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ec_curvedata • Show schema
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{'Ciso': '61050c', 'Clabel': '61050c1', 'Cnumber': 1, 'abc_quality': 0.8936186261560999, 'absD': 906592500000000, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 148, 'ainvs': [1, 1, 0, 22800, -576000], 'analytic_rank': 1, 'bad_primes': [2, 3, 5, 11, 37], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 61050, 'degree': 291840, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5586336937686774381524907379', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 11, 'isogeny_degrees': [1], 'jinv': [134214193775, 92835072], 'lmfdb_iso': '61050.l', 'lmfdb_label': '61050.l1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 0, 912, -4608], 'min_quad_twist_disc': 5, 'modell_images': [], 'modm_images': ['148.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 5, 'num_int_pts': 2, 'optimality': 1, 'potential_good_reduction': False, 'rank': 1, 'regulator': {'__RealLiteral__': 0, 'data': '1.6475966333607987813457429324', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 4, 925], [3, 4, 20350], [5, 2, 2442], [11, 12, 5550], [37, 38, 1650]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.21743543340692712598519129355', 'prec': 103}, 'szpiro_ratio': 3.78576859118929, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
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ec_classdata • Show schema
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{'anlist': [0, 1, -1, -1, 1, 0, 1, 2, -1, 1, 0, -1, -1, 0, -2, 0, 1, 0, -1, -1, 0], 'aplist': [-1, -1, 0, 2, -1, 0, 0, -1, -9, 8, -4, -1, -11, 9, 6, -3, -5, 0, 8, -2, -5, 11, -12, -4, 8], 'class_deg': 1, 'class_size': 1, 'conductor': 61050, 'isogeny_matrix': [[1]], 'lmfdb_iso': '61050.l', 'trace_hash': 185813467241206185}
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ec_mwbsd • Show schema
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{'area': {'__RealLiteral__': 0, 'data': '0.044277997863265487444950115472', 'prec': 107}, 'conductor': 61050, 'gens': [[96, 1536, 1]], 'heights': [{'__RealLiteral__': 0, 'data': '1.6475966333607987813457429324', 'prec': 100}], 'lmfdb_label': '61050.l1', 'ngens': 1, 'rank_bounds': [1, 1], 'real_period': {'__RealLiteral__': 0, 'data': '0.28154801769848364640928617826', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '3.7110205287154259736434000772631763989', 'prec': 130}, 'tamagawa_product': 8, 'torsion_generators': [], 'xcoord_integral_points': [96]}
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ec_iwasawa • Show schema
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{'iwdata': {'2': [3, 0], '3': [1, 0], '5': 'a', '7': [1, 0], '11': [1, 0], '13': [1, 1, 0], '17': [1, 1, 0], '19': [1, 0], '23': [1, 0], '29': [1, 0], '31': [1, 0], '37': [1, 0], '41': [1, 0], '43': [1, 0], '47': [1, 0]}, 'iwp0': 0, 'lmfdb_label': '61050.l1'}
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ec_torsion_growth • Show schema
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id: 2926196
{'degree': 3, 'field': [-20, 10, 0, 1], 'lmfdb_label': '61050.l1', 'torsion': [2]}
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id: 2926197
{'degree': 6, 'field': [37, 0, 7, 0, 19, 0, 1], 'lmfdb_label': '61050.l1', 'torsion': [2, 2]}
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id: 2926198
{'degree': 8, 'field': [-4225144, 515869, -508858, -14023, 7015, -7, 7, -4, 1], 'lmfdb_label': '61050.l1', 'torsion': [3]}
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id: 2926199
{'degree': 12, 'field': [-1024, 15274, -259331, -92660, 24935, 21414, 4821, -1224, -395, -130, -1, -4, 1], 'lmfdb_label': '61050.l1', 'torsion': [4]}
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ec_localdata • Show schema
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id: 1470364
{'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 8, 'j_denominator_valuation': 8, 'kodaira_symbol': 12, 'lmfdb_label': '61050.l1', 'prime': 2, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1470365
