Cremona's table of elliptic curves

24360 = 2³ · 3 · 5 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
24360a (4 curves)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -4 -2  6  4
Curve Equation t Generators 24360a1 [0,-1,0,-16476,-808524] 2 [29470:361328:125] 24360a2 [0,-1,0,-16976,-756324] 4 [874:25520:1] 24360a3 [0,-1,0,23624,-3858164] 2 [6922:206085:8] 24360a4 [0,-1,0,-65576,5678316] 2 [1176659:33614770:1331]
24360b (4 curves)	1	2+ 3+ 5+ 7+ 29+	2+ 3+ 5+ 7+ -4 -6  2 -4
Curve Equation t Generators 24360b1 [0,-1,0,-1036,5236] 2 [30:16:1] 24360b2 [0,-1,0,-13536,610236] 4 [41:350:1] 24360b3 [0,-1,0,-10536,885036] 2 [65:686:1] 24360b4 [0,-1,0,-216536,38855436] 2 [273:114:1]
24360c (1 curve)	0	2+ 3+ 5+ 7+ 29-	2+ 3+ 5+ 7+  1 -2 -3  3
Curve Equation t 24360c1 [0,-1,0,-288481096,-1885938192980] 1
24360d (2 curves)	2	2+ 3+ 5+ 7+ 29-	2+ 3+ 5+ 7+ -4 -2  2 -2
Curve Equation t Generators 24360d1 [0,-1,0,-771,8496] 2 [-29:75:1]&[-12:126:1] 24360d2 [0,-1,0,-596,12276] 2 [-2:116:1]&[18:84:1]
24360e (1 curve)	1	2+ 3+ 5+ 7- 29-	2+ 3+ 5+ 7- -3  4  6 -4
Curve Equation t Generators 24360e1 [0,-1,0,-201,29421] 1 [53:-406:1]
24360f (2 curves)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+  0  2  2  6
Curve Equation t Generators 24360f1 [0,-1,0,-73155,7644312] 2 [152:116:1] 24360f2 [0,-1,0,-1170660,487912500] 2 [4986:609:8]
24360g (4 curves)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+  0  2 -2  4
Curve Equation t Generators 24360g1 [0,-1,0,-3340,58420] 2 [-54:280:1] 24360g2 [0,-1,0,-17920,-868868] 4 [6522:183425:8] 24360g3 [0,-1,0,13400,-3612500] 2 [323749035:-4522038598:1520875] 24360g4 [0,-1,0,-282520,-57704948] 2 [-50960745:-1950814:166375]
24360h (2 curves)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+  0  2 -6 -6
Curve Equation t Generators 24360h1 [0,-1,0,20965,-168168] 2 [7432:640784:1] 24360h2 [0,-1,0,-84740,-1267500] 2 [305:1080:1]
24360i (1 curve)	1	2+ 3+ 5- 7+ 29-	2+ 3+ 5- 7+ -3 -1 -6  3
Curve Equation t Generators 24360i1 [0,-1,0,-12040,-514388] 1 [129:250:1]
24360j (1 curve)	0	2+ 3+ 5- 7- 29-	2+ 3+ 5- 7- -5  2  1 -3
Curve Equation t 24360j1 [0,-1,0,-34440,-8156628] 1
24360k (1 curve)	0	2+ 3- 5+ 7+ 29+	2+ 3- 5+ 7+  1 -2 -5 -5
Curve Equation t 24360k1 [0,1,0,-6536,201264] 1
24360l (2 curves)	1	2+ 3- 5+ 7+ 29-	2+ 3- 5+ 7+  4 -2 -6  2
Curve Equation t Generators 24360l1 [0,1,0,-49131,-2164806] 2 [-171:1125:1] 24360l2 [0,1,0,165244,-15799056] 2 [172:4212:1]
24360m (2 curves)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+  0  4  0  4
Curve Equation t Generators 24360m1 [0,1,0,-1660,-25600] 2 [-25:30:1] 24360m2 [0,1,0,840,-93600] 2 [60:420:1]
24360n (4 curves)	1	2+ 3- 5- 7+ 29+	2+ 3- 5- 7+  4 -2 -2  4
Curve Equation t Generators 24360n1 [0,1,0,-30780,-65472] 2 [-4:240:1] 24360n2 [0,1,0,-343280,-77315472] 4 [-9483:6020:27] 24360n3 [0,1,0,-198280,-142971472] 2 [83607433388:-10713252648105:5088448] 24360n4 [0,1,0,-5488280,-4950659472] 2 [362161212:-46021576245:21952]
