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ec_curvedata • Show schema
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{'Ciso': '2310f', 'Clabel': '2310f2', 'Cnumber': 2, 'abc_quality': 0.9494265801519679, 'absD': 140040608400, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 4620, 'ainvs': [1, 0, 1, -1744, 21326], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 2560, 'elladic_images': ['2.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.85005303018674033367594518634', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2], 'jinv': [586145095611769, 140040608400], 'lmfdb_iso': '2310.f', 'lmfdb_label': '2310.f3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -1744, 21326], 'min_quad_twist_disc': 1, 'modell_images': ['2Cs'], 'modm_images': ['2.6.0.a.1', '12.12.0-2.a.1.1', '20.12.0-2.a.1.1', '60.24.0-60.a.1.3', '308.12.0.?', '924.24.0.?', '1540.24.0.?', '4620.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 22, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.26535077146103071398520036626', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.85005303018674033367594518634', 'prec': 103}, 'szpiro_ratio': 4.390519841110139, 'torsion': 4, 'torsion_primes': [2], 'torsion_structure': [2, 2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 1, 1, -1, -1, -1, -1, 1, 1, 1, 1, -2, 1, -1, 1, -2, -1, 4, -1], 'aplist': [-1, 1, -1, -1, 1, -2, -2, 4, -4, -6, -4, -2, 10, 4, -8, -6, -4, -2, -12, -8, 2, 4, 0, -10, -2], 'class_deg': 4, 'class_size': 4, 'conductor': 2310, 'isogeny_matrix': [[1, 4, 2, 4], [4, 1, 2, 4], [2, 2, 1, 2], [4, 4, 2, 1]], 'lmfdb_iso': '2310.f', 'trace_hash': 1215771082011633382}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.18266414959739399903546579663', 'prec': 103}, 'conductor': 2310, 'gens': [[61, 347, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.26535077146103071398520036626', 'prec': 103}], 'lmfdb_label': '2310.f3', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.97208984313206477442524232568', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.5794478980452571715261637859032260821', 'prec': 130}, 'tamagawa_product': 160, 'torsion_generators': [[-47, 23, 1], [33, -17, 1]], 'xcoord_integral_points': [-47, -44, -11, -2, 13, 33, 34, 61, 88, 145, 394, 1573]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [20, 0], '5': [1, 0], '7': [1, 0], '11': [2, 0], '13': [1, 0], '17': [1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '2310.f3'}
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ec_torsion_growth • Show schema
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id: 117268
{'degree': 4, 'field': [25, 0, -5, 0, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 4]}
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id: 117269
{'degree': 4, 'field': [324, 0, -41, 0, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 4]}
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id: 117270
{'degree': 4, 'field': [400, 0, 37, 0, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 4]}
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id: 117271
{'degree': 8, 'field': [-5240, -3883, 3610, 545, -269, -7, 7, -4, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 6]}
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id: 117273
{'degree': 16, 'field': [65536, 98304, 53248, 6144, -13568, -9600, 352, 1872, 100, -468, 22, 150, -53, -6, 13, -6, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 8]}
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id: 117274
{'degree': 16, 'field': [11939649381, 10782157848, -9963772060, -1595659120, 700508990, 101729224, -9510848, -19553960, 3251055, 996840, -106968, -47384, 5410, 1120, -140, -8, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 8]}
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id: 117272
{'degree': 16, 'field': [25473436816, 0, 9484056136, 0, 1575327833, 0, 152469684, 0, 9417548, 0, 380298, 0, 9812, 0, 148, 0, 1], 'lmfdb_label': '2310.f3', 'torsion': [4, 4]}
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id: 117275
{'degree': 16, 'field': [255305857284, 0, 40738928616, 0, 1260071640, 0, -565030404, 0, 36518373, 0, -1209492, 0, 26310, 0, -216, 0, 1], 'lmfdb_label': '2310.f3', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 38794
