Elliptic curve data - 29120.z4

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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': '29120a', 'Clabel': '29120a3', 'Cnumber': 3, 'abc_quality': 0.9400617403938522, 'absD': 229292277760000, 'adelic_genus': 3, 'adelic_index': 192, 'adelic_level': 7280, 'ainvs': [0, 0, 0, 11092, 573232], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 29120, 'degree': 65536, 'elladic_images': ['8.24.0.69'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4408494527483855314145088375', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 25, 'isogeny_degrees': [1, 2, 4], 'jinv': [575722725759, 874680625], 'lmfdb_iso': '29120.z', 'lmfdb_label': '29120.z4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, 173, 1076], 'min_quad_twist_disc': 8, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.d.1', '8.24.0-4.d.1.1', '28.24.0-4.d.1.2', '56.48.0-56.x.1.3', '520.48.0.?', '1040.96.0.?', '3640.96.1.?', '7280.192.3.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 7, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.2584481583354583883252841080', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1], [5, 6, 5824], [7, 8, 4160], [13, 14, 2240]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.40112868190846756728866065531', 'prec': 103}, 'szpiro_ratio': 3.8953725084636996, '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, -1, 0, -1, 0, -3, 0, 0, 0, -1, 0, 0, 0, -6, 0, 0, 0], 'aplist': [0, 0, -1, -1, 0, -1, -6, 0, -4, 2, -4, 10, 2, 8, 0, 2, 0, 2, 4, 12, -6, 8, -4, 2, -14], 'class_deg': 4, 'class_size': 4, 'conductor': 29120, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '29120.z', 'trace_hash': 2150297467323606654}
• 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': '0.056039476141456521887025035334', 'prec': 107}, 'conductor': 29120, 'gens': [[6, 800, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2584481583354583883252841080', 'prec': 100}], 'lmfdb_label': '29120.z4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.37949676281402848464294836988', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.8206160180606593238936501518799196254', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[-44, 0, 1]], 'xcoord_integral_points': [-44, 6, 37, 294]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [3, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '29120.z4'}
• ec_torsion_growth •

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

  
  
