Elliptic curve data - 2850.d1

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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': '2850g', 'Clabel': '2850g1', 'Cnumber': 1, 'abc_quality': 1.0156937260858383, 'absD': 167136682500, 'adelic_genus': 1, 'adelic_index': 48, 'adelic_level': 1140, 'ainvs': [1, 1, 0, -19875, -1086975], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 2850, 'degree': 7200, 'elladic_images': ['5.24.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1539463040000813778317158915', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 5], 'jinv': [-1389310279182025, 267418692], 'lmfdb_iso': '2850.d', 'lmfdb_label': '2850.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -19875, -1086975], 'min_quad_twist_disc': 1, 'modell_images': ['5B.1.3'], 'modm_images': ['5.24.0-5.a.2.1', '228.2.0.?', '1140.48.1.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 1425], [3, 4, 950], [5, 14, 6], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.61746699985538125296479611376', 'prec': 103}, 'szpiro_ratio': 5.192367362409931, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• 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, 0, 1, 2, -1, 1, 0, -3, -1, 6, -2, 0, 1, 2, -1, -1, 0], 'aplist': [-1, -1, 0, 2, -3, 6, 2, -1, 1, -5, 7, 2, 2, 6, 12, -9, -10, -13, 7, 12, -9, 5, 1, 5, 12], 'class_deg': 5, 'class_size': 2, 'conductor': 2850, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '2850.d', 'trace_hash': 1171506442959716581}
• 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': '0.099470654496615048609127931718', 'prec': 107}, 'conductor': 2850, 'gens': [], 'heights': [], 'lmfdb_label': '2850.d1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.20104112898250598475454918321', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2062467738950359085272950992726425503', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': [2, 0], '5': 'a', '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [2, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '2850.d1'}
• ec_torsion_growth •

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

  
  
  • id: 147787
    {'degree': 3, 'field': [7, 17, -1, 1], 'lmfdb_label': '2850.d1', 'torsion': [2]}
  • id: 147788
    {'degree': 4, 'field': [1, -1, 1, -1, 1], 'lmfdb_label': '2850.d1', 'torsion': [5]}
  • id: 147789
    {'degree': 6, 'field': [2052, 0, -108, 0, 9, 0, 1], 'lmfdb_label': '2850.d1', 'torsion': [2, 2]}
  • id: 147790
    {'degree': 8, 'field': [-22, -155, 182, -55, 31, -7, 7, -4, 1], 'lmfdb_label': '2850.d1', 'torsion': [3]}
  • id: 147791
    {'degree': 10, 'field': [-36, 0, 0, 0, 0, -66, 0, 0, 0, 0, 1], 'lmfdb_label': '2850.d1', 'torsion': [5]}
  • id: 147792
    {'degree': 12, 'field': [-3672, -3912, 7788, 1624, -4406, 310, 931, -354, 36, 34, -14, -2, 1], 'lmfdb_label': '2850.d1', 'torsion': [4]}
  • id: 147793
    {'degree': 12, 'field': [1951, -6667, 10841, -3585, -825, 3288, -851, -662, 235, 55, -24, -2, 1], 'lmfdb_label': '2850.d1', 'torsion': [10]}
  • id: 147794
    {'degree': 20, 'field': [2401, -1715, -2205, 595, 3460, -7753, 1565, 4905, 2780, -6185, 5169, -2555, 590, -135, 95, -97, 70, -35, 15, -5, 1], 'lmfdb_label': '2850.d1', 'torsion': [5, 5]}
• 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: 50566
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 50567
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2850.d1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 50568
    {'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '2850.d1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 50569
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2850.d1', 'prime': 19, '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: 1682544
    {'adelic_gens': [[6, 13, 1085, 1021], [781, 10, 485, 51], [571, 10, 575, 51], [573, 10, 20, 409], [1, 0, 10, 1], [1, 10, 0, 1], [761, 10, 385, 51], [1131, 10, 1130, 11]], 'adelic_image': '1140.48.1.?', 'conductor': 2850, 'lmfdb_label': '2850.d1', 'prime': 0}
  • id: 14205
    {'conductor': 2850, 'elladic_image': '5.24.0.4', 'lmfdb_label': '2850.d1', 'modell_image': '5B.1.3', 'prime': 5}
• lmfdb_iso 2850.d does not appear in ec_padic