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ec_curvedata • Show schema
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{'Ciso': '2394a', 'Clabel': '2394a4', 'Cnumber': 4, 'abc_quality': 1.0103258818153782, 'absD': 51856228240488, 'adelic_genus': 1, 'adelic_index': 96, 'adelic_level': 3192, 'ainvs': [1, -1, 0, -11922, 364940], 'analytic_rank': 1, 'bad_primes': [2, 3, 7, 19], 'class_deg': 6, 'class_size': 4, 'cm': 0, 'conductor': 2394, 'degree': 6912, 'elladic_images': ['2.3.0.1', '3.8.0.2'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.3390352475507146427813281301', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [9521387989875, 2634569336], 'lmfdb_iso': '2394.d', 'lmfdb_label': '2394.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 0, -11922, 364940], 'min_quad_twist_disc': 1, 'modell_images': ['2B', '3B.1.2'], 'modm_images': ['2.3.0.a.1', '3.8.0-3.a.1.1', '6.24.0-6.a.1.2', '168.48.0.?', '228.48.0.?', '1064.6.0.?', '3192.96.1.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 6, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.3889627584621048005582549973', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.51507603104963237423489420241', 'prec': 103}, 'szpiro_ratio': 5.111617924803484, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, 0, 1, 0, 0, 1, -1, 0, 0, 0, 0, 2, -1, 0, 1, -6, 0, 1, 0], 'aplist': [-1, 0, 0, 1, 0, 2, -6, 1, -6, 6, -10, 8, -6, -4, 0, -6, 0, 2, 14, -12, 2, -4, -6, -6, -4], 'class_deg': 6, 'class_size': 4, 'conductor': 2394, 'isogeny_matrix': [[1, 3, 2, 6], [3, 1, 6, 2], [2, 6, 1, 3], [6, 2, 3, 1]], 'lmfdb_iso': '2394.d', 'trace_hash': 1449186269941438805}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.068695574808146828237861126926', 'prec': 107}, 'conductor': 2394, 'gens': [[179, 1896, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.3889627584621048005582549973', 'prec': 100}], 'lmfdb_label': '2394.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.58913112484024207718459188973', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '2.4548435767619557975827603534666276840', 'prec': 130}, 'tamagawa_product': 12, 'torsion_generators': [[355, -355, 2]], 'xcoord_integral_points': [179, 217, 15607]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': 'a', '5': [1, 1, 0], '7': [2, 0], '11': [1, 1, 0], '13': [1, 0], '17': [1, 0], '19': [2, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 1, 0]}, 'iwp0': 0, 'lmfdb_label': '2394.d1'}
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ec_torsion_growth • Show schema
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id: 122127
{'degree': 2, 'field': [-42, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 2]}
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id: 122128
{'degree': 2, 'field': [1, -1, 1], 'lmfdb_label': '2394.d1', 'torsion': [6]}
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id: 122129
{'degree': 3, 'field': [-7, 0, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [6]}
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id: 122130
{'degree': 4, 'field': [168, 0, -27, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [4]}
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id: 122131
{'degree': 4, 'field': [196, 0, -14, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 6]}
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id: 122133
{'degree': 6, 'field': [-1512, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 6]}
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id: 122132
{'degree': 6, 'field': [64, -24, -15, 7, 6, -3, 1], 'lmfdb_label': '2394.d1', 'torsion': [3, 6]}
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id: 122135
{'degree': 8, 'field': [49, 0, -5642, 0, 2538, 0, -122, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 4]}
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id: 122136
{'degree': 8, 'field': [28224, 0, 4536, 0, 561, 0, 27, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [12]}
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id: 122134
{'degree': 8, 'field': [529984, 0, 87808, 0, 6216, 0, 112, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 4]}
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id: 122137
{'degree': 12, 'field': [3249, -342, -819, 2190, -750, -462, 253, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '2394.d1', 'torsion': [6, 6]}
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id: 122138
{'degree': 12, 'field': [3630312, 0, 0, 0, 0, 0, -10395, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [12]}
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id: 122139
{'degree': 16, 'field': [1170724, 0, -5629784, 0, 3370685, 0, -4858622, 0, 743179, 0, 30116, 0, -1549, 0, -46, 0, 1], 'lmfdb_label': '2394.d1', 'torsion': [8]}
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id: 122141
{'degree': 16, 'field': [1528081, -7699816, 19146456, -28928192, 30789138, -23175504, 14065828, -6182840, 2522019, -716176, 210388, -39000, 8502, -952, 156, -8, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 12]}
