Elliptic curve data - 630.d3

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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': '630e', 'Clabel': '630e2', 'Cnumber': 2, 'abc_quality': 1.02632404766684, 'absD': 89302500, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 168, 'ainvs': [1, -1, 0, -159, 665], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 630, 'degree': 256, 'elladic_images': ['8.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.24172022566871843738671254202', 'prec': 97}, 'faltings_index': 1, 'faltings_ratio': 2, 'intrinsic_torsion': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [611960049, 122500], 'lmfdb_iso': '630.d', 'lmfdb_label': '630.d3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -18, -19], 'min_quad_twist_disc': -3, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '8.12.0.a.1', '12.12.0-2.a.1.1', '24.24.0-8.a.1.2', '28.12.0.b.1', '56.24.0.d.1', '84.24.0.?', '168.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 24, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.22625814982945270105876354109', 'prec': 97}, 'semistable': False, 'serre_invariants': [[2, 4, 9], [3, 6, 70], [5, 6, 126], [7, 8, 90]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.30758591866533640831091007644', 'prec': 97}, 'szpiro_ratio': 4.16149817903497, '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, -4, 0, -6, 1, 0, 1, -2, 0, 0, 1], 'aplist': [-1, 0, 1, -1, -4, -6, -2, 0, 0, -6, 8, -10, -2, 4, -8, 2, 8, -14, -12, 16, 2, -8, -8, -10, 2], 'class_deg': 4, 'class_size': 4, 'conductor': 630, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '630.d', 'trace_hash': 2014449972809114506}
• 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': '0.61665815564033798011399868560', 'prec': 97}, 'conductor': 630, 'gens': [[1, 22, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.22625814982945270105876354109', 'prec': 97}], 'lmfdb_label': '630.d3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.8098438078040272002312179947', 'prec': 97}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 97}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6379676457361231357899833054372633572', 'prec': 127}, 'tamagawa_product': 64, 'torsion_generators': [[-14, 7, 1], [10, -5, 1]], 'xcoord_integral_points': [-14, -11, -4, 1, 4, 10, 11, 16, 31, 35, 106, 136, 7591]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 0], '3': 'a', '5': [2, 0], '7': [1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '630.d3'}
• ec_torsion_growth •

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

  
  
  • id: 28961
    {'degree': 4, 'field': [4, 0, -10, 0, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 4]}
  • id: 28960
    {'degree': 4, 'field': [4, 0, 2, 0, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 4]}
  • id: 28959
    {'degree': 4, 'field': [22, 2, -1, -2, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 4]}
  • id: 28962
    {'degree': 8, 'field': [-48, -12, 0, -24, 12, 18, -6, -3, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 6]}
  • id: 28963
    {'degree': 16, 'field': [256, 0, 0, 0, -16, 0, 0, 0, -15, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '630.d3', 'torsion': [4, 4]}
  • id: 28965
    {'degree': 16, 'field': [256, 0, 512, 0, 1440, 0, -1088, 0, 404, 0, -272, 0, 90, 0, 8, 0, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 8]}
  • id: 28966
    {'degree': 16, 'field': [400, 0, 3456, 0, 5000, 0, -12064, 0, 5760, 0, -976, 0, 114, 0, -16, 0, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 8]}
  • id: 28964
    {'degree': 16, 'field': [13024, -20288, 6896, 9072, -6276, 1328, -868, -2168, 2885, -2030, 1496, -710, 337, -98, 32, -4, 1], 'lmfdb_label': '630.d3', 'torsion': [2, 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: 7572
    {'conductor': 630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '630.d3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 7573
    {'conductor': 630, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '630.d3', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7574
    {'conductor': 630, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '630.d3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7575
    {'conductor': 630, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '630.d3', 'prime': 7, '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: 1668733
    {'adelic_gens': [[163, 114, 78, 55], [55, 0, 0, 167], [165, 4, 164, 5], [85, 114, 0, 1], [127, 114, 0, 1], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '168.48.0.?', 'conductor': 630, 'lmfdb_label': '630.d3', 'prime': 0}
  • id: 2827
    {'conductor': 630, 'elladic_image': '8.12.0.3', 'lmfdb_label': '630.d3', 'modell_image': '2Cs', 'prime': 2}
• ec_padic •

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

  
  
  • id: 11047
    {'lmfdb_iso': '630.d', 'p': 11, 'prec': 20, 'unit': 54278327904193264523, 'val': 1}
  • id: 11053
    {'lmfdb_iso': '630.d', 'p': 13, 'prec': 20, 'unit': 330713228541824889957, 'val': 1}
  • id: 11055
    {'lmfdb_iso': '630.d', 'p': 17, 'prec': 20, 'unit': 25470346007305501108896, 'val': 1}
  • id: 11052
    {'lmfdb_iso': '630.d', 'p': 29, 'prec': 20, 'unit': 1731462068900662415185047842, 'val': 1}
  • id: 11063
    {'lmfdb_iso': '630.d', 'p': 31, 'prec': 20, 'unit': 2068673686206090319024534551, 'val': 1}
  • id: 11048
    {'lmfdb_iso': '630.d', 'p': 37, 'prec': 20, 'unit': 566444294299621368258842608090, 'val': 1}
  • id: 11050
    {'lmfdb_iso': '630.d', 'p': 41, 'prec': 20, 'unit': 2235016432171041432797113331131, 'val': 1}
  • id: 11051
    {'lmfdb_iso': '630.d', 'p': 43, 'prec': 20, 'unit': 356552136630161480505746722437, 'val': 1}
  • id: 11061
    {'lmfdb_iso': '630.d', 'p': 47, 'prec': 20, 'unit': 25340501293468508691283046922256, 'val': 1}
  • id: 11057
    {'lmfdb_iso': '630.d', 'p': 53, 'prec': 20, 'unit': 442845106757916836450614728247553, 'val': 1}
  • id: 11058
    {'lmfdb_iso': '630.d', 'p': 59, 'prec': 20, 'unit': 2986330513467560550231949908423389, 'val': 1}
  • id: 11062
    {'lmfdb_iso': '630.d', 'p': 61, 'prec': 20, 'unit': 8253601287980713967062515804843226, 'val': 1}
  • id: 11056
    {'lmfdb_iso': '630.d', 'p': 67, 'prec': 20, 'unit': 48396035054180677083469969082938125, 'val': 1}
  • id: 11049
    {'lmfdb_iso': '630.d', 'p': 71, 'prec': 20, 'unit': 122600891292098380227542160228902601, 'val': 1}
  • id: 11059
    {'lmfdb_iso': '630.d', 'p': 73, 'prec': 20, 'unit': 84494834529053307765437188235879012, 'val': 1}
  • id: 11054
    {'lmfdb_iso': '630.d', 'p': 79, 'prec': 20, 'unit': 548941634178946357556689409536421299, 'val': 1}
  • id: 11046
    {'lmfdb_iso': '630.d', 'p': 83, 'prec': 20, 'unit': 585637126630912634185776769851544264, 'val': 1}
  • id: 11060
    {'lmfdb_iso': '630.d', 'p': 89, 'prec': 20, 'unit': 2142886038635273818943332727895644400, 'val': 1}
  • id: 11045
    {'lmfdb_iso': '630.d', 'p': 97, 'prec': 20, 'unit': 45666372340365646181402495336500262333, 'val': 1}