Cremona's table of elliptic curves

19032 = 2³ · 3 · 13 · 61

Class	r	Atkin-Lehner	Eigenvalues
19032a (2 curves)	2	2+ 3+ 13+ 61-	2+ 3+  0 -4 -4 13+ -4  2
Curve Equation t Generators 19032a1 [0,-1,0,-268,1780] 2 [-6:56:1]&[-2:48:1] 19032a2 [0,-1,0,-328,988] 2 [-6:52:1]&[-3:44:1]
19032b (1 curve)	0	2+ 3+ 13- 61+	2+ 3+  1 -2  0 13- -1 -4
Curve Equation t 19032b1 [0,-1,0,-200,-23316] 1
19032c (1 curve)	1	2+ 3+ 13- 61-	2+ 3+  1 -5 -2 13- -5  2
Curve Equation t Generators 19032c1 [0,-1,0,-65,-507] 1 [13:26:1]
19032d (2 curves)	1	2+ 3+ 13- 61-	2+ 3+  2 -2  2 13-  2  8
Curve Equation t Generators 19032d1 [0,-1,0,-187,-848] 2 [-9:5:1] 19032d2 [0,-1,0,-2932,-60140] 2 [294:4940:1]
19032e (4 curves)	1	2+ 3+ 13- 61-	2+ 3+ -2  0  4 13- -6  4
Curve Equation t Generators 19032e1 [0,-1,0,-239,1284] 4 [-13:45:1] 19032e2 [0,-1,0,-1084,-12236] 4 [538:3705:8] 19032e3 [0,-1,0,-16944,-843300] 2 [37950:270845:216] 19032e4 [0,-1,0,1256,-59972] 2 [578:13908:1]
19032f (2 curves)	1	2+ 3+ 13- 61-	2+ 3+ -2 -2 -6 13-  6 -4
Curve Equation t Generators 19032f1 [0,-1,0,-59,24] 2 [-5:13:1] 19032f2 [0,-1,0,-644,-6060] 2 [-14:4:1]
19032g (2 curves)	1	2+ 3- 13+ 61-	2+ 3- -2 -2  0 13+  0  8
Curve Equation t Generators 19032g1 [0,1,0,36,-864] 2 [24:120:1] 19032g2 [0,1,0,-1184,-15504] 2 [-20:24:1]
19032h (2 curves)	1	2+ 3- 13+ 61-	2+ 3- -4  0  4 13+  0  2
Curve Equation t Generators 19032h1 [0,1,0,-300,-2016] 2 [-9:6:1] 19032h2 [0,1,0,-840,6624] 2 [36:156:1]
19032i (4 curves)	0	2+ 3- 13- 61-	2+ 3- -2  0  4 13-  2  8
Curve Equation t 19032i1 [0,1,0,-101199,-12123018] 4 19032i2 [0,1,0,-1608204,-785517984] 4 19032i3 [0,1,0,-25731264,-50247440208] 2 19032i4 [0,1,0,-1597224,-796761504] 2
19032j (4 curves)	2	2+ 3- 13- 61-	2+ 3- -2 -4 -4 13- -2 -4
Curve Equation t Generators 19032j1 [0,1,0,-3679,83486] 4 [-70:54:1]&[-43:405:1] 19032j2 [0,1,0,-7324,-113344] 4 [-64:312:1]&[-52:360:1] 19032j3 [0,1,0,-98584,-11940640] 2 [-181:78:1]&[364:732:1] 19032j4 [0,1,0,25616,-824848] 2 [44:624:1]&[131:2190:1]
19032k (2 curves)	0	2- 3+ 13+ 61+	2- 3+  0  2  0 13+  2  4
Curve Equation t 19032k1 [0,-1,0,-2868,64356] 2 19032k2 [0,-1,0,-46808,3913500] 2
19032l (2 curves)	0	2- 3+ 13+ 61+	2- 3+  4 -2  0 13+  6  0
Curve Equation t 19032l1 [0,-1,0,44,-92] 2 19032l2 [0,-1,0,-216,-612] 2
19032m (2 curves)	1	2- 3+ 13+ 61-	2- 3+  2  0  2 13+  0 -4
Curve Equation t Generators 19032m1 [0,-1,0,-3427,-76772] 2 [16905:172979:125] 19032m2 [0,-1,0,-54972,-4942620] 2 [540:11070:1]
19032n (2 curves)	1	2- 3+ 13- 61+	2- 3+  0  0  0 13-  0  0
Curve Equation t Generators 19032n1 [0,-1,0,-228,-1116] 2 [-10:8:1] 19032n2 [0,-1,0,312,-6084] 2 [17:62:1]
19032o (2 curves)	0	2- 3- 13+ 61-	2- 3-  2  4 -6 13+  0 -4
Curve Equation t 19032o1 [0,1,0,-3427,-78370] 2 19032o2 [0,1,0,-3292,-84688] 2
19032p (2 curves)	1	2- 3- 13- 61-	2- 3-  2  2 -2 13-  2 -4
Curve Equation t Generators 19032p1 [0,1,0,-14827,689990] 2 [71:15:1] 19032p2 [0,1,0,-14892,683568] 2 [42:366:1]
19032q (2 curves)	1	2- 3- 13- 61-	2- 3- -2  2 -2 13- -2  0
Curve Equation t Generators 19032q1 [0,1,0,-59,102] 2 [7:9:1] 19032q2 [0,1,0,-364,-2704] 2 [-10:6:1]

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

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