LMFDB - Elliptic curves over imaginary quadratic number fields

The database currently contains 455002 elliptic curves defined over number fields of signature (0,1) (degree 2), in 233944 isogeny classes, with conductors of norm up to 149968.

Number of curves and maximum conductor norm for fields of signature (0,1)

Field	Number of curves	Number of isogeny classes	Maximum conductor norm
2.0.3.1	77095	42818	149968
2.0.4.1	74037	40275	99994
2.0.7.1	70927	35893	49996
2.0.8.1	70040	36907	49992
2.0.11.1	56589	30614	49977
2.0.15.1	2034	691	980
2.0.19.1	6837	3988	14972
2.0.20.1	1782	660	987
2.0.23.1	9049	3743	2994
2.0.24.1	1210	514	985
2.0.31.1	10611	5163	5000
2.0.35.1	1054	431	993
2.0.39.1	3006	1182	1000
2.0.40.1	854	338	980
2.0.43.1	1807	1030	14884
2.0.47.1	2952	1288	996
2.0.51.1	674	304	988
2.0.52.1	664	290	986
2.0.55.1	1830	863	998
2.0.56.1	1950	856	996
2.0.59.1	977	564	972
2.0.67.1	849	452	10000
2.0.68.1	1552	772	975
2.0.71.1	3648	1774	1000
2.0.79.1	1453	802	1000
2.0.83.1	473	302	957
2.0.84.1	1776	688	994
2.0.87.1	1980	1018	979
2.0.88.1	530	209	968
2.0.91.1	474	217	980
2.0.95.1	3716	1759	990
2.0.103.1	918	552	988
2.0.104.1	1878	946	992
2.0.107.1	428	266	996
2.0.111.1	2730	1376	1000
2.0.115.1	304	118	980
2.0.119.1	4652	2157	1000
2.0.120.1	1614	562	980
2.0.123.1	28	7	99
2.0.127.1	44	20	88
2.0.131.1	36	30	84
2.0.132.1	280	92	100
2.0.136.1	108	38	100
2.0.139.1	4	2	37
2.0.143.1	208	88	99
2.0.148.1	50	15	100
2.0.151.1	36	24	100
2.0.152.1	114	58	100
2.0.155.1	68	22	100
2.0.159.1	130	81	100
2.0.163.1	271	111	4900
2.0.164.1	116	47	100
2.0.167.1	140	96	99
2.0.168.1	288	62	100
2.0.179.1	26	16	85
2.0.183.1	102	47	81
2.0.184.1	54	16	100
2.0.187.1	34	10	99
2.0.191.1	150	82	96
2.0.195.1	168	45	100
2.0.199.1	52	34	90
2.0.203.1	48	17	100
2.0.211.1	2	2	64
2.0.212.1	120	75	100
2.0.215.1	126	74	100
2.0.219.1	78	37	100
2.0.223.1	38	22	98
2.0.227.1	36	30	99
2.0.228.1	272	100	100
2.0.231.1	308	104	99
2.0.232.1	46	12	100
2.0.235.1	36	10	100
2.0.239.1	108	60	100
2.0.244.1	60	27	100
2.0.247.1	46	24	92
2.0.248.1	112	44	100
2.0.251.1	22	18	81
2.0.255.1	308	101	100
2.0.259.1	94	43	100
2.0.260.1	360	133	98
2.0.263.1	54	42	100
2.0.264.1	272	76	100
2.0.267.1	34	11	89
2.0.271.1	90	62	100
2.0.276.1	148	38	100
2.0.280.1	256	53	90
2.0.283.1	2	2	91
2.0.287.1	200	75	98
2.0.291.1	32	9	100
2.0.292.1	68	27	100
2.0.295.1	120	48	100
2.0.296.1	96	40	100
2.0.299.1	42	20	100
2.0.303.1	68	29	96
2.0.308.1	208	64	100
2.0.311.1	90	62	100
2.0.312.1	180	42	100
2.0.319.1	26	14	99
2.0.323.1	98	48	100
2.0.327.1	106	53	100
2.0.328.1	72	24	100
2.0.331.1	8	6	45
2.0.335.1	114	70	100
2.0.339.1	40	19	81
2.0.340.1	212	45	98
2.0.344.1	102	56	100
2.0.347.1	18	14	99
