Elliptic curve data - 3630.g1

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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': '3630i', 'Clabel': '3630i2', 'Cnumber': 2, 'abc_quality': 0.9969513053929001, 'absD': 2811072000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 120, 'ainvs': [1, 0, 1, -1939, -32914], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 3630, 'degree': 2592, 'elladic_images': ['3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67568563424208670778333442247', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 6, 'isogeny_degrees': [1, 3], 'jinv': [55025549689, 192000], 'lmfdb_iso': '3630.g', 'lmfdb_label': '3630.g1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1939, -32914], 'min_quad_twist_disc': 1, 'modell_images': ['3B.1.2'], 'modm_images': ['3.8.0-3.a.1.1', '120.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9704830517424903349837856051', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.12361279002403680690398010352', 'prec': 107}, 'szpiro_ratio': 4.187226436087332, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, -1, 1, -1, 1, -3, -1, -1, -1], 'aplist': [-1, 1, -1, -1, 0, -1, -3, -1, 6, 3, -4, -1, 0, -4, 6, 6, -6, -10, 2, -15, -4, -10, 3, 12, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 3630, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '3630.g', 'trace_hash': 1161484333983356410}
• 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': '0.25888501627001342414165753254', 'prec': 103}, 'conductor': 3630, 'gens': [[-105, 41, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9704830517424903349837856051', 'prec': 100}], 'lmfdb_label': '3630.g1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.71965286832240960110334782630', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.8573695168119974239332615005891928230', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [2, 1], '5': [3, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '3630.g1'}
• ec_torsion_growth •

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

  
  
  • id: 189400
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '3630.g1', 'torsion': [3]}
  • id: 189402
    {'degree': 3, 'field': [-33, 0, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [3]}
  • id: 189401
    {'degree': 3, 'field': [-22, -33, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [2]}
  • id: 189403
    {'degree': 6, 'field': [-750, 0, 301, 0, -32, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [2, 2]}
  • id: 189405
    {'degree': 6, 'field': [31, -125, 148, -47, 26, -3, 1], 'lmfdb_label': '3630.g1', 'torsion': [6]}
  • id: 189404
    {'degree': 6, 'field': [1156, -102, -93, 59, 6, -3, 1], 'lmfdb_label': '3630.g1', 'torsion': [3, 3]}
  • id: 189406
    {'degree': 9, 'field': [-27000, 0, 0, 6000, 0, 0, -189, 0, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [6]}
  • id: 189408
    {'degree': 12, 'field': [35044, -16696, 22346, -11952, 7605, -1934, 557, 178, -166, 70, -3, -6, 1], 'lmfdb_label': '3630.g1', 'torsion': [2, 6]}
  • id: 189407
    {'degree': 12, 'field': [108000, 0, -93200, 0, -26400, 0, -1720, 0, 110, 0, 27, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [4]}
  • id: 189411
    {'degree': 18, 'field': [-1728000, 0, 0, 0, 0, 0, 195561, 0, 0, 0, 0, 0, -2142, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [2, 6]}
  • id: 189410
    {'degree': 18, 'field': [1728, 0, 0, 0, 0, 0, 730161, 0, 0, 0, 0, 0, 1818, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [3, 6]}
  • id: 189409
    {'degree': 18, 'field': [1259712, 0, 0, 524880, 0, 0, 58887, 0, 0, -8190, 0, 0, 64, 0, 0, -10, 0, 0, 1], 'lmfdb_label': '3630.g1', 'torsion': [9]}
• 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: 66812
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 9, 'j_denominator_valuation': 9, 'kodaira_symbol': 13, 'lmfdb_label': '3630.g1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 66813
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '3630.g1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 66814
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3630.g1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 66815
    {'conductor': 3630, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '3630.g1', 'prime': 11, 'reduction_type': 0, '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: 1687554
    {'adelic_gens': [[98, 27, 1, 106], [97, 6, 51, 19], [61, 6, 63, 19], [1, 0, 6, 1], [4, 3, 9, 7], [115, 6, 114, 7], [3, 4, 8, 11], [31, 6, 93, 19], [1, 6, 0, 1]], 'adelic_image': '120.16.0.?', 'conductor': 3630, 'lmfdb_label': '3630.g1', 'prime': 0}
  • id: 18147
    {'conductor': 3630, 'elladic_image': '3.8.0.2', 'lmfdb_label': '3630.g1', 'modell_image': '3B.1.2', 'prime': 3}
• ec_padic •

