Cremona's table of elliptic curves

38304 = 2⁵ · 3² · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
38304a (2 curves)	1	2+ 3+ 7+ 19+	2+ 3+  2 7+ -4  0 -6 19+
Curve Equation t Generators 38304a1 [0,0,0,-69,212] 2 [1:12:1] 38304a2 [0,0,0,36,800] 2 [8:40:1]
38304b (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  0 7+ -4  2 -6 19-
Curve Equation t 38304b1 [0,0,0,-2476785,-1500308136] 2 38304b2 [0,0,0,-2487075,-1487213082] 2
38304c (2 curves)	0	2+ 3+ 7+ 19-	2+ 3+  4 7+  0  6 -2 19-
Curve Equation t 38304c1 [0,0,0,-33,-40] 2 38304c2 [0,0,0,-243,1430] 2
38304d (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  0 7-  4  2 -6 19+
Curve Equation t 38304d1 [0,0,0,-2476785,1500308136] 2 38304d2 [0,0,0,-2487075,1487213082] 2
38304e (2 curves)	0	2+ 3+ 7- 19+	2+ 3+  4 7-  0  6 -2 19+
Curve Equation t 38304e1 [0,0,0,-33,40] 2 38304e2 [0,0,0,-243,-1430] 2
38304f (2 curves)	1	2+ 3+ 7- 19-	2+ 3+ -2 7- -4  0  6 19-
Curve Equation t Generators 38304f1 [0,0,0,-621,5724] 2 [-15:108:1] 38304f2 [0,0,0,324,21600] 2 [-8:136:1]
38304g (2 curves)	2	2+ 3- 7+ 19+	2+ 3-  0 7+  0 -4 -2 19+
Curve Equation t Generators 38304g1 [0,0,0,-1245,12364] 2 [-206:1323:8]&[-7:144:1] 38304g2 [0,0,0,3165,80278] 2 [-3:266:1]&[53:630:1]
38304h (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  0 7+ -2  4 -8 19+
Curve Equation t 38304h1 [0,0,0,-55425,-5022344] 2 38304h2 [0,0,0,-55740,-4962368] 2
38304i (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  2 7+ -2 -6 -4 19+
Curve Equation t 38304i1 [0,0,0,-5000169,-4303533008] 2 38304i2 [0,0,0,-4999539,-4304671670] 2
38304j (4 curves)	0	2+ 3- 7+ 19+	2+ 3- -2 7+  0 -6 -2 19+
Curve Equation t 38304j1 [0,0,0,-372441,-86715200] 4 38304j2 [0,0,0,-94611,-213127850] 2 38304j3 [0,0,0,-664851,68437546] 2 38304j4 [0,0,0,-5944476,-5578512896] 2
38304k (2 curves)	0	2+ 3- 7+ 19+	2+ 3- -2 7+  6  6  4 19+
Curve Equation t 38304k1 [0,0,0,-122601,16507024] 2 38304k2 [0,0,0,-91731,25020970] 2
38304l (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  4 7+ -6  0  4 19+
Curve Equation t 38304l1 [0,0,0,-1713,-4520] 2 38304l2 [0,0,0,-17148,859840] 2
38304m (2 curves)	0	2+ 3- 7+ 19+	2+ 3- -4 7+  2  6  0 19+
Curve Equation t 38304m1 [0,0,0,-7257,-274300] 2 38304m2 [0,0,0,-120972,-16194400] 2
38304n (4 curves)	1	2+ 3- 7+ 19-	2+ 3- -2 7+  0 -2  6 19-
Curve Equation t Generators 38304n1 [0,0,0,-351921,80353240] 4 [-523:11016:1] 38304n2 [0,0,0,-336531,87700426] 2 [-33244:707931:64] 38304n3 [0,0,0,-367356,72919744] 2 [224:1368:1] 38304n4 [0,0,0,-5630691,5142693670] 2 [5994:432140:1]
38304o (4 curves)	1	2+ 3- 7+ 19-	2+ 3- -2 7+  0 -6 -2 19-
Curve Equation t Generators 38304o1 [0,0,0,-1579161,763574240] 4 [373:15048:1] 38304o2 [0,0,0,-1351731,991231670] 2 [506:20900:1] 38304o3 [0,0,0,-1808796,526958336] 2 [-560:36936:1] 38304o4 [0,0,0,-25264371,48877709834] 2 [3871186:808108:1331]
38304p (2 curves)	1	2+ 3- 7+ 19-	2+ 3- -4 7+  4  4  6 19-
