Cremona's table of elliptic curves

19824 = 2⁴ · 3 · 7 · 59

Class	r	Atkin-Lehner	Eigenvalues
19824a (2 curves)	0	2+ 3+ 7+ 59-	2+ 3+  2 7+  4 -2  0  4
Curve Equation t 19824a1 [0,-1,0,-512,-4272] 2 19824a2 [0,-1,0,-232,-9200] 2
19824b (2 curves)	0	2+ 3+ 7+ 59-	2+ 3+  2 7+ -6  0  2  8
Curve Equation t 19824b1 [0,-1,0,13,-30] 2 19824b2 [0,-1,0,-92,-240] 2
19824c (4 curves)	1	2+ 3+ 7- 59-	2+ 3+  2 7- -4  2  6 -4
Curve Equation t Generators 19824c1 [0,-1,0,-1727,210] 2 [-70602:450465:2744] 19824c2 [0,-1,0,-19132,-1009280] 4 [33955636:1260019320:24389] 19824c3 [0,-1,0,-305872,-65009648] 2 [5568:413308:1] 19824c4 [0,-1,0,-10872,-1894752] 2 [314209011859890:-11677981112274331:225866529000]
19824d (4 curves)	1	2+ 3+ 7- 59-	2+ 3+ -2 7- -4 -2  2 -4
Curve Equation t Generators 19824d1 [0,-1,0,721,-1446] 2 [102:980:27] 19824d2 [0,-1,0,-2924,-8736] 4 [60:168:1] 19824d3 [0,-1,0,-34784,-2481072] 2 [-104:28:1] 19824d4 [0,-1,0,-29384,1938720] 4 [858:777:8]
19824e (2 curves)	0	2+ 3- 7+ 59+	2+ 3-  0 7+ -4  0  6  4
Curve Equation t 19824e1 [0,1,0,-3477488,-2497142364] 2 19824e2 [0,1,0,-3381448,-2641471276] 2
19824f (4 curves)	0	2+ 3- 7+ 59+	2+ 3- -2 7+  4 -2 -2 -4
Curve Equation t 19824f1 [0,1,0,-124,140] 2 19824f2 [0,1,0,-1104,-14364] 4 19824f3 [0,1,0,-17624,-906444] 2 19824f4 [0,1,0,-264,-34860] 2
19824g (2 curves)	1	2+ 3- 7+ 59-	2+ 3-  0 7+ -4  4 -6 -4
Curve Equation t Generators 19824g1 [0,1,0,-4648,-123196] 2 [-40:18:1] 19824g2 [0,1,0,-2688,-225900] 2 [102:756:1]
19824h (2 curves)	1	2+ 3- 7- 59+	2+ 3-  0 7- -4  0  8  4
Curve Equation t Generators 19824h1 [0,1,0,-68,-228] 2 [246:3864:1] 19824h2 [0,1,0,-208,836] 2 [-16:18:1]
19824i (1 curve)	1	2+ 3- 7- 59+	2+ 3- -1 7-  0 -2 -6  6
Curve Equation t Generators 19824i1 [0,1,0,-656,10356] 1 [22:-84:1]
19824j (2 curves)	1	2+ 3- 7- 59+	2+ 3-  2 7-  2 -4  2  0
Curve Equation t Generators 19824j1 [0,1,0,-3067,-66400] 2 [68:210:1] 19824j2 [0,1,0,-2772,-79380] 2 [126:1260:1]
19824k (4 curves)	1	2+ 3- 7- 59+	2+ 3- -2 7-  0  2 -6 -4
Curve Equation t Generators 19824k1 [0,1,0,-1239,16380] 2 [1380:795:64] 19824k2 [0,1,0,-1244,16236] 4 [34:120:1] 19824k3 [0,1,0,-2504,-23580] 2 [55:90:1] 19824k4 [0,1,0,-64,46916] 4 [-16:210:1]
19824l (2 curves)	1	2+ 3- 7- 59+	2+ 3- -4 7- -4  4  2  4
Curve Equation t Generators 19824l1 [0,1,0,-400,-796] 2 [-16:42:1] 19824l2 [0,1,0,1560,-4716] 2 [12:126:1]
