Elliptic curve data - 30258.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
  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': '30258g', 'Clabel': '30258g4', 'Cnumber': 4, 'abc_quality': 0.9826480023940802, 'absD': 1863007309180665378, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 984, 'ainvs': [1, -1, 0, -6641946, 6589902874], 'analytic_rank': 0, 'bad_primes': [2, 3, 41], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 30258, 'degree': 1290240, 'elladic_images': ['8.12.0.11'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.5692343288590502035664463835', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [9357915116017, 538002], 'lmfdb_iso': '30258.f', 'lmfdb_label': '30258.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -439, -3577], 'min_quad_twist_disc': -123, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '8.12.0.m.1', '12.12.0-4.c.1.1', '24.24.0-8.m.1.3', '328.24.0.?', '984.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 15129], [3, 8, 3362], [41, 882, 18]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.16314215117284145593544207852', 'prec': 103}, 'szpiro_ratio': 5.693264773096239, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
• 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, 2, 0, -4, -1, 0, -2, -4, 0, -2, 4, 0, 1, 2, 0, 4, 2], 'aplist': [-1, 0, 2, -4, -4, -2, 2, 4, 0, -6, -8, -2, 0, 4, 12, -6, 4, -10, -12, -12, -6, -12, -12, 2, -10], 'class_deg': 4, 'class_size': 4, 'conductor': 30258, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '30258.f', 'trace_hash': 1894942897061371961}
• 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': '0.0058666667129431695823223428295', 'prec': 110}, 'conductor': 30258, 'gens': [], 'heights': [], 'lmfdb_label': '30258.f1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.24953081966528905617804215258', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.49906163933057811235608430514971781348', 'prec': 133}, 'tamagawa_product': 8, 'torsion_generators': [[5987, -5987, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [4, 0], '3': 'a', '41': 'a'}, 'iwp0': 3, 'lmfdb_label': '30258.f1'}
• ec_torsion_growth •

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

  
  
  • id: 1512231
    {'degree': 2, 'field': [-246, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [4]}
  • id: 1512229
    {'degree': 2, 'field': [-82, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [2, 2]}
  • id: 1512230
    {'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [4]}
  • id: 1512232
    {'degree': 4, 'field': [1681, 0, -164, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [2, 4]}
  • id: 1512236
    {'degree': 8, 'field': [-137108, 31757, -33002, 2489, -1241, -7, 7, -4, 1], 'lmfdb_label': '30258.f1', 'torsion': [6]}
  • id: 1512234
    {'degree': 8, 'field': [400, 1040, -656, -640, 306, 94, -41, -2, 1], 'lmfdb_label': '30258.f1', 'torsion': [8]}
  • id: 1512235
    {'degree': 8, 'field': [1156, 0, 224, 0, 270, 0, 32, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [8]}
  • id: 1512233
    {'degree': 8, 'field': [107584, 0, 0, 0, 328, 0, 0, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [2, 4]}
  • id: 1512238
    {'degree': 16, 'field': [-55368, -81648, 452472, 113040, -1119188, 553392, 513288, -412064, -48406, 96148, -8698, -8756, 1503, 324, -70, -4, 1], 'lmfdb_label': '30258.f1', 'torsion': [2, 8]}
  • id: 1512241
    {'degree': 16, 'field': [6441444, 0, 3413421, 0, 1486026, 0, 209547, 0, -3861, 0, -2745, 0, -261, 0, -6, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [12]}
  • id: 1512240
    {'degree': 16, 'field': [12845056, 0, -6801408, 0, -2385920, 0, 145408, 0, 116352, 0, -11744, 0, -368, 0, -18, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [2, 6]}
  • id: 1512239
    {'degree': 16, 'field': [22212369, 0, 4528884, 0, 1560136, 0, 58968, 0, 19935, 0, -1256, 0, 216, 0, -12, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [2, 8]}
  • id: 1512237
    {'degree': 16, 'field': [47458321, 0, 6751220, 0, -210730, 0, 221712, 0, 25931, 0, -2640, 0, -154, 0, -4, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [4, 4]}
  • id: 1512242
    {'degree': 16, 'field': [927567936, 0, -607564152, 0, 542786868, 0, -35086608, 0, 275508, 0, -16764, 0, -540, 0, 0, 0, 1], 'lmfdb_label': '30258.f1', 'torsion': [12]}
• 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: 704829
    {'conductor': 30258, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '30258.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 704830
    {'conductor': 30258, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '30258.f1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 704831
    {'conductor': 30258, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '30258.f1', 'prime': 41, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  
  • id: 1866229
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 978, 979], [619, 288, 474, 949], [655, 0, 0, 983], [140, 327, 969, 650], [977, 8, 976, 9], [616, 459, 537, 238]], 'adelic_image': '984.48.0.?', 'conductor': 30258, 'lmfdb_label': '30258.f1', 'prime': 0}
  • id: 136004
    {'conductor': 30258, 'elladic_image': '8.12.0.11', 'lmfdb_label': '30258.f1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 30258.f does not appear in ec_padic