Cremona's table of elliptic curves

8624 = 2⁴ · 7² · 11

Class	r	Atkin-Lehner	Eigenvalues
8624a (1 curve)	0	2+ 7+ 11-	2+  1  2 7+ 11-  3 -2 -4
Curve Equation t 8624a1 [0,1,0,-9032,-272812] 1
8624b (1 curve)	0	2+ 7- 11+	2+ -1  1 7- 11+  0  2 -2
Curve Equation t 8624b1 [0,-1,0,-65,67453] 1
8624c (2 curves)	0	2+ 7- 11+	2+  2 -4 7- 11+ -2 -2  8
Curve Equation t 8624c1 [0,-1,0,-100,-384] 2 8624c2 [0,-1,0,-1640,-25024] 2
8624d (2 curves)	0	2+ 7- 11+	2+ -2  4 7- 11+  2  2 -8
Curve Equation t 8624d1 [0,1,0,-4916,141532] 2 8624d2 [0,1,0,-80376,8743972] 2
8624e (2 curves)	1	2+ 7- 11-	2+  0  0 7- 11-  6  0 -2
Curve Equation t Generators 8624e1 [0,0,0,4165,29498] 2 [37:484:1] 8624e2 [0,0,0,-17395,240786] 2 [135:594:1]
8624f (4 curves)	1	2+ 7- 11-	2+  0  2 7- 11- -2  2 -4
Curve Equation t Generators 8624f1 [0,0,0,-1274,-17493] 2 [4180455:13082768:91125] 8624f2 [0,0,0,-1519,-10290] 4 [9705:72864:125] 8624f3 [0,0,0,-12299,517930] 2 [-42:980:1] 8624f4 [0,0,0,5341,-77518] 4 [289:5060:1]
8624g (1 curve)	1	2+ 7- 11-	2+ -1 -2 7- 11- -3  2  4
Curve Equation t Generators 8624g1 [0,-1,0,-184,848] 1 [2:22:1]
8624h (2 curves)	1	2+ 7- 11-	2+  2  0 7- 11-  2 -2 -4
Curve Equation t Generators 8624h1 [0,-1,0,-23,-34] 2 [714:3536:27] 8624h2 [0,-1,0,12,-160] 2 [104:1056:1]
8624i (2 curves)	1	2+ 7- 11-	2+  2 -2 7- 11-  0 -4  4
Curve Equation t Generators 8624i1 [0,-1,0,187556,33079488] 2 [6081:475398:1] 8624i2 [0,-1,0,-1116824,318999584] 2 [1370:92169:8]
8624j (2 curves)	1	2+ 7- 11-	2+ -2  0 7- 11- -2  2  4
Curve Equation t Generators 8624j1 [0,1,0,-1143,13936] 2 [80:664:1] 8624j2 [0,1,0,572,53724] 2 [-22:176:1]
8624k (2 curves)	1	2+ 7- 11-	2+ -2 -2 7- 11- -4  0 -4
Curve Equation t Generators 8624k1 [0,1,0,-604,-9780] 2 [58:392:1] 8624k2 [0,1,0,-11384,-471164] 2 [135:686:1]
8624l (1 curve)	1	2+ 7- 11-	2+ -3  3 7- 11-  0  6  4
Curve Equation t Generators 8624l1 [0,0,0,-196,1372] 1 [-7:49:1]
8624m (2 curves)	1	2- 7+ 11-	2- -1  0 7+ 11- -1 -6 -2
Curve Equation t Generators 8624m1 [0,-1,0,-408,-2960] 1 [-12:8:1] 8624m2 [0,-1,0,-4328,109936] 1 [20:176:1]
8624n (2 curves)	1	2- 7+ 11-	2- -1  0 7+ 11-  5  6 -2
Curve Equation t Generators 8624n1 [0,-1,0,-61168,3789248] 1 [34:1322:1] 8624n2 [0,-1,0,-4451568,3616561600] 1 [1218:22:1]
8624o (1 curve)	1	2- 7+ 11-	2-  3 -4 7+ 11- -1  2 -6
Curve Equation t Generators 8624o1 [0,0,0,-490147,132079010] 1 [10731:6272:27]
8624p (1 curve)	1	2- 7+ 11-	2- -3  2 7+ 11- -7  2  0
