Elliptic curve data - 458640.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '458640s', 'Clabel': '458640s1', 'Cnumber': 1, 'abc_quality': 0.9485665982496478, 'absD': 1345936444489728000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 5460, 'ainvs': [0, 0, 0, -707763, 222280562], 'analytic_rank': 2, 'bad_primes': [2, 3, 5, 7, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 458640, 'degree': 5898240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2504144268236310479089067203', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 18, 'isogeny_degrees': [1, 2], 'jinv': [38282975119927, 1314144000], 'lmfdb_iso': '458640.s', 'lmfdb_label': '458640.s2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -4915, 128225], 'min_quad_twist_disc': 12, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '210.6.0.?', '364.6.0.?', '780.6.0.?', '5460.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 19, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '3.3077154174660258846382648047', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.52148356466580256651771379452', 'prec': 103}, 'szpiro_ratio': 3.9907267159040702, '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, -1, 0, 0, 0, 0, 0, -4, 0, -1, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 0, -1, 0, -4, -1, 0, -2, -4, -2, 6, -4, -6, 6, -10, -6, -4, -4, 8, -12, 10, 0, -6, 6, 6], 'class_deg': 2, 'class_size': 2, 'conductor': 458640, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '458640.s', 'trace_hash': 480871815162655884}
• 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': '0.011099792620821347109594869516', 'prec': 107}, 'conductor': 458640, 'gens': [[7, 14742, 1], [574, 2268, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.2636865896410385852268724621', 'prec': 100}, {'__RealLiteral__': 0, 'data': '2.7425352546315841130468812559', 'prec': 100}], 'lmfdb_label': '458640.s2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.26917373696263757277057140444', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '14.245601915652175701217267373323640312', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[553, 0, 1]], 'xcoord_integral_points': [-343, -97, 7, 169, 319, 553, 562, 574, 10537, 23849]}
• lmfdb_label 458640.s2 does not appear in ec_iwasawa
• lmfdb_label 458640.s2 does not appear in ec_torsion_growth
• 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: 11312052
    {'conductor': 458640, 'conductor_valuation': 4, 'discriminant_valuation': 20, 'j_denominator_valuation': 8, 'kodaira_symbol': -16, 'lmfdb_label': '458640.s2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11312053
    {'conductor': 458640, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '458640.s2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 11312054
    {'conductor': 458640, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '458640.s2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11312055
    {'conductor': 458640, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '458640.s2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 11312056
    {'conductor': 458640, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '458640.s2', 'prime': 13, '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: 4484459
    {'adelic_gens': [[1, 2, 2, 5], [1, 4, 0, 1], [1369, 4096, 1364, 4095], [1094, 1, 2183, 0], [1822, 1, 1819, 0], [1, 0, 4, 1], [3904, 1, 3119, 0], [3, 4, 8, 11], [5457, 4, 5456, 5], [4201, 4, 2942, 9]], 'adelic_image': '5460.12.0.?', 'conductor': 458640, 'lmfdb_label': '458640.s2', 'prime': 0}
  • id: 1530153
    {'conductor': 458640, 'elladic_image': '2.3.0.1', 'lmfdb_label': '458640.s2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 458640.s does not appear in ec_padic