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ec_curvedata • Show schema
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{'Ciso': '247744h', 'Clabel': '247744h1', 'Cnumber': 1, 'abc_quality': 0.8000937907084497, 'absD': 9745749508096, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 632, 'ainvs': [0, 1, 0, 3071, 136191], 'analytic_rank': 2, 'bad_primes': [2, 7, 79], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 247744, 'degree': 442368, 'elladic_images': ['8.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1756364578082149045809225832', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 7, 'isogeny_degrees': [1, 2], 'jinv': [103823, 316], 'lmfdb_iso': '247744.h', 'lmfdb_label': '247744.h2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, 1, 1], 'min_quad_twist_disc': 56, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.c.1', '158.6.0.?', '632.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 9, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '8.0923511867745019501520730386', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.83703938755935971209760197071', 'prec': 107}, 'szpiro_ratio': 2.991242499866495, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, -2, 0, 0, 0, 1, 0, -4, 0, 2, 0, 4, 0, 2, 0, 0, 0], 'aplist': [0, -2, -2, 0, -4, 2, 2, 0, 0, -8, 8, -4, 10, -2, 0, 8, -14, 0, 8, -8, -6, 1, -12, -6, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 247744, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '247744.h', 'trace_hash': 1094419144412979441}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.095247842550868824690735560339', 'prec': 107}, 'conductor': 247744, 'gens': [[31, 512, 1], [17, 440, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '2.1332605674891520588899520253', 'prec': 100}, {'__RealLiteral__': 0, 'data': '3.7942185841806487504346016315', 'prec': 100}], 'lmfdb_label': '247744.h2', 'ngens': 2, 'rank_bounds': [2, 2], 'real_period': {'__RealLiteral__': 0, 'data': '0.51218352598933476178500012689', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '8.2895379287722842451927560223016079853', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-33, 0, 1]], 'xcoord_integral_points': [-33, 17, 31, 65, 4575]}
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lmfdb_label 247744.h2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10667786
{'degree': 2, 'field': [20, -1, 1], 'lmfdb_label': '247744.h2', 'torsion': [2, 2]}
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id: 10667787
{'degree': 4, 'field': [-943, -112, 48, 0, 1], 'lmfdb_label': '247744.h2', 'torsion': [4]}
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id: 10667790
{'degree': 8, 'field': [-28812, 0, 4802, 0, -588, 0, 0, 0, 1], 'lmfdb_label': '247744.h2', 'torsion': [6]}
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id: 10667789
{'degree': 8, 'field': [33856, 0, -10352, 0, 2857, 0, 88, 0, 1], 'lmfdb_label': '247744.h2', 'torsion': [2, 4]}
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id: 10667788
{'degree': 8, 'field': [248000, -256, 352, -208, 145, -52, 22, -4, 1], 'lmfdb_label': '247744.h2', 'torsion': [2, 4]}
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id: 10667791
{'degree': 16, 'field': [418609, 0, 10559000, 0, -2432704, 0, -1721816, 0, 484114, 0, -53096, 0, 3008, 0, -88, 0, 1], 'lmfdb_label': '247744.h2', 'torsion': [8]}
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id: 10667792
{'degree': 16, 'field': [7283857212, -4972484568, 5667183562, -2340132988, 782024646, 97159036, -6032296, 12555168, 224299, -111196, 95128, 1920, 260, 124, 12, -4, 1], 'lmfdb_label': '247744.h2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 6140319
{'conductor': 247744, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '247744.h2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 6140320
{'conductor': 247744, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '247744.h2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 6140321
{'conductor': 247744, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '247744.h2', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3236855
{'adelic_gens': [[1, 0, 4, 1], [322, 1, 471, 0], [3, 4, 8, 11], [81, 554, 552, 79], [1, 2, 2, 5], [1, 4, 0, 1], [317, 4, 2, 9], [629, 4, 628, 5]], 'adelic_image': '632.12.0.?', 'conductor': 247744, 'lmfdb_label': '247744.h2', 'prime': 0}
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id: 894785
{'conductor': 247744, 'elladic_image': '8.6.0.1', 'lmfdb_label': '247744.h2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 247744.h does not appear in ec_padic