Elliptic curve data - 3300.h2

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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': '3300c', 'Clabel': '3300c2', 'Cnumber': 2, 'abc_quality': 0.9214349789031259, 'absD': 65340000000, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 660, 'ainvs': [0, -1, 0, -17908, 928312], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 3300, 'degree': 6912, 'elladic_images': ['2.3.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1080206087263827495272188855', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [158792223184, 16335], 'lmfdb_iso': '3300.h', 'lmfdb_label': '3300.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -716, 7140], 'min_quad_twist_disc': 5, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '12.24.0-6.a.1.4', '15.8.0-3.a.1.2', '30.24.0-6.a.1.2', '44.6.0.c.1', '60.48.0-60.r.1.4', '132.48.0.?', '660.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 75], [3, 4, 1100], [5, 18, 132], [11, 12, 300]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.15879646786396431071798219542', 'prec': 107}, 'szpiro_ratio': 5.059775099562652, '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, -1, 0, 0, 0, 4, 0, 1, 0, -1, 0, 4, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -1, 0, 4, -1, 4, 6, 2, 0, 0, -4, 10, 0, 4, -12, -6, 12, -10, 4, 0, -8, -10, 6, -6, 10], 'class_deg': 6, 'class_size': 4, 'conductor': 3300, 'isogeny_matrix': [[1, 3, 6, 2], [3, 1, 2, 6], [6, 2, 1, 3], [2, 6, 3, 1]], 'lmfdb_iso': '3300.h', 'trace_hash': 787485436219583022}
• 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': '0.10903992085237365607032294265', 'prec': 103}, 'conductor': 3300, 'gens': [], 'heights': [], 'lmfdb_label': '3300.h2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.0568347278544104294914240639', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1136694557088208589828481277876212682', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[77, 0, 1]], 'xcoord_integral_points': [77]}
• ec_iwasawa •

  Column	Type
  iwdata	jsonb
  iwp0	smallint
  lmfdb_label	text

  
  {'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '3300.h2'}
• ec_torsion_growth •

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

  
  
  • id: 172235
    {'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 2]}
  • id: 172236
    {'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '3300.h2', 'torsion': [6]}
  • id: 172238
    {'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 6]}
  • id: 172237
    {'degree': 4, 'field': [15, 0, -4, 0, 1], 'lmfdb_label': '3300.h2', 'torsion': [4]}
  • id: 172239
    {'degree': 6, 'field': [94, -38, 40, -5, 5, -3, 1], 'lmfdb_label': '3300.h2', 'torsion': [6]}
  • id: 172241
    {'degree': 8, 'field': [-440, -1040, -40, 640, 136, -64, -4, -4, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 4]}
  • id: 172242
    {'degree': 8, 'field': [144, 0, -96, 0, 7, 0, 3, 0, 1], 'lmfdb_label': '3300.h2', 'torsion': [12]}
  • id: 172240
    {'degree': 8, 'field': [2025, 1350, 750, 450, 91, -30, -8, 0, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 4]}
  • id: 172243
    {'degree': 12, 'field': [8836, -3572, -2316, -580, 940, -102, -101, 177, -30, -5, 4, -3, 1], 'lmfdb_label': '3300.h2', 'torsion': [3, 6]}
  • id: 172244
    {'degree': 12, 'field': [8836, 0, -6076, 0, 2160, 0, -335, 0, 75, 0, -1, 0, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 6]}
  • id: 172247
    {'degree': 16, 'field': [-3479, 5348, 23048, -4788, -106882, 74608, 64504, -66204, 1903, 12288, -4904, 1220, -82, -84, 32, -8, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 12]}
  • id: 172246
    {'degree': 16, 'field': [1764, 8064, 26832, 47352, 57142, 52704, 38280, 22570, 11561, 4618, 1754, 394, 108, -18, 2, -4, 1], 'lmfdb_label': '3300.h2', 'torsion': [2, 12]}
  • id: 172245
    {'degree': 16, 'field': [334341225, 0, 294869880, 0, 101793234, 0, 14394780, 0, 1259971, 0, 67004, 0, 2766, 0, 68, 0, 1], 'lmfdb_label': '3300.h2', 'torsion': [8]}
  • id: 172248
    {'degree': 18, 'field': [111119, 496764, -1185093, 2849157, -1753245, -49941, 1206669, -915993, 681777, -433420, 181152, -39753, -3189, 4761, -1395, 132, 27, -9, 1], 'lmfdb_label': '3300.h2', 'torsion': [18]}
• 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: 59894
    {'conductor': 3300, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '3300.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
  • id: 59895
    {'conductor': 3300, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '3300.h2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • id: 59896
    {'conductor': 3300, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '3300.h2', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
  • id: 59897
    {'conductor': 3300, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '3300.h2', '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: 1685461
    {'adelic_gens': [[606, 397, 605, 386], [650, 657, 159, 8], [1, 0, 12, 1], [446, 11, 429, 640], [649, 12, 648, 13], [1, 6, 6, 37], [1, 12, 0, 1], [11, 2, 610, 651], [541, 12, 606, 73]], 'adelic_image': '660.96.1.?', 'conductor': 3300, 'lmfdb_label': '3300.h2', 'prime': 0}
  • id: 16558
    {'conductor': 3300, 'elladic_image': '2.3.0.1', 'lmfdb_label': '3300.h2', 'modell_image': '2B', 'prime': 2}
  • id: 16559
    {'conductor': 3300, 'elladic_image': '3.4.0.1', 'lmfdb_label': '3300.h2', 'modell_image': '3B', 'prime': 3}
• lmfdb_iso 3300.h does not appear in ec_padic