{'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 4, 'j_denominator_valuation': 4, 'kodaira_symbol': 8, 'lmfdb_label': '61050.l1', 'prime': 3, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1470366
{'conductor': 61050, 'conductor_valuation': 2, 'discriminant_valuation': 10, 'j_denominator_valuation': 0, 'kodaira_symbol': -2, 'lmfdb_label': '61050.l1', 'prime': 5, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 1}
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id: 1470367
{'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '61050.l1', 'prime': 11, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 2}
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id: 1470368
{'conductor': 61050, 'conductor_valuation': 1, 'discriminant_valuation': 1, 'j_denominator_valuation': 1, 'kodaira_symbol': 5, 'lmfdb_label': '61050.l1', 'prime': 37, 'reduction_type': -1, 'root_number': 1, 'tamagawa_number': 1}
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ec_galrep • Show schema
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{'adelic_gens': [[1, 2, 0, 1], [113, 2, 113, 3], [1, 0, 2, 1], [75, 2, 75, 3], [147, 2, 146, 3], [1, 1, 147, 0]], 'adelic_image': '148.2.0.?', 'conductor': 61050, 'lmfdb_label': '61050.l1', 'prime': 0}
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ec_padic • Show schema
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id: 3100288
{'lmfdb_iso': '61050.l', 'p': 7, 'prec': 20, 'unit': 60046719157982, 'val': 1}
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id: 3100285
{'lmfdb_iso': '61050.l', 'p': 19, 'prec': 20, 'unit': 1220514134954996552804699, 'val': 1}
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id: 3100296
{'lmfdb_iso': '61050.l', 'p': 23, 'prec': 20, 'unit': 70379446727129412833418228, 'val': 1}
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id: 3100300
{'lmfdb_iso': '61050.l', 'p': 29, 'prec': 20, 'unit': 1826209517436464243016176551, 'val': 1}
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id: 3100301
{'lmfdb_iso': '61050.l', 'p': 31, 'prec': 20, 'unit': 17097156700756022277066915880, 'val': 1}
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id: 3100289
{'lmfdb_iso': '61050.l', 'p': 41, 'prec': 20, 'unit': 2564375196621454598718308648143, 'val': 1}
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id: 3100290
{'lmfdb_iso': '61050.l', 'p': 43, 'prec': 20, 'unit': 4892180257100276210185192362225, 'val': 1}
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id: 3100299
{'lmfdb_iso': '61050.l', 'p': 47, 'prec': 20, 'unit': 21079817252388447797025162218835, 'val': 1}
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id: 3100294
{'lmfdb_iso': '61050.l', 'p': 53, 'prec': 20, 'unit': 283025619981169359964986388548298, 'val': 1}
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id: 3100292
{'lmfdb_iso': '61050.l', 'p': 59, 'prec': 20, 'unit': 4234648405099831398573454655323693, 'val': 1}
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id: 3100287
{'lmfdb_iso': '61050.l', 'p': 67, 'prec': 20, 'unit': 13602310904139551524223708723205731, 'val': 1}
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id: 3100298
{'lmfdb_iso': '61050.l', 'p': 71, 'prec': 20, 'unit': 66893183615843642599155806592538104, 'val': 1}
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id: 3100295
{'lmfdb_iso': '61050.l', 'p': 73, 'prec': 20, 'unit': 244337825818697102349858259819126446, 'val': 1}
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id: 3100291
{'lmfdb_iso': '61050.l', 'p': 79, 'prec': 20, 'unit': 175764390308878537325209079429729457, 'val': 1}
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id: 3100293
{'lmfdb_iso': '61050.l', 'p': 83, 'prec': 20, 'unit': 2633243341566134284506874052393046780, 'val': 1}
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id: 3100297
{'lmfdb_iso': '61050.l', 'p': 89, 'prec': 20, 'unit': 10634087875113703634427391161455852382, 'val': 1}
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id: 3100286
{'lmfdb_iso': '61050.l', 'p': 97, 'prec': 20, 'unit': 732981885671031237430492334391250115, 'val': 1}