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ec_classdata • Show schema
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{'anlist': [0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, -6, 0, -4, 0, 0, 0, 0, 0, 1, 0], 'aplist': [0, 1, 0, 0, -6, -4, 0, 1, 6, -6, 4, -2, 6, -8, -12, -6, -12, -10, -14, -12, -2, -10, 12, -18, -8], 'class_deg': 18, 'class_size': 6, 'conductor': 178752, 'isogeny_matrix': [[1, 2, 3, 6, 9, 18], [2, 1, 6, 3, 18, 9], [3, 6, 1, 2, 3, 6], [6, 3, 2, 1, 6, 3], [9, 18, 3, 6, 1, 2], [18, 9, 6, 3, 2, 1]], 'lmfdb_iso': '178752.hn', 'trace_hash': 343408202781376957}
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lmfdb_iso 178752.hn does not appear in ec_padic
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ec_curvedata • Show schema
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id: 1152154
{'Ciso': '178752gm', 'Clabel': '178752gm6', 'Cnumber': 6, 'abc_quality': 1.0583334848509944, 'absD': 183872099652156260352, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [0, 1, 0, -30691124193, 2069498717566335], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 178752, 'degree': 191102976, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '4.2749090813675066227866178974', 'prec': 100}, 'faltings_index': 5, 'faltings_ratio': 18, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [103665426767620308239307625, 5961940992], 'lmfdb_iso': '178752.hn', 'lmfdb_label': '178752.hn1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -9786711, -11785100294], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.4', '28.6.0.a.1', '72.72.0.?', '84.24.0.?', '168.48.0.?', '228.24.0.?', '252.72.1.?', '456.48.0.?', '504.144.1.?', '684.72.1.?', '1197.36.0.?', '1368.144.1.?', '1596.48.1.?', '2394.108.2.?', '3192.96.1.?', '4788.432.21.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '13.934183302410539309854633510', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '2.2622332359999320061080933435', 'prec': 100}, 'szpiro_ratio': 6.9503081116415855, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1152153
{'Ciso': '178752gm', 'Clabel': '178752gm5', 'Cnumber': 5, 'abc_quality': 1.0385639997055625, 'absD': 5919417084886034298175488, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [0, 1, 0, -1918198753, 32335314318719], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 178752, 'degree': 95551488, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.9283354910875339680780018367', 'prec': 100}, 'faltings_index': 4, 'faltings_ratio': 9, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [25309080274342544331625, 191933498523648], 'lmfdb_iso': '178752.hn', 'lmfdb_label': '178752.hn2', 'lmfdb_number': 2, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -611671, -184179718], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.15', '28.6.0.b.1', '72.72.0.?', '84.24.0.?', '114.24.0.?', '168.48.0.?', '252.72.1.?', '342.72.1.?', '456.48.0.?', '504.144.1.?', '1197.36.0.?', '1368.144.1.?', '1596.48.1.?', '2394.216.7.?', '3192.96.1.?', '4788.432.21.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 3, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '55.736733209642157239418534040', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2793], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.9156596457199593513994772828', 'prec': 100}, 'szpiro_ratio': 6.262534880935944, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1152152
{'Ciso': '178752gm', 'Clabel': '178752gm4', 'Cnumber': 4, 'abc_quality': 1.0242979660857512, 'absD': 23219421221243358321573888, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [0, 1, 0, -379253793, 2833182710847], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 178752, 'degree': 63700992, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.7256029370334517770889952790', 'prec': 100}, 'faltings_index': 3, 'faltings_ratio': 6, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [195607431345044517625, 752875610010048], 'lmfdb_iso': '178752.hn', 'lmfdb_label': '178752.hn3', 'lmfdb_number': 3, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -120936, -16143626], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '24.72.0-6.a.1.6', '28.6.0.a.1', '84.72.1.?', '168.144.1.?', '228.72.1.?', '456.144.1.?', '1197.36.0.?', '1596.144.5.?', '2394.108.2.?', '3192.288.5.?', '4788.432.21.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 21, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5482425891567265899838481678', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 3136], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.7129270916658771604104707251', 'prec': 100}, 'szpiro_ratio': 5.860442321096551, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1152151
