Elliptic curve data - 24400.s2

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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': '24400a', 'Clabel': '24400a1', 'Cnumber': 1, 'abc_quality': 0.8544684250432972, 'absD': 381250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 1220, 'ainvs': [0, 0, 0, -550, 4875], 'analytic_rank': 1, 'bad_primes': [2, 5, 61], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 24400, 'degree': 9216, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.43675635864273286943870668823', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [73598976, 1525], 'lmfdb_iso': '24400.s', 'lmfdb_label': '24400.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -22, -39], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '122.6.0.?', '1220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '2.9513658211951434742867291969', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1525], [5, 18, 976], [61, 62, 400]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59901165776096575433408368554', 'prec': 107}, 'szpiro_ratio': 3.0233948442367975, '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, -3, 0, 0, 0, -6, 0, 0, 0, -4, 0, 4, 0], 'aplist': [0, 0, 0, 2, 0, -6, -4, 4, 6, -6, 8, -8, 6, 10, 0, 12, -8, -1, -2, -12, -14, 16, 8, 6, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 24400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '24400.s', 'trace_hash': 1286028610874639484}
• 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': '0.41748247263482998064834665891', 'prec': 103}, 'conductor': 24400, 'gens': [[95, 900, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.9513658211951434742867291969', 'prec': 100}], 'lmfdb_label': '24400.s2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.6917734543312849082990901753', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.9930423503185972389513221166018041218', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[15, 0, 1]], 'xcoord_integral_points': [15, 95]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 3, 0], '5': 'a', '7': [1, 0], '11': [3, 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': [1, 0], '47': [1, 1, 0], '61': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '24400.s2'}
• ec_torsion_growth •

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

  
  
  • id: 1232161
    {'degree': 2, 'field': [-15, -1, 1], 'lmfdb_label': '24400.s2', 'torsion': [2, 2]}
  • id: 1232162
    {'degree': 4, 'field': [61, 0, -17, 0, 1], 'lmfdb_label': '24400.s2', 'torsion': [4]}
  • id: 1232165
    {'degree': 8, 'field': [-75, 0, -180, 0, -30, 0, 0, 0, 1], 'lmfdb_label': '24400.s2', 'torsion': [6]}
  • id: 1232164
    {'degree': 8, 'field': [-20, 140, -34, -190, 41, 62, -16, -4, 1], 'lmfdb_label': '24400.s2', 'torsion': [2, 4]}
  • id: 1232163
    {'degree': 8, 'field': [114095, -54380, 58619, -8374, 3928, 308, -98, -4, 1], 'lmfdb_label': '24400.s2', 'torsion': [2, 4]}
  • id: 1232166
    {'degree': 16, 'field': [1, 0, -70, 0, 601, 0, -2380, 0, 4326, 0, -3110, 0, 516, 0, -40, 0, 1], 'lmfdb_label': '24400.s2', 'torsion': [8]}
  • id: 1232167
    {'degree': 16, 'field': [1507837425, 1714738200, -1327681380, -726859560, 249002130, 127123320, -25958940, -12954720, 1887511, 834112, -101852, -33296, 3790, 784, -92, -8, 1], 'lmfdb_label': '24400.s2', '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: 559866
    {'conductor': 24400, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '24400.s2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 559867
    {'conductor': 24400, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '24400.s2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 559868
    {'conductor': 24400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '24400.s2', 'prime': 61, '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: 1827087
    {'adelic_gens': [[1102, 1, 59, 0], [1, 2, 2, 5], [917, 306, 304, 915], [1, 4, 0, 1], [1217, 4, 1216, 5], [1, 0, 4, 1], [3, 4, 8, 11], [977, 4, 734, 9]], 'adelic_image': '1220.12.0.?', 'conductor': 24400, 'lmfdb_label': '24400.s2', 'prime': 0}
  • id: 111728
    {'conductor': 24400, 'elladic_image': '2.3.0.1', 'lmfdb_label': '24400.s2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1158353
    {'lmfdb_iso': '24400.s', 'p': 7, 'prec': 20, 'unit': 9497206087091635, 'val': 1}
  • id: 1158356
    {'lmfdb_iso': '24400.s', 'p': 13, 'prec': 20, 'unit': 1150983979681046150271, 'val': 1}
  • id: 1158358
    {'lmfdb_iso': '24400.s', 'p': 17, 'prec': 20, 'unit': 165904903274883178792431, 'val': 1}
  • id: 1158349
    {'lmfdb_iso': '24400.s', 'p': 19, 'prec': 20, 'unit': 400717362049762442658166, 'val': 1}
  • id: 1158362
    {'lmfdb_iso': '24400.s', 'p': 23, 'prec': 20, 'unit': 70532543833795843589127684, 'val': 1}
  • id: 1158366
    {'lmfdb_iso': '24400.s', 'p': 29, 'prec': 20, 'unit': 2970464146684327296274656568, 'val': 1}
  • id: 1158367
    {'lmfdb_iso': '24400.s', 'p': 31, 'prec': 20, 'unit': 15063479671652596408122006226, 'val': 1}
  • id: 1158352
    {'lmfdb_iso': '24400.s', 'p': 37, 'prec': 20, 'unit': 184717653426732305972879110121, 'val': 1}
  • id: 1158354
    {'lmfdb_iso': '24400.s', 'p': 41, 'prec': 20, 'unit': 2042584691833371040448287160048, 'val': 1}
  • id: 1158355
    {'lmfdb_iso': '24400.s', 'p': 43, 'prec': 20, 'unit': 5501782295179180216423444677609, 'val': 1}
  • id: 1158360
    {'lmfdb_iso': '24400.s', 'p': 53, 'prec': 20, 'unit': 82374050380762478283386909867059, 'val': 1}
  • id: 1158365
    {'lmfdb_iso': '24400.s', 'p': 59, 'prec': 20, 'unit': 30379580369137318864327551842109, 'val': 2}
  • id: 1158351
    {'lmfdb_iso': '24400.s', 'p': 67, 'prec': 20, 'unit': 48786005920376304203114921221761726, 'val': 1}
  • id: 1158364
    {'lmfdb_iso': '24400.s', 'p': 71, 'prec': 20, 'unit': 114089723804080663474526670849982484, 'val': 1}
  • id: 1158361
    {'lmfdb_iso': '24400.s', 'p': 73, 'prec': 20, 'unit': 188215598845558072472649638438942001, 'val': 1}
  • id: 1158357
    {'lmfdb_iso': '24400.s', 'p': 79, 'prec': 20, 'unit': 901588207953096326009143888887763787, 'val': 1}
  • id: 1158359
    {'lmfdb_iso': '24400.s', 'p': 83, 'prec': 20, 'unit': 2660841672410292236119649605300987548, 'val': 1}
  • id: 1158363
    {'lmfdb_iso': '24400.s', 'p': 89, 'prec': 20, 'unit': 7137744867518766508250387283962921066, 'val': 1}
  • id: 1158350
    {'lmfdb_iso': '24400.s', 'p': 97, 'prec': 20, 'unit': 42016827581827891394658048084017226122, 'val': 1}