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ec_curvedata • Show schema
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{'Ciso': '2310f', 'Clabel': '2310f4', 'Cnumber': 4, 'abc_quality': 0.9830640731165118, 'absD': 170843779260, 'adelic_genus': 0, 'adelic_index': 48, 'adelic_level': 9240, 'ainvs': [1, 0, 1, -26044, 1615406], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 7, 11], 'class_deg': 4, 'class_size': 4, 'cm': 0, 'conductor': 2310, 'degree': 5120, 'elladic_images': ['4.6.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.1966266204667129883845612471', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 4, 'iso_nlabel': 5, 'isogeny_degrees': [1, 2, 4], 'jinv': [1953542217204454969, 170843779260], 'lmfdb_iso': '2310.f', 'lmfdb_label': '2310.f1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -26044, 1615406], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '4.6.0.c.1', '12.12.0-4.c.1.1', '20.12.0-4.c.1.2', '60.24.0-60.h.1.4', '616.12.0.?', '1848.24.0.?', '3080.24.0.?', '9240.48.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 16, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '0.13267538573051535699260018313', 'prec': 103}, 'semistable': True, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1966266204667129883845612471', 'prec': 100}, 'szpiro_ratio': 5.437851604277411, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [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': '0.091332074798696999517732898315', 'prec': 107}, 'conductor': 2310, 'gens': [[91, -79, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '0.13267538573051535699260018313', 'prec': 103}], 'lmfdb_label': '2310.f1', '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': 80, 'torsion_generators': [[375, -379, 2]], 'xcoord_integral_points': [-129, -41, 25, 91, 94, 106, 124, 1576]}
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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.f1'}
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ec_torsion_growth • Show schema
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id: 117290
{'degree': 2, 'field': [-15, 0, 1], 'lmfdb_label': '2310.f1', 'torsion': [2, 2]}
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id: 117292
{'degree': 2, 'field': [-3, 0, 1], 'lmfdb_label': '2310.f1', 'torsion': [4]}
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id: 117291
{'degree': 2, 'field': [-1, -1, 1], 'lmfdb_label': '2310.f1', 'torsion': [4]}
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id: 117293
{'degree': 4, 'field': [1, 8, -7, -2, 1], 'lmfdb_label': '2310.f1', 'torsion': [2, 4]}
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id: 117297
{'degree': 8, 'field': [-5240, -3883, 3610, 545, -269, -7, 7, -4, 1], 'lmfdb_label': '2310.f1', 'torsion': [6]}
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id: 117294
{'degree': 8, 'field': [21, -78, 120, -78, 34, -2, 0, -2, 1], 'lmfdb_label': '2310.f1', 'torsion': [2, 4]}
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id: 117295
{'degree': 8, 'field': [25631, 24964, -21928, -5968, 2725, 308, -98, -4, 1], 'lmfdb_label': '2310.f1', 'torsion': [8]}
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id: 117296
{'degree': 8, 'field': [57600, 0, -25920, 0, 4089, 0, -108, 0, 1], 'lmfdb_label': '2310.f1', 'torsion': [8]}
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id: 117300
{'degree': 16, 'field': [-5784119, 24756688, 15700290, -61439100, -14008020, 42940824, 2523742, -12375860, 620625, 1499880, -153918, -75924, 9560, 1400, -180, -8, 1], 'lmfdb_label': '2310.f1', 'torsion': [2, 8]}
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id: 117298
{'degree': 16, 'field': [1, -6, 18, -36, 37, 0, -18, 42, -60, 42, -18, 0, 37, -36, 18, -6, 1], 'lmfdb_label': '2310.f1', 'torsion': [4, 4]}
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id: 117303
{'degree': 16, 'field': [324, 0, -32211, 0, 29250, 0, -18117, 0, 4275, 0, 183, 0, -45, 0, -6, 0, 1], 'lmfdb_label': '2310.f1', 'torsion': [12]}
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id: 117302
{'degree': 16, 'field': [2650384, 0, -62501824, 0, 21450880, 0, -3213277, 0, 207610, 0, 6563, 0, -503, 0, -10, 0, 1], 'lmfdb_label': '2310.f1', 'torsion': [12]}
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id: 117301
{'degree': 16, 'field': [126562500, 0, -2516484375, 0, 457031250, 0, -56615625, 0, 2671875, 0, 22875, 0, -1125, 0, -30, 0, 1], 'lmfdb_label': '2310.f1', 'torsion': [2, 6]}
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id: 117299
{'degree': 16, 'field': [17986111396, -4460072056, 5039843900, -1202699640, 711664754, -139282616, 58282942, -10869420, 3630301, -653496, 176842, -26812, 5864, -672, 116, -8, 1], 'lmfdb_label': '2310.f1', 'torsion': [2, 8]}
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ec_localdata • Show schema
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id: 38804
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '2310.f1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38805
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 5, 'j_denominator_valuation': 5, 'kodaira_symbol': 9, 'lmfdb_label': '2310.f1', 'prime': 3, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 5}
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id: 38806
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2310.f1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 38807
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.f1', 'prime': 7, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 38808
{'conductor': 2310, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '2310.f1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 4}
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ec_galrep • Show schema
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id: 1678906
{'adelic_gens': [[9233, 8, 9232, 9], [1856, 3, 5, 2], [1, 8, 0, 1], [8088, 3473, 8113, 8160], [5779, 5778, 8098, 3475], [1, 0, 8, 1], [6164, 1, 3103, 6], [5281, 8, 2644, 33], [1, 4, 4, 17], [2521, 8, 844, 33], [7, 6, 9234, 9235]], 'adelic_image': '9240.48.0.?', 'conductor': 2310, 'lmfdb_label': '2310.f1', 'prime': 0}
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id: 11317
{'conductor': 2310, 'elladic_image': '4.6.0.1', 'lmfdb_label': '2310.f1', 'modell_image': '2B', '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}