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ec_curvedata • Show schema
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{'Ciso': '36800cd', 'Clabel': '36800cd2', 'Cnumber': 2, 'abc_quality': 0.87184842279915, 'absD': 194672000000, 'adelic_genus': 0, 'adelic_index': 16, 'adelic_level': 2760, 'ainvs': [0, -1, 0, -1833, 37537], 'analytic_rank': 0, 'bad_primes': [2, 5, 23], 'class_deg': 3, 'class_size': 2, 'cm': 0, 'conductor': 36800, 'degree': 27648, 'elladic_images': ['3.4.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '0.88132937011544598117107491113', 'prec': 103}, 'faltings_index': 1, 'faltings_ratio': 3, 'iso_nlabel': 30, 'isogeny_degrees': [1, 3], 'jinv': [-42592000, 12167], 'lmfdb_iso': '36800.be', 'lmfdb_label': '36800.be1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, 1, 0, -18, -43], 'min_quad_twist_disc': -40, 'modell_images': ['3B'], 'modm_images': ['3.4.0.a.1', '46.2.0.a.1', '120.8.0.?', '138.8.0.?', '2760.16.0.?'], 'nonmax_primes': [3], 'nonmax_rad': 3, 'num_bad_primes': 3, 'num_int_pts': 0, 'optimality': 0, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 2, 575], [3, 2, 1600], [5, 14, 1472], [23, 24, 1600]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.50101223656822529731033152336', 'prec': 107}, 'szpiro_ratio': 3.286944915659322, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -1, 0, 0, 0, 2, 0, -2, 0, 0, 0, -1, 0, 0, 0, 6, 0, 2, 0], 'aplist': [0, -1, 0, 2, 0, -1, 6, 2, -1, 3, -5, 8, 3, -8, 9, 6, -12, -14, -8, 15, 7, 10, -6, 0, 10], 'class_deg': 3, 'class_size': 2, 'conductor': 36800, 'isogeny_matrix': [[1, 3], [3, 1]], 'lmfdb_iso': '36800.be', 'trace_hash': 1235556248807246060}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.17158804876746731548125923962', 'prec': 103}, 'conductor': 36800, 'gens': [], 'heights': [], 'lmfdb_label': '36800.be1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.95462747554574465490808691984', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '1.9092549510914893098161738396859723059', 'prec': 130}, 'tamagawa_product': 2, 'torsion_generators': [], 'xcoord_integral_points': []}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [0, 0], '5': 'a', '7': [0, 0], '11': [0, 0, 0], '13': [0, 0], '17': [0, 0], '19': [0, 0], '23': [0, 0], '29': [0, 0], '31': [0, 0], '37': [0, 0], '41': [0, 0], '43': [0, 0], '47': [0, 0]}, 'iwp0': 0, 'lmfdb_label': '36800.be1'}
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ec_torsion_growth • Show schema
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id: 1820806
{'degree': 2, 'field': [-30, 0, 1], 'lmfdb_label': '36800.be1', 'torsion': [3]}
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id: 1820807
{'degree': 3, 'field': [1, 0, -1, 1], 'lmfdb_label': '36800.be1', 'torsion': [2]}
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id: 1820810
{'degree': 6, 'field': [-26159, -1620, 2638, 122, -89, -2, 1], 'lmfdb_label': '36800.be1', 'torsion': [6]}
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id: 1820808
{'degree': 6, 'field': [1, -3, 5, -5, 5, -3, 1], 'lmfdb_label': '36800.be1', 'torsion': [2, 2]}
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id: 1820809
{'degree': 6, 'field': [250, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '36800.be1', 'torsion': [3]}
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id: 1820811
{'degree': 12, 'field': [-359375, 0, 50000, 0, 3750, 0, 1250, 0, -275, 0, 0, 0, 1], 'lmfdb_label': '36800.be1', 'torsion': [4]}
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id: 1820812
{'degree': 12, 'field': [63001, -1506, -3729, 9950, -3660, -1626, 641, -126, 90, -50, 21, -6, 1], 'lmfdb_label': '36800.be1', 'torsion': [3, 3]}
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id: 1820813
{'degree': 12, 'field': [757597531, 145538994, -133681181, -23193640, 10304915, 1513894, -444505, -50486, 11315, 860, -161, -6, 1], 'lmfdb_label': '36800.be1', 'torsion': [2, 6]}
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id: 1820814
{'degree': 18, 'field': [-2263651329861, -645168841830, 1398306869883, 265622292774, -353102887575, -36007960914, 45562556380, 1850146542, -3188103570, -35339776, 129047931, 12420, -3100731, 6210, 43335, -46, -324, 0, 1], 'lmfdb_label': '36800.be1', 'torsion': [9]}
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id: 1820815
{'degree': 18, 'field': [15625000, 0, 0, 0, 0, 0, 312500, 0, 0, 0, 0, 0, -500, 0, 0, 0, 0, 0, 1], 'lmfdb_label': '36800.be1', 'torsion': [6]}
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ec_localdata • Show schema
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id: 867403
{'conductor': 36800, 'conductor_valuation': 6, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '36800.be1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 867404
{'conductor': 36800, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '36800.be1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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id: 867405
{'conductor': 36800, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '36800.be1', 'prime': 23, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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id: 1909863
{'adelic_gens': [[26, 2325, 1735, 1111], [4, 3, 9, 7], [2755, 6, 2754, 7], [2341, 1110, 2340, 1111], [691, 0, 0, 1], [1379, 0, 0, 2759], [1, 6, 0, 1], [1201, 1110, 15, 571], [3, 4, 8, 11], [1103, 0, 0, 2759], [1, 0, 6, 1]], 'adelic_image': '2760.16.0.?', 'conductor': 36800, 'lmfdb_label': '36800.be1', 'prime': 0}
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id: 162742
{'conductor': 36800, 'elladic_image': '3.4.0.1', 'lmfdb_label': '36800.be1', 'modell_image': '3B', 'prime': 3}
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lmfdb_iso 36800.be does not appear in ec_padic
