Cremona's table of elliptic curves

1314 = 2 · 3² · 73

Class	r	Atkin-Lehner	Eigenvalues
1314a (4 curves)	1	2+ 3- 73-	2+ 3-  0  2  0 -4 -6 -4
Curve Equation t Generators 1314a1 [1,-1,0,-8442,258228] 2 [33:105:1] 1314a2 [1,-1,0,14598,1405620] 2 [-53:720:1] 1314a3 [1,-1,0,-656442,204875892] 6 [1644:58902:1] 1314a4 [1,-1,0,-656082,205111548] 6 [563871:20204463:343]
1314b (2 curves)	1	2+ 3- 73-	2+ 3-  0 -2 -4  4  2  4
Curve Equation t Generators 1314b1 [1,-1,0,-117,513] 2 [3:12:1] 1314b2 [1,-1,0,-27,1215] 2 [7:33:1]
1314c (4 curves)	1	2+ 3- 73-	2+ 3-  2 -4  0 -2  6 -4
Curve Equation t Generators 1314c1 [1,-1,0,-171,-635] 2 [-7:17:1] 1314c2 [1,-1,0,-891,9877] 4 [2:89:1] 1314c3 [1,-1,0,-14031,643225] 2 [8:725:1] 1314c4 [1,-1,0,729,40657] 2 [-9:187:1]
1314d (2 curves)	1	2- 3- 73+	2- 3-  0 -2 -4 -6  0 -4
Curve Equation t Generators 1314d1 [1,-1,1,-50,33] 2 [-1:9:1] 1314d2 [1,-1,1,-590,5649] 2 [17:9:1]
1314e (2 curves)	1	2- 3- 73+	2- 3- -2 -2 -2  4 -4 -4
Curve Equation t Generators 1314e1 [1,-1,1,-1166,15005] 2 [9:67:1] 1314e2 [1,-1,1,-18446,968861] 2 [81:-5:1]
1314f (4 curves)	0	2- 3- 73-	2- 3-  0 -4  6 -4  6  8
Curve Equation t 1314f1 [1,-1,1,-17510,-885067] 2 1314f2 [1,-1,1,-279950,-56942251] 2 1314f3 [1,-1,1,-86765,9122645] 6 1314f4 [1,-1,1,-294125,-50845867] 6
1314g (2 curves)	0	2- 3- 73-	2- 3-  4  0 -2  0  6 -8
Curve Equation t 1314g1 [1,-1,1,-68,-61] 2 1314g2 [1,-1,1,-878,-9781] 2

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

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