Elliptic curve data - 422370.et2

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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': '422370et', 'Clabel': '422370et2', 'Cnumber': 2, 'abc_quality': 1.0039069659549966, 'absD': 53667588750750, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 29640, 'ainvs': [1, -1, 1, -1443707, -667316211], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 422370, 'degree': 7962624, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.0367208376600117246052717708', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 123, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [261984288445803, 42250], 'lmfdb_iso': '422370.et', 'lmfdb_label': '422370.et2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -3999, 98343], 'min_quad_twist_disc': -19, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '57.8.0-3.a.1.1', '114.24.0.?', '120.24.0.?', '156.24.0.?', '520.6.0.?', '1560.48.1.?', '2280.48.0.?', '2964.48.0.?', '29640.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 4, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 5415], [3, 6, 9386], [5, 6, 84474], [13, 14, 32490], [19, 182, 1170]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.28984827590976407175194674563', 'prec': 103}, 'szpiro_ratio': 4.181202271543187, '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, -4, 1, 0, 1, 0, 0, -1, -4, 0, 1, 6, 0, 0, 1], 'aplist': [1, 0, 1, -4, 0, -1, 6, 0, -6, -6, 10, 10, -6, -4, -12, 12, -12, -10, -14, 0, -16, -8, -12, 6, -8], 'class_deg': 6, 'class_size': 4, 'conductor': 422370, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '422370.et', 'trace_hash': 1439545695371414158}
• 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': '0.017018714706930336649337478277', 'prec': 107}, 'conductor': 422370, 'gens': [], 'heights': [], 'lmfdb_label': '422370.et2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.13773040255381202650638652830', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6527648306457443180766383395848178052', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-2773, 2769, 2]], 'xcoord_integral_points': []}
• lmfdb_label 422370.et2 does not appear in ec_iwasawa
• lmfdb_label 422370.et2 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: 10435410
    {'conductor': 422370, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '422370.et2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 10435411
    {'conductor': 422370, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '422370.et2', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10435412
    {'conductor': 422370, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '422370.et2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 10435413
    {'conductor': 422370, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '422370.et2', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 10435414
    {'conductor': 422370, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '422370.et2', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 4274318
    {'adelic_gens': [[14039, 0, 0, 29639], [7810, 12483, 21033, 21832], [23466, 19057, 8645, 13586], [18241, 20292, 15846, 3193], [1, 0, 12, 1], [11192, 6251, 2565, 10888], [7810, 12483, 12141, 21832], [1, 6, 6, 37], [11, 2, 29590, 29631], [1, 12, 0, 1], [29629, 12, 29628, 13]], 'adelic_image': '29640.96.1.?', 'conductor': 422370, 'lmfdb_label': '422370.et2', 'prime': 0}
  • id: 1424711
    {'conductor': 422370, 'elladic_image': '2.3.0.1', 'lmfdb_label': '422370.et2', 'modell_image': '2B', 'prime': 2}
  • id: 1424712
    {'conductor': 422370, 'elladic_image': '3.4.0.1', 'lmfdb_label': '422370.et2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 422370.et does not appear in ec_padic