Elliptic curve data - 310464.ec1

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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': '310464ec', 'Clabel': '310464ec2', 'Cnumber': 2, 'abc_quality': 0.9500570481511037, 'absD': 48473507594502144, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 308, 'ainvs': [0, 0, 0, -6619116, -6554620240], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 310464, 'degree': 7077888, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4696674917752509140788157601', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 106, 'isogeny_degrees': [1, 2], 'jinv': [1426487591593, 2156], 'lmfdb_iso': '310464.ec', 'lmfdb_label': '310464.ec1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -234, -1480], 'min_quad_twist_disc': 168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '28.6.0.c.1', '44.6.0.a.1', '308.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.092314497926378548297331412271', 'prec': 110}, 'szpiro_ratio': 4.644222769040756, '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, 0, 0, 0, 0, 1, 0, -4, 0, 0, 0, 0, 0, 4, 0], 'aplist': [0, 0, -2, 0, 1, -4, 0, 4, -4, 2, 10, 6, 0, 4, 10, -14, -10, -8, -8, 4, -4, 16, -4, 10, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 310464, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '310464.ec', 'trace_hash': 1934343935005106462}
• 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': '0.0071593578803218755356869214818', 'prec': 110}, 'conductor': 310464, 'gens': [], 'heights': [], 'lmfdb_label': '310464.ec1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.094123831137161519643467092599', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.5059812981945843142954734815772101410', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-1484, 0, 1]], 'xcoord_integral_points': [-1484]}
• lmfdb_label 310464.ec1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13097556
    {'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '310464.ec1', 'torsion': [2, 2]}
  • id: 13097557
    {'degree': 4, 'field': [396, 0, -24, 0, 1], 'lmfdb_label': '310464.ec1', 'torsion': [4]}
  • id: 13097560
    {'degree': 8, 'field': [-428652, 0, -1890, 0, -2268, 0, 0, 0, 1], 'lmfdb_label': '310464.ec1', 'torsion': [6]}
  • id: 13097558
    {'degree': 8, 'field': [2374, -3428, 3410, 52, -65, 44, -10, -4, 1], 'lmfdb_label': '310464.ec1', 'torsion': [2, 4]}
  • id: 13097559
    {'degree': 8, 'field': [77284, 0, -13480, 0, -400, 0, -20, 0, 1], 'lmfdb_label': '310464.ec1', 'torsion': [2, 4]}
  • id: 13097562
    {'degree': 16, 'field': [-9204712978, -10028595912, 4029566716, -1757470828, 1437774628, 4920116, 192740442, -68140732, -3582712, 1265704, 236846, -46952, 1815, 484, -62, -8, 1], 'lmfdb_label': '310464.ec1', 'torsion': [2, 6]}
  • id: 13097561
    {'degree': 16, 'field': [3020644, 0, -338212, 0, -148431, 0, 3710, 0, 10092, 0, 2450, 0, 128, 0, 0, 0, 1], 'lmfdb_label': '310464.ec1', '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: 7688359
    {'conductor': 310464, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '310464.ec1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7688360
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '310464.ec1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7688361
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '310464.ec1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7688362
    {'conductor': 310464, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '310464.ec1', 'prime': 11, '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: 3613263
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [1, 4, 0, 1], [45, 4, 90, 9], [114, 1, 251, 0], [232, 81, 77, 232], [305, 4, 304, 5]], 'adelic_image': '308.12.0.?', 'conductor': 310464, 'lmfdb_label': '310464.ec1', 'prime': 0}
  • id: 1090070
    {'conductor': 310464, 'elladic_image': '2.3.0.1', 'lmfdb_label': '310464.ec1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 310464.ec does not appear in ec_padic