Elliptic curve data - 141570.t2

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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': '141570ec', 'Clabel': '141570ec1', 'Cnumber': 1, 'abc_quality': 0.9336155243451589, 'absD': 3370777891936884000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 17160, 'ainvs': [1, -1, 0, -89865, -88917075], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 141570, 'degree': 2073600, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2352410907956819810082303387', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [-62146192681, 2610036000], 'lmfdb_iso': '141570.t', 'lmfdb_label': '141570.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -83, -2482], 'min_quad_twist_disc': 33, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '33.8.0-3.a.1.1', '1560.8.0.?', '17160.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.5650215046700342607885677768', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 70785], [3, 2, 242], [5, 6, 14157], [11, 72, 1170], [13, 14, 10890]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.48698731006244186327963593125', 'prec': 103}, 'szpiro_ratio': 4.226623732589185, '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, 0, 1, -1, 0, 1, -1, 0, 1, 0, 0, -1, -1, 0, 1, 0, 0, -5, -1], 'aplist': [-1, 0, -1, 1, 0, -1, 0, -5, -6, 6, -7, 2, 0, 1, -3, 12, -9, -5, -7, 6, -2, -5, 9, 3, -1], 'class_deg': 3, 'class_size': 2, 'conductor': 141570, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '141570.t', 'trace_hash': 1255581074701896495}
• 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': '0.011441797496063446318011457098', 'prec': 107}, 'conductor': 141570, 'gens': [[6933, 573159, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.5650215046700342607885677768', 'prec': 100}], 'lmfdb_label': '141570.t2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.10973137443511300595811256529', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.0074086722663240417904677661403260336', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [6933]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [10, 0], '3': 'a', '5': [1, 0], '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '141570.t2'}
• ec_torsion_growth •

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

  
  
  • id: 6401437
    {'degree': 2, 'field': [-8, -1, 1], 'lmfdb_label': '141570.t2', 'torsion': [3]}
  • id: 6401438
    {'degree': 3, 'field': [-78, 10, -1, 1], 'lmfdb_label': '141570.t2', 'torsion': [2]}
  • id: 6401441
    {'degree': 6, 'field': [-734, 240, -85, 82, -14, -2, 1], 'lmfdb_label': '141570.t2', 'torsion': [6]}
  • id: 6401440
    {'degree': 6, 'field': [15, -6, 23, -4, 9, -2, 1], 'lmfdb_label': '141570.t2', 'torsion': [3]}
  • id: 6401439
    {'degree': 6, 'field': [32400, 0, 4650, -360, 1, -2, 1], 'lmfdb_label': '141570.t2', 'torsion': [2, 2]}
  • id: 6401442
    {'degree': 12, 'field': [-109720752, -67452968, -14600083, -5532420, -860625, -307276, -35399, -9224, -1735, 300, 39, -4, 1], 'lmfdb_label': '141570.t2', 'torsion': [4]}
  • id: 6401443
    {'degree': 12, 'field': [36, -36, -12, -12, 52, -18, 23, -39, 18, -9, 8, -3, 1], 'lmfdb_label': '141570.t2', 'torsion': [3, 3]}
  • id: 6401444
    {'degree': 12, 'field': [22581504, 0, 4856544, 0, 336865, 0, -15852, 0, 1094, 0, -12, 0, 1], 'lmfdb_label': '141570.t2', 'torsion': [2, 6]}
  • id: 6401446
    {'degree': 18, 'field': [8422623, -63937269, 151957377, -100276704, -26016012, 45989460, 5024484, -6317550, -467667, 260141, 54825, 15162, -10366, -1842, 984, 70, -39, -3, 1], 'lmfdb_label': '141570.t2', 'torsion': [6]}
  • id: 6401445
    {'degree': 18, 'field': [3260882666176, -669935849088, -793708145136, -52483446832, 264299893860, 127128709992, 633681395, -8781993189, -86905434, 736576940, 73533075, -28379457, -3469246, 755895, 116805, -1618, -648, -3, 1], 'lmfdb_label': '141570.t2', 'torsion': [9]}
• 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: 3499613
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '141570.t2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499614
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 3, 'kodaira_symbol': -7, 'lmfdb_label': '141570.t2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 3499615
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '141570.t2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 3499616
    {'conductor': 141570, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '141570.t2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 3499617
    {'conductor': 141570, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '141570.t2', 'prime': 13, '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: 2584491
    {'adelic_gens': [[10297, 6, 13731, 19], [4, 3, 9, 7], [8581, 6, 8583, 19], [9359, 17154, 10917, 17141], [17155, 6, 17154, 7], [1, 6, 0, 1], [2641, 6, 7923, 19], [3, 4, 8, 11], [12871, 6, 4293, 19], [714, 16439, 5717, 4986], [1, 0, 6, 1]], 'adelic_image': '17160.16.0.?', 'conductor': 141570, 'lmfdb_label': '141570.t2', 'prime': 0}
  • id: 547361
    {'conductor': 141570, 'elladic_image': '3.4.0.1', 'lmfdb_label': '141570.t2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 141570.t does not appear in ec_padic