Elliptic curve data - 1210.l1

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

  
  {'Ciso': '1210l', 'Clabel': '1210l1', 'Cnumber': 1, 'abc_quality': 0.9706848607140809, 'absD': 829997587232000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 660, 'ainvs': [1, 0, 0, -73510, -7801628], 'analytic_rank': 0, 'bad_primes': [2, 5, 11], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 1210, 'degree': 6336, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.6573271292710595966681066235', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1, 3], 'jinv': [-1693700041, 32000], 'lmfdb_iso': '1210.l', 'lmfdb_label': '1210.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -608, 5806], 'min_quad_twist_disc': -11, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '20.2.0.a.1', '33.8.0-3.a.1.2', '60.8.0.a.1', '660.16.0.?'], '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, 4, 605], [3, 2, 242], [5, 6, 242], [11, 32, 10]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.34091893139424919005017969147', 'prec': 107}, 'szpiro_ratio': 6.376284209491395, '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, 1, 1, 1, 1, 1, 1, 1, -2, 1, 0, 1, 4, 1, 1, 1, 0, -2, 4, 1], 'aplist': [1, 1, 1, 1, 0, 4, 0, 4, 0, 6, -10, 8, 3, 1, 9, -12, 6, -11, -1, -6, -8, -14, 12, -15, 8], 'class_deg': 3, 'class_size': 2, 'conductor': 1210, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '1210.l', 'trace_hash': 1021591717406410515}
• 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': '0.036346612936150542716619167472', 'prec': 107}, 'conductor': 1210, 'gens': [], 'heights': [], 'lmfdb_label': '1210.l1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.14480927696873879935931339168', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4754226472497311846235214003565615261', 'prec': 130}, 'tamagawa_product': 24, 'torsion_generators': [], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [1, 0], '3': [4, 0], '5': [1, 0], '7': [2, 0], '11': 'a', '13': [0, 0], '17': [0, 0, 0], '19': [0, 0], '23': [0, 0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [2, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '1210.l1'}
• ec_torsion_growth •

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

  
  
  • id: 60018
    {'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '1210.l1', 'torsion': [3]}
  • id: 60019
    {'degree': 3, 'field': [-20, 4, -1, 1], 'lmfdb_label': '1210.l1', 'torsion': [2]}
  • id: 60021
    {'degree': 6, 'field': [-6, 6, -8, 3, 1, -3, 1], 'lmfdb_label': '1210.l1', 'torsion': [3]}
  • id: 60022
    {'degree': 6, 'field': [5, -5, 14, -19, 12, -3, 1], 'lmfdb_label': '1210.l1', 'torsion': [6]}
  • id: 60020
    {'degree': 6, 'field': [5, 0, 71, 0, -13, 0, 1], 'lmfdb_label': '1210.l1', 'torsion': [2, 2]}
  • id: 60024
    {'degree': 12, 'field': [36, -36, -12, -12, 52, -18, 23, -39, 18, -9, 8, -3, 1], 'lmfdb_label': '1210.l1', 'torsion': [3, 3]}
  • id: 60025
    {'degree': 12, 'field': [2369, -4706, 3827, -522, -1077, 452, 86, -36, -13, 14, 7, -2, 1], 'lmfdb_label': '1210.l1', 'torsion': [2, 6]}
  • id: 60023
    {'degree': 12, 'field': [3712, -9504, -14152, -8624, -866, 1276, 954, 176, -21, -44, -8, 0, 1], 'lmfdb_label': '1210.l1', 'torsion': [4]}
  • id: 60027
    {'degree': 18, 'field': [33016, 1040, -19496, -11394, 27430, -12076, -7046, -3118, 10396, -527, -3715, 1924, -828, 208, 66, -50, 20, -7, 1], 'lmfdb_label': '1210.l1', 'torsion': [6]}
  • id: 60026
    {'degree': 18, 'field': [92420, -257460, 242740, -149838, 206322, -198108, 90769, -58569, 55714, -23655, 8980, -6780, 2805, -867, 403, -117, 21, -6, 1], 'lmfdb_label': '1210.l1', '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: 17781
    {'conductor': 1210, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '1210.l1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
  • id: 17782
    {'conductor': 1210, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '1210.l1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
  • id: 17783
    {'conductor': 1210, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '1210.l1', 'prime': 11, '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: 1672174
    {'adelic_gens': [[3, 4, 8, 11], [4, 3, 9, 7], [1, 0, 6, 1], [119, 0, 0, 659], [655, 6, 654, 7], [606, 121, 385, 111], [331, 66, 33, 199], [397, 66, 231, 199], [1, 6, 0, 1]], 'adelic_image': '660.16.0.?', 'conductor': 1210, 'lmfdb_label': '1210.l1', 'prime': 0}
  • id: 5791
    {'conductor': 1210, 'elladic_image': '3.4.0.1', 'lmfdb_label': '1210.l1', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 1210.l does not appear in ec_padic