Elliptic curve data - 479370.h1

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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': '479370h', 'Clabel': '479370h4', 'Cnumber': 4, 'abc_quality': 1.0531544430296054, 'absD': 2241152247842468261718750000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 33060, 'ainvs': [1, 1, 0, -389577288, 1889706253392], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 19, 29], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 479370, 'degree': 435456000, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9500073360788574994310500813', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [10993009831928446009969, 3767761230468750000], 'lmfdb_iso': '479370.h', 'lmfdb_label': '479370.h1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -463231, 77449961], 'min_quad_twist_disc': 29, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '60.24.0.t.1', '76.6.0.?', '87.8.0.?', '174.24.0.?', '228.24.0.?', '1140.48.1.?', '1740.48.0.?', '6612.48.0.?', '33060.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '15.393163047128914782467361776', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 15979], [3, 4, 1682], [5, 6, 95874], [19, 20, 25230], [29, 422, 570]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2663594210856204858394140651', 'prec': 100}, 'szpiro_ratio': 5.424624205398438, '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, -1, 1, -1, 1, 2, -1, 1, 1, -6, -1, -4, -2, 1, 1, 6, -1, -1, -1], 'aplist': [-1, -1, -1, 2, -6, -4, 6, -1, 0, 0, -8, -8, 12, -2, 0, -6, -12, -2, -16, 0, 10, -8, 0, 12, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 479370, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '479370.h', 'trace_hash': 887784305999620648}
• 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': '0.00037073810089129613748063593847', 'prec': 113}, 'conductor': 479370, 'gens': [[-217707468, 5179758704352, 133]], 'heights': [{'__RealLiteral__': 0, 'data': '15.393163047128914782467361776', 'prec': 100}], 'lmfdb_label': '479370.h1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.042455731553617277990101980211', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6141119923598662165427660494656294373', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[20859, -20859, 2]], 'xcoord_integral_points': []}
• lmfdb_label 479370.h1 does not appear in ec_iwasawa
• lmfdb_label 479370.h1 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: 11814666
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '479370.h1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11814667
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '479370.h1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11814668
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 18, 'j_denominator_valuation': 18, 'kodaira_symbol': 22, 'lmfdb_label': '479370.h1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 11814669
    {'conductor': 479370, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '479370.h1', 'prime': 19, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 11814670
    {'conductor': 479370, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '479370.h1', 'prime': 29, '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: 4603702
    {'adelic_gens': [[11021, 20532, 21286, 24013], [19837, 20532, 30102, 24013], [11, 2, 33010, 33051], [18239, 0, 0, 33059], [21490, 21663, 5133, 1132], [1, 0, 12, 1], [30306, 6757, 30305, 19286], [1, 6, 6, 37], [1, 12, 0, 1], [33049, 12, 33048, 13]], 'adelic_image': '33060.96.1.?', 'conductor': 479370, 'lmfdb_label': '479370.h1', 'prime': 0}
  • id: 1589161
    {'conductor': 479370, 'elladic_image': '2.3.0.1', 'lmfdb_label': '479370.h1', 'modell_image': '2B', 'prime': 2}
  • id: 1589162
    {'conductor': 479370, 'elladic_image': '3.4.0.1', 'lmfdb_label': '479370.h1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 479370.h does not appear in ec_padic