Elliptic curve data - 2850.p4

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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': '2850q', 'Clabel': '2850q1', 'Cnumber': 1, 'abc_quality': 1.0394954084659127, 'absD': 1839684648960000000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [1, 1, 1, 91912, -64331719], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 19], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2850, 'degree': 53760, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1849788624739390763632305946', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 15, 'isogeny_degrees': [1, 2, 4], 'jinv': [5495662324535111, 117739817533440], 'lmfdb_iso': '2850.p', 'lmfdb_label': '2850.p4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, 3676, -514654], 'min_quad_twist_disc': 5, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '24.24.0-24.y.1.13', '30.6.0.a.1', '40.24.0-40.bb.1.2', '60.24.0-60.g.1.3', '120.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 75], [3, 4, 950], [5, 18, 38], [7, 2, 1425], [19, 20, 150]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3802599062568888890628509280', 'prec': 100}, 'szpiro_ratio': 6.220364613434333, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -4, 1, 1, 0, 0, -1, -2, -4, 0, 1, 2, 1, -1, 0], 'aplist': [1, -1, 0, -4, 0, -2, 2, -1, 0, 10, 0, -2, 2, 4, 0, 6, 8, 6, -12, 0, 14, 0, 12, 10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2850, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2850.p', 'trace_hash': 235806217216184862}
• 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': '0.012651775411164906384241358070', 'prec': 107}, 'conductor': 2850, 'gens': [], 'heights': [], 'lmfdb_label': '2850.p4', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12813413231169064976107934771', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7938778523636690966551108678696804130', 'prec': 130}, 'tamagawa_product': 224, 'torsion_generators': [[965, 29917, 1]], 'xcoord_integral_points': [325, 965]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 0], '3': [0, 0], '5': 'a', '7': [2, 0], '19': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '2850.p4'}
• ec_torsion_growth •

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

  
  
  • id: 148065
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '2850.p4', 'torsion': [2, 4]}
  • id: 148066
    {'degree': 4, 'field': [-3034, -48, 49, -2, 1], 'lmfdb_label': '2850.p4', 'torsion': [8]}
  • id: 148070
    {'degree': 8, 'field': [-1504, -896, 752, 287, -140, -7, 7, -4, 1], 'lmfdb_label': '2850.p4', 'torsion': [12]}
  • id: 148068
    {'degree': 8, 'field': [16, 0, -14, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '2850.p4', 'torsion': [2, 8]}
  • id: 148069
    {'degree': 8, 'field': [732736, 0, -87306, 0, 4301, 0, -96, 0, 1], 'lmfdb_label': '2850.p4', 'torsion': [2, 8]}
  • id: 148067
    {'degree': 8, 'field': [2033476, 0, 196789, 0, 7611, 0, 139, 0, 1], 'lmfdb_label': '2850.p4', 'torsion': [4, 4]}
  • id: 148072
    {'degree': 16, 'field': [1121500, -113500, -1093050, 234675, 106470, -10455, 112399, -41254, 18045, -3930, 972, 39, -112, -35, 15, -4, 1], 'lmfdb_label': '2850.p4', 'torsion': [2, 12]}
  • id: 148071
    {'degree': 16, 'field': [409126036096, 737686383360, 552645471552, 332000959680, 170670295448, 52546894720, 9754756064, 1483399360, 193272220, 10084160, 451184, 407600, 45338, -2400, -408, 0, 1], 'lmfdb_label': '2850.p4', 'torsion': [16]}
• 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: 50674
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '2850.p4', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 28}
  • id: 50675
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2850.p4', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 50676
    {'conductor': 2850, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '2850.p4', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 50677
    {'conductor': 2850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2850.p4', 'prime': 19, 'reduction_type': -1, '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: 1682579
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [49, 48, 118, 55], [88, 3, 85, 2], [113, 8, 112, 9], [92, 119, 49, 114], [83, 78, 50, 107], [7, 6, 114, 115], [1, 4, 4, 17]], 'adelic_image': '120.48.0.?', 'conductor': 2850, 'lmfdb_label': '2850.p4', 'prime': 0}
  • id: 14246
    {'conductor': 2850, 'elladic_image': '4.12.0.7', 'lmfdb_label': '2850.p4', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2850.p does not appear in ec_padic