Elliptic curve data - 2310.o2

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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': '2310o', 'Clabel': '2310o5', 'Cnumber': 5, 'abc_quality': 1.0469757873672974, 'absD': 187585177195046990066400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 1680, 'ainvs': [1, 1, 1, -26238610, -47360440513], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 2310, 'degree': 368640, 'elladic_images': ['16.48.0.43'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.2040055820321894644048639542', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 8, 'iso_nlabel': 14, 'isogeny_degrees': [1, 2, 4, 8], 'jinv': [1997773216431678333214187041, 187585177195046990066400], 'lmfdb_iso': '2310.o', 'lmfdb_label': '2310.o2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -26238610, -47360440513], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.n.1.6', '16.48.0-16.e.1.6', '56.48.0-56.bh.1.7', '112.96.0.?', '120.48.0.?', '240.96.0.?', '840.96.0.?', '1680.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 4, 'sha_primes': [2], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '3.2040055820321894644048639542', 'prec': 100}, 'szpiro_ratio': 8.116437433798971, '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, -1, -1, -2, 1, -1, 1, 2, 1, -4, 1], 'aplist': [1, -1, 1, 1, -1, -2, 2, -4, 8, 6, 8, -2, 2, 4, 8, -10, -12, -2, -4, 8, 2, 16, -4, -14, 10], 'class_deg': 8, 'class_size': 6, 'conductor': 2310, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '2310.o', 'trace_hash': 781534013473579936}
• 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': '0.0016482994414943832971004119998', 'prec': 110}, 'conductor': 2310, 'gens': [], 'heights': [], 'lmfdb_label': '2310.o2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.067107501409847447159953417640', 'prec': 107}, 'sha_an': {'__RealLiteral__': 0, 'data': '4.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.6843000563938978863981367056072800602', 'prec': 130}, 'tamagawa_product': 40, 'torsion_generators': [[-14541, 14537, 2]], 'xcoord_integral_points': []}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': [3, 2], '3': [0, 0], '5': [3, 0], '7': [1, 0], '11': [0, 0]}, 'iwp0': 7, 'lmfdb_label': '2310.o2'}
• ec_torsion_growth •

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

  
  
  • id: 118032
    {'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 2]}
  • id: 118034
    {'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [4]}
  • id: 118033
    {'degree': 2, 'field': [14, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [4]}
  • id: 118035
    {'degree': 4, 'field': [-3150, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 4]}
  • id: 118039
    {'degree': 4, 'field': [16, 0, -7, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [8]}
  • id: 118036
    {'degree': 4, 'field': [49, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 4]}
  • id: 118037
    {'degree': 4, 'field': [56, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [8]}
  • id: 118038
    {'degree': 4, 'field': [11025, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [8]}
  • id: 118044
    {'degree': 8, 'field': [-2200, 1300, -1450, 299, -146, -7, 7, -4, 1], 'lmfdb_label': '2310.o2', 'torsion': [6]}
  • id: 118041
    {'degree': 8, 'field': [169, 0, 172, 0, -22, 0, 4, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 8]}
  • id: 118042
    {'degree': 8, 'field': [3490, 1900, -1706, -404, 243, -52, 22, -4, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 8]}
  • id: 118043
    {'degree': 8, 'field': [705600, 0, 25200, 0, -1230, 0, -30, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [16]}
  • id: 118040
    {'degree': 8, 'field': [9916201, 0, 37804, 0, -6294, 0, 4, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [4, 4]}
  • id: 118050
    {'degree': 16, 'field': [-616864552, 2762375344, -2324692964, -829649200, 303599042, 125050212, -28115015, -10714216, 1568468, 686942, -85827, -26164, 2753, 714, -82, -8, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 6]}
  • id: 118052
    {'degree': 16, 'field': [11664, 0, 0, 0, 956452, 0, 0, 0, 1080, 0, 0, 0, -72, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [12]}
  • id: 118046
    {'degree': 16, 'field': [45796, 0, 358064, 0, 668588, 0, -115584, 0, 32693, 0, -3108, 0, 302, 0, -28, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [4, 8]}
  • id: 118047
    {'degree': 16, 'field': [158760000, 0, 0, 0, 8467200, 0, 0, 0, 440944, 0, 0, 0, 672, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [16]}
  • id: 118051
    {'degree': 16, 'field': [707392200, -567666000, 911782460, -755549776, 550427414, -219559676, 94322377, -19149608, 6117600, -947922, 252357, -36356, 7849, -854, 142, -8, 1], 'lmfdb_label': '2310.o2', 'torsion': [12]}
  • id: 118049
    {'degree': 16, 'field': [11611866610, -8311240120, 10505176620, -4673537240, 3071184606, -938824632, 411266560, -89234420, 28633011, -4419580, 1090276, -116460, 22686, -1540, 240, -8, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 16]}
  • id: 118045
    {'degree': 16, 'field': [63511056196, 0, -23621371200, 0, 2113980736, 0, -37255680, 0, -491484, 0, -151200, 0, -224, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', 'torsion': [2, 8]}
  • id: 118048
    {'degree': 16, 'field': [74711820960000, 0, 0, 0, 101648736000, 0, 0, 0, 54342225, 0, 0, 0, 11760, 0, 0, 0, 1], 'lmfdb_label': '2310.o2', '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: 39039
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2310.o2', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
  • id: 39040
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2310.o2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
  • id: 39041
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.o2', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 39042
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.o2', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
  • id: 39043
    {'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 16, 'j_denominator_valuation': 16, 'kodaira_symbol': 20, 'lmfdb_label': '2310.o2', 'prime': 11, '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: 1678953
    {'adelic_gens': [[5, 4, 1676, 1677], [1478, 425, 213, 842], [1021, 16, 1088, 1365], [428, 425, 843, 842], [1, 16, 0, 1], [1665, 16, 1664, 17], [15, 2, 1582, 1667], [496, 5, 915, 1666], [1133, 16, 304, 1365], [1, 0, 16, 1]], 'adelic_image': '1680.192.1.?', 'conductor': 2310, 'lmfdb_label': '2310.o2', 'prime': 0}
  • id: 11384
    {'conductor': 2310, 'elladic_image': '16.48.0.43', 'lmfdb_label': '2310.o2', 'modell_image': '2B', 'prime': 2}
• lmfdb_iso 2310.o does not appear in ec_padic