Elliptic curve data - 4830.n3

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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
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '4830n', 'Clabel': '4830n4', 'Cnumber': 4, 'abc_quality': 1.0391907239763818, 'absD': 2509530875136386550792000, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 2760, 'ainvs': [1, 0, 1, -50621638, -158203299112], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 4830, 'degree': 1290240, 'elladic_images': ['4.12.0.7'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.4077290125320410568374289728', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 4, 'iso_nlabel': 13, 'isogeny_degrees': [1, 2, 4], 'jinv': [-14346048055032350809895395801, 2509530875136386550792000], 'lmfdb_iso': '4830.n', 'lmfdb_label': '4830.n3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -50621638, -158203299112], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.1', '20.24.0-20.h.1.2', '552.24.0.?', '2760.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.4077290125320410568374289728', 'prec': 100}, 'szpiro_ratio': 7.674223975578909, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [4]}
• 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, -1, -1, 1, -1, 4, 1, 6, 1, 1, 1, 2, -1, 0, 1], 'aplist': [-1, 1, 1, -1, 4, 6, 2, 0, 1, 6, 0, -6, -6, 12, 8, -10, 0, -2, 4, -12, -14, -4, 4, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 4830, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '4830.n', 'trace_hash': 1917107811384900595}
• 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': '0.0010966907692619363821660471482', 'prec': 110}, 'conductor': 4830, 'gens': [], 'heights': [], 'lmfdb_label': '4830.n3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.028032489129790679115020411962', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.3547290869024170456617146048179587841', 'prec': 130}, 'tamagawa_product': 1344, 'torsion_generators': [[20917, 2806397, 1]], 'xcoord_integral_points': [20917]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 2], '3': [3, 0], '5': [1, 0], '7': [2, 0], '23': [1, 0]}, 'iwp0': 11, 'lmfdb_label': '4830.n3'}
• ec_torsion_growth •

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

  
  
  • id: 251940
    {'degree': 2, 'field': [5, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [2, 4]}
  • id: 251941
    {'degree': 4, 'field': [-980, 0, -98, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [8]}
  • id: 251945
    {'degree': 8, 'field': [-972, 0, 531, 0, -108, 0, 0, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [12]}
  • id: 251942
    {'degree': 8, 'field': [3721, 122, 2, -250, 131, -10, 8, -4, 1], 'lmfdb_label': '4830.n3', 'torsion': [4, 4]}
  • id: 251944
    {'degree': 8, 'field': [216225, 0, 352320, 0, 6814, 0, -176, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [2, 8]}
  • id: 251943
    {'degree': 8, 'field': [220900, 0, -43300, 0, 2565, 0, -40, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [2, 8]}
  • id: 251947
    {'degree': 16, 'field': [32512804, 0, 21595936, 0, 2857033, 0, 950044, 0, 76240, 0, 10222, 0, 484, 0, 40, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [2, 12]}
  • id: 251946
    {'degree': 16, 'field': [13136804532810000, 0, 1436211068040000, 0, 60006438349200, 0, 1051723612800, 0, 3133525500, 0, -45793440, 0, -246372, 0, 168, 0, 1], 'lmfdb_label': '4830.n3', 'torsion': [16]}
• 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: 92890
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '4830.n3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 92891
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 28, 'j_denominator_valuation': 28, 'kodaira_symbol': 32, 'lmfdb_label': '4830.n3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 28}
  • id: 92892
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '4830.n3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 92893
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '4830.n3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 92894
    {'conductor': 4830, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '4830.n3', 'prime': 23, 'reduction_type': 1, '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: 1695499
    {'adelic_gens': [[1841, 8, 1844, 33], [1, 0, 8, 1], [2419, 2418, 1738, 355], [1, 8, 0, 1], [1, 4, 4, 17], [7, 6, 2754, 2755], [1728, 353, 1753, 1800], [1108, 1, 2231, 6], [1201, 8, 2044, 33], [2753, 8, 2752, 9]], 'adelic_image': '2760.48.0.?', 'conductor': 4830, 'lmfdb_label': '4830.n3', 'prime': 0}
  • id: 24004
    {'conductor': 4830, 'elladic_image': '4.12.0.7', 'lmfdb_label': '4830.n3', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 4830.n does not appear in ec_padic