Elliptic curve data - 7350.b1

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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': '7350r', 'Clabel': '7350r1', 'Cnumber': 1, 'abc_quality': 1.1325829723719758, 'absD': 15876000000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 40, 'ainvs': [1, 1, 0, 2425, 187125], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 7350, 'degree': 21120, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.2140989341369273514343452287', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [16468459, 165888], 'lmfdb_iso': '7350.b', 'lmfdb_label': '7350.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 97, 1497], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['40.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 4, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.1236799402552420961259823299', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 245], [3, 4, 2450], [5, 14, 294], [11, 2, 3675]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.31729785836453348036711639513', 'prec': 107}, 'szpiro_ratio': 4.245051526039848, '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, -1, 1, 0, 1, 0, -1, 1, 0, -5, -1, -1, 0, 0, 1, 2, -1, -7, 0], 'aplist': [-1, -1, 0, 0, -5, -1, 2, -7, 3, 0, 6, -5, 9, 10, 13, -1, -4, 2, 6, -2, -4, -14, 10, -10, -8], 'class_deg': 1, 'class_size': 1, 'conductor': 7350, 'isogeny_matrix': [[1]], 'lmfdb_iso': '7350.b', 'trace_hash': 1359833270019703893}
• 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': '0.088195629595029052798246769273', 'prec': 107}, 'conductor': 7350, 'gens': [[35, 545, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.1236799402552420961259823299', 'prec': 100}], 'lmfdb_label': '7350.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.51258375567042065067067022625', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3039203357901835550313049100085881273', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-41, 35]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': [1, 0], '5': 'a', '7': 'a', '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '7350.b1'}
• ec_torsion_growth •

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

  
  
  • id: 385906
    {'degree': 3, 'field': [15, 5, -1, 1], 'lmfdb_label': '7350.b1', 'torsion': [2]}
  • id: 385907
    {'degree': 6, 'field': [90, 0, 61, 0, 8, 0, 1], 'lmfdb_label': '7350.b1', 'torsion': [2, 2]}
  • id: 385908
    {'degree': 8, 'field': [266, -49, 14, 77, 119, -91, 1, -2, 1], 'lmfdb_label': '7350.b1', 'torsion': [3]}
  • id: 385909
    {'degree': 12, 'field': [8100, 11500, 60325, -21900, -15765, 3320, 3745, -1480, -179, 136, -9, -4, 1], 'lmfdb_label': '7350.b1', '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: 151235
    {'conductor': 7350, 'conductor_valuation': 1, 'discriminant_valuation': 11, 'j_denominator_valuation': 11, 'kodaira_symbol': 15, 'lmfdb_label': '7350.b1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 151236
    {'conductor': 7350, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '7350.b1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 151237
    {'conductor': 7350, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '7350.b1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 151238
    {'conductor': 7350, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '7350.b1', 'prime': 7, '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

  
  {'adelic_gens': [[21, 2, 21, 3], [1, 0, 2, 1], [17, 2, 17, 3], [31, 2, 31, 3], [1, 2, 0, 1], [1, 1, 39, 0], [39, 2, 38, 3]], 'adelic_image': '40.2.0.?', 'conductor': 7350, 'lmfdb_label': '7350.b1', 'prime': 0}
• ec_padic •

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

  
  
  • id: 298659
    {'lmfdb_iso': '7350.b', 'p': 11, 'prec': 20, 'unit': 2158796963057650569, 'val': 1}
  • id: 298657
    {'lmfdb_iso': '7350.b', 'p': 13, 'prec': 20, 'unit': 731043624253480449261, 'val': 1}
  • id: 298660
    {'lmfdb_iso': '7350.b', 'p': 17, 'prec': 20, 'unit': 64142806988676709836995, 'val': 1}
  • id: 298661
    {'lmfdb_iso': '7350.b', 'p': 19, 'prec': 20, 'unit': 406823078700003329220110, 'val': 1}
  • id: 298665
    {'lmfdb_iso': '7350.b', 'p': 23, 'prec': 20, 'unit': 47856951179863261472962, 'val': 1}
  • id: 298669
    {'lmfdb_iso': '7350.b', 'p': 31, 'prec': 20, 'unit': 20035895450341152876262993395, 'val': 1}
  • id: 298653
    {'lmfdb_iso': '7350.b', 'p': 37, 'prec': 20, 'unit': 65639370314084569931959666419, 'val': 1}
  • id: 298655
    {'lmfdb_iso': '7350.b', 'p': 41, 'prec': 20, 'unit': 4142955414393443417798327640694, 'val': 1}
  • id: 298656
    {'lmfdb_iso': '7350.b', 'p': 43, 'prec': 20, 'unit': 5394716363101043095482668566327, 'val': 1}
  • id: 298667
    {'lmfdb_iso': '7350.b', 'p': 47, 'prec': 20, 'unit': 25390422919129300621254276723575, 'val': 1}
  • id: 298662
    {'lmfdb_iso': '7350.b', 'p': 53, 'prec': 20, 'unit': 312748951509416891894033817418939, 'val': 1}
  • id: 298663
    {'lmfdb_iso': '7350.b', 'p': 59, 'prec': 20, 'unit': 4084961280540650695844268251178868, 'val': 1}
  • id: 298668
    {'lmfdb_iso': '7350.b', 'p': 61, 'prec': 20, 'unit': 7425871591041730042381596383300122, 'val': 1}
  • id: 298652
    {'lmfdb_iso': '7350.b', 'p': 67, 'prec': 20, 'unit': 7767505858678960808037416999984236, 'val': 1}
  • id: 298654
    {'lmfdb_iso': '7350.b', 'p': 71, 'prec': 20, 'unit': 29005812084922152656055551878651488, 'val': 1}
  • id: 298664
    {'lmfdb_iso': '7350.b', 'p': 73, 'prec': 20, 'unit': 86081533251248888600511936402570004, 'val': 1}
  • id: 298658
    {'lmfdb_iso': '7350.b', 'p': 79, 'prec': 20, 'unit': 720813672946468828723956786887459045, 'val': 1}
  • id: 298651
    {'lmfdb_iso': '7350.b', 'p': 83, 'prec': 20, 'unit': 1500993411063670508608806745670389206, 'val': 1}
  • id: 298666
    {'lmfdb_iso': '7350.b', 'p': 89, 'prec': 20, 'unit': 6907750741048662594844265307117198645, 'val': 1}
  • id: 298650
    {'lmfdb_iso': '7350.b', 'p': 97, 'prec': 20, 'unit': 49415328081663669567003413010278464574, 'val': 1}