Elliptic curve data - 93138.m1

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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': '93138l', 'Clabel': '93138l1', 'Cnumber': 1, 'abc_quality': 0.9089297893435435, 'absD': 348601377024, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 516, 'ainvs': [1, 0, 1, 1436, 19298], 'analytic_rank': 2, 'bad_primes': [2, 3, 19, 43], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 93138, 'degree': 92160, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.90144105750236438380067842908', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 12, 'isogeny_degrees': [1], 'jinv': [2515401431, 2674944], 'lmfdb_iso': '93138.m', 'lmfdb_label': '93138.m1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 1436, 19298], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['516.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 16, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '0.50419485871867382907114285578', 'prec': 103}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.080038602219782436202330714882', 'prec': 110}, 'szpiro_ratio': 2.9211613984891116, '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, -1, 1, -5, -1, -1, 1, -2, -1, 0, -1], 'aplist': [-1, 1, -1, 1, -1, -5, -2, 0, -1, -6, -2, -2, -6, -1, -13, 4, 5, -2, -6, -2, -6, -4, 7, -11, -7], 'class_deg': 1, 'class_size': 1, 'conductor': 93138, 'isogeny_matrix': [[1]], 'lmfdb_iso': '93138.m', 'trace_hash': 198411272743449779}
• 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': '0.16482316369128545324831312475', 'prec': 103}, 'conductor': 93138, 'gens': [[49, 431, 1], [3697, 222959, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.12678311707680144196692908353', 'prec': 103}, {'__RealLiteral__': 0, 'data': '3.9925903824057430179980055445', 'prec': 100}], 'lmfdb_label': '93138.m1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.63506170539273292326967538753', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '9.6058454048438711397277289933342779064', 'prec': 130}, 'tamagawa_product': 30, 'torsion_generators': [], 'xcoord_integral_points': [-8, 1, 36, 49, 106, 657, 1966, 3697]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [5, 0], '5': [2, 0], '7': [2, 0], '11': [4, 0], '13': [2, 0], '17': [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': '93138.m1'}
• ec_torsion_growth •

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

  
  
  • id: 4347251
    {'degree': 3, 'field': [216, 108, -1, 1], 'lmfdb_label': '93138.m1', 'torsion': [2]}
  • id: 4347252
    {'degree': 6, 'field': [10449, 0, 4239, 0, -33, 0, 1], 'lmfdb_label': '93138.m1', 'torsion': [2, 2]}
  • id: 4347253
    {'degree': 8, 'field': [-192, 0, -1360, 0, 48, 0, 0, 0, 1], 'lmfdb_label': '93138.m1', 'torsion': [3]}
  • id: 4347254
    {'degree': 12, 'field': [-198448, 270400, -166008, 60800, -11815, -2592, -60, 1688, -297, -32, 4, 0, 1], 'lmfdb_label': '93138.m1', 'torsion': [4]}
• 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: 2281319
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '93138.m1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 2281320
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '93138.m1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 2281321
    {'conductor': 93138, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '93138.m1', 'prime': 19, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 2281322
    {'conductor': 93138, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '93138.m1', 'prime': 43, '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

  
  {'adelic_gens': [[515, 2, 514, 3], [173, 2, 173, 3], [259, 2, 259, 3], [433, 2, 433, 3], [1, 0, 2, 1], [1, 2, 0, 1], [1, 1, 515, 0]], 'adelic_image': '516.2.0.?', 'conductor': 93138, 'lmfdb_label': '93138.m1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 4835627
    {'lmfdb_iso': '93138.m', 'p': 5, 'prec': 20, 'unit': 5644736721994, 'val': 1}
  • id: 4835628
    {'lmfdb_iso': '93138.m', 'p': 7, 'prec': 20, 'unit': 461512017608396, 'val': 0}
  • id: 4835631
    {'lmfdb_iso': '93138.m', 'p': 11, 'prec': 20, 'unit': 4806594186938438967, 'val': 3}
  • id: 4835633
    {'lmfdb_iso': '93138.m', 'p': 13, 'prec': 20, 'unit': 351895146886863644358, 'val': 2}
  • id: 4835635
    {'lmfdb_iso': '93138.m', 'p': 17, 'prec': 20, 'unit': 216910920195362537948624, 'val': 2}
  • id: 4835640
    {'lmfdb_iso': '93138.m', 'p': 23, 'prec': 20, 'unit': 55406587878383960134576134, 'val': 2}
  • id: 4835632
    {'lmfdb_iso': '93138.m', 'p': 29, 'prec': 20, 'unit': 1855807247251381313821689823, 'val': 2}
  • id: 4835629
    {'lmfdb_iso': '93138.m', 'p': 31, 'prec': 20, 'unit': 9914734437527969815315819428, 'val': 2}
  • id: 4835645
    {'lmfdb_iso': '93138.m', 'p': 37, 'prec': 20, 'unit': 343402516969919257490400241333, 'val': 2}
  • id: 4835630
    {'lmfdb_iso': '93138.m', 'p': 41, 'prec': 20, 'unit': 1061787442612539056877769627344, 'val': 2}
  • id: 4835643
    {'lmfdb_iso': '93138.m', 'p': 47, 'prec': 20, 'unit': 33509748865326519554716840693666, 'val': 2}
  • id: 4835637
    {'lmfdb_iso': '93138.m', 'p': 53, 'prec': 20, 'unit': 2911048390343689655589209604595, 'val': 2}
  • id: 4835638
    {'lmfdb_iso': '93138.m', 'p': 59, 'prec': 20, 'unit': 2282854924109433550417493617796712, 'val': 2}
  • id: 4835644
    {'lmfdb_iso': '93138.m', 'p': 61, 'prec': 20, 'unit': 7722908840716119861935345967376803, 'val': 2}
  • id: 4835626
    {'lmfdb_iso': '93138.m', 'p': 67, 'prec': 20, 'unit': 36719474960177741085709513168088433, 'val': 2}
  • id: 4835642
    {'lmfdb_iso': '93138.m', 'p': 71, 'prec': 20, 'unit': 58270851007256033597981857141983038, 'val': 2}
  • id: 4835639
    {'lmfdb_iso': '93138.m', 'p': 73, 'prec': 20, 'unit': 158182804766763728222645665191904954, 'val': 2}
  • id: 4835634
    {'lmfdb_iso': '93138.m', 'p': 79, 'prec': 20, 'unit': 755263976932221300394081466792465364, 'val': 2}
  • id: 4835636
    {'lmfdb_iso': '93138.m', 'p': 83, 'prec': 20, 'unit': 219464002102922806229982630283337542, 'val': 2}
  • id: 4835641
    {'lmfdb_iso': '93138.m', 'p': 89, 'prec': 20, 'unit': 10202329359048049261905457762561214203, 'val': 2}
  • id: 4835625
    {'lmfdb_iso': '93138.m', 'p': 97, 'prec': 20, 'unit': 37384246239633441980317704363423240150, 'val': 2}