Elliptic curve data - 374400.kg1

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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': '374400kg', 'Clabel': '374400kg2', 'Cnumber': 2, 'abc_quality': 1.014630928903307, 'absD': 13217702307310800000000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1040, 'ainvs': [0, 0, 0, -79785300, -211296602000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 374400, 'degree': 68812800, 'elladic_images': ['4.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.5319925328014798425227033406', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 266, 'isogeny_degrees': [1, 2], 'jinv': [601942297084171232, 141650616290625], 'lmfdb_iso': '374400.kg', 'lmfdb_label': '374400.kg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -354601, 62724601], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.b.1', '40.12.0-4.b.1.3', '104.12.0.?', '520.24.0.?', '1040.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '12.935897320250861822565047962', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 2925], [3, 8, 41600], [5, 14, 14976], [13, 14, 28800]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.4270579866437673909893662573', 'prec': 100}, 'szpiro_ratio': 5.158399418988622, '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, 0, 0, 4, 0, 0, 0, 0, 0, -1, 0, 0, 0, -2, 0, 4, 0], 'aplist': [0, 0, 0, 4, 0, -1, -2, 4, 2, 6, 2, 2, -6, -12, -8, -6, 4, -10, 14, 6, 6, 4, -6, 2, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 374400, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '374400.kg', 'trace_hash': 1975532533081216791}
• 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': '0.00085536261690159096441072660985', 'prec': 113}, 'conductor': 374400, 'gens': [[119782490, 1288643647500, 49]], 'heights': [{'__RealLiteral__': 0, 'data': '12.935897320250861822565047962', 'prec': 100}], 'lmfdb_label': '374400.kg1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.051374337497540744208229207909', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '10.633170476225610872507883021364597849', 'prec': 130}, 'tamagawa_product': 64, 'torsion_generators': [[-2980, 0, 1]], 'xcoord_integral_points': [-2980]}
• lmfdb_label 374400.kg1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 15529916
    {'degree': 2, 'field': [-130, 0, 1], 'lmfdb_label': '374400.kg1', 'torsion': [2, 2]}
  • id: 15529917
    {'degree': 4, 'field': [1170, 0, -54, 0, 1], 'lmfdb_label': '374400.kg1', 'torsion': [4]}
  • id: 15529920
    {'degree': 8, 'field': [-16875, 0, -22920, 0, -450, 0, 0, 0, 1], 'lmfdb_label': '374400.kg1', 'torsion': [6]}
  • id: 15529918
    {'degree': 8, 'field': [194481, 0, 0, 0, 3798, 0, 0, 0, 1], 'lmfdb_label': '374400.kg1', 'torsion': [2, 4]}
  • id: 15529919
    {'degree': 8, 'field': [13368351, 13011960, 4523344, 706680, 40386, -2080, -336, 0, 1], 'lmfdb_label': '374400.kg1', 'torsion': [2, 4]}
  • id: 15529923
    {'degree': 16, 'field': [-79414536399, 431933186952, -475640211624, -214945663104, 142812655356, 32190754536, -17918627744, -1042083744, 368352946, 9240776, -2219576, 20192, 8884, -376, -176, 0, 1], 'lmfdb_label': '374400.kg1', 'torsion': [2, 6]}
  • id: 15529922
    {'degree': 16, 'field': [396211509, -106844760, 115032912, -17501088, 11687134, -3870768, 1862844, -482248, 115367, -4816, 8804, -3736, 198, 168, -4, -8, 1], 'lmfdb_label': '374400.kg1', 'torsion': [8]}
  • id: 15529921
    {'degree': 16, 'field': [830753379400, 17597843200, -238739426400, -55435629600, 64277706960, -23133744480, 7500697600, -1934910080, 507969396, -52729824, 10202808, -691680, 116276, -3640, 552, -8, 1], 'lmfdb_label': '374400.kg1', 'torsion': [4, 4]}
• 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: 9265408
    {'conductor': 374400, 'conductor_valuation': 7, 'discriminant_valuation': 13, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '374400.kg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9265409
    {'conductor': 374400, 'conductor_valuation': 2, 'discriminant_valuation': 26, 'j_denominator_valuation': 20, 'kodaira_symbol': -24, 'lmfdb_label': '374400.kg1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 9265410
    {'conductor': 374400, 'conductor_valuation': 2, 'discriminant_valuation': 11, 'j_denominator_valuation': 5, 'kodaira_symbol': -9, 'lmfdb_label': '374400.kg1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 9265411
    {'conductor': 374400, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '374400.kg1', 'prime': 13, '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: 3993741
    {'adelic_gens': [[911, 8, 784, 33], [1039, 1032, 1036, 1007], [1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [824, 1037, 1035, 1038], [3, 8, 28, 75], [1033, 8, 1032, 9], [5, 8, 48, 77], [514, 1039, 237, 1036], [328, 3, 725, 2]], 'adelic_image': '1040.48.0.?', 'conductor': 374400, 'lmfdb_label': '374400.kg1', 'prime': 0}
  • id: 1283678
    {'conductor': 374400, 'elladic_image': '4.6.0.3', 'lmfdb_label': '374400.kg1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 374400.kg does not appear in ec_padic