Elliptic curve data - 25230.k2

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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': '25230l', 'Clabel': '25230l2', 'Cnumber': 2, 'abc_quality': 1.0710120626273636, 'absD': 1875924048603750000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3480, 'ainvs': [1, 0, 1, 134542, 2083771268], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 29], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 25230, 'degree': 1881600, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.7608664625592758984539327942', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 10, 'isogeny_degrees': [1, 2], 'jinv': [452807907839, 3153750000000], 'lmfdb_iso': '25230.k', 'lmfdb_label': '25230.k2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 160, 85505], 'min_quad_twist_disc': 29, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '24.6.0.b.1', '580.6.0.?', '3480.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.7563918811529202624247097455', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.0772185475660388848622967780', 'prec': 100}, 'szpiro_ratio': 5.568192564190294, '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, -1, 1, 1, 1, -1, -4, -1, 1, -1, 4, 1, -4, 4, 1, 1, 2, -1, -2, 1], 'aplist': [-1, 1, 1, -4, 4, -4, 2, -2, -6, 0, 0, 2, 0, 0, 0, 10, -12, 0, -10, 16, 10, 16, -4, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 25230, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '25230.k', 'trace_hash': 270413501040584351}
• 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': '0.0039989121189372575840470002062', 'prec': 110}, 'conductor': 25230, 'gens': [[164, 45855, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.7563918811529202624247097455', 'prec': 100}], 'lmfdb_label': '25230.k2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.11670647392186925270066612777', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.3839525111809467380711435612381619141', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-4969, 4965, 2]], 'xcoord_integral_points': [164]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [6, 1], '3': [2, 0], '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [3, 0], '29': 'a', '31': [1, 1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '25230.k2'}
• ec_torsion_growth •

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

  
  
  • id: 1270915
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [2, 2]}
  • id: 1270916
    {'degree': 4, 'field': [-24, 0, 22, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [4]}
  • id: 1270919
    {'degree': 8, 'field': [-2523, 0, -1972, 0, 174, 0, 0, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [6]}
  • id: 1270918
    {'degree': 8, 'field': [14400, 0, 5760, 0, 916, 0, 68, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [2, 4]}
  • id: 1270917
    {'degree': 8, 'field': [4359744, 0, 200448, 0, -120, 0, -48, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [2, 4]}
  • id: 1270921
    {'degree': 16, 'field': [284563161, 0, 99985032, 0, -25570484, 0, 1206624, 0, 210606, 0, 3976, 0, 1356, 0, 48, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [2, 6]}
  • id: 1270920
    {'degree': 16, 'field': [22741846416, 0, -7294205520, 0, 723642156, 0, -74143440, 0, 3971886, 0, -95760, 0, -3029, 0, 70, 0, 1], 'lmfdb_label': '25230.k2', 'torsion': [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: 579983
    {'conductor': 25230, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '25230.k2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 579984
    {'conductor': 25230, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '25230.k2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 579985
    {'conductor': 25230, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '25230.k2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
  • id: 579986
    {'conductor': 25230, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '25230.k2', 'prime': 29, '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: 1832525
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [2177, 1306, 1304, 2175], [1162, 1, 1159, 0], [3477, 4, 3476, 5], [697, 4, 1394, 9], [1, 0, 4, 1], [3, 4, 8, 11], [2641, 4, 1802, 9], [2, 1, 1739, 0]], 'adelic_image': '3480.12.0.?', 'conductor': 25230, 'lmfdb_label': '25230.k2', 'prime': 0}
  • id: 115104
    {'conductor': 25230, 'elladic_image': '2.3.0.1', 'lmfdb_label': '25230.k2', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1200999
    {'lmfdb_iso': '25230.k', 'p': 7, 'prec': 20, 'unit': 156441284107552, 'val': 1}
  • id: 1201001
    {'lmfdb_iso': '25230.k', 'p': 11, 'prec': 20, 'unit': 21907451257493862285, 'val': 1}
  • id: 1201002
    {'lmfdb_iso': '25230.k', 'p': 13, 'prec': 20, 'unit': 731845370003546029613, 'val': 1}
  • id: 1201004
    {'lmfdb_iso': '25230.k', 'p': 17, 'prec': 20, 'unit': 77134101092247401606974, 'val': 1}
  • id: 1200995
    {'lmfdb_iso': '25230.k', 'p': 19, 'prec': 20, 'unit': 399096779764006447778692, 'val': 1}
  • id: 1201007
    {'lmfdb_iso': '25230.k', 'p': 23, 'prec': 20, 'unit': 46941885344954727874625, 'val': 3}
  • id: 1200998
    {'lmfdb_iso': '25230.k', 'p': 37, 'prec': 20, 'unit': 527253508089675534579591754937, 'val': 1}
  • id: 1201006
    {'lmfdb_iso': '25230.k', 'p': 53, 'prec': 20, 'unit': 3099390082294603061584368112037, 'val': 2}
  • id: 1201009
    {'lmfdb_iso': '25230.k', 'p': 59, 'prec': 20, 'unit': 1242794559326918678762414469076680, 'val': 1}
  • id: 1200997
    {'lmfdb_iso': '25230.k', 'p': 67, 'prec': 20, 'unit': 48491836561726523911340333362678008, 'val': 1}
  • id: 1201008
    {'lmfdb_iso': '25230.k', 'p': 71, 'prec': 20, 'unit': 7853174828987093777361250375619078, 'val': 1}
  • id: 1201000
    {'lmfdb_iso': '25230.k', 'p': 73, 'prec': 20, 'unit': 226530757824216119248900699758634081, 'val': 1}
  • id: 1201003
    {'lmfdb_iso': '25230.k', 'p': 79, 'prec': 20, 'unit': 309369555406544218522915870803234954, 'val': 1}
  • id: 1201005
    {'lmfdb_iso': '25230.k', 'p': 83, 'prec': 20, 'unit': 414701176901269335263910369466180191, 'val': 1}
  • id: 1200996
    {'lmfdb_iso': '25230.k', 'p': 97, 'prec': 20, 'unit': 33867912498299172743021003622151439131, 'val': 1}