24360o (4 curves)	1	2+ 3- 5- 7- 29-	2+ 3- 5- 7-  0 -2 -2 -4
Curve Equation t Generators 24360o1 [0,1,0,-17255,157878] 4 [-119:735:1] 24360o2 [0,1,0,-170380,-26975872] 4 [-244:360:1] 24360o3 [0,1,0,-68880,-58725072] 2 [771:18630:1] 24360o4 [0,1,0,-2721880,-1729336672] 2 [2411:75690:1]
24360p (1 curve)	0	2- 3+ 5+ 7+ 29+	2- 3+ 5+ 7+  3  3  0  3
Curve Equation t 24360p1 [0,-1,0,384,4716] 1
24360q (2 curves)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7- -4  0  2 -2
Curve Equation t 24360q1 [0,-1,0,-2296,-41444] 2 24360q2 [0,-1,0,-1216,-81620] 2
24360r (4 curves)	0	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7- -4  2  6  4
Curve Equation t 24360r1 [0,-1,0,-197071,-37860680] 2 24360r2 [0,-1,0,-3262516,-2267052284] 4 24360r3 [0,-1,0,-3372136,-2106437060] 2 24360r4 [0,-1,0,-52200016,-145144977284] 2
24360s (4 curves)	2	2- 3+ 5+ 7- 29-	2- 3+ 5+ 7- -4 -6 -2 -4
Curve Equation t Generators 24360s1 [0,-1,0,-1951,69496] 2 [-31:315:1]&[-27:319:1] 24360s2 [0,-1,0,-39796,3066820] 4 [120:-70:1]&[-176:2142:1] 24360s3 [0,-1,0,-48496,1636540] 2 [-66:2132:1]&[-39:1862:1] 24360s4 [0,-1,0,-636616,195720316] 2 [470:336:1]&[561:3850:1]
24360t (4 curves)	0	2- 3+ 5- 7+ 29-	2- 3+ 5- 7+  4 -2  2  8
Curve Equation t 24360t1 [0,-1,0,665,-5768] 4 24360t2 [0,-1,0,-3540,-49500] 4 24360t3 [0,-1,0,-23840,1387740] 2 24360t4 [0,-1,0,-50520,-4352868] 2
24360u (2 curves)	2	2- 3+ 5- 7+ 29-	2- 3+ 5- 7+ -4 -6 -2 -2
Curve Equation t Generators 24360u1 [0,-1,0,205,900] 2 [5:-45:1]&[32:198:1] 24360u2 [0,-1,0,-1100,9252] 2 [-36:30:1]&[44:-210:1]
24360v (2 curves)	1	2- 3+ 5- 7- 29-	2- 3+ 5- 7-  0  2 -6 -2
Curve Equation t Generators 24360v1 [0,-1,0,-75,252] 2 [-3:21:1] 24360v2 [0,-1,0,100,1092] 2 [2:36:1]
24360w (4 curves)	0	2- 3- 5+ 7+ 29-	2- 3- 5+ 7+ -4  2 -2 -4
Curve Equation t 24360w1 [0,1,0,-596,-26496] 4 24360w2 [0,1,0,-17416,-887680] 4 24360w3 [0,1,0,-25536,15264] 2 24360w4 [0,1,0,-278416,-56637280] 2
24360x (1 curve)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  1  6  3  1
Curve Equation t 24360x1 [0,1,0,31744,247200] 1
24360y (1 curve)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7- -1  4 -6  0
Curve Equation t 24360y1 [0,1,0,-18361,-963781] 1
24360z (2 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  4  0  0 -8
Curve Equation t 24360z1 [0,1,0,-196,-1120] 2 24360z2 [0,1,0,-96,-2160] 2
24360ba (2 curves)	0	2- 3- 5+ 7- 29+	2- 3- 5+ 7-  4  4  4  0
Curve Equation t 24360ba1 [0,1,0,-1227716,509197920] 2 24360ba2 [0,1,0,334784,1717947920] 2
24360bb (6 curves)	0	2- 3- 5- 7- 29-	2- 3- 5- 7-  4 -2 -6  4
Curve Equation t 24360bb1 [0,1,0,-2975,49098] 4 24360bb2 [0,1,0,-14980,-666400] 8 24360bb3 [0,1,0,13440,-2871792] 4 24360bb4 [0,1,0,-235480,-44060800] 4 24360bb5 [0,1,0,-231280,-45703840] 2 24360bb6 [0,1,0,-3767680,-2816131360] 2

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

Part of Computational Number Theory
Back to Tables and computations