Elliptic curve data - 310464.cg1

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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': '310464cg', 'Clabel': '310464cg4', 'Cnumber': 4, 'abc_quality': 1.0343723816646346, 'absD': 45839843569837850284168445952, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 1848, 'ainvs': [0, 0, 0, -1129369836, 10358298308176], 'analytic_rank': 0, 'bad_primes': [2, 3, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 310464, 'degree': 283115520, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2059734672072832248020825546', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 58, 'isogeny_degrees': [1, 2, 4], 'jinv': [14171198121996897746, 4077720290568771], 'lmfdb_iso': '310464.cg', 'lmfdb_label': '310464.cg1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -640232, -139597332], 'min_quad_twist_disc': -168, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '24.12.0.bb.1', '56.12.0-4.c.1.4', '84.12.0.?', '88.12.0.?', '168.24.0.?', '264.24.0.?', '616.24.0.?', '1848.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7017537425523158715440380590', 'prec': 100}, 'szpiro_ratio': 5.863468009578754, '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, 0, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, -6, 0, 0, 0, -2, 0, 8, 0], 'aplist': [0, 0, -2, 0, -1, -6, -2, 8, -4, 2, -8, -6, -2, 8, 4, 2, -12, 10, -12, -12, -10, 8, 12, 10, 14], 'class_deg': 4, 'class_size': 4, 'conductor': 310464, 'isogeny_matrix': [[1, 2, 4, 4], [2, 1, 2, 2], [4, 2, 1, 4], [4, 2, 4, 1]], 'lmfdb_iso': '310464.cg', 'trace_hash': 848169671114930766}
• 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': '0.00022219683286024807279346051761', 'prec': 113}, 'conductor': 310464, 'gens': [], 'heights': [], 'lmfdb_label': '310464.cg1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.033394685212034859310673564143', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.53431496339255774897077702628909116557', 'prec': 133}, 'tamagawa_product': 64, 'torsion_generators': [[-37492, 0, 1]], 'xcoord_integral_points': [-37492]}
• lmfdb_label 310464.cg1 does not appear in ec_iwasawa
• ec_torsion_growth •

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

  
  
  • id: 13096657
    {'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [2, 2]}
  • id: 13096658
    {'degree': 2, 'field': [21, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [4]}
  • id: 13096659
    {'degree': 2, 'field': [462, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [4]}
  • id: 13096660
    {'degree': 4, 'field': [1849, 0, -2, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [2, 4]}
  • id: 13096664
    {'degree': 8, 'field': [-588, 0, -504, 0, 0, 0, 14, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [6]}
  • id: 13096661
    {'degree': 8, 'field': [2121, 6132, -6158, 72, -85, 56, -14, -4, 1], 'lmfdb_label': '310464.cg1', 'torsion': [2, 4]}
  • id: 13096662
    {'degree': 8, 'field': [14641, 0, -3036, 0, 188, 0, 36, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [8]}
  • id: 13096663
    {'degree': 8, 'field': [138384, 0, 14496, 0, 1033, 0, 34, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [8]}
  • id: 13096669
    {'degree': 16, 'field': [131769, 0, 69540, 0, 165160, 0, 26832, 0, 4974, 0, -68, 0, 36, 0, 0, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [12]}
  • id: 13096668
    {'degree': 16, 'field': [4700224, 0, -42330752, 0, 2441152, 0, 794752, 0, -160832, 0, -9128, 0, 1036, 0, -44, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [2, 6]}
  • id: 13096665
    {'degree': 16, 'field': [7134241, 0, -5062420, 0, 1267286, 0, -189024, 0, 26663, 0, 7656, 0, 914, 0, 44, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [4, 4]}
  • id: 13096667
    {'degree': 16, 'field': [8101377, -7492500, 6850152, -4010436, 2394195, -1129392, 532114, -191692, 64812, -19268, 6308, -1164, -37, 88, -6, -4, 1], 'lmfdb_label': '310464.cg1', 'torsion': [2, 8]}
  • id: 13096666
    {'degree': 16, 'field': [9443329, 0, 133168, 0, 1584620, 0, -136656, 0, 44390, 0, -2160, 0, 236, 0, 16, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [2, 8]}
  • id: 13096670
    {'degree': 16, 'field': [10032687, 13174812, 17237682, 10598364, 7543200, 1214892, 1984368, -10788, 232428, -4428, 12418, 1848, 378, -44, -12, 0, 1], 'lmfdb_label': '310464.cg1', 'torsion': [12]}
• 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: 7687959
    {'conductor': 310464, 'conductor_valuation': 6, 'discriminant_valuation': 17, 'j_denominator_valuation': 0, 'kodaira_symbol': -11, 'lmfdb_label': '310464.cg1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7687960
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 18, 'j_denominator_valuation': 12, 'kodaira_symbol': -16, 'lmfdb_label': '310464.cg1', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7687961
    {'conductor': 310464, 'conductor_valuation': 2, 'discriminant_valuation': 14, 'j_denominator_valuation': 8, 'kodaira_symbol': -12, 'lmfdb_label': '310464.cg1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
  • id: 7687962
    {'conductor': 310464, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '310464.cg1', 'prime': 11, 'reduction_type': -1, '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: 3613158
    {'adelic_gens': [[1, 0, 8, 1], [1, 8, 0, 1], [1841, 8, 1840, 9], [1, 4, 4, 17], [7, 6, 1842, 1843], [1616, 1477, 1085, 1056], [1688, 1323, 1253, 1058], [888, 1015, 1757, 1770], [263, 0, 0, 1847], [1231, 784, 700, 1287]], 'adelic_image': '1848.48.0.?', 'conductor': 310464, 'lmfdb_label': '310464.cg1', 'prime': 0}
  • id: 1089980
    {'conductor': 310464, 'elladic_image': '4.6.0.1', 'lmfdb_label': '310464.cg1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 310464.cg does not appear in ec_padic