Cremona's table of elliptic curves

38192 = 2⁴ · 7 · 11 · 31

Class	r	Atkin-Lehner	Eigenvalues
38192a (1 curve)	1	2+ 7+ 11+ 31+	2+  1 -3 7+ 11+ -6 -2  8
Curve Equation t Generators 38192a1 [0,1,0,-1232,16244] 1 [14:-44:1]
38192b (1 curve)	0	2+ 7+ 11+ 31-	2+  1  2 7+ 11+  6  4  5
Curve Equation t 38192b1 [0,1,0,-687,7412] 1
38192c (2 curves)	0	2+ 7+ 11- 31+	2+  2 -2 7+ 11-  6  8 -8
Curve Equation t 38192c1 [0,-1,0,336,32144] 2 38192c2 [0,-1,0,-13384,580944] 2
38192d (4 curves)	0	2+ 7- 11+ 31+	2+  0  2 7- 11+ -6 -6  8
Curve Equation t 38192d1 [0,0,0,-17279,1272318] 2 38192d2 [0,0,0,-310099,66454050] 4 38192d3 [0,0,0,-343979,51038650] 2 38192d4 [0,0,0,-4961339,4253500298] 4
38192e (1 curve)	0	2+ 7- 11+ 31+	2+  3  2 7- 11+  6  0 -1
Curve Equation t 38192e1 [0,0,0,-34,467] 1
38192f (1 curve)	1	2+ 7- 11+ 31-	2+ -1  0 7- 11+  4  6 -5
Curve Equation t Generators 38192f1 [0,-1,0,72,448] 1 [4:-28:1]
38192g (1 curve)	1	2+ 7- 11- 31+	2+  1  0 7- 11-  4  2 -1
Curve Equation t Generators 38192g1 [0,1,0,2632,-84700] 1 [302:5324:1]
38192h (2 curves)	0	2- 7+ 11+ 31+	2-  1  1 7+ 11+ -6 -2  0
Curve Equation t 38192h1 [0,1,0,-3995040,-3074811148] 1 38192h2 [0,1,0,9548000,-16285515788] 1
38192i (2 curves)	0	2- 7+ 11+ 31+	2-  1 -4 7+ 11+  4 -2  5
Curve Equation t 38192i1 [0,1,0,-8240,-374956] 1 38192i2 [0,1,0,-59760,35415764] 1
38192j (2 curves)	0	2- 7+ 11+ 31+	2- -1  0 7+ 11+  2  6  1
Curve Equation t 38192j1 [0,-1,0,-133,980] 1 38192j2 [0,-1,0,-12453,539056] 1
38192k (4 curves)	0	2- 7+ 11+ 31+	2-  2  0 7+ 11+ -4 -6 -2
Curve Equation t 38192k1 [0,-1,0,-1209275768,-16190433872272] 2 38192k2 [0,-1,0,-19350060408,-1036021808449936] 2 38192k3 [0,-1,0,717479832,-61141173039760] 2 38192k4 [0,-1,0,-19582951528,-1009804691010192] 2
38192l (2 curves)	0	2- 7+ 11+ 31+	2- -2 -2 7+ 11+  6  4  0
Curve Equation t 38192l1 [0,1,0,-17864,-1146764] 2 38192l2 [0,1,0,-304584,-64798604] 2
38192m (1 curve)	0	2- 7+ 11+ 31+	2-  3 -3 7+ 11+ -2 -6 -4
Curve Equation t 38192m1 [0,0,0,-859,-22006] 1
38192n (1 curve)	2	2- 7+ 11+ 31+	2- -3  0 7+ 11+ -4 -6 -7
Curve Equation t Generators 38192n1 [0,0,0,-115,562] 1 [-7:32:1]&[9:16:1]
38192o (2 curves)	1	2- 7+ 11+ 31-	2-  2  0 7+ 11+  4  2 -2
Curve Equation t Generators 38192o1 [0,-1,0,-18408,-1365136] 2 [112445340:-2461454963:216000] 38192o2 [0,-1,0,-328168,-72238224] 2 [56271:2458610:27]
38192p (2 curves)	1	2- 7+ 11- 31+	2- -1  0 7+ 11-  2 -6  1
Curve Equation t Generators 38192p1 [0,-1,0,-67053,-6665372] 1 [352116:6245668:729] 38192p2 [0,-1,0,70147,-29027600] 1 [6816:58564:27]
38192q (2 curves)	1	2- 7+ 11- 31+	2- -2 -4 7+ 11-  0  2 -6
Curve Equation t Generators 38192q1 [0,1,0,-2920,-252876] 2 [100:682:1] 38192q2 [0,1,0,-80360,-8771276] 2 [-164:154:1]
38192r (1 curve)	1	2- 7- 11+ 31+	2- -1  4 7- 11+  2 -2 -1
Curve Equation t Generators 38192r1 [0,-1,0,-21,-32] 1 [2016:1240:343]
38192s (1 curve)	0	2- 7- 11+ 31-	2-  1  2 7- 11+ -2 -4 -5
Curve Equation t 38192s1 [0,1,0,1568,-10892] 1
38192t (1 curve)	2	2- 7- 11+ 31-	2-  1 -2 7- 11+ -2 -8  3
Curve Equation t Generators 38192t1 [0,1,0,-7224,236180] 1 [-98:112:1]&[52:62:1]
38192u (1 curve)	0	2- 7- 11+ 31-	2- -1  1 7- 11+  0 -6  6
Curve Equation t 38192u1 [0,-1,0,18160,-322112] 1
38192v (1 curve)	2	2- 7- 11- 31+	2- -1 -2 7- 11- -6  0 -1
Curve Equation t Generators 38192v1 [0,-1,0,-60824,5816560] 1 [-244:2464:1]&[218:1694:1]
38192w (1 curve)	1	2- 7- 11- 31-	2- -1 -3 7- 11-  4  2  2
Curve Equation t Generators 38192w1 [0,-1,0,4368,368161216] 1 [-270:18634:1]

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

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