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ec_curvedata • Show schema
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{'Ciso': '135240bu', 'Clabel': '135240bu1', 'Cnumber': 1, 'abc_quality': 0.8585397626107107, 'absD': 1924576507929600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 6440, 'ainvs': [0, -1, 0, -217576, 39078460], 'analytic_rank': 0, 'bad_primes': [2, 3, 5, 7, 23], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 135240, 'degree': 974848, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.8278389325719644424609225611', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 8, 'isogeny_degrees': [1, 2], 'jinv': [27566165308, 46575], 'lmfdb_iso': '135240.i', 'lmfdb_label': '135240.i2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -4440, -115200], 'min_quad_twist_disc': -7, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '280.6.0.?', '322.6.0.?', '920.6.0.?', '6440.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 5, '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': '-0.20921632968614162754911876436', 'prec': 107}, 'szpiro_ratio': 4.103708267083165, '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, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0], 'aplist': [0, -1, -1, 0, 0, 0, 2, 0, 1, 6, -8, 10, 0, -2, 6, 14, -14, -6, -10, 12, -14, 14, 12, 10, -18], 'class_deg': 2, 'class_size': 2, 'conductor': 135240, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '135240.i', 'trace_hash': 2225176799261108144}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.025843972815803617434735968379', 'prec': 107}, 'conductor': 135240, 'gens': [], 'heights': [], 'lmfdb_label': '135240.i2', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.46760436024906805484349892514', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.8704174409962722193739957005536102664', 'prec': 130}, 'tamagawa_product': 16, 'torsion_generators': [[278, 0, 1]], 'xcoord_integral_points': [278]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': [0, 0], '7': 'a', '23': [1, 0]}, 'iwp0': 3, 'lmfdb_label': '135240.i2'}
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ec_torsion_growth • Show schema
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id: 6126002
{'degree': 2, 'field': [-40, -1, 1], 'lmfdb_label': '135240.i2', 'torsion': [2, 2]}
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id: 6126003
{'degree': 4, 'field': [-21, -140, -56, 0, 1], 'lmfdb_label': '135240.i2', 'torsion': [4]}
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id: 6126006
{'degree': 8, 'field': [-5195568, 0, 1623664, 0, 7896, 0, 0, 0, 1], 'lmfdb_label': '135240.i2', 'torsion': [6]}
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id: 6126005
{'degree': 8, 'field': [1600, 0, 6520, 0, 404, 0, -2, 0, 1], 'lmfdb_label': '135240.i2', 'torsion': [2, 4]}
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id: 6126004
{'degree': 8, 'field': [32400, 0, -26190, 0, 2749, 0, -96, 0, 1], 'lmfdb_label': '135240.i2', 'torsion': [2, 4]}
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id: 6126007
{'degree': 16, 'field': [2692987236, 0, -13539352176, 0, 1680618600, 0, 677311936, 0, 22156984, 0, -2262344, 0, 21580, 0, -56, 0, 1], 'lmfdb_label': '135240.i2', 'torsion': [8]}
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id: 6126008
{'degree': 16, 'field': [55319040000, 0, 1701613670400, 0, -127765030400, 0, 2884492800, 0, -1056048, 0, -148176, 0, -7224, 0, 0, 0, 1], 'lmfdb_label': '135240.i2', 'torsion': [2, 6]}
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ec_localdata • Show schema
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id: 3336340
{'conductor': 135240, 'conductor_valuation': 3, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '135240.i2', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3336341
{'conductor': 135240, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '135240.i2', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3336342
{'conductor': 135240, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '135240.i2', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3336343
{'conductor': 135240, 'conductor_valuation': 2, 'discriminant_valuation': 9, 'j_denominator_valuation': 0, 'kodaira_symbol': -3, 'lmfdb_label': '135240.i2', 'prime': 7, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
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id: 3336344
{'conductor': 135240, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '135240.i2', 'prime': 23, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 2543757
{'adelic_gens': [[562, 1, 6159, 0], [4604, 1, 3679, 0], [1, 2, 2, 5], [809, 5636, 4024, 2415], [3221, 4, 2, 9], [1, 4, 0, 1], [1, 0, 4, 1], [2577, 4, 5154, 9], [3, 4, 8, 11], [6437, 4, 6436, 5]], 'adelic_image': '6440.12.0.?', 'conductor': 135240, 'lmfdb_label': '135240.i2', 'prime': 0}
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id: 524229
{'conductor': 135240, 'elladic_image': '2.3.0.1', 'lmfdb_label': '135240.i2', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 135240.i does not appear in ec_padic