Elliptic curve data - 4800.ce2

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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': '4800s', 'Clabel': '4800s1', 'Cnumber': 1, 'abc_quality': 1.029908311854535, 'absD': 11059200, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 120, 'ainvs': [0, 1, 0, -53, -237], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 4800, 'degree': 1152, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.052484306877396647329693894065', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 56, 'isogeny_degrees': [1, 3], 'jinv': [-40960, 27], 'lmfdb_iso': '4800.ce', 'lmfdb_label': '4800.ce2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -13, -23], 'min_quad_twist_disc': 8, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '6.24.0.c.1', '120.48.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 1600], [5, 10, 192]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0244270558482229427572034698', 'prec': 103}, 'szpiro_ratio': 2.8672240392510737, '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, 1, 0, 0, 0, 1, 0, 1, 0, -6, 0, 5, 0, 0, 0, 6, 0, -5, 0], 'aplist': [0, 1, 0, 1, -6, 5, 6, -5, 6, 6, -1, 2, 0, -1, -6, -12, 6, 13, 11, 0, -2, 8, -6, 0, 7], 'class_deg': 3, 'class_size': 2, 'conductor': 4800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '4800.ce', 'trace_hash': 2139284617222418422}
• 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': '0.90035278083595497257930160247', 'prec': 103}, 'conductor': 4800, 'gens': [], 'heights': [], 'lmfdb_label': '4800.ce2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.85798714531928150501018134576', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5739614359578445150305440372638420958', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [3, 0], '5': 'a', '7': [2, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '4800.ce2'}
• ec_torsion_growth •

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

  
  
  • id: 249311
    {'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '4800.ce2', 'torsion': [3]}
  • id: 249312
    {'degree': 3, 'field': [-3, -3, -1, 1], 'lmfdb_label': '4800.ce2', 'torsion': [2]}
  • id: 249315
    {'degree': 6, 'field': [-10, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '4800.ce2', 'torsion': [6]}
  • id: 249313
    {'degree': 6, 'field': [3, 3, -2, -3, 4, -3, 1], 'lmfdb_label': '4800.ce2', 'torsion': [2, 2]}
  • id: 249314
    {'degree': 6, 'field': [30, 0, 40, 0, 10, 0, 1], 'lmfdb_label': '4800.ce2', 'torsion': [6]}
  • id: 249316
    {'degree': 12, 'field': [-675, 0, -500, 0, -225, 0, -100, 0, -25, 0, 0, 0, 1], 'lmfdb_label': '4800.ce2', 'torsion': [4]}
  • id: 249317
    {'degree': 12, 'field': [81, 54, 171, -450, 240, -66, 121, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '4800.ce2', 'torsion': [6, 6]}
  • id: 249318
    {'degree': 18, 'field': [-3969000, 0, 7290000, 0, -4698000, 0, 1754100, 0, -513000, 0, 79200, 0, -9100, 0, 660, 0, -30, 0, 1], 'lmfdb_label': '4800.ce2', '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: 91963
    {'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 14, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '4800.ce2', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
  • id: 91964
    {'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4800.ce2', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 91965
    {'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '4800.ce2', 'prime': 5, 'reduction_type': 0, '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: 1695200
    {'adelic_gens': [[31, 0, 0, 1], [21, 16, 25, 21], [1, 0, 6, 1], [59, 0, 0, 119], [115, 6, 114, 7], [25, 6, 24, 7], [115, 114, 102, 91], [2, 5, 1, 3], [1, 6, 0, 1]], 'adelic_image': '120.48.0.?', 'conductor': 4800, 'lmfdb_label': '4800.ce2', 'prime': 0}
  • id: 23714
    {'conductor': 4800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4800.ce2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 4800.ce does not appear in ec_padic