Cremona's table of elliptic curves

53664 = 2⁵ · 3 · 13 · 43

Class	r	Atkin-Lehner	Eigenvalues
53664a (2 curves)	1	2+ 3+ 13+ 43+	2+ 3+  2 -4  4 13+  6 -8
Curve Equation t Generators 53664a1 [0,-1,0,38,40] 2 [10:75:8] 53664a2 [0,-1,0,-177,513] 2 [-9:36:1]
53664b (2 curves)	1	2+ 3+ 13+ 43+	2+ 3+ -2 -2  0 13+ -2  0
Curve Equation t Generators 53664b1 [0,-1,0,-79394,-8584056] 2 [282591:-3155716:729] 53664b2 [0,-1,0,-77704,-8968700] 2 [568:11394:1]
53664c (2 curves)	1	2+ 3+ 13+ 43+	2+ 3+ -2  4  0 13+ -2  0
Curve Equation t Generators 53664c1 [0,-1,0,11406,-5142456] 2 [1282212162207970:-32625412620840873:1993715486056] 53664c2 [0,-1,0,-386129,-88863327] 2 [-3474833152:-17708145561:10218313]
53664d (1 curve)	0	2+ 3- 13+ 43+	2+ 3- -1  2  4 13+  0 -1
Curve Equation t 53664d1 [0,1,0,9424,18167388] 1
53664e (2 curves)	1	2+ 3- 13+ 43-	2+ 3- -2  4 -2 13+ -2  6
Curve Equation t Generators 53664e1 [0,1,0,-34,-64] 2 [218:1131:8] 53664e2 [0,1,0,96,-324] 2 [5694:31465:216]
53664f (4 curves)	1	2+ 3- 13- 43+	2+ 3-  2 -4 -4 13- -6  4
Curve Equation t Generators 53664f1 [0,1,0,-1386002,-570774960] 4 [-530:3900:1] 53664f2 [0,1,0,1738808,-2773141048] 4 [152447050:4262688261:125000] 53664f3 [0,1,0,-5082032,3783148380] 2 [14714:205725:8] 53664f4 [0,1,0,-21604817,-38658978657] 2 [-2678:351:1]
53664g (2 curves)	2	2- 3+ 13+ 43+	2- 3+ -2 -4  2 13+ -2 -6
Curve Equation t Generators 53664g1 [0,-1,0,-34,64] 2 [-6:4:1]&[0:8:1] 53664g2 [0,-1,0,96,324] 2 [0:18:1]&[13:60:1]
53664h (2 curves)	0	2- 3+ 13+ 43+	2- 3+  4  4 -6 13+  6  4
Curve Equation t 53664h1 [0,-1,0,-146,468] 2 53664h2 [0,-1,0,-2081,37233] 2
53664i (1 curve)	1	2- 3+ 13+ 43-	2- 3+ -1 -2 -4 13+  0  1
Curve Equation t Generators 53664i1 [0,-1,0,9424,-18167388] 1 [496:10406:1]
53664j (2 curves)	2	2- 3+ 13- 43-	2- 3+  0 -2  0 13-  2 -6
Curve Equation t Generators 53664j1 [0,-1,0,-4778,80004] 2 [-70:258:1]&[-16:390:1] 53664j2 [0,-1,0,-32513,-2188719] 2 [-113:172:1]&[208:65:1]
53664k (4 curves)	0	2- 3+ 13- 43-	2- 3+  2  4  4 13- -6 -4
Curve Equation t 53664k1 [0,-1,0,-1386002,570774960] 4 53664k2 [0,-1,0,1738808,2773141048] 2 53664k3 [0,-1,0,-5082032,-3783148380] 2 53664k4 [0,-1,0,-21604817,38658978657] 4
53664l (2 curves)	0	2- 3- 13+ 43-	2- 3-  2  4 -4 13+  6  8
Curve Equation t 53664l1 [0,1,0,38,-40] 2 53664l2 [0,1,0,-177,-513] 2
53664m (2 curves)	0	2- 3- 13+ 43-	2- 3- -2  2  0 13+ -2  0
Curve Equation t 53664m1 [0,1,0,-79394,8584056] 2 53664m2 [0,1,0,-77704,8968700] 2
53664n (2 curves)	2	2- 3- 13+ 43-	2- 3- -2 -4  0 13+ -2  0
Curve Equation t Generators 53664n1 [0,1,0,11406,5142456] 2 [21:2322:1]&[138:3060:1] 53664n2 [0,1,0,-386129,88863327] 2 [193:-4644:1]&[-581:10836:1]
53664o (2 curves)	0	2- 3- 13+ 43-	2- 3-  4 -4  6 13+  6 -4
Curve Equation t 53664o1 [0,1,0,-146,-468] 2 53664o2 [0,1,0,-2081,-37233] 2
53664p (2 curves)	0	2- 3- 13- 43+	2- 3-  0  2  0 13-  2  6
Curve Equation t 53664p1 [0,1,0,-4778,-80004] 2 53664p2 [0,1,0,-32513,2188719] 2

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