Elliptic curve data - 227430.bn1

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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': '227430dy', 'Clabel': '227430dy3', 'Cnumber': 3, 'abc_quality': 1.0155441932694813, 'absD': 41077673861227941016485000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2280, 'ainvs': [1, -1, 0, -5764306014, 168450243845548], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 227430, 'degree': 185794560, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.1682117739907866768958341851', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 39, 'isogeny_degrees': [1, 2, 4], 'jinv': [617611911727813844500009, 1197723879765000], 'lmfdb_iso': '227430.bn', 'lmfdb_label': '227430.bn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1774179, 909437302], 'min_quad_twist_disc': 57, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0-4.c.1.1', '40.12.0-4.c.1.6', '76.12.0.?', '120.24.0.?', '456.24.0.?', '760.24.0.?', '2280.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3249], [3, 8, 12635], [5, 6, 45486], [7, 8, 32490], [19, 200, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.1466861400735116011936978507', 'prec': 100}, 'szpiro_ratio': 6.407866415255795, '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, 0, 1, 1, 0, -1, -1, 0, -1, -4, 0, 2, 1, 0, 1, 2, 0, 0, 1], 'aplist': [-1, 0, 1, -1, -4, 2, 2, 0, 8, 6, 0, 10, -2, -8, 0, 2, 0, -2, -4, 0, -6, 0, -12, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 227430, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '227430.bn', 'trace_hash': 776479757529809334}
• 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': '0.00023962782965652992143175873644', 'prec': 113}, 'conductor': 227430, 'gens': [], 'heights': [], 'lmfdb_label': '227430.bn1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.055320283559527034013938493553', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7702490739048650884460317936975302140', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[175523, -175523, 2]], 'xcoord_integral_points': []}
• lmfdb_label 227430.bn1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9874692
    {'degree': 2, 'field': [-114, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [2, 2]}
  • id: 9874694
    {'degree': 2, 'field': [-19, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [4]}
  • id: 9874693
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [4]}
  • id: 9874695
    {'degree': 4, 'field': [169, 0, -50, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [2, 4]}
  • id: 9874699
    {'degree': 8, 'field': [-601200, 86100, 63685, -5082, 2676, -14, 42, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [6]}
  • id: 9874698
    {'degree': 8, 'field': [8100, 0, -1080, 0, 141, 0, 12, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [8]}
  • id: 9874697
    {'degree': 8, 'field': [36100, 0, -28880, 0, 4446, 0, -152, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [8]}
  • id: 9874696
    {'degree': 8, 'field': [194425, -26036, 25274, 1504, -701, -64, 26, -4, 1], 'lmfdb_label': '227430.bn1', 'torsion': [2, 4]}
  • id: 9874702
    {'degree': 16, 'field': [441400, -450000, 921200, -1435280, 1021466, -594204, 301070, -143940, 130261, -13680, 25444, -3160, 1956, -100, 70, -4, 1], 'lmfdb_label': '227430.bn1', 'torsion': [2, 8]}
  • id: 9874705
    {'degree': 16, 'field': [59845696, 0, 20591488, 0, -791744, 0, -5062739, 0, 362626, 0, -9611, 0, 121, 0, -38, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [12]}
  • id: 9874700
    {'degree': 16, 'field': [121550625, 0, 0, 0, 21577644, 0, 0, 0, -48762, 0, 0, 0, 492, 0, 0, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [4, 4]}
  • id: 9874701
    {'degree': 16, 'field': [454226161, -1965197208, -2488341264, 1959726576, 1665916816, -676667064, -385320624, 87969696, 39829326, -4317864, -1839216, 82992, 38464, -456, -336, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [2, 8]}
  • id: 9874704
    {'degree': 16, 'field': [15575040000, 0, -1891584000, 0, 2178323200, 0, -82648416, 0, -1306848, 0, -88216, 0, 1716, 0, -12, 0, 1], 'lmfdb_label': '227430.bn1', 'torsion': [12]}
  • id: 9874703
    {'degree': 16, 'field': [128565273600, 0, 11132899200, 0, 20713449600, 0, -3366507744, 0, 95230512, 0, -1372824, 0, 20556, 0, -228, 0, 1], 'lmfdb_label': '227430.bn1', '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: 5640192
    {'conductor': 227430, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '227430.bn1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 5640193
    {'conductor': 227430, 'conductor_valuation': 2, 'discriminant_valuation': 13, 'j_denominator_valuation': 7, 'kodaira_symbol': -11, 'lmfdb_label': '227430.bn1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5640194
    {'conductor': 227430, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '227430.bn1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5640195
    {'conductor': 227430, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '227430.bn1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5640196
    {'conductor': 227430, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '227430.bn1', 'prime': 19, '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: 3114396
    {'adelic_gens': [[457, 8, 1828, 33], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [288, 1433, 1987, 1974], [2003, 1996, 2042, 861], [7, 6, 2274, 2275], [752, 2277, 755, 2278], [1436, 2279, 1417, 2274], [2273, 8, 2272, 9]], 'adelic_image': '2280.48.0.?', 'conductor': 227430, 'lmfdb_label': '227430.bn1', 'prime': 0}
  • id: 830670
    {'conductor': 227430, 'elladic_image': '4.6.0.1', 'lmfdb_label': '227430.bn1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 227430.bn does not appear in ec_padic