Cremona's table of elliptic curves

4400 = 2⁴ · 5² · 11

Class	r	Atkin-Lehner	Eigenvalues
4400a (2 curves)	1	2+ 5+ 11+	2+  0 5+ -2 11+  4  4  0
Curve Equation t Generators 4400a1 [0,0,0,50,375] 2 [-1:18:1] 4400a2 [0,0,0,-575,4750] 2 [-15:100:1]
4400b (2 curves)	0	2+ 5+ 11-	2+  0 5+ -2 11-  0  0  8
Curve Equation t 4400b1 [0,0,0,-950,10875] 2 4400b2 [0,0,0,425,39750] 2
4400c (4 curves)	0	2+ 5+ 11-	2+  0 5+  4 11- -6  6 -4
Curve Equation t 4400c1 [0,0,0,-126050,-17225125] 2 4400c2 [0,0,0,-126175,-17189250] 4 4400c3 [0,0,0,-188675,1623250] 4 4400c4 [0,0,0,-65675,-33705750] 2
4400d (1 curve)	0	2+ 5+ 11-	2+  3 5+  1 11-  6 -3  5
Curve Equation t 4400d1 [0,0,0,-1675,28250] 1
4400e (1 curve)	0	2+ 5+ 11-	2+ -3 5+ -2 11-  0  6 -4
Curve Equation t 4400e1 [0,0,0,-100,-500] 1
4400f (2 curves)	0	2+ 5- 11+	2+  2 5-  4 11+  6 -2 -4
Curve Equation t 4400f1 [0,-1,0,292,2912] 2 4400f2 [0,-1,0,-2208,32912] 2
4400g (2 curves)	2	2+ 5- 11+	2+ -2 5- -4 11+ -6  2 -4
Curve Equation t Generators 4400g1 [0,1,0,12,28] 2 [-1:4:1]&[2:8:1] 4400g2 [0,1,0,-88,228] 2 [-8:22:1]&[-6:24:1]
4400h (1 curve)	1	2+ 5- 11-	2+  1 5- -1 11-  0  1 -1
Curve Equation t Generators 4400h1 [0,1,0,792,5588] 1 [58:500:1]
4400i (1 curve)	1	2+ 5- 11-	2+ -1 5-  1 11-  0 -1 -1
Curve Equation t Generators 4400i1 [0,-1,0,32,32] 1 [2:10:1]
4400j (2 curves)	1	2+ 5- 11-	2+  2 5- -2 11-  0 -4 -4
Curve Equation t Generators 4400j1 [0,-1,0,-5083,141162] 2 [2586:45375:8] 4400j2 [0,-1,0,-5708,104912] 2 [16:132:1]
4400k (2 curves)	1	2+ 5- 11-	2+ -2 5-  2 11-  0  4 -4
Curve Equation t Generators 4400k1 [0,1,0,-203,1048] 2 [12:22:1] 4400k2 [0,1,0,-228,748] 2 [-6:44:1]
4400l (2 curves)	0	2- 5+ 11+	2-  1 5+  5 11+ -2 -3  7
Curve Equation t 4400l1 [0,1,0,-35408,-2600812] 1 4400l2 [0,1,0,118592,-13380812] 1
4400m (3 curves)	0	2- 5+ 11+	2- -1 5+ -2 11+ -4  2  0
Curve Equation t 4400m1 [0,-1,0,-133,-1363] 1 4400m2 [0,-1,0,-4133,186637] 1 4400m3 [0,-1,0,-3128133,2130534637] 1
4400n (2 curves)	0	2- 5+ 11+	2- -1 5+  3 11+  6  7 -5
Curve Equation t 4400n1 [0,-1,0,3992,390512] 1 4400n2 [0,-1,0,-2376008,1410470512] 1
4400o (2 curves)	0	2- 5+ 11+	2-  2 5+  0 11+  0  4  4
Curve Equation t 4400o1 [0,-1,0,-133,12] 2 4400o2 [0,-1,0,-1508,-21988] 2
4400p (1 curve)	0	2- 5+ 11+	2-  2 5+  0 11+ -3  4  1
Curve Equation t 4400p1 [0,-1,0,-3288,73712] 1
4400q (4 curves)	1	2- 5+ 11-	2-  0 5+  0 11- -2 -6  4
