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ec_curvedata • Show schema
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{'Ciso': '154b', 'Clabel': '154b3', 'Cnumber': 3, 'abc_quality': 1.0357809367334248, 'absD': 2324168, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 56, 'ainvs': [1, -1, 1, -5164, -141529], 'analytic_rank': 0, 'bad_primes': [2, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 154, 'degree': 96, 'elladic_images': ['8.24.0.58'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.62717307818662955611022329097', 'prec': 103}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2, 4], 'jinv': [15226621995131793, 2324168], 'lmfdb_iso': '154.c', 'lmfdb_label': '154.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -5164, -141529], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.12.0-4.c.1.2', '8.24.0-8.k.1.1', '56.48.0-56.v.1.8'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.62717307818662955611022329097', 'prec': 103}, 'szpiro_ratio': 7.397691556589383, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 1, 0, 1, 2, 0, -1, 1, -3, 2, -1, 0, 2, -1, 0, 1, 2, -3, 0, 2], 'aplist': [1, 0, 2, -1, -1, 2, 2, 0, -8, -2, -8, -2, 10, 4, 8, 6, 0, 10, -12, 16, -14, 0, 0, -6, 10], 'class_deg': 4, 'class_size': 4, 'conductor': 154, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '154.c', 'trace_hash': 1412392933954114716}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.28526230420083612690589167138', 'prec': 103}, 'conductor': 154, 'gens': [], 'heights': [], 'lmfdb_label': '154.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.56319601187170233145504220529', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.6895880356151069943651266158709737872', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[-165, 161, 2]], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [1, 1], '3': [2, 2, 0], '7': [0, 0], '11': [0, 0]}, 'iwp0': 5, 'lmfdb_label': '154.c1'}
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ec_torsion_growth • Show schema
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id: 6120
{'degree': 2, 'field': [-2, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 2]}
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id: 6121
{'degree': 2, 'field': [1, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [4]}
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id: 6122
{'degree': 2, 'field': [2, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [4]}
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id: 6124
{'degree': 4, 'field': [-242, 0, 0, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 4]}
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id: 6123
{'degree': 4, 'field': [1, 0, 0, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 4]}
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id: 6128
{'degree': 8, 'field': [-48, 0, -57, 0, -24, 0, 0, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [6]}
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id: 6127
{'degree': 8, 'field': [16, 0, 0, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [8]}
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id: 6126
{'degree': 8, 'field': [3364, 0, -1451, 0, 307, 0, -29, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [8]}
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id: 6125
{'degree': 8, 'field': [14641, 0, -5324, 0, 968, 0, -44, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [4, 4]}
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id: 6130
{'degree': 16, 'field': [16, 0, -32, 0, 32, 0, -88, 0, 161, 0, -44, 0, 8, 0, -4, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 8]}
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id: 6133
{'degree': 16, 'field': [196, 0, -976, 0, 4273, 0, 10724, 0, 2848, 0, 38, 0, -20, 0, 8, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [12]}
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id: 6134
{'degree': 16, 'field': [196, 0, 196, 0, 49, 0, 31648, 0, 7828, 0, 526, 0, 64, 0, 16, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [12]}
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id: 6132
{'degree': 16, 'field': [58564, 0, -58564, 0, 14641, 0, -13408, 0, 1900, 0, -754, 0, 64, 0, -16, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 6]}
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id: 6131
{'degree': 16, 'field': [93636, 0, -735840, 0, -595408, 0, -70016, 0, 19060, 0, -4272, 0, 440, 0, -32, 0, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 8]}
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id: 6129
{'degree': 16, 'field': [276676, -338744, 207368, 12372, -105699, 83312, -22504, -8476, 11663, -4664, 536, 396, -201, 32, 8, -4, 1], 'lmfdb_label': '154.c1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 1161
{'conductor': 154, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '154.c1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
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id: 1162
{'conductor': 154, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '154.c1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1163
{'conductor': 154, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '154.c1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1666394
{'adelic_gens': [[17, 8, 12, 33], [49, 8, 48, 9], [1, 0, 8, 1], [1, 4, 4, 17], [7, 6, 50, 51], [43, 36, 26, 13], [24, 1, 27, 14], [1, 8, 0, 1]], 'adelic_image': '56.48.0.?', 'conductor': 154, 'lmfdb_label': '154.c1', 'prime': 0}
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id: 597
{'conductor': 154, 'elladic_image': '8.24.0.58', 'lmfdb_label': '154.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 154.c does not appear in ec_padic