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ec_curvedata • Show schema
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{'Ciso': '312e', 'Clabel': '312e1', 'Cnumber': 1, 'abc_quality': 1.037904102991589, 'absD': 2075690448, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 156, 'ainvs': [0, -1, 0, -651, 6228], 'analytic_rank': 0, 'bad_primes': [2, 3, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 312, 'degree': 240, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.53638555224771802892217227068', 'prec': 103}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 2, 'isogeny_degrees': [1, 2], 'jinv': [1909913257984, 129730653], 'lmfdb_iso': '312.c', 'lmfdb_label': '312.c1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -651, 6228], 'min_quad_twist_disc': 1, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '12.6.0.c.1', '26.6.0.b.1', '156.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 3, 'num_int_pts': 1, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.30533649206106959244976156353', 'prec': 103}, 'szpiro_ratio': 5.406695181788849, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 4, 0, 0, 0, 1, 0, -2, 0, -1, 0, -4, 0, 2, 0, 8, 0], 'aplist': [0, -1, 4, 0, -2, -1, 2, 8, 4, -6, -4, 6, -12, 4, -6, -2, -14, 10, -4, 2, -2, -8, 14, 0, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 312, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '312.c', 'trace_hash': 976675375132567750}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.34205932074311051823215218535', 'prec': 103}, 'conductor': 312, 'gens': [], 'heights': [], 'lmfdb_label': '312.c1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '1.4416548404992633698653120529', 'prec': 100}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.4416548404992633698653120528888940312', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[12, 0, 1]], 'xcoord_integral_points': [12]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '13': [0, 0]}, 'iwp0': 3, 'lmfdb_label': '312.c1'}
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ec_torsion_growth • Show schema
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id: 13134
{'degree': 2, 'field': [-3, -1, 1], 'lmfdb_label': '312.c1', 'torsion': [2, 2]}
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id: 13135
{'degree': 4, 'field': [1, 1, -1, -1, 1], 'lmfdb_label': '312.c1', 'torsion': [4]}
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id: 13138
{'degree': 8, 'field': [-3, 0, 4, 0, -6, 0, 0, 0, 1], 'lmfdb_label': '312.c1', 'torsion': [6]}
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id: 13136
{'degree': 8, 'field': [1, -1, 2, 3, -1, 3, 2, -1, 1], 'lmfdb_label': '312.c1', 'torsion': [2, 4]}
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id: 13137
{'degree': 8, 'field': [9, 0, -46, 0, -109, 0, -2, 0, 1], 'lmfdb_label': '312.c1', 'torsion': [2, 4]}
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id: 13140
{'degree': 16, 'field': [-607, 12438, 15512, -19058, 2912, 11398, -14436, -2576, 8883, -8, -2610, 76, 412, -8, -32, 0, 1], 'lmfdb_label': '312.c1', 'torsion': [2, 6]}
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id: 13139
{'degree': 16, 'field': [1, -6, 18, -24, 25, -54, 54, 18, 24, 24, -30, 54, 13, -12, 6, 0, 1], 'lmfdb_label': '312.c1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 2906
{'conductor': 312, 'conductor_valuation': 3, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '312.c1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 2907
{'conductor': 312, 'conductor_valuation': 1, 'discriminant_valuation': 10, 'j_denominator_valuation': 10, 'kodaira_symbol': 14, 'lmfdb_label': '312.c1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 2908
{'conductor': 312, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '312.c1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1667060
{'adelic_gens': [[1, 2, 2, 5], [53, 4, 106, 9], [134, 1, 11, 0], [3, 4, 8, 11], [153, 4, 152, 5], [1, 4, 0, 1], [41, 118, 116, 39], [1, 0, 4, 1]], 'adelic_image': '156.12.0.?', 'conductor': 312, 'lmfdb_label': '312.c1', 'prime': 0}
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id: 1265
{'conductor': 312, 'elladic_image': '2.3.0.1', 'lmfdb_label': '312.c1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 312.c does not appear in ec_padic