Elliptic curve data - 12600.e1

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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': '12600bw', 'Clabel': '12600bw5', 'Cnumber': 5, 'abc_quality': 1.0076049224324828, 'absD': 5166787500000000000, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [0, 0, 0, -5490075, 4950049750], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 12600, 'degree': 393216, 'elladic_images': ['8.24.0.88'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5717742892286147912355292469', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [784478485879202, 221484375], 'lmfdb_iso': '12600.e', 'lmfdb_label': '12600.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -24400, -1458548], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.24.0.bb.1', '48.48.0-8.bb.1.8', '56.48.0.bj.1', '60.12.0-4.c.1.1', '80.48.0.?', '120.48.0.?', '240.96.0.?', '336.96.0.?', '560.96.1.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '9.1172446822357132848975511283', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 1575], [3, 8, 1400], [5, 18, 504], [7, 8, 1800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.58236427316422655793839751716', 'prec': 103}, 'szpiro_ratio': 6.161018441221226, '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, 0, 0, -1, 0, 0, 0, -4, 0, 2, 0, 0, 0, -6, 0, 4, 0], 'aplist': [0, 0, 0, -1, -4, 2, -6, 4, 8, 2, 0, 2, -10, -4, 0, 14, -12, -2, 4, 0, -2, -8, -4, 6, 6], 'class_deg': 8, 'class_size': 6, 'conductor': 12600, 'isogeny_matrix': [[1, 2, 4, 8, 8, 4], [2, 1, 2, 4, 4, 2], [4, 2, 1, 2, 2, 4], [8, 4, 2, 1, 4, 8], [8, 4, 2, 4, 1, 8], [4, 2, 4, 8, 8, 1]], 'lmfdb_iso': '12600.e', 'trace_hash': 1783341877488187045}
• 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': '0.0058369400794356543321806692574', 'prec': 110}, 'conductor': 12600, 'gens': [[28889, 4678587, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '9.1172446822357132848975511283', 'prec': 100}], 'lmfdb_label': '12600.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.23671887201644929945797607637', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3164477541536175498521962435914819535', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[1370, 0, 1]], 'xcoord_integral_points': [1370]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '12600.e1'}
• ec_torsion_growth •

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

  
  
