Elliptic curve data - 97344.u1

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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': '97344fy', 'Clabel': '97344fy1', 'Cnumber': 1, 'abc_quality': 1.0102488970788035, 'absD': 6027283903021056, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [0, 0, 0, -35724, 4550416], 'analytic_rank': 1, 'bad_primes': [2, 3, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 97344, 'degree': 589824, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7217538918021603723357574736', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 20, 'isogeny_degrees': [1, 3], 'jinv': [-156116857, 186624], 'lmfdb_iso': '97344.u', 'lmfdb_label': '97344.u1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -62, 324], 'min_quad_twist_disc': 24, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.2', '52.4.0-4.a.1.1', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.9967815843347846690566596618', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1521], [3, 2, 10816], [13, 38, 576]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.29476458294873522682996123398', 'prec': 107}, 'szpiro_ratio': 3.846820428555222, '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, 0, -3, 0, 2, 0, 0, 0, 6, 0, 0, 0, 0, 0, 3, 0, -2, 0], 'aplist': [0, 0, -3, 2, 6, 0, 3, -2, -6, 3, -4, -7, -3, -10, -6, 3, 0, 7, 10, -6, 13, 4, -6, 18, -14], 'class_deg': 3, 'class_size': 2, 'conductor': 97344, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '97344.u', 'trace_hash': 827260589823146742}
• 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': '0.031952406390625987493170853093', 'prec': 107}, 'conductor': 97344, 'gens': [[-160, 2484, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.9967815843347846690566596618', 'prec': 100}], 'lmfdb_label': '97344.u1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.38489471342987379570915273973', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.1533604101773356455671921923042684034', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-160]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': 'a', '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': 'a', '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': '97344.u1'}
• ec_torsion_growth •

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

  
  
  • id: 4530676
    {'degree': 2, 'field': [-78, 0, 1], 'lmfdb_label': '97344.u1', 'torsion': [3]}
  • id: 4530677
    {'degree': 3, 'field': [12, -4, -1, 1], 'lmfdb_label': '97344.u1', 'torsion': [2]}
  • id: 4530680
    {'degree': 6, 'field': [-11232, 0, -351, 0, 0, 0, 1], 'lmfdb_label': '97344.u1', 'torsion': [6]}
  • id: 4530678
    {'degree': 6, 'field': [8, -20, 25, -6, 2, -2, 1], 'lmfdb_label': '97344.u1', 'torsion': [2, 2]}
  • id: 4530679
    {'degree': 6, 'field': [26, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '97344.u1', 'torsion': [3]}
  • id: 4530681
    {'degree': 12, 'field': [-4016, 16, 2830, -11192, 7985, -1460, 1522, -868, 113, -64, 16, -4, 1], 'lmfdb_label': '97344.u1', 'torsion': [4]}
  • id: 4530682
    {'degree': 12, 'field': [729, -162, -369, 990, -300, -282, 193, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '97344.u1', 'torsion': [3, 3]}
  • id: 4530683
    {'degree': 12, 'field': [1971216, 0, 0, 0, 109512, 0, 0, 0, 585, 0, 0, 0, 1], 'lmfdb_label': '97344.u1', 'torsion': [2, 6]}
  • id: 4530685
    {'degree': 18, 'field': [3537, 11754, 20163, 42032, 69712, 63152, 25938, -2664, 2686, 5004, 2468, 592, -304, -32, 102, -24, 17, -6, 1], 'lmfdb_label': '97344.u1', 'torsion': [6]}
  • id: 4530684
    {'degree': 18, 'field': [9015579, -28887300, -102337614, -9969516, 12785337, 7344702, -1087464, 70416, 227484, -90792, 63621, 4932, -3515, 2280, -309, -80, 15, -6, 1], 'lmfdb_label': '97344.u1', '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: 2388726
    {'conductor': 97344, 'conductor_valuation': 6, 'discriminant_valuation': 26, 'j_denominator_valuation': 8, 'kodaira_symbol': -20, 'lmfdb_label': '97344.u1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2388727
    {'conductor': 97344, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '97344.u1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 2388728
    {'conductor': 97344, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '97344.u1', 'prime': 13, 'reduction_type': 0, '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: 2304623
    {'adelic_gens': [[1, 0, 12, 1], [77, 300, 39, 311], [301, 12, 300, 13], [43, 307, 201, 308], [57, 5, 79, 4], [4, 9, 3, 7], [1, 12, 0, 1], [155, 303, 153, 284], [5, 2, 274, 297]], 'adelic_image': '312.32.0.?', 'conductor': 97344, 'lmfdb_label': '97344.u1', 'prime': 0}
  • id: 392575
    {'conductor': 97344, 'elladic_image': '4.2.0.1', 'lmfdb_label': '97344.u1', 'modell_image': '2G', 'prime': 2}
  • id: 392576
    {'conductor': 97344, 'elladic_image': '3.4.0.1', 'lmfdb_label': '97344.u1', 'modell_image': '3B', 'prime': 3}
• ec_padic •

