Cremona's table of elliptic curves

38190 = 2 · 3 · 5 · 19 · 67

Class	r	Atkin-Lehner	Eigenvalues
38190a (2 curves)	0	2+ 3+ 5+ 19+ 67-	2+ 3+ 5+  4  2  2  0 19+
Curve Equation t 38190a1 [1,1,0,-2713,65317] 2 38190a2 [1,1,0,-46033,3782173] 2
38190b (2 curves)	1	2+ 3+ 5+ 19- 67-	2+ 3+ 5+  0 -6  6 -2 19-
Curve Equation t Generators 38190b1 [1,1,0,3467,86317] 2 [-3:277:1] 38190b2 [1,1,0,-20853,811053] 2 [26:523:1]
38190c (2 curves)	0	2+ 3+ 5- 19+ 67+	2+ 3+ 5-  4  4  4 -8 19+
Curve Equation t 38190c1 [1,1,0,-257,-1611] 2 38190c2 [1,1,0,-4057,-101171] 2
38190d (2 curves)	1	2+ 3+ 5- 19+ 67-	2+ 3+ 5-  4  2 -2 -2 19+
Curve Equation t Generators 38190d1 [1,1,0,38,196] 2 [0:14:1] 38190d2 [1,1,0,-342,1944] 2 [-10:72:1]
38190e (4 curves)	1	2+ 3+ 5- 19+ 67-	2+ 3+ 5- -4  0  2  2 19+
Curve Equation t Generators 38190e1 [1,1,0,-274342,-52706156] 2 [-6729:17237:27] 38190e2 [1,1,0,-799222,208369156] 4 [-43:15599:1] 38190e3 [1,1,0,1914278,1320361456] 2 [1577:90119:1] 38190e4 [1,1,0,-11910802,15815694424] 4 [-87:129856:1]
38190f (2 curves)	1	2+ 3+ 5- 19- 67+	2+ 3+ 5-  4  0 -4 -8 19-
Curve Equation t Generators 38190f1 [1,1,0,-2071382,1123358676] 2 [-1643:10559:1] 38190f2 [1,1,0,239018,3493366996] 2 [-181055:1407427:125]
38190g (2 curves)	0	2+ 3- 5+ 19+ 67+	2+ 3- 5+ -2  0 -4  6 19+
Curve Equation t 38190g1 [1,0,1,-4239,65986] 2 38190g2 [1,0,1,-28559,-1811518] 2
38190h (2 curves)	0	2+ 3- 5+ 19+ 67+	2+ 3- 5+ -2  4  2 -4 19+
Curve Equation t 38190h1 [1,0,1,446,6212] 2 38190h2 [1,0,1,-3574,67316] 2
38190i (4 curves)	1	2+ 3- 5+ 19+ 67-	2+ 3- 5+  0  0  2  2 19+
Curve Equation t Generators 38190i1 [1,0,1,-5989,-178864] 2 [124:932:1] 38190i2 [1,0,1,-6309,-158768] 4 [-37:174:1] 38190i3 [1,0,1,12691,-926368] 2 [108:1252:1] 38190i4 [1,0,1,-30429,1896256] 2 [164:1068:1]
38190j (1 curve)	1	2+ 3- 5+ 19+ 67-	2+ 3- 5+  1 -3 -2  0 19+
Curve Equation t Generators 38190j1 [1,0,1,-474,5476] 1 [-4:-84:1]
38190k (4 curves)	1	2+ 3- 5+ 19- 67+	2+ 3- 5+  0  4 -2  2 19-
Curve Equation t Generators 38190k1 [1,0,1,-1424,-14578] 2 [45:91:1] 38190k2 [1,0,1,-8644,297326] 4 [-89:647:1] 38190k3 [1,0,1,4086,1101862] 2 [-70:723:1] 38190k4 [1,0,1,-136894,19483526] 2 [214:-97:1]
38190l (2 curves)	1	2+ 3- 5+ 19- 67+	2+ 3- 5+  2  4  4 -2 19-
Curve Equation t Generators 38190l1 [1,0,1,-13189,579836] 2 [61:26:1] 38190l2 [1,0,1,-6939,1132336] 2 [-112:768:1]
38190m (2 curves)	1	2+ 3- 5+ 19- 67+	2+ 3- 5+ -4 -2 -6  4 19-
