Elliptic curve data - 3630.a1

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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': '3630c', 'Clabel': '3630c3', 'Cnumber': 3, 'abc_quality': 1.0649571940318452, 'absD': 92487940488281250000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 264, 'ainvs': [1, 1, 0, -221781628, 1271089482832], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 3630, 'degree': 1075200, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4550117874629358858236697856', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2, 4], 'jinv': [680995599504466943307169, 52207031250000000], 'lmfdb_iso': '3630.a', 'lmfdb_label': '3630.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1832906, -955821481], 'min_quad_twist_disc': -11, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '88.24.0.?', '264.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 363], [3, 4, 1210], [5, 6, 242], [7, 2, 1815], [11, 72, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2560641510637506137926979966', 'prec': 100}, 'szpiro_ratio': 8.450081304089718, '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, -1, -1, 1, -1, 1, -4, -1, 1, 1, 0, -1, -2, 4, 1, 1, -2, -1, -4, -1], 'aplist': [-1, -1, -1, -4, 0, -2, -2, -4, -4, -6, 0, -10, 6, 12, -4, -6, -4, -10, -12, -4, -10, -4, -4, 10, 18], 'class_deg': 4, 'class_size': 4, 'conductor': 3630, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '3630.a', 'trace_hash': 1373906721353943872}
• 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': '0.00099773427469548528007910372966', 'prec': 113}, 'conductor': 3630, 'gens': [], 'heights': [], 'lmfdb_label': '3630.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10201281279648520202493480216', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.20402562559297040404986960431497366925', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[34619, -34619, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 0], '5': [0, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '3630.a1'}
• ec_torsion_growth •

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

  
  
  • id: 189235
    {'degree': 2, 'field': [-66, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 2]}
  • id: 189237
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [4]}
  • id: 189236
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [4]}
  • id: 189238
    {'degree': 4, 'field': [121, 0, -44, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 4]}
  • id: 189242
    {'degree': 8, 'field': [-363, 0, -1496, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [6]}
  • id: 189241
    {'degree': 8, 'field': [324, 0, 480, 0, 286, 0, 32, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [8]}
  • id: 189240
    {'degree': 8, 'field': [526, 250, -677, -230, 265, 46, -35, -2, 1], 'lmfdb_label': '3630.a1', 'torsion': [8]}
  • id: 189239
    {'degree': 8, 'field': [4356, 0, 0, 0, 66, 0, 0, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 4]}
  • id: 189245
    {'degree': 16, 'field': [81, 0, -468, 0, 268, 0, 1800, 0, 903, 0, -280, 0, 108, 0, 12, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 8]}
  • id: 189247
    {'degree': 16, 'field': [12544, 38080, 2232, -90360, 19044, -12504, -36320, 5344, 19404, -876, -9936, -552, 224, -28, 24, -8, 1], 'lmfdb_label': '3630.a1', 'torsion': [12]}
  • id: 189244
    {'degree': 16, 'field': [36100, 168720, 246648, 6648, -302288, -215064, 71112, 125604, 18309, -25356, -8262, 2100, 1042, -60, -54, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 8]}
  • id: 189248
    {'degree': 16, 'field': [9241600, 0, -15270272, 0, 3153280, 0, -992544, 0, 110832, 0, -11400, 0, 700, 0, -44, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [12]}
  • id: 189243
    {'degree': 16, 'field': [19562929, 0, -3308452, 0, -570890, 0, 81824, 0, 33415, 0, -280, 0, -254, 0, -4, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [4, 4]}
  • id: 189246
    {'degree': 16, 'field': [161798400, 0, -56564424, 0, 10119636, 0, -2213592, 0, 361920, 0, -28860, 0, 1132, 0, -38, 0, 1], 'lmfdb_label': '3630.a1', 'torsion': [2, 6]}
• 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: 66752
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '3630.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 66753
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '3630.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 66754
    {'conductor': 3630, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '3630.a1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 66755
    {'conductor': 3630, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3630.a1', 'prime': 11, 'reduction_type': 0, '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: 1687540
    {'adelic_gens': [[1, 8, 0, 1], [7, 6, 258, 259], [168, 41, 91, 78], [257, 8, 256, 9], [1, 0, 8, 1], [184, 3, 181, 2], [160, 261, 67, 262], [107, 100, 146, 237], [1, 4, 4, 17]], 'adelic_image': '264.48.0.?', 'conductor': 3630, 'lmfdb_label': '3630.a1', 'prime': 0}
  • id: 18137
    {'conductor': 3630, 'elladic_image': '8.12.0.11', 'lmfdb_label': '3630.a1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 3630.a does not appear in ec_padic