{'Ciso': '178752gm', 'Clabel': '178752gm3', 'Cnumber': 3, 'abc_quality': 1.1447961981888821, 'absD': 2752332618666656957202432, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [0, 1, 0, -35046433, -2466362305], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 178752, 'degree': 31850496, 'elladic_images': ['2.3.0.1', '3.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.3790293467534791223803792182', 'prec': 100}, 'faltings_index': 2, 'faltings_ratio': 3, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6], 'jinv': [154357248921765625, 89242711068672], 'lmfdb_iso': '178752.hn', 'lmfdb_label': '178752.hn4', 'lmfdb_number': 4, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -11176, 13046], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3Cs'], 'modm_images': ['2.3.0.a.1', '3.12.0.a.1', '6.36.0.a.1', '24.72.0-6.a.1.4', '28.6.0.b.1', '84.72.1.?', '114.72.1.?', '168.144.1.?', '456.144.1.?', '1197.36.0.?', '1596.144.5.?', '2394.216.7.?', '3192.288.5.?', '4788.432.21.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 9, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.1929703566269063599353926712', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2793], [3, 4, 3136], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.3663535013859045057018546643', 'prec': 100}, 'szpiro_ratio': 5.269674976994342, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1152150
{'Ciso': '178752gm', 'Clabel': '178752gm2', 'Cnumber': 2, 'abc_quality': 0.9950582420479482, 'absD': 120774703573769647030272, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [0, 1, 0, -24901473, -44818823169], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 178752, 'degree': 21233664, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '3.1762967926993969313913726605', 'prec': 100}, 'faltings_index': 1, 'faltings_ratio': 2, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [55369510069623625, 3916046302812], 'lmfdb_iso': '178752.hn', 'lmfdb_label': '178752.hn5', 'lmfdb_number': 5, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7941, 254500], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.12', '28.6.0.a.1', '72.72.0.?', '84.24.0.?', '168.48.0.?', '228.24.0.?', '252.72.1.?', '456.48.0.?', '504.144.1.?', '684.72.1.?', '1197.36.0.?', '1368.144.1.?', '1596.48.1.?', '2394.108.2.?', '3192.96.1.?', '4788.432.21.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 23, 'optimality': 0, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '1.5482425891567265899838481678', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 49], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '1.1636209473318223147128481066', 'prec': 100}, 'szpiro_ratio': 5.184900590440001, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
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id: 1152149
{'Ciso': '178752gm', 'Clabel': '178752gm1', 'Cnumber': 1, 'abc_quality': 1.0361697824095453, 'absD': 9042512507628945408, 'adelic_genus': 21, 'adelic_index': 864, 'adelic_level': 9576, 'ainvs': [0, 1, 0, -24462433, -46577002753], 'analytic_rank': 2, 'bad_primes': [2, 3, 7, 19], 'class_deg': 18, 'class_size': 6, 'cm': 0, 'conductor': 178752, 'degree': 10616832, 'elladic_images': ['2.3.0.1', '9.12.0.1'], 'faltings_height': {'__RealLiteral__': 0, 'data': '2.8297232024194242766827565998', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 195, 'isogeny_degrees': [1, 2, 3, 6, 9, 18], 'jinv': [52492168638015625, 293197968], 'lmfdb_iso': '178752.hn', 'lmfdb_label': '178752.hn6', 'lmfdb_number': 6, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, 0, 1, -7801, 264524], 'min_quad_twist_disc': -56, 'modell_images': ['2B', '3B'], 'modm_images': ['2.3.0.a.1', '3.4.0.a.1', '6.12.0.a.1', '9.12.0.a.1', '18.36.0.a.1', '24.24.0-6.a.1.7', '28.6.0.b.1', '72.72.0.?', '84.24.0.?', '114.24.0.?', '168.48.0.?', '252.72.1.?', '342.72.1.?', '456.48.0.?', '504.144.1.?', '1197.36.0.?', '1368.144.1.?', '1596.48.1.?', '2394.216.7.?', '3192.96.1.?', '4788.432.21.?', '9576.864.21.?'], 'nonmax_primes': [2, 3], 'nonmax_rad': 6, 'num_bad_primes': 4, 'num_int_pts': 11, 'optimality': 1, 'potential_good_reduction': False, 'rank': 2, 'regulator': {'__RealLiteral__': 0, 'data': '6.1929703566269063599353926712', 'prec': 100}, 'semistable': False, 'serre_invariants': [[2, 2, 2793], [3, 4, 59584], [7, 32, 3648], [19, 20, 9408]], 'sha': 1, 'sha_primes': [], 'signD': 1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.81704735705184966000423204589', 'prec': 103}, 'szpiro_ratio': 5.180487974641846, 'torsion': 2, 'torsion_primes': [2], 'torsion_structure': [2]}
