Cremona's table of elliptic curves

24400 = 2⁴ · 5² · 61

Class	r	Atkin-Lehner	Eigenvalues
24400a (2 curves)	1	2+ 5+ 61+	2+  0 5+  2  0 -6 -4  4
Curve Equation t Generators 24400a1 [0,0,0,-550,4875] 2 [95:900:1] 24400a2 [0,0,0,-1175,-8250] 2 [-10:50:1]
24400b (2 curves)	1	2+ 5+ 61+	2+  0 5+  2 -4  2  4 -4
Curve Equation t Generators 24400b1 [0,0,0,-2542550,-325166125] 2 [97919542759165:9388145378637500:10345981339] 24400b2 [0,0,0,-30915175,-66064538250] 2 [67335654607542117527399014860:5437736010859273550772017578125:6607288009851577376791744]
24400c (1 curve)	1	2+ 5+ 61+	2+  0 5+ -4  6 -3 -7  1
Curve Equation t Generators 24400c1 [0,0,0,1974325,1935868250] 1 [-695:15100:1]
24400d (1 curve)	1	2+ 5+ 61+	2+ -1 5+  2  3 -6 -3  5
Curve Equation t Generators 24400d1 [0,-1,0,9792,178912] 1 [-12:244:1]
24400e (1 curve)	0	2+ 5+ 61-	2+ -1 5+  1  2  2  4  4
Curve Equation t 24400e1 [0,-1,0,-15208,728912] 1
24400f (2 curves)	0	2+ 5+ 61-	2+  2 5+  4  2  2 -2  4
Curve Equation t 24400f1 [0,-1,0,-2508,-47488] 2 24400f2 [0,-1,0,-2008,-67488] 2
24400g (2 curves)	2	2+ 5- 61+	2+  0 5-  0 -6  4 -2 -8
Curve Equation t Generators 24400g1 [0,0,0,-2375,43750] 2 [9:152:1]&[21:56:1] 24400g2 [0,0,0,125,131250] 2 [11:366:1]&[146:1806:1]
24400h (2 curves)	2	2+ 5- 61+	2+  0 5-  0 -6 -4  2 -8
Curve Equation t Generators 24400h1 [0,0,0,-95,350] 2 [-11:8:1]&[1:16:1] 24400h2 [0,0,0,5,1050] 2 [-5:30:1]&[6:36:1]
24400i (1 curve)	0	2+ 5- 61+	2+  1 5- -2  3  6  3  5
Curve Equation t 24400i1 [0,1,0,392,1588] 1
24400j (2 curves)	0	2+ 5- 61+	2+  2 5-  0 -4  4  6  4
Curve Equation t 24400j1 [0,-1,0,-2583,48662] 2 24400j2 [0,-1,0,-40708,3174912] 2
24400k (2 curves)	2	2+ 5- 61+	2+ -2 5-  0 -4 -4 -6  4
Curve Equation t Generators 24400k1 [0,1,0,-103,348] 2 [4:4:1]&[8:10:1] 24400k2 [0,1,0,-1628,24748] 2 [-26:224:1]&[18:40:1]
24400l (1 curve)	1	2+ 5- 61-	2+  1 5- -1  2 -2 -4  4
Curve Equation t Generators 24400l1 [0,1,0,-608,5588] 1 [14:4:1]
24400m (1 curve)	1	2+ 5- 61-	2+  2 5-  2 -2  5  3 -5
Curve Equation t Generators 24400m1 [0,-1,0,15792,1226912] 1 [84:30500:27]
24400n (1 curve)	1	2+ 5- 61-	2+ -2 5- -2 -2 -5 -3 -5
Curve Equation t Generators 24400n1 [0,1,0,632,10068] 1 [68:610:1]
24400o (2 curves)	0	2- 5+ 61+	2-  0 5+  2  6 -6 -2 -4
Curve Equation t 24400o1 [0,0,0,-12700,550875] 2 24400o2 [0,0,0,-12575,562250] 2
24400p (1 curve)	0	2- 5+ 61+	2- -2 5+  1  5 -1 -4  4