Curve Equation t Generators 38190m1 [1,0,1,1871,9476] 2 [19:-238:1] 38190m2 [1,0,1,-7849,75572] 2 [-14:-421:1]
38190n (4 curves)	2	2+ 3- 5+ 19- 67-	2+ 3- 5+  0 -4 -6 -6 19-
Curve Equation t Generators 38190n1 [1,0,1,-419,5006] 2 [-6:88:1]&[142:381:8] 38190n2 [1,0,1,-7639,256262] 4 [18823:-28678:343]&[-44:734:1] 38190n3 [1,0,1,-8589,188242] 2 [-52:729:1]&[-46:720:1] 38190n4 [1,0,1,-122209,16433546] 2 [204:-47:1]&[214:197:1]
38190o (4 curves)	0	2+ 3- 5+ 19- 67-	2+ 3- 5+ -4  6  2 -6 19-
Curve Equation t 38190o1 [1,0,1,12861,-3219218] 6 38190o2 [1,0,1,-264159,-49426154] 6 38190o3 [1,0,1,-1316754,-581943644] 2 38190o4 [1,0,1,-21070674,-37229416028] 2
38190p (4 curves)	0	2+ 3- 5- 19+ 67-	2+ 3- 5-  0  4 -2  2 19+
Curve Equation t 38190p1 [1,0,1,-968,-29674] 2 38190p2 [1,0,1,-21448,-1209322] 4 38190p3 [1,0,1,-27528,-469994] 4 38190p4 [1,0,1,-343048,-77364202] 2
38190q (2 curves)	1	2+ 3- 5- 19- 67-	2+ 3- 5-  2  0 -1 -6 19-
Curve Equation t Generators 38190q1 [1,0,1,-553,5006] 3 [-8:98:1] 38190q2 [1,0,1,1922,25976] 1 [-8:104:1]
38190r (4 curves)	1	2+ 3- 5- 19- 67-	2+ 3- 5-  2  0 -4  6 19-
Curve Equation t Generators 38190r1 [1,0,1,-588893,173892008] 6 [8142:196565:8] 38190r2 [1,0,1,-589273,173656256] 6 [-635:17402:1] 38190r3 [1,0,1,-616268,156830858] 2 [1169:31575:1] 38190r4 [1,0,1,-2811148,-1665797494] 2 [-935:12527:1]
38190s (2 curves)	1	2+ 3- 5- 19- 67-	2+ 3- 5-  2 -4  0  2 19-
Curve Equation t Generators 38190s1 [1,0,1,-2873,-36772] 2 [-36:160:1] 38190s2 [1,0,1,-40873,-3183172] 2 [-116:80:1]
38190t (2 curves)	1	2+ 3- 5- 19- 67-	2+ 3- 5- -2  4  2  0 19-
Curve Equation t Generators 38190t1 [1,0,1,-28001633,97489273556] 2 [570180:-80942216:27] 38190t2 [1,0,1,-531318113,4712096088788] 2 [347358:-2263255:27]
38190u (2 curves)	1	2+ 3- 5- 19- 67-	2+ 3- 5- -2  4 -4 -6 19-
Curve Equation t Generators 38190u1 [1,0,1,-638,-6112] 2 [-16:15:1] 38190u2 [1,0,1,-10138,-393712] 2 [394:7340:1]
38190v (2 curves)	0	2- 3+ 5+ 19+ 67+	2- 3+ 5+  0 -6  6  6 19+
Curve Equation t 38190v1 [1,1,1,-3846,-551421] 2 38190v2 [1,1,1,-126966,-17394237] 2
38190w (2 curves)	1	2- 3+ 5+ 19+ 67-	2- 3+ 5+ -2 -4  6  0 19+
Curve Equation t Generators 38190w1 [1,1,1,-9646,-368917] 2 [167:1563:1] 38190w2 [1,1,1,-154366,-23408341] 2 [703:14349:1]
38190x (2 curves)	1	2- 3+ 5- 19+ 67+	2- 3+ 5-  2 -4  0 -2 19+
Curve Equation t Generators 38190x1 [1,1,1,-9250,325535] 2 [33:223:1] 38190x2 [1,1,1,-146430,21506127] 2 [137:1941:1]