Curve Equation t Generators 38304p1 [0,0,0,-13557,606580] 2 [89:324:1] 38304p2 [0,0,0,-9147,1007890] 2 [98:1026:1]
38304q (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  4  4  2 19+
Curve Equation t Generators 38304q1 [0,0,0,-47325,-1700372] 2 [-184:882:1] 38304q2 [0,0,0,168765,-12893834] 2 [110:2646:1]
38304r (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  0 -2  6 19+
Curve Equation t Generators 38304r1 [0,0,0,-351921,-80353240] 4 [1028:25382:1] 38304r2 [0,0,0,-336531,-87700426] 2 [1025:25382:1] 38304r3 [0,0,0,-367356,-72919744] 2 [-395:3249:1] 38304r4 [0,0,0,-5630691,-5142693670] 2 [4106:202390:1]
38304s (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7-  0 -6 -2 19+
Curve Equation t Generators 38304s1 [0,0,0,-1579161,-763574240] 4 [429295812:51330907166:29791] 38304s2 [0,0,0,-1351731,-991231670] 2 [1284274771839872934:153623346808922041730:89140901923711] 38304s3 [0,0,0,-1808796,-526958336] 2 [-386260:-3103596:343] 38304s4 [0,0,0,-25264371,-48877709834] 2 [57641:13784274:1]
38304t (2 curves)	1	2+ 3- 7- 19+	2+ 3- -4 7-  2  2 -8 19+
Curve Equation t Generators 38304t1 [0,0,0,-111586737,587104360540] 2 [4227:436982:1] 38304t2 [0,0,0,-1927499052,32568952052320] 2 [38282:3857868:1]
38304u (2 curves)	0	2+ 3- 7- 19-	2+ 3-  0 7-  2  4 -8 19-
Curve Equation t 38304u1 [0,0,0,-55425,5022344] 2 38304u2 [0,0,0,-55740,4962368] 2
38304v (2 curves)	0	2+ 3- 7- 19-	2+ 3-  2 7-  2 -6 -4 19-
Curve Equation t 38304v1 [0,0,0,-5000169,4303533008] 2 38304v2 [0,0,0,-4999539,4304671670] 2
38304w (2 curves)	2	2+ 3- 7- 19-	2+ 3- -2 7-  0 -4 -6 19-
Curve Equation t Generators 38304w1 [0,0,0,-801,17820] 2 [-8:154:1]&[13:98:1] 38304w2 [0,0,0,-16236,795744] 2 [-120:1008:1]&[90:-252:1]
38304x (4 curves)	2	2+ 3- 7- 19-	2+ 3- -2 7-  0 -6 -2 19-
Curve Equation t Generators 38304x1 [0,0,0,-372441,86715200] 4 [-571:10640:1]&[163:5508:1] 38304x2 [0,0,0,-94611,213127850] 2 [-422:13338:1]&[262:14364:1] 38304x3 [0,0,0,-664851,-68437546] 2 [29955:638666:27]&[-415:11662:1] 38304x4 [0,0,0,-5944476,5578512896] 2 [1424:1064:1]&[-620:95004:1]
38304y (2 curves)	0	2+ 3- 7- 19-	2+ 3- -2 7- -6  6  4 19-
Curve Equation t 38304y1 [0,0,0,-122601,-16507024] 2 38304y2 [0,0,0,-91731,-25020970] 2
38304z (2 curves)	0	2+ 3- 7- 19-	2+ 3-  4 7-  6  0  4 19-
Curve Equation t 38304z1 [0,0,0,-1713,4520] 2 38304z2 [0,0,0,-17148,-859840] 2
38304ba (2 curves)	0	2- 3+ 7+ 19+	2- 3+ -2 7+  4  0  6 19+
Curve Equation t 38304ba1 [0,0,0,-621,-5724] 2 38304ba2 [0,0,0,324,-21600] 2
38304bb (2 curves)	1	2- 3+ 7+ 19-	2- 3+  0 7+  4  2  6 19-
Curve Equation t Generators 38304bb1 [0,0,0,-22291065,40508319672] 2 [2484:21546:1] 38304bb2 [0,0,0,-22383675,40154753214] 2 [65010:399266:27]
38304bc (2 curves)	1	2- 3+ 7+ 19-	2- 3+ -4 7+  0  6  2 19-
Curve Equation t Generators 38304bc1 [0,0,0,-297,1080] 2 [-12:54:1] 38304bc2 [0,0,0,-2187,-38610] 2 [-26:26:1]