  • id: 1459184
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [4]}
  • id: 1459183
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [2, 2]}
  • id: 1459185
    {'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [4]}
  • id: 1459186
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [2, 4]}
  • id: 1459190
    {'degree': 8, 'field': [-48, 0, -456, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [6]}
  • id: 1459187
    {'degree': 8, 'field': [16, 0, 0, 0, 1, 0, 0, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [4, 4]}
  • id: 1459188
    {'degree': 8, 'field': [196, 0, 10, 0, -3, 0, -10, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [8]}
  • id: 1459189
    {'degree': 8, 'field': [9811, -15730, 10197, -2958, 94, 162, -31, -2, 1], 'lmfdb_label': '29120.z4', 'torsion': [8]}
  • id: 1459193
    {'degree': 16, 'field': [9, 0, 0, 0, 3213, 0, 0, 0, 30, 0, 0, 0, 12, 0, 0, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [2, 6]}
  • id: 1459192
    {'degree': 16, 'field': [196, -1400, 4532, -9968, 19922, -35448, 46158, -40572, 26077, -13952, 6482, -2492, 840, -224, 52, -8, 1], 'lmfdb_label': '29120.z4', 'torsion': [2, 8]}
  • id: 1459194
    {'degree': 16, 'field': [15625, 0, -42958, 0, 18925, 0, 1964, 0, -998, 0, -610, 0, 100, 0, -16, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [12]}
  • id: 1459195
    {'degree': 16, 'field': [15625, 0, 42958, 0, 18925, 0, -1964, 0, -998, 0, 610, 0, 100, 0, 16, 0, 1], 'lmfdb_label': '29120.z4', 'torsion': [12]}
  • id: 1459191
    {'degree': 16, 'field': [13845841, 0, 0, 0, 1132297, 0, 0, 0, 9168, 0, 0, 0, 857, 0, 0, 0, 1], 'lmfdb_label': '29120.z4', '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: 676966
    {'conductor': 29120, 'conductor_valuation': 6, 'discriminant_valuation': 18, 'j_denominator_valuation': 0, 'kodaira_symbol': -12, 'lmfdb_label': '29120.z4', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 676967
    {'conductor': 29120, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '29120.z4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 676968
    {'conductor': 29120, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29120.z4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 676969
    {'conductor': 29120, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '29120.z4', 'prime': 13, '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: 1858896
    {'adelic_gens': [[1, 16, 0, 1], [4175, 166, 474, 4067], [4096, 3201, 3185, 4096], [7269, 6354, 2530, 3349], [1, 12, 4, 49], [1, 0, 16, 1], [5, 16, 64, 205], [1457, 16, 5828, 65], [561, 16, 2244, 65], [7265, 16, 7264, 17]], 'adelic_image': '7280.192.3.?', 'conductor': 29120, 'lmfdb_label': '29120.z4', 'prime': 0}
  • id: 131682
    {'conductor': 29120, 'elladic_image': '8.24.0.69', 'lmfdb_label': '29120.z4', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1404871
    {'lmfdb_iso': '29120.z', 'p': 17, 'prec': 20, 'unit': 105422848089764041863145, 'val': 1}
  • id: 1404875
    {'lmfdb_iso': '29120.z', 'p': 23, 'prec': 20, 'unit': 37255529813795345618091966, 'val': 1}
  • id: 1404869
    {'lmfdb_iso': '29120.z', 'p': 29, 'prec': 20, 'unit': 5216400059282207281931007600, 'val': 1}
  • id: 1404878
    {'lmfdb_iso': '29120.z', 'p': 31, 'prec': 20, 'unit': 13367758597912740962871143249, 'val': 1}
  • id: 1404865
    {'lmfdb_iso': '29120.z', 'p': 37, 'prec': 20, 'unit': 532014824050692968826388681310, 'val': 1}
  • id: 1404867
    {'lmfdb_iso': '29120.z', 'p': 41, 'prec': 20, 'unit': 741302633637669643899315468106, 'val': 1}
  • id: 1404868
    {'lmfdb_iso': '29120.z', 'p': 43, 'prec': 20, 'unit': 6196287479236452761876400473237, 'val': 1}
  • id: 1404873
    {'lmfdb_iso': '29120.z', 'p': 53, 'prec': 20, 'unit': 514107810479848909236056069320543, 'val': 1}
  • id: 1404877
    {'lmfdb_iso': '29120.z', 'p': 61, 'prec': 20, 'unit': 7441369885414705081899805202725727, 'val': 1}
  • id: 1404864
    {'lmfdb_iso': '29120.z', 'p': 67, 'prec': 20, 'unit': 18009319343540438184428667853018365, 'val': 1}
  • id: 1404866
    {'lmfdb_iso': '29120.z', 'p': 71, 'prec': 20, 'unit': 93850046681566146232869193555795471, 'val': 1}
  • id: 1404874
    {'lmfdb_iso': '29120.z', 'p': 73, 'prec': 20, 'unit': 223333082503237787399854654079143382, 'val': 1}
  • id: 1404870
    {'lmfdb_iso': '29120.z', 'p': 79, 'prec': 20, 'unit': 277237599096569760600251788647729947, 'val': 1}
  • id: 1404872
    {'lmfdb_iso': '29120.z', 'p': 83, 'prec': 20, 'unit': 628806510718763972801587151960180853, 'val': 1}
  • id: 1404876
    {'lmfdb_iso': '29120.z', 'p': 89, 'prec': 20, 'unit': 2092770229170078932143640944567377009, 'val': 1}
  • id: 1404863
    {'lmfdb_iso': '29120.z', 'p': 97, 'prec': 20, 'unit': 7050080032628189604416668879778334321, 'val': 1}