Elliptic curve data - 210.e1

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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': '210e', 'Clabel': '210e7', 'Cnumber': 7, 'abc_quality': 1.074666741320478, 'absD': 360150, 'adelic_genus': 13, 'adelic_index': 768, 'adelic_level': 3360, 'ainvs': [1, 0, 0, -1920800, -1024800150], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7], 'class_deg': 16, 'class_size': 8, 'cm': 0, 'conductor': 210, 'degree': 2048, 'elladic_images': ['16.96.0.149'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'faltings_index': 6, 'faltings_ratio': 16, 'iso_nlabel': 4, 'isogeny_degrees': [1, 2, 4, 8, 16], 'jinv': [783736670177727068275201, 360150], 'lmfdb_iso': '210.e', 'lmfdb_label': '210.e1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1920800, -1024800150], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.48.0-8.bb.2.3', '16.96.0-16.v.2.5', '24.96.0-24.bl.2.7', '48.192.1-48.dq.1.2', '160.192.2.?', '224.192.1.?', '480.384.5.?', '560.192.2.?', '672.384.5.?', '1120.384.5.?', '1680.384.5.?', '3360.768.13.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'serre_invariants': [[2, 4, 3], [3, 4, 70], [5, 6, 42], [7, 8, 30]], 'sha': 16, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7944294168955630469530382474', 'prec': 100}, 'szpiro_ratio': 10.289368545679395, '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, 1, 1, 1, 1, 1, -1, 1, 1, 1, -4, 1, -2, -1, 1, 1, 2, 1, 4, 1], 'aplist': [1, 1, 1, -1, -4, -2, 2, 4, -8, -2, 0, 6, -6, -4, 0, -10, 12, 14, -12, -8, 10, 16, -12, 10, 2], 'class_deg': 16, 'class_size': 8, 'conductor': 210, 'isogeny_matrix': [[1, 2, 4, 16, 4, 8, 16, 8], [2, 1, 2, 8, 2, 4, 8, 4], [4, 2, 1, 16, 4, 8, 16, 8], [16, 8, 16, 1, 4, 2, 4, 8], [4, 2, 4, 4, 1, 2, 4, 2], [8, 4, 8, 2, 2, 1, 2, 4], [16, 8, 16, 4, 4, 2, 1, 8], [8, 4, 8, 8, 2, 4, 8, 1]], 'lmfdb_iso': '210.e', 'trace_hash': 2192440699906191649}
• 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': '0.027629842682292462198446106698', 'prec': 107}, 'conductor': 210, 'gens': [], 'heights': [], 'lmfdb_label': '210.e1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12824162625244165789596414857', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '16.000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.0518660200390665263354263771371387657', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-3201, 3201, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [2, 3], '3': [5, 0], '5': [1, 0], '7': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '210.e1'}
• ec_torsion_growth •

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

  
  
  • id: 9101
    {'degree': 2, 'field': [-6, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 2]}
  • id: 9103
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [4]}
  • id: 9102
    {'degree': 2, 'field': [6, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [4]}
  • id: 9104
    {'degree': 4, 'field': [-150, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 4]}
  • id: 9107
    {'degree': 4, 'field': [1, 0, -1, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [8]}
  • id: 9108
    {'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [8]}
  • id: 9105
    {'degree': 4, 'field': [9, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 4]}
  • id: 9106
    {'degree': 4, 'field': [150, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [8]}
  • id: 9110
    {'degree': 8, 'field': [-360150, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 8]}
  • id: 9111
    {'degree': 8, 'field': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 8]}
  • id: 9117
    {'degree': 8, 'field': [320, -520, 65, -216, -3, -6, 1, -2, 1], 'lmfdb_label': '210.e1', 'torsion': [6]}
  • id: 9109
    {'degree': 8, 'field': [22201, 0, 1804, 0, -294, 0, 4, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [4, 4]}
  • id: 9112
    {'degree': 8, 'field': [22801, 0, -1796, 0, 306, 0, 4, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 8]}
  • id: 9113
    {'degree': 8, 'field': [86400, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [16]}
  • id: 9114
    {'degree': 8, 'field': [86436, 0, -12348, 0, 882, 0, -42, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [16]}
  • id: 9116
    {'degree': 8, 'field': [1500625, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [16]}
  • id: 9115
    {'degree': 8, 'field': [121550625, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [16]}
  • id: 9125
    {'degree': 16, 'field': [102400, 0, 228800, 0, -222335, 0, 52646, 0, -3893, 0, 776, 0, -29, 0, 2, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [12]}
  • id: 9123
    {'degree': 16, 'field': [291600, 0, -1312200, 0, -140940, 0, -96984, 0, 4644, 0, -684, 0, 328, 0, -20, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 6]}
  • id: 9124
    {'degree': 16, 'field': [291600, 0, 1312200, 0, -140940, 0, 96984, 0, 4644, 0, 684, 0, 328, 0, 20, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [12]}
  • id: 9122
    {'degree': 16, 'field': [29170801, 0, -302392, 0, 756028, 0, -302344, 0, 10870, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 16]}
  • id: 9120
    {'degree': 16, 'field': [31618129, 31646244, -2818972, -10393088, 480008, 2403972, -142564, -405108, 27379, 45204, -4244, -3244, 480, 152, -32, -4, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 16]}
  • id: 9119
    {'degree': 16, 'field': [31640625, 0, -25312500, 0, 10125000, 0, -2700000, 0, 444375, 0, -36000, 0, 1800, 0, -60, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [4, 8]}
  • id: 9118
    {'degree': 16, 'field': [129707302201, 0, 20168408, 0, -50420972, 0, 20168456, 0, -720230, 0, 56, 0, 28, 0, 8, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [4, 8]}
  • id: 9121
    {'degree': 16, 'field': [2251875390625, 0, 0, 0, 0, 0, 0, 0, -1500625, 0, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '210.e1', 'torsion': [2, 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: 1876
    {'conductor': 210, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '210.e1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1877
    {'conductor': 210, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '210.e1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 1878
    {'conductor': 210, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '210.e1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 1879
    {'conductor': 210, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '210.e1', '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: 1666668
    {'adelic_gens': [[503, 26, 3222, 491], [1, 0, 32, 1], [1, 32, 0, 1], [30, 31, 2089, 3204], [3166, 29, 2561, 770], [5, 28, 68, 381], [2116, 29, 671, 770], [2711, 26, 2118, 875], [3329, 32, 3328, 33], [23, 18, 798, 1355]], 'adelic_image': '3360.768.13.?', 'conductor': 210, 'lmfdb_label': '210.e1', 'prime': 0}
  • id: 901
    {'conductor': 210, 'elladic_image': '16.96.0.149', 'lmfdb_label': '210.e1', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 210.e does not appear in ec_padic