Elliptic curve data - 4275.i3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4275k', 'Clabel': '4275k1', 'Cnumber': 1, 'abc_quality': 1.3175706029138485, 'absD': 216421875, 'adelic_genus': 43, 'adelic_index': 1296, 'adelic_level': 5130, 'ainvs': [0, 0, 1, 150, 31], 'analytic_rank': 1, 'bad_primes': [3, 5, 19], 'class_deg': 9, 'class_size': 3, 'cm': 0, 'conductor': 4275, 'degree': 864, 'elladic_images': ['27.36.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.28885196887431314512285193174', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 3, 9], 'jinv': [32768, 19], 'lmfdb_iso': '4275.i', 'lmfdb_label': '4275.i3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, 1, 0], 'min_quad_twist_disc': -15, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '9.12.0.a.1', '15.8.0-3.a.1.1', '27.36.0.a.1', '38.2.0.a.1', '45.24.0-9.a.1.2', '114.8.0.?', '135.72.0.?', '171.36.0.?', '342.72.3.?', '513.324.16.?', '570.16.0.?', '855.72.0.?', '1026.648.43.?', '1710.144.3.?', '2565.648.16.?', '5130.1296.43.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.4522817875708447287230438922', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0651731316767918878751503533', 'prec': 103}, 'szpiro_ratio': 3.187056205295146, '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, 0, 0, -2, 0, 0, 1, 0, 0, 0, -3, 0, 4, 0, 0, 4, -3, 0, 1, 0], 'aplist': [0, 0, 0, 1, -3, 4, -3, 1, 0, -6, -4, -2, 6, 1, -3, 12, 6, -1, 4, -6, 7, 8, 12, -12, -8], 'class_deg': 9, 'class_size': 3, 'conductor': 4275, 'isogeny_matrix': [[1, 3, 9], [3, 1, 3], [9, 3, 1]], 'lmfdb_iso': '4275.i', 'trace_hash': 188299556933663920}
• 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': '0.56118540506430701375283633277', 'prec': 103}, 'conductor': 4275, 'gens': [[1, 13, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.4522817875708447287230438922', 'prec': 100}], 'lmfdb_label': '4275.i3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.0656106734253472873002553775', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.0951339473134700105837795490744771463', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': [1]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 5, 0], '3': 'a', '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '4275.i3'}
• ec_torsion_growth •

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

  
  
