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ec_curvedata • Show schema
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{'Ciso': '124912a', 'Clabel': '124912a1', 'Cnumber': 1, 'abc_quality': 0.6596218504522061, 'absD': 124912, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 15614, 'ainvs': [0, 0, 0, 1, 17], 'analytic_rank': 0, 'bad_primes': [2, 37, 211], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 124912, 'degree': 7808, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.34305553014075783828267260060', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1], 'jinv': [6912, 7807], 'lmfdb_iso': '124912.c', 'lmfdb_label': '124912.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, 1, -17], 'min_quad_twist_disc': -4, 'modell_images': [], 'modm_images': ['15614.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.57410459032740627475508330775', 'prec': 107}, 'szpiro_ratio': 1.6351917988487152, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, 2, 0, 2, 0, -3, 0, -1, 0, 0, 0, 0, 0, 2, 0, -8, 0], 'aplist': [0, 0, 2, 2, -1, 0, 2, -8, -3, 7, 7, 1, 12, -8, 0, 6, 2, 7, -6, -1, 11, -8, -9, 15, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 124912, 'isogeny_matrix': [[1]], 'lmfdb_iso': '124912.c', 'trace_hash': 1005447061264035202}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.9859771505232959344107918810', 'prec': 100}, 'conductor': 124912, 'gens': [], 'heights': [], 'lmfdb_label': '124912.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '2.5825539979723982934543328599', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5825539979723982934543328598860806606', 'prec': 130}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [3, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0, 0], '211': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '124912.c1'}
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ec_torsion_growth • Show schema
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id: 5696448
{'degree': 3, 'field': [-17, 1, 0, 1], 'lmfdb_label': '124912.c1', 'torsion': [2]}
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id: 5696449
{'degree': 6, 'field': [7807, 0, 9, 0, 6, 0, 1], 'lmfdb_label': '124912.c1', 'torsion': [2, 2]}
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id: 5696450
{'degree': 8, 'field': [-27, 0, 1836, 0, 18, 0, 0, 0, 1], 'lmfdb_label': '124912.c1', 'torsion': [3]}
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id: 5696451
{'degree': 12, 'field': [-7807, 0, -2754, 0, -135, 0, 4590, 0, 30, 0, 0, 0, 1], 'lmfdb_label': '124912.c1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 3078625
{'conductor': 124912, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '124912.c1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 3078626
{'conductor': 124912, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '124912.c1', 'prime': 37, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3078627
{'conductor': 124912, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '124912.c1', 'prime': 211, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[5699, 2, 5699, 3], [2111, 2, 2111, 3], [1, 1, 15613, 0], [1, 0, 2, 1], [1, 2, 0, 1], [15613, 2, 15612, 3]], 'adelic_image': '15614.2.0.?', 'conductor': 124912, 'lmfdb_label': '124912.c1', 'prime': 0}
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lmfdb_iso 124912.c does not appear in ec_padic