Curve Equation t Generators 4400q1 [0,0,0,325,-1750] 2 [10:50:1] 4400q2 [0,0,0,-1675,-15750] 4 [-19:96:1] 4400q3 [0,0,0,-23675,-1401750] 2 [-702:57:8] 4400q4 [0,0,0,-11675,474250] 4 [-51:968:1]
4400r (2 curves)	1	2- 5+ 11-	2-  1 5+ -1 11- -2  3  1
Curve Equation t Generators 4400r1 [0,1,0,-408,-8812] 1 [28:50:1] 4400r2 [0,1,0,3592,207188] 1 [188:2750:1]
4400s (2 curves)	1	2- 5+ 11-	2-  1 5+  2 11-  4 -6 -8
Curve Equation t Generators 4400s1 [0,1,0,67,263] 1 [-1:14:1] 4400s2 [0,1,0,-1933,32263] 1 [27:22:1]
4400t (4 curves)	1	2- 5+ 11-	2- -2 5+ -4 11-  4  0  4
Curve Equation t Generators 4400t1 [0,1,0,-1133,-14762] 2 [198:2750:1] 4400t2 [0,1,0,-2508,26488] 2 [63:350:1] 4400t3 [0,1,0,-11133,442738] 2 [98:550:1] 4400t4 [0,1,0,-177508,28726488] 2 [263:550:1]
4400u (2 curves)	1	2- 5+ 11-	2- -2 5+ -4 11- -5  0  7
Curve Equation t Generators 4400u1 [0,1,0,32,-12] 1 [2:8:1] 4400u2 [0,1,0,-368,3028] 1 [34:176:1]
4400v (3 curves)	1	2- 5- 11+	2-  1 5- -3 11+  4  3  5
Curve Equation t Generators 4400v1 [0,1,0,-448,3508] 1 [18:40:1] 4400v2 [0,1,0,3152,-37292] 1 [18:160:1] 4400v3 [0,1,0,-485248,-130268492] 1 [167658:68648960:1]
4400w (3 curves)	1	2- 5- 11+	2- -1 5-  3 11+ -4 -3  5
Curve Equation t Generators 4400w1 [0,-1,0,-11208,460912] 1 [42:250:1] 4400w2 [0,-1,0,78792,-4819088] 1 [1042:34750:1] 4400w3 [0,-1,0,-12131208,-16259299088] 1 [6931688647518:-682332664544750:633839779]
4400x (2 curves)	1	2- 5- 11+	2-  2 5-  0 11+  2 -6 -4
Curve Equation t Generators 4400x1 [0,-1,0,-88,-528] 2 [57:420:1] 4400x2 [0,-1,0,-1688,-26128] 2 [76:528:1]
4400y (2 curves)	1	2- 5- 11+	2- -2 5-  0 11+ -2  6 -4
Curve Equation t Generators 4400y1 [0,1,0,-2208,-70412] 2 [314:5504:1] 4400y2 [0,1,0,-42208,-3350412] 2 [-118:32:1]
4400z (1 curve)	1	2- 5- 11+	2- -2 5-  0 11+  3 -4  1
Curve Equation t Generators 4400z1 [0,1,0,-82208,9049588] 1 [154:256:1]
4400ba (2 curves)	0	2- 5- 11-	2-  0 5-  2 11-  6  2  4
Curve Equation t 4400ba1 [0,0,0,-20,-25] 2 4400ba2 [0,0,0,-295,-1950] 2
4400bb (2 curves)	0	2- 5- 11-	2-  0 5- -2 11- -6 -2  4
Curve Equation t 4400bb1 [0,0,0,-500,-3125] 2 4400bb2 [0,0,0,-7375,-243750] 2
4400bc (2 curves)	0	2- 5- 11-	2-  2 5-  4 11-  5  0  7
Curve Equation t 4400bc1 [0,-1,0,792,-3088] 1 4400bc2 [0,-1,0,-9208,396912] 1
4400bd (1 curve)	0	2- 5- 11-	2-  3 5-  1 11-  0 -5  7
Curve Equation t 4400bd1 [0,0,0,-235,-5350] 1
4400be (1 curve)	0	2- 5- 11-	2- -3 5- -1 11-  0  5  7
Curve Equation t 4400be1 [0,0,0,-5875,-668750] 1

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