Elliptic curve data - 28800.x2

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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': '28800j', 'Clabel': '28800j1', 'Cnumber': 1, 'abc_quality': 1.2404847183915741, 'absD': 33750000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 24, 'ainvs': [0, 0, 0, -825, -2250], 'analytic_rank': 1, 'bad_primes': [2, 3, 5], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 28800, 'degree': 12288, 'elladic_images': ['8.6.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.71108173443828966702272197200', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 23, 'isogeny_degrees': [1, 2], 'jinv': [1149984, 625], 'lmfdb_iso': '28800.x', 'lmfdb_label': '28800.x2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -1188, -3888], 'min_quad_twist_disc': 120, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.f.1', '12.6.0.b.1', '24.12.0.bl.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.5852860210578976801079082274', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 6, 3200], [5, 18, 1152]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.77262614927242270695318774136', 'prec': 107}, 'szpiro_ratio': 3.0930413942342465, '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, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, 0, -2, 0, -2, 0, 4, 0, 6, -2, -6, -4, -4, 8, 2, -4, 2, -8, 8, 6, 6, 4, 0, 10], 'class_deg': 2, 'class_size': 2, 'conductor': 28800, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '28800.x', 'trace_hash': 2135769076031071134}
• 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': '0.24119164141974267512901807208', 'prec': 103}, 'conductor': 28800, 'gens': [[-15, 225, 2]], 'heights': [{'__RealLiteral__': 0, 'data': '2.5852860210578976801079082274', 'prec': 100}], 'lmfdb_label': '28800.x2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.95020630971449084340230258028', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9131101792517688390736770016066821023', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[30, 0, 1]], 'xcoord_integral_points': [30]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': 'a', '7': [3, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [3, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '28800.x2'}
• ec_torsion_growth •

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

  
  
  • id: 1444092
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '28800.x2', 'torsion': [2, 2]}
  • id: 1444093
    {'degree': 4, 'field': [150, 0, -30, 0, 1], 'lmfdb_label': '28800.x2', 'torsion': [4]}
  • id: 1444096
    {'degree': 8, 'field': [-1200, 0, 960, 0, 360, 0, 0, 0, 1], 'lmfdb_label': '28800.x2', 'torsion': [6]}
  • id: 1444095
    {'degree': 8, 'field': [529, -92, -940, -212, 292, 68, -28, -4, 1], 'lmfdb_label': '28800.x2', 'torsion': [2, 4]}
  • id: 1444094
    {'degree': 8, 'field': [2809, 0, 508, 0, 18, 0, 4, 0, 1], 'lmfdb_label': '28800.x2', 'torsion': [2, 4]}
  • id: 1444097
    {'degree': 16, 'field': [676, 0, -3824, 0, 10520, 0, -14096, 0, 8080, 0, -1768, 0, 188, 0, -16, 0, 1], 'lmfdb_label': '28800.x2', 'torsion': [8]}
  • id: 1444098
    {'degree': 16, 'field': [227470, -444760, 201416, 89712, -11260, -99032, 54304, -7560, -1220, 1320, 940, -1480, 524, -72, 20, -8, 1], 'lmfdb_label': '28800.x2', '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: 669137
    {'conductor': 28800, 'conductor_valuation': 7, 'discriminant_valuation': 7, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '28800.x2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 669138
    {'conductor': 28800, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '28800.x2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 669139
    {'conductor': 28800, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '28800.x2', 'prime': 5, '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: 1856737
    {'adelic_gens': [[1, 2, 2, 5], [21, 4, 20, 5], [2, 1, 11, 0], [3, 4, 8, 11], [20, 1, 7, 0], [4, 1, 17, 18], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '24.12.0.?', 'conductor': 28800, 'lmfdb_label': '28800.x2', 'prime': 0}
  • id: 130374
    {'conductor': 28800, 'elladic_image': '8.6.0.2', 'lmfdb_label': '28800.x2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1387804
    {'lmfdb_iso': '28800.x', 'p': 7, 'prec': 20, 'unit': 66222172449015, 'val': 2}
  • id: 1387808
    {'lmfdb_iso': '28800.x', 'p': 13, 'prec': 20, 'unit': 902816132684084514468, 'val': 1}
  • id: 1387811
    {'lmfdb_iso': '28800.x', 'p': 19, 'prec': 20, 'unit': 884787822910628681140485, 'val': 1}
  • id: 1387807
    {'lmfdb_iso': '28800.x', 'p': 29, 'prec': 20, 'unit': 713671726122047302663836634, 'val': 1}
  • id: 1387817
    {'lmfdb_iso': '28800.x', 'p': 31, 'prec': 20, 'unit': 14452020694725112421537712908, 'val': 1}
  • id: 1387803
    {'lmfdb_iso': '28800.x', 'p': 37, 'prec': 20, 'unit': 260398237859504877472784634308, 'val': 1}
  • id: 1387805
    {'lmfdb_iso': '28800.x', 'p': 41, 'prec': 20, 'unit': 672391467628840295398441424206, 'val': 1}
  • id: 1387806
    {'lmfdb_iso': '28800.x', 'p': 43, 'prec': 20, 'unit': 149960230451831534417760128534, 'val': 1}
  • id: 1387815
    {'lmfdb_iso': '28800.x', 'p': 47, 'prec': 20, 'unit': 58054506468597495497628013323277, 'val': 1}
  • id: 1387812
    {'lmfdb_iso': '28800.x', 'p': 53, 'prec': 20, 'unit': 305707299282999714371901964243824, 'val': 1}
  • id: 1387810
    {'lmfdb_iso': '28800.x', 'p': 59, 'prec': 20, 'unit': 2447807424078843176926800669419823, 'val': 1}
  • id: 1387816
    {'lmfdb_iso': '28800.x', 'p': 61, 'prec': 20, 'unit': 8289049709628195686621802834998243, 'val': 1}
  • id: 1387802
    {'lmfdb_iso': '28800.x', 'p': 67, 'prec': 20, 'unit': 12217693195289670659851391052657087, 'val': 1}
  • id: 1387814
    {'lmfdb_iso': '28800.x', 'p': 71, 'prec': 20, 'unit': 7578666356776424718845419921167913, 'val': 1}
  • id: 1387813
    {'lmfdb_iso': '28800.x', 'p': 73, 'prec': 20, 'unit': 226773371303831975897523601663089247, 'val': 1}
  • id: 1387809
    {'lmfdb_iso': '28800.x', 'p': 79, 'prec': 20, 'unit': 501683611865831995699154214924027395, 'val': 1}
  • id: 1387801
    {'lmfdb_iso': '28800.x', 'p': 83, 'prec': 20, 'unit': 1450869662995116965125940006194515672, 'val': 1}
  • id: 1387800
    {'lmfdb_iso': '28800.x', 'p': 97, 'prec': 20, 'unit': 23720693325064474163436135031213176641, 'val': 1}