Elliptic curve data - 1150.e1

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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': '1150i', 'Clabel': '1150i1', 'Cnumber': 1, 'abc_quality': 1.2205379736306603, 'absD': 26450000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 8, 'ainvs': [1, -1, 1, 195, -7803], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 1150, 'degree': 2520, 'elladic_images': ['8.2.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.67986779540837027147018116541', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 4, 'isogeny_degrees': [1], 'jinv': [2109375, 67712], 'lmfdb_iso': '1150.e', 'lmfdb_label': '1150.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, 8, -64], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['8.2.0.a.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 12, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.096454741886392039810332546183', 'prec': 107}, 'semistable': False, 'serre_invariants': [[2, 4, 25], [5, 10, 46], [7, 2, 575], [23, 24, 50]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.39309081288102997826365839007', 'prec': 107}, 'szpiro_ratio': 4.460443104359197, '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, -3, 1, 0, -3, -4, 1, 6, 0, 3, -3, 6, -4, 0, 1, -5, 6, -1, 0], 'aplist': [1, -3, 0, -4, 3, 6, -5, -1, -1, -8, -8, -2, -7, -4, -10, 12, 4, -8, -3, 4, 7, -6, -11, -3, 14], 'class_deg': 1, 'class_size': 1, 'conductor': 1150, 'isogeny_matrix': [[1]], 'lmfdb_iso': '1150.e', 'trace_hash': 1985067315826821281}
• 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': '0.25672864939261757108556827464', 'prec': 103}, 'conductor': 1150, 'gens': [[69, 540, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.096454741886392039810332546183', 'prec': 107}], 'lmfdb_label': '1150.e1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.57292656548448340832393556829', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3209823277338432158200740498184768204', 'prec': 130}, 'tamagawa_product': 42, 'torsion_generators': [], 'xcoord_integral_points': [19, 23, 45, 69, 119, 1219]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': [1, 1, 0], '5': 'a', '7': [1, 0], '11': [3, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '1150.e1'}
• ec_torsion_growth •

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

  
  
  • id: 56423
    {'degree': 3, 'field': [2, 2, -1, 1], 'lmfdb_label': '1150.e1', 'torsion': [2]}
  • id: 56424
    {'degree': 6, 'field': [2, 0, -3, 0, 4, 0, 1], 'lmfdb_label': '1150.e1', 'torsion': [2, 2]}
  • id: 56425
    {'degree': 8, 'field': [-20, -28, 10, 35, -14, -7, 7, -4, 1], 'lmfdb_label': '1150.e1', 'torsion': [3]}
  • id: 56426
    {'degree': 12, 'field': [52, -264, 734, -1408, 1412, -844, 403, -140, 41, -20, 9, -4, 1], 'lmfdb_label': '1150.e1', 'torsion': [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: 16614
    {'conductor': 1150, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '1150.e1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 16615
    {'conductor': 1150, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '1150.e1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
  • id: 16616
    {'conductor': 1150, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '1150.e1', 'prime': 23, '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: 1671780
    {'adelic_gens': [[5, 2, 5, 3], [1, 2, 0, 1], [7, 2, 6, 3], [1, 0, 2, 1], [1, 1, 7, 0], [7, 2, 7, 3]], 'adelic_image': '8.2.0.?', 'conductor': 1150, 'lmfdb_label': '1150.e1', 'prime': 0}
  • id: 5439
    {'conductor': 1150, 'elladic_image': '8.2.0.1', 'lmfdb_label': '1150.e1', 'modell_image': '2G', 'prime': 2}
• ec_padic •

  Column	Type
  lmfdb_iso	text
  p	smallint
  prec	smallint
  unit	numeric
  val	smallint

  
  
  • id: 27799
    {'lmfdb_iso': '1150.e', 'p': 7, 'prec': 20, 'unit': 6187756507509967, 'val': 0}
  • id: 27797
    {'lmfdb_iso': '1150.e', 'p': 11, 'prec': 20, 'unit': 3729967383249932040, 'val': 2}
  • id: 27803
    {'lmfdb_iso': '1150.e', 'p': 13, 'prec': 20, 'unit': 160328559301066322305, 'val': 1}
  • id: 27805
    {'lmfdb_iso': '1150.e', 'p': 17, 'prec': 20, 'unit': 50136681073936960810838, 'val': 1}
  • id: 27806
    {'lmfdb_iso': '1150.e', 'p': 19, 'prec': 20, 'unit': 696441614427123379406845, 'val': 1}
  • id: 27802
    {'lmfdb_iso': '1150.e', 'p': 29, 'prec': 20, 'unit': 1527037989799772753734060739, 'val': 1}
  • id: 27815
    {'lmfdb_iso': '1150.e', 'p': 31, 'prec': 20, 'unit': 9536058666279958109663127557, 'val': 1}
  • id: 27798
    {'lmfdb_iso': '1150.e', 'p': 37, 'prec': 20, 'unit': 457051745593709657125727429071, 'val': 1}
  • id: 27800
    {'lmfdb_iso': '1150.e', 'p': 41, 'prec': 20, 'unit': 3032492303227889963954748185286, 'val': 1}
  • id: 27801
    {'lmfdb_iso': '1150.e', 'p': 43, 'prec': 20, 'unit': 3459647618039679914695051175869, 'val': 1}
  • id: 27813
    {'lmfdb_iso': '1150.e', 'p': 47, 'prec': 20, 'unit': 19344049671416920769906255971182, 'val': 1}
  • id: 27807
    {'lmfdb_iso': '1150.e', 'p': 53, 'prec': 20, 'unit': 187214705623616777168496455784336, 'val': 1}
  • id: 27808
    {'lmfdb_iso': '1150.e', 'p': 59, 'prec': 20, 'unit': 829538305532205960739901894949689, 'val': 1}
  • id: 27814
    {'lmfdb_iso': '1150.e', 'p': 61, 'prec': 20, 'unit': 6185749321355253758129656972415408, 'val': 1}
  • id: 27796
    {'lmfdb_iso': '1150.e', 'p': 67, 'prec': 20, 'unit': 6215234266401031798886974681799904, 'val': 1}
  • id: 27812
    {'lmfdb_iso': '1150.e', 'p': 71, 'prec': 20, 'unit': 76958766061512899377249685267153490, 'val': 1}
  • id: 27809
    {'lmfdb_iso': '1150.e', 'p': 73, 'prec': 20, 'unit': 10066640964148777818975917650082170, 'val': 1}
  • id: 27804
    {'lmfdb_iso': '1150.e', 'p': 79, 'prec': 20, 'unit': 373744091667188245177345470599512782, 'val': 1}
  • id: 27810
    {'lmfdb_iso': '1150.e', 'p': 83, 'prec': 20, 'unit': 2675590825633796049196621053452468396, 'val': 1}
  • id: 27811
    {'lmfdb_iso': '1150.e', 'p': 89, 'prec': 20, 'unit': 816803180994324045313609251599410665, 'val': 1}
  • id: 27795
    {'lmfdb_iso': '1150.e', 'p': 97, 'prec': 20, 'unit': 45279837822292705985306855923434319791, 'val': 1}