Curve Equation t Generators 8624p1 [0,0,0,-4459,-91238] 1 [-49:98:1]
8624q (1 curve)	1	2- 7- 11+	2- -1  1 7- 11+  4  6 -2
Curve Equation t Generators 8624q1 [0,-1,0,-1045,14729] 1 [5:98:1]
8624r (3 curves)	1	2- 7- 11+	2- -1 -1 7- 11+ -4  2  0
Curve Equation t Generators 8624r1 [0,-1,0,-261,3949] 1 [12:49:1] 8624r2 [0,-1,0,-8101,-505651] 1 [7716:122059:27] 8624r3 [0,-1,0,-6131141,-5841282131] 1 [11735805988452671340:927882390872138344937:1626753208097529]
8624s (2 curves)	1	2- 7- 11+	2-  2  2 7- 11+ -4 -4  0
Curve Equation t Generators 8624s1 [0,-1,0,2728,207152] 2 [28:552:1] 8624s2 [0,-1,0,-40392,2897840] 2 [3990:9890:27]
8624t (2 curves)	1	2- 7- 11+	2-  2 -2 7- 11+  2  0  2
Curve Equation t Generators 8624t1 [0,-1,0,10176,167168] 2 [146:2178:1] 8624t2 [0,-1,0,-44704,1440384] 2 [155826:923714:729]
8624u (2 curves)	1	2- 7- 11+	2-  2 -2 7- 11+  4  0  4
Curve Equation t Generators 8624u1 [0,-1,0,-11384,-479632] 2 [2716:141408:1] 8624u2 [0,-1,0,-183864,-30284176] 2 [1989666:102557134:729]
8624v (2 curves)	1	2- 7- 11+	2- -2  2 7- 11+ -2  0 -2
Curve Equation t Generators 8624v1 [0,1,0,208,-428] 2 [4:22:1] 8624v2 [0,1,0,-912,-4460] 2 [-12:70:1]
8624w (4 curves)	0	2- 7- 11-	2-  0 -2 7- 11- -2 -2  0
Curve Equation t 8624w1 [0,0,0,-2891,-1968134] 2 8624w2 [0,0,0,-253771,-48681990] 4 8624w3 [0,0,0,-4048331,-3135177094] 2 8624w4 [0,0,0,-473291,48126330] 4
8624x (2 curves)	0	2- 7- 11-	2-  0  4 7- 11- -2  4 -6
Curve Equation t 8624x1 [0,0,0,-22883,1354850] 2 8624x2 [0,0,0,-367843,85870050] 2
8624y (2 curves)	0	2- 7- 11-	2-  1  0 7- 11-  1  6  2
Curve Equation t 8624y1 [0,1,0,-20008,1055284] 1 8624y2 [0,1,0,-212088,-37283884] 1
8624z (2 curves)	0	2- 7- 11-	2-  1  0 7- 11- -5 -6  2
Curve Equation t 8624z1 [0,1,0,-1248,-11404] 1 8624z2 [0,1,0,-90848,-10569868] 1
8624ba (2 curves)	0	2- 7- 11-	2-  1  3 7- 11-  4 -6  8
Curve Equation t 8624ba1 [0,1,0,131,-617] 1 8624ba2 [0,1,0,-3789,-91561] 1
8624bb (3 curves)	0	2- 7- 11-	2-  1 -3 7- 11-  4  6  2
Curve Equation t 8624bb1 [0,1,0,-70037,7110851] 1 8624bb2 [0,1,0,-38677,13523971] 1 8624bb3 [0,1,0,345483,-350275549] 1
8624bc (1 curve)	0	2- 7- 11-	2-  3 -2 7- 11-  7 -2  0
Curve Equation t 8624bc1 [0,0,0,-91,266] 1
8624bd (1 curve)	0	2- 7- 11-	2- -3  1 7- 11-  4 -2 -6
Curve Equation t 8624bd1 [0,0,0,1568,5488] 1
8624be (1 curve)	0	2- 7- 11-	2- -3  4 7- 11-  1 -2  6
Curve Equation t 8624be1 [0,0,0,-10003,-385070] 1

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