  • id: 650356
    {'degree': 2, 'field': [-210, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [4]}
  • id: 650355
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [8]}
  • id: 650354
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [2, 2]}
  • id: 650357
    {'degree': 4, 'field': [1, 0, -58, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [2, 8]}
  • id: 650361
    {'degree': 8, 'field': [-14700, 0, -1140, 0, 180, 0, 20, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [6]}
  • id: 650360
    {'degree': 8, 'field': [196, 0, 84, 0, 22, 0, 6, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [16]}
  • id: 650359
    {'degree': 8, 'field': [690, 360, -236, -264, 173, -52, 22, -4, 1], 'lmfdb_label': '12600.e1', 'torsion': [8]}
  • id: 650358
    {'degree': 8, 'field': [2440, -2720, 2704, 16, 33, -52, 22, -4, 1], 'lmfdb_label': '12600.e1', 'torsion': [2, 4]}
  • id: 650366
    {'degree': 16, 'field': [-33301179, 27446364, 29477610, -30950370, -1395972, 8838606, -3495240, 882120, -333980, 105164, -6764, -5558, 1460, -50, -14, -4, 1], 'lmfdb_label': '12600.e1', 'torsion': [24]}
  • id: 650363
    {'degree': 16, 'field': [-16695839, 55691280, -11465476, -75782728, 8013740, 30965256, -2580340, -5843088, 509797, 573432, -55832, -29960, 3234, 784, -92, -8, 1], 'lmfdb_label': '12600.e1', 'torsion': [2, 16]}
  • id: 650364
    {'degree': 16, 'field': [234256, 0, 360096, 0, 596128, 0, -53856, 0, 16188, 0, -432, 0, 232, 0, -12, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [2, 16]}
  • id: 650362
    {'degree': 16, 'field': [476100, 0, 455280, 0, 484516, 0, 83552, 0, -3651, 0, -2324, 0, 414, 0, -28, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [4, 8]}
  • id: 650365
    {'degree': 16, 'field': [295805601, 0, -69058934, 0, 7259644, 0, -1963626, 0, 170030, 0, 854, 0, 84, 0, -14, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [2, 6]}
  • id: 650367
    {'degree': 16, 'field': [39421308304, 0, -1808059232, 0, -1477905680, 0, 168662336, 0, 992840, 0, -361096, 0, -6632, 0, 40, 0, 1], 'lmfdb_label': '12600.e1', 'torsion': [12]}
• 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: 273030
    {'conductor': 12600, 'conductor_valuation': 3, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '12600.e1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 273031
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '12600.e1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 273032
    {'conductor': 12600, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '12600.e1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 273033
    {'conductor': 12600, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '12600.e1', 'prime': 7, '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: 1747585
    {'adelic_gens': [[5, 4, 1676, 1677], [808, 561, 1119, 10], [559, 0, 0, 1679], [1, 16, 0, 1], [1665, 16, 1664, 17], [15, 2, 1582, 1667], [1486, 1545, 165, 826], [436, 981, 999, 850], [1, 0, 16, 1], [1343, 1104, 1224, 431]], 'adelic_image': '1680.192.1.?', 'conductor': 12600, 'lmfdb_label': '12600.e1', 'prime': 0}
  • id: 59968
    {'conductor': 12600, 'elladic_image': '8.24.0.88', 'lmfdb_label': '12600.e1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 552129
    {'lmfdb_iso': '12600.e', 'p': 11, 'prec': 20, 'unit': 36155368255705207845, 'val': 1}
  • id: 552127
    {'lmfdb_iso': '12600.e', 'p': 13, 'prec': 20, 'unit': 14275038548545524064, 'val': 1}
  • id: 552130
    {'lmfdb_iso': '12600.e', 'p': 17, 'prec': 20, 'unit': 128987468673567972499325, 'val': 1}
  • id: 552131
    {'lmfdb_iso': '12600.e', 'p': 19, 'prec': 20, 'unit': 105856373970363820173150, 'val': 1}
  • id: 552134
    {'lmfdb_iso': '12600.e', 'p': 23, 'prec': 20, 'unit': 71805845781565640786105836, 'val': 1}
  • id: 552126
    {'lmfdb_iso': '12600.e', 'p': 29, 'prec': 20, 'unit': 1010125551224665996541268773, 'val': 1}
  • id: 552123
    {'lmfdb_iso': '12600.e', 'p': 37, 'prec': 20, 'unit': 277776717917887887029943272985, 'val': 1}
  • id: 552124
    {'lmfdb_iso': '12600.e', 'p': 41, 'prec': 20, 'unit': 410706808244512693995222701977, 'val': 1}
  • id: 552125
    {'lmfdb_iso': '12600.e', 'p': 43, 'prec': 20, 'unit': 10130023224446563027343479292929, 'val': 1}
  • id: 552132
    {'lmfdb_iso': '12600.e', 'p': 53, 'prec': 20, 'unit': 184628134695803821278509625808096, 'val': 1}
  • id: 552136
    {'lmfdb_iso': '12600.e', 'p': 59, 'prec': 20, 'unit': 3414241188082353726281401387579288, 'val': 1}
  • id: 552137
    {'lmfdb_iso': '12600.e', 'p': 61, 'prec': 20, 'unit': 4953442323208219338468549535398000, 'val': 1}
  • id: 552122
    {'lmfdb_iso': '12600.e', 'p': 67, 'prec': 20, 'unit': 43671111529122772143676348229293572, 'val': 1}
  • id: 552133
    {'lmfdb_iso': '12600.e', 'p': 73, 'prec': 20, 'unit': 51915122963008602785756375426583774, 'val': 1}
  • id: 552128
    {'lmfdb_iso': '12600.e', 'p': 79, 'prec': 20, 'unit': 318750699686493344280540323349727257, 'val': 1}
  • id: 552121
    {'lmfdb_iso': '12600.e', 'p': 83, 'prec': 20, 'unit': 1500983894885640910586618195419393130, 'val': 1}
  • id: 552135
    {'lmfdb_iso': '12600.e', 'p': 89, 'prec': 20, 'unit': 262721537634353637145162340717424656, 'val': 1}
  • id: 552120
    {'lmfdb_iso': '12600.e', 'p': 97, 'prec': 20, 'unit': 52103155003491322452759468912666573040, 'val': 1}