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id: 122140
{'degree': 16, 'field': [4986289, -19194868, 57228570, -74147192, 77278901, -1516032, 12240634, -1337644, 1110348, -98452, 67294, -9144, 1853, 40, -18, -4, 1], 'lmfdb_label': '2394.d1', 'torsion': [2, 12]}
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id: 122142
{'degree': 18, 'field': [3229399, -19115019, 56606586, -117548283, 181100265, -188613240, 119610051, -43181565, 8634717, -456224, -285759, 105771, -18453, 1020, 33, -3, 24, -9, 1], 'lmfdb_label': '2394.d1', 'torsion': [18]}
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ec_localdata • Show schema
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id: 40626
{'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '2394.d1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 40627
{'conductor': 2394, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '2394.d1', 'prime': 3, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 40628
{'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '2394.d1', 'prime': 7, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 40629
{'conductor': 2394, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '2394.d1', 'prime': 19, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 6}
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ec_galrep • Show schema
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id: 1679471
{'adelic_gens': [[520, 3181, 2163, 32], [2746, 3, 885, 3184], [10, 3, 1569, 3184], [1, 0, 12, 1], [1, 6, 6, 37], [3181, 12, 3180, 13], [675, 136, 638, 125], [1, 12, 0, 1], [1009, 12, 2862, 73], [11, 2, 3142, 3183]], 'adelic_image': '3192.96.1.?', 'conductor': 2394, 'lmfdb_label': '2394.d1', 'prime': 0}
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id: 11767
{'conductor': 2394, 'elladic_image': '2.3.0.1', 'lmfdb_label': '2394.d1', 'modell_image': '2B', 'prime': 2}
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id: 11768
{'conductor': 2394, 'elladic_image': '3.8.0.2', 'lmfdb_label': '2394.d1', 'modell_image': '3B.1.2', 'prime': 3}
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ec_padic • Show schema
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id: 73012
{'lmfdb_iso': '2394.d', 'p': 13, 'prec': 20, 'unit': 984221603904395691370, 'val': 1}
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id: 73014
{'lmfdb_iso': '2394.d', 'p': 17, 'prec': 20, 'unit': 184374648513301157083656, 'val': 1}
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id: 73018
{'lmfdb_iso': '2394.d', 'p': 23, 'prec': 20, 'unit': 26532092096979459477127051, 'val': 1}
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id: 73011
{'lmfdb_iso': '2394.d', 'p': 29, 'prec': 20, 'unit': 5626172846294594612055041739, 'val': 1}
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id: 73021
{'lmfdb_iso': '2394.d', 'p': 31, 'prec': 20, 'unit': 3726727816156182587142361740, 'val': 1}
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id: 73007
{'lmfdb_iso': '2394.d', 'p': 37, 'prec': 20, 'unit': 436860193994340884451153751728, 'val': 1}
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id: 73009
{'lmfdb_iso': '2394.d', 'p': 41, 'prec': 20, 'unit': 4210399274873888412974541869060, 'val': 1}
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id: 73010
{'lmfdb_iso': '2394.d', 'p': 43, 'prec': 20, 'unit': 8251972918848370695507800934748, 'val': 1}
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id: 73016
{'lmfdb_iso': '2394.d', 'p': 53, 'prec': 20, 'unit': 410050887065753515059221277832887, 'val': 1}
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id: 73020
{'lmfdb_iso': '2394.d', 'p': 61, 'prec': 20, 'unit': 3990162158631305791222140481189376, 'val': 1}
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id: 73006
{'lmfdb_iso': '2394.d', 'p': 67, 'prec': 20, 'unit': 47073915779110750942850309038323913, 'val': 1}
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id: 73008
{'lmfdb_iso': '2394.d', 'p': 71, 'prec': 20, 'unit': 40664227982654988374429673908080762, 'val': 1}
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id: 73017
{'lmfdb_iso': '2394.d', 'p': 73, 'prec': 20, 'unit': 18066068934504203903313217852852028, 'val': 1}
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id: 73013
{'lmfdb_iso': '2394.d', 'p': 79, 'prec': 20, 'unit': 231591293978071282626319918373764081, 'val': 1}
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id: 73015
{'lmfdb_iso': '2394.d', 'p': 83, 'prec': 20, 'unit': 2129145806681580967050237566498693362, 'val': 1}
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id: 73019
{'lmfdb_iso': '2394.d', 'p': 89, 'prec': 20, 'unit': 2869788566724891935050145111683347955, 'val': 1}
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id: 73005
{'lmfdb_iso': '2394.d', 'p': 97, 'prec': 20, 'unit': 7510926438587625756739046792808866588, 'val': 1}