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ec_curvedata • Show schema
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{'Ciso': '14450d', 'Clabel': '14450d2', 'Cnumber': 2, 'abc_quality': 0.9141116648627406, 'absD': 191914062500, 'adelic_genus': 5, 'adelic_index': 192, 'adelic_level': 340, 'ainvs': [1, 0, 1, -9076, -334202], 'analytic_rank': 1, 'bad_primes': [2, 5, 17], 'class_deg': 5, 'class_size': 2, 'cm': 0, 'conductor': 14450, 'degree': 19200, 'elladic_images': ['4.4.0.1', '5.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0458217432725402132850971506', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 5, 'iso_nlabel': 9, 'isogeny_degrees': [1, 5], 'jinv': [-1723025, 4], 'lmfdb_iso': '14450.j', 'lmfdb_label': '14450.j1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 1, 1, -363, -2819], 'min_quad_twist_disc': 5, 'modell_images': ['5B'], 'modm_images': ['4.4.0.a.1', '5.6.0.a.1', '20.48.1.a.2', '68.8.0.b.1', '85.24.0.?', '340.192.5.?'], 'nonmax_primes': [2, 5], 'nonmax_rad': 10, 'num_bad_primes': 3, 'num_int_pts': 2, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '3.5256339546234404886958904689', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0036798531032641189445859482', 'prec': 103}, 'szpiro_ratio': 4.067215045500256, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, 0, -1, -3, -1, -2, 0, 0, 1, -1, 3, 0, 1, 0, 2, 0, 0], 'aplist': [-1, 1, 0, -3, 0, -1, 0, 0, 4, 4, -5, 8, 0, -4, 8, 11, 0, 0, 8, -15, -4, 11, -4, -10, 8], 'class_deg': 5, 'class_size': 2, 'conductor': 14450, 'isogeny_matrix': [[1, 5], [5, 1]], 'lmfdb_iso': '14450.j', 'trace_hash': 2004410392087817911}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.12348402462491309788721104814', 'prec': 103}, 'conductor': 14450, 'gens': [[143, 1067, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '3.5256339546234404886958904689', 'prec': 100}], 'lmfdb_label': '14450.j1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.24453513367217520499645782521', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.4485654814920108440492718757705244259', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [], 'xcoord_integral_points': [143]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [6, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 1, 0], '13': [1, 0], '17': 'a', '19': [1, 1, 0], '23': [1, 0], '29': [1, 0], '31': [3, 0], '37': [1, 0], '41': [1, 1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '14450.j1'}
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ec_torsion_growth • Show schema
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id: 745174
{'degree': 3, 'field': [-8, 12, -1, 1], 'lmfdb_label': '14450.j1', 'torsion': [2]}
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id: 745175
{'degree': 4, 'field': [171, 69, 11, -1, 1], 'lmfdb_label': '14450.j1', 'torsion': [5]}
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id: 745176
{'degree': 6, 'field': [17, 0, 47, 0, -1, 0, 1], 'lmfdb_label': '14450.j1', 'torsion': [2, 2]}
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id: 745177
{'degree': 8, 'field': [-38526, -13413, 4240, 1479, -105, -119, 3, 0, 1], 'lmfdb_label': '14450.j1', 'torsion': [3]}
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id: 745178
{'degree': 12, 'field': [-136, 68, -578, 3740, -8615, 8938, -5484, 2144, -485, 40, 12, -6, 1], 'lmfdb_label': '14450.j1', 'torsion': [4]}
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id: 745179
{'degree': 12, 'field': [251, 12, 526, -13915, 34675, -32348, 14259, -2478, -325, 225, -29, -3, 1], 'lmfdb_label': '14450.j1', 'torsion': [10]}
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id: 745180
{'degree': 20, 'field': [-1024, 0, 0, 0, 0, 144000, 0, 0, 0, 0, 2768, 0, 0, 0, 0, -156, 0, 0, 0, 0, 1], 'lmfdb_label': '14450.j1', 'torsion': [5]}
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ec_localdata • Show schema
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id: 317983
{'conductor': 14450, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '14450.j1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 317984
{'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '14450.j1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 317985
{'conductor': 14450, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '14450.j1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1760230
{'adelic_gens': [[327, 320, 40, 51], [6, 5, 325, 271], [1, 5, 0, 171], [1, 204, 280, 1], [8, 15, 225, 112], [221, 220, 120, 221], [241, 0, 0, 261], [1, 0, 120, 1]], 'adelic_image': '340.192.5.?', 'conductor': 14450, 'lmfdb_label': '14450.j1', 'prime': 0}
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id: 68635
{'conductor': 14450, 'elladic_image': '4.4.0.1', 'lmfdb_label': '14450.j1', 'modell_image': '2G', 'prime': 2}
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id: 68636
{'conductor': 14450, 'elladic_image': '5.6.0.1', 'lmfdb_label': '14450.j1', 'modell_image': '5B', 'prime': 5}
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ec_padic • Show schema
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id: 644899
{'lmfdb_iso': '14450.j', 'p': 7, 'prec': 20, 'unit': 4468161615839008, 'val': 1}
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id: 644902
{'lmfdb_iso': '14450.j', 'p': 13, 'prec': 20, 'unit': 561054498160545289196, 'val': 1}
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id: 644906
{'lmfdb_iso': '14450.j', 'p': 23, 'prec': 20, 'unit': 61792417800565642462948442, 'val': 1}
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id: 644910
{'lmfdb_iso': '14450.j', 'p': 29, 'prec': 20, 'unit': 3182759407311460917786780775, 'val': 1}
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id: 644911
{'lmfdb_iso': '14450.j', 'p': 31, 'prec': 20, 'unit': 698776381758729466954651624, 'val': 2}
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id: 644898
{'lmfdb_iso': '14450.j', 'p': 37, 'prec': 20, 'unit': 489007457522230069372304220740, 'val': 1}
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id: 644901
{'lmfdb_iso': '14450.j', 'p': 43, 'prec': 20, 'unit': 9873673814259509687180898509838, 'val': 1}
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id: 644903
{'lmfdb_iso': '14450.j', 'p': 47, 'prec': 20, 'unit': 23891007539503626287468110191808, 'val': 1}
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id: 644905
{'lmfdb_iso': '14450.j', 'p': 53, 'prec': 20, 'unit': 114046936490313615623731599106442, 'val': 1}
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id: 644897
{'lmfdb_iso': '14450.j', 'p': 67, 'prec': 20, 'unit': 1348473386051906972541189313630313, 'val': 1}
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id: 644908
{'lmfdb_iso': '14450.j', 'p': 71, 'prec': 20, 'unit': 59752342563526684725825592850903364, 'val': 1}
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id: 644900
{'lmfdb_iso': '14450.j', 'p': 73, 'prec': 20, 'unit': 246855023546726771823346450350273098, 'val': 1}
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id: 644909
{'lmfdb_iso': '14450.j', 'p': 79, 'prec': 20, 'unit': 521707642653608667727963663462548409, 'val': 1}
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id: 644904
{'lmfdb_iso': '14450.j', 'p': 83, 'prec': 20, 'unit': 1156651075404152228564672622914159894, 'val': 1}
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id: 644907
{'lmfdb_iso': '14450.j', 'p': 89, 'prec': 20, 'unit': 7493563625486811816075632563075897760, 'val': 1}
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id: 644896
{'lmfdb_iso': '14450.j', 'p': 97, 'prec': 20, 'unit': 44571733739159416292122684880534714805, 'val': 1}