Elliptic curve data - 407330.g4

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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': '407330g', 'Clabel': '407330g1', 'Cnumber': 1, 'abc_quality': 1.019093873411884, 'absD': 26146027657953280, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 10120, 'ainvs': [1, -1, 0, -15440, 7818496], 'analytic_rank': 1, 'bad_primes': [2, 5, 7, 11, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 407330, 'degree': 3153920, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8299936479383275522759413152', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 6, 'isogeny_degrees': [1, 2, 4], 'jinv': [-2749884201, 176619520], 'lmfdb_iso': '407330.g', 'lmfdb_label': '407330.g4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -29, -635], 'min_quad_twist_disc': -23, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '40.12.0.z.1', '88.12.0.?', '110.6.0.?', '184.12.0.?', '220.12.0.?', '440.24.0.?', '460.12.0.?', '920.24.0.?', '1012.12.0.?', '2024.24.0.?', '5060.24.0.?', '10120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 1, 'optimality': 3, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.8721998190091689732654906028', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.26224653997375270687256489930', 'prec': 103}, 'szpiro_ratio': 3.5042839266141206, '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, -3, 1, 1, 0, -6, 1, 0, 1, 2, 3, 4, -1], 'aplist': [-1, 0, -1, -1, 1, -6, 2, 4, 0, 6, 0, 2, -6, 4, 4, 2, 12, 2, 8, -8, -10, 8, 12, -10, 6], 'class_deg': 4, 'class_size': 4, 'conductor': 407330, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '407330.g', 'trace_hash': 991835393970461896}
• 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': '0.025732839637452150008115323370', 'prec': 107}, 'conductor': 407330, 'gens': [[14368, 1696720, 3]], 'heights': [{'__RealLiteral__': 0, 'data': '6.8721998190091689732654906028', 'prec': 100}], 'lmfdb_label': '407330.g4', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.31083961665551733358003266403', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2723039146418513706300657633853996684', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-224, 112, 1]], 'xcoord_integral_points': [-224]}
• lmfdb_label 407330.g4 does not appear in ec_iwasawa
• lmfdb_label 407330.g4 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: 10069826
    {'conductor': 407330, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '407330.g4', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10069827
    {'conductor': 407330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '407330.g4', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 10069828
    {'conductor': 407330, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '407330.g4', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10069829
    {'conductor': 407330, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '407330.g4', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10069830
    {'conductor': 407330, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '407330.g4', 'prime': 23, 'reduction_type': 0, '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: 4187022
    {'adelic_gens': [[10113, 8, 10112, 9], [1, 0, 8, 1], [3888, 9683, 9085, 6602], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 10114, 10115], [6159, 0, 0, 10119], [5889, 5888, 6118, 5015], [8419, 8418, 1058, 10075], [1588, 6601, 4071, 2646]], 'adelic_image': '10120.48.0.?', 'conductor': 407330, 'lmfdb_label': '407330.g4', 'prime': 0}
  • id: 1380699
    {'conductor': 407330, 'elladic_image': '4.6.0.1', 'lmfdb_label': '407330.g4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 407330.g does not appear in ec_padic