2.0.355.1	62	20	100
2.0.356.1	142	81	100
2.0.359.1	134	90	100
2.0.367.1	26	14	91
2.0.371.1	66	33	87
2.0.372.1	144	34	100
2.0.376.1	80	28	100
2.0.379.1	2	2	97
2.0.383.1	52	42	96
2.0.388.1	54	19	100
2.0.391.1	96	66	100
2.0.395.1	76	30	100
2.0.399.1	372	138	100
2.0.403.1	10	4	52
2.0.404.1	102	51	100
2.0.407.1	164	108	100
2.0.408.1	160	34	100
2.0.411.1	36	15	84
2.0.415.1	50	24	100
2.0.419.1	14	10	100
2.0.420.1	808	220	100
2.0.424.1	66	26	100
2.0.427.1	30	7	63
2.0.431.1	196	118	100
2.0.435.1	124	29	100
2.0.436.1	46	17	100
2.0.439.1	20	10	98
2.0.440.1	312	76	99
2.0.443.1	4	4	100
2.0.447.1	56	31	92
2.0.451.1	22	10	100
2.0.452.1	142	67	100
2.0.455.1	316	103	100
2.0.456.1	256	72	100
2.0.463.1	6	4	68
2.0.467.1	12	8	81
2.0.471.1	90	35	100
2.0.472.1	44	12	100
2.0.479.1	130	90	100
2.0.483.1	136	28	92
2.0.487.1	10	10	76
2.0.488.1	62	28	100
2.0.491.1	14	10	100
2.0.503.1	188	126	99
2.0.511.1	116	39	100
2.0.515.1	40	14	100
2.0.516.1	204	84	100
2.0.519.1	96	45	100
2.0.520.1	212	48	98
2.0.523.1	2	2	52
2.0.527.1	120	56	96
2.0.532.1	164	44	100
2.0.535.1	44	14	100
2.0.536.1	126	68	100
2.0.543.1	58	21	100
2.0.547.1	2	2	64
2.0.548.1	56	23	100
2.0.551.1	148	94	100
2.0.552.1	156	40	100
2.0.555.1	124	29	100
2.0.559.1	60	34	100
2.0.563.1	20	20	81
2.0.564.1	128	26	100
2.0.568.1	56	18	100
2.0.571.1	2	2	44
2.0.579.1	42	17	81
2.0.580.1	258	82	98
2.0.583.1	68	42	100
2.0.584.1	100	44	100
2.0.587.1	14	8	87
2.0.591.1	80	51	100
2.0.595.1	168	37	100
2.0.596.1	56	23	100
2.0.599.1	72	52	96
2.0.607.1	14	8	86
2.0.611.1	58	36	100
2.0.615.1	188	69	100
2.0.616.1	216	70	100
2.0.619.1	2	2	92
2.0.623.1	138	59	100
2.0.627.1	136	42	99
2.0.628.1	38	9	100
2.0.631.1	26	20	100
2.0.632.1	74	24	100
2.0.635.1	48	18	100
2.0.643.1	10	8	83
2.0.644.1	208	64	100
2.0.647.1	48	30	100
2.0.651.1	140	36	84
2.0.655.1	72	26	100
2.0.659.1	6	6	51
2.0.660.1	628	153	99
2.0.663.1	204	73	100
2.0.664.1	50	14	100
2.0.667.1	16	8	100
2.0.671.1	164	98	99
2.0.679.1	84	37	90
2.0.680.1	280	76	98
2.0.683.1	6	6	81
2.0.687.1	108	55	92
2.0.691.1	8	6	100
2.0.692.1	64	29	100
2.0.695.1	112	58	100
2.0.696.1	180	46	100
2.0.699.1	28	11	93
2.0.703.1	56	32	76
2.0.707.1	56	17	63
2.0.708.1	164	54	100
2.0.712.1	72	28	100
2.0.715.1	136	36	100
2.0.719.1	121	95	100
2.0.723.1	26	7	81
2.0.724.1	54	23	100
2.0.727.1	6	4	52
2.0.728.1	192	57	100
2.0.731.1	60	28	100
2.0.739.1	2	2	44
2.0.740.1	228	73	100
2.0.743.1	28	22	96
2.0.744.1	208	48	100
2.0.751.1	28	16	100
2.0.755.1	56	14	100
2.0.759.1	348	142	100
2.0.760.1	212	48	98
2.0.763.1	32	9	100
2.0.767.1	66	28	96
2.0.771.1	32	9	100
2.0.772.1	54	19	100
2.0.776.1	130	58	100
2.0.779.1	24	12	76
2.0.788.1	40	11	100
2.0.791.1	140	69	100
2.0.795.1	112	25	100
