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ec_curvedata • Show schema
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{'Ciso': '247962v', 'Clabel': '247962v2', 'Cnumber': 2, 'abc_quality': 1.0688232684606453, 'absD': 1476382219960931712, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 3432, 'ainvs': [1, 1, 1, -2130514, -1196405665], 'analytic_rank': 0, 'bad_primes': [2, 3, 11, 13, 17], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 247962, 'degree': 8386560, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.3906962161753942935359839192', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 21, 'isogeny_degrees': [1, 2], 'jinv': [44308125149913793, 61165323648], 'lmfdb_iso': '247962.v', 'lmfdb_label': '247962.v1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, -7372, -243952], 'min_quad_twist_disc': 17, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '88.6.0.?', '156.6.0.?', '3432.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.97408954414728625341121661026', 'prec': 103}, 'szpiro_ratio': 4.454479300274891, '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, -2, -1, -4, 1, 1, -2, -1, -1, -1, -4, 2, 1, 0, 1, -6, -2], 'aplist': [1, -1, -2, -4, -1, -1, 0, -6, 6, 2, 2, -4, -2, 4, 4, -8, 12, 2, 12, 16, 0, 8, 4, 10, -10], 'class_deg': 2, 'class_size': 2, 'conductor': 247962, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '247962.v', 'trace_hash': 173176780600210099}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.0083843162425016654770225012951', 'prec': 110}, 'conductor': 247962, 'gens': [], 'heights': [], 'lmfdb_label': '247962.v1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.12497250020049374825757742818', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.7496150028069124756060839944607299513', 'prec': 130}, 'tamagawa_product': 56, 'torsion_generators': [[-3277, 3273, 2]], 'xcoord_integral_points': []}
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lmfdb_label 247962.v1 does not appear in ec_iwasawa
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ec_torsion_growth • Show schema
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id: 10676882
{'degree': 2, 'field': [-22, 0, 1], 'lmfdb_label': '247962.v1', 'torsion': [2, 2]}
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id: 10676883
{'degree': 4, 'field': [25432, 0, 17, 0, 1], 'lmfdb_label': '247962.v1', 'torsion': [4]}
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id: 10676886
{'degree': 8, 'field': [-48016, -52300, -19603, -4732, 377, 122, 1, -2, 1], 'lmfdb_label': '247962.v1', 'torsion': [6]}
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id: 10676885
{'degree': 8, 'field': [278784, 0, -1146112, 0, 7304, 0, -176, 0, 1], 'lmfdb_label': '247962.v1', 'torsion': [2, 4]}
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id: 10676884
{'degree': 8, 'field': [27762361, 0, 356774, 0, 112506, 0, 566, 0, 1], 'lmfdb_label': '247962.v1', 'torsion': [2, 4]}
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id: 10676888
{'degree': 16, 'field': [-336706643712, 332203584384, -49024373360, -23335659496, 6901720603, 767641412, -392967206, -41202832, -1593985, 10708, 363464, 8500, -6355, 64, -38, -4, 1], 'lmfdb_label': '247962.v1', 'torsion': [2, 6]}
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id: 10676887
{'degree': 16, 'field': [27080247526875400, 3158112912585488, 1292086873715664, 113905250144296, 24177186613814, 1993301955528, 313450353112, 18872441900, 3605670279, 104113832, 32715460, 186792, 200414, -1112, 696, -4, 1], 'lmfdb_label': '247962.v1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 6146081
{'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 7, 'j_denominator_valuation': 7, 'kodaira_symbol': 11, 'lmfdb_label': '247962.v1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 7}
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id: 6146082
{'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '247962.v1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6146083
{'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '247962.v1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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id: 6146084
{'conductor': 247962, 'conductor_valuation': 1, 'discriminant_valuation': 6, 'j_denominator_valuation': 6, 'kodaira_symbol': 10, 'lmfdb_label': '247962.v1', 'prime': 13, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 6146085
{'conductor': 247962, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '247962.v1', 'prime': 17, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 3238240
{'adelic_gens': [[1, 2, 2, 5], [2, 1, 1715, 0], [1874, 1, 2495, 0], [1, 4, 0, 1], [2641, 4, 1850, 9], [1145, 4, 2290, 9], [1, 0, 4, 1], [3429, 4, 3428, 5], [3, 4, 8, 11], [3004, 433, 2145, 1288]], 'adelic_image': '3432.12.0.?', 'conductor': 247962, 'lmfdb_label': '247962.v1', 'prime': 0}
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id: 895477
{'conductor': 247962, 'elladic_image': '2.3.0.1', 'lmfdb_label': '247962.v1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 247962.v does not appear in ec_padic