19824m (2 curves)	0	2- 3+ 7+ 59+	2- 3+ -2 7+  2  0 -2 -4
Curve Equation t 19824m1 [0,-1,0,-169,-1136] 2 19824m2 [0,-1,0,-3004,-62372] 2
19824n (2 curves)	0	2- 3+ 7+ 59+	2- 3+ -2 7+  4  6 -2  4
Curve Equation t 19824n1 [0,-1,0,-1750309,-890743016] 2 19824n2 [0,-1,0,-28005244,-57034296020] 2
19824o (2 curves)	0	2- 3+ 7+ 59+	2- 3+ -2 7+  4 -6  4  4
Curve Equation t 19824o1 [0,-1,0,-3584,0] 2 19824o2 [0,-1,0,14336,-14336] 2
19824p (2 curves)	0	2- 3+ 7+ 59+	2- 3+ -3 7+  0  2  6 -2
Curve Equation t 19824p1 [0,-1,0,4248,-4511376] 1 19824p2 [0,-1,0,-38232,121841136] 1
19824q (2 curves)	0	2- 3+ 7+ 59+	2- 3+  4 7+  0  4  0 -4
Curve Equation t 19824q1 [0,-1,0,-96,-192] 2 19824q2 [0,-1,0,-656,6528] 2
19824r (4 curves)	1	2- 3+ 7+ 59-	2- 3+  0 7+  0 -4  0  4
Curve Equation t Generators 19824r1 [0,-1,0,-7848,-205200] 2 [-62:198:1] 19824r2 [0,-1,0,-117608,-15483792] 2 [-143982:23606:729] 19824r3 [0,-1,0,-207768,36504816] 2 [250:354:1] 19824r4 [0,-1,0,-243608,23086320] 2 [1058:30798:1]
19824s (2 curves)	1	2- 3+ 7- 59+	2- 3+ -2 7-  0  2  6  4
Curve Equation t Generators 19824s1 [0,-1,0,-29,-216] 2 [36:210:1] 19824s2 [0,-1,0,-764,-7860] 2 [330:1365:8]
19824t (2 curves)	1	2- 3- 7+ 59+	2- 3-  2 7+ -6 -4  2  4
Curve Equation t Generators 19824t1 [0,1,0,63,1530] 2 [804:4275:64] 19824t2 [0,1,0,-1652,24168] 2 [7:114:1]
19824u (1 curve)	0	2- 3- 7+ 59-	2- 3-  1 7+  4 -2 -6  2
Curve Equation t 19824u1 [0,1,0,0,-2124] 1
19824v (4 curves)	0	2- 3- 7+ 59-	2- 3- -2 7+  4 -2  6 -4
Curve Equation t 19824v1 [0,1,0,-4286464,3401557940] 2 19824v2 [0,1,0,-68511744,218247964596] 4 19824v3 [0,1,0,-1096187904,13968966055860] 2 19824v4 [0,1,0,-68440064,218727503796] 4
19824w (2 curves)	0	2- 3- 7- 59+	2- 3-  0 7-  0  4  4  4
Curve Equation t 19824w1 [0,1,0,-10088,318516] 2 19824w2 [0,1,0,-153448,23084084] 2
19824x (2 curves)	1	2- 3- 7- 59-	2- 3-  0 7-  0  0  0 -4
Curve Equation t Generators 19824x1 [0,1,0,-4928,131124] 2 [10:288:1] 19824x2 [0,1,0,-7168,-2380] 2 [-4:162:1]
19824y (4 curves)	1	2- 3- 7- 59-	2- 3-  2 7- -4  2  2 -4
Curve Equation t Generators 19824y1 [0,1,0,-3232,-69388] 2 [75774:4014080:27] 19824y2 [0,1,0,-8352,198900] 4 [-100:210:1] 19824y3 [0,1,0,-121632,16284660] 2 [266:1680:1] 19824y4 [0,1,0,23008,1365492] 4 [-1356:7910:27]

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