Elliptic curve data - 5850.cc1

Formats: - HTML - YAML - JSON - 2024-05-02T02:50:19.327017

• 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': '5850by', 'Clabel': '5850by2', 'Cnumber': 2, 'abc_quality': 1.0017985914326453, 'absD': 202080440250000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 520, 'ainvs': [1, -1, 1, -792680, -270580053], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 5850, 'degree': 143360, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.1810527203113086083083126827', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 54, 'isogeny_degrees': [1, 2], 'jinv': [38686490446661, 141927552], 'lmfdb_iso': '5850.cc', 'lmfdb_label': '5850.cc1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -3523, 79937], 'min_quad_twist_disc': -15, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '40.6.0.b.1', '104.6.0.?', '260.6.0.?', '520.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.42466814165167848166012056432', 'prec': 103}, 'szpiro_ratio': 6.036654099014095, '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, 0, 0, 4, 1, 0, 0, 6, 0, -1, 4, 0, 1, -4, 0, 2, 0], 'aplist': [1, 0, 0, 4, 6, -1, -4, 2, -6, 10, 4, 6, -10, 0, 8, -6, 6, -6, 12, 0, -2, -8, -4, -14, -14], 'class_deg': 2, 'class_size': 2, 'conductor': 5850, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '5850.cc', 'trace_hash': 1684431011421575498}
• 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': '0.012751511815751102548912719789', 'prec': 107}, 'conductor': 5850, 'gens': [], 'heights': [], 'lmfdb_label': '5850.cc1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.16003719904391404445616573169', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.4810415732295932447726404872889711436', 'prec': 130}, 'tamagawa_product': 112, 'torsion_generators': [[-2149, 2145, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 1], '3': 'a', '5': 'a', '7': [4, 0], '13': [0, 0]}, 'iwp0': 11, 'lmfdb_label': '5850.cc1'}
• ec_torsion_growth •

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

  
  
  • id: 305441
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '5850.cc1', 'torsion': [2, 2]}
  • id: 305442
    {'degree': 4, 'field': [90, 0, 75, 0, 1], 'lmfdb_label': '5850.cc1', 'torsion': [4]}
  • id: 305445
    {'degree': 8, 'field': [-2894, 1484, -1658, 347, -170, -7, 7, -4, 1], 'lmfdb_label': '5850.cc1', 'torsion': [6]}
  • id: 305444
    {'degree': 8, 'field': [16, 0, 32, 0, -66, 0, 8, 0, 1], 'lmfdb_label': '5850.cc1', 'torsion': [2, 4]}
  • id: 305443
    {'degree': 8, 'field': [27556, 0, 3636, 0, 461, 0, 36, 0, 1], 'lmfdb_label': '5850.cc1', 'torsion': [2, 4]}
  • id: 305446
    {'degree': 16, 'field': [65536, 0, 16384, 0, 179840, 0, -113664, 0, 115784, 0, 5856, 0, 2750, 0, -56, 0, 1], 'lmfdb_label': '5850.cc1', 'torsion': [8]}
  • id: 305447
    {'degree': 16, 'field': [30206016, 0, 24231744, 0, 3352464, 0, -1056552, 0, 49464, 0, -3714, 0, 736, 0, -48, 0, 1], 'lmfdb_label': '5850.cc1', 'torsion': [2, 6]}
• 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: 115876
    {'conductor': 5850, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '5850.cc1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
  • id: 115877
    {'conductor': 5850, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '5850.cc1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 115878
    {'conductor': 5850, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '5850.cc1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 115879
    {'conductor': 5850, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '5850.cc1', 'prime': 13, 'reduction_type': -1, '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: 1702284
    {'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [1, 2, 2, 5], [41, 4, 82, 9], [1, 4, 0, 1], [457, 66, 64, 455], [2, 1, 259, 0], [517, 4, 516, 5], [108, 1, 103, 0]], 'adelic_image': '520.12.0.?', 'conductor': 5850, 'lmfdb_label': '5850.cc1', 'prime': 0}
  • id: 28870
    {'conductor': 5850, 'elladic_image': '2.3.0.1', 'lmfdb_label': '5850.cc1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 5850.cc does not appear in ec_padic