38304bd (2 curves)	1	2- 3+ 7- 19+	2- 3+  0 7- -4  2  6 19+
Curve Equation t Generators 38304bd1 [0,0,0,-22291065,-40508319672] 2 [-57918707816:1566912340:21253933] 38304bd2 [0,0,0,-22383675,-40154753214] 2 [449113939346433190:-24043699912636195316:64795271492125]
38304be (2 curves)	1	2- 3+ 7- 19+	2- 3+ -4 7-  0  6  2 19+
Curve Equation t Generators 38304be1 [0,0,0,-297,-1080] 2 [-8:28:1] 38304be2 [0,0,0,-2187,38610] 2 [46:188:1]
38304bf (2 curves)	0	2- 3+ 7- 19-	2- 3+  2 7-  4  0 -6 19-
Curve Equation t 38304bf1 [0,0,0,-69,-212] 2 38304bf2 [0,0,0,36,-800] 2
38304bg (2 curves)	1	2- 3- 7+ 19+	2- 3-  0 7+  2  4  0 19+
Curve Equation t Generators 38304bg1 [0,0,0,-705,7184] 2 [23:56:1] 38304bg2 [0,0,0,-1020,128] 2 [-14:108:1]
38304bh (2 curves)	1	2- 3- 7+ 19+	2- 3-  2 7+  2  2 -4 19+
Curve Equation t Generators 38304bh1 [0,0,0,-129,128] 2 [-1:16:1] 38304bh2 [0,0,0,501,1010] 2 [62:520:1]
38304bi (4 curves)	1	2- 3- 7+ 19+	2- 3-  2 7+  4  2 -2 19+
Curve Equation t Generators 38304bi1 [0,0,0,-1209,15640] 4 [-33:140:1] 38304bi2 [0,0,0,501,56338] 2 [3778:82215:8] 38304bi3 [0,0,0,-3099,-45218] 2 [-318:985:8] 38304bi4 [0,0,0,-19164,1021120] 2 [68:180:1]
38304bj (2 curves)	1	2- 3- 7+ 19+	2- 3- -2 7+  0 -4 -6 19+
Curve Equation t Generators 38304bj1 [0,0,0,-801,-17820] 2 [1408:52822:1] 38304bj2 [0,0,0,-16236,-795744] 2 [-75:9:1]
38304bk (2 curves)	0	2- 3- 7+ 19-	2- 3-  0 7+ -4  4  2 19-
Curve Equation t 38304bk1 [0,0,0,-47325,1700372] 2 38304bk2 [0,0,0,168765,12893834] 2
38304bl (2 curves)	0	2- 3- 7+ 19-	2- 3- -4 7+ -2  2 -8 19-
Curve Equation t 38304bl1 [0,0,0,-111586737,-587104360540] 2 38304bl2 [0,0,0,-1927499052,-32568952052320] 2
38304bm (2 curves)	0	2- 3- 7- 19+	2- 3- -4 7- -4  4  6 19+
Curve Equation t 38304bm1 [0,0,0,-13557,-606580] 2 38304bm2 [0,0,0,-9147,-1007890] 2
38304bn (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7-  0 -4 -2 19-
Curve Equation t Generators 38304bn1 [0,0,0,-1245,-12364] 2 [-25:56:1] 38304bn2 [0,0,0,3165,-80278] 2 [38:308:1]
38304bo (2 curves)	1	2- 3- 7- 19-	2- 3-  0 7- -2  4  0 19-
Curve Equation t Generators 38304bo1 [0,0,0,-705,-7184] 2 [-15:4:1] 38304bo2 [0,0,0,-1020,-128] 2 [-22:108:1]
38304bp (2 curves)	1	2- 3- 7- 19-	2- 3-  2 7- -2  2 -4 19-
Curve Equation t Generators 38304bp1 [0,0,0,-129,-128] 2 [-4:18:1] 38304bp2 [0,0,0,501,-1010] 2 [38:270:1]
38304bq (4 curves)	1	2- 3- 7- 19-	2- 3-  2 7- -4  2 -2 19-
Curve Equation t Generators 38304bq1 [0,0,0,-1209,-15640] 4 [152:1820:1] 38304bq2 [0,0,0,501,-56338] 2 [41:182:1] 38304bq3 [0,0,0,-3099,45218] 2 [274:4446:1] 38304bq4 [0,0,0,-19164,-1021120] 2 [11780:83135:64]
38304br (2 curves)	1	2- 3- 7- 19-	2- 3- -4 7- -2  6  0 19-
Curve Equation t Generators 38304br1 [0,0,0,-7257,274300] 2 [33:266:1] 38304br2 [0,0,0,-120972,16194400] 2 [-43:4617:1]

Data from Elliptic Curve Data by J. E. Cremona.
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