Elliptic curve data - 308763.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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '308763t', 'Clabel': '308763t1', 'Cnumber': 1, 'abc_quality': 0.91097447228047, 'absD': 147232710261, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2262, 'ainvs': [0, 0, 1, -1326, -2142], 'analytic_rank': 0, 'bad_primes': [3, 7, 13, 29], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 308763, 'degree': 304128, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.83270950889060502888495147003', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 19, 'isogeny_degrees': [1, 3], 'jinv': [2092859392, 1195061], 'lmfdb_iso': '308763.t', 'lmfdb_label': '308763.t2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 1, -147, 30], 'min_quad_twist_disc': -3, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '39.8.0-3.a.1.2', '58.2.0.a.1', '174.8.0.?', '2262.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.14408819502037260615491905536', 'prec': 107}, 'szpiro_ratio': 2.6251981916564033, '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, 3, 0, -1, 0, 0, 0, 6, 0, 0, 0, 0, 4, 0, 0, -2, -6], 'aplist': [0, 0, 3, -1, 6, 0, 0, -2, 3, -1, 4, 4, 6, -10, 12, -6, 3, -4, 13, 3, -2, 8, -15, -12, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 308763, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '308763.t', 'trace_hash': 958794445693040152}
• 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': '0.18911140033858933264799961639', 'prec': 103}, 'conductor': 308763, 'gens': [], 'heights': [], 'lmfdb_label': '308763.t2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.85656662568437407743409006280', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4262665027374963097363602512223573494', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 308763.t2 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13033149
    {'degree': 2, 'field': [10, -1, 1], 'lmfdb_label': '308763.t2', 'torsion': [3]}
  • id: 13033150
    {'degree': 3, 'field': [-1, -17, -1, 1], 'lmfdb_label': '308763.t2', 'torsion': [2]}
  • id: 13033151
    {'degree': 6, 'field': [-689, -91, 442, 51, -56, -1, 1], 'lmfdb_label': '308763.t2', 'torsion': [2, 2]}
  • id: 13033152
    {'degree': 6, 'field': [272, 792, -216, 30, 33, -3, 1], 'lmfdb_label': '308763.t2', 'torsion': [3]}
  • id: 13033153
    {'degree': 6, 'field': [7318, -822, 578, 17, -5, -1, 1], 'lmfdb_label': '308763.t2', 'torsion': [6]}
  • id: 13033154
    {'degree': 12, 'field': [-1758782312, -329424304, 1061884960, -261312200, -44399940, -8816632, -2592328, -177280, -30914, -1816, -8, -6, 1], 'lmfdb_label': '308763.t2', 'torsion': [4]}
  • id: 13033155
    {'degree': 12, 'field': [60516, 133578, 114765, 36381, -12878, -4689, 2975, -1434, 135, -33, 14, -3, 1], 'lmfdb_label': '308763.t2', 'torsion': [3, 3]}
  • id: 13033156
    {'degree': 12, 'field': [16714359, 5376816, 7619427, 1839408, 1214350, 172528, 68789, -1962, 890, -330, 23, -2, 1], 'lmfdb_label': '308763.t2', 'torsion': [2, 6]}
  • id: 13033158
    {'degree': 18, 'field': [-48896784, 132558768, -116720112, 35760, 91513472, -99419224, 48388088, -4704456, -5698348, 4045976, -1646848, 236514, -22901, -1673, 3466, -291, 88, -5, 1], 'lmfdb_label': '308763.t2', 'torsion': [6]}
  • id: 13033157
    {'degree': 18, 'field': [10111857565864027, -3425193456031737, 1117787517220320, -49853805446948, -15189743076891, 2509774106721, 1570732135994, -254161436955, 8285616978, 5245002261, -462871170, -7090263, 6474174, -192339, -7857, 3830, -6, -3, 1], 'lmfdb_label': '308763.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: 7646455
    {'conductor': 308763, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '308763.t2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 7646456
    {'conductor': 308763, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '308763.t2', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7646457
    {'conductor': 308763, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '308763.t2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 7646458
    {'conductor': 308763, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '308763.t2', 'prime': 29, '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: 3603124
    {'adelic_gens': [[4, 3, 9, 7], [1249, 6, 1485, 19], [2257, 6, 2256, 7], [1917, 2, 358, 7], [1, 6, 0, 1], [1884, 371, 377, 753], [3, 4, 8, 11], [1, 0, 6, 1]], 'adelic_image': '2262.16.0.?', 'conductor': 308763, 'lmfdb_label': '308763.t2', 'prime': 0}
  • id: 1084896
    {'conductor': 308763, 'elladic_image': '3.4.0.1', 'lmfdb_label': '308763.t2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 308763.t does not appear in ec_padic