Elliptic curve data - 28830.y1

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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': '28830y', 'Clabel': '28830y2', 'Cnumber': 2, 'abc_quality': 1.0649290401717362, 'absD': 51296194612440000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 248, 'ainvs': [1, 1, 1, -6609096, -6542495607], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 31], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 28830, 'degree': 983040, 'elladic_images': ['8.48.0.204'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4707962740269401419474907808', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 24, 'isogeny_degrees': [1, 2], 'jinv': [1071679233972039583519, 1721868840000], 'lmfdb_iso': '28830.y', 'lmfdb_label': '28830.y1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -6609096, -6542495607], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0.f.1', '8.48.0.q.2', '124.24.0.?', '248.96.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '5.6494427851054834065662440406', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 31], [3, 4, 4805], [5, 6, 5766], [31, 272, 30]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.6122994729056535804651996997', 'prec': 100}, 'szpiro_ratio': 5.718618459156717, '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, -1, 1, -1, -1, 0, 1, 1, -1, -4, -1, 4, 0, 1, 1, 0, 1, 4, -1], 'aplist': [1, -1, -1, 0, -4, 4, 0, 4, -8, -4, 0, 4, 10, -4, 8, 4, -12, 4, -12, 8, 8, -8, -12, 0, -2], 'class_deg': 2, 'class_size': 2, 'conductor': 28830, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '28830.y', 'trace_hash': 1678138421644828631}
• 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': '0.0071432133985655737942546973231', 'prec': 110}, 'conductor': 28830, 'gens': [[39523, 7820633, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '5.6494427851054834065662440406', 'prec': 100}], 'lmfdb_label': '28830.y1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.094159486442223379607113107072', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '6.3833835759630774560421008374056347234', 'prec': 130}, 'tamagawa_product': 48, 'torsion_generators': [[-5933, 5929, 2]], 'xcoord_integral_points': [39523]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [16, 0], '3': [1, 0], '5': [1, 0], '7': [1, 3, 0], '11': [1, 0], '13': [1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': 'a', '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '28830.y1'}
• ec_torsion_growth •

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

  
  
  • id: 1446460
    {'degree': 2, 'field': [-31, 0, 1], 'lmfdb_label': '28830.y1', 'torsion': [2, 2]}
  • id: 1446461
    {'degree': 4, 'field': [31, 0, 0, 0, 1], 'lmfdb_label': '28830.y1', 'torsion': [4]}
  • id: 1446462
    {'degree': 4, 'field': [64, -16, -14, -2, 1], 'lmfdb_label': '28830.y1', 'torsion': [2, 4]}
  • id: 1446467
    {'degree': 8, 'field': [-70552, 1300, -2218, 1835, -914, -7, 7, -4, 1], 'lmfdb_label': '28830.y1', 'torsion': [6]}
  • id: 1446463
    {'degree': 8, 'field': [64, -16, 2, 26, -7, -10, 8, -4, 1], 'lmfdb_label': '28830.y1', 'torsion': [4, 4]}
  • id: 1446465
    {'degree': 8, 'field': [64, 0, -46, 0, 17, 0, 2, 0, 1], 'lmfdb_label': '28830.y1', 'torsion': [8]}
  • id: 1446464
    {'degree': 8, 'field': [64, 0, 46, 0, 17, 0, -2, 0, 1], 'lmfdb_label': '28830.y1', 'torsion': [8]}
  • id: 1446466
    {'degree': 8, 'field': [185636, 75632, 52184, 35752, 7368, -176, -164, -4, 1], 'lmfdb_label': '28830.y1', 'torsion': [2, 8]}
  • id: 1446468
    {'degree': 16, 'field': [15876, -27216, 23328, -23112, 17896, -6072, 936, 1180, -2507, 1484, -472, 92, 82, -76, 32, -8, 1], 'lmfdb_label': '28830.y1', 'torsion': [4, 8]}
  • id: 1446470
    {'degree': 16, 'field': [667964025, 0, -158374374, 0, 18299329, 0, -3106926, 0, 379668, 0, -14142, 0, -231, 0, -6, 0, 1], 'lmfdb_label': '28830.y1', 'torsion': [2, 6]}
  • id: 1446469
    {'degree': 16, 'field': [56539901556, -2124011808, -547881768, 670873464, -199428664, -38715952, 9035172, -85012, -112763, 30428, -3256, -4652, 910, 36, 12, -8, 1], 'lmfdb_label': '28830.y1', 'torsion': [4, 8]}
• 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: 670202
    {'conductor': 28830, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '28830.y1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
  • id: 670203
    {'conductor': 28830, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '28830.y1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 670204
    {'conductor': 28830, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '28830.y1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 670205
    {'conductor': 28830, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '28830.y1', 'prime': 31, '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: 1856924
    {'adelic_gens': [[5, 8, 172, 201], [1, 0, 8, 1], [3, 4, 244, 243], [24, 5, 91, 32], [8, 63, 247, 0], [5, 4, 244, 245], [241, 8, 240, 9], [1, 8, 0, 1]], 'adelic_image': '248.96.1.?', 'conductor': 28830, 'lmfdb_label': '28830.y1', 'prime': 0}
  • id: 130506
    {'conductor': 28830, 'elladic_image': '8.48.0.204', 'lmfdb_label': '28830.y1', 'modell_image': '2B', 'prime': 2}
• ec_padic •

