Elliptic curve data - 62400.cp2

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '62400a', 'Clabel': '62400a2', 'Cnumber': 2, 'abc_quality': 0.8613315992780841, 'absD': 2433600000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -6633, 196137], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 73728, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1219214031965148285170206001', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2], 'jinv': [504358336, 38025], 'lmfdb_iso': '62400.cp', 'lmfdb_label': '62400.cp2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -66, 216], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '20.12.0-2.a.1.1', '24.12.0-2.a.1.1', '104.12.0.?', '120.24.0.?', '156.12.0.?', '312.24.0.?', '520.24.0.?', '780.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6051879449909351686357636428', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.37594473358048066820059118797', 'prec': 107}, 'szpiro_ratio': 3.4428120270319456, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, 0, 0, 1, 0, 0, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, -1, 0, 0, 0, -1, -2, 4, -4, 6, 8, -6, -2, 4, 0, 6, 0, 2, 8, 0, -6, -4, -12, 6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 62400, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '62400.cp', 'trace_hash': 260905969579640731}
• 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': '0.10605018999706120781666750304', 'prec': 103}, 'conductor': 62400, 'gens': [[63, 156, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6051879449909351686357636428', 'prec': 100}], 'lmfdb_label': '62400.cp2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.79806665954154735265433891326', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1241879247811067897649800737671067338', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[37, 0, 1], [57, 0, 1]], 'xcoord_integral_points': [-93, -63, 32, 37, 57, 63, 557]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [1, 0], '5': 'a', '7': [3, 1, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [3, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '62400.cp2'}
• ec_torsion_growth •

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

  
  
  • id: 2985171
    {'degree': 4, 'field': [19, 14, -13, -2, 1], 'lmfdb_label': '62400.cp2', 'torsion': [2, 4]}
  • id: 2985170
    {'degree': 4, 'field': [441, 0, 62, 0, 1], 'lmfdb_label': '62400.cp2', 'torsion': [2, 4]}
  • id: 2985172
    {'degree': 4, 'field': [961, 0, 68, 0, 1], 'lmfdb_label': '62400.cp2', 'torsion': [2, 4]}
  • id: 2985173
    {'degree': 8, 'field': [-1875, 0, -14000, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '62400.cp2', 'torsion': [2, 6]}
  • id: 2985176
    {'degree': 16, 'field': [14161, 59024, 25308, -110792, -73254, 109704, 37120, -61136, 11619, 4328, -2960, 1392, -414, 56, 12, -8, 1], 'lmfdb_label': '62400.cp2', 'torsion': [2, 8]}
  • id: 2985174
    {'degree': 16, 'field': [65025, -137700, 55890, 31440, 31696, -2800, -15298, 8040, -51, -80, 386, -80, 44, -20, 12, 0, 1], 'lmfdb_label': '62400.cp2', 'torsion': [4, 4]}
  • id: 2985175
    {'degree': 16, 'field': [15178816, 0, 7799552, 0, 487936, 0, -331008, 0, -49296, 0, 2592, 0, 736, 0, 32, 0, 1], 'lmfdb_label': '62400.cp2', 'torsion': [2, 8]}
  • id: 2985177
    {'degree': 16, 'field': [1587305281, 0, 592903960, 0, 77441716, 0, 4240600, 0, -110234, 0, -18200, 0, 2356, 0, 40, 0, 1], 'lmfdb_label': '62400.cp2', '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: 1504121
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 12, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '62400.cp2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1504122
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62400.cp2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504123
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '62400.cp2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1504124
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '62400.cp2', '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: 2077409
    {'adelic_gens': [[1, 0, 4, 1], [1, 4, 0, 1], [521, 2, 0, 1], [1081, 4, 602, 9], [623, 1558, 0, 1559], [387, 1558, 782, 1], [777, 1558, 2, 1], [1557, 4, 1556, 5]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.cp2', 'prime': 0}
  • id: 262477
    {'conductor': 62400, 'elladic_image': '2.6.0.1', 'lmfdb_label': '62400.cp2', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 3173424
    {'lmfdb_iso': '62400.cp', 'p': 17, 'prec': 20, 'unit': 78536812125370060575485, 'val': 1}
  • id: 3173416
    {'lmfdb_iso': '62400.cp', 'p': 19, 'prec': 20, 'unit': 82969925636966269763796, 'val': 1}
  • id: 3173428
    {'lmfdb_iso': '62400.cp', 'p': 23, 'prec': 20, 'unit': 58363795227109679711452053, 'val': 1}
  • id: 3173422
    {'lmfdb_iso': '62400.cp', 'p': 29, 'prec': 20, 'unit': 5550212439076032626343840518, 'val': 1}
  • id: 3173431
    {'lmfdb_iso': '62400.cp', 'p': 31, 'prec': 20, 'unit': 6317217136449835664002319132, 'val': 1}
  • id: 3173419
    {'lmfdb_iso': '62400.cp', 'p': 37, 'prec': 20, 'unit': 4620939229892822591662923911, 'val': 1}
  • id: 3173420
    {'lmfdb_iso': '62400.cp', 'p': 41, 'prec': 20, 'unit': 1282071634289963917682694887666, 'val': 1}
  • id: 3173421
    {'lmfdb_iso': '62400.cp', 'p': 43, 'prec': 20, 'unit': 203115324389149326120535474680, 'val': 2}
  • id: 3173426
    {'lmfdb_iso': '62400.cp', 'p': 53, 'prec': 20, 'unit': 139715122277542825322012423182257, 'val': 1}
  • id: 3173430
    {'lmfdb_iso': '62400.cp', 'p': 61, 'prec': 20, 'unit': 2205362282488004230182476543054601, 'val': 1}
  • id: 3173418
    {'lmfdb_iso': '62400.cp', 'p': 67, 'prec': 20, 'unit': 36115269318759900530105872854481787, 'val': 1}
  • id: 3173427
    {'lmfdb_iso': '62400.cp', 'p': 73, 'prec': 20, 'unit': 132602304492879210442941824021175095, 'val': 1}
  • id: 3173423
    {'lmfdb_iso': '62400.cp', 'p': 79, 'prec': 20, 'unit': 575291057921400201472856493853483408, 'val': 1}
  • id: 3173425
    {'lmfdb_iso': '62400.cp', 'p': 83, 'prec': 20, 'unit': 1425792650733257666848100217639897617, 'val': 1}
  • id: 3173429
    {'lmfdb_iso': '62400.cp', 'p': 89, 'prec': 20, 'unit': 4342077539767968976260652808295474459, 'val': 1}
  • id: 3173417
    {'lmfdb_iso': '62400.cp', 'p': 97, 'prec': 20, 'unit': 44203274237439431164366203094551322489, 'val': 1}