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ec_curvedata • Show schema
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{'Ciso': '177870gp', 'Clabel': '177870gp2', 'Cnumber': 2, 'abc_quality': 1.0644140254035126, 'absD': 14237134699249553414400, 'adelic_genus': 1, 'adelic_index': 192, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -6077349, 544717072], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 8, 'class_size': 6, 'cm': 0, 'conductor': 177870, 'degree': 17694720, 'elladic_images': ['4.12.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.9405151539398268659649725121', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 84, 'isogeny_degrees': [1, 2, 4], 'jinv': [119102750067601, 68309049600], 'lmfdb_iso': '177870.dg', 'lmfdb_label': '177870.dg5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -1025, 767], 'min_quad_twist_disc': 77, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '4.12.0.b.1', '24.24.0.h.2', '40.24.0.i.1', '56.24.0-4.b.1.5', '60.24.0.c.1', '88.24.0.?', '120.48.0.?', '168.48.0.?', '264.48.0.?', '280.48.0.?', '308.24.0.?', '440.48.0.?', '616.48.0.?', '840.96.0.?', '1320.96.1.?', '1848.96.0.?', '3080.96.0.?', '4620.48.0.?', '9240.192.1.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.76861244301298494138132435140', 'prec': 103}, 'szpiro_ratio': 4.8370227340392775, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -1, -1, 0, -1, 1, 1, 0, 1, 6, 0, -1, 1, 2, -1, -4, -1], 'aplist': [-1, 1, -1, 0, 0, 6, 2, -4, 0, 10, 0, 6, 2, -4, 8, -10, 4, -2, -4, -8, 2, 8, -12, 6, -18], 'class_deg': 8, 'class_size': 6, 'conductor': 177870, 'isogeny_matrix': [[1, 8, 2, 4, 4, 8], [8, 1, 4, 8, 2, 4], [2, 4, 1, 2, 2, 4], [4, 8, 2, 1, 4, 8], [4, 2, 2, 4, 1, 2], [8, 4, 4, 8, 2, 1]], 'lmfdb_iso': '177870.dg', 'trace_hash': 306853768274905050}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0027919072686169707480886959433', 'prec': 110}, 'conductor': 177870, 'gens': [], 'heights': [], 'lmfdb_label': '177870.dg5', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.10700675329002743536294994450', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5681620789606584487107986679870123034', 'prec': 130}, 'tamagawa_product': 384, 'torsion_generators': [[-2509, 1254, 1], [2419, -1210, 1]], 'xcoord_integral_points': [-2509, 2419]}
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lmfdb_label 177870.dg5 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 7881405
{'degree': 2, 'field': [-19, -1, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 4]}
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id: 7881406
{'degree': 4, 'field': [529, 0, 31, 0, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 4]}
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id: 7881407
{'degree': 4, 'field': [5406, -162, 163, -2, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 4]}
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id: 7881411
{'degree': 8, 'field': [-25212, -99, 6504, -775, 247, 23, 25, -4, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 6]}
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id: 7881410
{'degree': 8, 'field': [44, 22, 71, -106, 132, -40, 22, -2, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 8]}
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id: 7881409
{'degree': 8, 'field': [289, 0, -414, 0, 191, 0, -30, 0, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 8]}
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id: 7881408
{'degree': 8, 'field': [58129, -23762, 26452, -5474, 2973, -286, 100, -4, 1], 'lmfdb_label': '177870.dg5', 'torsion': [4, 4]}
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id: 7881414
{'degree': 16, 'field': [-1668112, 8543984, -5830815, -5095644, 1697346, 1076802, -422681, -2912, 67299, -36050, -1073, 4440, -649, -70, 30, -8, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 12]}
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id: 7881413
{'degree': 16, 'field': [32729841, 0, -50988888, 0, 12643140, 0, 4694232, 0, 1250614, 0, 18488, 0, 3300, 0, 8, 0, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 8]}
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id: 7881412
{'degree': 16, 'field': [41129790321, -30913746096, 18068500650, -7378550340, 3001690864, -803474096, 268572362, -52134660, 14802421, -2206576, 534022, -61372, 12604, -1032, 176, -8, 1], 'lmfdb_label': '177870.dg5', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 4403120
{'conductor': 177870, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '177870.dg5', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4403121
{'conductor': 177870, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '177870.dg5', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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id: 4403122
{'conductor': 177870, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '177870.dg5', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 4403123
{'conductor': 177870, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '177870.dg5', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 4403124
{'conductor': 177870, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '177870.dg5', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 2809541
{'adelic_gens': [[799, 3962, 8694, 6595], [9233, 8, 9232, 9], [1, 0, 8, 1], [1, 8, 0, 1], [6719, 2632, 476, 1287], [5, 4, 9236, 9237], [8807, 2646, 6594, 6595], [3305, 336, 4284, 7253], [3963, 994, 1316, 4285], [3959, 0, 0, 9239]], 'adelic_image': '9240.192.1.?', 'conductor': 177870, 'lmfdb_label': '177870.dg5', 'prime': 0}
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id: 668541
{'conductor': 177870, 'elladic_image': '4.12.0.3', 'lmfdb_label': '177870.dg5', 'modell_image': '2Cs', 'prime': 2}
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lmfdb_iso 177870.dg does not appear in ec_padic