Cremona's table of elliptic curves

19320 = 2³ · 3 · 5 · 7 · 23

Class	r	Atkin-Lehner	Eigenvalues
19320a (4 curves)	1	2+ 3+ 5+ 7+ 23+	2+ 3+ 5+ 7+ -4  2 -2 -4
Curve Equation t Generators 19320a1 [0,-1,0,-511,-1820] 2 [-4:12:1] 19320a2 [0,-1,0,-4156,103156] 4 [6:280:1] 19320a3 [0,-1,0,-66256,6586396] 2 [153:86:1] 19320a4 [0,-1,0,-376,280060] 2 [33:550:1]
19320b (2 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+ -2  0 -6 -4
Curve Equation t 19320b1 [0,-1,0,-1055516,402388980] 2 19320b2 [0,-1,0,506984,1490513980] 2
19320c (2 curves)	0	2+ 3+ 5+ 7+ 23-	2+ 3+ 5+ 7+ -2  6  0  2
Curve Equation t 19320c1 [0,-1,0,-96,60] 2 19320c2 [0,-1,0,-1016,-12084] 2
19320d (2 curves)	0	2+ 3+ 5- 7+ 23+	2+ 3+ 5- 7+  0 -4  8  6
Curve Equation t 19320d1 [0,-1,0,85680,5554332] 2 19320d2 [0,-1,0,-401000,48187500] 2
19320e (4 curves)	1	2+ 3+ 5- 7+ 23-	2+ 3+ 5- 7+  0  2  2  0
Curve Equation t Generators 19320e1 [0,-1,0,-186655,31021900] 4 [215:885:1] 19320e2 [0,-1,0,-264780,2646900] 4 [-450:5520:1] 19320e3 [0,-1,0,-2837280,-1832060100] 2 [7445:624220:1] 19320e4 [0,-1,0,1057720,20103900] 2 [125:12420:1]
19320f (4 curves)	1	2+ 3+ 5- 7- 23+	2+ 3+ 5- 7-  4 -2 -6 -8
Curve Equation t Generators 19320f1 [0,-1,0,-1135,15100] 4 [-25:165:1] 19320f2 [0,-1,0,-1260,11700] 4 [-18:168:1] 19320f3 [0,-1,0,-8160,-272580] 2 [137:1078:1] 19320f4 [0,-1,0,3640,76380] 2 [17:378:1]
19320g (2 curves)	0	2+ 3- 5+ 7+ 23+	2+ 3- 5+ 7+  0 -2  0 -8
Curve Equation t 19320g1 [0,1,0,-96,-336] 2 19320g2 [0,1,0,184,-1680] 2
19320h (2 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+ -2  0 -6  4
Curve Equation t Generators 19320h1 [0,1,0,-3168796,-2172205120] 2 [2336:56376:1] 19320h2 [0,1,0,-3166296,-2175801120] 2 [3756:197316:1]
19320i (2 curves)	1	2+ 3- 5+ 7+ 23-	2+ 3- 5+ 7+ -6 -4  2  4
Curve Equation t Generators 19320i1 [0,1,0,-476,3840] 2 [7:30:1] 19320i2 [0,1,0,-376,5600] 2 [-4:84:1]
19320j (4 curves)	0	2+ 3- 5+ 7- 23-	2+ 3- 5+ 7-  0 -2  6 -4
Curve Equation t 19320j1 [0,1,0,-271,-1810] 2 19320j2 [0,1,0,-316,-1216] 4 19320j3 [0,1,0,-2416,44144] 2 19320j4 [0,1,0,1064,-7840] 2
19320k (4 curves)	0	2+ 3- 5- 7+ 23-	2+ 3- 5- 7+  4  6  6 -8
Curve Equation t 19320k1 [0,1,0,-2940,60288] 2 19320k2 [0,1,0,-3920,15600] 4 19320k3 [0,1,0,-38920,-2952400] 2 19320k4 [0,1,0,15400,139248] 2
19320l (4 curves)	0	2+ 3- 5- 7- 23+	2+ 3- 5- 7- -4  2 -2 -4
Curve Equation t 19320l1 [0,1,0,-1020,-1152] 2 19320l2 [0,1,0,-11600,-483600] 4 19320l3 [0,1,0,-185480,-30808272] 2 19320l4 [0,1,0,-7000,-866320] 2
19320m (4 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7-  0 -6  6 -4
Curve Equation t Generators 19320m1 [0,-1,0,-108676,-13753340] 2 [388:1530:1] 19320m2 [0,-1,0,-108696,-13748004] 4 [46910:10159744:1] 19320m3 [0,-1,0,-131696,-7482804] 2 [-59:280:1] 19320m4 [0,-1,0,-86016,-19672020] 2 [1144085641:-247786503152:24389]
19320n (1 curve)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7-  3  0 -6 -1
Curve Equation t Generators 19320n1 [0,-1,0,-1,85] 1 [3:10:1]
19320o (4 curves)	1	2- 3+ 5+ 7- 23+	2- 3+ 5+ 7- -4 -2 -2 -4
