Elliptic curve data - 124800.w2

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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': '124800s', 'Clabel': '124800s2', 'Cnumber': 2, 'abc_quality': 0.971528962582055, 'absD': 133254201600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 3120, 'ainvs': [0, -1, 0, 40867, -17286363], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 124800, 'degree': 1179648, 'elladic_images': ['4.6.0.5'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.9663976957282002737336291441', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 22, 'isogeny_degrees': [1, 2], 'jinv': [29484338816, 520524225], 'lmfdb_iso': '124800.w', 'lmfdb_label': '124800.w2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 409, -17409], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.a.1', '12.12.0-4.a.1.2', '40.12.0.g.1', '120.24.0.?', '1040.24.0.?', '3120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 25], [3, 4, 41600], [5, 18, 4992], [13, 14, 9600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.35300702885788055877981200245', 'prec': 103}, 'szpiro_ratio': 3.9927184487711247, '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, -1, 0, 0, 0, -2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 6, 0], 'aplist': [0, -1, 0, -2, 2, 1, 2, 6, -6, 6, 0, 10, 6, 8, 6, -10, 6, 10, 12, -12, -10, 8, 8, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 124800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '124800.w', 'trace_hash': 1520869740286873622}
• 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': '0.019588837477097305780065428909', 'prec': 107}, 'conductor': 124800, 'gens': [], 'heights': [], 'lmfdb_label': '124800.w2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16006871170338543100044538650', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5610993872541668960071261839566927993', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[207, 0, 1]], 'xcoord_integral_points': [207]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '13': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '124800.w2'}
• ec_torsion_growth •

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

  
  
  • id: 5690196
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [2, 2]}
  • id: 5690197
    {'degree': 4, 'field': [-1, 0, -6, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [4]}
  • id: 5690200
    {'degree': 8, 'field': [-2700, 0, -720, 0, 180, 0, 0, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [6]}
  • id: 5690198
    {'degree': 8, 'field': [81, 0, 0, 0, 22, 0, 0, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [2, 4]}
  • id: 5690199
    {'degree': 8, 'field': [169, 0, -168, 0, 158, 0, -24, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [2, 4]}
  • id: 5690201
    {'degree': 16, 'field': [6561, 0, 0, 0, -1782, 0, 0, 0, 403, 0, 0, 0, -22, 0, 0, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [4, 4]}
  • id: 5690203
    {'degree': 16, 'field': [3236401, 0, 11277368, 0, -922652, 0, 31736, 0, 39670, 0, -2104, 0, 388, 0, 8, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [2, 6]}
  • id: 5690202
    {'degree': 16, 'field': [1128691216, 0, -163038208, 0, -11744160, 0, 5682112, 0, -396536, 0, -20672, 0, 3240, 0, -112, 0, 1], 'lmfdb_label': '124800.w2', 'torsion': [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: 3074937
    {'conductor': 124800, 'conductor_valuation': 7, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '124800.w2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3074938
    {'conductor': 124800, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '124800.w2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 3074939
    {'conductor': 124800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '124800.w2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 3074940
    {'conductor': 124800, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '124800.w2', 'prime': 13, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 2478237
    {'adelic_gens': [[3, 8, 10, 27], [1, 0, 8, 1], [2081, 8, 1042, 17], [1, 8, 0, 1], [779, 3114, 0, 3119], [623, 3114, 0, 3119], [2641, 4, 0, 1], [5, 8, 48, 77], [1949, 3116, 1753, 3111], [3113, 8, 3112, 9]], 'adelic_image': '3120.48.0.?', 'conductor': 124800, 'lmfdb_label': '124800.w2', 'prime': 0}
  • id: 488294
    {'conductor': 124800, 'elladic_image': '4.6.0.5', 'lmfdb_label': '124800.w2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 124800.w does not appear in ec_padic