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ec_curvedata • Show schema
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{'Ciso': '882d', 'Clabel': '882d1', 'Cnumber': 1, 'abc_quality': 1.1169180726528216, 'absD': 214326, 'adelic_genus': 2, 'adelic_index': 96, 'adelic_level': 168, 'ainvs': [1, -1, 0, -9, 27], 'analytic_rank': 1, 'bad_primes': [2, 3, 7], 'class_deg': 7, 'class_size': 2, 'cm': 0, 'conductor': 882, 'degree': 96, 'elladic_images': ['7.24.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '-0.28917236670694783599234004700', 'prec': 107}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 3, 'isogeny_degrees': [1, 7], 'jinv': [-2401, 6], 'lmfdb_iso': '882.d', 'lmfdb_label': '882.d2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -1, -1], 'min_quad_twist_disc': -3, 'modell_images': ['7B.6.3'], 'modm_images': ['7.24.0.a.2', '21.48.0-7.a.2.2', '24.2.0.b.1', '56.48.0-7.a.2.5', '168.96.2.?'], 'nonmax_primes': [7], 'nonmax_rad': 7, 'num_bad_primes': 3, 'num_int_pts': 6, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.16580862904464266898002738580', 'prec': 103}, 'semistable': False, 'serre_invariants': [[2, 4, 441], [3, 8, 98], [7, 2, 18]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1627968692168882325408547894', 'prec': 103}, 'szpiro_ratio': 2.939797266561512, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 1, 0, 0, -1, 0, -1, -5, 0, 0, 0, 0, 1, -4, 0, -8, 1], 'aplist': [-1, 0, 1, 0, -5, 0, -4, -8, 4, 5, -3, -4, 0, 2, -6, 9, -11, 6, -2, -2, -10, 3, -7, -6, -7], 'class_deg': 7, 'class_size': 2, 'conductor': 882, 'isogeny_matrix': [[1, 7], [7, 1]], 'lmfdb_iso': '882.d', 'trace_hash': 1042063092827173414}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '1.7830845064547031541104654676', 'prec': 100}, 'conductor': 882, 'gens': [[3, 3, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.16580862904464266898002738580', 'prec': 103}], 'lmfdb_label': '882.d2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '2.7923167772661855762328584941', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8519608667874442881184657340075040381', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [-3, 3, 13]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [2, 0], '3': 'a', '5': [1, 0], '7': 'a', '11': [1, 0], '13': [1, 1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '882.d2'}
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ec_torsion_growth • Show schema
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id: 41819
{'degree': 3, 'field': [-6, -2, -1, 1], 'lmfdb_label': '882.d2', 'torsion': [2]}
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id: 41821
{'degree': 6, 'field': [1, -8, 8, 6, -6, -1, 1], 'lmfdb_label': '882.d2', 'torsion': [7]}
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id: 41820
{'degree': 6, 'field': [6, 0, 13, 0, 16, 0, 1], 'lmfdb_label': '882.d2', 'torsion': [2, 2]}
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id: 41822
{'degree': 8, 'field': [-24, 20, -80, 72, -76, 46, -12, -1, 1], 'lmfdb_label': '882.d2', 'torsion': [3]}
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id: 41823
{'degree': 12, 'field': [-2778, -736, 2589, -4260, -169, 2284, -2401, 1152, -361, 52, 5, -4, 1], 'lmfdb_label': '882.d2', 'torsion': [4]}
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id: 41824
{'degree': 14, 'field': [48, 0, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '882.d2', 'torsion': [7]}
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id: 41825
{'degree': 18, 'field': [1, -8, 15, 17, -63, 39, 15, -21, -54, -54, 117, 45, -23, 22, -3, -5, 2, 0, 1], 'lmfdb_label': '882.d2', 'torsion': [14]}
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ec_localdata • Show schema
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id: 11682
{'conductor': 882, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '882.d2', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 11683