Curve Equation t Generators 19320o1 [0,-1,0,-516,-4284] 2 [-12:6:1] 19320o2 [0,-1,0,-1016,5916] 4 [1:70:1] 19320o3 [0,-1,0,-13616,615756] 2 [73:74:1] 19320o4 [0,-1,0,3584,40876] 2 [185:2646:1]
19320p (2 curves)	0	2- 3+ 5+ 7- 23-	2- 3+ 5+ 7-  0  6 -4 -4
Curve Equation t 19320p1 [0,-1,0,-188056,22811356] 2 19320p2 [0,-1,0,484224,148393260] 2
19320q (2 curves)	0	2- 3+ 5+ 7- 23-	2- 3+ 5+ 7-  6 -2 -4  2
Curve Equation t 19320q1 [0,-1,0,-376,2716] 2 19320q2 [0,-1,0,-1296,-14580] 2
19320r (6 curves)	0	2- 3+ 5- 7+ 23-	2- 3+ 5- 7+  4  6  2 -4
Curve Equation t 19320r1 [0,-1,0,-92575,10872400] 4 19320r2 [0,-1,0,-92580,10871172] 8 19320r3 [0,-1,0,-103160,8243100] 4 19320r4 [0,-1,0,-82080,13420572] 4 19320r5 [0,-1,0,-678160,-208646900] 2 19320r6 [0,-1,0,302560,56767212] 2
19320s (4 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  0  2 -6  4
Curve Equation t Generators 19320s1 [0,-1,0,1500,23940] 4 [242:3808:1] 19320s2 [0,-1,0,-9080,239772] 4 [-83:644:1] 19320s3 [0,-1,0,-54160,-4646900] 2 [-139:420:1] 19320s4 [0,-1,0,-133280,18770412] 2 [997:29596:1]
19320t (4 curves)	1	2- 3+ 5- 7- 23-	2- 3+ 5- 7-  0 -6  2 -4
Curve Equation t Generators 19320t1 [0,-1,0,-6735,214992] 2 [49:15:1] 19320t2 [0,-1,0,-7140,188100] 4 [-60:630:1] 19320t3 [0,-1,0,-36120,-2466468] 2 [-106:400:1] 19320t4 [0,-1,0,15360,1115100] 4 [-10:980:1]
19320u (2 curves)	0	2- 3- 5+ 7+ 23-	2- 3- 5+ 7+  2 -4 -6  8
Curve Equation t 19320u1 [0,1,0,184,0] 2 19320u2 [0,1,0,-736,-736] 2
19320v (4 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  0  2  6  4
Curve Equation t 19320v1 [0,1,0,-1316,-2016] 2 19320v2 [0,1,0,-13816,617984] 4 19320v3 [0,1,0,-220816,39865184] 2 19320v4 [0,1,0,-6816,1250784] 2
19320w (2 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7- -2 -2  4 -2
Curve Equation t 19320w1 [0,1,0,-196936,33572864] 2 19320w2 [0,1,0,-197856,33242400] 2
19320x (4 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  4 -2 -2  4
Curve Equation t 19320x1 [0,1,0,-93934356,-350448022656] 2 19320x2 [0,1,0,-93934856,-350444105856] 4 19320x3 [0,1,0,-97296256,-324018123616] 2 19320x4 [0,1,0,-90581456,-376619404896] 2
19320y (2 curves)	0	2- 3- 5+ 7- 23+	2- 3- 5+ 7-  6 -4  2 -8
Curve Equation t 19320y1 [0,1,0,-2295396,1337770080] 2 19320y2 [0,1,0,-2232896,1414120080] 2
19320z (2 curves)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+ -2 -2  8 -2
Curve Equation t Generators 19320z1 [0,1,0,-2099160,-1170391680] 2 [2088:59616:1] 19320z2 [0,1,0,-2585840,-587543712] 2 [-557:26082:1]
19320ba (4 curves)	1	2- 3- 5- 7+ 23-	2- 3- 5- 7+  4  2 -2 -8
Curve Equation t Generators 19320ba1 [0,1,0,-180,16128] 4 [36:240:1] 19320ba2 [0,1,0,-10760,422400] 4 [-5:690:1] 19320ba3 [0,1,0,-19040,-326112] 2 [-29:450:1] 19320ba4 [0,1,0,-171760,27341600] 2 [275:990:1]
19320bb (6 curves)	1	2- 3- 5- 7- 23+	2- 3- 5- 7- -4 -2  2 -4
Curve Equation t Generators 19320bb1 [0,1,0,2305,14010] 4 [19:255:1] 19320bb2 [0,1,0,-9700,105248] 8 [-97:378:1] 19320bb3 [0,1,0,-89080,-10182400] 4 [-181:210:1] 19320bb4 [0,1,0,-122400,16424208] 4 [432:6660:1] 19320bb5 [0,1,0,-1422160,-653260192] 2 [25738:1340625:8] 19320bb6 [0,1,0,-26080,-24244000] 2 [419:6210:1]

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