Cremona's table of elliptic curves

8664 = 2³ · 3 · 19²

Class	r	Atkin-Lehner	Eigenvalues
8664a (2 curves)	1	2+ 3+ 19+	2+ 3+ -2 -4  2  0 -2 19+
Curve Equation t Generators 8664a1 [0,-1,0,-44,-12] 2 [-2:8:1] 8664a2 [0,-1,0,-424,3484] 2 [-6:76:1]
8664b (1 curve)	1	2+ 3+ 19+	2+ 3+ -2 -5 -4  5  0 19+
Curve Equation t Generators 8664b1 [0,-1,0,-16004,-1741932] 1 [241:2888:1]
8664c (1 curve)	1	2+ 3+ 19+	2+ 3+  3  1 -3  0 -7 19+
Curve Equation t Generators 8664c1 [0,-1,0,-1490689,-2952847259] 1 [18865:2585034:1]
8664d (1 curve)	0	2+ 3- 19+	2+ 3-  0  3  2  1  4 19+
Curve Equation t 8664d1 [0,1,0,-22863,-1344618] 1
8664e (1 curve)	0	2+ 3- 19+	2+ 3-  2 -3  0  5 -4 19+
Curve Equation t 8664e1 [0,1,0,4573,54618] 1
8664f (1 curve)	1	2+ 3- 19-	2+ 3-  1 -3 -5  2 -1 19-
Curve Equation t Generators 8664f1 [0,1,0,19735,-756549] 1 [139:2166:1]
8664g (6 curves)	1	2+ 3- 19-	2+ 3- -2  0  4  2  2 19-
Curve Equation t Generators 8664g1 [0,1,0,241,-1698] 2 [1587:12635:27] 8664g2 [0,1,0,-1564,-18304] 4 [-9184:24480:343] 8664g3 [0,1,0,-23224,-1369888] 2 [-148265551:16258920:1685159] 8664g4 [0,1,0,-8784,299376] 4 [-84:672:1] 8664g5 [0,1,0,-138744,19845360] 2 [999:29652:1] 8664g6 [0,1,0,5656,1200432] 2 [139:2166:1]
8664h (1 curve)	1	2- 3+ 19-	2- 3+  0  3  2 -1  4 19-
Curve Equation t Generators 8664h1 [0,-1,0,-63,216] 1 [5:1:1]
8664i (4 curves)	1	2- 3+ 19-	2- 3+  2  0  0 -2  2 19-
Curve Equation t Generators 8664i1 [0,-1,0,-62212,5992132] 4 [12021:1317650:1] 8664i2 [0,-1,0,-69432,4522140] 4 [2350590:18191600:35937] 8664i3 [0,-1,0,-459312,-116340660] 2 [-48376734873126:123419370439925:111840831432] 8664i4 [0,-1,0,204928,31189932] 2 [6747469483425:-740157730649162:561515625]
8664j (1 curve)	1	2- 3+ 19-	2- 3+  2 -3  0 -5 -4 19-
Curve Equation t Generators 8664j1 [0,-1,0,13,-12] 1 [1:1:1]
8664k (1 curve)	1	2- 3+ 19-	2- 3+ -3 -3 -1  2 -5 19-
Curve Equation t Generators 8664k1 [0,-1,0,-20697,-1296819] 1 [735:19494:1]
8664l (2 curves)	1	2- 3- 19+	2- 3- -2 -4  2  0 -2 19+
Curve Equation t Generators 8664l1 [0,1,0,-16004,178080] 2 [-42:882:1] 8664l2 [0,1,0,-153184,-22977904] 2 [-154080:29204:729]
8664m (1 curve)	1	2- 3- 19+	2- 3-  3  1 -3  0 -7 19+
Curve Equation t Generators 8664m1 [0,1,0,-4129,429203] 1 [101:1026:1]
8664n (1 curve)	2	2- 3- 19-	2- 3- -2 -5 -4 -5  0 19-
Curve Equation t Generators 8664n1 [0,1,0,-44,240] 1 [-6:18:1]&[-2:18:1]
8664o (2 curves)	0	2- 3- 19-	2- 3-  4  4 -4  4  6 19-
Curve Equation t 8664o1 [0,1,0,-5896,-156928] 2 8664o2 [0,1,0,8544,-792288] 2

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