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ec_curvedata • Show schema
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{'Ciso': '29040bg', 'Clabel': '29040bg3', 'Cnumber': 3, 'abc_quality': 0.9815669003008649, 'absD': 4356491335863321600, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 440, 'ainvs': [0, 1, 0, -459840, 65578500], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 29040, 'degree': 491520, 'elladic_images': ['8.48.0.122'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.2743357671753094989566555376', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 4], 'jinv': [5927735656804, 2401490025], 'lmfdb_iso': '29040.dg', 'lmfdb_label': '29040.dg3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -3800, 50652], 'min_quad_twist_disc': 44, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '8.48.0-8.d.2.3', '40.96.0-40.n.1.14', '44.24.0-4.b.1.3', '88.96.0.?', '440.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, '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': '0.49776548030950313574465698073', 'prec': 103}, 'szpiro_ratio': 4.936491512576855, '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, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 6, 0, -4, 0], 'aplist': [0, 1, 1, 0, 0, 2, 6, -4, 0, -6, 8, 6, -10, -4, 8, -10, 12, -6, 4, 0, 14, 0, 4, -6, -14], 'class_deg': 8, 'class_size': 6, 'conductor': 29040, 'isogeny_matrix': [[1, 8, 4, 2, 4, 8], [8, 1, 2, 4, 8, 4], [4, 2, 1, 2, 4, 2], [2, 4, 2, 1, 2, 4], [4, 8, 4, 2, 1, 8], [8, 4, 2, 4, 8, 1]], 'lmfdb_iso': '29040.dg', 'trace_hash': 1494465706343014416}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.010581251880629110591775311929', 'prec': 107}, 'conductor': 29040, 'gens': [], 'heights': [], 'lmfdb_label': '29040.dg3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.22285531807737956066559757014', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.5656850892380729706495611222295688502', 'prec': 130}, 'tamagawa_product': 256, 'torsion_generators': [[150, 0, 1], [590, 0, 1]], 'xcoord_integral_points': [-741, 150, 590]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [11, 0], '5': [1, 0], '11': 'a'}, 'iwp0': 3, 'lmfdb_label': '29040.dg3'}
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ec_torsion_growth • Show schema
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id: 1454415
{'degree': 2, 'field': [3, -1, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 4]}
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id: 1454417
{'degree': 4, 'field': [1, 0, -42, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 4]}
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id: 1454418
{'degree': 4, 'field': [3, -10, 11, -2, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 8]}
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id: 1454416
{'degree': 4, 'field': [441, 0, -2, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 4]}
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id: 1454422
{'degree': 8, 'field': [-43923, 0, 3608, 0, -726, 0, 0, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 6]}
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id: 1454420
{'degree': 8, 'field': [20, -100, 186, -190, 141, -58, 24, -4, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 8]}
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id: 1454419
{'degree': 8, 'field': [881, 692, -588, -220, 141, -40, 18, -4, 1], 'lmfdb_label': '29040.dg3', 'torsion': [4, 4]}
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id: 1454421
{'degree': 8, 'field': [6561, 0, -10604, 0, 646, 0, -44, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 8]}
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id: 1454423
{'degree': 16, 'field': [12321, 0, 80620, 0, 160726, 0, -28960, 0, 12071, 0, -1240, 0, 146, 0, -20, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [4, 8]}
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id: 1454425
{'degree': 16, 'field': [14436, -9048, 12652, -11256, 19586, -28952, 34622, -31532, 22557, -13112, 6314, -2492, 840, -224, 52, -8, 1], 'lmfdb_label': '29040.dg3', 'torsion': [4, 8]}
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id: 1454424
{'degree': 16, 'field': [63001, 0, 114220, 0, 142606, 0, 30240, 0, -3249, 0, -840, 0, 226, 0, -20, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [4, 8]}
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id: 1454426
{'degree': 16, 'field': [390625, 0, 62500, 0, 313750, 0, 1007500, 0, 1033750, 0, 40300, 0, 502, 0, 4, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 16]}
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id: 1454427
{'degree': 16, 'field': [3515625, 0, 3226200, 0, 765550, 0, -207600, 0, 19047, 0, -992, 0, 294, 0, 0, 0, 1], 'lmfdb_label': '29040.dg3', 'torsion': [2, 12]}
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ec_localdata • Show schema
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id: 674509
{'conductor': 29040, 'conductor_valuation': 4, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -6, 'lmfdb_label': '29040.dg3', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 674510
{'conductor': 29040, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '29040.dg3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 8}
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id: 674511
{'conductor': 29040, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '29040.dg3', 'prime': 5, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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id: 674512
{'conductor': 29040, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '29040.dg3', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1858193
{'adelic_gens': [[359, 6, 258, 435], [3, 118, 102, 419], [433, 8, 432, 9], [1, 0, 8, 1], [5, 4, 436, 437], [439, 106, 436, 313], [119, 432, 36, 407], [1, 8, 0, 1]], 'adelic_image': '440.192.1.?', 'conductor': 29040, 'lmfdb_label': '29040.dg3', 'prime': 0}
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id: 131163
{'conductor': 29040, 'elladic_image': '8.48.0.122', 'lmfdb_label': '29040.dg3', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 29040.dg does not appear in ec_padic