [2, 2]}
  • id: 2761499
    {'degree': 4, 'field': [520, -130, 24, -1, 1], 'lmfdb_label': '57330.cu1', 'torsion': [4]}
  • id: 2761502
    {'degree': 8, 'field': [28928, -26968, 4531, -1384, 551, 172, -55, -4, 1], 'lmfdb_label': '57330.cu1', 'torsion': [6]}
  • id: 2761501
    {'degree': 8, 'field': [270400, 0, 27885, 0, 971, 0, -33, 0, 1], 'lmfdb_label': '57330.cu1', 'torsion': [2, 4]}
  • id: 2761500
    {'degree': 8, 'field': [7505325, 1376316, -1386708, 20652, -9995, -400, 138, -4, 1], 'lmfdb_label': '57330.cu1', 'torsion': [2, 4]}
  • id: 2761503
    {'degree': 16, 'field': [3405422736, 0, -159599808, 0, 408237948, 0, 4723164, 0, 2008665, 0, -48096, 0, 3498, 0, -108, 0, 1], 'lmfdb_label': '57330.cu1', 'torsion': [8]}
  • id: 2761504
    {'degree': 16, 'field': [73116160000, 0, 6342299600, 0, -60839831, 0, 17724889, 0, 744614, 0, -64883, 0, 2626, 0, -91, 0, 1], 'lmfdb_label': '57330.cu1', '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: 1378944
    {'conductor': 57330, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '57330.cu1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1378945
    {'conductor': 57330, 'conductor_valuation': 2, 'discriminant_valuation': 16, 'j_denominator_valuation': 10, 'kodaira_symbol': -14, 'lmfdb_label': '57330.cu1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 1378946
    {'conductor': 57330, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '57330.cu1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 1378947
    {'conductor': 57330, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '57330.cu1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1378948
    {'conductor': 57330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '57330.cu1', '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: 2044590
    {'adelic_gens': [[1, 2, 2, 5], [2942, 1, 1259, 0], [1, 4, 0, 1], [3641, 4, 1822, 9], [1, 0, 4, 1], [3904, 1, 3119, 0], [3, 4, 8, 11], [5457, 4, 5456, 5], [3277, 4, 1094, 9], [4096, 1369, 1365, 4096]], 'adelic_image': '5460.12.0.?', 'conductor': 57330, 'lmfdb_label': '57330.cu1', 'prime': 0}
  • id: 243211
    {'conductor': 57330, 'elladic_image': '2.3.0.1', 'lmfdb_label': '57330.cu1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 2905782
    {'lmfdb_iso': '57330.cu', 'p': 11, 'prec': 20, 'unit': 30439012170739566710, 'val': 1}
  • id: 2905783
    {'lmfdb_iso': '57330.cu', 'p': 19, 'prec': 20, 'unit': 97217255279397931591806, 'val': 1}
  • id: 2905786
    {'lmfdb_iso': '57330.cu', 'p': 23, 'prec': 20, 'unit': 53774915640250950225624077, 'val': 1}
  • id: 2905780
    {'lmfdb_iso': '57330.cu', 'p': 29, 'prec': 20, 'unit': 658860808224952402955427773, 'val': 1}
  • id: 2905790
    {'lmfdb_iso': '57330.cu', 'p': 31, 'prec': 20, 'unit': 20160995438838489131590007049, 'val': 1}
  • id: 2905776
    {'lmfdb_iso': '57330.cu', 'p': 37, 'prec': 20, 'unit': 124227541334185147885429109076, 'val': 1}
  • id: 2905778
    {'lmfdb_iso': '57330.cu', 'p': 41, 'prec': 20, 'unit': 1198840666197415619995075250107, 'val': 1}
  • id: 2905779
    {'lmfdb_iso': '57330.cu', 'p': 43, 'prec': 20, 'unit': 10067983245433750919849557883870, 'val': 1}
  • id: 2905781
    {'lmfdb_iso': '57330.cu', 'p': 47, 'prec': 20, 'unit': 17894248109996824515583921676682, 'val': 1}
  • id: 2905784
    {'lmfdb_iso': '57330.cu', 'p': 53, 'prec': 20, 'unit': 428699337668232370402338571130590, 'val': 1}
  • id: 2905788
    {'lmfdb_iso': '57330.cu', 'p': 59, 'prec': 20, 'unit': 1915603220703323314274827387248176, 'val': 1}
  • id: 2905789
    {'lmfdb_iso': '57330.cu', 'p': 61, 'prec': 20, 'unit': 4743775124672519136799850254682550, 'val': 1}
  • id: 2905775
    {'lmfdb_iso': '57330.cu', 'p': 67, 'prec': 20, 'unit': 41252177492682648901432757369969654, 'val': 1}
  • id: 2905777
    {'lmfdb_iso': '57330.cu', 'p': 71, 'prec': 20, 'unit': 3340725857055734027195690519559711, 'val': 1}
  • id: 2905785
    {'lmfdb_iso': '57330.cu', 'p': 73, 'prec': 20, 'unit': 233387138248016872204710467156948833, 'val': 1}
  • id: 2905774
    {'lmfdb_iso': '57330.cu', 'p': 83, 'prec': 20, 'unit': 872764937408323009375419105225912275, 'val': 1}
  • id: 2905787
    {'lmfdb_iso': '57330.cu', 'p': 89, 'prec': 20, 'unit': 992331917459379529261479147646064230, 'val': 1}
  • id: 2905773
    {'lmfdb_iso': '57330.cu', 'p': 97, 'prec': 20, 'unit': 17175958955521758090581224892764355671, 'val': 1}