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ec_curvedata • Show schema
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{'Ciso': '145200jt', 'Clabel': '145200jt1', 'Cnumber': 1, 'abc_quality': 0.832227807995805, 'absD': 4991250000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 660, 'ainvs': [0, -1, 0, -1283, -16938], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 145200, 'degree': 110592, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.64996351375159353359209418270', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'intrinsic_torsion': 1, 'iso_nlabel': 16, 'isogeny_degrees': [1, 2], 'jinv': [702464, 15], 'lmfdb_iso': '145200.q', 'lmfdb_label': '145200.q1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -51, 156], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '44.6.0.c.1', '60.6.0.d.1', '330.6.0.?', '660.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.0181985149569357970969751556', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 825], [3, 4, 48400], [5, 18, 5808], [11, 42, 1200]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.98527832085169772619618208556', 'prec': 107}, 'szpiro_ratio': 2.783579051236515, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, -4, 0, 1, 0, 0, 0, 2, 0, 0, 0, 4, 0, 2, 0], 'aplist': [0, -1, 0, -4, 0, 2, 4, 2, -8, 6, 0, 2, 2, -8, 0, 6, 12, -8, -8, 12, -6, 2, 6, -14, 18], 'class_deg': 2, 'class_size': 2, 'conductor': 145200, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '145200.q', 'trace_hash': 1642294276555870409}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.27255168108504274538077212232', 'prec': 103}, 'conductor': 145200, 'gens': [[82, 650, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.0181985149569357970969751556', 'prec': 100}], 'lmfdb_label': '145200.q1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.79869098699229599876360087136', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.8212159016992742183761771487720197881', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [[-18, 0, 1]], 'xcoord_integral_points': [-18, 82]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [7, 0], '5': 'a', '7': [1, 0], '11': 'a', '13': [1, 0], '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '145200.q1'}
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ec_torsion_growth • Show schema
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id: 6550852
{'degree': 2, 'field': [-41, -1, 1], 'lmfdb_label': '145200.q1', 'torsion': [2, 2]}
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id: 6550853
{'degree': 4, 'field': [165, 0, 11, 0, 1], 'lmfdb_label': '145200.q1', 'torsion': [4]}
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id: 6550856
{'degree': 8, 'field': [-1573381, 374530, -49822, -9272, 1400, -62, 40, -4, 1], 'lmfdb_label': '145200.q1', 'torsion': [6]}
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id: 6550854
{'degree': 8, 'field': [1936, 0, -484, 0, 561, 0, 11, 0, 1], 'lmfdb_label': '145200.q1', 'torsion': [2, 4]}
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id: 6550855
{'degree': 8, 'field': [18415, 7300, -6535, -1490, 646, 116, -34, -4, 1], 'lmfdb_label': '145200.q1', 'torsion': [2, 4]}
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id: 6550858
{'degree': 16, 'field': [-2046920435, 3144154060, 1951046880, -2949168900, 943912290, -126356460, -8642476, 9096452, -1519749, -51148, 66356, -2364, -1626, 312, 24, -8, 1], 'lmfdb_label': '145200.q1', 'torsion': [2, 6]}
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id: 6550857
{'degree': 16, 'field': [52707600, 0, 10541520, 0, -606936, 0, -79860, 0, 72721, 0, -1694, 0, 11, 0, 22, 0, 1], 'lmfdb_label': '145200.q1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3590480
{'conductor': 145200, 'conductor_valuation': 4, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '145200.q1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 3590481
{'conductor': 145200, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '145200.q1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 3590482
{'conductor': 145200, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '145200.q1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 3590483
{'conductor': 145200, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '145200.q1', 'prime': 11, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2607390
{'adelic_gens': [[1, 2, 2, 5], [134, 1, 263, 0], [1, 4, 0, 1], [497, 166, 164, 495], [184, 1, 119, 0], [1, 0, 4, 1], [3, 4, 8, 11], [442, 1, 439, 0], [657, 4, 656, 5]], 'adelic_image': '660.12.0.?', 'conductor': 145200, 'lmfdb_label': '145200.q1', 'prime': 0}
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id: 559523
{'conductor': 145200, 'elladic_image': '2.3.0.1', 'lmfdb_label': '145200.q1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 145200.q does not appear in ec_padic