Cremona's table of elliptic curves

1218 = 2 · 3 · 7 · 29

Class	r	Atkin-Lehner	Eigenvalues
1218a (1 curve)	0	2+ 3+ 7+ 29-	2+ 3+ -2 7+  1 -5  2 -5
Curve Equation t 1218a1 [1,1,0,1099,159789] 1
1218b (1 curve)	0	2+ 3+ 7- 29+	2+ 3+  2 7-  1  1  2 -1
Curve Equation t 1218b1 [1,1,0,-9,-27] 1
1218c (2 curves)	1	2+ 3- 7+ 29-	2+ 3-  0 7+  0 -6 -2  0
Curve Equation t Generators 1218c1 [1,0,1,109,110] 2 [6:28:1] 1218c2 [1,0,1,-451,782] 2 [67:-556:1]
1218d (1 curve)	0	2- 3+ 7+ 29+	2- 3+ -2 7+  3 -1  2  3
Curve Equation t 1218d1 [1,1,1,168241,-48136363] 1
1218e (2 curves)	0	2- 3+ 7+ 29+	2- 3+  4 7+  0  2  2  0
Curve Equation t 1218e1 [1,1,1,-441,3831] 2 1218e2 [1,1,1,-7301,237071] 2
1218f (2 curves)	1	2- 3+ 7+ 29-	2- 3+  0 7+ -4 -4 -4  8
Curve Equation t Generators 1218f1 [1,1,1,-203,-3463] 2 [27:94:1] 1218f2 [1,1,1,-4843,-131527] 2 [-41:34:1]
1218g (4 curves)	0	2- 3- 7+ 29-	2- 3-  2 7+  4  6 -6 -4
Curve Equation t 1218g1 [1,0,0,-707,-6975] 2 1218g2 [1,0,0,-1987,25025] 4 1218g3 [1,0,0,-29427,1940337] 4 1218g4 [1,0,0,4973,162833] 2
1218h (4 curves)	0	2- 3- 7+ 29-	2- 3-  2 7+  4 -6  6 -4
Curve Equation t 1218h1 [1,0,0,-4171027,-4433376223] 4 1218h2 [1,0,0,-73065747,-240370234335] 4 1218h3 [1,0,0,-1169015187,-15384418786143] 2 1218h4 [1,0,0,-79431827,-196005022815] 2
1218i (1 curve)	0	2- 3- 7+ 29-	2- 3-  2 7+ -5  3  6  5
Curve Equation t 1218i1 [1,0,0,-42,102] 1
1218j (2 curves)	0	2- 3- 7+ 29-	2- 3- -4 7+  4  0  0  8
Curve Equation t 1218j1 [1,0,0,45,-99] 2 1218j2 [1,0,0,-245,-969] 2
1218k (4 curves)	0	2- 3- 7- 29+	2- 3-  0 7-  0  2 -6  8
Curve Equation t 1218k1 [1,0,0,-133,833] 6 1218k2 [1,0,0,-2373,44289] 6 1218k3 [1,0,0,1067,-11695] 2 1218k4 [1,0,0,-5793,-109107] 2

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

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