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ec_curvedata • Show schema
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{'Ciso': '5819a', 'Clabel': '5819a1', 'Cnumber': 1, 'abc_quality': 0.8254556483942886, 'absD': 1628394779, 'adelic_genus': 37, 'adelic_index': 1200, 'adelic_level': 12650, 'ainvs': [0, -1, 1, -176, -2082], 'analytic_rank': 0, 'bad_primes': [11, 23], 'class_deg': 25, 'class_size': 3, 'cm': 0, 'conductor': 5819, 'degree': 2530, 'elladic_images': ['25.60.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.45501831062912159341398248783', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 0, 'isogeny_degrees': [1, 5, 25], 'jinv': [-4096, 11], 'lmfdb_iso': '5819.a', 'lmfdb_label': '5819.a3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 1, 0, 0], 'min_quad_twist_disc': -23, 'modell_images': ['5B.4.1'], 'modm_images': ['5.12.0.a.1', '22.2.0.a.1', '25.60.0.a.1', '110.24.1.?', '115.24.0.?', '275.300.12.?', '550.600.37.?', '575.120.0.?', '2530.48.1.?', '6325.600.12.?', '12650.1200.37.?'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 2, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[11, 12, 529], [23, 266, 11]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.1127287973354532519893939281', 'prec': 103}, 'szpiro_ratio': 3.329232150359142, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -2, -1, 2, -1, 2, 2, 0, -2, 2, -1, -2, 4, -4, 1, -4, 2, 4, 0, -2], 'aplist': [-2, -1, -1, 2, -1, 4, 2, 0, 0, 0, 7, -3, -8, 6, 8, 6, 5, -12, 7, -3, 4, 10, 6, -15, 7], 'class_deg': 25, 'class_size': 3, 'conductor': 5819, 'isogeny_matrix': [[1, 5, 25], [5, 1, 5], [25, 5, 1]], 'lmfdb_iso': '5819.a', 'trace_hash': 1670274379053755884}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.40250948335999115602347971996', 'prec': 103}, 'conductor': 5819, 'gens': [], 'heights': [], 'lmfdb_label': '5819.a3', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.60836858419530883797686315062', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '0.60836858419530883797686315061993154818', 'prec': 133}, 'tamagawa_product': 1, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [0, 1, 0], '3': [0, 0], '5': [0, 0], '7': [0, 0], '11': [0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0, 0], '23': 'a', '29': [0, 0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '5819.a3'}
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ec_torsion_growth • Show schema
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id: 302993
{'degree': 2, 'field': [6, -1, 1], 'lmfdb_label': '5819.a3', 'torsion': [5]}
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id: 302994
{'degree': 3, 'field': [1, 1, -1, 1], 'lmfdb_label': '5819.a3', 'torsion': [2]}
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id: 302995
{'degree': 6, 'field': [1, -1, 2, -3, 2, -1, 1], 'lmfdb_label': '5819.a3', 'torsion': [2, 2]}
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id: 302996
{'degree': 6, 'field': [146, 8, 104, -15, 19, -1, 1], 'lmfdb_label': '5819.a3', 'torsion': [10]}
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id: 302997
{'degree': 8, 'field': [-8207, -5780, -2198, 651, -249, 57, -2, -2, 1], 'lmfdb_label': '5819.a3', 'torsion': [3]}
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id: 302998
{'degree': 10, 'field': [22793, -5129, 10496, -2373, 2334, -484, 310, -52, 24, -3, 1], 'lmfdb_label': '5819.a3', 'torsion': [25]}
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id: 302999
{'degree': 12, 'field': [-5581609, 3012412, 496474, -1071618, 329451, 7480, 5508, 1856, -841, -96, 6, -2, 1], 'lmfdb_label': '5819.a3', 'torsion': [4]}
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id: 303000
{'degree': 12, 'field': [46656, -7776, -20736, 8424, 1584, -978, 511, -163, 44, 39, -16, -1, 1], 'lmfdb_label': '5819.a3', 'torsion': [2, 10]}
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id: 303001
{'degree': 16, 'field': [1423249, 0, 1540951, 0, 900400, 0, 326571, 0, 73929, 0, 10581, 0, 931, 0, 46, 0, 1], 'lmfdb_label': '5819.a3', 'torsion': [15]}
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id: 303002
{'degree': 20, 'field': [391359307120, -201798989320, -197073337760, 82835405380, 56343674751, -15067558982, -10745197080, 1347096085, 1309822655, -59173836, -109341243, -241640, 6474405, 202045, -268018, -11859, 7410, 305, -125, -3, 1], 'lmfdb_label': '5819.a3', 'torsion': [5]}
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ec_localdata • Show schema
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id: 114825
{'conductor': 5819, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '5819.a3', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 114826
{'conductor': 5819, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '5819.a3', 'prime': 23, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1702021
{'adelic_gens': [[1, 0, 50, 1], [1099, 0, 0, 12649], [1, 50, 0, 1], [9316, 7705, 3335, 6786], [38, 41, 10091, 9889], [4716, 4945, 9177, 3037], [12601, 50, 12600, 51]], 'adelic_image': '12650.1200.37.?', 'conductor': 5819, 'lmfdb_label': '5819.a3', 'prime': 0}
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id: 28694
{'conductor': 5819, 'elladic_image': '25.60.0.1', 'lmfdb_label': '5819.a3', 'modell_image': '5B.4.1', 'prime': 5}
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lmfdb_iso 5819.a does not appear in ec_padic