Elliptic curve data - 4902.f3

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4902h', 'Clabel': '4902h2', 'Cnumber': 2, 'abc_quality': 0.9695227777911526, 'absD': 37578744274608, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 9804, 'ainvs': [1, 0, 1, -3841, 308516], 'analytic_rank': 0, 'bad_primes': [2, 3, 19, 43], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 4902, 'degree': 13824, 'elladic_images': ['2.3.0.1', '3.8.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2885185009424191223750674853', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [-6264610702863625, 37578744274608], 'lmfdb_iso': '4902.f', 'lmfdb_label': '4902.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -3841, 308516], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.1'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.2', '6.48.0-6.b.1.2', '3268.6.0.?', '9804.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 3], [3, 4, 86], [19, 20, 258], [43, 44, 114]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.2885185009424191223750674853', 'prec': 100}, 'szpiro_ratio': 4.5666068835711915, 'torsion': 6, 'torsion_primes': [2, 3], 'torsion_structure': [6]}
• 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, 0, -1, -4, -1, 1, 0, 0, 1, 2, 4, 0, 1, -6, -1, 1, 0], 'aplist': [-1, 1, 0, -4, 0, 2, -6, 1, 0, 6, -4, 2, 0, 1, 0, 12, 6, -10, 8, -12, 14, 8, 0, 6, -10], 'class_deg': 6, 'class_size': 4, 'conductor': 4902, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '4902.f', 'trace_hash': 309531691627519936}
• 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': '0.075998855206255691295838041556', 'prec': 107}, 'conductor': 4902, 'gens': [], 'heights': [], 'lmfdb_label': '4902.f3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.56034385034307514854594836139', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.1206877006861502970918967227915604770', 'prec': 130}, 'tamagawa_product': 72, 'torsion_generators': [[118, 1166, 1]], 'xcoord_integral_points': [4, 118]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 1], '3': [3, 0], '19': [1, 0], '43': [3, 0]}, 'iwp0': 5, 'lmfdb_label': '4902.f3'}
• ec_torsion_growth •

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

  
  
  • id: 256192
    {'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '4902.f3', 'torsion': [2, 6]}
  • id: 256193
    {'degree': 4, 'field': [-48, 0, 25, 0, 1], 'lmfdb_label': '4902.f3', 'torsion': [12]}
  • id: 256194
    {'degree': 6, 'field': [1083, 57, -56, -3, 4, -3, 1], 'lmfdb_label': '4902.f3', 'torsion': [6, 6]}
  • id: 256195
    {'degree': 8, 'field': [1587, 414, -162, -474, 163, 86, -24, -4, 1], 'lmfdb_label': '4902.f3', 'torsion': [2, 12]}
  • id: 256196
    {'degree': 8, 'field': [2304, 0, 1200, 0, 673, 0, -25, 0, 1], 'lmfdb_label': '4902.f3', 'torsion': [2, 12]}
  • id: 256197
    {'degree': 9, 'field': [664119, -1664307, 526986, 91596, -54504, 5742, 26, -24, -3, 1], 'lmfdb_label': '4902.f3', 'torsion': [18]}
  • id: 256198
    {'degree': 16, 'field': [429981696, 0, -2152894464, 0, -4156308720, 0, 307936944, 0, -16815783, 0, 724224, 0, 19555, 0, 96, 0, 1], 'lmfdb_label': '4902.f3', 'torsion': [24]}
  • id: 256199
    {'degree': 18, 'field': [441054046161, -1105297900533, 2419936374915, -998727776550, 466355250144, -129339596502, 46703657142, -11103466446, 2512919241, -326707941, 35088363, -2214702, 158164, -20676, -5088, 20, 33, -3, 1], 'lmfdb_label': '4902.f3', 'torsion': [2, 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: 94632
    {'conductor': 4902, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4902.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 94633
    {'conductor': 4902, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4902.f3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 94634
    {'conductor': 4902, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '4902.f3', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 94635
    {'conductor': 4902, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4902.f3', 'prime': 43, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1695957
    {'adelic_gens': [[6709, 12, 1038, 73], [4561, 12, 7758, 73], [9793, 12, 9792, 13], [1, 6, 6, 37], [1, 0, 12, 1], [1, 12, 0, 1], [4095, 820, 4058, 809], [6542, 11, 6525, 9784], [11, 2, 9754, 9795]], 'adelic_image': '9804.96.1.?', 'conductor': 4902, 'lmfdb_label': '4902.f3', 'prime': 0}
  • id: 24355
    {'conductor': 4902, 'elladic_image': '2.3.0.1', 'lmfdb_label': '4902.f3', 'modell_image': '2B', 'prime': 2}
  • id: 24356
    {'conductor': 4902, 'elladic_image': '3.8.0.1', 'lmfdb_label': '4902.f3', 'modell_image': '3B.1.1', 'prime': 3}
• lmfdb_iso 4902.f does not appear in ec_padic