Cremona's table of elliptic curves

18012 = 2² · 3 · 19 · 79

Class	r	Atkin-Lehner	Eigenvalues
18012a (1 curve)	1	2- 3+ 19+ 79-	2- 3+  2 -1 -3 -1 -1 19+
Curve Equation t Generators 18012a1 [0,-1,0,-332,-2232] 1 [378:2337:8]
18012b (1 curve)	1	2- 3+ 19- 79+	2- 3+  0  4 -2  0  7 19-
Curve Equation t Generators 18012b1 [0,-1,0,-20878,1225129] 1 [66:361:1]
18012c (1 curve)	2	2- 3+ 19- 79-	2- 3+  0 -4 -4  2 -3 19-
Curve Equation t Generators 18012c1 [0,-1,0,-38,105] 1 [-2:13:1]&[3:3:1]
18012d (1 curve)	2	2- 3+ 19- 79-	2- 3+ -3 -1 -1 -4 -3 19-
Curve Equation t Generators 18012d1 [0,-1,0,-11477,-549711] 1 [25355:291194:125]&[128:249:1]
18012e (1 curve)	1	2- 3- 19+ 79+	2- 3-  2 -2  0  4  3 19+
Curve Equation t Generators 18012e1 [0,1,0,-847762,315102197] 1 [47002:3561339:8]
18012f (2 curves)	1	2- 3- 19+ 79+	2- 3-  2 -2  6 -2 -6 19+
Curve Equation t Generators 18012f1 [0,1,0,-717,-7632] 2 [4080:8664:125] 18012f2 [0,1,0,-812,-5580] 2 [-17:60:1]
18012g (1 curve)	2	2- 3- 19+ 79-	2- 3- -2 -2 -6 -2 -7 19+
Curve Equation t Generators 18012g1 [0,1,0,546,8217] 1 [-6:69:1]&[-3:81:1]
18012h (2 curves)	1	2- 3- 19- 79-	2- 3- -3 -4  6 -4  0 19-
Curve Equation t Generators 18012h1 [0,1,0,1468,-1596] 3 [4:66:1] 18012h2 [0,1,0,-21212,-1262604] 1 [451:9006:1]
18012i (1 curve)	1	2- 3- 19- 79-	2- 3- -4  4  2 -4  1 19-
Curve Equation t Generators 18012i1 [0,1,0,10,9] 1 [0:3:1]

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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