Elliptic curve data - 230384.bl1

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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': '230384bl', 'Clabel': '230384bl2', 'Cnumber': 2, 'abc_quality': 0.8978116586804944, 'absD': 205513321029632, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 952, 'ainvs': [0, 0, 0, -15851, 338074], 'analytic_rank': 2, 'bad_primes': [2, 7, 11, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 230384, 'degree': 537600, 'elladic_images': ['8.6.0.6'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.4408166602585227424327449878', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 37, 'isogeny_degrees': [1, 2], 'jinv': [60698457, 28322], 'lmfdb_iso': '230384.bl', 'lmfdb_label': '230384.bl1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -8, 6], 'min_quad_twist_disc': 44, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.b.1', '476.6.0.?', '952.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 15, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '2.8233354828184158967703845755', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 121], [7, 8, 32912], [11, 62, 1904], [17, 18, 13552]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.45127815670060783901545892264', 'prec': 107}, 'szpiro_ratio': 3.2902658477314652, '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, -2, 0, -1, 0, -3, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0], 'aplist': [0, 0, -2, -1, 0, 0, 1, -2, 8, 0, -8, -4, 6, 4, -8, -6, -10, -10, -8, -4, 10, -4, -6, -6, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 230384, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '230384.bl', 'trace_hash': 794448484204033696}
• 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': '0.056043151609889535185143990059', 'prec': 107}, 'conductor': 230384, 'gens': [[-99, 968, 1], [-131, 408, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2431887407442221981291696385', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.3017808681073408259304203246', 'prec': 100}], 'lmfdb_label': '230384.bl1', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.50363621172083954381346591326', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '11.375471895869555557910416548836756097', 'prec': 130}, 'tamagawa_product': 32, 'torsion_generators': [[22, 0, 1]], 'xcoord_integral_points': [-131, -99, -6, 15, 22, 141, 247, 2079]}
• lmfdb_label 230384.bl1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9988907
    {'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '230384.bl1', 'torsion': [2, 2]}
  • id: 9988908
    {'degree': 4, 'field': [400, -167, 7, -1, 1], 'lmfdb_label': '230384.bl1', 'torsion': [4]}
  • id: 9988911
    {'degree': 8, 'field': [-68052, 82404, -35094, 4800, 1068, -90, -48, 0, 1], 'lmfdb_label': '230384.bl1', 'torsion': [6]}
  • id: 9988909
    {'degree': 8, 'field': [3969, 0, 108, 0, -56, 0, -36, 0, 1], 'lmfdb_label': '230384.bl1', 'torsion': [2, 4]}
  • id: 9988910
    {'degree': 8, 'field': [117602, -129756, 42817, -4442, 1173, -336, 7, -2, 1], 'lmfdb_label': '230384.bl1', 'torsion': [2, 4]}
  • id: 9988912
    {'degree': 16, 'field': [207360000, 0, 132566400, 0, 20077232, 0, -8766548, 0, 1321684, 0, -85260, 0, 2408, 0, 43, 0, 1], 'lmfdb_label': '230384.bl1', 'torsion': [8]}
  • id: 9988913
    {'degree': 16, 'field': [1248915424, -6397745856, 6178837616, -4044381648, 1796675908, -323784480, -43009120, 16261176, 2216776, -436632, -187624, 18960, 5512, -180, -112, 0, 1], 'lmfdb_label': '230384.bl1', '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: 5712975
    {'conductor': 230384, 'conductor_valuation': 4, 'discriminant_valuation': 13, 'j_denominator_valuation': 1, 'kodaira_symbol': -9, 'lmfdb_label': '230384.bl1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5712976
    {'conductor': 230384, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '230384.bl1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5712977
    {'conductor': 230384, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '230384.bl1', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5712978
    {'conductor': 230384, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '230384.bl1', 'prime': 17, '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: 3132370
    {'adelic_gens': [[409, 4, 818, 9], [1, 2, 2, 5], [121, 834, 832, 119], [1, 4, 0, 1], [1, 0, 4, 1], [3, 4, 8, 11], [949, 4, 948, 5], [785, 4, 618, 9], [2, 1, 475, 0]], 'adelic_image': '952.12.0.?', 'conductor': 230384, 'lmfdb_label': '230384.bl1', 'prime': 0}
  • id: 839877
    {'conductor': 230384, 'elladic_image': '8.6.0.6', 'lmfdb_label': '230384.bl1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 230384.bl does not appear in ec_padic