38190y (2 curves)	1	2- 3+ 5- 19+ 67+	2- 3+ 5-  2 -4  6 -8 19+
Curve Equation t Generators 38190y1 [1,1,1,6772825,13010965085] 2 [4683:-386342:1] 38190y2 [1,1,1,-59090855,147662672477] 2 [6827:-253414:1]
38190z (4 curves)	1	2- 3+ 5- 19+ 67+	2- 3+ 5-  4 -4 -2  6 19+
Curve Equation t Generators 38190z1 [1,1,1,-1545,22695] 4 [-306:1479:8] 38190z2 [1,1,1,-2045,6095] 4 [36372:847087:64] 38190z3 [1,1,1,8005,58355] 2 [975900:-23998993:1728] 38190z4 [1,1,1,-20095,-1098565] 2 [2537107060:-60128269035:4410944]
38190ba (4 curves)	0	2- 3+ 5- 19+ 67-	2- 3+ 5-  0 -4 -2  2 19+
Curve Equation t 38190ba1 [1,1,1,-1525815,735135117] 4 38190ba2 [1,1,1,-24509495,46693301645] 4 38190ba3 [1,1,1,-24605975,46307034317] 2 38190ba4 [1,1,1,-392151895,2988861900365] 2
38190bb (1 curve)	1	2- 3+ 5- 19- 67-	2- 3+ 5- -1  3  6 -4 19-
Curve Equation t Generators 38190bb1 [1,1,1,-13311055,18686929877] 1 [2267:-14094:1]
38190bc (4 curves)	1	2- 3+ 5- 19- 67-	2- 3+ 5- -4  0 -6  2 19-
Curve Equation t Generators 38190bc1 [1,1,1,4265,-5766163] 4 [207:1906:1] 38190bc2 [1,1,1,-457815,-116850195] 4 [-427:1218:1] 38190bc3 [1,1,1,-1027815,231305805] 2 [10973:-1150182:1] 38190bc4 [1,1,1,-7281095,-7565142643] 2 [11097:-1136174:1]
38190bd (1 curve)	1	2- 3- 5+ 19+ 67+	2- 3- 5+  4 -6 -3 -4 19+
Curve Equation t Generators 38190bd1 [1,0,0,-4636,-12822640] 1 [266:2054:1]
38190be (1 curve)	1	2- 3- 5+ 19+ 67+	2- 3- 5+ -5  5 -2  0 19+
Curve Equation t Generators 38190be1 [1,0,0,4139239,-6970659015] 1 [2326:-124625:1]
38190bf (2 curves)	0	2- 3- 5+ 19+ 67-	2- 3- 5+  0  4 -4  0 19+
Curve Equation t 38190bf1 [1,0,0,-1621,-23299] 2 38190bf2 [1,0,0,-25371,-1557549] 2
38190bg (1 curve)	0	2- 3- 5+ 19- 67+	2- 3- 5+ -1  5  6 -8 19-
Curve Equation t 38190bg1 [1,0,0,-25016,1562046] 1
38190bh (2 curves)	0	2- 3- 5+ 19- 67+	2- 3- 5+  2 -4 -6  4 19-
Curve Equation t 38190bh1 [1,0,0,-18671,980265] 2 38190bh2 [1,0,0,-16771,1188125] 2
38190bi (1 curve)	1	2- 3- 5- 19+ 67-	2- 3- 5-  0 -2  1 -4 19+
Curve Equation t Generators 38190bi1 [1,0,0,155,257] 1 [2:23:1]
38190bj (2 curves)	1	2- 3- 5- 19+ 67-	2- 3- 5- -2  2 -2  2 19+
Curve Equation t Generators 38190bj1 [1,0,0,-1815,-2583] 2 [54:213:1] 38190bj2 [1,0,0,-19095,1010025] 2 [60:-315:1]
38190bk (1 curve)	1	2- 3- 5- 19- 67+	2- 3- 5- -2 -4 -3  2 19-
Curve Equation t Generators 38190bk1 [1,0,0,-61820,5943312] 1 [154:208:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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