2.0.799.1	86	36	100
2.0.803.1	26	12	99
2.0.804.1	184	68	100
2.0.807.1	48	21	81
2.0.808.1	44	10	100
2.0.815.1	180	112	100
2.0.820.1	258	78	98
2.0.823.1	14	12	74
2.0.824.1	84	34	100
2.0.827.1	2	2	99
2.0.831.1	72	45	100
2.0.835.1	36	10	100
2.0.836.1	192	74	100
2.0.839.1	76	64	98
2.0.840.1	684	153	90
2.0.843.1	28	11	81
2.0.851.1	68	38	92
2.0.852.1	120	22	100
2.0.856.1	40	8	100
2.0.859.1	2	2	35
2.0.863.1	30	18	68
2.0.868.1	192	64	100
2.0.871.1	52	34	100
2.0.872.1	48	16	100
2.0.879.1	60	35	100
2.0.883.1	2	2	25
2.0.884.1	246	94	100
2.0.887.1	68	50	99
2.0.888.1	176	46	100
2.0.895.1	92	42	100
2.0.899.1	16	8	75
2.0.903.1	232	80	100
2.0.904.1	98	38	100
2.0.907.1	2	2	100
2.0.911.1	68	48	100
2.0.915.1	188	73	100
2.0.916.1	64	27	100
2.0.919.1	24	20	100
2.0.920.1	316	100	99
2.0.923.1	10	4	52
2.0.932.1	64	21	100
2.0.935.1	220	76	100
2.0.939.1	38	15	100
2.0.943.1	48	24	100
2.0.947.1	2	2	36
2.0.948.1	156	50	100
2.0.951.1	32	15	85
2.0.952.1	172	41	100
2.0.955.1	56	14	100
2.0.959.1	184	87	100
2.0.964.1	58	23	100
2.0.967.1	10	4	44
2.0.971.1	8	6	81
2.0.979.1	46	26	99
2.0.983.1	30	30	98
2.0.984.1	216	46	100
2.0.987.1	144	36	84
2.0.991.1	14	12	100
2.0.995.1	64	18	100
2.0.996.1	176	70	100
2.0.1003.1	8	4	9
2.0.1007.1	4	2	9
2.0.1011.1	4	2	12
2.0.1012.1	12	4	11
2.0.1015.1	8	4	4
2.0.1016.1	12	6	9
2.0.1019.1	2	2	12
2.0.1023.1	16	6	11
2.0.1027.1	4	2	4
2.0.1028.1	4	2	2
2.0.1047.1	8	4	12
2.0.1055.1	16	12	12
2.0.1060.1	16	8	9
2.0.1064.1	32	8	14
2.0.1067.1	18	8	11
2.0.1076.1	4	4	15
2.0.1091.1	2	2	11
2.0.1092.1	80	32	14
2.0.1095.1	32	4	15
2.0.1103.1	4	4	12
2.0.1111.1	10	6	11
2.0.1131.1	24	8	12
2.0.1139.1	12	8	15
2.0.1140.1	64	8	15
2.0.1144.1	12	4	11
2.0.1155.1	88	16	15
2.0.1159.1	8	6	9
2.0.1160.1	4	2	9
2.0.1163.1	2	2	9
2.0.1172.1	4	4	9
2.0.1191.1	10	6	12
2.0.1199.1	6	2	11
2.0.1203.1	4	4	12
2.0.1204.1	24	4	14
2.0.1208.1	8	2	9
2.0.1211.1	8	2	9
2.0.1231.1	2	2	14
2.0.1243.1	6	2	11
2.0.1247.1	4	2	9
2.0.1252.1	4	2	2
2.0.1256.1	4	4	9
2.0.1263.1	16	10	12
2.0.1271.1	4	2	4
2.0.1284.1	4	4	8
2.0.1288.1	24	4	14
2.0.1295.1	8	2	9
2.0.1299.1	2	2	12
2.0.1316.1	28	8	14
2.0.1319.1	8	4	15
2.0.1320.1	88	16	15
2.0.1335.1	32	4	15
2.0.1336.1	4	4	9
2.0.1339.1	4	2	4
2.0.1343.1	4	4	9
2.0.1351.1	6	4	9
2.0.1364.1	20	8	11
2.0.1371.1	8	4	12
2.0.1380.1	64	8	15
2.0.1387.1	4	2	9
2.0.1391.1	8	6	14
2.0.1407.1	8	2	9
2.0.1411.1	8	4	9
2.0.1412.1	8	4	6
2.0.1416.1	12	12	5
2.0.1419.1	12	4	11
2.0.1428.1	48	8	14
2.0.1439.1	2	2	13
2.0.1448.1	8	4	14
2.0.1455.1	32	4	15
2.0.1463.1	12	4	11
2.0.1487.1	2	2	12
2.0.1496.1	16	6	11
2.0.1507.1	6	2	11
2.0.1515.1	32	4	15
2.0.1527.1	4	4	12
2.0.1540.1	72	16	14
2.0.1544.1	18	10	10
2.0.1547.1	8	8	9
2.0.1551.1	60	28	12
2.0.1559.1	4	4	14
2.0.1560.1	64	8	15
