Elliptic curve data - 7488.m3

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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': '7488r', 'Clabel': '7488r4', 'Cnumber': 4, 'abc_quality': 1.1090184401235288, 'absD': 165034929586176, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 312, 'ainvs': [0, 0, 0, -3756, -624400], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 7488, 'degree': 24576, 'elladic_images': ['8.12.0.12'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4085960769634088708018216280', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 12, 'isogeny_degrees': [1, 2, 4], 'jinv': [-245314376, 6908733], 'lmfdb_iso': '7488.m', 'lmfdb_label': '7488.m3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -104, -2856], 'min_quad_twist_disc': 24, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0-4.c.1.2', '24.24.0-24.ba.1.10', '104.24.0.?', '156.12.0.?', '312.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 117], [3, 6, 832], [13, 14, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.0071440430705776116673411422837', 'prec': 113}, 'szpiro_ratio': 4.507564338060968, '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, 0, 0, -2, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, 6, 0, -8, 0], 'aplist': [0, 0, -2, 0, -4, -1, 6, -8, 8, 2, -8, 10, -6, -4, 0, -14, 12, 10, -8, 0, -14, 4, -4, 10, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 7488, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '7488.m', 'trace_hash': 2239323432320707868}
• 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': '0.059773542207797494582187879522', 'prec': 107}, 'conductor': 7488, 'gens': [], 'heights': [], 'lmfdb_label': '7488.m3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24916113712857403986290051322', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.99664454851429615945160205288161889375', 'prec': 133}, 'tamagawa_product': 16, 'torsion_generators': [[100, 0, 1]], 'xcoord_integral_points': [100]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '7488.m3'}
• ec_torsion_growth •

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

  
  
  • id: 393633
    {'degree': 2, 'field': [-39, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [4]}
  • id: 393634
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [4]}
  • id: 393632
    {'degree': 2, 'field': [26, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [2, 2]}
  • id: 393635
    {'degree': 4, 'field': [25, 0, 16, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [2, 4]}
  • id: 393639
    {'degree': 8, 'field': [-3, 0, 0, 0, -6, 0, 16, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [6]}
  • id: 393638
    {'degree': 8, 'field': [150, -240, 124, 32, -46, 8, 8, -4, 1], 'lmfdb_label': '7488.m3', 'torsion': [8]}
  • id: 393636
    {'degree': 8, 'field': [3844, 0, 1008, 0, 268, 0, -24, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [2, 4]}
  • id: 393637
    {'degree': 8, 'field': [8281, 0, 20280, 0, -1456, 0, 0, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [8]}
  • id: 393644
    {'degree': 16, 'field': [256, 0, -1024, 0, -5696, 0, -8864, 0, -6316, 0, -2216, 0, -356, 0, -16, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [12]}
  • id: 393642
    {'degree': 16, 'field': [729, 1944, 3132, 1152, 3192, 744, 4396, 760, 858, -808, -388, 96, 56, 8, 12, -8, 1], 'lmfdb_label': '7488.m3', 'torsion': [2, 8]}
  • id: 393645
    {'degree': 16, 'field': [7002, 48816, 134460, 177552, 175320, 119016, 72444, 34416, 12108, 3132, 1860, 792, 70, -84, -16, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [12]}
  • id: 393640
    {'degree': 16, 'field': [83521, 0, 0, 0, 1088780, 0, 0, 0, -24474, 0, 0, 0, 140, 0, 0, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [4, 4]}
  • id: 393643
    {'degree': 16, 'field': [1943236, 0, -2864304, 0, -747152, 0, 1989496, 0, 252756, 0, 18784, 0, 1396, 0, 60, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [2, 6]}
  • id: 393641
    {'degree': 16, 'field': [418161601, 0, -165882288, 0, 47727628, 0, -7171008, 0, 761007, 0, 16224, 0, -884, 0, 0, 0, 1], 'lmfdb_label': '7488.m3', 'torsion': [2, 8]}
• 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: 154618
    {'conductor': 7488, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '7488.m3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 154619
    {'conductor': 7488, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '7488.m3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 154620
    {'conductor': 7488, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '7488.m3', '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: 1713599
    {'adelic_gens': [[7, 6, 306, 307], [192, 31, 125, 138], [1, 0, 8, 1], [103, 304, 100, 279], [1, 8, 0, 1], [1, 4, 4, 17], [120, 281, 265, 252], [305, 8, 304, 9], [268, 1, 215, 6]], 'adelic_image': '312.48.0.?', 'conductor': 7488, 'lmfdb_label': '7488.m3', 'prime': 0}
  • id: 36976
    {'conductor': 7488, 'elladic_image': '8.12.0.12', 'lmfdb_label': '7488.m3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 7488.m does not appear in ec_padic