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ec_curvedata • Show schema
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{'Ciso': '327184ej', 'Clabel': '327184ej1', 'Cnumber': 1, 'abc_quality': 0.9441631306822449, 'absD': 67808092228205215744, 'adelic_genus': 0, 'adelic_index': 32, 'adelic_level': 312, 'ainvs': [0, -1, 0, 974736, 140253632], 'analytic_rank': 1, 'bad_primes': [2, 11, 13], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 327184, 'degree': 8667648, 'elladic_images': ['4.2.0.1', '3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.4940551982004833341874469239', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 113, 'isogeny_degrees': [1, 3], 'jinv': [24167, 16], 'lmfdb_iso': '327184.ej', 'lmfdb_label': '327184.ej2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 3, 1], 'min_quad_twist_disc': 572, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '4.2.0.a.1', '12.8.0.a.1', '24.16.0.b.1', '78.8.0.?', '104.4.0.?', '156.16.0.?', '312.32.0.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '24.497295156667244717534545301', 'prec': 100}, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-1.0801635096224773726311579703', 'prec': 103}, 'szpiro_ratio': 4.172484482619914, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 2, 0, 3, 0, 2, 0, 1, 0, 0, 0, 0, 0, 6, 0, 3, 0, 2, 0], 'aplist': [0, 2, 3, 2, 0, 0, 3, 2, -6, -3, 2, 7, -3, -8, 6, -3, 0, -10, -10, 12, -14, -2, 18, 9, -11], 'class_deg': 3, 'class_size': 2, 'conductor': 327184, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '327184.ej', 'trace_hash': 138144032232549374}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0068185366581643002419143967501', 'prec': 110}, 'conductor': 327184, 'gens': [[777855796466, 1733203454767529646, 40067]], 'heights': [{'__RealLiteral__': 0, 'data': '24.497295156667244717534545301', 'prec': 100}], 'lmfdb_label': '327184.ej2', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.12254229018356938486119844702', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '18.011727910805198030098250917832193476', 'prec': 130}, 'tamagawa_product': 6, 'torsion_generators': [], 'xcoord_integral_points': []}
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lmfdb_label 327184.ej2 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 13735057
{'degree': 2, 'field': [13, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [3]}
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id: 13735058
{'degree': 3, 'field': [2, 4, -1, 1], 'lmfdb_label': '327184.ej2', 'torsion': [2]}
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id: 13735059
{'degree': 6, 'field': [4, 0, 20, 0, -7, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [2, 2]}
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id: 13735060
{'degree': 6, 'field': [313, -2002, 1105, -154, -13, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [3]}
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id: 13735061
{'degree': 6, 'field': [1726, 1254, 179, -66, -25, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [6]}
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id: 13735062
{'degree': 12, 'field': [-147748, -134221, -156951, -72145, -41719, -7414, -946, 946, 58, 35, -23, -1, 1], 'lmfdb_label': '327184.ej2', 'torsion': [4]}
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id: 13735064
{'degree': 12, 'field': [16641, 0, 22993, 0, 1790, 0, 681, 0, 90, 0, 5, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [2, 6]}
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id: 13735063
{'degree': 12, 'field': [2483776, 0, 2970752, 0, 489648, 0, 47776, 0, 2556, 0, 80, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [3, 3]}
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id: 13735066
{'degree': 18, 'field': [-963722096, -633931872, 197931264, 145645632, -68169240, -13780008, 807500, 2650896, 46164, -346376, 57156, 8724, 4564, -1416, 762, -128, 48, -6, 1], 'lmfdb_label': '327184.ej2', 'torsion': [6]}
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id: 13735065
{'degree': 18, 'field': [30477096157, 5658108396, 16805500626, 2639264768, 4182997479, 509528358, 602563858, 49458792, 55107354, 2353162, 3403935, 36576, 149721, -870, 4749, -28, 99, 0, 1], 'lmfdb_label': '327184.ej2', 'torsion': [9]}
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ec_localdata • Show schema
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id: 8099150
{'conductor': 327184, 'conductor_valuation': 4, 'discriminant_valuation': 16, 'j_denominator_valuation': 4, 'kodaira_symbol': -12, 'lmfdb_label': '327184.ej2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 8099151
{'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -4, 'lmfdb_label': '327184.ej2', 'prime': 11, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 3}
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id: 8099152
{'conductor': 327184, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '327184.ej2', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 3712941
{'adelic_gens': [[157, 273, 39, 196], [209, 104, 0, 1], [1, 0, 12, 1], [301, 12, 300, 13], [4, 9, 3, 7], [1, 12, 0, 1], [77, 156, 39, 311], [207, 91, 65, 116], [5, 2, 274, 297], [167, 0, 0, 311]], 'adelic_image': '312.32.0.?', 'conductor': 327184, 'lmfdb_label': '327184.ej2', 'prime': 0}
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id: 1141038
{'conductor': 327184, 'elladic_image': '4.2.0.1', 'lmfdb_label': '327184.ej2', 'modell_image': '2G', 'prime': 2}
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id: 1141039
{'conductor': 327184, 'elladic_image': '3.4.0.1', 'lmfdb_label': '327184.ej2', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 327184.ej does not appear in ec_padic