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ec_curvedata • Show schema
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{'Ciso': '148720e', 'Clabel': '148720e2', 'Cnumber': 2, 'abc_quality': 0.8298641323760774, 'absD': 339807353600, 'adelic_genus': 0, 'adelic_index': 12, 'adelic_level': 220, 'ainvs': [0, 1, 0, -10196, -398696], 'analytic_rank': 1, 'bad_primes': [2, 5, 11, 13], 'class_deg': 2, 'class_size': 2, 'cm': 0, 'conductor': 148720, 'degree': 225792, 'elladic_images': ['2.3.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.0834011206859850648874345773', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 3, 'isogeny_degrees': [1, 2], 'jinv': [94875856, 275], 'lmfdb_iso': '148720.d', 'lmfdb_label': '148720.d1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [0, -1, 0, -60, 200], 'min_quad_twist_disc': -52, 'modell_images': ['2B'], 'modm_images': ['2.3.0.a.1', '20.6.0.c.1', '44.6.0.a.1', '220.12.0.?'], 'nonmax_primes': [2], 'nonmax_rad': 2, 'num_bad_primes': 4, 'num_int_pts': 1, 'optimality': 0, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '6.9436042435679280023720923987', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 1859], [5, 6, 29744], [11, 12, 13520], [13, 86, 880]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '-0.66117167841808017608413055779', 'prec': 107}, 'szpiro_ratio': 3.3000457900583693, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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ec_classdata • Show schema
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{'anlist': [0, 1, 0, -2, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, -4, 0, -4, 0], 'aplist': [0, -2, -1, 0, 1, 0, -4, -4, -6, 2, 0, 6, 10, -4, 10, 2, -4, -14, 2, 4, 4, 8, 12, -6, -6], 'class_deg': 2, 'class_size': 2, 'conductor': 148720, 'isogeny_matrix': [[1, 2], [2, 1]], 'lmfdb_iso': '148720.d', 'trace_hash': 2083066212755969514}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.11454331376395038523894056596', 'prec': 103}, 'conductor': 148720, 'gens': [[-2075, 6193, 6]], 'heights': [{'__RealLiteral__': 0, 'data': '6.9436042435679280023720923987', 'prec': 100}], 'lmfdb_label': '148720.d1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.47518663387643607645604889202', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.2995079274711808739298566798098075147', 'prec': 130}, 'tamagawa_product': 4, 'torsion_generators': [[-61, 0, 1]], 'xcoord_integral_points': [-61]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': 'a', '3': [3, 0], '5': [1, 0], '7': [1, 1, 0], '11': [2, 0], '13': 'a', '17': [1, 0], '19': [3, 0], '23': [1, 0], '29': [1, 0], '31': [1, 1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '148720.d1'}
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ec_torsion_growth • Show schema
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id: 6692750
{'degree': 2, 'field': [-11, 0, 1], 'lmfdb_label': '148720.d1', 'torsion': [2, 2]}
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id: 6692751
{'degree': 4, 'field': [1859, 0, 91, 0, 1], 'lmfdb_label': '148720.d1', 'torsion': [4]}
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id: 6692754
{'degree': 8, 'field': [-356022, -36018, -1629, 16932, -273, -240, 1, -2, 1], 'lmfdb_label': '148720.d1', 'torsion': [6]}
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id: 6692752
{'degree': 8, 'field': [36001, -62540, -9954, -9912, -1472, -240, -106, -4, 1], 'lmfdb_label': '148720.d1', 'torsion': [2, 4]}
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id: 6692753
{'degree': 8, 'field': [152101, -85514, 53966, -14014, 2779, -286, 88, 0, 1], 'lmfdb_label': '148720.d1', 'torsion': [2, 4]}
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id: 6692756
{'degree': 16, 'field': [9686813510, 13397445248, 8483979130, 2982567742, 779234978, 31786938, -28417367, -14623994, -1414666, 112596, 58025, 13970, -1287, -88, -22, -4, 1], 'lmfdb_label': '148720.d1', 'torsion': [2, 6]}
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id: 6692755
{'degree': 16, 'field': [12596946436, -23139398224, 18790768392, -8852830744, 2699118568, -547678944, 80779696, -7658432, 554618, -20784, 89144, -17660, 2808, 292, 38, -4, 1], 'lmfdb_label': '148720.d1', 'torsion': [8]}
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ec_localdata • Show schema
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id: 3677271
{'conductor': 148720, 'conductor_valuation': 4, 'discriminant_valuation': 8, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '148720.d1', 'prime': 2, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 1}
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id: 3677272
{'conductor': 148720, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '148720.d1', 'prime': 5, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 3677273
{'conductor': 148720, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '148720.d1', 'prime': 11, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 1}
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id: 3677274
{'conductor': 148720, 'conductor_valuation': 2, 'discriminant_valuation': 6, 'j_denominator_valuation': 0, 'kodaira_symbol': -1, 'lmfdb_label': '148720.d1', 'prime': 13, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 2}
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ec_galrep • Show schema
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id: 2628996
{'adelic_gens': [[1, 2, 2, 5], [202, 1, 119, 0], [217, 4, 216, 5], [56, 169, 165, 56], [3, 4, 8, 11], [177, 4, 134, 9], [1, 4, 0, 1], [1, 0, 4, 1]], 'adelic_image': '220.12.0.?', 'conductor': 148720, 'lmfdb_label': '148720.d1', 'prime': 0}
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id: 571362
{'conductor': 148720, 'elladic_image': '2.3.0.1', 'lmfdb_label': '148720.d1', 'modell_image': '2B', 'prime': 2}
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lmfdb_iso 148720.d does not appear in ec_padic