{'conductor': 882, 'conductor_valuation': 2, 'discriminant_valuation': 7, 'j_denominator_valuation': 1, 'kodaira_symbol': -5, 'lmfdb_label': '882.d2', 'prime': 3, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 4}
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id: 11684
{'conductor': 882, 'conductor_valuation': 2, 'discriminant_valuation': 2, 'j_denominator_valuation': 0, 'kodaira_symbol': 2, 'lmfdb_label': '882.d2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1670141
{'adelic_gens': [[127, 14, 0, 1], [1, 0, 14, 1], [129, 80, 70, 113], [8, 5, 91, 57], [155, 14, 154, 15], [85, 14, 91, 99], [1, 14, 0, 1], [55, 154, 49, 69]], 'adelic_image': '168.96.2.?', 'conductor': 882, 'lmfdb_label': '882.d2', 'prime': 0}
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id: 4093
{'conductor': 882, 'elladic_image': '7.24.0.2', 'lmfdb_label': '882.d2', 'modell_image': '7B.6.3', 'prime': 7}
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ec_padic • Show schema
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id: 18549
{'lmfdb_iso': '882.d', 'p': 5, 'prec': 20, 'unit': 46806742583186, 'val': -1}
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id: 18556
{'lmfdb_iso': '882.d', 'p': 11, 'prec': 20, 'unit': 60256813185594209673, 'val': 1}
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id: 18557
{'lmfdb_iso': '882.d', 'p': 17, 'prec': 20, 'unit': 209972251501284081038223, 'val': 1}
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id: 18558
{'lmfdb_iso': '882.d', 'p': 19, 'prec': 20, 'unit': 1936783731011761283510997, 'val': 1}
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id: 18561
{'lmfdb_iso': '882.d', 'p': 23, 'prec': 20, 'unit': 51376999711900523732811572, 'val': 1}
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id: 18554
{'lmfdb_iso': '882.d', 'p': 29, 'prec': 20, 'unit': 2812938908277820832380498983, 'val': 1}
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id: 18551
{'lmfdb_iso': '882.d', 'p': 31, 'prec': 20, 'unit': 17074151617743472628144042413, 'val': 1}
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id: 18565
{'lmfdb_iso': '882.d', 'p': 37, 'prec': 20, 'unit': 326979168287855263045016105435, 'val': 1}
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id: 18553
{'lmfdb_iso': '882.d', 'p': 43, 'prec': 20, 'unit': 90978336358870309014005040984, 'val': 1}
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id: 18563
{'lmfdb_iso': '882.d', 'p': 47, 'prec': 20, 'unit': 27636887594823544586047986693873, 'val': 1}
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id: 18559
{'lmfdb_iso': '882.d', 'p': 53, 'prec': 20, 'unit': 403542970717271028103319798472476, 'val': 1}
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id: 18560
{'lmfdb_iso': '882.d', 'p': 59, 'prec': 20, 'unit': 4223372715656000176577295631593137, 'val': 1}
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id: 18564
{'lmfdb_iso': '882.d', 'p': 61, 'prec': 20, 'unit': 232476878555259541990002016701540, 'val': 1}
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id: 18548
{'lmfdb_iso': '882.d', 'p': 67, 'prec': 20, 'unit': 15528253367804852976769064100940189, 'val': 1}
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id: 18550
{'lmfdb_iso': '882.d', 'p': 71, 'prec': 20, 'unit': 101331094849214766287857173799509517, 'val': 1}
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id: 18552
{'lmfdb_iso': '882.d', 'p': 73, 'prec': 20, 'unit': 123560161264947863969934568961093551, 'val': 1}
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id: 18555
{'lmfdb_iso': '882.d', 'p': 79, 'prec': 20, 'unit': 991084564755170880439898055993456076, 'val': 1}
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id: 18547
{'lmfdb_iso': '882.d', 'p': 83, 'prec': 20, 'unit': 1506958922802505912043416213860106089, 'val': 1}
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id: 18562
{'lmfdb_iso': '882.d', 'p': 89, 'prec': 20, 'unit': 1421166583763661756971507438632922553, 'val': 1}
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id: 18546
{'lmfdb_iso': '882.d', 'p': 97, 'prec': 20, 'unit': 15814787427573207941291527320402089802, 'val': 1}