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ec_curvedata • Show schema
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{'Ciso': '19600u', 'Clabel': '19600u2', 'Cnumber': 2, 'abc_quality': 0.8901419193332675, 'absD': 6860000000000, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 56, 'ainvs': [0, -1, 0, -6008, -125488], 'analytic_rank': 0, 'bad_primes': [2, 5, 7], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 19600, 'degree': 36864, 'elladic_images': ['8.6.0.3'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1696142031284135664771054065', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 82, 'isogeny_degrees': [1, 2], 'jinv': [2185454, 625], 'lmfdb_iso': '19600.de', 'lmfdb_label': '19600.de1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -240, 1100], 'min_quad_twist_disc': -20, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '8.6.0.e.1', '28.6.0.c.1', '56.12.0.bd.1'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.75696720586574814739874189064', 'prec': 107}, 'szpiro_ratio': 3.8161716113469506, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, -4, 0, -2, 0, 0, 0, 0, 0, -2, 0], 'aplist': [0, 2, 0, 0, -4, -2, 0, -2, -4, 10, -4, 2, -12, -4, 4, -2, -10, 6, 4, 12, 4, 4, 14, 8, 8], 'class_deg': 2, 'class_size': 2, 'conductor': 19600, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '19600.de', 'trace_hash': 2262557533484502090}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.096401992715485031274759077981', 'prec': 107}, 'conductor': 19600, 'gens': [], 'heights': [], 'lmfdb_label': '19600.de1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.55407189646890647308864859522', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.2162875858756258923545943808646126334', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[-23, 0, 1]], 'xcoord_integral_points': [-23]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '5': 'a', '7': 'a'}, 'iwp0': 3, 'lmfdb_label': '19600.de1'}
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ec_torsion_growth • Show schema
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id: 1001301
{'degree': 2, 'field': [-14, 0, 1], 'lmfdb_label': '19600.de1', 'torsion': [2, 2]}
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id: 1001302
{'degree': 4, 'field': [79, 17, 10, -1, 1], 'lmfdb_label': '19600.de1', 'torsion': [4]}
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id: 1001305
{'degree': 8, 'field': [-33075, 0, -8820, 0, -630, 0, 0, 0, 1], 'lmfdb_label': '19600.de1', 'torsion': [6]}
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id: 1001303
{'degree': 8, 'field': [569, -362, -187, -30, 106, 22, -17, -2, 1], 'lmfdb_label': '19600.de1', 'torsion': [2, 4]}
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id: 1001304
{'degree': 8, 'field': [2704, 0, -1824, 0, -368, 0, -8, 0, 1], 'lmfdb_label': '19600.de1', 'torsion': [2, 4]}
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id: 1001306
{'degree': 16, 'field': [16, 0, -88, 0, 188, 0, -44, 0, 148, 0, 22, 0, 47, 0, 11, 0, 1], 'lmfdb_label': '19600.de1', 'torsion': [8]}
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id: 1001307
{'degree': 16, 'field': [86304100, 0, -260690320, 0, 177825076, 0, -15056856, 0, 698340, 0, -33540, 0, 1360, 0, -16, 0, 1], 'lmfdb_label': '19600.de1', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 443453
{'conductor': 19600, 'conductor_valuation': 4, 'discriminant_valuation': 11, 'j_denominator_valuation': 0, 'kodaira_symbol': -7, 'lmfdb_label': '19600.de1', 'prime': 2, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 443454
{'conductor': 19600, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 4, 'kodaira_symbol': -8, 'lmfdb_label': '19600.de1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 4}
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id: 443455
{'conductor': 19600, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '19600.de1', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1795073
{'adelic_gens': [[1, 2, 2, 5], [36, 25, 49, 8], [2, 1, 27, 0], [3, 4, 8, 11], [53, 4, 52, 5], [12, 1, 39, 0], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '56.12.0.?', 'conductor': 19600, 'lmfdb_label': '19600.de1', 'prime': 0}
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id: 91566
{'conductor': 19600, 'elladic_image': '8.6.0.3', 'lmfdb_label': '19600.de1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 19600.de does not appear in ec_padic