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ec_curvedata • Show schema
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{'Ciso': '114b', 'Clabel': '114b1', 'Cnumber': 1, 'abc_quality': 0.9798251903076313, 'absD': 18468, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 456, 'ainvs': [1, 1, 0, -95, -399], 'analytic_rank': 0, 'bad_primes': [2, 3, 19], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 114, 'degree': 20, 'elladic_images': ['8.6.0.4'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.18069063516102276301230543226', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 2], 'jinv': [96386901625, 18468], 'lmfdb_iso': '114.a', 'lmfdb_label': '114.a1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 0, -95, -399], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.d.1', '114.6.0.?', '456.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.18069063516102276301230543226', 'prec': 107}, 'szpiro_ratio': 5.340071035799863, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, 4, -1, 1, 0, 4, -1, 0, -4, 0, 1, -2, -1, 1, 0], 'aplist': [-1, -1, 0, 4, 4, 0, -2, 1, -2, -6, 6, -8, 10, -12, 10, 2, 4, -10, 0, -16, -2, 10, -16, -2, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 114, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '114.a', 'trace_hash': 680862519249031396}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.4353105979022708108934163738', 'prec': 100}, 'conductor': 114, 'gens': [], 'heights': [], 'lmfdb_label': '114.a1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.5271441130311838561374190637', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.76357205651559192806870953186303741260', 'prec': 133}, 'tamagawa_product': 2, 'torsion_generators': [[-6, 3, 1]], 'xcoord_integral_points': [-6]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 0], '3': [0, 0], '19': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '114.a1'}
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ec_torsion_growth • Show schema
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id: 4298
{'degree': 2, 'field': [-14, -1, 1], 'lmfdb_label': '114.a1', 'torsion': [2, 2]}
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id: 4299
{'degree': 4, 'field': [3, 2, -1, -2, 1], 'lmfdb_label': '114.a1', 'torsion': [4]}
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id: 4302
{'degree': 8, 'field': [-58, -11, -16, 53, -23, -7, 7, -4, 1], 'lmfdb_label': '114.a1', 'torsion': [6]}
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id: 4301
{'degree': 8, 'field': [36, 0, 444, 0, 13, 0, -2, 0, 1], 'lmfdb_label': '114.a1', 'torsion': [2, 4]}
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id: 4300
{'degree': 8, 'field': [82, -394, -145, 260, 82, -26, -10, -2, 1], 'lmfdb_label': '114.a1', 'torsion': [2, 4]}
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id: 4303
{'degree': 16, 'field': [836, 1520, 1368, 9120, 27824, 45984, 57392, 52992, 28449, 5780, -210, 336, 111, -32, 6, -4, 1], 'lmfdb_label': '114.a1', 'torsion': [8]}
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id: 4304
{'degree': 16, 'field': [241984, -140980, -99468, 37096, -195256, 193860, -89714, 60857, -31671, 5840, 3748, -2646, 1010, -260, 54, -7, 1], 'lmfdb_label': '114.a1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 751
{'conductor': 114, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '114.a1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 752
{'conductor': 114, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '114.a1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 753
{'conductor': 114, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '114.a1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1666219
{'adelic_gens': [[1, 0, 4, 1], [3, 4, 8, 11], [194, 1, 359, 0], [1, 2, 2, 5], [154, 1, 151, 0], [1, 4, 0, 1], [453, 4, 452, 5], [229, 4, 2, 9], [289, 172, 56, 399]], 'adelic_image': '456.12.0.?', 'conductor': 114, 'lmfdb_label': '114.a1', 'prime': 0}
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id: 408
{'conductor': 114, 'elladic_image': '8.6.0.4', 'lmfdb_label': '114.a1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 114.a does not appear in ec_padic