Elliptic curve data - 227430.ba6

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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
  intrinsic_torsion	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
  squarefree_disc	boolean
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '227430er', 'Clabel': '227430er2', 'Cnumber': 2, 'abc_quality': 1.0136164980344768, 'absD': 306275848045382250000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 7980, 'ainvs': [1, -1, 0, -1876365, 519819925], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 19], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 227430, 'degree': 9289728, 'elladic_images': ['2.6.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.6279109056136962559726538602', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 26, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [21302308926361, 8930250000], 'lmfdb_iso': '227430.ba', 'lmfdb_label': '227430.ba6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -578, 2756], 'min_quad_twist_disc': 57, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '12.48.0.a.1', '20.12.0.a.1', '57.8.0-3.a.1.2', '60.96.1.e.4', '84.96.1.?', '114.48.0.?', '228.96.0.?', '420.192.5.?', '532.12.0.?', '1140.192.1.?', '1596.192.1.?', '2660.24.0.?', '7980.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 3249], [3, 2, 5054], [5, 6, 45486], [7, 8, 32490], [19, 182, 630]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.60638527169642118027051752579', 'prec': 103}, 'szpiro_ratio': 4.454798217201273, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -1, 0, 1, -1, 0, 1, 0, 0, -2, -1, 0, 1, 6, 0, 0, -1], 'aplist': [-1, 0, -1, 1, 0, -2, 6, 0, 0, 6, 4, 10, -6, -4, 0, -6, -12, -10, 4, 12, -10, -8, -12, -6, 10], 'class_deg': 12, 'class_size': 8, 'conductor': 227430, 'isogeny_matrix': [[1, 2, 4, 3, 4, 6, 12, 12], [2, 1, 2, 6, 2, 3, 6, 6], [4, 2, 1, 12, 4, 6, 12, 3], [3, 6, 12, 1, 12, 2, 4, 4], [4, 2, 4, 12, 1, 6, 3, 12], [6, 3, 6, 2, 6, 1, 2, 2], [12, 6, 12, 4, 3, 2, 1, 4], [12, 6, 3, 4, 12, 2, 4, 1]], 'lmfdb_iso': '227430.ba', 'trace_hash': 1499876670020943450}
• 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': '0.0052170570936708962794773454615', 'prec': 110}, 'conductor': 227430, 'gens': [], 'heights': [], 'lmfdb_label': '227430.ba6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.15585283157280313570222566586', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.2468226525824250856178053268824791188', 'prec': 130}, 'tamagawa_product': 128, 'torsion_generators': [[290, -145, 1], [1202, -601, 1]], 'xcoord_integral_points': [290, 1202]}
• lmfdb_label 227430.ba6 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 9874983
    {'conductor': 227430, 'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 6]}
  • id: 9874986
    {'conductor': 227430, 'degree': 4, 'field': [-21, 63, -26, -1, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 12]}
  • id: 9874984
    {'conductor': 227430, 'degree': 4, 'field': [169, 0, 31, 0, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 4]}
  • id: 9874985
    {'conductor': 227430, 'degree': 4, 'field': [1444, 0, 209, 0, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 4]}
  • id: 9874987
    {'conductor': 227430, 'degree': 6, 'field': [1, 19, 96, -21, 24, -1, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 6]}
  • id: 9874989
    {'conductor': 227430, 'degree': 8, 'field': [57769, 12310, -11204, -2162, 957, 146, -44, -4, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 12]}
  • id: 9874988
    {'conductor': 227430, 'degree': 8, 'field': [158904, 18000, -16974, -2022, 937, 86, -24, -4, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 12]}
  • id: 9874990
    {'conductor': 227430, 'degree': 12, 'field': [784, 9408, 35672, -23520, 3528, 546, -1163, 219, 90, 39, -10, -3, 1], 'lmfdb_label': '227430.ba6', 'torsion': [6, 6]}
  • id: 9874994
    {'conductor': 227430, 'degree': 16, 'field': [-553539, 1725444, -650580, -4900392, 5683141, -1159516, -2151652, 2493492, -1240622, 194632, 82438, -40496, 3883, 840, -142, -4, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 24]}
  • id: 9874991
    {'conductor': 227430, 'degree': 16, 'field': [1157776, 0, 4313420, 0, 5582273, 0, 3113664, 0, 764144, 0, 87426, 0, 4736, 0, 116, 0, 1], 'lmfdb_label': '227430.ba6', 'torsion': [4, 12]}
  • id: 9874992
    {'conductor': 227430, 'degree': 16, 'field': [1053151501, -771787672, 1002205268, -496459308, 340583318, -120233492, 56329084, -15089004, 5267983, -1070532, 289276, -43300, 9158, -924, 152, -8, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 8]}
  • id: 9874993
    {'conductor': 227430, 'degree': 16, 'field': [112696297336, -39201890000, 52160179932, -3138084628, -501558783, -3656930532, 2164169644, -407148844, 83496540, -7658576, -9758, 113196, -10068, 1708, 72, -4, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 8]}
  • id: 9874995
    {'conductor': 227430, 'degree': 18, 'field': [190204949952, 321995290176, 50619585744, -76852545984, -15652849572, 8745907968, 1685525809, -549492609, -111751188, 13807148, 5502393, 334899, -206904, -29673, 5913, 686, -132, -3, 1], 'lmfdb_label': '227430.ba6', 'torsion': [2, 18]}
• 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: 5640357
    {'conductor': 227430, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '227430.ba6', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5640358
    {'conductor': 227430, 'conductor_valuation': 2, 'discriminant_valuation': 12, 'j_denominator_valuation': 6, 'kodaira_symbol': -10, 'lmfdb_label': '227430.ba6', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 5640359
    {'conductor': 227430, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '227430.ba6', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 5640360
    {'conductor': 227430, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '227430.ba6', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 5640361
    {'conductor': 227430, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '227430.ba6', 'prime': 19, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
• ec_galrep •

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

  
  
  • id: 3114371
    {'adelic_gens': [[9, 4, 7964, 7973], [7969, 12, 7968, 13], [1, 0, 12, 1], [3779, 0, 0, 7979], [1597, 5472, 342, 913], [6727, 6726, 6954, 1255], [1, 12, 0, 1], [3991, 5472, 0, 1], [6573, 2090, 5738, 417]], 'adelic_image': '7980.384.5.?', 'conductor': 227430, 'lmfdb_label': '227430.ba6', 'prime': 0}
  • id: 830642
    {'conductor': 227430, 'elladic_image': '2.6.0.1', 'lmfdb_label': '227430.ba6', 'modell_image': '2Cs', 'prime': 2}
  • id: 830643
    {'conductor': 227430, 'elladic_image': '3.4.0.1', 'lmfdb_label': '227430.ba6', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 227430.ba does not appear in ec_padic