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

  
  
  • id: 123060
    {'lmfdb_iso': '3630.g', 'p': 7, 'prec': 20, 'unit': 754046271861592, 'val': 1}
  • id: 123064
    {'lmfdb_iso': '3630.g', 'p': 13, 'prec': 20, 'unit': 330520407650132221772, 'val': 1}
  • id: 123066
    {'lmfdb_iso': '3630.g', 'p': 17, 'prec': 20, 'unit': 47676377721393848348936, 'val': 1}
  • id: 123067
    {'lmfdb_iso': '3630.g', 'p': 19, 'prec': 20, 'unit': 795750630306885674376529, 'val': 1}
  • id: 123070
    {'lmfdb_iso': '3630.g', 'p': 23, 'prec': 20, 'unit': 37904260435169162257816413, 'val': 1}
  • id: 123063
    {'lmfdb_iso': '3630.g', 'p': 29, 'prec': 20, 'unit': 2423392690335042598267946488, 'val': 1}
  • id: 123075
    {'lmfdb_iso': '3630.g', 'p': 31, 'prec': 20, 'unit': 5169093379788008857896198295, 'val': 1}
  • id: 123059
    {'lmfdb_iso': '3630.g', 'p': 37, 'prec': 20, 'unit': 256332524739636667305536929592, 'val': 1}
  • id: 123062
    {'lmfdb_iso': '3630.g', 'p': 43, 'prec': 20, 'unit': 2549692211777926659035233165225, 'val': 1}
  • id: 123073
    {'lmfdb_iso': '3630.g', 'p': 47, 'prec': 20, 'unit': 2949215903434991268723264423840, 'val': 1}
  • id: 123068
    {'lmfdb_iso': '3630.g', 'p': 53, 'prec': 20, 'unit': 112306658397562471165108378995258, 'val': 1}
  • id: 123069
    {'lmfdb_iso': '3630.g', 'p': 59, 'prec': 20, 'unit': 1189858575358751620439551561978762, 'val': 1}
  • id: 123074
    {'lmfdb_iso': '3630.g', 'p': 61, 'prec': 20, 'unit': 5816236347648260903689329559537172, 'val': 1}
  • id: 123058
    {'lmfdb_iso': '3630.g', 'p': 67, 'prec': 20, 'unit': 46028189898068017703032755661400374, 'val': 1}
  • id: 123072
    {'lmfdb_iso': '3630.g', 'p': 71, 'prec': 20, 'unit': 21079466808055335419191400224338537, 'val': 1}
  • id: 123061
    {'lmfdb_iso': '3630.g', 'p': 73, 'prec': 20, 'unit': 98333908404603726677716102752563789, 'val': 1}
  • id: 123065
    {'lmfdb_iso': '3630.g', 'p': 79, 'prec': 20, 'unit': 802836140944071192681168719585328962, 'val': 1}
  • id: 123057
    {'lmfdb_iso': '3630.g', 'p': 83, 'prec': 20, 'unit': 1114599790617727666969858115758812235, 'val': 1}
  • id: 123071
    {'lmfdb_iso': '3630.g', 'p': 89, 'prec': 20, 'unit': 7751057005962067283121607601560647705, 'val': 1}
  • id: 123056
    {'lmfdb_iso': '3630.g', 'p': 97, 'prec': 20, 'unit': 27358858351840449296394426333762023943, 'val': 1}