Elliptic curve data - 62400.cp1

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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': '62400a4', 'Cnumber': 4, 'abc_quality': 0.8851019596995587, 'absD': 219348480000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1560, 'ainvs': [0, -1, 0, -21633, -988863], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 62400, 'degree': 147456, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4684949934764874832256366609', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 67, 'isogeny_degrees': [1, 2, 4], 'jinv': [2186875592, 428415], 'lmfdb_iso': '62400.cp', 'lmfdb_label': '62400.cp1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -216, -924], 'min_quad_twist_disc': 40, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '20.12.0-4.c.1.1', '24.12.0-4.c.1.2', '104.12.0.?', '120.24.0.?', '312.24.0.?', '520.24.0.?', '1560.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 5, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.2103758899818703372715272857', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.20265793844049434084628315754', 'prec': 107}, 'szpiro_ratio': 3.7640040129433765, '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, 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': '0.053025094998530603908333751521', 'prec': 107}, 'conductor': 62400, 'gens': [[-88, 475, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.2103758899818703372715272857', 'prec': 100}], 'lmfdb_label': '62400.cp1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.39903332977077367632716945663', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '5.1241879247811067897649800737671067338', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-113, 0, 1]], 'xcoord_integral_points': [-113, -88, 563]}
• 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.cp1'}
• ec_torsion_growth •

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

  
  
  • id: 2985192
    {'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [2, 2]}
  • id: 2985193
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [4]}
  • id: 2985194
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [4]}
  • id: 2985195
    {'degree': 4, 'field': [81, 0, -12, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [2, 4]}
  • id: 2985199
    {'degree': 8, 'field': [-1875, 0, -14000, 0, -150, 0, 0, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [6]}
  • id: 2985196
    {'degree': 8, 'field': [13561, 1924, -2158, 472, -245, 8, 2, -4, 1], 'lmfdb_label': '62400.cp1', 'torsion': [2, 4]}
  • id: 2985197
    {'degree': 8, 'field': [34225, 0, -7580, 0, 374, 0, 4, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [8]}
  • id: 2985198
    {'degree': 8, 'field': [266256, 0, 25344, 0, 3336, 0, -96, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [8]}
  • id: 2985204
    {'degree': 16, 'field': [7744, 0, 2716288, 0, 957760, 0, 138816, 0, 34320, 0, 7344, 0, 688, 0, 40, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [12]}
  • id: 2985202
    {'degree': 16, 'field': [276246, 1561824, 1390068, -6184872, 3765966, -721056, 79380, 167244, -73841, 14548, 3400, -2828, -14, 196, -8, -8, 1], 'lmfdb_label': '62400.cp1', 'torsion': [2, 8]}
  • id: 2985200
    {'degree': 16, 'field': [1234321, 0, -977748, 0, 294118, 0, -55296, 0, 5655, 0, -216, 0, 178, 0, 12, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [4, 4]}
  • id: 2985201
    {'degree': 16, 'field': [14288400, 0, 1581120, 0, 5037264, 0, 432096, 0, 41164, 0, -4688, 0, -84, 0, 16, 0, 1], 'lmfdb_label': '62400.cp1', 'torsion': [2, 8]}
  • id: 2985205
    {'degree': 16, 'field': [203224561, -354586544, 222050808, -80604360, 27029604, -3907152, -239944, 212072, 69750, -98704, 24584, -4824, 1284, -240, 72, -8, 1], 'lmfdb_label': '62400.cp1', 'torsion': [12]}
  • id: 2985203
    {'degree': 16, 'field': [36424655716, 84111465472, 55647448224, 13453732496, -523110736, -741820080, -93860568, -7763088, -1140012, 572272, 158272, -2280, -1836, 216, -36, -8, 1], 'lmfdb_label': '62400.cp1', '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: 1504129
    {'conductor': 62400, 'conductor_valuation': 6, 'discriminant_valuation': 15, 'j_denominator_valuation': 0, 'kodaira_symbol': -9, 'lmfdb_label': '62400.cp1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 1504130
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '62400.cp1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 1504131
    {'conductor': 62400, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '62400.cp1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 1504132
    {'conductor': 62400, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '62400.cp1', '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: 2077408
    {'adelic_gens': [[1081, 8, 1204, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [1368, 593, 577, 564], [304, 1557, 1555, 1558], [1553, 8, 1552, 9], [7, 6, 1554, 1555], [1048, 3, 1045, 2], [192, 967, 1373, 1386]], 'adelic_image': '1560.48.0.?', 'conductor': 62400, 'lmfdb_label': '62400.cp1', 'prime': 0}
  • id: 262476
    {'conductor': 62400, 'elladic_image': '4.6.0.1', 'lmfdb_label': '62400.cp1', 'modell_image': '2B', '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}