  • id: 222552
    {'degree': 2, 'field': [4, -1, 1], 'lmfdb_label': '4275.i3', 'torsion': [3]}
  • id: 222553
    {'degree': 3, 'field': [-2, -2, 0, 1], 'lmfdb_label': '4275.i3', 'torsion': [2]}
  • id: 222554
    {'degree': 6, 'field': [1, -3, 4, -3, 4, -3, 1], 'lmfdb_label': '4275.i3', 'torsion': [2, 2]}
  • id: 222557
    {'degree': 6, 'field': [6, -18, 52, -11, 17, -1, 1], 'lmfdb_label': '4275.i3', 'torsion': [6]}
  • id: 222555
    {'degree': 6, 'field': [179, -85, 28, 39, -16, -1, 1], 'lmfdb_label': '4275.i3', 'torsion': [3]}
  • id: 222556
    {'degree': 6, 'field': [379, 145, 87, -9, -1, -1, 1], 'lmfdb_label': '4275.i3', 'torsion': [9]}
  • id: 222558
    {'degree': 12, 'field': [-4107071, 2860426, -44724, -98638, 25683, -40820, 12744, 1708, -1261, 130, 12, -6, 1], 'lmfdb_label': '4275.i3', 'torsion': [4]}
  • id: 222560
    {'degree': 12, 'field': [1, 0, 3, -4, -13, 10, 11, 2, 14, 2, -7, -1, 1], 'lmfdb_label': '4275.i3', 'torsion': [9]}
  • id: 222559
    {'degree': 12, 'field': [64, 312, 611, 507, -144, -249, 235, -144, 33, -15, 8, -3, 1], 'lmfdb_label': '4275.i3', 'torsion': [3, 3]}
  • id: 222561
    {'degree': 12, 'field': [3481, 0, 3191, 0, 2142, 0, 991, 0, 222, 0, 23, 0, 1], 'lmfdb_label': '4275.i3', 'torsion': [2, 6]}
  • id: 222562
    {'degree': 18, 'field': [-5036, 12712, -4916, -9764, 6346, -1594, 123, 1025, -15, 422, -5, 401, 32, -125, 57, 22, -7, -3, 1], 'lmfdb_label': '4275.i3', 'torsion': [6]}
  • id: 222563
    {'degree': 18, 'field': [2639251, -1671111, 3221238, -2183490, 1992381, -1314603, 846240, -478035, 256534, -117965, 54402, -20739, 7968, -2499, 783, -186, 46, -7, 1], 'lmfdb_label': '4275.i3', 'torsion': [18]}
• 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: 80520
    {'conductor': 4275, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4275.i3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 80521
    {'conductor': 4275, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '4275.i3', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 80522
    {'conductor': 4275, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '4275.i3', '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: 1691766
    {'adelic_gens': [[31, 36, 4438, 3499], [2929, 345, 755, 1604], [1, 54, 0, 1], [28, 27, 729, 703], [5077, 54, 5076, 55], [4103, 0, 0, 5129], [1, 0, 54, 1], [3046, 1035, 1715, 1816]], 'adelic_image': '5130.1296.43.?', 'conductor': 4275, 'lmfdb_label': '4275.i3', 'prime': 0}
  • id: 21210
    {'conductor': 4275, 'elladic_image': '27.36.0.1', 'lmfdb_label': '4275.i3', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 151772
    {'lmfdb_iso': '4275.i', 'p': 7, 'prec': 20, 'unit': 8848720499255818, 'val': -1}
  • id: 151770
    {'lmfdb_iso': '4275.i', 'p': 11, 'prec': 20, 'unit': 38958146877134941288, 'val': 1}
  • id: 151776
    {'lmfdb_iso': '4275.i', 'p': 13, 'prec': 20, 'unit': 1289099246676150380492, 'val': 1}
  • id: 151778
    {'lmfdb_iso': '4275.i', 'p': 17, 'prec': 20, 'unit': 128729204435743058132533, 'val': 1}
  • id: 151775
    {'lmfdb_iso': '4275.i', 'p': 29, 'prec': 20, 'unit': 1657866808993529133686905856, 'val': 1}
  • id: 151787
    {'lmfdb_iso': '4275.i', 'p': 31, 'prec': 20, 'unit': 11422463130600563323327772433, 'val': 1}
  • id: 151771
    {'lmfdb_iso': '4275.i', 'p': 37, 'prec': 20, 'unit': 147272752475002201900970147533, 'val': 1}
  • id: 151773
    {'lmfdb_iso': '4275.i', 'p': 41, 'prec': 20, 'unit': 147065893390015568061478515600, 'val': 1}
  • id: 151774
    {'lmfdb_iso': '4275.i', 'p': 43, 'prec': 20, 'unit': 19894062634961798786340373027625, 'val': -1}
  • id: 151785
    {'lmfdb_iso': '4275.i', 'p': 47, 'prec': 20, 'unit': 9648615258591985550672220295273, 'val': 1}
  • id: 151780
    {'lmfdb_iso': '4275.i', 'p': 53, 'prec': 20, 'unit': 154603016269147549345248634900133, 'val': 1}
  • id: 151781
    {'lmfdb_iso': '4275.i', 'p': 59, 'prec': 20, 'unit': 857023322435244028285729160441228, 'val': 1}
  • id: 151786
    {'lmfdb_iso': '4275.i', 'p': 61, 'prec': 20, 'unit': 4344702093860072060672139703416096, 'val': 1}
  • id: 151779
    {'lmfdb_iso': '4275.i', 'p': 67, 'prec': 20, 'unit': 35225032322028621021626010254224053, 'val': 1}
  • id: 151784
    {'lmfdb_iso': '4275.i', 'p': 71, 'prec': 20, 'unit': 27283624843681564689582382672345242, 'val': 1}
  • id: 151782
    {'lmfdb_iso': '4275.i', 'p': 73, 'prec': 20, 'unit': 86392431492150973565611168371992498, 'val': 1}
  • id: 151777
    {'lmfdb_iso': '4275.i', 'p': 79, 'prec': 20, 'unit': 406018462728963263505940340526944894, 'val': 1}
  • id: 151769
    {'lmfdb_iso': '4275.i', 'p': 83, 'prec': 20, 'unit': 2030599468489988270829983609132739045, 'val': 1}
  • id: 151783
    {'lmfdb_iso': '4275.i', 'p': 89, 'prec': 20, 'unit': 9626089879849801380984477405396401031, 'val': 1}
  • id: 151768
    {'lmfdb_iso': '4275.i', 'p': 97, 'prec': 20, 'unit': 19436826763746842369144342882353965646, 'val': 1}