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.f3', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38795
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '2310.f3', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 10}
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id: 38796
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.f3', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38797
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.f3', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38798
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.f3', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 1678908
{'adelic_gens': [[1851, 2, 1846, 4619], [661, 2, 0, 1], [1, 4, 0, 1], [2311, 4, 2, 9], [2521, 2, 0, 1], [1, 0, 4, 1], [4617, 4, 4616, 5], [1541, 4, 3082, 9]], 'adelic_image': '4620.48.0.?', 'conductor': 2310, 'lmfdb_label': '2310.f3', 'prime': 0}
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id: 11319
{'conductor': 2310, 'elladic_image': '2.6.0.1', 'lmfdb_label': '2310.f3', 'modell_image': '2Cs', 'prime': 2}
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ec_padic • Show schema
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id: 69653
{'lmfdb_iso': '2310.f', 'p': 13, 'prec': 20, 'unit': 37499589381664018731, 'val': 1}
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id: 69655
{'lmfdb_iso': '2310.f', 'p': 17, 'prec': 20, 'unit': 88299458366452594484517, 'val': 1}
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id: 69656
{'lmfdb_iso': '2310.f', 'p': 19, 'prec': 20, 'unit': 1864943266765509265753255, 'val': 1}
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id: 69660
{'lmfdb_iso': '2310.f', 'p': 23, 'prec': 20, 'unit': 3718463631912663212829583, 'val': 1}
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id: 69652
{'lmfdb_iso': '2310.f', 'p': 29, 'prec': 20, 'unit': 1581519905257324943097567392, 'val': 1}
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id: 69664
{'lmfdb_iso': '2310.f', 'p': 31, 'prec': 20, 'unit': 7786582816261365519063334302, 'val': 1}
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id: 69648
{'lmfdb_iso': '2310.f', 'p': 37, 'prec': 20, 'unit': 118992153120546806743257855778, 'val': 1}
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id: 69650
{'lmfdb_iso': '2310.f', 'p': 41, 'prec': 20, 'unit': 1675521781942495597045128045668, 'val': 1}
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id: 69651
{'lmfdb_iso': '2310.f', 'p': 43, 'prec': 20, 'unit': 5416932914124849588841637803085, 'val': 1}
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id: 69662
{'lmfdb_iso': '2310.f', 'p': 47, 'prec': 20, 'unit': 25955728667824080474135516924393, 'val': 1}
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id: 69657
{'lmfdb_iso': '2310.f', 'p': 53, 'prec': 20, 'unit': 185798072000602462028050020211715, 'val': 1}
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id: 69658
{'lmfdb_iso': '2310.f', 'p': 59, 'prec': 20, 'unit': 3354780678462698469673241542200832, 'val': 1}
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id: 69663
{'lmfdb_iso': '2310.f', 'p': 61, 'prec': 20, 'unit': 5302672225293981825825715168950165, 'val': 1}
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id: 69647
{'lmfdb_iso': '2310.f', 'p': 67, 'prec': 20, 'unit': 10865913447442369879747855767951294, 'val': 1}
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id: 69649
{'lmfdb_iso': '2310.f', 'p': 71, 'prec': 20, 'unit': 110812295162733920719691430861644419, 'val': 1}
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id: 69659
{'lmfdb_iso': '2310.f', 'p': 73, 'prec': 20, 'unit': 96383797952402686027250413513187755, 'val': 1}
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id: 69654
{'lmfdb_iso': '2310.f', 'p': 79, 'prec': 20, 'unit': 487877394724840868701669401029650947, 'val': 1}
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id: 69661
{'lmfdb_iso': '2310.f', 'p': 89, 'prec': 20, 'unit': 3892134799262186528490832287188244884, 'val': 1}
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id: 69646
{'lmfdb_iso': '2310.f', 'p': 97, 'prec': 20, 'unit': 19938153225962878285445923374315158658, 'val': 1}