Cremona's table of elliptic curves

3192 = 2³ · 3 · 7 · 19

Class	r	Atkin-Lehner	Eigenvalues
3192a (4 curves)	0	2+ 3+ 7+ 19-	2+ 3+  2 7+  4 -6  6 19-
Curve Equation t 3192a1 [0,-1,0,-47,-108] 2 3192a2 [0,-1,0,-92,180] 4 3192a3 [0,-1,0,-1232,17052] 2 3192a4 [0,-1,0,328,1020] 2
3192b (4 curves)	0	2+ 3+ 7+ 19-	2+ 3+ -2 7+  0 -2  2 19-
Curve Equation t 3192b1 [0,-1,0,321,-1332] 4 3192b2 [0,-1,0,-1484,-9996] 4 3192b3 [0,-1,0,-20104,-1089956] 2 3192b4 [0,-1,0,-11744,486588] 2
3192c (4 curves)	0	2+ 3+ 7+ 19-	2+ 3+ -2 7+ -4  2 -6 19-
Curve Equation t 3192c1 [0,-1,0,-4359,-41940] 2 3192c2 [0,-1,0,-37164,2739924] 4 3192c3 [0,-1,0,-592824,175883580] 4 3192c4 [0,-1,0,-6384,7110684] 2
3192d (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7-  2 -4  0 19-
Curve Equation t Generators 3192d1 [0,-1,0,-23948,1131348] 2 [22:784:1] 3192d2 [0,-1,0,-360088,83283964] 2 [106:6804:1]
3192e (2 curves)	1	2+ 3+ 7- 19-	2+ 3+  0 7- -4  2  0 19-
Curve Equation t Generators 3192e1 [0,-1,0,-43,-104] 2 [15:49:1] 3192e2 [0,-1,0,-708,-7020] 2 [34:84:1]
3192f (2 curves)	0	2+ 3- 7+ 19+	2+ 3-  0 7+  6  4  0 19+
Curve Equation t 3192f1 [0,1,0,-28,32] 2 3192f2 [0,1,0,-168,-864] 2
3192g (2 curves)	1	2+ 3- 7+ 19-	2+ 3-  2 7+ -6 -2  0 19-
Curve Equation t Generators 3192g1 [0,1,0,-4955392,-4246324048] 2 [-1276:912:1] 3192g2 [0,1,0,-4283112,-5439217680] 2 [15531:1916910:1]
3192h (2 curves)	1	2+ 3- 7- 19+	2+ 3-  0 7-  0 -2 -8 19+
Curve Equation t Generators 3192h1 [0,1,0,37,402] 2 [1:21:1] 3192h2 [0,1,0,-628,5456] 2 [-16:108:1]
3192i (4 curves)	1	2+ 3- 7- 19+	2+ 3- -2 7- -4  2  2 19+
Curve Equation t Generators 3192i1 [0,1,0,41,86] 4 [14:60:1] 3192i2 [0,1,0,-204,576] 4 [-9:42:1] 3192i3 [0,1,0,-1464,-21600] 2 [-21:18:1] 3192i4 [0,1,0,-2864,58032] 2 [4:216:1]
3192j (4 curves)	0	2- 3+ 7+ 19+	2- 3+  2 7+ -4 -6  2 19+
Curve Equation t 3192j1 [0,-1,0,-932,11268] 4 3192j2 [0,-1,0,-952,10780] 4 3192j3 [0,-1,0,-3232,-57620] 2 3192j4 [0,-1,0,1008,47628] 2
3192k (2 curves)	1	2- 3+ 7+ 19-	2- 3+  0 7+  0 -2  0 19-
Curve Equation t Generators 3192k1 [0,-1,0,-43,124] 2 [1:9:1] 3192k2 [0,-1,0,-28,196] 2 [0:14:1]
3192l (2 curves)	1	2- 3+ 7+ 19-	2- 3+  2 7+  6 -2 -8 19-
Curve Equation t Generators 3192l1 [0,-1,0,-152,732] 2 [-2:32:1] 3192l2 [0,-1,0,128,2860] 2 [5:60:1]
3192m (2 curves)	1	2- 3+ 7+ 19-	2- 3+ -4 7+  0 -2  4 19-
Curve Equation t Generators 3192m1 [0,-1,0,-106435,-13329764] 2 [4301:281199:1] 3192m2 [0,-1,0,-106300,-13365404] 2 [396:2546:1]
3192n (4 curves)	1	2- 3+ 7- 19+	2- 3+ -2 7-  0 -2  6 19+
Curve Equation t Generators 3192n1 [0,-1,0,-84,-60] 4 [-8:6:1] 3192n2 [0,-1,0,-1064,-12996] 4 [45:168:1] 3192n3 [0,-1,0,-17024,-849300] 2 [501:10776:1] 3192n4 [0,-1,0,-784,-20276] 2 [1191:4600:27]
3192o (2 curves)	1	2- 3- 7+ 19+	2- 3- -4 7+  4  2 -4 19+
Curve Equation t Generators 3192o1 [0,1,0,-35,-66] 2 [-5:3:1] 3192o2 [0,1,0,100,-336] 2 [10:42:1]
3192p (2 curves)	1	2- 3- 7- 19-	2- 3- -4 7-  2 -4  4 19-
Curve Equation t Generators 3192p1 [0,1,0,-180,864] 2 [-6:42:1] 3192p2 [0,1,0,-320,-816] 2 [-8:36:1]

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

Part of Computational Number Theory
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