Elliptic curve data - 30634.f1

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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': '30634e', 'Clabel': '30634e2', 'Cnumber': 2, 'abc_quality': 1.0301808338569838, 'absD': 919943388163328, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 10812, 'ainvs': [1, 1, 1, -7110273, -7300520321], 'analytic_rank': 0, 'bad_primes': [2, 17, 53], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 30634, 'degree': 725760, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3940038578223008006707881032', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 5, 'isogeny_degrees': [1, 3], 'jinv': [-1646982616152408625, 38112512], 'lmfdb_iso': '30634.f', 'lmfdb_label': '30634.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -24603, -1487407], 'min_quad_twist_disc': 17, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '51.8.0-3.a.1.1', '212.2.0.?', '636.8.0.?', '10812.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 9, 'sha_primes': [3], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97739718579419276054602079426', 'prec': 103}, 'szpiro_ratio': 5.706246133026507, '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, 4, 1, -2, 0, 0, -1, 5, 4, 0, 1, 0, -2, -1, 0], 'aplist': [1, -1, 0, 4, 0, 5, 0, -1, -3, -9, 4, -5, -6, -10, 6, -1, 6, -8, -4, 3, 4, 13, 3, 18, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 30634, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '30634.f', 'trace_hash': 1504746536637753923}
• 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': '0.0083290346685712532441793084154', 'prec': 110}, 'conductor': 30634, 'gens': [], 'heights': [], 'lmfdb_label': '30634.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.046227242607284369153903837300', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '9.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.3283614677244745790810762856352004800', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [6, 1], '5': [0, 0, 0], '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': 'a', '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0], '53': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '30634.f1'}
• ec_torsion_growth •

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

  
  
  • id: 1530885
    {'degree': 2, 'field': [13, -1, 1], 'lmfdb_label': '30634.f1', 'torsion': [3]}
  • id: 1530886
    {'degree': 3, 'field': [-2, 4, -1, 1], 'lmfdb_label': '30634.f1', 'torsion': [2]}
  • id: 1530888
    {'degree': 6, 'field': [-34, -102, 42, 19, -9, -3, 1], 'lmfdb_label': '30634.f1', 'torsion': [3]}
  • id: 1530887
    {'degree': 6, 'field': [62, -94, 57, -6, -4, 0, 1], 'lmfdb_label': '30634.f1', 'torsion': [2, 2]}
  • id: 1530889
    {'degree': 6, 'field': [1075, -219, 508, -29, 46, -1, 1], 'lmfdb_label': '30634.f1', 'torsion': [6]}
  • id: 1530890
    {'degree': 12, 'field': [-53953904, -35040224, -2955544, 756072, -68794, -56384, 14362, 6260, 283, -274, 8, -6, 1], 'lmfdb_label': '30634.f1', 'torsion': [4]}
  • id: 1530891
    {'degree': 12, 'field': [841, 0, -1953, 0, 3750, 0, -1921, 0, 390, 0, -33, 0, 1], 'lmfdb_label': '30634.f1', 'torsion': [3, 3]}
  • id: 1530892
    {'degree': 12, 'field': [11383389, -1259442, 3294513, -973818, 458838, -151410, 49693, -9854, 3010, -358, 85, -6, 1], 'lmfdb_label': '30634.f1', 'torsion': [2, 6]}
  • id: 1530894
    {'degree': 18, 'field': [-264256, -1265376, 1263960, -1603222, 1732794, -759624, -451290, 247242, 151296, -80545, -28929, 14658, 4228, -2196, -276, 200, 0, -9, 1], 'lmfdb_label': '30634.f1', 'torsion': [6]}
  • id: 1530893
    {'degree': 18, 'field': [131876305003, -24074812914, -10162322346, 9301756079, -4705842579, 326355402, 268552340, -198279681, 79686144, -20072029, 5801871, -1158537, 294119, -48057, 9165, -970, 147, -9, 1], 'lmfdb_label': '30634.f1', '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: 714596
    {'conductor': 30634, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '30634.f1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 714597
    {'conductor': 30634, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '30634.f1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 714598
    {'conductor': 30634, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '30634.f1', 'prime': 53, '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: 1868888
    {'adelic_gens': [[4, 3, 9, 7], [5407, 2550, 6681, 7651], [10807, 6, 10806, 7], [3554, 5355, 8755, 2551], [6733, 2550, 10659, 7651], [4451, 0, 0, 10811], [1, 6, 0, 1], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '10812.16.0.?', 'conductor': 30634, 'lmfdb_label': '30634.f1', 'prime': 0}
  • id: 137598
    {'conductor': 30634, 'elladic_image': '3.4.0.1', 'lmfdb_label': '30634.f1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 30634.f does not appear in ec_padic