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ec_curvedata • Show schema
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{'Ciso': '5780b', 'Clabel': '5780b1', 'Cnumber': 1, 'abc_quality': 1.042132786881692, 'absD': 5580605952800000, 'adelic_genus': 6, 'adelic_index': 120, 'adelic_level': 20, 'ainvs': [0, 0, 0, -78608, -7683932], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 5780, 'degree': 18360, 'elladic_images': ['5.5.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.7566843517196454088857383447', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 1, 'isogeny_degrees': [1], 'jinv': [30081024, 3125], 'lmfdb_iso': '5780.b', 'lmfdb_label': '5780.b1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 0, 0, -272, -1564], 'min_quad_twist_disc': 17, 'modell_images': ['5S4'], 'modm_images': ['5.5.0.a.1', '10.30.0.a.1', '20.120.6.a.1'], 'nonmax_primes': [5], 'nonmax_rad': 5, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '4.3459166826339914638082799483', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.59422266469112885089210614819', 'prec': 107}, 'szpiro_ratio': 5.244684321425694, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 0, 0, -1, 0, 2, 0, -3, 0, -1, 0, 0, 0, 0, 0, 0, 0, 3, 0], 'aplist': [0, 0, -1, 2, -1, 0, 0, 3, 0, -3, 0, -2, 9, -6, 2, 6, -3, 1, -2, -9, -6, -3, -6, -3, -2], 'class_deg': 1, 'class_size': 1, 'conductor': 5780, 'isogeny_matrix': [[1]], 'lmfdb_iso': '5780.b', 'trace_hash': 1954718184179555979}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.029796370045639648456601869871', 'prec': 107}, 'conductor': 5780, 'gens': [[-144, 806, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '4.3459166826339914638082799483', 'prec': 100}], 'lmfdb_label': '5780.b1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28703699851634914806289612167', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7423166411561700574786305495662258741', 'prec': 130}, 'tamagawa_product': 3, 'torsion_generators': [], 'xcoord_integral_points': [-144]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [1, 1, 0], '5': [1, 0], '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': 'a', '19': [1, 0], '23': [1, 1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '5780.b1'}
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ec_torsion_growth • Show schema
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id: 300848
{'degree': 3, 'field': [5, -11, -1, 1], 'lmfdb_label': '5780.b1', 'torsion': [2]}
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id: 300849
{'degree': 6, 'field': [-125, -25, 130, 15, -26, -1, 1], 'lmfdb_label': '5780.b1', 'torsion': [2, 2]}
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id: 300850
{'degree': 8, 'field': [-3, 0, -36, 0, 6, 0, 0, 0, 1], 'lmfdb_label': '5780.b1', 'torsion': [3]}
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id: 300851
{'degree': 12, 'field': [180, 0, -568, 0, -1460, 0, -440, 0, 80, 0, 20, 0, 1], 'lmfdb_label': '5780.b1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 113939
{'conductor': 5780, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '5780.b1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 113940
{'conductor': 5780, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '5780.b1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 113941
{'conductor': 5780, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '5780.b1', 'prime': 17, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1701739
{'adelic_gens': [[19, 4, 2, 11], [10, 3, 13, 11], [6, 7, 5, 12], [10, 11, 19, 11], [13, 18, 10, 17], [19, 0, 0, 19]], 'adelic_image': '10.30.0.?', 'conductor': 5780, 'lmfdb_label': '5780.b1', 'prime': 0}
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id: 28476
{'conductor': 5780, 'elladic_image': '5.5.0.1', 'lmfdb_label': '5780.b1', 'modell_image': '5S4', 'prime': 5}
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ec_padic • Show schema
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id: 221127
{'lmfdb_iso': '5780.b', 'p': 7, 'prec': 20, 'unit': 10101467814651235, 'val': 1}
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id: 221132
{'lmfdb_iso': '5780.b', 'p': 11, 'prec': 20, 'unit': 4653123491603955508, 'val': 1}
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id: 221134
{'lmfdb_iso': '5780.b', 'p': 19, 'prec': 20, 'unit': 118262850491619182117719, 'val': 1}
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id: 221130
{'lmfdb_iso': '5780.b', 'p': 29, 'prec': 20, 'unit': 2170297953271052504363183832, 'val': 1}
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id: 221126
{'lmfdb_iso': '5780.b', 'p': 37, 'prec': 20, 'unit': 501997141091665771190647063534, 'val': 1}
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id: 221128
{'lmfdb_iso': '5780.b', 'p': 41, 'prec': 20, 'unit': 1945507594316429797211203650209, 'val': 1}
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id: 221129
{'lmfdb_iso': '5780.b', 'p': 43, 'prec': 20, 'unit': 9298988583963130697134437180990, 'val': 1}
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id: 221139
{'lmfdb_iso': '5780.b', 'p': 47, 'prec': 20, 'unit': 18745427971942616699242992703888, 'val': 1}
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id: 221135
{'lmfdb_iso': '5780.b', 'p': 53, 'prec': 20, 'unit': 460408233967303755976352481936008, 'val': 1}
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id: 221133
{'lmfdb_iso': '5780.b', 'p': 59, 'prec': 20, 'unit': 3503709569878778002463104049241830, 'val': 1}
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id: 221140
{'lmfdb_iso': '5780.b', 'p': 61, 'prec': 20, 'unit': 393604604673600570720270848062442500, 'val': -1}
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id: 221125
{'lmfdb_iso': '5780.b', 'p': 67, 'prec': 20, 'unit': 8126603536560470765649707982792392, 'val': 1}
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id: 221138
{'lmfdb_iso': '5780.b', 'p': 71, 'prec': 20, 'unit': 6573524340967141713209661905780270, 'val': 1}
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id: 221136
{'lmfdb_iso': '5780.b', 'p': 73, 'prec': 20, 'unit': 117612681207486149593960748084291431, 'val': 1}
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id: 221131
{'lmfdb_iso': '5780.b', 'p': 79, 'prec': 20, 'unit': 332974809881090464176184284527739593, 'val': 1}
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id: 221124
{'lmfdb_iso': '5780.b', 'p': 83, 'prec': 20, 'unit': 2065594264970760417005572013240367690, 'val': 1}
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id: 221137
{'lmfdb_iso': '5780.b', 'p': 89, 'prec': 20, 'unit': 2704733280893613459712308110632757512, 'val': 1}
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id: 221123
{'lmfdb_iso': '5780.b', 'p': 97, 'prec': 20, 'unit': 25385344426977360190411182176080087824, 'val': 1}