Formats: - HTML - YAML - JSON - 2026-07-21T02:11:10.767928
  • ec_curvedata • Show schema
    {'Ciso': '920d', 'Clabel': '920d1', 'Cnumber': 1, 'abc_quality': 0.9921252637653091, 'absD': 230000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 46, 'ainvs': [0, -1, 0, 0, -23], 'analytic_rank': 1, 'bad_primes': [2, 5, 23], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 920, 'degree': 64, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.29228888600679706333590692075', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [-256, 14375], 'lmfdb_iso': '920.b', 'lmfdb_label': '920.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, 0, -23], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['46.2.0.a.1'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.18715691459980319689324504504', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 2, 23], [5, 6, 184], [23, 24, 40]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.52333794619344549980831762790', 'prec': 107}, 'szpiro_ratio': 2.9014479277553025, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
  • ec_classdata • Show schema
    {'anlist': [0, 1, 0, -1, 0, 1, 0, 0, 0, -2, 0, 2, 0, -5, 0, -1, 0, -4, 0, -2, 0], 'aplist': [0, -1, 1, 0, 2, -5, -4, -2, -1, -3, 7, -2, -9, -4, -9, -6, 0, 2, -2, -1, 1, -14, 0, 16, -4], 'class_deg': 1, 'class_size': 1, 'conductor': 920, 'isogeny_matrix': [[1]], 'lmfdb_iso': '920.b', 'trace_hash': 1780630493872955018}
  • ec_mwbsd • Show schema
    {'area': {'__RealLiteral__': 0, 'data': '1.7942332501902304092378789646', 'prec': 100}, 'conductor': 920, 'gens': [[4, 5, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.18715691459980319689324504504', 'prec': 103}], 'lmfdb_label': '920.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '1.4333203773065477475574563131', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.1460465555977540232576327755190634008', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [4, 9, 24]}
  • ec_iwasawa • Show schema
    {'iwdata': {'2': 'a', '3': [1, 0], '5': [2, 0], '7': [1, 1, 0], '11': [1, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [3, 0]}, 'iwp0': 0, 'lmfdb_label': '920.b1'}
  • ec_torsion_growth • Show schema
    • id: 44186
      {'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '920.b1', 'torsion': [2]}
    • id: 44187
      {'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '920.b1', 'torsion': [2, 2]}
    • id: 44188
      {'degree': 8, 'field': [-108, 0, 252, 0, -36, 0, 0, 0, 1], 'lmfdb_label': '920.b1', 'torsion': [3]}
    • id: 44189
      {'degree': 12, 'field': [1, 2, 16, 14, 26, -46, -20, 16, -15, 6, 4, -4, 1], 'lmfdb_label': '920.b1', 'torsion': [4]}
  • ec_localdata • Show schema
    • id: 12475
      {'conductor': 920, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '920.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
    • id: 12476
      {'conductor': 920, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '920.b1', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
    • id: 12477
      {'conductor': 920, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '920.b1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
  • ec_galrep • Show schema
    {'adelic_gens': [[5, 2, 5, 3], [1, 1, 45, 0], [1, 2, 0, 1], [45, 2, 44, 3], [1, 0, 2, 1]], 'adelic_image': '46.2.0.?', 'conductor': 920, 'lmfdb_label': '920.b1', 'prime': 0}
  • ec_padic • Show schema
    • id: 20213
      {'lmfdb_iso': '920.b', 'p': 11, 'prec': 20, 'unit': 50591345773581747289, 'val': 1}
    • id: 20219
      {'lmfdb_iso': '920.b', 'p': 13, 'prec': 20, 'unit': 528597044093282163644, 'val': 1}
    • id: 20221
      {'lmfdb_iso': '920.b', 'p': 17, 'prec': 20, 'unit': 35096569802969600442696, 'val': 1}
    • id: 20222
      {'lmfdb_iso': '920.b', 'p': 19, 'prec': 20, 'unit': 1321636596773671084884366, 'val': 1}
    • id: 20218
      {'lmfdb_iso': '920.b', 'p': 29, 'prec': 20, 'unit': 3930455203532322203422458907, 'val': 1}
    • id: 20228
      {'lmfdb_iso': '920.b', 'p': 31, 'prec': 20, 'unit': 12183061705908355463535472049, 'val': 1}
    • id: 20214
      {'lmfdb_iso': '920.b', 'p': 37, 'prec': 20, 'unit': 76546750808030574084261275908, 'val': 1}
    • id: 20216
      {'lmfdb_iso': '920.b', 'p': 41, 'prec': 20, 'unit': 1686314128685999841710777534712, 'val': 1}
    • id: 20217
      {'lmfdb_iso': '920.b', 'p': 43, 'prec': 20, 'unit': 2594295121603297779361112766350, 'val': 1}
    • id: 20220
      {'lmfdb_iso': '920.b', 'p': 47, 'prec': 20, 'unit': 855568001817123805870869739068, 'val': 2}
    • id: 20223
      {'lmfdb_iso': '920.b', 'p': 53, 'prec': 20, 'unit': 171144309424524354302528902678962, 'val': 1}
    • id: 20227
      {'lmfdb_iso': '920.b', 'p': 61, 'prec': 20, 'unit': 2765881856343895664361714421770840, 'val': 1}
    • id: 20212
      {'lmfdb_iso': '920.b', 'p': 67, 'prec': 20, 'unit': 14491415347929677569298442376498793, 'val': 1}
    • id: 20215
      {'lmfdb_iso': '920.b', 'p': 71, 'prec': 20, 'unit': 32007760805494584628455693094952455, 'val': 1}
    • id: 20224
      {'lmfdb_iso': '920.b', 'p': 73, 'prec': 20, 'unit': 14566614752787430850586172373017497780, 'val': -1}
    • id: 20226
      {'lmfdb_iso': '920.b', 'p': 79, 'prec': 20, 'unit': 834158713459205589128708492263512910, 'val': 1}
    • id: 20225
      {'lmfdb_iso': '920.b', 'p': 89, 'prec': 20, 'unit': 3347777010430907547595486935678724171, 'val': 1}
    • id: 20211
      {'lmfdb_iso': '920.b', 'p': 97, 'prec': 20, 'unit': 38266605305530740393236586337069674972, 'val': 1}