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ec_curvedata • Show schema
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{'Ciso': '4800w', 'Clabel': '4800w2', 'Cnumber': 2, 'abc_quality': 1.0045688963827404, 'absD': 298598400000000, 'adelic_genus': 5, 'adelic_index': 384, 'adelic_level': 120, 'ainvs': [0, 1, 0, -29633, 1768863], 'analytic_rank': 0, 'bad_primes': [2, 3, 5], 'class_deg': 12, 'class_size': 8, 'cm': 0, 'conductor': 4800, 'degree': 18432, 'elladic_images': ['8.12.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5127259776592923313092314912', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 68, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [702595369, 72900], 'lmfdb_iso': '4800.cq', 'lmfdb_label': '4800.cq6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -19, 26], 'min_quad_twist_disc': 40, 'modell_images': ['2Cs', '3B'], 'modm_images': ['2.6.0.a.1', '3.4.0.a.1', '6.24.0.a.1', '8.12.0-2.a.1.1', '12.96.0-12.a.2.14', '20.12.0-2.a.1.1', '24.192.1-24.cp.4.11', '40.24.0-40.a.1.3', '60.192.1-60.h.1.14', '120.384.5.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.33171374939767582011699635760', 'prec': 107}, 'szpiro_ratio': 5.014359027456229, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 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, -6, 0, 4, 0], 'aplist': [0, 1, 0, 4, 0, 2, -6, 4, 0, 6, 8, 2, -6, -4, 0, -6, 0, 10, -4, 0, -2, 8, 12, 18, -2], 'class_deg': 12, 'class_size': 8, 'conductor': 4800, 'isogeny_matrix': [[1, 4, 2, 12, 3, 6, 4, 12], [4, 1, 2, 3, 12, 6, 4, 12], [2, 2, 1, 6, 6, 3, 2, 6], [12, 3, 6, 1, 4, 2, 12, 4], [3, 12, 6, 4, 1, 2, 12, 4], [6, 6, 3, 2, 2, 1, 6, 2], [4, 4, 2, 12, 12, 6, 1, 3], [12, 12, 6, 4, 4, 2, 3, 1]], 'lmfdb_iso': '4800.cq', 'trace_hash': 1698048487288889980}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.048535880262978992387393752081', 'prec': 107}, 'conductor': 4800, 'gens': [], 'heights': [], 'lmfdb_label': '4800.cq6', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.52998955491198357879226941858', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.1799373294719014727536165114730548453', 'prec': 130}, 'tamagawa_product': 96, 'torsion_generators': [[73, 0, 1], [123, 0, 1]], 'xcoord_integral_points': [-197, 73, 123]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': 'a'}, 'iwp0': 5, 'lmfdb_label': '4800.cq6'}
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ec_torsion_growth • Show schema
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id: 249364
{'degree': 2, 'field': [-10, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 6]}
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id: 249365
{'degree': 4, 'field': [4, 0, -6, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 12]}
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id: 249367
{'degree': 4, 'field': [6, -12, 13, -2, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 4]}
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id: 249366
{'degree': 4, 'field': [81, 0, 12, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 4]}
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id: 249368
{'degree': 6, 'field': [30, 0, 40, 0, 10, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 6]}
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id: 249369
{'degree': 8, 'field': [36, 0, 12, 0, 13, 0, -8, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 12]}
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id: 249370
{'degree': 8, 'field': [81, 0, 36, 0, 7, 0, 4, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 12]}
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id: 249372
{'degree': 12, 'field': [81, 0, -24, 0, 355, 0, -100, 0, 15, 0, -4, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 12]}
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id: 249371
{'degree': 12, 'field': [81, 54, 171, -450, 240, -66, 121, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '4800.cq6', 'torsion': [6, 6]}
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id: 249373
{'degree': 16, 'field': [1, 0, 0, 0, -7, 0, 0, 0, 48, 0, 0, 0, -7, 0, 0, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [4, 12]}
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id: 249374
{'degree': 16, 'field': [16, 0, -256, 0, 1240, 0, -1824, 0, 384, 0, -144, 0, 70, 0, -16, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 24]}
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id: 249375
{'degree': 16, 'field': [1296, 0, -864, 0, 432, 0, 120, 0, -119, 0, 20, 0, 12, 0, -4, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 8]}
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id: 249376
{'degree': 16, 'field': [3600, 0, 0, 0, 480, 0, -1440, 0, 136, 0, 32, 0, 24, 0, 8, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 8]}
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id: 249377
{'degree': 18, 'field': [-72900000, 0, 7290000, 0, 2430000, 0, -863100, 0, -140400, 0, 92700, 0, -12070, 0, 660, 0, -30, 0, 1], 'lmfdb_label': '4800.cq6', 'torsion': [2, 18]}
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ec_localdata • Show schema
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id: 91981
{'conductor': 4800, 'conductor_valuation': 6, 'discriminant_valuation': 20, 'j_denominator_valuation': 2, 'kodaira_symbol': -14, 'lmfdb_label': '4800.cq6', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 91982
{'conductor': 4800, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '4800.cq6', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 91983
{'conductor': 4800, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 2, 'kodaira_symbol': -6, 'lmfdb_label': '4800.cq6', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1695230
{'adelic_gens': [[1, 12, 0, 1], [53, 114, 6, 5], [109, 12, 108, 13], [9, 4, 104, 113], [31, 12, 66, 73], [1, 0, 12, 1], [23, 114, 0, 119], [81, 4, 22, 9]], 'adelic_image': '120.384.5.?', 'conductor': 4800, 'lmfdb_label': '4800.cq6', 'prime': 0}
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id: 23755
{'conductor': 4800, 'elladic_image': '8.12.0.1', 'lmfdb_label': '4800.cq6', 'modell_image': '2Cs', 'prime': 2}
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id: 23756
{'conductor': 4800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '4800.cq6', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 4800.cq does not appear in ec_padic