Curve Equation t 24400p1 [0,1,0,-808,-9612] 1
24400q (1 curve)	0	2- 5+ 61+	2- -2 5+ -5  3  3  0  0
Curve Equation t 24400q1 [0,1,0,992,-12] 1
24400r (1 curve)	0	2- 5+ 61+	2-  3 5+ -1 -6  6 -8 -4
Curve Equation t 24400r1 [0,0,0,5,170] 1
24400s (1 curve)	0	2- 5+ 61+	2- -3 5+  2  3  0  7 -1
Curve Equation t 24400s1 [0,0,0,-301435,63910570] 1
24400t (1 curve)	1	2- 5+ 61-	2-  0 5+  0 -2 -1 -7  1
Curve Equation t Generators 24400t1 [0,0,0,-14075,670250] 1 [55:-250:1]
24400u (4 curves)	1	2- 5+ 61-	2-  0 5+  0  4  2  2  4
Curve Equation t Generators 24400u1 [0,0,0,-65675,-6455750] 2 [2370:2375:8] 24400u2 [0,0,0,-97675,488250] 4 [23477:722304:4913] 24400u3 [0,0,0,390325,3904250] 2 [2165305402:-1437493181454:4913] 24400u4 [0,0,0,-1097675,441488250] 4 [341:10336:1]
24400v (1 curve)	1	2- 5+ 61-	2-  0 5+ -3  1 -1  2 -2
Curve Equation t Generators 24400v1 [0,0,0,25,-750] 1 [134:1552:1]
24400w (2 curves)	1	2- 5+ 61-	2-  2 5+  0  6 -6 -6  4
Curve Equation t Generators 24400w1 [0,-1,0,-2008,22512] 2 [57:300:1] 24400w2 [0,-1,0,5992,150512] 2 [579:14500:27]
24400x (1 curve)	1	2- 5- 61+	2-  2 5-  2 -2 -5  7 -1
Curve Equation t Generators 24400x1 [0,-1,0,32,-768] 1 [42:270:1]
24400y (2 curves)	1	2- 5- 61+	2-  2 5-  4  0 -4 -6  4
Curve Equation t Generators 24400y1 [0,-1,0,-128,-448] 2 [37:210:1] 24400y2 [0,-1,0,-528,4352] 2 [8:24:1]
24400z (2 curves)	1	2- 5- 61+	2-  2 5- -4  4  4 -2 -4
Curve Equation t Generators 24400z1 [0,-1,0,-2733208,1734684912] 2 [1360284010668:-6040883298304:1564936281] 24400z2 [0,-1,0,-43693208,111179804912] 2 [68889636:-657728000:19683]
24400ba (1 curve)	1	2- 5- 61+	2- -2 5- -2 -2  5 -7 -1
Curve Equation t Generators 24400ba1 [0,1,0,792,-94412] 1 [158:2000:1]
24400bb (2 curves)	1	2- 5- 61+	2- -2 5-  4  4 -4  2 -4
Curve Equation t Generators 24400bb1 [0,1,0,-109328,13833748] 2 [223:770:1] 24400bb2 [0,1,0,-1747728,888739348] 2 [642:5632:1]
24400bc (2 curves)	1	2- 5- 61+	2- -2 5- -4  0  4  6  4
Curve Equation t Generators 24400bc1 [0,1,0,-3208,-62412] 2 [-26:64:1] 24400bc2 [0,1,0,-13208,517588] 2 [-42:1000:1]
24400bd (1 curve)	1	2- 5- 61+	2-  3 5- -2  3  0 -7 -1
Curve Equation t Generators 24400bd1 [0,0,0,-7535875,7988821250] 1 [372825:47628800:729]
24400be (1 curve)	1	2- 5- 61+	2- -3 5-  1 -6 -6  8 -4
Curve Equation t Generators 24400be1 [0,0,0,125,21250] 1 [25:200:1]

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