2.0.1572.1	12	8	9
2.0.1583.1	4	2	6
2.0.1588.1	8	4	14
2.0.1592.1	12	6	9
2.0.1595.1	12	4	11
2.0.1604.1	2	2	2
2.0.1607.1	10	4	9
2.0.1615.1	8	4	4
2.0.1619.1	2	2	9
2.0.1624.1	24	4	14
2.0.1631.1	8	4	12
2.0.1635.1	44	12	15
2.0.1639.1	6	2	11
2.0.1640.1	16	8	10
2.0.1651.1	4	2	4
2.0.1652.1	24	4	14
2.0.1655.1	4	4	14
2.0.1659.1	8	2	9
2.0.1671.1	4	4	4
2.0.1672.1	12	4	11
2.0.1679.1	4	2	9
2.0.1691.1	4	2	9
2.0.1695.1	32	4	15
2.0.1703.1	24	10	9
2.0.1711.1	4	2	4
2.0.1716.1	24	8	11
2.0.1727.1	20	16	11
2.0.1731.1	4	2	3
2.0.1732.1	2	2	8
2.0.1736.1	32	12	14
2.0.1739.1	12	8	9
2.0.1743.1	8	8	9
2.0.1751.1	8	4	9
2.0.1752.1	8	4	3
2.0.1763.1	4	2	4
2.0.1767.1	4	4	4
2.0.1768.1	32	16	13
2.0.1771.1	12	4	11
2.0.1780.1	12	8	8
2.0.1784.1	16	10	13
2.0.1799.1	8	2	9
2.0.1803.1	6	4	12
2.0.1807.1	4	2	4
2.0.1811.1	2	2	3
2.0.1828.1	4	2	2
2.0.1844.1	4	4	12
2.0.1847.1	2	2	12
2.0.1848.1	72	16	14
2.0.1860.1	72	16	15
2.0.1864.1	2	2	4
2.0.1876.1	24	4	14
2.0.1879.1	6	4	10
2.0.1883.1	8	2	9
2.0.1892.1	20	12	11
2.0.1903.1	6	2	11
2.0.1919.1	4	2	9
2.0.1928.1	4	2	9
2.0.1931.1	2	2	9
2.0.1943.1	8	6	4
2.0.1947.1	12	4	11
2.0.1956.1	4	2	9
2.0.1983.1	10	4	12
2.0.1988.1	24	4	14
2.0.1991.1	8	4	11
2.0.1995.1	64	8	15
2.0.2019.1	2	2	3
2.0.2024.1	12	4	11
2.0.2035.1	20	8	11
2.0.2040.1	64	8	15
2.0.2051.1	12	6	9
2.0.2055.1	32	4	15
2.0.2056.1	4	2	2
2.0.2059.1	4	2	4
2.0.2063.1	4	2	6
2.0.2067.1	24	8	12
2.0.2068.1	28	20	11
2.0.2071.1	4	4	8
2.0.2072.1	24	4	14
2.0.2084.1	2	2	8
2.0.2120.1	4	2	9
2.0.2123.1	6	2	11
2.0.2139.1	8	4	9
2.0.2147.1	4	2	9
2.0.2148.1	12	8	9
2.0.2159.1	16	8	10
2.0.2163.1	4	4	7
2.0.2167.1	6	2	11
2.0.2168.1	12	6	9
2.0.2180.1	8	4	2
2.0.2199.1	4	2	4
2.0.2211.1	16	6	11
2.0.2212.1	4	4	2
2.0.2219.1	4	4	9
2.0.2231.1	4	4	9
2.0.2243.1	2	2	11
2.0.2244.1	24	8	11
2.0.2255.1	12	4	11
2.0.2264.1	8	4	6
2.0.2267.1	2	2	9
2.0.2279.1	10	8	10
2.0.2283.1	4	4	4
2.0.2287.1	2	2	11
2.0.2291.1	4	4	9
2.0.2308.1	4	2	9
2.0.2323.1	4	2	9
2.0.2327.1	20	6	9
2.0.2328.1	8	4	6
2.0.2343.1	12	4	11
2.0.2344.1	4	4	8
2.0.2351.1	4	4	4
2.0.2372.1	2	2	9
2.0.2379.1	36	24	4
2.0.2387.1	12	4	11
2.0.2391.1	4	4	4
2.0.2404.1	2	2	2
2.0.2407.1	4	2	4
2.0.2419.1	4	2	4
2.0.2431.1	12	4	11
2.0.2451.1	12	6	9
2.0.2456.1	4	4	3
2.0.2471.1	8	2	9
2.0.2479.1	8	4	9
2.0.2483.1	4	2	4
2.0.2491.1	6	4	4
2.0.10691.1	2	2	1
2.0.127285811.1	2	2	1
2.0.218017403.1	2	2	1
2.0.349633643.1	2	2	1
2.0.443038171.1	2	2	1
2.0.451767203.1	2	2	1

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$
Belyi maps

Introduction

L-functions

Modular forms

Varieties

Fields

Representations

Groups

Database

Learn more

Number of curves and maximum conductor norm for fields of signature (0,1)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.