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

  
  
  • id: 5064673
    {'lmfdb_iso': '97344.u', 'p': 5, 'prec': 20, 'unit': 16906948520288, 'val': 1}
  • id: 5064674
    {'lmfdb_iso': '97344.u', 'p': 7, 'prec': 20, 'unit': 4064712978242522, 'val': 1}
  • id: 5064680
    {'lmfdb_iso': '97344.u', 'p': 11, 'prec': 20, 'unit': 40447744586593760327, 'val': 1}
  • id: 5064681
    {'lmfdb_iso': '97344.u', 'p': 17, 'prec': 20, 'unit': 86084466276315554924221, 'val': 1}
  • id: 5064682
    {'lmfdb_iso': '97344.u', 'p': 19, 'prec': 20, 'unit': 1703272396595598396936234, 'val': 1}
  • id: 5064685
    {'lmfdb_iso': '97344.u', 'p': 23, 'prec': 20, 'unit': 37074077939101689798175643, 'val': 1}
  • id: 5064678
    {'lmfdb_iso': '97344.u', 'p': 29, 'prec': 20, 'unit': 3604237461879985759858668529, 'val': 1}
  • id: 5064675
    {'lmfdb_iso': '97344.u', 'p': 31, 'prec': 20, 'unit': 9452082481419471647844519962, 'val': 1}
  • id: 5064690
    {'lmfdb_iso': '97344.u', 'p': 37, 'prec': 20, 'unit': 173051159349511859173098746156, 'val': 1}
  • id: 5064676
    {'lmfdb_iso': '97344.u', 'p': 41, 'prec': 20, 'unit': 1045649962312528402859230112281, 'val': 1}
  • id: 5064677
    {'lmfdb_iso': '97344.u', 'p': 43, 'prec': 20, 'unit': 4253814369498983536514638117021, 'val': 1}
  • id: 5064679
    {'lmfdb_iso': '97344.u', 'p': 47, 'prec': 20, 'unit': 12200278607486640276204553421337, 'val': 1}
  • id: 5064683
    {'lmfdb_iso': '97344.u', 'p': 53, 'prec': 20, 'unit': 58974235214840307216854104215872, 'val': 1}
  • id: 5064689
    {'lmfdb_iso': '97344.u', 'p': 61, 'prec': 20, 'unit': 1246315564559150090975790702591444, 'val': 1}
  • id: 5064672
    {'lmfdb_iso': '97344.u', 'p': 67, 'prec': 20, 'unit': 4714068575709741530628323228379073, 'val': 1}
  • id: 5064687
    {'lmfdb_iso': '97344.u', 'p': 71, 'prec': 20, 'unit': 21282254317347710394918899890403771, 'val': 1}
  • id: 5064684
    {'lmfdb_iso': '97344.u', 'p': 73, 'prec': 20, 'unit': 199386646319398797568199073969235416, 'val': 1}
  • id: 5064688
    {'lmfdb_iso': '97344.u', 'p': 79, 'prec': 20, 'unit': 1073858221707903691205150927235304171, 'val': 1}
  • id: 5064671
    {'lmfdb_iso': '97344.u', 'p': 83, 'prec': 20, 'unit': 1748821958199100675680033716580597387, 'val': 1}
  • id: 5064686
    {'lmfdb_iso': '97344.u', 'p': 89, 'prec': 20, 'unit': 2401084312061748916922135135097029769, 'val': 1}
  • id: 5064670
    {'lmfdb_iso': '97344.u', 'p': 97, 'prec': 20, 'unit': 38379858083719721558607177918146826698, 'val': 1}