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

  
  
  • id: 1390067
    {'lmfdb_iso': '28830.y', 'p': 11, 'prec': 20, 'unit': 18070056029018149573, 'val': 1}
  • id: 1390073
    {'lmfdb_iso': '28830.y', 'p': 13, 'prec': 20, 'unit': 1302708371497084594063, 'val': 1}
  • id: 1390076
    {'lmfdb_iso': '28830.y', 'p': 19, 'prec': 20, 'unit': 1396429459916042710835855, 'val': 1}
  • id: 1390079
    {'lmfdb_iso': '28830.y', 'p': 23, 'prec': 20, 'unit': 8622389850785128398042436, 'val': 1}
  • id: 1390072
    {'lmfdb_iso': '28830.y', 'p': 29, 'prec': 20, 'unit': 3631927058483178574917513046, 'val': 1}
  • id: 1390068
    {'lmfdb_iso': '28830.y', 'p': 37, 'prec': 20, 'unit': 267194295477643745886910466232, 'val': 1}
  • id: 1390070
    {'lmfdb_iso': '28830.y', 'p': 41, 'prec': 20, 'unit': 2409583877517146263535514910393, 'val': 1}
  • id: 1390071
    {'lmfdb_iso': '28830.y', 'p': 43, 'prec': 20, 'unit': 8035508899909822057972749609279, 'val': 1}
  • id: 1390081
    {'lmfdb_iso': '28830.y', 'p': 47, 'prec': 20, 'unit': 2115884908405317447901002478991, 'val': 1}
  • id: 1390077
    {'lmfdb_iso': '28830.y', 'p': 53, 'prec': 20, 'unit': 139124354219883631255027218125055, 'val': 1}
  • id: 1390075
    {'lmfdb_iso': '28830.y', 'p': 59, 'prec': 20, 'unit': 2780728766692390350055944303961304, 'val': 1}
  • id: 1390082
    {'lmfdb_iso': '28830.y', 'p': 61, 'prec': 20, 'unit': 667880940768417314386385339689552, 'val': 1}
  • id: 1390066
    {'lmfdb_iso': '28830.y', 'p': 67, 'prec': 20, 'unit': 41641716229925287584031114028315271, 'val': 1}
  • id: 1390069
    {'lmfdb_iso': '28830.y', 'p': 71, 'prec': 20, 'unit': 26391873695614839883595578929471635, 'val': 1}
  • id: 1390078
    {'lmfdb_iso': '28830.y', 'p': 73, 'prec': 20, 'unit': 101453703289487557219770188188930872, 'val': 1}
  • id: 1390074
    {'lmfdb_iso': '28830.y', 'p': 79, 'prec': 20, 'unit': 29150530892458900742751493450944931, 'val': 1}
  • id: 1390080
    {'lmfdb_iso': '28830.y', 'p': 83, 'prec': 20, 'unit': 471272013444462139348449113513569746, 'val': 1}
  • id: 1390065
    {'lmfdb_iso': '28830.y', 'p': 97, 'prec': 20, 'unit': 12106557348370236009574750430403081880, 'val': 1}